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3 years ago

TODIGIllici 8. Solve: - 5y+30=15

Mathematics

1 answer:

nasty-shy [4]3 years ago

4 0

Answer:

y=3

Step-by-step explanation:

Subtract 30 from both sides

-5y+30=15

-5y=-15

Divide by -5 on both sides

y=3

Hope this helps! :)

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A painting without its frame has a width 2.5 times its height, h, in inches. Its frame is 3 in. wide all along its perimeter. Wh

Lena [83]

Answer:

You will not be able to find the area of the framed painting without finding the length, which you did not provide. Assuming you meant “3 inches wide” to actually mean the length then the surface area of the painting is 9 inches squared. However, to find the height, you must divide 3 by 2.5 as the width was said to be 2.5 times the height of the painting. This will give you an answer of 1.2 inches in height.

7 0

3 years ago

It’s a i not a 1 (13+i)^2 <br><br> Need help please ??

s2008m [1.1K]

Answer:

196

Step-by-step explanation:

13 plus 1 is 14 then multiply 14 by itself twice

8 0

3 years ago

The product of 7 and a number is 126. Find the number

fenix001 [56]

Answer:

Step-by-step explanation:

Product of 7 and a number is 126.

Let's form the equation,

→ 7 × x = 126

The required value of x will be,

→ 7 × x = 126

→ x = 126/7

→ [ x = 18 ]

Hence, the number is 18.

6 0

2 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 $143l \mathrm{~b}$ .

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

To learn more about standard deviation visit:

brainly.com/question/16555520?

#SP4

4 0

2 years ago

9 friends are lining up. Joe, Susan, John, and Meredith must be beside each other. How many ways can they line up?

ZanzabumX [31]

<h3>Answer: 17,280</h3>

This is one single number slightly over 17 thousand.

You may need to erase the comma when typing the answer in.

=========================================================

Explanation:

Let's say that another person steps in for Joe, Susan, John, and Meredith. I'll refer to this person as the teacher (perhaps these 9 friends are students on a field trip).

The 9 friends drops to 9-4 = 5 people when those four named people leave the group temporarily. Then it bumps up to 5+1 = 6 people when the teacher steps in. Wherever the teacher is located, the four friends that left will replace the teacher. This guarantees that those four friends stick together.

There are 6! = 6*5*4*3*2*1 = 720 ways to arrange those 6 people. The exclamation mark is a factorial symbol.

Within any of those 720 permutations, we have 4! = 4*3*2*1 = 24 ways to arrange those group of named people when they come back to replace the teacher.

So overall the answer is 4!*6! = 24*720 = 17,280

You may need to erase the comma when typing the answer in.

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Side note: There are 9! = 362,880 ways to arrange all nine friends regardless if those four mentioned people stick together or not. We see that they stick together roughly (17,280)/(362,880) = 0.0476 = 4.76% of the time.

6 0

3 years ago