Solve w2 =64 where w is a real number

Express the confidence interval 0.555 less than 0.777 in the form Modifying above p with caret plus or minus Upper E.

Elina [12.6K]

Complete Question

Express the confidence interval 0.555 less than p less than 0.777 in the form Modifying above p with caret plus or minus Upper E.

Answer:

The modified representation is $\r p \pm E = 0.666 \pm 0.111$

Step-by-step explanation:

From the question we are told that

The confidence interval interval is $0.555 < p < 0.777$

Now looking at the values that make up the up confidence interval we see that this is a symmetric confidence interval(This because the interval covers 95% of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail as shown on the figure in the first uploaded image(reference - Yale University ) ) which means

Now since the confidence interval is symmetric , we can obtain the sample proportion as follows

$\r p = \frac{0.555 + 0.777}{2}$

$\r p =0.666$

Generally the margin of error is mathematically represented as

$E = \frac{1}{2} * K$

Where K is the length of the confidence interval which iis mathematically represented as

$K = 0.777 -0.555$

$K = 0.222$

Hence

$ME = \frac{1}{2} * 0.222$

$ME = 0.111$

So the confidence interval can now be represented as

$\r p \pm E = 0.666 \pm 0.111$

3 0

4 years ago

A student has received the following test scores: 71%, 89%, 72%,

lidiya [134]

Answer: 81%

Step-by-step explanation:

From the question, we are informed that a student received the following test scores: 71%, 89%, 72%,

84% and 83% in 5 tests and the student wants to maintain an average of 80%.

The lowest score/grade they can receive on the next test to maintain at least an 80% average first thus:

First, to make it easy we can remove the percent sign. Then we multiply 80 by 6 since we're calculating for 6 tests scores. This will be:

= 80 × 6

= 480

We then add all the 5 test scores. This will be:

= 71 + 89 + 72 + 84 + 83

= 399

We then subtract the values gotten. This will be:

= 480 - 399

= 81

This means the student must get at least 81%

5 0

4 years ago

Which linear inequality is represented by the graph?

Tamiku [17]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

A dotted line passes through two points (3, 1) and (-3, -3)

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept

Slope of a line passing through $(x_1, y_1)$ and $(x_2,y_2)$ is,

m = $\frac{y_2-y_1}{x_2-x_1}$

For the given points,

m = $\frac{1+3}{3+3}$

m = $\frac{2}{3}$

y-intercept 'b' = -1

Therefore, equation of the given line will be,

$y=\frac{2}{3}x-1$

Since graphed line is a dotted line so it's representing an inequality(having < or > sign)

And the shaded part is below the dotted line,

Inequality will be,

y < $\frac{2}{3}x-1$

Therefore, Option (4) will be the answer.

7 0

3 years ago

find the curved surface area and total surface area of a right circular cylinder whose height is 15 cm and the radius of the bas

Katena32 [7]

Answer:

Step-by-step explanation:

curved surface area is 2πrh, so 2*π*7*15.

7*15*2=210.

210*π=659.734

3 0

3 years ago

What is the unit value of the 6 in 216

Marianna [84]

<span>What is the unit value of the 6 in 216 ?
</span>6 ones

8 0

4 years ago

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