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faltersainse [42]
3 years ago
8

Break apart strategy for 518+372=

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
8 0
518 + 372

= 500 + 18 + 300 + 72

= 800 + 18 + 72

= 800 + 90

= 890
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A rectangle's length is twice its width. if the perimeter is 120 cm, find the width of the rectangle.
dangina [55]
Let's use the formula to find the perimeter of a rectangle.
2l+2w=120
We know that the length is twice its width; the equation would be:L=2w
We can plug that in to the formula.
2(2w)+2w=120
4w+2w=120
6w=120
120÷6=20=w
Since the length is twice its width, 20×2=40. The length is 40 cm.
The width is 20 cm.
Tell me if this helps!!
4 0
3 years ago
What is the circumference of a circle if the radius is 50 ?
Zina [86]
The appropriate formula is C = 2*pi*r.  

Here, C = 2*pi*(50 units) = 100*pi units (answer)
5 0
3 years ago
Is the distance a baseball travels in the air after being hit a discrete random​ variable, a continuous random​ variable, or not
LuckyWell [14K]

Answer: a continuous random​ variable

Step-by-step explanation:

<u><em>Can you count the distance it traveled?</em></u> You can't, so it couldn't be discrete because you can count discrete variables.

<u><em>Can you measure the distance it traveled? </em></u>You sure can, that makes it a continuous random variable.

<u><em>Do you know the exact distance it's going to travel?</em></u><u> </u>You won't, therefore it's a random variable since you don't know the value beforehand.

5 0
3 years ago
The American Water Works Association reports that the per capita water use in a single-family home is 63 gallons per day. Legacy
Debora [2.8K]

Answer:

t=\frac{60-63}{\frac{8.9}{\sqrt{28}}}=-1.784    

df=n-1=28-1=27  

p_v =P(t_{(27)}  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is less than 63 gallons per day at 1% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=60 represent the sample mean

s=8.9 represent the sample standard deviation

n=28 sample size  

\mu_o =68 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is less than 63, the system of hypothesis would be:  

Null hypothesis:\mu \geq 63  

Alternative hypothesis:\mu < 63  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{60-63}{\frac{8.9}{\sqrt{28}}}=-1.784    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=28-1=27  

Since is a one side lower test the p value would be:  

p_v =P(t_{(27)}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is less than 63 gallons per day at 1% of signficance.  

5 0
3 years ago
Simplify V45 fully, giving your answer in the form avb<br><br> What is the answer to this?
Sergeu [11.5K]

\textit{Hello There!}

\text{\underline{ANSWER:}}

=3\sqrt{5} .

\textit{Hopefully, this helps you!!}

\boxed{\text{AnimeVines}}

7 0
3 years ago
Read 2 more answers
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