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2 years ago

Find the distance between the points (10,10) and (10,5)

Mathematics

1 answer:

yarga [219]2 years ago

5 0

Answer:

Step-by-step explanation:

The x coordiantes are the same so

the distance is the difference in the y coordinates

10 - 5 = 5

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Find the measure of the graph

Nadya [2.5K]

Where’s the graph lol?

3 0

2 years ago

6.1.7 (Video Solution) An article in Human Factors (June 1989) presented data on visual accommodation (a function of eye movemen

horsena [70]

Answer:

- the sample mean is 44

- the sample standard deviation is 12.35

Step-by-step explanation:

given information:

data, $x_{i}$ = 36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 39.0, 50.23

the number of data, n = 8

the sample mean, xbar

xbar = ∑ $x_{i}$ /n

= (36.45+67.90+38.77+42.18+26.72+50.77+39.0+50.23)/8

= 352.08/8

= 44

standard deviation, s

s = $\sqrt{sum(x_{i} - xbar)^{2}/n-1}$

= $\sqrt{(36.45-44)^{2}+(36.45-44)^{2}.........(39.00-44)^{2}+(50.23-44)^{2}/(8-1 )}$

= $\sqrt{\frac{1067.12}{7} }$

= 12.35

7 0

2 years ago

please help!! 20 points if u just comment to take my points or guess i’ll make sure ur account gets banned. thank you!!

LekaFEV [45]

Answer:

I believe it's A and B

Step-by-step explanation:

3 0

2 years ago

Identify a pair of similar triangles How can you tell the difference between Side-Side-Side, Side-Angle-Side, Angle-Side-Angle,

liberstina [14]

Step-by-step explanation:

SSS

SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. For example: is congruent to: (See Solving SSS Triangles to find out more) If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent

SAS

The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

ASA

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. For example: is congruent to: (See Solving ASA Triangles to find out more)

AAS

The Angle Angle Side postulate (often abbreviated as AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

7 0

3 years ago

A random survey of 1000 students nationwide showed a mean ACT score of 21.1. Ohio was not used. A survey of 500 randomly selecte

vodka [1.7K]

Answer:

We conclude that the mean Ohio score is below the national average.

Step-by-step explanation:

We are given that a random survey of 1000 students nationwide showed a mean ACT score of 21.1. Ohio was not used.

A survey of 500 randomly selected Ohio scores showed a mean of 20.8. The population standard deviation is 3.

Let $\mu$ = mean Ohio scores.

So, Null Hypothesis, $H_0$ : $\mu$ $\geq$ 21.1 {means that the mean Ohio score is above or equal the national average}

Alternate Hypothesis, $H_A$ : $\mu$ < 21.1 {means that the mean Ohio score is below the national average}

The test statistics that would be used here One-sample z test statistics as we know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n}}}$ ~ N(0,1)

where, $\bar X$ = sample mean Ohio score = 20.8

$\sigma$ = population standard deviation = 3

n = sample of Ohio = 500

So, test statistics = $\frac{20.8-21.1}{\frac{3}{\sqrt{500}}}$

= -2.24

The value of z test statistics is -2.24.

Now, at 0.1 significance level the z table gives critical value of -1.2816 for left-tailed test. Since our test statistics is less than the critical values of z as -2.24 < 1.2816, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean Ohio score is below the national average.

4 0

3 years ago