Use the GCF and the distributive property to find the expression that is
equivalent to 36 + 60.
18 (2+4)
3(12 + 20)
6(6+10)
12 (3+5)
​

Answer:

(-3,0) (0,3) (1,4)

Step-by-step explanation:

Answer:

the two you selected and the last choice

(-3, 0)

(0, 3)

(1, 4)

Step-by-step explanation:

Answer:

The p-value of the test is 0.0512.

Step-by-step explanation:

The p-value of a test is well-defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.

In this case the output of the t-test_ind method from scipy module is provided as follows:

Output = (-1.99, 0.0512)

The first value within the parentheses is the test statistic value.

So the test statistic value is, -1.99.

And the second value within the parentheses is the p-value of the test.

So the p-value of the test is 0.0512.

Answer:

8.15% probability your hand contains exactly 3 hearts

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the cards are chosen is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

What is the probability your hand contains exactly 3 hearts (out of 5 cards)?

We have 52 cards in total.

13 are clubs, 13 are spades, 13 are hearts, 13 are diamonds.

Desired outcomes:

3 hearts, from a set of 13.

Other 2 cards, from a set of 52-13 = 39.

So

[tex]D = C_{13,3}*C_{39,2} = \frac{13!}{3!(13-3)!}*\frac{39!}{2!(39-2)!} = 211926[/tex]

Total outcomes:

5 cards, from a set of 52. So

[tex]T = C_{52,5} = \frac{52!}{5!47!} = 2598960[/tex]

Probabilities:

[tex]p = \frac{D}{T} = \frac{211926}{2598960} = 0.0815[/tex]

8.15% probability your hand contains exactly 3 hearts

Answer: 1.1

Step-by-step explanation:

If Sam buys 14 water bottles, he will have spent 18.9, so when you subtract 20 (the limit) from 18.9 (how much money he'll spend on the water bottles) you get 1.1

Answer:

About 10 i think

Step-by-step explanation:

idk

Answer:

[tex]P(-2.05<X<-1.49)=P(\frac{-2.05-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{-1.49-\mu}{\sigma})=P(\frac{-2.05-0}{1}<Z<\frac{-1.49-0}{1})=P(-2.05<z<-1.49)[/tex]

And we can find this probability with this difference

[tex]P(-2.05<z<-1.49)=P(z<-1.49)-P(z<-2.05)=0.068- 0.0202= 0.0478[/tex]

And we can see the figure in the plot attached.

Step-by-step explanation:

Let X the random variable that represent the redings on thermometers of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(0,1)[/tex]  

Where [tex]\mu=0[/tex] and [tex]\sigma=1[/tex]

We are interested on this probability

[tex]P(-2.05<X<-1.49)[/tex]

We can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using this formula we got:

[tex]P(-2.05<X<-1.49)=P(\frac{-2.05-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{-1.49-\mu}{\sigma})=P(\frac{-2.05-0}{1}<Z<\frac{-1.49-0}{1})=P(-2.05<z<-1.49)[/tex]

And we can find this probability with this difference

[tex]P(-2.05<z<-1.49)=P(z<-1.49)-P(z<-2.05)=0.068- 0.0202= 0.0478[/tex]

And we can see the figure in the plot attached.

Answer:

21829787.23 joules

Step-by-step explanation:

The recycling will require 6%energy if initial energy, let's say x.

94% of x will be used to power a 100W TV for 3 hours

X = (100*3*60*60)/0.94

X = 1148936.17 joules.

To make 19 aluminum cans ,

It will take 1148936.17*19

= 21829787.23 joules

Answer:

Y=-4/5x+3/5y

Step-by-step explanation: first get the gradient

3--1/-3-2

=4/-5

y-3/x+3=4/-5

-5y+15=4x+12

-5y=4x-3

y=4/-5x+3/5

Answer:

  1a) 210

  1b) 0.18

  2) 17.7 will fit (> 17)

  3) 515 cm^2

Step-by-step explanation:

1a) The sample of 25 is exactly 1/30 of the population of 750, so the number of orange cakes in the population will be 30 times the number in the sample.

The total number of orange cakes made on Monday is 30·7 = 210.

__

1b) The lowest number that will round to 5 is 4.5. The lowest probability that a cake is an orange cake is ...

  4.5/25 = 18/100 = 0.18

The lower bound on the probability that the cake is orange is 0.18.

____

2) The working shown is partly correct.

The possible error in the box dimension is 1/2 cm, so the box may be as short as 28 -1/2 cm = 27.5 cm.

The possible error in the disc case dimension is 1/2 mm = 0.05 cm, so the case may be as thick as 1.5 +.05 = 1.55 cm.

The minimum number discs that will fit in the case is (27.5 cm)/(1.55 cm) = 17.7. Thus, 17 cases will definitely fit in the box.

____

3) The shaded area will be the largest when the outside rectangle is the largest and the inside rectangle is the smallest. Errors in dimensions can be as much as 1/2 cm, so the Outside rectangle can be 42.5 cm by 21.5 cm. The inside rectangle can be as small as 27.5 cm by 14.5 cm.

Then the shaded area can be as large as ...

  (42.5)(21.5) -(27.5)(14.5) = 515 . . . . cm^2

Answer: after 6 mins, sam is 60 meters from the dock

Step-by-step explanation:

Answer:

after 6 mins, sam is 60 meters from the dock

Step-by-step explanation:

Answer:

B) x < 22.5; Sam has fewer than 22.5 minutes left to finish running.

Step-by-step explanation:

For this case we have the following inequality:

From here, we define the variable x.

x: number of minutes remaining to finish the race.

From here, we clear the value of x.

We have then:

 Therefore, Samuel has less than 22.5 minutes to finish the race in the estimated time.

Answer:

x < 22.5; Sam has fewer than 22.5 minutes left to finish running.

x < 22.5; Sam has fewer than 22.5 minutes left to finish running.

For this case we have the following inequality:

From here, we define the variable x.

x = number of minutes remaining to finish the race.

From here, we clear the value of x.

We have then:

Therefore, Samuel has less than 22.5 minutes to finish the race in the estimated time.

The major examples of social inequality include income gap, gender inequality, health care, and social class. In health care, some individuals receive better and more professional care compared to others.

Learn more about inequality here: brainly.com/question/25275758

#SPJ2

Answer:

112m³

Step-by-step explanation:

VOLUME=L × W × H

= 4m × 12m × 3.5m

= 168m³

THE TANK IS FILLED TO 2/3 OF IT'S CAPACITY

= 2/3 × 168

= 112m³.

Answer:

y=-3/2x+12

Step-by-step explanation:

perpendicular lines their gradient multiply to form -1 thus gradient line 1=2/3

gradient line 2= -3/2

equation= y=mx+c where m represents gradient

y-(-6)/x-12=-3/2

y+6/x-12=-3/2

y+6=-3/2(x-12)

y+6=-3/2x+18

y= -3/2x+18-6

y=-3/2x+12

C. 1/5 chance that they boy did not see the movie.

Answer:

C.

Step-by-step explanation:

The answer is c. Probability has a formula it is, what we want/what we don't want. This means that we can use the table to calculate what the probability is that a randomly selected boy didn't see the movie.

1. 4/16

2. 1/4

Hope this helps! (Please consider giving brainliest)

Answer:

4x^3 + 4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x + 1

=> (f.g)(x) = 4x^2*(x + 1) = 4x^3 + 4x^2

Hope this helps!

Question:

Match each term with its notation. Enter the number corresponding to the correct notation in the blank.

______:The number of treatment conditions

______:The number of scores in each treatment

______:The total number of scores in the entire study

______:The sum of the scores for each treatment condition

______:The sum of all of the scores in the research study

______:The F-ratio

1. G

2. k

3. N

4. T

5. n

6. F

Answer:

i) K :The number of treatment conditions

ii) n :The number of scores in each treatment

iii) N :The total number of scores in the entire study

iv) T :The sum of the scores for each treatment condition

v) G :The sum of all of the scores in the research study

vi) F :The F-ratio

Step-by-step explanation:

Here we are dealing with ANOVA notations.

ANOVA which is the short form for Analysis of Variance is a test in staristics used to compare two population samples to check if they are equal.

Here, we have the following ANOVA notations:

G, K, n, T, N, F

Where, G is said to be the sum of scores in the research study.

K is the number of treatment.

n is the number of scores in each treatment

T is the sum of scores for each treatment condition.

N is the total number of scores in whole study

F is the F-ratio.

Matching them with the terms given, we have the following:

i) K :The number of treatment conditions

ii) n :The number of scores in each treatment

iii) N :The total number of scores in the entire study

iv) T :The sum of the scores for each treatment condition

v) G :The sum of all of the scores in the research study

vi) F :The F-ratio

Note the difference between "N" and "n"

Answer:

5x^2 -4

Step-by-step explanation:

f(x)= 4x^2+ 1

g(x) = x^2 - 5

(f+g)(x) = f(x) + g(x)

= 4x^2+ 1 + x^2 - 5

= 4x^2 + x^2 + 1- 5

= 5x^2 -4

Answer:

2.07 is the answer as of e.2020

Step-by-step explanation:

Answer:

The probability that a randomly selected passenger has a waiting time greater than 2.25 minutes is P=0.68.

Step-by-step explanation:

For a uniform distribution, any value within the minimum and maximum value have the same probability. Outside that interval, the probability is 0.

Then, for a uniform distribution within a and b, the probability P(X>c), being z<c<b is:

[tex]P(X>c)=\dfrac{b-c}{b-a}[/tex]

For our case, with a uniform distribution within 0 and 7 minutes, the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes is:

[tex]P(t>2.25)=\dfrac{7-2.25}{7-0}=\dfrac{4.75}{7}=0.68[/tex]

Answer:

72%

Step-by-step explanation:

As the T-shirts have 20% off and Juanita would get an extra 10% off the sale price, the additional discount would be over the price with the 20% off included. This means that the sale price is the 80% of the normal price and an additional 10% over that 80% would be:

80*10%= 8

80%-8%= 72%

This means that Juanita would have to pay the 72% percent of the regular price of the T-shirt as the total discount would be 28% off.

Answer:

Step-by-step explanation:

We say that a function is differentiable if it's derivative exists and it is continous over the domain of the original function. Recall that the function |x| is given as |x| = x if [tex]x\geq 0[/tex] and |x|=-x if x<0. In both cases, we have either the function x or -x, which are one-degree polynomials. So, we can find easily their derivatives. So if f(x) = |x|. Then, we have that

[tex]f'(x) = (x)' = 1 \text{if } x\geq 0[/tex]

[tex]f'(x) = (-x)' = -1 \text{if } x<0[/tex]

We should check what happens x=0, since that is the point where the definition of f changes. We can check that

[tex]\lim_{x\to 0^+} f'(x) = 1[/tex] and

[tex]\lim_{x\to 0^-} f'(x) = -1[/tex]

since this limits are not equal, the derivative is not continous at x=0. Hence, the derivative doesn't exist at x=0.

In this case, we say that |x| is differentiable at any x different from 0.

Answer:

h = 6

Step-by-step explanation:

We need to use Pythagorean theorem.

h² + 8² = 10²

h² = 100 - 64 = 36

h = 6

Answer:

hope this is correct

Answer:

$ 1,946.00  

Step-by-step explanation:

Average income per year=total income per month/12 months

total income=average income for first 4 months*4+ total income for 8 months

Let x represent total income total income for remaining 8 months

$1780.75=($1450.25*4+x)/12

$1780.75*12=$5,801+x

$21,369==$5,801+x

x=$21,369-$5,801

x=$15,568

The average income for the remaining eight months=x/8=$15568/8 =$1,946.00  

The average income for the remaining 8 months is $ 1,946.00  

Step-by-step explanation:

lateral area=area of the full triangle

surface area=area of the four triangles + area of the square

Answer:

3003 ways

Step-by-step explanation:

We are in a combination or permutation exercise, the difference between them is if the order matters (permutations) or does not matter (combinations),

in this case the order does not matter, since they only ask us for the ways to choose 10 of 15 roller coasters, therefore it would be a combination:

nCr = n! / (r! * (n-r)!

we know that n = 15 and r = 10, we replace:

15C10 = 15! / (10! * (15-10)!

15C10 = 3003

In other words, there are 3003 ways to choose 10 of the 15.

Your question is not well presented (Refer below for correct question)

The distance it takes a truck to stop can be modeled by the function;

d(u) = 2.15u²/64.4f

Where

d = stopping distance in feet

u = initial velocity in miles per hour

f = a constant related to friction

When the truck's initial velocity on dry pavement is 40 mph, its stopping distance is 138 ft.

Determine the value of f.

Answer:

The friction constant is approximately 0.3871

Step-by-step explanation:

Given

Stopping distance, d(u) = 138ft

Initial Velocity, u = 40mph

Required

Friction constant, f.

To get the value of f, we need to simply substitute 40 for u and 138 for d(u) in the above expression.

In other words;

d(u) = 2.15u²/64.4f becomes

138 = 2.15 * 40²/64.4f

138 = 2.15 * 1600/64.4f

138 = 3440/64.4f

Multiply both sides by 64.4f

138 * 64.4f = 64.4f * 3440/64.4f

8887.2f = 3440

Divide both sides by 8887.2

8887.2f/8887.2 = 3440/8887.2

f = 3440/8887.2

f = 0.387073544

f = 0.3871 (Approximated)

Hence, the friction constant is approximately 0.3871

Answer:

first one is  .39
second answer is C   the last  one

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

EU (European Union) countries report that 46% of their labor force is female. The United Nations wants to determine if the percentage of females in the U.S. labor force is the same. Based on a sample of 500 employment records, representatives from the United States Department of Labor found that the 95% confidence interval for the proportion of females in the U.S. labor force is 0.357 to 0.443. If the Department of Labor wishes to tighten its interval, they should:

A. increase the confidence level

B. decrease the sample size

C. increase the sample size

D. Both A and B

E. Both A and C

Solution:

Confidence interval for population proportion is written as

Sample proportion ± margin of error

Where sample proportion is the point estimate for the population proportion.

Margin of error = z × √pq/n

The z score for 95% confidence level is 1.96

p = 46/100 = 0.46

q = 1 - p = 1 - 0.46

q = 0.54

n = 500

Margin of error = 1.96√0.46 × 0.54/500 = 0.044

To tighten it's interval, the margin of error needs to be reduced.

If we increase the confidence level, say to 99%, z = 2.58

Then

Margin of error = 2.58√0.46 × 0.54/500 = 0.058

It increased

Also, If we increase the sample size, say to 700, then

Margin of error = 1.96√0.46 × 0.54/700 = 0.037

It has reduced

Therefore, the correct options is

C. increase the sample size

Answer:

0.26

Step-by-step explanation:

Answer:

Jennifer because she would make less but spent more on supplies

Step-by-step explanation:

Answer: The answer is D! Jennifer, |-85| > |-60|

Step-by-step explanation: I did the quiz hope everyone does great ^^