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3 years ago

What is the value of n?

Mathematics

2 answers:

bogdanovich [222]3 years ago

8 0

Answer:

Step-by-step explanation:

Look at the picture.

We know: Angles on one side of a straight line always add to 180°.

Therefore:

$\alpha=180^o-142^o=38^o\\\\\beta=180^o-133^o=47^o$

We know: the sum of the measures of the angles of the triangle is equal to 180 °.

Therefore:

$\gamma+47^o+38^o=180^o$

$\gamma+85^o=180^o$ <em>subtract 85° from both sides</em>

$\gamma=95^o$

$n^o+95^o=180^o\to n^o=180^o-95^o=85^o$

Triss [41]3 years ago

3 0

Answer:

Step-by-step explanation:

n+142=180(angle on a straight line)

n=180-142

n=38

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There are 40 pupils in a class. 75% of them are present. How may are present? How many are absent?

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Answer:

30 are present 10 are absent

Step-by-step explanation:

75%=3/4

so 3/4 of them are absent

3/4(40)=30

and 40-30=10 are absent

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2 years ago

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3 years ago

Solve for y in terms of m by cross-multiplying.<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bm%7D%20%3D%5Cfrac%7B1%

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Answer:

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Step-by-step explanation:

y 1

---- = --------

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6 0

3 years ago

The mean one-way commute to work in Chowchilla is 7 minutes. The standard deviation is 2.4 minutes, and the population is normal

adell [148]

Answer:

The answer is below

Step-by-step explanation:

Given that:

The mean (μ) one-way commute to work in Chowchilla is 7 minutes. The standard deviation (σ) is 2.4 minutes.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

$z=\frac{x-\mu}{\sigma}$

a) For x < 2:

$z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08$

From normal distribution table, P(x < 2) = P(z < -2.08) = 0.0188 = 1.88%

b) For x = 2:

$z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08$

For x = 11:

$z=\frac{x-\mu}{\sigma}=\frac{11-7}{2.4} =1.67$

From normal distribution table, P(2 < x < 11) = P(-2.08 < z < 1.67 ) = P(z < 1.67) - P(z < -2.08) = 0.9525 - 0.0188 = 0.9337

c) For x = 11:

$z=\frac{x-\mu}{\sigma}=\frac{11-7}{2.4} =1.67$

From normal distribution table, P(x < 11) = P(z < 1.67) = 0.9525

d) For x = 2:

$z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08$

For x = 5:

$z=\frac{x-\mu}{\sigma}=\frac{5-7}{2.4} =-0.83$

From normal distribution table, P(2 < x < 5) = P(-2.08 < z < -0.83 ) = P(z < -0.83) - P(z < -2.08) = 0.2033- 0.0188 = 0.1845

e) For x = 5:

$z=\frac{x-\mu}{\sigma}=\frac{5-7}{2.4} =-0.83$

From normal distribution table, P(x < 5) = P(z < -0.83) = 0.2033

8 0

4 years ago

Show an equation to find out how many milliliters are in 3.4 L

Allisa [31]

Answer:

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Step-by-step explanation:

Conversion factor: 1000

2) mL = L * 1000

3) mL = 3.4 * 1000

4) mL = 3400

3 0

3 years ago