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laila [671]
3 years ago
9

What is the slope?

Mathematics
1 answer:
Andrei [34K]3 years ago
6 0
Select any two coordinates from the graph such as (7,4) and (9,7). The formula of slope is rise/run or y2-y1/x2-x1
(4-7/(7-9)=(-3)/(-2)= 1.5
The slope of the graph is 1.5!
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A psychological experiment was conducted to investigate the length of time (time delay) between the administration of a stimulus
aleksklad [387]

Answer:

The P-value of this sample is 0 and is less than the significance level (0.05), so the effect is significant and the null hypothesis is rejected.

As there is significant evidence to reject H_0: \mu= 1.6, we can say that there is significant evidence to claim that the mean time delay for the hypothetical population of all persons who may be subjected to the stimulus differs from 1.6 seconds.

The significance level for this test is 0.05.

Step-by-step explanation:

In this case, we want to prove if there is significant evidence that the mean differs from 1.6 seconds. That is the same as having evidence to reject the the hypothesis H_0:\mu= 1.6 (the null hypothesis always have the equal sign).

We have to test the null hypothesis

H_0:\mu= 1.6

The significance level for this test is 0.05

Calculation of the t-statistic:

t=\frac{M-\mu}{s/\sqrt{n}} =\frac{2.2-1.6}{0.57/\sqrt{36}} =\frac{0.6}{0.063}= 9.47

If we look up in a t-table for t=9.47 and df=(36-1)=35, we get this value appears with a probability of zero. A large number like that is very unlikely to happen.

The P-value of this sample is 0 and is less than the significance level (0.05), so the effect is significant and the null hypothesis is rejected.

As there is significant evidence to reject H_0: \mu= 1.6, we can say that there is significant evidence to claim that the mean time delay for the hypothetical population of all persons who may be subjected to the stimulus differs from 1.6 seconds.

6 0
3 years ago
-3 +3(n+8)= 2(1 + 6n) - 8
lilavasa [31]

Answer:

3 =n

Step-by-step explanation:

-3 +3(n+8)= 2(1 + 6n) - 8

Distribute

-3 +3n +24 = 2 +12n -8

Combine like terms

21+3n = 12n -6

Subtract 3n from each side

21+3n-3n = 12n-3n -6

21 = 9n -6

Add 6 to each side

21+6 = 9n-6+6

27 = 9n

Divide each side by 9

27/9 = 9n/9

27/9 =n

Divide the top and bottom by 3

3 =n

4 0
3 years ago
Read 2 more answers
Find the shaded area of each figure, round your answer to one decimal place if necessary
Annette [7]
<h2>area of shaded portion = 49.5 yd²</h2><h2>____________________</h2>

<u>Step-by-step explanation:</u>

radius of circle = 5 yd ------ ( <em>g</em><em>i</em><em>v</em><em>e</em><em>n</em><em> </em><em>)</em>

height of triangle = 16 yd --- ( <em>g</em><em>i</em><em>v</em><em>e</em><em>n</em><em> </em><em>)</em>

base of triangle = 16 yd ----- ( <em>g</em><em>i</em><em>v</em><em>e</em><em>n</em><em> </em><em>)</em>

area of triangle = 1/2 × base × height

= 1/2 × 16 × 16

= 128 yd²

area of circle = π × radius²

= 3.14 × 5 × 5 --- ( π = 3.14 )

= 78.5 yd²

<h2>---------------------------------------</h2>

area of shaded portion = area of triangle - area of circle

area of shaded portion= 128 yd²-78.5 yd²

area of shaded portion = 49.5 yd²

<h2>--------------------------------------</h2><h2>PLEASE FOLLOW ME</h2>
8 0
2 years ago
If you add 21 to my number and then multiply the result by 3, you will get 84 more than two-thirds of my number. Find my number.
Ksivusya [100]

Based on the calculations, the unknown number is equal to \frac{-45}{7}

  • Let the unknown number be x.

<h3>How to find an unknown number:</h3>

Translate the word problem into an algebraic expression, we have;

Adding 21 to the unknown number:

21 +x

Multiplying the result by 3:

3\times (21+x)

84 more than two-thirds of the unknown number:

\frac{2x}{3} +84

Equating the equations, we have:

3\times (21+x) = \frac{2x}{3} +84\\\\43+3x=\frac{2x}{3} +84

Cross-multiplying, we have:

43+3x=\frac{2x}{3} +84\\\\129+9x=2x+84\\\\9x-2x=84-129\\\\7x=-45\\\\x=\frac{-45}{7}

Read more on word problems here: brainly.com/question/13170908

5 0
2 years ago
Find the HCF of 18 and 24​
Citrus2011 [14]

Answer:

So the greatest common factor 18 and 24 is 6

Step-by-step explanation:

6 0
3 years ago
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