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3 years ago

Work out the sizeof angle X

Mathematics

1 answer:

aleksandrvk [35]3 years ago

3 0

Answer:

x = 13°

Step-by-step explanation:

Since the lines are parallel , then

the lower left vertex of the triangle = 85° ( alternate angles )

the lower right vertex of the triangle = 180° - 98° = 82° ( adjacent angles )

Then

x = 180° - (82 + 85)° = 180° - 167° = 13° ( angle sum of triangle )

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n200080 [17]

Answer:

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Step-by-step explanation:

step 1. use the poisson formula given as

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p(x=2) =( 3² x 2.7183⁻³) ÷ 2! = 0.22

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3 years ago

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Ganezh [65]

Answer:

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3 years ago

What is the solution to the equation?<br> -4 = 1<br> .<br> Enter your answer in the box.<br> X=

beks73 [17]

Step-by-step explanation:

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3 years ago

A packing carton in the shape of a triangular right prism shown below. Find the volume of the prism.

Annette [7]

Answer: The volume is 120 $in^3$ .

Step-by-step explanation:

-The volume formula for a triangular prism is:

(Height × Base × Length) /2

-So, you put the height, base, and length:

(4 × 6 × 10)

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3 years ago

An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an est

nirvana33 [79]

Answer:

The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.8}{2} = 0.1$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.1 = 0.99$ , so $z = 1.28$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.28*\frac{4.1}{\sqrt{840}} = 0.2$

The lower end of the interval is the sample mean subtracted by M. So it is 40.6 - 0.2 = 40.4 words per minute.

The upper end of the interval is the sample mean added to M. So it is 40.6 + 0.2 = 40.8 words per minute.

The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.

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4 years ago