What is the justification for each step in the solution of the equation 3(2x + 7) - 4 = 53

An emergency team needs to be on the roof of the hospital 3 minutes before the helicopter arrives. It takes the team 4 minutes t

mojhsa [17]

Answer: Hope this helps.

Step-by-step explanation:

7 0

3 years ago

Dajuan is painting a mural on a rectangular

horsena [70]

Answer:

Every day Dajuan will paint 14.5 square feet of the wall.

Step-by-step explanation:

Since Dajuan is painting a mural on a rectangular wall, which measures 14.5 feet long and 10 feet wide, and so far, his mural covers 60% of the wall, and Dajuan will paint the remaining part of the wall over the next four days, painting the same amount of the wall, in square feet, on each of those four days, to determine how much of the wall, in square feet, will Dajuan paint on each of the next four days, the following calculation must be performed:

((14.5 x 10) x 0.4) / 4 = X

(145 x 0.4) / 4 = X

58/4 = X

14.5 = X

Therefore, every day Dajuan will paint 14.5 square feet of the wall.

4 0

3 years ago

Help please<br>1)-2<br>2)2<br>3)-1<br>4)1

fomenos

The slope would be -2 because the graph is going down and from the y-intercept (0-2), it is going 2 units down and 1 unit right.

3 0

3 years ago

Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim

andreev551 [17]

Answer:

$p_v =P(t_{74}$

If we compare the p value and a significance level for example $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

Step-by-step explanation:

Data given and notation

$\bar X=18.81$ represent the average lateral recumbency for the sample

$s=8.4$ represent the sample standard deviation

$n=75$ sample size

$\mu_o =20$ 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)

State the null and alternative hypotheses.

We need to apply a left tailed test.

What are H0 and Ha for this study?

Null hypothesis: $\mu \geq 20$

Alternative hypothesis : $\mu < 20$

Compute the test statistic

The statistic for this case 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:

$t=\frac{18.81-20}{\frac{8.4}{\sqrt{75}}}=-1.227$

The degrees of freedom are given by:

$df=n-1=75-1=74$

Give the appropriate conclusion for the test

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

$p_v =P(t_{74}$

Conclusion

If we compare the p value and a significance level for example $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

3 0

3 years ago

What is the value of the 3 in the number 61.83

melamori03 [73]

Answer:

three occupies the hundredths place (it is 3/100 of a whole number)

8 0

3 years ago

What is the justification for each step in the solution of the equation 3(2x + 7) - 4 = 53 - 3x?