use the given area to find the scale factor from the small figure to the large

Answer:   (0.00027144,  0.00036176)

Step-by-step explanation:

The sample proportion of cell phone users who develop cancer of the brain or nervous system = [tex]\dfrac{133}{420027}=0.0003166[/tex]

Sample size : 420027

Confidence interval for p: [tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex]= sample proportion , n= sample size , z* = crirical z value.

For 90% confidence interval , z*= 1.645

Required confidence interval:

[tex]0.0003166\pm (1.645)\sqrt{\dfrac{0.0003166(1-0.0003166)}{420027}}\\\\=0.0003166\pm 0.00004516\\\\=(0.0003166-0.00004516,\ 0.0003166+ 0.00004516)\\\\=(0.00027144, \ 0.00036176)[/tex]

A ​90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system = (0.00027144,  0.00036176)

Answer:

(4,8) is the answer.

Step-by-step explanation:

To solve by substitution, you need to isolate a variable. The bottom equation already has y isolated, so we can just plug that into the other equation:

[tex]2x=-2x+16[/tex]

Add [tex]2x[/tex] to both sides in order to get rid of the [tex]-2x[/tex] on the right side:

[tex]4x=16[/tex]

Now divide by 4 on both sides to get:

[tex]x=4[/tex]

That gives us our x. Now plug in that x into either equation. I will just choose the bottom equation:

[tex]y=2(4)\\y=8[/tex]

Therefore the solution to this problem is (4,8).

Answer:

1 cheese is left over.

Step-by-step explanation:

Given that,

1219 kg of Swiss cheese is packaged in 3 kg bags.

i.e. 3 kg bags = 1219 kg of Swiss cheese

Implies, 1 kg bag = [tex]\dfrac{1219}{3}[/tex] kg of swiss cheese

If we divide 1219 by 3, we get [tex]46\dfrac{1}{3}[/tex]. Here, 46 is the quotient and  1 is the remainder.

It means 1 cheese is left over.

Answer:

Individual error rate = 0.01

Therefore, Option b) 0.01 is the correct answer

Step-by-step explanation:

Given the data in the question;

family wise error rate ∝ = 0.05

there are ten levels of one factor but

important comparisons m = 5

the individual error rate need to be for each of those 5 comparisons = ?

we know that;

individual error rate = family wise error rate ∝ / important comparisons m

so we substitute

individual error rate = 0.05 / 5

individual error rate = 0.01

Therefore, Option b) 0.01 is the correct answer

Answer:

Pvalue of 0.0446 < 0.05, which means that we reject the null hypothesis and accept the alternative hypothesis, that the true mean is larger than the specification.

Step-by-step explanation:

The average weight of a package of rolled oats is supposed to be at most 18 ounces.

This means that the null hypothesis is:

[tex]H_{0}: \mu \leq 18[/tex]

Is the true mean larger than the specification?

Due to the question asked, the alternate hypothesis is:

[tex]H_{a}: \mu > 18[/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.

18 is tested at the null hypothesis:

This means that [tex]\mu = 18[/tex]

A sample of 18 packages shows a mean of 18.20 ounces with a sample standard deviation of 0.50 ounces.

This means that [tex]n = 18, X = 18.2, \sigma = 0.5[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{18.2 - 18}{\frac{0.5}{\sqrt{18}}}[/tex]

[tex]z = 1.7[/tex]

Pvalue of the test:

Probability of finding a sample mean above 18.2, which is 1 subtracted by the pvalue of z = 1.7.

Looking at the z-table, z = 1.7 has a pvalue of 0.9554.

1 - 0.9554 = 0.0446

0.0446 < 0.05, which means that we reject the null hypothesis and accept the alternative hypothesis, that the true mean is larger than the specification.

Answer:

B. y = 3x - 14

Answer:

(-6,-3)

Step-by-step explanation:

solve using substitution or elimination

Answer:

Whats the question to this problem? Do you want to know if it's correct?

i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!

Step-by-step explanation:

Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!

Answer:

20

Step-by-step explanation:

42 is the biggest and the smallest is 22 so 42-22 = 20!

Answer:

The answer is 5.9

Step-by-step explanation:

1) Subtract 31.7 from both sides.

[tex]14 - 31.7 = - 3x[/tex]

2) Simplify 14 - 31.7 to -17.7

[tex] - 17.7 = - 3x[/tex]

3) Divide both sides by -3.

[tex] \frac{ - 17.7}{ - 3} = x[/tex]

4) Simplify -17.7/-3 to 5.9

[tex]5.9 = x[/tex]

5) Switch sides.

[tex]x = 5.9[/tex]

Therefor, the answer is x = 5.9.

Answer:

Is there supposed to be a picture?

Answer:

x = 6

Step-by-step explanation:

Vertical angles in a geometry are equal. Hence m<A = m<B

Given that

m<A =  3x - 9

m<B - x+3

Then 3x - 9 = x+3

3x - x = 3 + 9

2x = 12

Divide both sides by 2

2x/12 = 12/2

x = 6

Hence the value of x is 6

Answer:

[tex]\frac{28}{3}=t[/tex]

Step-by-step explanation:

[tex]\frac{4}{3}=\frac{t}{7}[/tex]

Use cross products to simplify the equation. Multiply the denominator of the second fraction by the numerator of the first fraction, and the denominator of the first fraction by the numerator of the second,

[tex](4)(7) = (3)(t)[/tex]

Simplify,

[tex]28=3t[/tex]

Inverse operations,

[tex]\frac{28}{3}=t[/tex]

Answer:

a)The P-value will be too small

b) He will reject the Null hypothesis

Step-by-step explanation:

a) If David incorrectly uses the z-distribution instead of the t-distribution, he will obtain a p-value that is too small   because p-values obtained using Z distribution are smaller when compared to p-values obtained using t-distribution

b) He will reject the Null hypothesis given that the P value he will obtain will be very different from the one he obtained using z-distribution

Answer:

a-70

Step-by-step explanation:

28+42=70

Hi!

7|H| + 4G = 7 * |-6| + 4 * 7 =

= 7 * 6 + 4 * 7 = 42 + 28 = 70

Grettings!

Answer:

48°

Step-by-step explanation:

All the angles in a triangle sum up to 180°.

Therefore,

x°+74°+58°=180°

→x°+132=180°

x°=180-132=48°

Answer:

f(x) is another way to write y.

You have y = 6x - 8.

To find the inverse, switch the x and the y and solve for the new y.

Switching gives you x = 6y - 8.

You add 8 to both sides to give you 6y = x + 8.

Divide both sides by 6 gives you the inverse as y =1/6x + 4/3

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

90/100 x 80 = 72 employees

Answer:

x+y =-6 you can write this equation

Answer:

6

Step-by-step explanation:

plz me

Answer:

6

Step-by-step explanation:

can i have brainliesyt

Answer:

True - Keep the first fraction the same then flip to solve the MULTIPLICATION problem

Step-by-step explanation:

Answer:

It would be A, True - Keep the first fraction the same then flip to solve the MULTIPLICATION problem.

Step-by-step explanation:

Answer:

(C). 155°

Step-by-step explanation:

Answer:

Negative Association.

Step-by-step explanation:

Association between variables:

Association between variables can be classified as positive or negative.

Positive: Both move in the same direction, that is, either both increase or both decrease.

Negative: The variables move in opposite directions, one increases and the other decreases.

In this question:

As the first increases the second decreases, that is, they move in opposite directions, so it is a Negative Association.

Answer:

A^2 + B^2 = C^2

6^2 + 14^2=c^2

36+196=C^2

232=c^2

square root of 232= c

therefore c is equal to 15,23

Step-by-step explanation:

use the Thereom of Pythagoras

Answer:

70°

Step-by-step explanation:

If arc BY is 40, angle BAY is 20.

BAC is 90.

90-20 is 70.

m<YAC=70

Answer:

w=12 L=27

Step-by-step explanation:

length is twice the width with additional 3 inches

12×2=24+3=27

12×27=324

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

[tex]\pi[/tex][tex]r^{2}[/tex]=area of circle

[tex]\frac{1}{4}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]=1/4 of the area of a circle

now solve

[tex]\frac{1}{4}[/tex][tex]\pi[/tex][tex]10^{2}[/tex]

[tex]\frac{1}{4}[/tex][tex]\pi[/tex]100

25[tex]\pi[/tex]

Answer:

3,528.57142857

Step-by-step explanation:

Answer:

[tex]3528\frac{4}{7}[/tex]

Step-by-step explanation:

13 × 95 ÷ 0.35

1235 ÷ 0.35

[tex]3528\frac{4}{7}[/tex]

Answer:

60+160

Step-by-step e

Answer:

60+160 or 220

Step-by-step explanation:

20(3+8)

multiple 20 by 3 and 8

60+160

add 60 and 160 which is 220