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yan [13]
2 years ago
11

Can the sides of a triangle have lengths 13, 5, and 16?

Mathematics
1 answer:
Alika [10]2 years ago
7 0

Answer:

Yes

Step-by-step explanation:

13 + 5 > 16
16 - 3 < 5
Yes :D

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9(x + 1) = 25 + x<br><br> x = 2<br> x = 3<br> x = 4<br> x = 5
wolverine [178]

Answer:

2

Step-by-step explanation:

9x + 9 = 25 + x

8x = 16

x = 2

make sure to ask if you need any further guidance.

5 0
2 years ago
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Task: Multiplying and Dividing Expressions
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What number represents 100% of the fall student athlete
natta225 [31]

Answer:

62

Step-by-step explanation:

this is because 62 might be 100%

6 0
2 years ago
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Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?
natima [27]

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

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V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

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Hence the width is 6in

6 0
3 years ago
A researcher wants to test whether a certain sound will make rats do worse on learning tasks. It is known that an ordinary rat c
AveGali [126]

Answer:

So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

Step-by-step explanation:

In this data we have

Mean= u = 18

X= 38

Standard deviation = s= 6

1) We formulate the null and alternate hypothesis as

H0:  u = 18  against           Ha : u > 18  One tailed test .

2) The significance level alpha = ∝= 0.05 and  Z alpha has a value ± 1.645 for one tailed test.

3)The test statistics used is

Z= X- u / s

z= 38-18/6= 3.333

4) The calculated value of z = 3.33 is greater than the z∝ = 1.645

5) So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

First we set the criteria for determining the true of value of the variable. That whether the rats learn in less or more than 18 trials.

Then we find the value of z for the given significance value given and the test about to be checked.

Then the test statistic is determined and calculated.

Then both value of z and z alpha re compared. If the test statistics falls in the rejection region  reject the null hypothesis and conclude alternate hypothesis is true.

The figure shows that the calulated z value lies outside the given z values

4 0
2 years ago
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