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Luba_88 [7]
4 years ago
6

Use complete sentences to explain how you could use a number line to explain why 2 < 3 < 5. Please. :D

Mathematics
1 answer:
Svetach [21]4 years ago
7 0
Two is less than three which is also less than 5.


When put into a number line from 0 to 10, it shows that 2 is closest to 0 while 5 is closest to 10 and three, will be in between 2 and 5. This shows that as you go from 2 to 3, the number increased and, it continues to increase when you go from 3 to 5. This shows that 2 is less than 3 and 3 is less than 5.
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The total length of 3 pipes is 24 inches. The middle-sized pipe is 6 inches longer than the smallest. The largest is twice as lo
quester [9]
The smallest is 4.5”.
The middle is 10.5
The largest is 9

So, 4.5+6=10.5
And 9=4.5(2)

7 0
2 years ago
Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a part
Gnoma [55]

Answer:

A) Null and alternative hypothesis

H_0: \mu=2\\\\H_a:\mu\neq 2

B) M = 2.2 hours

C) s = 0.52 hours

D) P-value = 0.255

E) At a significance level of 0.05, there is not enough evidence to support the claim that the mean tree-planting time significantly differs from two hours.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean tree-planting time significantly differs from two hours.

Then, the null and alternative hypothesis are:

H_0: \mu=2\\\\H_a:\mu\neq 2

The significance level is 0.05.

The sample has a size n=10.

The sample mean is M=2.2.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.52.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.52}{\sqrt{10}}=0.1644

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.2-2}{0.1644}=\dfrac{0.2}{0.1644}=1.216

The degrees of freedom for this sample size are:

df=n-1=10-1=9

This test is a two-tailed test, with 9 degrees of freedom and t=1.216, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=2\cdot P(t>1.216)=0.255

As the P-value (0.255) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the mean tree-planting time significantly differs from two hours.

<u><em>Sample mean and standard deviation:</em></u>

<u><em /></u>

<u><em /></u>M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{10}(1.7+1.5+2.6+. . .+2.3)\\\\\\M=\dfrac{22}{10}\\\\\\M=2.2\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{9}((1.7-2.2)^2+(1.5-2.2)^2+(2.6-2.2)^2+. . . +(2.3-2.2)^2)}\\\\\\s=\sqrt{\dfrac{2.4}{9}}\\\\\\s=\sqrt{0.27}=0.52\\\\\\

3 0
3 years ago
The cost to rent a construction crane is $1500 per day plus $250 per hour of use.Write and solve an inequality that can be used
Vitek1552 [10]

Answer:

Maximum of 14 Hours

Step-by-step explanation:

1500 + h(250) ≤ 5000

1500 + 250h ≤ 5000

250h ≤ 5000 - 1500

250h ≤ 3500

250h/250 ≤ 3500/250

h ≤ 14

6 0
3 years ago
How do I find 16% of 575
True [87]

Answer:

because im god and god is good and 9 x 10 is 99999

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
6 plus 6 jkkjuuu jj jii yo uu
Contact [7]

Answer:

12 :D

Step-by-step explanation:

6 0
4 years ago
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