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3 years ago

Dont rip me off for points, if you dont know the answer dont say anything

Mathematics

1 answer:

VashaNatasha [74]3 years ago

7 0

Answer:

AB = 2 root 13

AC = 4 root 5

Step-by-step explanation:

AB = sqrt[(-4-2)² + (3-7)²]

AB = sqrt(36 + 16)

AB = sqrt(52)

AB = 2sqrt(13)

AC = sqrt[(-8-0)² + (7-3)²]

AC = sqrt(64+16)

AC = sqrt(80)

AC = 4sqrt(5)

sqrt: square root

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Solve (x^2+2xy+y^2)(X+1) Show steps

AleksandrR [38]

Answer:

$\large\boxed{x^3+x^2+2x^2y+2xy+xy^2+y^2}$

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

$(x^2+2xy+y^2)(x+1)\\\\=(x^2)(x)+(x^2)(1)+(2xy)(x)+(2xy)(1)+(y^2)(x)+(y^2)(1)\\\\=x^3+x^2+2x^2y+2xy+xy^2+y^2$

4 0

2 years ago

Choose the expression that represents a cubic expression.

Anna007 [38]

Answer:

10x³ - 6x² - 9x + 12 is a cubic expression ⇒ 2nd

6x + 6 is a linear expression ⇒ 1st

5x² + 9x - 1 is a quadratic expression ⇒ 2nd

Quadratic expression ⇒ 1st

Step-by-step explanation:

* Lets explain the degree of any expression

- The degree of any expression is the greatest power of the variable

- Ex:

# 3x - 3 is a first degree expression

# x² - 3x + 2 is a second degree expression

# 5x³ - 2x² + 5x - 2 is a third degree expression

- The first degree expression is called linear expression

- The second degree expression is called quadratic expression

- The third degree expression is called cubic expression

* Lets solve the problem

∵ The cubic expression is the expression with greatest power of 3

∴ 10x³ - 6x² - 9x + 12 is the cubic expression

∵ The linear expression is the expression with greatest power of 1

∴ 6x + 6 is a linear expression

∵ The quadratic expression is the expression with greatest power of 2

∴ 5x² + 9x - 1 is a quadratic expression

∵ The expression is -2x² + 11

∵ The greatest power of x is 2

∴ -2x² + 11 is a quadratic expression

3 0

3 years ago

Read 2 more answers

g Which of the following is true about a p-value? Group of answer choices It measures the probability that the null hypothesis i

scZoUnD [109]

Answer:

It measures the probability of observing your test statistic, assuming the null hypothesis is true.

Step-by-step explanation:

The p-value, also known as the probability value measures the probability of observing your test statistic, assuming the null hypothesis is true.

A low p-value means a higher chance of the null hypothesis to be true.

It lies between 0 and 1. A small p-value indicates fewer chances of the null hypothesis to be true.

5 0

3 years ago

The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than av

34kurt

Answer:

Probability that the 50 randomly selected laptops will have a mean replacement time of 3.1 years or less is 0.0092.

Yes. The probability of this data is unlikely to have occurred by chance alone.

Step-by-step explanation:

We are given that the replacement times for the model laptop of concern are normally distributed with a mean of 3.3 years and a standard deviation of 0.6 years.

He then randomly selects records on 50 laptops sold in the past and finds that the mean replacement time is 3.1 years.

Let M = sample mean replacement time

The z-score probability distribution for sample mean is given by;

Z = $\frac{ M-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ ~ N(0,1)

where, $\mu$ = population mean replacement time = 3.3 years

$\sigma$ = standard deviation = 0.6 years

n = sample of laptops = 50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the 50 randomly selected laptops will have a mean replacement time of 3.1 years or less is given by = P(M $\leq$ 3.1 years)

P(M $\leq$ 3.1 years) = P( $\frac{ M-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ $\leq$ $\frac{ 3.1-3.3}{\frac{0.6}{\sqrt{50} } }} }$ ) = P(Z $\leq$ -2.357) = 1 - P(Z $\leq$ 2.357)

= 1 - 0.99078 = 0.0092 or 0.92%

So, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.357 in the z table which will lie between x = 2.35 and x = 2.36 which has an area of 0.99078.

Hence, the required probability is 0.0092 or 0.92%.

Now, based on the result above; Yes, the computer store has been given laptops of lower than average quality because the probability of this data is unlikely to have occurred by chance alone as the probability of happening the given event is very low as 0.92%.

8 0

3 years ago

Ahhhh i need help again.

qwelly [4]

Answer:

Step-by-step explanation:

A. these simply to 21 + 7x and 21 + 3x

this one is incorrect because the 7x and 3x are different

B. these simplify to 10 + x and 10 + x

this is the correct one since they are exactly the same

C. these simplify to 21x and 7x + 21

these two are not the same because one expression has only a number with a variable but the other one has a number with a variable and another number

D. these simplify to $\frac{7}{3-x}$ and $\frac{7}{x-3}$

in subtraction, the order of the 3 and the x matters, so the equations are not the same
example: 6 - 4 = 2 but 4 - 6 = -2

3 0

2 years ago