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3 years ago

-8u + 3 = 2u - 17 Solve for u

Mathematics

2 answers:

mart [117]3 years ago

7 0

Answer:

U is 2

Step-by-step explanation:

-8u+3=2u-17

+17 +17

= -8u+20=2u

+8u +8u

20=10u

10*2= 20

U=2

Nutka1998 [239]3 years ago

5 0

-8u-2u=-17-3
-10u = -20
u = 10

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4x+3y=16 x= -3 and y= -2 Solve the equation

Ksivusya [100]

Answer:

Is this question wrong?

Step-by-step explanation:

4x+3y=16

4(-3)+3(-2)=16

-12-6=16

-18=16

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3 years ago

A shelf contains n separate compartments. There are r indistinguishable marbles.

densk [106]

Answer: $\frac{n!}{r!(n-r)!}$

ways

Step-by-step explanation:

Given that a shelf contains n separate compartments. There are r indistinguishable marbles

The marbles are identical so they can be placed in any order.

Let us consider the places available for placing these r marbles

No of compartments available =n

Marbles to be placed = r

Since marbles are identical and order does not matter

number of ways the r marbles can be placed in the n compartments

= nCr

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4 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

Christian is going to an amusement park. The price of admission into the park is $35, and once he is inside the park, he will ha

djyliett [7]

59 because if you do 3x8 that equals 24 and then you do 35+24 that equals 59

5 0

3 years ago

Find the values of x and y given that ABCD is congruent to EFGH.

Kazeer [188]

Answer:

x=7 , y = 8.

Step-by-step explanation:

10x+65 = 135

or, 10x = 70

so, x = 7

Now,

4y-4=28

or, 4y = 32

so, y = 8

7 0

3 years ago