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Novosadov [1.4K]
3 years ago
15

What's another way to express the expression [4(17) + 3(25)] x 5?

Mathematics
1 answer:
Elis [28]3 years ago
5 0

Answer:

715

Step-by-step explanation:

[4(17) + 3(25)] x 5

(68+3*25)*5

(68+75)*5

143*5

175

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What does the variable r represent in the equation 10r+4=8?
Aloiza [94]
R =

I think “represent” is asking you to solve to a number.

10r + 4 = 8
Subtract 4 from both sides of the equation:
10r = 4
Divide both sides by 10:
r = 0.4

Check the math:

10(0.4) + 4 =
4 + 4 = 8
8 0
3 years ago
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl
cricket20 [7]

Answer:

1) We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:  

Null hypothesis:\mu \leq 5  

Alternative hypothesis:\mu > 5  

2) df=n-1=8-1=7  

Since is a one sided test the p value would be:  

p_v =P(t_{(7)}>2.233)=0.0304  

3) For this case is we use a significance level of 1% or 99% of confidencewe see that p_v >\alpha and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance \alpha=0.05 or 95% of confidence we see that p_v and we have enough evidence to conclude that the specification is satisfied.

Step-by-step explanation:

Data given and notation  

\bar X=6.5 represent the sample mean

s=1.9 represent the sample standard deviation

n=8 sample size  

\mu_o =5 represent the value that we want to test

\alpha 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)  

Part 1: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:  

Null hypothesis:\mu \leq 5  

Alternative hypothesis:\mu > 5  

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{6.5-5}{\frac{1.9}{\sqrt{8}}}=2.233    

Part 2: P-value

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

df=n-1=8-1=7  

Since is a one sided test the p value would be:  

p_v =P(t_{(7)}>2.233)=0.0304  

Part d: 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 height of men actually its significant higher compared to the height of men in 1960 at 1% of signficance.  

Part 3

For this case is we use a significance level of 1% or 99% of confidencewe see that p_v >\alpha and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance \alpha=0.05 or 95% of confidence we see that p_v and we have enough evidence to conclude that the specification is satisfied.

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Find the centroid of the region bounded by y = 3x^2, y = 0, x = 4
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x⁻ = 1/A (∫ (x dA)) 
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First, we evaluate the value of A and dA as follows:

A = ∫dA
A = ∫ydx
A = ∫3x^2 dx
A = 3x^3 / 3 from 0 to 4
A = x^3  from 0 to 4
A = 64

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x⁻ = 1/A (∫ (x dA)) 
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x⁻ =  1/64 (∫ (3x^3 dx)
x⁻ =  1/64 (3 x^4 / 4) from 0 to 4
x⁻ =  1/64 (192) = 3

y⁻ = 1/A (∫ (y dA)) 
y⁻ = 1/64 (∫ (3x^2 (3x^2 dx))) 
y⁻ = 1/64 (∫ (9x^4 dx) 
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The graph of the line with the equation y = 1/2 * x + 4 crosses the x-axis at which of the following
svlad2 [7]

Answer:

Step-by-step explanation:

so we are looking for the x intercept (where the line crosses the x axis).

to do this, we sub in 0 for y and solve for x.

y = 1/2x + 4....sub in 0 for y

0 = 1/2x + 4

-1/2x = 4

x = 4 * -2

x = -8 <=== so it crosses the x axis at (-8,0)

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3 years ago
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