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padilas [110]
3 years ago
14

The sum of the integers p and q is 495. If p is divided by 10, the result is equal to q. What is the value of p ?

Mathematics
1 answer:
velikii [3]3 years ago
5 0
450 ....................................................................................
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You can complete 2 math problems in 60 seconds. How long will it take you to
mariarad [96]

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1080

Step-by-step explanation:

You can add 60 18 times to get 1080 seconds. (60+)

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3 years ago
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboar
Katen [24]

Answer:

29 feet in length, 5 feet in width and 12 feet in height

Step-by-step explanation:

We have that for the volume of a quadrangular prism is:

V = l * w * h

Ie length times width times height

In this case, the height is determined by the squares that you put in each corner, taking into account that a square has all the same sides, the height is 12 inches. h = 12

they tell us that the length is 24 inches more than the width, that is, l = 24 + w

replacing we have:

1740 = (24 + w) * w * 12

1740 = 12 * w ^ 2 + 288 * w

12 * w ^ 2 + 288 * w - 1740 = 0

if we calculate the root, we have w = 5 or w = -29

only works when w = 5

Thus:

l = 24 + 5

l = 29

which means that the dimensions are:

29 feet in length, 5 feet in width and 12 feet in height

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3 years ago
In the past, the average age of employees of a large corporation has been 40 years. Recently, the company has been hiring older
Viktor [21]

Answer:

p_v =P(t_{(63)}>2.5)=0.0075  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean age is significantly higher than 45 years at 5% of significance.  

Step-by-step explanation:

1) Data given and notation  

\bar X=45 represent the mean height for the sample  

s=16 represent the sample standard deviation for the sample  

n=64 sample size  

\mu_o =40 represent the value that we want to test

\alpha=0.05 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 mean age is higher than 40 years, the system of hypothesis would be:  

Null hypothesis:\mu \leq 40  

Alternative hypothesis:\mu > 40  

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{45-40}{\frac{16}{\sqrt{64}}}=2.5    

P-value

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

df=n-1=64-1=63  

Since is a one right tailed test the p value would be:  

p_v =P(t_{(63)}>2.5)=0.0075  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean age is significantly higher than 45 years at 5% of significance.  

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Solve for slope y intercept and the equation please ​
aliya0001 [1]

Answer:

y=x-5 slope=1 y-intercept=-5

Step-by-step explanation:

5 0
3 years ago
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