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3 years ago

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Mathematics

2 answers:

Tpy6a [65]3 years ago

6 0

Answer:

angle abc=125°

.......................

shutvik [7]3 years ago

4 0

Answer:

125

Step-by-step explanation:

Using the angle addition postulate,

Parts of an Angle add up to form a new angle with the measure of that angle is the sum of the two separate angles.

Add ABD and DBC

 $65 + 60 = 125$ 

ABC=125

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An airplane travels 640 miles from Topeka to Houston in 3.2 hours, going against the wind. The return trip is with the wind, and

Mandarinka [93]

The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent the rate of the airplane with no wind. and b the rate of the wind, hence:

(a - b)3.2 = 640

a - b = 200 (1)

Also:

(a + b)2 = 640

a + b = 320 (2)

The solution to equation 1 and 2 is:

a = 260, b = 60

The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.

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Answer:

Step-by-step explanation:

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Blue: 4 units right. 3 units up.

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3 years ago

Can someone help me with this? You may answer as much as you can.

pantera1 [17]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reporte

monitta

Answer:

The test statistic is t = 3.36.

Step-by-step explanation:

You're testing the claim that the mean difference is greater than 0.7.

At the null hypothesis, we test if it is 0.7 or less, that is:

$H_0: \mu \leq 0.7$

At the alternate hypothesis, we test if it is greater than 0.7, that is:

$H_1: \mu > 0.7$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7$

Survey of 35 people. From the sample, the mean difference was 0.95, with a standard deviation of 0.44.

This means that $n = 35, X = 0.95, s = 0.44$

Calculate the test statistic

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}$

$t = 3.36$

The test statistic is t = 3.36.

7 0

3 years ago