I hope this helps :]
63x2−164x+96
Answer:
63x² - 164x + 96
Step-by-step explanation:
Use the FOIL method:
7x · 9x = 63x²
7x · -8 = -56x
9x · -12 = -108x
-12 · -8 = 96
63x² - 56x - 108x + 96
63x² - 164x + 96
!!!!!!!!PLEASE HELP NOW !!!!!!!!!!!!!!!!!!
What is the following product?
45 47 47.45
4(977)
O AN
74
7
Answer:
7
Step-by-step explanation:
You can convert the fourth square roots to [tex]7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}}[/tex]. Using the product of powers rule, we can add the four terms' exponents, resulting in [tex]7^1[/tex], which is 7.
Diane bought new headphones originally listed for $70.99. They are 25% off. Which equation can be used to find the amount Diane will save?
Step-by-step explanation:
100% = $70.99
there is a discount of 25%.
that means 75% (100 - 25) of the original price remains.
the equation to get any x% amount of a 100% total is simply
x% amount = 100% total amount × x/100
25% = 70.99 × 25/100 = $17.75
Obesity is seen as a growing health problem in many countries, including the United States. To determine whether or not there has been an increase in obesity in men over the past ten years, medical records for 50 randomly sampled men from the year 2000 and for 75 randomly sampled men from the year 2010 were analyzed. Out of the 50 men from 2000, 10 were assigned as obese according to their height and weight while 30 out of the 75 men from 2010 were assigned as obese. Calculate the z-test statistic for this hypothesis test. Round your final answer to 2 decimal places
Answer:
The z-test statistic for this hypothesis test is [tex]z = 4.33[/tex]
Step-by-step explanation:
Proportion in 2000:
10 of the 50 men were obese, so:
[tex]p = \frac{10}{50} = 0.2[/tex]
Test if it has increased:
At the null hypothesis, we test if the prevalence of obesity has not increased, that is, the proportion is of 0.2 or less, so:
[tex]H_0: p \leq 0.2[/tex]
At the alternative hypothesis, we test if this prevalence has increased, that is, the proportion is above 0.2. So
[tex]H_1: p > 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.2 is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2(1-0.2)} = 0.4[/tex]
30 out of the 75 men from 2010 were assigned as obese.
This means that [tex]n = 75, X = \frac{30}{75} = 0.4[/tex]
Value of the z-test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.4 - 0.2}{\frac{0.4}{\sqrt{75}}}[/tex]
[tex]z = 4.33[/tex]
The z-test statistic for this hypothesis test is [tex]z = 4.33[/tex]
PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
TELL ME WHERE TO PUT EACH POINT
Suppose y varies directly as the cube of x, and y = 24 when x = 2. Find y when x = 4.
Answer:
so y = 48 when x = 4
Step-by-step explanation:
if y = 24, x = 2
or, if x = 2, y = 24
so, if x = 1, y = 24/2
so, if x =1, y = 12
then if x = 4, y = 12×4 = 48
The required simplified value of the y at x = 4 is given as y = 192.
Given that,
y varies directly as the cube of x, and y = 24 when x = 2.
To determine y at x = 4.
Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
here,
According to the question,
y ∝ x³
From the above property,
y₁/y₂ = [x₁ / x₂]³
Substitute the value in the equation,
24/y₂ = [2/4]³
y₂ = 64/8 × 24
y₂ = 192
Thus, the required simplified value of the y at x = 4 is given as y = 192.
Learn more about proportionality here: https://brainly.com/question/22620356
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A student writes
2
pages of a report in
2
an hour. What is her unit
rate in pages per hour?
Answer:
1 page of a report per hour
Step-by-step explanation:
2/2= 1 page per hour
Lets find unit rate
[tex]\\ \sf\longmapsto \dfrac{2\dfrac{1}{2}}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{2}\div 2[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]
[tex]\\ \sf\longmapsto 1.2pages/hour[/tex]
Describe the domain and range of the graph
Domain={-5,4}
Range={-3,4}
The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
Answer:
(a) Hence the maximum error in the calculated area of the disk is 32.67[tex]cm^{2}[/tex].
(b) Hence the relative error is 1.54%.
Step-by-step explanation:
Here the given are,
The Radius of the circle r = 26cm.
The maximum error in measurement dr = 0.2 cm.
Answer:
(a) [tex]A =(4245.28\pm32.66) cm^2[/tex]
(b) [tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]
Step-by-step explanation:
radius, r = 26 cm
error = 0.2 cm
(a) The area of the disc is given by
[tex]A = \pi r^2\\\\dA = 2\pi r dr\\\\dA = 2 \times 3.14\times 26\times 0.2= 32.66[/tex]
Now
A = 3.14 x r x r = 3.14 x 26 x 26 = 4245.28 cm^2
So, the area with error is given by
[tex]A =(4245.28\pm32.66) cm^2[/tex]
(b) The relative error is
[tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]
Help plzzz 60 points
Answer:
Neither lines r and s nor lines t and u must be parallel from the information given
Step-by-step explanation:
<2 and <4 are vertical angles so they are always equal
<5 and <7 are vertical angles so they are always equal
We are not given any information to tell if any of the lines are parallel
Neither lines r and s nor lines t and u must be parallel from the information given
I made a comment about this but I mean, free 30 points.
I think the answer is the last one. It only mentions <2 = <4 and <5 = <7. Nowhere does it say <2 =< 5 for example. So it can be any two lines of which don't have to be parallel to each other.
A single die is rolled twice. Find found the probability of rolling an odd number and a number greater than four in either order
Answer:
3/6 for the probability of getting and odd number and 2/6 for rolling higher than the number 4
Step-by-step explanation:
Answer:
6/36 or 1/6 chance.
Step-by-step explanation:
dice roll one has the same numerator as dice roll two
As it acts the same as replaced from a marble bag.
Therefore, we show;
odd numbers on a die = 1, 3,5 = 3
= 3/6 = 1/2
and we show;
numbers higher than 4 = 5, 6 = 2
= 2/6 = 1/3
3/6 x 2/6 = 6/36 = 1/6
The reasons why its so low is that for one dice is is 1/3 chance and for the other dice it is 1/2 chance but to get them in order it reduces again by 2/3 the opposite and by 1/2 the opposite for apposing such result.
What are the x-intercepts of this quadratic function?
g(x) = -2(x - 4)(x + 1)
Answer:
4 and -1
Step-by-step explanation:
A quadratic function is given to us and we need to find the x Intercepts of the given function . The function is ,
[tex]\bf \implies g(x) = -2( x -4)(x+1)[/tex]
Step 1 : Equate the function with 0,
[tex]\bf \implies -2( x -4)(x+1) = 0 [/tex]
Step 2: Equating with 0 :-
Now equate each factors seperately with 0 , to get the x Intercepts.
Step 3: Finding the intercepts :-
[tex]\bf \implies x - 4 = 0 \\\\\implies\boxed{\bf\blue{ x = 4 }} [/tex]
Again ,
[tex]\bf \implies x + 1 = 0 \\\\\implies\boxed{ \blue{\bf x = -1}} [/tex]
Hence the x intercepts are 4 and -1 .
Answer:D (4,0) and (-1,0)
Step-by-step explanation:
Quadrilateral A'B'C'D' is a reflection of Quadrilateral ABCD over the y-axis What is the length of C'D'
Answer:
C'D' = 4
Step-by-step explanation:
When the figure is reflected, the length of the segments does not change.
CD = 4 so C'D' = 4
Answer:
4 units
Step-by-step explanation:
a reflection is a rigid transformation, meaning that the size and shape of the figure does not change. therefore, the length of C'D' will be the same as the length of CD.
Length of CD: 4 units
so,
C'D'=4units
Now suppose that not every player can play in every position. The outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch. Suppose a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers.
How many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled?
Answer:
The team can assign field positions to 9 of the 19 players in 181,440 different ways.
Step-by-step explanation:
Since the outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch, supposing a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers, to determine how many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled, the following calculation must be performed:
3 x 7 x 6 x 5 x 4 x 3 x 4 x 3 x 2 = X
21 x 30 x 12 x 24 = X
630 x 12 x 24 = X
181,440 = X
Therefore, the team can assign field positions to 9 of the 19 players in 181,440 different ways.
there are 10 crates of eggs stacked in the corner. each crate of eggs holds 20 eggs. If there is only 1 broken egg in the entire stack of crates, what percent of the crates have broken eggs in them?
Answer: 5%
Step-by-step explanation: If there is one broken egg in each crate (1/20), you would change that to5%
And if there are ten crates, then you see how many eggs there a re total.
(10 × 20 = 200)
If there are 200 eggs and for every 20 eggs there is on broken one, then there will be 10 broken eggs total. or 10/200
convert the fraction to a decimal ( 10 ÷ 200 = .05)
then convert the decimal to a percent. .05 is equal to 5%
PLEAZE RATE BRAINLIEST!!!
how to work this problem 736.5 x .78
Help please :c
What is the probability that a randomly selected student from your group is a 9th grader?
What is the probability that a randomly selected student from your group prefers comedy?
What is the probability that a randomly selected student does not prefer action?
What is the probability that a student prefers comedy, given that the student is in the 10th grade?
What is the probability that a student does not prefer action, given that the student is in 9th grade?
Answer:
1/4
3/8
5/8
2/5
Step-by-step explanation:
From the table :
1.)
P(9th grade) = (9th grade total / total) = 4 / 16 = 1/4
2.)
P(comedy) = (comedy total / total) = 6 / 16 = 3/8
3.)
P(not action) = 1 - P(action) = 1 - (action total / total) = (1 - 6/16) = 1 - 3/8 = 5/8
4.)
P(comefy | 10th grade) = P(comedy n 10th grade) / P(10th grade) = 2 / 5
Answer:
The answer is 12
Step-by-step explanation:
please answer all the questions and get 15 pts
Answer:
Here you go
Ans is in pictures.
The jury pool for the upcoming murder trial of a celebrity actor contains the names of 100,000 individuals in the population who may be called for jury duty. The proportion of the available jurors on the population list who are Hispanic is .40. A jury of size 12 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury.
a. What is the expected number of hispanic jurors being on the jury?
b. What is the expected value (or theoretical mean) of a great earthquake off the coast of Oregon in two years?
c. Use the poisson distribution to appropriate the probability that there will be at least one major earthquake in the next two years.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Have a Spanish Jury possibility[tex]= 0.40[/tex]
Jury member No. to be chosen[tex]= n= 12[/tex]
Hispanic Juror Expected [tex]= np = 12\times 0.40 = 4.8[/tex]
The jury group will be constituted by Hispanic Jurors [tex]4.8[/tex]
OR
The binomial distribution defines the behavior of a count variable X, provided:
There are a set number of data points n.
Set [tex]n=12[/tex]
Each perception is independent. This will not affect others if your first juror is selected
One of two results is that each observation ("success" or "failure"). English or not
Each result has the same chance of "success" p. for every [tex]p=0.40[/tex]
Well by the binomial distribution. Mean[tex]=E(x)=np=4.8[/tex]
3/4 divided by 1/2
multiple choices
2/3
1 1/4
1 1/2
3
please hurry and choose between those
Answer:
Step-by-step explanation:
Which exponential equation is equivalent to this logarithmic equation?
log, I - log, 25 = 7
OA. 59 = x
OB. 75 = x
Oc. 55 = x
OD. 70 =X
Answer:
Step-by-step explanation:
i assume that you mean
log X (25) = 7
which would be:
x power by 7 = 25, but it is wrong, so more clear questions please
The exponential equation is equivalent to this logarithmic equation is 5^9 = x, the correct option is A.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
I - log, 25 = 7
Now,
To convert a logarithmic equation to an exponential equation, we can use the following property:
[tex]log_b(x)[/tex] = y if and only if b^y = x
where b is the base of the logarithm, x is the argument of the logarithm, and y is the value of the logarithm. In this case, the base of both logarithms is 5, so we can apply this property to both sides of the equation. We get:
[tex]log_5(x) - log_5(25) = 75^(log_5(x) - log_5(25)) = 5^7[/tex]
Using another property of logarithms, we can rewrite the left-hand side as:
[tex]5^(log_5(x/25)) = 5^7[/tex]
Using the property of exponents and logarithms again, we can simplify the left-hand side as:
x/25 = 5^7
Multiplying both sides by 25, we get:
x = 25 * 5^7
x = 25 * 78125
x = 1953125
Therefore, by the given equation the answer will be 5^9 = x.
Learn more about equations here;
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If angle ACB is congruent, and angle BAC=3x-10, angle ECD=45 and angle EDC=2x+10 what is x?
Answer:
x=20
Step-by-step explanation:
Since BAC and EDC are the same (ACB and DCE are congruent), 2x+10=3x-10, x=20
What is the value of log2 18 rounded to the nearest hundredth?
Answer: 4,170
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} log_2 18=log_2 \ 2+log_2 \ 9=1+3,16\underline99 \approax \approx4,170[/tex]
A rectangular dance floor has a width of 12 meters and a length of 16 meters. What is the length of a diagonal of the dance floor? moters
Answer:
20
Step-by-step explanation:
The diagonal of a rectangle can be found using the formula:
[tex]\sqrt{(l^2 + w^2)}[/tex]
Find x please step by step explanation need it
Answer:
37.3
Step-by-step explanation:
19tan(63) = x = 37.289... = 37.3
Will give brainliest answer
Answer:
Step-by-step explanation:
Plz help me find sides M and N round to the nearest tenth
Answer:
44
Step-by-step explanation:
gradpoint
14 ft
3 ft
6 ft
O 873#
1313
252ft
0 262
52.31
Answer:
262.5
Step-by-step explanation:
V = l x b x h
=14x25/4x3
=262.5
Someone please help me with this question
Step-by-step explanation:
cos=ROQ
Sin=QOP
HOPE THIS HELP
What is the vertex of the graph of y = 2(x + 5)2 - 2?
Answer:
The vertex is (-5, -2)
Step-by-step explanation:
y = 2(x + 5)^2 - 2
The vertex form of a parabola is
y =a(x-h)^2 +k where (h,k) is the vertex
y = 2(x - -5)^2 - 2
The vertex is (-5, -2)
Due to yet another road construction project in her city, Sarah must take a detour to get from work to her house. Not convinced the detour is the shortest route, Sarah decided to perform an experiment. On each trip, she flips a coin to decide which way to go; if the coin flip is heads, she takes the detour and if it's tails, she takes her alternative route. For each trip, she records the time it takes to drive from work to her house in minutes. She repeats this procedure 13 times. Sarah wants to know if the mean driving time for the alternative route is different from the mean driving time for the detour. Based on the p-value there was moderate evidence against the null hypothesis.
Select the appropriate statement for this hypothesis test.
a. There is little to no evidence to conclude the mean driving time for the alternative route is the same as the mean driving time of the detour.
b. There is little to no evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.
c. There is moderate evidence to conclude the mean driving time for the alternative route is the same as the mean driving time of the detour.
d. There is moderate evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.
Answer:
b). There is little to no evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.
Step-by-step explanation:
The most adequate statement to examine the proposition is that 'there is lack of adequate evidence to substantiate the claim that the mean time taken for driving through the detour and the alternative route is distinct.' This will help in testing that there is a lack of evidence to establish the validity or truth of the proposition that if the detour is actually shorter than the alternative route or not. No data has been provided to clarify that the mean driving time in both routes traveled by Sarah was varied. Hence, option b is the correct answer.
