All categories

3 years ago

Number 5 a b c plzzzzz

Mathematics

1 answer:

Solnce55 [7]3 years ago

6 0

Answer:

A scale drawing is an enlarged or reduced drawing of an object that is proportional to the actual object.

A scale is the ratio that compares a length in a scale drawing to the corresponding length in the actual object.

Step-by-step explanation:

A) 22.1 feet

B) 6.8 feet

C) 3.4 feet

You might be interested in

Dilate the figure using a scale factor of 3/4 and rotate the new image 90° counterclockwise

GREYUIT [131]

The new points will be A' (-6,9) B'(-6,-3)C'(6,-3) then graph them. REMEMBER: if the scale factor is greater than 1 the image will shrink. If the scale factor is less than one the image will enlarge

5 0

4 years ago

4(x+6)-3x=26 what is the x value

satela [25.4K]

Answer:

x=2

Step-by-step explanation:

4 (x + 6) - 3x = 26

solve the parenthesis

4x + 24 - 3x = 26

subtract 24 from both sides to get x by itself

4x - 3x = 2

solve

x = 2

4 0

3 years ago

Read 2 more answers

There are 7 students in a class. If there are 3 seats in the front row, how many ways can the students sit in the front row, ass

oksian1 [2.3K]

Answer:

<h2>35 different ways</h2>

Step-by-step explanation:

Since there are 7 students in a classroom to fill a front row containing 3 seats, we will apply the combination rule since we are to select 3 students from the total number of 7 students in the class.

In combination,<em> if r objects are to be selected from a pool of n objects, this can be done in nCr number of ways.</em>

Selecting 3 students from 7 students to fill the seats can therefore be done in 7C3 number of ways.

7C3 = 7!/(7-3)!3!

7C3 = 7!/(4)!3!

7C3 = 7*6*5*4!/4!*3*2

7C3 = 7*6*5/6

7C3 = 7*5

7C3 = 35

<em>Hence there are 35 different ways that the student can sit in the front assuming there are no empty seats.</em>

3 0

3 years ago

a boat capsized and sank in the lake. based on an assumption of a mean weight of 143 lb, the boat was rated to carry 70 passenge

Alenkinab [10]

The final answer is the probability that the boat is overloaded because the mean weight of the 70 passengers is greater than 143lb is 1.0000.

A normal distribution is a continuous data distribution with a bell-shaped curve. The normally distributed random variable X has mean $\mu$ and standard deviation $\sigma$ .

In addition, the standard normal distribution represents a normal curve with a mean of zero and a standard deviation of one.

The number of standard deviations an element deviates from the mean is indicated by a standardized Z-score.

What is the theorem of the central limit?

If the sample size from the population is sufficiently large and has a finite variance, the mean of all samples taken will be approximately the same as the population mean. And the variance would be the population variance divided by the sample size. In addition, the sampling distribution would be roughly normal.
The formula for sampling distribution of the sample mean is $\mu_{\bar{x}}=\mu$
The formula for standard deviation of the sample mean is, $\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}$
Here, $\sigma$ is the population standard deviation and n is the sample size.
The formula for standard z-score is,

$z=\frac{\bar{x}-\mu_{x}}{\frac{\sigma}{\sqrt{n}}}$

From the given information,Population mean, $\mu=171$ ,Population standard deviation, $\sigma=37.7$ ,Sample size, n=70
Compute the probability that the boat is overloaded because the mean weight of the 70 passengers is greater than $143l \mathrm{~b}$ .

$\begin{aligned}P(\bar{X} > 143) &=P\left(\frac{\bar{X}-\mu}{\sigma / \sqrt{n}} > \frac{143-171}{37.7 / \sqrt{70}}\right) \\&=P(Z > -6.21) \\&=1-P(Z < -6.21) \text { (Use the Excel function NORMSDIST(-6.21)) } \\&=1-0.0000 \\&=1.0000\end{aligned}$