<img src="https://tex.z-dn.net/?f=3%20%5Ctimes%204x%20%5Ctimes%202y" id="TexFormula1" title="3 \times 4x \times 2y" alt="3 \time

All categories

IceJOKER [234]

3 years ago

s 4x \times 2y" align="absmiddle" class="latex-formula">
how do you simplify?

Mathematics

1 answer:

Dahasolnce [82]3 years ago

5 0

Answer:

24 x y

Step-by-step explanation:

Simplify the following:

3×4×2 x y

Hint: | Multiply 3 and 4 together.

3×4 = 12:

12×2 x y

Hint: | Multiply 12 and 2 together.

12×2 = 24:

Answer: 24 x y

You might be interested in

The mean finish time for a yearly amateur auto race was 186.32 minutes with a standard deviation of 0.305 minute. The winning c

uranmaximum [27]

Complete Question

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.305 minute. The winning car, driven by Roger, finished in 185.85 minutes. The previous year's race had a mean finishing time of 110.7 with a standard deviation of 0.115 minute. The winning car that year, driven by Karen, finished in 110.48 minutes.

Find their respective z-scores.

Who had the more convincing victory?

A. Roger had a more convincing victory because of a higher z-score.

B. Karen a more convincing victory because of a higher z-score.

C. Roger had a more convincing victory, because of a lower z-score.

D. Karen a more convincing victory because of a lower z-score.

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

The mean of the current year is $\mu_c = 186.32 \ minutes$

The standard deviation is $\sigma_c = 0.305 \ minutes$

The time taken by the winning car for the current year is $x = 185.85 \ minutes$

The mean of the previous year is $\mu_p = 110.7 \ minutes$

The standard deviation the previous year is $\sigma_p = 0.115 \ minutes$

The time taken by the winning car for the previous year is $y = 110.48 \ minutes$

Generally the z-score for current year is mathematically evaluated as

$z_c = \frac{x- \mu_c}{\sigma_c }$

=> $z_c = \frac{ 185.85- 186.32}{0.305 }$

=> $z_c = -1.536$

Generally the z-score for previous year is mathematically evaluated as

$z_p = \frac{y- \mu_p}{\sigma_p }$

=> $z_p = \frac{ 110.48-110.7}{0.115 }$

=> $z_p = -1.913$

From the value obtained we see that $z_p < z_c$ , Hence Karen had a more convincing victory because of the lower z -score.

5 0

3 years ago

In a survey, 18 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped

schepotkina [342]

Answer: 99% confidence interval would be (45.74,54.26).

Step-by-step explanation:

Since we have given that

N = 18

Mean = $50

Standard deviation = $7

At 99% confidence level, z = 2.58

So, Interval would be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=50\pm 2.58\times \dfrac{7}{\sqrt{18}}\\\\=50\pm 4.26\\\\=(50-4.26,50+4.26)\\\\=(45.74,54.26)$

Hence, 99% confidence interval would be (45.74,54.26).

8 0

4 years ago

Based on the drawing, Which can be used to prove PQR ≅ STV?

natta225 [31]

Answer:

Option (2) is correct.

Based on the drawing, SAS can be used to prove PQR ≅ STV

Step-by-step explanation:

We have to find the criterion by which the two given triangle can be prove similar from the given options.

Consider, the given triangles from the drawing given

ΔPQR and ΔSTV,

PR = VS (Given)

∠QRP = ∠TVS ( Given)

and, QR = TV (given)

Thus, PQR ≅ STV ( SAS CRITERION)

For SAS criterion , we need to show that two sides and the angle between those sides are equal .

Thus, option (2) is correct.

5 0

4 years ago

A golf ball is hit with an initial velocity of 50 m/s at an angle of 45° above the horizontal. What's the maximum height it will

koban [17]

This problem is a projectile problem. The initial velocity is 50m/s at an optimum angle of 45. The maximum height or the height of the y component is at it's highest is asked.

Informtion needed:
Acceleration due to gravity = 9.81m/s^2

Formula:

Hmax = ((V^2)(sin(angle))^2)/2g
Hmax = ((50^2)(sin45)^2)/(2*9.81) = 63.71 or letter B 63.5 m is the closest answer.

7 0

4 years ago

100+100+100+100+100+100

Elis [28]

Answer:

600

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers