(a) i aint drawing a tree but basically, if left means a boy is born and right means a girl is born, the far left result (both boys) will happen with probability [tex](0.52)^2[/tex], the two middle results (one boy and one girl) will both happen with probablility [tex]0.48 \cdot 0.52[/tex], and the far right result (both girls) will happen with probability [tex](0.48)^2[/tex].
(b) binomial distribution table for what...?
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If x+2 is a factor of x^3-6x^2-11x+k then k=
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of k =?Next, we shall obtained the value of x from x + 2. This can be obtained as follow:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2Finally, we shall determine the the value of k. This can be obtained as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Value of k =?f(–2) = 0 since x + 2 is a factor
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10Therefore, the value of k is –10
Learn more: https://brainly.com/question/13587979
Akili has two tests next week. The probability that he will pass the first test, science, is 34 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 45; otherwise, the probability is only 13 that he will pass the math test. If the probability he passes exactly one test can be expressed as mn for two relatively prime positive integers m and n, what is m n
Answer:
Following are solutions to the given question:
Step-by-step explanation:
First-test probability: [tex]\frac{3}{4}[/tex]
A person's chances of passing a second test are reduced if he fails the first test: [tex]\frac{1}{3}[/tex]
However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.
[tex]\to \frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\\\\\to \frac{3}{4} + \frac{1}{12} = \frac{9+1}{12} = \frac{10}{12} = \frac{5}{6}[/tex]
One of the other.
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.
Answer:
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.
[my response: talk to them in formal language about the topic.]
Step-by-step explanation:
Consider the scenario and use complete sentences to answer the question.
Two players each roll an ordinary number cube. The sum is found of the two numbers showing. If the sum is an even number, player A gets 1 point. If the sum is an odd number, player B gets 1 point. The game ends after 6 rounds.
Is this a fair game? Use the possible results of the game to support your answer.
Answer:
yes both chances are 1/2 = equal
Step-by-step explanation:
Find the value of the expression 2ab/c when a = -1, b = -4, and c= 2
Answer:
4
Step-by-step explanation:
Given
[tex]\frac{2ab}{c}[/tex] , substitute the given values into the expression
= [tex]\frac{2(-1)(-4)}{2}[/tex]
= [tex]\frac{2(4)}{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4
Please hurry I will mark you brainliest
It's a hot summer
day and the icecream truck is on it's way. The driver gives you two options:
1) You can have a cone that is doubled in radius but the same height as a regular cone.
OR
2) You can have a cone that is doubled in height but the same radius as a regular cone.
Which would you choose and why?
You can explain it or attach a picture of your work. ( please show it in math form)
Answer:
Option 1: Double the radius
Step-by-step explanation:
The formula for the volume of a cone is:
1/3[tex]\pi[/tex]r^2h
It squares the radius whereas it only multiplies by the height. Let's try both situations.
1. 1/3[tex]\pi[/tex](2)^2(1) --> 4/3
2. 1/3[tex]\pi[/tex](1)^2(2) --> 2/3
Option one is better.
Which equation can be used to find the number of students needed to make 1,500 in profit ?
Answer:
we can use simple equation
Passing through point (4, 9) and perpendicular to the line y= -1/5x -3
Answer:
y = 5x-11
Step-by-step explanation:
The slope intercept form of a line is y =mx+b where m is the slope
y = -1/5 x-3
The slope is -1/5
Lines that are perpendicular have negative reciprocal slopes
-1 /(-1/5)
-1 * -5/1
5
The slope of the line that is perpendicular is 5
y=5x+b
Using the point (4,9)
9 = 5(4)+b
9 = 20+b
9-20 =b
-11
y = 5x-11
Can you answer this math homework? Please!
simplify
(−5abc − 6ac + 7cb) − (10abc + 6ac − 8bc)
Answer:
-15abc - 12ac + 15bc
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(-5abc - 6ac + 7cb) - (10abc + 6ac - 8bc)
Step 2: Simplify
[Distributive Property] Distribute negative: -5abc - 6ac + 7cb - 10abc - 6ac + 8bcCombine like terms: -15abc - 12ac + 15bcWhat did they ask on FLVS alegebra 1 honors moduel 7 dba
Answer:
its easy dont worry
Step-by-step explanation:
Evaluate the function.
f(x) = 4x² + 73 – 18
Find f(-9)
Answer:
379
Step-by-step explanation:
4(-9)²+73-18
4(81)+55
324+55
379
im doing a exam please help me fast
Seven guests are arriving for dinner. How many possible orders can they arrive in?
5,040!
7!
5!
49!
Answer:
7!
Hope it is helpful
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Answer:
120 kg in morning and 240 kg in afternoon
Step-by-step explanation:
x+2x=360 kg
Work:
x + 2x = 360 kg
3x = 360 kg
3x/3 = 360 kg/3
x = 120
2x=2(120 kg) =240 kg
Final Answer:
So, 120 kg in morning and 240 kg in the afternoon.
Hope this helps!
I don't have time to do this before my class, could someone help? Thanks so much
Answer:
AD=27
Step-by-step explanation:
If f(x) = -x2 – 1, and
g(x) = x + 5, then
f(g(x)) = [ ? ]x2+[? ]x+[?]
Answer:
-x^2-10x-26
Step-by-step explanation:
f(x) = -x^2 – 1, and
g(x) = x + 5
f(g(x)) = Plug g(x) in for x in f(x)
= -(x+5)^2 -1
= -(x^2 +10x+25) -1
= -x^2 -10x-25 -1
=-x^2-10x-26
please help with this too
Answer:
The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is approximately 125.66 square units
Step-by-step explanation:
The given parameters are;
The radius of the circle with center G, r = 15
The measure of the given angle, m∠AGB = 64°
The area of a sector is given as follows;
Area of a sector of a circle = (θ/360°) × π × r²
Therefore;
The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is given as follows;
The area of the sector in circle G = (64°/360°) × π × 15² ≈ 125.66 square units
25 x square - 4y Square = 36 equation 1
5 x - 2 y=2equation 2
It is hard to find out question cn u pls take a pic and upload so it will more easier to find out the question
simplify.
[(1+5)⋅2−5]⋅2
Answer:
14
Step-by-step explanation:
[(1+5)⋅2−5]⋅2
[(6)⋅2−5]⋅2
[12−5]⋅2
[7]⋅2
14
Step-by-step explanation:
[6.2-5].2
[12-5].2
7.2
14 answer
What is the area of this trapezoid?
Answer:
18 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2)h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 5 + (6+1)) * 3
A = 1/2 ( 5+7)*3
= 1/2 (12)3
= 18
Answer:
B
Step-by-step explanation:
greater base = 6 + 1 = 7 m
Area = [(greater base + minor base) * height] / 2 = [(7+5) * 3]/2 =18 m^2
Choose the correct answer below. A. The proportion of numbers in the population is equal to the mean of the sample proportions. B. The proportion of numbers in the population is equal to the mean of the sample proportions of numbers. C. The proportion of numbers in the population is not equal to the mean of the sample proportions. D. The proportion of numbers in the population is equal to the mean of the sample proportions of numbers.
Answer:
A. The proportion of numbers in the population is equal to the mean of the sample proportions
Step-by-step explanation:
The relationship between the mean [tex]\mu _{\overline p}[/tex], and standard deviation, [tex]\sigma _{\overline p}[/tex], of the sample proportion and the population proportion, p, are given as follows;
[tex]\mu _{\overline p}[/tex] = p
[tex]\sigma _{\overline p} = \sqrt{\dfrac{p \cdot (1 - p)}{n} } \times \sqrt{\dfrac{N - n}{N - 1} }[/tex]
Where;
N = The size of the population
n = The sample size
Therefore, the proportion of numbers in the population is equal to the mean of the sample proportions
PLZZZZ HELPPPP… IF NOT 100% SURE PLZZ DONT ANSWER! BRAINLIEST TO FIRST AND CORRECT ANSWER!
Answer:
7/10
Step-by-step explanation:
½ of a cup of cheddar=½ x 1=½
⅕ of a cup of parmesan=⅕ x 1=⅕
all cheese used=½ + ⅕= 7/10
Anyone knows the answer?
Answer:
a) yes
b) y = -x
c) yes it goes thru the origin (0,0)
Step-by-step explanation:
a) x**2 + y**2 = 17
(-4)**2 + (-1)**2 = 17
16 + 1 = 17 YES
b) the slope of DE is
(y1 - y2)/(x1 - x2)
(-1 -4)/(-4 -1) = -5/-5 = 1, so a perpendicular segment will have a
slope of - 1/current slope or -1.
The midpoint of DE is
x = (x1 + x2)/2 = (-4 +1)/2 = -3/2
y = (y1 + y2)/2 = (-1 +4)/2 = 3/2 so
y = mx + b
y = -x + b plug in the point (-3/2,3/2)
3/2 = -(-3/2) + b
b = 0 SO y = -x
c) The circle equation dictates that it has no offset so centers around the origin (0,0) and the equation of the bisector y = -x indeed fits (0,0).
Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis.
Answer:
See explanation
Step-by-step explanation:
The coordinate of ABCD is not given; So, I will solve using general coordinates (x,y).
First, ABCD is dilated by 1/3.
The rule is:
[tex](x,y) \to \frac{1}{3}(x,y)[/tex]
This gives
[tex](x,y) \to (\frac{x}{3},\frac{y}{3})[/tex]
Next, it is reflected across y-axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex](\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]
So, the complete transformation is:
[tex](x,y) \to (\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]
Assume that:
[tex]A = (1,3)[/tex]
The transformation will be:
[tex]A' = (-\frac{1}{3},\frac{3}{3})[/tex]
[tex]A' = (-\frac{1}{3},1)[/tex]
Write the words that represent s + 21.
Answer:
A number s plus 21
Step-by-step explanation:
s+21
A number s plus 21
and this is right or not
When creating lines of best fit, do you believe that estimation by inspection of the equation is best or do you think it should be determined exactly? In what situations would it be best to use one over the other?
Answer:
Estimation by inspection is better than trying to determine the line of best fit exactly
i) For a scatter plot : The use of estimation by inspection
ii) For a straight line graph : The exact determination method
Step-by-step explanation:
To create lines of best fit the estimation by inspection is better than trying to determine the line of best fit exactly .
This is because line of best fit only shows the trend of the data and in most cases it doesn't have to start from origin.
Scenarios :
i) For a scatter plot : The use of estimation by inspection
ii) For a straight line graph : The exact determination method
Factorize the following by splitting the middle term:-
(a) 3x^2 +11x+30
Answer:
See explanation
Question has been corrected
Step-by-step explanation:
Given:
3x² + 11x + 30
To factorise, multiply the coefficient of x² by 30
= 3 * 30
= 90
Find two numbers that have a product of 90 and a sum of 11
** There are no such two numbers, therefore the question can't be solved using factorization
Correcting the error in the question:
x² + 11x + 30
To factorise, multiply the coefficient of x² by 30
= 1 * 30
= 30
Find two numbers that have a product of 30 and a sum of 11
6 and 5
6 + 5 = 11
6 * 5 = 30
x² + 11x + 30
= x² + 6x + 5x + 30
= x(x + 6) + 5(x + 6)
= (x + 6) (x + 5)
need help with this question plz picture of question added
Answer:
The domain of the function is (-2,&)
Find the 20th term of the following sequence.
-6, -4,-2, O,...
Step-by-step explanation:
An=-6+(20-1)×2
=-6+19(2)
=-6+38
=32