Help with circle problems

Determine the value of e.

Softa [21]

9514 1404 393

Answer:

A) 16

Step-by-step explanation:

The ratio of long-side to short-side is the same for all of these similar triangles, so we have ...

e/8 = 8/4

e = 8(8/4) = 8(2) = 16

The value of e is 16.

7 0

3 years ago

An individual needs a daily supplement of at least 464 units of vitamin C and 252 of vitamin E and agrees to obtain this supplem

hichkok12 [17]

Answer:

z (min) = 705

x₁ = 10

x₂ = 9

Step-by-step explanation:

Let´s call x₁ quantity of food I ( in ou ) and x₂ quantity of food II ( in ou)

units of vit. C units of vit.E Cholesterol by ou

x₁ 32 9 48

x₂ 16 18 25

Objective function z

z = 48*x₁ + 25*x₂ To minimize

Subject to:

1.-Total units of vit. C at least 464

32*x₁ + 16*x₂ ≥ 464

2.- Total units of vit. E at least 252

9*x₁ + 18*x₂ ≥ 252

3.- Quantity of ou per day

x₁ + x₂ ≤ 35

General constraints x₁ ≥ 0 x₂ ≥ 0

Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:

z (min) = 705

x₁ = 10

x₂ = 9

5 0

3 years ago

According to Nielsen Media Research. of all the U.S. households that owned at least one television set, 83% had two or more sets

Rudik [331]

Answer:

The proportion of U.S. households that owned two or more televisions is 83%.

Step-by-step explanation:

To determine whether the proportions of U.S. households that owned two or more televisions is less than 83% or not let us perform a hypothesis test for single proportion.

Assumptions:

The sample size (n) selected by the local cable company is 300 which is quite large. Then according to the Central limit theorem the sampling distribution of sample proportion follows a normal distribution with mean p and standard deviation $\sqrt{\frac{p(1-p)}{n} }$ .

Since the sampling distribution of sample proportions follows a normal distribution use the z-test for one proportion to perform the test.

The hypothesis is:

$H_{0}$ : The proportion of U.S. households that owned two or more televisions is 83%, i.e. $p=0.83$

$H_{1}$ :The proportion of U.S. households that owned two or more televisions is less than 83%, i.e. $p< 0.83$

Decision Rule:

At the level of significance α = 0.05 the critical region for a one-tailed z-test is:

$\\ Z\leq -1.645\\$

**Use the z table for the critical values.

So, if $\\ Z\leq -1.645\\$ the null hypothesis will be rejected.

Test statistic value:

$z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

Here $\hat{p}$ is the sample proportion.

Compute the value of $\hat{p}$ as follows:

$\hat{p}=\frac{X}{n} \\=\frac{240}{300}\\ =0.80$

Now compute the value of the test statistic as follows:

$z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\=\frac{0.80-0.83}{\sqrt{\frac{0.83*(1-0.83)}{300} } } \\=-1.383$

The test statistic is -1.383 which is more than -1.645.

Thus, the test statistic lies in the acceptance region.

Hence we fail to reject the null hypothesis.

Conclusion:

At 0.05 level of significance we fail to reject the null hypothesis stating that the proportion of U.S. households that owned two or more televisions is 83%.

6 0

3 years ago

Name all the values of x if

Naddik [55]

Answer:

I think they are

|9|

|-9|

7 0

4 years ago

Please help me! i linked the image that has the question

ycow [4]

Answer:

Step-by-step explanation:

The area of a trapezoid is the average of the parallel bases times the height.

A=h(a+b)/2 and since we have two identical trapezoids the total are will be

A=h(a+b) in this case

A=15(32+25)=855mm^2

7 0

3 years ago