Answers
First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.
For: x=0
(-5.0) +2y =-6
0+2y = -6
2y =-6
2y/2= -6/2
y =-3 or (0 , -3)
For: x=2
(-5.2+2y)=-6
-10+2y =-6
10+10+2y=10+ −6
0+2y=4
#2y = 4
2y/2=4/2
y=2 or (2,2)
We can now graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.
graph{(x^2+(y+3)^2-0.125)((x-2)^2+(y-2)^2-0.125)(-5x+2y+6)=0 [-20, 20, -10, 10]}
Now, we can shade the left side of the line.
We need to change the boundary to a dashed line because the inequality operator does not contain an "or equal to" clause.
graph{(-5x+2y+6) > 0 [-20, 20, -10, 10]}
What is equality?Social equality is a state of affairs in which all individuals within a specific society have equal rights, liberties, and status, possibly including civil rights, freedom of expression, autonomy, and equal access to certain public goods and social services.Equality is about ensuring that every individual has an equal opportunity to make the most of their lives and talents.To learn more about inequality refer to:
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Related Questions
actuarial math, see attached
Answers
The total accumulated value if $1000 is deposited starting from 2017: (a) using the investment year value is $1897 and (b) Using the portfolio method is $1280.50
How to calculate the value of investment?You should be aware that the investment year rates are divided into three. Therefore, sum the rates to get the total rate for the years
(a)
Using the investment year method
Total rate for the investment year is
10.0%+10.0%+9.9%=29.9%
The investment value is=$1000
=29.9%*$1000
=0.299*1000
=$299*3 years= $897
After three years = $(1000+897)
=$1897
(b) Using the portfolio method
rate=9.35%
Value=$1000
=9.35%*1000
0.0935*1000
=$93.5
After 3 years, from 2017 = $[1000+(3*93.5)]
=$(1000+20.5)
=$1280.5
In conclusion, the total accumulated value if $1000 is deposited starting from 2017: (a) using the investment year value is $1897 and (b) Using the portfolio method is $1280.50
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Say that there are two donors considering whom to back in the upcoming presidential primary: either candidate AOC or candidate CB. Both donors want party unity, in which both donors back the same candidate. However, donor 1 would rather the party unite around AOC rather than CB, while donor 2 would rather the party unite around CB. For both donors, a fractured party (a party where people differ on whom they support) is the worst thing.
a; Say that donor 1 chooses whom to back first. Then donor 2 makes their choice. Model this as an extensive form game. For donor 1, use the payoffs 0, 1, 2. For donor 2, use the payoffs 0, 1, 2. Find all (pure strategy) Nash equilibria of this game. Write down which of these Nash equilibria are subgame perfect. In your opinion, is it better to be the donor who
goes first (donor 1) or the donor who goes second (donor 2)?
b; Now say that there are three donors, and again each donor chooses whether to back AOC or CB. Again, donor 1 would rather the party unite around AOC rather than CB, while donor 2 would rather the party unite around CB, and for both donors, a fractured party is the worst thing. The third donor is most concerned that CB gets at least some support: the worst thing for donor 3 is if CB gets no support at all. Otherwise, donor 3 would like to have party unity also. Donor 1 goes first, then donor 2, and then donor 3. Model this as an extensive form game. For donor 1, use the payoffs 0, 1, 2. For donor 2, use the payoffs 0, 1, 2. For donor 3, use the payoffs 0, 1, 2. Find a subgame perfect Nash equilibrium of this game (you don’t have to write down all of them).
Answers
a; The Nash equilibria of this game are (AOC, AOC) and (CB, CB). Both of these are subgame-perfect Nash equilibria.
In this case, it is better to be the donor who goes first (donor 1). This is because donor 1 can choose the outcome they prefer, and donor 2 will then have to accept the choice made by donor 1.
b; The subgame perfect Nash equilibrium of this game is (AOC, CB, CB). This equilibrium implies that donor 1 backs AOC, donor 2 backs CB, and donor 3 also backs CB. In this case, donor 3 has more power than the other two donors, as they are able to influence the outcome even though they go last.
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Find the inverse of the equation
Y=5/x-1
Answers
The inverse of the equation is y = (5/x) + 1
How to determine the inverse of the equation?From the question, we have the following parameters that can be used in our computation:
y = 5/(x - 1)
Start by swaping the positions of x an dy
So, we have the following representation
x = 5/(y - 1)
So, we have
x(y - 1) = 5
Divide both sides by x
y - 1 = 5/x
Add 1 to both sides
y = (5/x) + 1
Hence, the inverse is y = (5/x) + 1
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A set of data items is normally distributed with a mean of 300 and a standard deviation of 60. Why’d the data item in this distribution that corresponds to the given z-score
Z= 2.5
Answers
The data item that corresponds to the z-score of 2.5 is 450.
What is Standard deviation?
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.
A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance. Although less robust in practice, it is algebraically easier than the average absolute deviation. The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, makes it a valuable statistic.
As, x = z×s + u, where z=2.5, s=60, u=300
⇒ x = 2.5×60 + 300
⇒ x = 150 + 300
⇒ x = 450
The data item that corresponds to the given z-score is 450.
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8 ft 10 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate . A = [?]ft? Notice that only half of the circle is included in the figure!
Answers
find the area of the rectangle;
w x l = 8 x 10 = 80ft^2
circle;
pi(r)^2
r = 4
pi(4)^2
pi(16) = 50.24
80 + 50.24 = 130.24
HELPP!!!!! HURRY!!!! Function g(x) = |x − 9| is a transformation of function f(x) = |x|. What effect does the value 9 have on the graph of function f? A. It translates the graph 9 units to the left. B. It translates the graph 9 units to the right. C. It vertically compresses the graph by a factor of 9. D. It vertically stretches the graph by a factor of 9.
Answers
Answer:
C
Step-by-step explanation:
Answer:
B: It translates the graph 9 units to the right.
Step-by-step explanation:
The value 9 has the effect of translating the graph of function f(x) = |x| 9 units to the right. This is because the transformation g(x) = |x - 9| is obtained from f(x) = |x| by subtracting 9 from the argument of the absolute value function. This has the effect of shifting the graph of f(x) to the right by 9 units.
Therefore, the correct answer is B: It translates the graph 9 units to the right.
In a class activity all the 15 students wear hats. seven students wear red hats six students wear green hats two students wear white hats. two of the 15 students are picked at random show that the probability that these two students wear hats of the same color is 37/105
Answers
Answer:
Step-by-step explanation:
To find the probability that two students picked at random will wear hats of the same color, we can divide the number of successful outcomes by the total number of possible outcomes.
There are a total of 15 students, and we are picking two of them at random, so there are a total of 15 * 14 = 210 possible pairs of students.
There are 7 students wearing red hats, so there are 7 * 6 = 42 pairs of students who are both wearing red hats.
There are 6 students wearing green hats, so there are 6 * 5 = 30 pairs of students who are both wearing green hats.
There are 2 students wearing white hats, so there are 2 * 1 = 2 pairs of students who are both wearing white hats.
Altogether, there are 42 + 30 + 2 = 74 successful outcomes (pairs of students who are wearing hats of the same color).
The probability that two students picked at random will wear hats of the same color is therefore 74/210 = 37/105.
Information for Questions 5-7: The Annual Survey of Colleges in the U.S. also reports on the average amount of student loan debt by state. The most recent data by state showed an approximately normal shape with a minimum average amount of
$19,000
and a maximum average amount of
$38,000
. Use the minimum and maximum value and the normal shape to estimate the mean and standard deviation of the data for the 50 states. (Mean and standard deviation have been rounded to the nearest
$100
.) a. mean
=$25,000;
standard deviation
=$3,500
b. mean
=$26,800;
standard deviation
=$2,100
c. mean
=$26,800;
standard deviation
=$3,700
d. mean
=$28.500;
standard deviation
=$1,800
e. mean
=$28,500;
standard deviation
=$3,200
A federal study of student loan debt plans to focus on those states with the highest amounts of student loan debt. The study plans on targeting those states that fall in the top
2.5%
in terms of average student loan amounts. What is the cutoff point that would place a state in the top
2.5%
based on student loan debt? (Use the mean and standard deviation estimates from Question #5.) a.
$38,100
b.
$34,900
c.
$31,700
d.
$32,500
e.
$22,100
Answers
The correct answer is $34900.
X : Average amount of loan of student debt by state .
X = N ( μ = $28500 , σ² = ( 3200 )² )
To find : What is the cutoff point that would place a state in top 2.5%
Let it be X
P( X > x ) = 0.025
P(X-μ/σ > X - 28500/3200) = 0.025
P(z >Z ) = 0.025
1 - P(z<Z ) = 0.025
P(z<Z ) = 0.975
φ(z) = 0.975
Z = φ⁻¹(0.975)
X - 28500/3200 = 1.96
X = 34772
i.e; P(X > 34772) = 0.025
Since, it is nearly equal to $34900 option b is correct.
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write the square root function stretched by 2 then shifted so that its turning point is located at (3,-5)
Answers
Answer:
the square root function stretched by 2 and shifted so that its turning point is located at (3,-5) is h(x) = 2 * sqrt(x + 3) - 5.
Step-by-step explanation:
Use a scatterplot and the linear correlation coefficient rr to determine whether there is a correlation between the two variables. (Note: Use software, and don't forget to look at the scatterplot!)
x| 0.8 1.6 2.7 3.3 4.2 5.8 6.5 7 8.9 9.3 10.8 11.3 12.4 13.7 14.9
y| 3.8 1.9 12.6 9.4 8.2 7.1 4.1 0.1 11.9 13.3 14.1 8.5 9.6 7.4 14.1
r=
Answers
For given data the scatterplot is shown below and the linear correlation coefficient is r = 0.4693
In this question we have been given a data.
We need to use a scatterplot and the linear correlation coefficient r to determine whether there is a correlation between the two variables.
Given data is:
x| 0.8 1.6 2.7 3.3 4.2 5.8 6.5 7 8.9 9.3 10.8 11.3 12.4 13.7 14.9
y| 3.8 1.9 12.6 9.4 8.2 7.1 4.1 0.1 11.9 13.3 14.1 8.5 9.6 7.4 14.1
The scatter plot for given data is as shown below.
An equation of the line of best fit is: y = 0.4623x + 4.9176
And the coefficient of correlation is:
r = √0.2202
r = 0.4693
Therefore, the scatterplot of given data is shown below.
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The coordinates of C are ( 4 , 4 ) , and the midpoint of CD ¯ is at M ( - 2 , - 6 ) . What are the coordinates of point D
Answers
Answer:
D (-8, -16)
Step-by-step explanation:
(4+x)/2 = -2
4+ x = -2 · 2
4 + x = -4
x = -4 - 4
x = -8
(4 + y)/2 = -6
4 + y = -6 · 2
4 + y = -12
y = -12 - 4
y = -16
which of the following are true statements about the 30 60 90 triangle
Answers
In the 30, 60, and 90 triangles at least one of its angle will be an acute angle.
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I’ve been struggling on this question please help ASAP <333
Answers
Solution
29
Can I get Brainly pls
using the empirical rule, approximate the percentage of newborn pigs that weight between 3.75 and 4 lbs.
Answers
Answer:
Answer: 0.4419
Step-by-step explanation:
Given: The birth weights of full-term newborn infants in the U.S. have an approximately normal distribution with a mean weight of 6.8 lbs and a standard deviation of 1.7.
i.e.
Let X denotes the birth weight.
Then, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is given by :-
Hence, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is 0.4419 .
Step-by-step explanation:
Select the table that represents a liner function. (Use graph if necessary)
Answers
The table that represents a linear equation is the first one, and the line is:
y = 5x + 5
Which table represents a linear function?
To check which table represents a linear function, you need to identify the increases in x, and check that al the increases/decreases in y are constant.
For example, if you look at the last table:
x = 0, 1, 2, 3
y = 1, 2, 4, 8
First x goes from 0 to 1, so 1 unit increase.
y goes from 1 to 2, 1 unit increase.
Then x goes from 1 to 2, 1 unit increase.
y goes from 2 to 4, 2 units increase.
The increase is not constant, thus it is not a linear equation.
The tables 2 and 3 can be discarded because have both increases/decreases.
Table 1 is the one that represents a linear equation:
x: 0, 1, 2, 3
y: 5, 10, 15, 20
Where the increases in y are always of 5 units, and the linear equation is:
y = 5*x + 5
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Consider the drawing and information below. The drawing is NOT to scale.
1.What is m < 2 show work and calculations.
2. What is m < 4 show your work and calculations.
Answers
Answer:
m∠2 = 110°
m∠4 = 110°
Step-by-step explanation:
Corresponding Angles Postulate
When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.
Vertical Angles Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
Transitive Property of Equality
If any angles are congruent to the same angle, then they are congruent to each other.
--------------------------------------------------------------------------------------
As line p is parallel to line q, according to the Corresponding Angles Postulate:
⇒ m∠2 = m∠10
According to the Vertical Angles Theorem:
⇒ m∠10 = m∠13
According to the Transitive Property of Equality:
⇒ m∠2 = m∠13
Therefore:
⇒ 8x + 14 = 10x - 10
⇒ 8x + 14 - 8x = 10x - 10 - 8x
⇒ 14 = 2x - 10
⇒ 14 + 10 = 2x - 10 + 10
⇒ 24 = 2x
⇒ 2x = 24
⇒ 2x ÷ 2 = 24 ÷ 2
⇒ x = 12
Substitute the found value of x into the expression for the measure of angle 2:
⇒ m∠2 = 8(12) + 14
⇒ m∠2 = 96 + 14
⇒ m∠2 = 110°
--------------------------------------------------------------------------------------
As line p is parallel to line q, according to the Corresponding Angles Postulate:
⇒ m∠12 = m∠4
⇒ 15y + 5 = 13y + 19
⇒ 15y + 5 - 13y = 13y + 19 - 13y
⇒ 2y + 5 = 19
⇒ 2y + 5 - 5 = 19 - 5
⇒ 2y = 14
⇒ 2y ÷ 2 = 14 ÷ 2
⇒ y = 7
Substitute the found value of y into the expression for the measure of angle 4:
⇒ m∠4 = 13(7) + 19
⇒ m∠4 = 91 + 19
⇒ m∠4 = 110°
Evaluate the function when x = 3, x = 0, and x = -4. (Lesson 4.8)
14. f(x) = -4x + 3
12. h(x) = − 8x
13. g(x) = 5x - 9
16. h(x) = 1.4x
15. g(x)=-3x - 12
17. f(x) = 1/4x
12-17 please
Answers
Need answers for all parts.
Answers
(a) The balance be at the end of the year is $502.53.
(b) The Effective annual interest rate is 0.5%.
(c) The Effective annual interest rate must be less than 6%.
What is effective annual interest rate?
The percentage of interest on a loan or financial product that would apply if compound interest built up over a year without any payments would be called the effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate.
Given:
P = $500, n = 12, r = 0.5% = 0.005, t = 1
So, the balance be at the end of year is,
[tex]A = P(1+\frac{r}{n})^n^t \\A = 500(1+\frac{0.005}{12})^1^2^*^1 \\A = 500(1.00042)^1^2\\A = 502.53[/tex]
Now to find the effective annual interest rate,
Effective annual interest rate = [tex]= (1+\frac{r}{n})^n-1 = (1+\frac{0.005}{12})^1^2 - 1= 0.005[/tex]
Effective annual interest rate = 0.5%
So, the Effective annual interest rate must be less than 6%.
Hence,
(a) The balance be at the end of the year is $502.53.
(b) The Effective annual interest rate is 0.5%.
(c) The Effective annual interest rate must be less than 6%.
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I’m confused on this question
Answers
Answer: 3 of the squares should go down then 8 to the right.
Step-by-step explanation:
it just wants you to say how it was translated so take the corresponding points like p and p’ then count of many tiles it move to the right and then down to get from p to p’ you’ll see that it’s 8 right and 3 down.
hope this helps!
Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x) = (4 - x)x^-3 for x > 0. (a) Find the t-coordinate of the critical point of f. Determine whether the point is a relative maximum, a relative minimum, or neither for the function f. Justify your answer. (b) Find all intervals on which the graph of f is concave down. Justify your answer. (c) Given that f(1) = 2, determine the function f.
Answers
x=4 is the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.
Given that,
Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x) = (4 - x)/x³ for x > 0
We have to find
(a)Discover the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.
We know that,
f'(x) = 4-x/x³ = 4/x³ - 1/x²
Critical point f'(x)=0
4-x/x³=0⇒x=4
Therefore, x=4 is the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.
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if the correlation coefficient r is equal to 0.726, find the coefficient of determination and the coefficient of nondetermination.
Answers
Coefficient of determination ([tex]r^{2}[/tex]) = 0.527 and Coefficient of non-determination ( [tex]1-r^{2}[/tex]) = 0.473
The coefficient of correlation is the “R” value which is given in the summary table in the Regression output. R square is also called the coefficient of determination. To find the value of R squared, multiply R by R. In other words, the square of the correlation coefficient is the coefficient of determination. The coefficient of determination is a statistical measurement that examines how differences in one variable can be explained by the difference in a second variable when predicting the outcome of a given event.
The Coefficient of Non-Determination explains the amount of unexplained, or unaccounted-for, variance between two variables, or between a set of variables (predictors) in an outcome variable.
Given,
r = 0.726
Coefficient of determination ([tex]r^{2}[/tex]) = 0.527
Coefficient of non-determination ( [tex]1-r^{2}[/tex]) = 0.473
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check the screenshot
Answers
Answer:
a = 1
h = 4
k = -4
Step-by-step explanation:
If repeated samples of yogurt sales were taken, according to the Central Limit Theorem, the mean of those repeated samples would tend to be normally distributed if the sample size is large enough.
Because the sample population is ________, it is safe to apply the Central Limit Theorem, even if the sample size for each sample is 15.
a.)negatively distributed
b.)positively distributed
c.)normally distributed
Answers
Because the sample population is normally distributed, it is safe to apply the Central Limit Theorem, even if the sample size for each sample is 15.
(this means that option c is correct).
What is defined by the Central Limit Theorem?The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], with mean and standard error given as follows:
Mean: [tex]\mu[/tex]Standard error: [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]The Central Limit Theorem can be applied when at least one of these two conditions is true.
Underlying population has a normal distribution.The sample size is greater than 30.In this problem, the sample size is of 15, which is less than 30, meaning that the Central Limit Theorem can be applied only because the underlying population is normally distributed, meaning that option c is correct.
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To find the slope of a curve at a given point, we simply differentiate the equation of the curve and find the first derivative of the curve, i.e., dy/dx.
Answers
To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result
The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line
To find the slope of the curve at a given point
First differentiate the given equation of the curve with respect to x
That is dy / dx.
The derivative of the equation of the curve is the slope of the curve.
In next step substitute the value of x in the slope of the curve
The result will be the slope of the curve at a given point
Therefore, these are the steps to find the slope of the curve
I have answered the question in general, as the given question is incomplete
The complete question is:
How to find the slope of a curve at a given point?
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9
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Bonnie withdrew $1,200 from her savings account. She spent of the money on travel arrangements. She spent of the remaining amount at the
hardware store. Finally, she treated her friend to lunch with some of the remaining money. After lunch, Bonnie had $300.50 left. How much money did
Bonnie spend on lunch?
Bonnie spent $
on lunch.
Reset
Next
Answers
According to the given information $19.50 money did Bonnie spend on lunch.
What sort of equation would that be?The description of an equations in algebra is a quantitative expression that demonstrates the equality of two mathematical expressions. Thus instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which have been separated by the 'equal' sign.
Briefing:The amount withdrew by Bonnie is $1200.
1/5 of the money withdrawn is used for travel arrangements.
the hardware shop for 2/3 of the remaining sum.
After lunch Bonnie had left with 300.50.
spent 1/5 on travel : 1/5(1200) = 1200/5 = 240
1200 - 240 = 960
she spent 2/3 on the hardware : 2/3(960) = 1920/3 = 640
960 - 640 = 320
320 - lunch = 300.50
320 - 300.50 = lunch
19.50 = lunch
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The strip below is divided into 10 equal parts.
Fill in the missing fractions and percentages.
Note that your fractions don't need to be in simplest form.
Answers
We can fill in the remaining fractions and percentages.
as
0 4/10 7/10 9/10 1
|-------|-------|-------|-------|-------|-------|-------|-------|-------|---------|
0% 10% 40% 90% 100%
What is a number line?
A number line is a straight line that is used to represent real numbers. The numbers are usually represented as points on the line, and the distance between the points corresponds to the magnitude of the numbers. The numbers can be positive or negative and are typically marked at regular intervals.
The missing parts are
0 4/10 7/10 9/10 1
|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|
0% 10% 40% 90% 100%
This is how we can fill in the remaining fractions and percentages.
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geometry midterm coming up and i need help on similar figures.
Answers
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.
By Pythagoras' theorem,
(20)²+(48)²=x²
400+2304=x²
2704=x²
x=52
As we know, area of a triangle = 1/2 × b×h
480= 1/2× 52 ×h
h=2×480/52
h= 18.46 = BD
What is geometry?
Geometry with arithmetic is one of the oldest branches of mathematics. It deals with spatial properties such as distance, shape, size, and relative position of shapes. Mathematicians working in the field of geometry are called geometers.
Until the 19th century, geometry was mostly devoted to Euclidean geometry, which included the concepts of point, line, plane, distance, angle, area, and curve as basic concepts.
In the 19th century, several discoveries dramatically expanded the scope of geometry. One of the oldest discoveries of this kind is Carl Friedrich Gauss's Theorem Egregium ("Remarkable Theorem"), which loosely asserts that the Gaussian curvature of a surface is independent of any particular embedding in Euclidean space. I'm here. This meant that surfaces could be studied intrinsically, i.e., as spaces themselves, and extended to manifold theory and Riemannian geometry.
Therefore, A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.
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In the United States about 7% of the male population and about 0.4% of the female population is red-green color blind ( that is they cannot distinguish red from green, or see red and green differently from how others do). The population in the United States consist of about 49% males and 51% females. A person is randomly selected.
Let M be the event that the person is male, let F be the event that the person is female, let CB be the event that the person is red-green color blind, and let NC be the event that the person is not red-green color blind
A. Find P(CB \mid M)
B. Find P(CB \cap M)
C. Find P(CB)
Find P(M \mid CB)
Answers
Ans (A) P(CB/M) is 0.07
Ans (B) P(CB ∩ M) is 0.0343
Ans (C) P(CB) is 0.03634
Ans (D) P(M/CB) is 0.94386
Let the population be 100.
Therefore,
No. of males (M) = 49
No. of females (F) = 51
No. of colourblind males =
[tex]\frac{7}{100} * 49 = \frac{343}{100} = 3.43[/tex]
No. of colourblind females =
[tex]\frac{0.4}{51} * 100 = 0.204[/tex]
Total colourblind people (CB) = 3.43 + 0.204 = 3.634
Ans (A)
P(CB/M) = P(CB ∩ M)/P(M) = 3.43/49 = 0.07
Ans (B)
P (CB ∩ M) = 3.43/100 = 0.0343
Ans (C)
P(CB) = 3.634/100 = 0.03634
Ans (D)
P (M/CB) = P(M ∩ CB)/P(CB) = 3.43/3.634 = 0.94386
These are the answers.
To learn more about conditional probability,
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george wanted to start his own painting business. He bought a ladder and some supplies for $180. he plans on charging $10 per hour painting. how many hours will george have to work if he to make at least a profit of $750?
Answers
Step-by-step explanation:
George wanted to start his own painting business. He bought a ladder and some supplies for $180. he plans on charging $10 per hour painting. how many hours will George have to work if he to make at least a profit of $750?
profit = $10 per h hours - startup costs
750 = 10h - 180
add 180 to both sides:
750 + 180 = 10h - 180 + 180
930 = 10h
divide both sides by 10:
930/10 = 10h/10
h = 93
George will need to work 93 hours to make a profit of $730.
Your family ate a delicious meal at Jimmies of Savin Rock. The meal itself cost $147.25, you want to leave 20% tip and there was 7.35% tax added
Answers
Answer:
27.29 honestly this is a wild guess
Step-by-step explanation:
7.35% of 147.25 = 10.82
147.25-10.82=136.43
20% of 136.43 = 27.286(27.29)
