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2 years ago

The angles in a quadrilateral are 103.8° , 77° , 111.4° and p°. Calculate the value of p.

Mathematics

2 answers:

Anni [7]2 years ago

6 0

Answer:

68.6

Step-by-step explanation:

hello sir / mam!

as the opposite sides of quadrilateral should be 180°

111.4+p=180°

p=180-111.4

p=68.6°

therefore the value of p = 68.6°

hope it helps!

mars1129 [50]2 years ago

5 0

Answer: 67.8°

Step-by-step explanation:

A quadrilateral's interior angles always add up to 360°.

An equality statement can be set up to satisfy this rule:

103.8+77+111.4+p=360

Collect known values

292.2+p=360

Isolate and solve for p

292.2 (-292.2) +p=360 (-292.2)

p=67.8

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In 2 2/15 hours, the prices will be same

Step-by-step explanation:

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3 years ago

There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth grader

Anon25 [30]

Answer:

The number of students in the school band = 70

40% of students in the school band are sixth graders.

20% of students in the school band are seventh graders.

We have to find the number of band members that are sixth graders.

The number of sixth graders in school band are:

$40\% of 70$

$0.40 \times 70$

$28$

Therefore, there are 28 band members that are sixth graders.

4 0

4 years ago

A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence

Varvara68 [4.7K]

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

$n = 30$ -- sample size

$\bar x = 50$ -- sample mean

$\sigma = 10$ --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {30}}$

$\sigma_x = \frac{10}{5.478}$

$\sigma_x = 1.825$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.825$

$E = 3.577$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 3.577$

$Lower = 46.423$

$Lower = 46.4$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 3.577$

$Upper = 53.577$

$Upper = 53.6$ --- approximated

So, the 95% confidence interval is (46.4, 53.6)

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {90}}$

$\sigma_x = \frac{10}{9.49}$

$\sigma_x = 1.054$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.054$

$E = 2.06584$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 2.06584$

$Lower = 47.93416$

$Lower = 47.9$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 2.06584$

$Upper = 52.06584$

$Upper = 52.1$ --- approximated

So, the 95% confidence interval is (47.9, 52.1)

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

$n = 30$ $E = 3.577$

In (b), we have:

$n = 90$ $E = 2.06584$

Notice that the margin of error decreases when the sample size increases.

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3 years ago

Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain tha

soldi70 [24.7K]

Answer:

Step-by-step explanation:

5%×g= 5g/100

g-5g/100

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3 years ago

Pablo wrote tour division equations with 6 the quotient what could have been the four division equations that he wrote?

omeli [17]

6 ÷ 1

12 ÷ 2

18 ÷ 3

24 ÷ 4

864 ÷ 144

79.86 ÷ 13.31

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4 years ago