Five more than twice a number is three times the difference of that number and two. What is the number.

Melinda paints 7/8 of a wall in 1 1/6 hours. what part of a wall does Melinda paint in 1 minute

marissa [1.9K]

1 1/6 hours is equal to 60 minutes add 10 minutes = 70 minutes
7/8 takes 70 minutes
To find out what can be done in 10 minutes, divide both numbers by 7
7/8 / 7 = 1/8
1/8 takes 10 minutes
To find out how much is painted in 1 minute, divide both by 10
1/8 / 10 = 1/80

1/80 takes 1 minute

8 0

2 years ago

For the following indefinite integral, find the full power series centered at t=0 and then give the first 5 nonzero terms of the

Natali [406]

Answer:

The open interval of convergence is 1

Step-by-step explanation:

The detailed explanation is given in the attached document.

5 0

2 years ago

Convert the decimal expansion 0.1777 into a rational number.

Alex17521 [72]

1777/10000. might simplify

8 0

2 years ago

Read 2 more answers

Ralph bought a computer monitor with an area of 384 square inches. The length of the monitor is six times the quantity of five l

Alenkasestr [34]

Draw the picture and label the
width = w
The length of the monitor is six times the quantity of five less than half its width:
length = 6(w/2-5)
length = 3w-30
Area = (length)*(width)
384=(3w-30)*(w)
384=3w^2-30w
Answer:
the dimensions of the monitor in terms of its width is:
384=3w^2-30w

7 0

2 years ago

A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile st

maxonik [38]

Answer:

$z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413$

$p_v =2*P(z>1.413)=0.158$

If we compare the p value and the significance level given $\alpha=0.1$ 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 average tensile strength is different from 5lbs/mm at 10% of signficance

Step-by-step explanation:

Data given and notation

$\bar X=5.0611$ represent the sample mean

$\sigma=0.2803$ represent the population standard deviation for the sample

$n=42$ sample size

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

$\alpha=0.1$ 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 different from 5, the system of hypothesis would be:

Null hypothesis: $\mu = 5$

Alternative hypothesis: $\mu \neq 5$

If we analyze the size for the sample is > 30 but and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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:

$z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413$

P-value

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

$p_v =2*P(z>1.413)=0.158$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ 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 average tensile strength is different from 5lbs/mm at 10% of signficance

8 0

2 years ago