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3 years ago

The puppy daycare has 38 doggie treats for 9 dogs to share evenly. The leftovers will be placed back into the jar.

Mathematics

2 answers:

Svetlanka [38]3 years ago

6 0

The answer is A. 2

9x4=36
38-36=2

Luba_88 [7]3 years ago

5 0

9<span>×4=36 -38=2 so A is the answer 2 are left over to put in the jar</span>

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You are given the following information obtained from a random sample of 5 observations. 20 18 17 22 18 At 90% confidence, you w

Margaret [11]

Answer:

The null hypothesis is

$H_o : \mu = 21$

The Alternative hypothesis is

$H_a : \mu< 21$

$\sigma_{\= x} = 0.8944$

$t = -2.236$

Yes the mean population is significantly less than 21.

Step-by-step explanation:

From the question we are given

a set of data

20 18 17 22 18

The confidence level is 90%

The sample size is n = 5

Generally the mean of the sample is mathematically evaluated as

$\= x = \frac{20 + 18 + 17 + 22 + 18}{5}$

$\= x = 19$

The standard deviation is evaluated as

$\sigma = \sqrt{ \frac{\sum (x_i - \= x)^2}{n} }$

$\sigma = \sqrt{ \frac{ ( 20- 19 )^2 + ( 18- 19 )^2 +( 17- 19 )^2 +( 22- 19 )^2 +( 18- 19 )^2 }{5} }$

$\sigma = 2$

Now the confidence level is given as 90 % hence the level of significance can be evaluated as

$\alpha = 100 - 90$

$\alpha = 10$ %

$\alpha =0.10$

Now the null hypothesis is

$H_o : \mu = 21$

the Alternative hypothesis is

$H_a : \mu< 21$

The standard error of mean is mathematically evaluated as

$\sigma_{\= x} = \frac{\sigma}{ \sqrt{n} }$

substituting values

$\sigma_{\= x} = \frac{2}{ \sqrt{5 } }$

$\sigma_{\= x} = 0.8944$

The test statistic is evaluated as

$t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{ 19 - 21 }{ 0.8944 }$

$t = -2.236$

The critical value of the level of significance is obtained from the critical value table for z values as

$z_{0.10} = 1.28$

Looking at the obtained value we see that $z_{0.10}$ is greater than the test statistics value so the null hypothesis is rejected

6 0

3 years ago

Find the endpoint of the line segment

blondinia [14]

Answer:

(29,-13)

Step-by-step explanation:

You can tackle this for x and y coordinate separately.

For x, the line starts at -9 and is halfway at 10. The distance between -9 and 10 is 19 so it has another 19 to go, which puts the endpoint at 10+19=29.

Same for y: from 7 to -3 is 10 down, another 10 to go, puts you at -13.

Formula: x,y of midpoint is ((x1+x2)/2, (y1+y2)/2)

3 0

3 years ago

A cheetah can run 56 miles per hour. At that rate, a cheetah can run 27 miles in 15 minutes.

-Dominant- [34]

Answer:

false, they can run 14 miles in 15 minutes

Step-by-step explanation:

56 divide by 4 = 14

60 divided by 15 = 4

4 0

3 years ago

Oliver has 2 pieces of rope that are each 3 1/2 ft long. He also has a piece of string that is 2 1/4 ft long. Olivier needs to c

ser-zykov [4K]

This is the concept of arithmetic; given that a string was cut into 3 equal pieces.
The length of each piece will be:
[length of the string]*3
length of the string=2 1/4 ft=9/4 ft
thus the length will be:
9/4÷3
=9/4×1/3
=3/4 ft
thus we conclude that the length of each string will be 3/4 ft long

3 0

3 years ago

Read 2 more answers

What is the simplified form of the expression √ 1/196

makvit [3.9K]

Answer:

1/13

Step-by-step explanation:

√ 1/196 = (1/196)*(1/2)

= (1)*(1/2)/(13)^(2×1/2)

=1/13

7 0

3 years ago

Read 2 more answers