Julies buys 8.2 pounds of pears for $16 ABOUT how much do they cost per pound?

Gnesinka [82]

Answer:

54°

Step-by-step explanation:

Since the radius is not given, i'm going to assume that you are being asked for the measure of Arc FE, which is the angle the arc makes on the circumference when measured from the center of the circle.

Please refer to attached.

We can observe that FG and GE are both radii of the circle, hence they will have the same length. This also means that triangle FGE is an isosceles triangle. Which in turn means that ∠GFE = ∠GEF = 63°.

With this we can find the measure of arc FE

= ∠FGE

= 180° - 63° - 63°

= 54°

Hope this helps!

4 0

3 years ago

The question in picture attached

krek1111 [17]

Need free pointtdsssss

4 0

2 years ago

Match the items in a credit card statement to their descriptions.

jonny [76]

The maximum credit available on a credit card
1. credit line
determines the finance charge payable on credit purchases
4. new purchases
the amounts devoted to the credit card account
2. annual percentage rate
the period for which transactions are recorded in a credit card statement
1. billing cycle

8 0

3 years ago

What is 20% of 95? (show all work)

elena-s [515]

we know that if 95 is out of 100%, we can write it down as 95 = 100%. we also know that x is 20% of the output value, so we can write it down as x = 20%. 
now we have the equations:
95=100%
x=20%
next we will put the equations together
95/x = 100%/20%
95/x=100/20
(95/x)*x=(100/20)*x
we multiply both sides of the equation by x
95=5*x
now we divide both sides of the equation by 5 to get x
95/5=x 
19=x 
x=19
we now know that 20% of 95 = 19
let me know if you have any other questions
:)

6 0

3 years ago

Refer to the following scenario:You want to see if there is a difference between the exercise habits of Science majors and Math

bekas [8.4K]

Answer:

1. H0: P1 = P2

2. Ha: P1 ≠ P2

3. pooled proportion p = 0.542

4. P-value = 0.0171

5. The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Step-by-step explanation:

We should perform a hypothesis test on the difference of proportions.

As we want to test if there is significant difference, the hypothesis are:

Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).

Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).

The sample 1 (science), of size n1=135 has a proportion of p1=0.607.

$p_1=X_1/n_1=82/135=0.607$

The sample 2 (math), of size n2=92 has a proportion of p2=0.446.

$p_2=X_2/n_2=41/92=0.446$

The difference between proportions is (p1-p2)=0.162.

$p_d=p_1-p_2=0.607-0.446=0.162$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014$

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

$\text{P-value}=2\cdot P(z>2.4014)=0.0171$

As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

We want to calculate the bounds of a 99% confidence interval of the difference between proportions.

For a 99% CI, the critical value for z is z=2.576.

The margin of error is:

$MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335$

The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

6 0

3 years ago