A colonoscopy is a screening test for colon cancer, recommended as a routine test for adults over age 50. A new study provides the best evidence yet that this test saves lives. The proportion of people with colon polyps expected to die from colon cancer is 0.01. A sample of 2602 people who had polyps removed during a colonoscopy were followed for 20 years, and 12 of them died from colon cancer. Does this provide evidence that the proportion of people who die from colon cancer after having polyps removed in a colonoscopy is significantly less than the expected proportion (without a colonoscopy) of 0.01?
What are the null and alternative hypotheses?

Question:

A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01

How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?

Answer:

51.65 kilowatt hours

Step-by-step explanation:

We are given the equation line of best fit for this data as:

y = 2.26x + 20.01

On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:

Let x = 14 in the equation.

Therefore,

y = 2.26x + 20.01

y = 2.26(14) + 20.01

y = 31.64 + 20.01

y = 51.65

On a day that has 14 hours of daylight, the model would predict 51.65 kilowatt hours

Answer:a true

Step-by-step explanation:

Hope this help

Answer:

the nominal interest rate is the periodic interest rate.

it  is the periodic interest rate times the number of periods per year.

Answer:

Answer to problem number 1: 576cm cubed

Step-by-step explanation:

The height times the length time the width in this shape is the formula for the volume.

Answer:

question 1. i believe is 576

Step-by-step explanation:

Answer:

No

Step-by-step explanation:Because there is not degree higher than one in the equation. Therefore it is linear.

Answer:

all even numbers

Step-by-step explanation:

Answer:

Any and all of the Even numbers are scale factors of two!

Answer:

[tex]\dfrac{3}{2}[/tex]

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

[tex]-\dfrac{3}{8}[/tex]

2nd fraction is negative one-fourth

i.e.

[tex]-\dfrac{1}{4}[/tex]

We have to find the quotient when 1st fraction is divided by 2nd fraction.

Definition of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

[tex]-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}[/tex]

[tex]\div[/tex] is converted to [tex]\times[/tex] and the 2nd fraction is reversed i.e.

if the fraction is [tex]\frac{p}{q}[/tex] it becomes [tex]\frac{q}{p}[/tex] and the sign [tex]\div[/tex] is changed to [tex]\times[/tex].

Solving above:

[tex]-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}[/tex]

So, the quotient is [tex]\frac{3}{2}[/tex].

Answer:

b = 0

Step-by-step explanation:

Because the line passes through x values when y = 0, it means that the line is y = 0. The slope would be 0, and because we are given 2 coordinates we can determine that the y intercept would be at 0.

Answer:

c

Step-by-step explanation:

hope this helps i just had this question on edge 2020

5 yrs+ 6 yrs =11 yrs

6 months+9 months=15 months

so,the answer is 11  yrs 15 months.

Step-by-step explanation:

In the given question, the study was performed to analyse the effect of eating dark chocolate on the person with hypertension or increased blood pressure.

a) The biasness in the experiment could be that the funding for the study has been provided with a Private Company which mainly aims at selling their product.

b) The research is reasonable as it has been proved that eating a small amount of Dark chocolate can help cardiovascular disease like hypertension or increased blood pressure.

Answer:

Null hypothesis:[tex]p\leq 0.3[/tex]  

Alternative hypothesis:[tex]p > 0.3[/tex]  

Critical value: [tex] z_{\alpha/2}= 1.64[/tex]

Test statistic: [tex]z=\frac{0.462 -0.3}{\sqrt{\frac{0.3(1-0.3)}{65}}}=2.85[/tex]  

For this case the calculated value is higher than the critical value so then we can reject the null hypothesis. And we can conclude that the true proportion of cars with emissions systems which failed to meet pollution control guidelines for this case is significantly higher than 0.30 or 30%

Step-by-step explanation:

Information given

n=65 represent the random sample taken

X=30 represent the number of cars with emissions systems which failed to meet pollution control guidelines

[tex]\hat p=\frac{30}{65}=0.462[/tex] estimated proportion of cars with emissions systems which failed to meet pollution control guidelines

[tex]p_o=0.30[/tex] is the value to verify

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to verify if the true proportion for this case is higher than 0.3 or no, the system of hypothesis are:  

Null hypothesis:[tex]p\leq 0.3[/tex]  

Alternative hypothesis:[tex]p > 0.3[/tex]  

The statistic for this case would be:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info we got:

[tex]z=\frac{0.462 -0.3}{\sqrt{\frac{0.3(1-0.3)}{65}}}=2.85[/tex]  

The critical value for this case would be taking in count the significance level in the right tail:

[tex] z_{\alpha/2}= 1.64[/tex]

For this case the calculated value is higher than the critical value so then we can reject the null hypothesis. And we can conclude that the true proportion of cars with emissions systems which failed to meet pollution control guidelines for this case is significantly higher than 0.30 or 30%

Answer:

  108

Step-by-step explanation:

We can rewrite f(x+2) to make it easier to evaluate:

  f(x+2) = (6x +5)x -8

Since we want f(6), we want x+2 = 6, or x=4.

  f(6) = (6·4 +5)·4 -8 = 29·4 -8

  f(6) = 108

Answer:

y=2/3x +7/3

2/3(4)+7/3=5

Answer:

$21

Step-by-step explanation:

Take 40 percent of 35:

35(0.4) = 14

$14 has been taken off the original price:

35 - 14 = 21

And we have our final answer.

Answer:

21

Step-by-step explanation:

$35x40%= $14

$35-$14= $21

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If I get this worng I'm sorry

Brainleist will be appreciated, if not that's ok

Sorry that my spelling is relly bad

Anyway, hope this helps :D

Answer:

The area of the remaining board is [(L × B) - (l × b)].

Step-by-step explanation:

Suppose the bigger rectangle is labelled as ABCD and the smaller rectangle is labelled as PQRS.

Consider that the length and breadth of the bigger rectangle are L and B respectively. And the length and breadth of the bigger rectangle are l and b respectively.

The area of any rectangle is:

Area = Length × Breadth

The area of the bigger rectangle is:

Area of ABCD = L × B

The area of the smaller rectangle is:

Area of PQRS = l × b

Then the area of the remaining board will be:

Area of remaining board = Area of ABCD - Area of PQRS

                                         = (L × B) - (l × b)

Thus, the area of the remaining board is [(L × B) - (l × b)].

Answer:

112

Step-by-step explanation:

Answer:

[tex]t=\frac{25.3-24.5}{\frac{5.4}{\sqrt{40}}}=0.937[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=40-1=39[/tex]  

And the p value would be given by:

[tex]p_v =P(t_{(39)}>0.937)=0.177[/tex]  

Step-by-step explanation:

Information given

[tex]\bar X=25.3[/tex] represent the sample mean

[tex]s=5.4[/tex] represent the sample standard deviation

[tex]n=40[/tex] sample size  

[tex]\mu_o =24.5[/tex] represent the value to verify

t would represent the statistic  

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true mean is higher than 24.5, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 24.5[/tex]  

Alternative hypothesis:[tex]\mu > 24.5[/tex]  

The statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]t=\frac{25.3-24.5}{\frac{5.4}{\sqrt{40}}}=0.937[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=40-1=39[/tex]  

And the p value would be given by:

[tex]p_v =P(t_{(39)}>0.937)=0.177[/tex]  

Answer:

436

Step-by-step explanation:

A rectangular prism is made up of 3 pairs of rectangles. In this case, one pair has dimensions of 4 by 9, another pair has dimensions of 4 by 14, and the last pair has dimensions of 9 by 14. The surface area of this rectangular prism is therefore:

2(4*9)+2(4*14)+2(9*14)=72+112+252=436 square inches

Hope this helps!

Answer:

436 in²

Step-by-step explanation:

A= 2*(4*14+4*9+9*14) in²= 436 in²

Answer:

A) neither Normal, not Binomial

The sampling distribution is the product of the sample size and the population proportion, hence the number ld samples in the distribution which will answer yes is 2.6

The proportion of the population who believe freedom of speech is of highest priority = 13% = 0.13

The sample distribution can be defined as :

Therefore, the average Number of persons in the sample who will answer yes will be 2.6

Learn more : https://brainly.com/question/18153040

Answer:

k=4

Step-by-step explanation:

y=3(1)-1

y=2

2=-2x+k

2=-2(1)+k

2=-2+k

4=k

Answer:

k = 4

Step-by-step explanation:

y = 3x -1

y = -2x+k

Set the two equations equal

3x -1 = -2x+k

Combine like terms

Add 2x to each side

3x+2x -1 =-2x+2x +k

5x - 1 = k

We know they are equal when x= 1

Let x=1

5*1 -1= k

5 -1= k

4 = k

Answer:

I couldn't find the link you wanted me to click.

Anyway the Pyramid Volume Formula is

Volume= (Area of the Base * Height) ÷ 3

It's hard to determine the volume because I can't tell the dimensions from the graphic.

I'd guess the answer to question 4 is "A" means area of the base

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

She received $75

1 CD cost $14.95

Therefore the number of CDs that can be bought are $75/$14.95 is

5.016

Answer:  B

Step-by-step explanation:

Times $74.95 by each number, and the one closet will be your answer:

$14.95 x 5 = $74.95 rounded to the nearest whole dollar is $75

Answer:

1) [tex]z=\frac{0.07 -0.06}{\sqrt{\frac{0.06(1-0.06)}{300}}}=0.729[/tex]  

We can calculate the p value with the following formula:

[tex]p_v =2*P(z>0.729)=0.466[/tex]  

The p value for this case is very high and using the significance level of 0.01 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the statment makes sense.

2) [tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.06(1-0.06)}{(\frac{0.01}{1.96})^2}=2166.66[/tex]  

And rounded up we have that n=2167

Step-by-step explanation:

Information given

n=300 represent the random sample taken

X=21 represent the number of peanuts empty  

[tex]\hat p=\frac{21}{300}=0.07[/tex] estimated proportion of peanust empty

[tex]p_o=0.06[/tex] is the value to test

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Part 1

We want to test if the true proportion is 6% or no the system of hypothesis are:  

Null hypothesis:[tex]p=0.06[/tex]  

Alternative hypothesis:[tex]p \neq 0.06[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.07 -0.06}{\sqrt{\frac{0.06(1-0.06)}{300}}}=0.729[/tex]  

We can calculate the p value with the following formula:

[tex]p_v =2*P(z>0.729)=0.466[/tex]  

The p value for this case is very high and using the significance level of 0.01 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the statment makes sense.

Part 2

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.01[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.06(1-0.06)}{(\frac{0.01}{1.96})^2}=2166.66[/tex]  

And rounded up we have that n=2167

Answer:

79.2° (First Option)

Step-by-step explanation:

To find mAB, recognize that the percents given for the pie chart can represent the percent area of the sector of the circle, the percent measure of the central angle that forms the sector, or the percent measure of the length of the arc.

The measure of an arc is equal to the measure of the central angle between the radii that form its endpoints. So, mAB=m∠AOB.

The measure of the central angle AOB that forms AB is 22 percent of the whole circle, or (0.22)360∘. So, mAB=0.22(360∘)=79.2∘

Therefore, the measure of arc AB

is 79.2∘.

The measure of the arc AB of a circle showing the different vitamins present in a health drink is 79.2 degrees.

The measure of an arc is always equivalent to the measure of the central angle between the radii that form its endpoints.

As the measure of an arc is always equivalent to the measure of the central angle between the radii that form its endpoints.

Thus [tex]m\angle{AOB}=\widehat{AB}[/tex].

First, find the measure of angle AOB.

Since the measure of angle AOB shows 22% of vitamins of the whole circle.

This means that the measure of angle AOB is 22% of 360 degrees.

Then we will get

[tex]m\angle{AOB}=\dfrac{22}{100}\times 360^{\circ}\\m\angle{AOB}=79.2^{\circ}[/tex]

Here the measure of angle AOB  is 79.2 degrees.

And since [tex]m\angle{AOB}=\widehat{AB}[/tex].

Therefore the measure of arc AB is 79.2 degrees.

That means option A [tex]79.2^{\circ}[/tex] is correct option.

Learn more about the measure of arc here- https://brainly.com/question/12555201

#SPJ2

Answer:

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Step-by-step explanation:

Let the price  of popcorn be x

Let the price  of drink be y.

price  of  12 bags of popcorn will be 12x

price  of  2 drinks  will be 2y

it is given that "Kennedy spends a total of $77.50 on 12 bags of popcorn and 2 drinks."

thus

12x + 2y = 77.50

dividing LHS and RHS by 2 we have

12x/2 + 2y/2 = 77.50/2

=> 6x + y = 38.75 _________(1)

__________________________________________________

price  of  3 bags of popcorn will be 3x

price  of  6 drinks  will be 6y

it is given that "Olivia spends a total of $51.00 on 3 bags of popcorn and 6 drinks."

thus

3x + 6y = 51.00

dividing LHS and RHS by 3 we have

3x/3 + 6y/3 = 51/3

=> x + 2y = 17   _____________(2)

__________________________________________________

Thus we have two equation

6x + y = 38.75 _________(1)

x + 2y = 17

=> x = 17 - 2y

putting this value of x in equation 1 we have

6( 17 - 2y) + y = 38.75

=> 102 - 12y + y = 38.75

=> 102 - 11y = 38.75

=> -11y = 38.75 -102

=> -11y = -63.25

=> y = -63.25/-11 = 5.75

as we have x = 17 - 2y

using 5.75 in place of y

x = 17 - 2(5.75 )

=> x = 17 - 11.5

=> x = 5.5

Thus, system of equations are

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Answer: 120 members

Step-by-step explanation: So, we know 12 of the members signed up, and 90% of the member did not sign up.

Therefore, 12 members is equal to 10%...

All we have to do now is...

12 * 10 = 120

The club has 120 members in total, I hope this helps!

Answer:

Step-by-step explanation:

Joseph : y = 25x + 15

Molly: y = 25x + 25

Joseph: y = 25(4)+ 15= 100+ 15= 115

Molly: y = 25(4)+ 25= 100+25= 125

Answer:

I hope this helps! <:

Step-by-step explanation:

The start is 15 and 25 so you keep on adding 25 to each of them, let's start with 15, 15+25=40 and 40 plus 25 is 65 and 65+25 is 90 the last one is 90+25= 115, now let's move on to 25. 25+25= 50 and the next one is 50+25=75 and then 75+25=100 and 100+25= 125.

Answer:

2) Option D is correct.

f = (15m + 35)

3) Check Explanation

Step-by-step explanation:

The diagram of the question is presented in the attached image to this question

English Translation

Efraín has a rectangular land whose area is (120m² + 280m) as shown in the figure. According to these data, how much does side f measure?

a) 12 m² + 35

b) 15 m + 35 cm

c) 12 m + 35

d) 15 m + 35

3.- A child made four plasticine figures: two quadrangular prisms and two cylinders. In which figure did you occupy the most amount of modeling clay? JUSTIFY YOUR ANSWER

Solution

2) The area of a rectangle is given as

Area = Length × Breadth

Area = (120m² + 280m)

Length = f

Breadth = 8m

(120m² + 280m) = f × 8m

f = (120m² + 280m)/(8m)

f = (15m + 35)

Option D is correct.

f = (15m + 35)

3) For the second question, the images for the question and the dimensions of the figures aren't provided, hence, a very accurate answer can be provided. But without This, we can only speculate.

The figure that would use the most clay is the figure whose volume is the highest if the volumes of each of the figures are calculated.

Volume of a quadrangular prism = (Area of base) × (perpendicular height)

Volume of a cylinder = (Area of base) × (Height) = (πR² × H) = πR²H

So, it is in the evaluation of these volumes that the solution of this question is obtained.

Hope this Helps!!

Answer:

Option A. Base of the triangle is 3unita

Option B. Height of the triangle is 5units

Option B. Area of the triangle is 7.5units

Step-by-step explanation:

The question is incomplete and lacking appropriate diagram. Here is the complete question.

The base (b) of the triangle is _ units.

A) 3 B) 5 C) 8 D) 13

The height (h) of the triangle is units.

A) 3 B) 5 C) 8 D) 13

The area of the triangle is square units.

A) 5 B) 7.5 C) 15 D) 30

Also find the attachment below.

From the graph, each square box in the graph will be taken as 1unit.

Since the base of the triangle is sitting on 3-square boxes, the total units of its base will be 3units. The base of the triangle is therefore 3units.

Similarly, the height of the triangle covers 5 square boxes, therefore the height of the triangle will be 5units.

Area of the triangle = 1/2 × base × height

Area of the triangle = 1/2 × 3 × 5

Area of he triangle = 15/2 = 7.5units

Answer:

3,5,7.5

Step-by-step explanation:

just got the answer right.

Answer:

C.

Step-by-step explanation:

Since mAB = mCD

So

3x+9 = 11x-71

9+71 = 11x-3x

80 = 8x

So

x = 10

Now

Arc AB = 3x+9

= 3(10)+9

= 39°