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boyakko [2]
3 years ago
14

A farmer outside of Clinton NC plants 20 plots of a new type of corn. The average yield for these plots is ī= 150 bushels per ac

re. Assume that the yield
per acre for the new viety of corn follows a normal distribution with
unknown mean and standard deviation of 20 bushels. Find a 95% confidence
interval.
A. 20 + 3.2
B. 150 +2.5
C. 150 +3.2
D. 150 +4.3
Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0

Answer:

The 95% confidence  interval is (150\pm 8.8).

Step-by-step explanation:

The information provided is:

\bar x=150\\\sigma = 20\\n=20

The critical value for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the margin of error as follows:

MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

          =1.96\times\frac{20}{\sqrt{20}}\\\\=1.96\times 4.47214\\\\=8.7653944\\\\\approx 8.8

Then the 95% confidence  interval is:

CI=\bar x\pm MOE

     =150\pm 8.8

Thus, the 95% confidence  interval is (150\pm 8.8).

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IgorLugansk [536]

If the student got 123 marks and failed by 39, your first step would be to add the two together, getting 162. This is the amount of marks needed to pass the test.

You would then divide 162 by .36 (.36 is equivalent to 36%). This would result in a maximum of 450 marks.

The maximum marks on this test are 450 marks.

8 0
3 years ago
Which graph represents the solution for the equation 3x + 2 = 5x?<br> **+
lianna [129]
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4 0
3 years ago
given f(x)=3^x-2 and g(x)=f(3x)+4, write the function rule for function g and describe the types of transformations that occur b
Leviafan [203]

Answer:

g(x)=3^{3x}+2

The transformation that occurs from f(x)\rightarrow g(x) is compression by 3 units horizontally and shift  of 4 units upwards.

Step-by-step explanation:

Given

f(x)=3^x-2

g(x)=f(3x)+4

Translation Rules:

f(x)\rightarrow f(cx)

If c>1 the function is compressed c units horizontally.

If c and c>0  the function stretches c units horizontally.

f(x)\rightarrow f(x)+c

If c>0 the function shifts c units to the up.

If c the function shifts c units to the down.

Applying the rules to f(x)

Step 1

f(x)\rightarrow f(3x)

f(3x)=3^{3x}-2

[compressed 3 units horizontally]

Step 2

f(3x)\rightarrow f(3x)+4=g(x)

f(3x)+4=3^{3x}-2+4

∴ g(x)=3^{3x}+2

[shifts 4 nits up]

∴ The transformation that occurs from f(x)\rightarrow g(x) is compression by 3 units horizontally and shift  of 4 units upwards.

5 0
3 years ago
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3 years ago
The area of the following rectangle is 30 square units. What is the value of x
amid [387]
Hi there.


A = 30, w = 5, l = x - 2

We can divide the area by the width to find the length.

\frac{30}{5} = 6

8 - 2 = 6

<em /><em>x = </em>8




6 0
4 years ago
Read 2 more answers
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