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alisha [4.7K]
3 years ago
8

Find the value of x.

Mathematics
1 answer:
suter [353]3 years ago
3 0

Answer:

104 degrees

Step-by-step explanation:

71 degrees is one corner

Opposite corner is equal

Middle angle: 180-71-71 = 38

isosceles triangle bottom angle = 38 and 38

top angle = 180 - 38 - 38 = 104 degrees

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In a survey conducted by the Gallup​ Organization, 1100 adult Americans were asked how many hours they worked in the previous we
const2013 [10]

Answer:

1) Increase the sample size

2) Decrease the confidence level

Step-by-step explanation:

The 95% confidence interval built for a sample size of 1100 adult Americans on how much they worked in previous week is:

42.7 to 44.5

We have to provide 2 recommendations on how to decrease the margin of Error. Margin of error is calculated as:

M.E=z_{\frac{\alpha}{2} } \times \frac{\sigma}{\sqrt{n}}

Here,

z_{\frac{\alpha}{2} } is the critical z-value which depends on the confidence level. Higher the confidence level, higher will be the value of critical z and vice versa.

\sigma is the population standard deviation, which will be a constant term and n is the sample size. Since n is in the denominator, increasing the value of n will decrease the value of Margin of Error.

Therefore, the 2 recommendations to decrease the Margin of error for the given case are:

  1. Increase the sample size and make it more than 1100
  2. Decrease the confidence level and make it lesser than 95%.
7 0
3 years ago
Find the area of the triangle.<br><br><br><br><br><br> HELP PLEASEE ASAP !!
Aloiza [94]

Answer:

- 25

Step-by-step explanation:

A= 0(4-0)+7(0-3)+4(3-4) = -25

3 0
2 years ago
The table shows the distance y (in miles) that you travel on a road in x minutes. What type of function best models the data?
evablogger [386]

Answer:

Linear Function

Step-by-step explanation:

Given

The table showing values of x and y

Required

Determine the type of function

To determine the type of function, the table represents;

One will need to determine the table equation.

Start by solving for the slope;

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

When x - 0; y = 0 and When x = 80; y = 60.

This gives

m = \frac{0 - 60}{0 - 80}

m = \frac{- 60}{- 80}

m = \frac{3}{4}

The formula is determine as follows;

y - y_1 = m(x - x_1)

When x - 0; y = 0; m = 3/4; This gives

y - 0 = \frac{3}{4}(x - 0)

y = \frac{3}{4}(x - 0)

Open Bracket

y = \frac{3}{4}x - 0

y = \frac{3}{4}x

The above is an example of a linear equation.

<em>Hence; option B answers the question</em>

8 0
3 years ago
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Art [367]

Answer:

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Given is the piecewise function.

The first part is increasing function y = x + 6, when x ≤ -3

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The above  is reflection in the first graph (top one)

4 0
3 years ago
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