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-BARSIC- [3]
3 years ago
10

With data from the 2009 National Health Interview Survey, the Centers for Disease Control estimated that 9.4% of U.S. children h

ad asthma. Suppose that 12% of a random sample of 500 U.S. poor children have asthma. We used the estimate from the 2009 National Health Interview Survey to calculate a standard error of 0.013. The data allows the use of a normal model. So we can find an approximate 95% confidence interval for the percentage of all U.S. poor children who have asthma. Which interval is the approximate 95% confidence interval? Group of answer choices
0.094 to 0.146
0.107 to 0.133
0.026 to 0.214
0.068 to 0.12
Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

Answer:

0.12 -1.96*0.013= 0.094

0.12 +1.96*0.013= 0.146

And the best option would be:

0.094 to 0.146

Step-by-step explanation:

For this case we have the following info given:

\hat p=0.12 represent the proportion estimated

SE = 0.013 represent the standard error

Confidence =0.95 represent the confidence level

The confidence interval for the true proportion is given by:

\hat p \pm z_{\alpha/2} SE

And for 95% of confidence the critical value is z_{\alpha/2}= 1.96 and replacing we got:

0.12 -1.96*0.013= 0.094

0.12 +1.96*0.013= 0.146

And the best option would be:

0.094 to 0.146

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Multiple choice pls help!
ser-zykov [4K]

Answer:

\frac{15}{17}

Step-by-step explanation:

sine = \frac{oppositex}{hypotenuse}

since A = \frac{15}{17}

8 0
3 years ago
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Can you please help me because I can’t do it right
Dovator [93]

12% growth

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22% growth

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3 years ago
Harry and Taylor are running a concession stand for a concert. Hot dogs at the concession stand cost $1.25 each and sodas cost $
Margarita [4]

Answer:

a-135 hot dogs and 245 sodas were sold.

Step-by-step explanation:

Our equations are:

1.25h + 0.75s = 352.50

h + s = 380

Let's use substitution to solve for this system. In the second equation, let's write h in terms of s:

h + s = 380

h = 380 - s

Now, let's plug in 380 - s for h in the first equation:

1.25h + 0.75s = 352.50

1.25(380 - s) + 0.75s = 352.50

We can now solve for s fairly easily:

1.25(380 - s) + 0.75s = 352.50

475 - 1.25s + 0.75s = 352.50

0.5s = 122.5

s = 245 sodas

We can already see which answer choice will match: A, and that is our answer.

5 0
3 years ago
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If a line intersects two sides of a triangle, then it forms a triangle that is similar to the given triangle. always sometimes n
azamat
<span>If that line is parallel to one of the sides, then the statement is true.</span>
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3 years ago
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Consider h(x)=x^2+8+15. identify its vertex and y-intercept.
OleMash [197]

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [x = \frac{-b}{2a}, h(\frac{-b}{2a})].

<h3>Use the equation:  [x = \frac{-b}{2a}, h(\frac{-b}{2a})]</h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

x = \frac{-b}{2a}

x = \frac{-8}{2(1)}

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

5 0
2 years ago
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