Please help asap please and thank you

If Bill was traveling v mi/h, how would you represent Daemon's speed in mi/h if he was traveling 45 mi/h faster?

VikaD [51]

The sum of two variables having the same units is given by adding the magnitudes of the quantities and expressing the outcome in the units of the quantities

Daemon's speed is (v + 45) mi/h

The reason the above value for Daemon's speed is correct is as follows:

The known parameters are;

The speed with which Bill was travelling = v mi/h

The speed with which Daemon was travelling = 45 mi/h faster than Bill

Method:

By dimensional analysis, we note that the given quantities have the same units, and therefore, they represent the same quantity of speed

To find Daemon's speed, the amount by which his speed is more than that of Bill's speed is added to the given amount of Bill's speed as follows;

Solution:

Daemon's speed = v mi/h + 45 mi/h = (v + 45) mi/h

Learn more about variable addition here:

brainly.com/question/22965573

brainly.com/question/242905

5 0

3 years ago

2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two

Lena [83]

To answer this item, we let x be the first positive integer. Then, the second would be x+1. Their reciprocals would be 1/x and 1/(x+1). Then, the equation that would best represent the scenario above is,
1/x + 1/(x+1) = 17/72
Solving the equation above,
((x+1) + x) / (x)(x+1) = 17/72
If we take the numerators of both sides of the equation,
(x+1) + x = 17
The value of x from the equation is 8 and x+1 would be 9. Thus, the answer would be 8 and 9.

8 0

4 years ago

1 . The ratio of 3 1/3 to 2 1/4 is equal to the ratio of?

Nikitich [7]

Answer:

40 : 27

Step-by-step explanation:

$3\frac{1}{3} : 2\frac{1}{4}$

Turn into improper fractions:
$\frac{10}{3} : \frac{9}{4}$

Make them integers by multiplying them by 12:
40 : 27

3 0

2 years ago

I don't understand this one plz help before sunday.(Thank may God bless you and back the blue)

Makovka662 [10]

Answer:

2/3(3/4x-3/2) = 1/2x-1

(2x+1) - (x+3/2) = x - 1/2

Step-by-step explanation:

1) Distribute 2/3 to both 3/4x and -3/2

2/3(3/4x) = 6/12x which can be simplified as 1/2x

2/3(-3/2) = -6/6 which simplifies to -1

2/3(3/4x-3/2) = 1/2x-1

2) (2x+1) - (x+3/2) combine like terms

2x-x = x

1 - 3/2= 1- 1 1/2 ( change 3/2 into an improper fraction. 2 goes into 3 one time with one left over. Place the “leftover” back on top of the original denominator of 2)

1- 1 1/2 = -1/2, so

(2x+1) - (x+3/2) = x - 1/2

8 0

3 years ago

Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - α)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of z for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

4 0

3 years ago