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lara31 [8.8K]
3 years ago
14

Tony rounded each of the numbers 154 and 145 to the nearest hundred. Which choice correctly compares the rounded numbers!

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0

Answer:

200 > 100

Step-by-step explanation:

154 rounded to the nearest hundred is 200 because 154 is closer to 200 than to 100. and 145 is closer to 100 than it is to 200 so we have 200 and 100 and we know that 200 is greater than 100 so we can conclude with 200 > 100

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25. The perimeter of a rectangle is equal to twice the sum of its length and its width. One
AlexFokin [52]

Answer:

The equation that can be used to find the width is 2(13 + w) = 42

The width of the rectangle is 8 inches

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(l + w), where l is its length and w is its width

∵ One  rectangle has a length of 13 inches

∴ l = 13 inches

∵ Its perimeter is 42 inches

∴ P = 42 inches

- Substitute the values of l and P in the formula of the perimeter

∵ 42 = 2(13 + w)

The equation that can be used to find the width is 2(13 + w) = 42

To find W divide both sides by 2

∴ 21 = 13 + w

- Subtract 13 from both sides

∴ 8 = w

The width of the rectangle is 8 inches

7 0
3 years ago
8x - 2y = - 8 5x - 4y = 17
11111nata11111 [884]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( − 3 , − 8 )

Equation Form:

x =- 3 , y = − 8

Step-by-step explanation:

4 0
2 years ago
A digital camcorder repair service has set a goal not to exceed an average of 5 working days from the time the unit is brought i
garri49 [273]

Answer:

The degrees of freedom first given by:  

df=n-1=12-1=11  

Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:

t_{\alpha}= 1.796

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

Step-by-step explanation:

Information given

5, 7, 4, 6, 7, 5, 5, 6, 4, 4, 7, 5.

System of hypothesis

We want to test if the true mean is higher than 5, the system of hypothesis are :  

Null hypothesis:\mu \leq 5  

Alternative hypothesis:\mu > 5  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

The degrees of freedom first given by:  

df=n-1=12-1=11  

Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:

t_{\alpha}= 1.796

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

6 0
3 years ago
What is the length of side x?
nikklg [1K]

Answer:

11 because as you see 3 and 6 if you divide it the scale factor is 1/2 so you just do 5.5 times 2 and get 11

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If 8x is the length of a rectangle and the area is 8x^2 -56x what must the width be?​
Irina18 [472]

Answer:

width= x-7

Step-by-step explanation:

l= 8x

Area = l*b

b= 8x^2-56x/8x

b= 8x(x-7)/8x

b= x-7

7 0
3 years ago
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