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3 years ago

Explain in steps please

Mathematics

1 answer:

vivado [14]3 years ago

3 0

Answer:14

Step-by-step explanation:

x-1/2=x/4+3 multiply left and right side of equation with 4 you get:

4x-2=x+12

------------------

4x-2=x+12

4x-3x=12+2

x=14

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3.102 x 10^3 in standard form

postnew [5]

Answer:

3102x

Step-by-step explanation:

6 0

3 years ago

A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What

vladimir2022 [97]

Answer:

The perimeter of the triangle is $12\ units$

Step-by-step explanation:

Let

$A(-3,1),B(1,1),C(1,-2)$

we know that

The perimeter of triangle is equal to

$P=AB+BC+AC$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$A(-3,1),B(1,1)$

substitute in the formula

$AB=\sqrt{(1-1)^{2}+(1+3)^{2}}$

$AB=\sqrt{(0)^{2}+(4)^{2}}$

$AB=4\ units$

step 2

Find the distance BC

$B(1,1),C(1,-2)$

substitute in the formula

$BC=\sqrt{(-2-1)^{2}+(1-1)^{2}}$

$BC=\sqrt{(-3)^{2}+(0)^{2}}$

$BC=3\ units$

step 3

Find the distance AC

$A(-3,1),C(1,-2)$

substitute in the formula

$AC=\sqrt{(-2-1)^{2}+(1+3)^{2}}$

$AC=\sqrt{(-3)^{2}+(4)^{2}}$

$AC=5\ units$

step 4

Find the perimeter

$P=AB+BC+AC$

substitute the values

$P=4+3+5=12\ units$

6 0

3 years ago

Someone help me please

Bond [772]

Answer:

Step-by-step explanation:

Plug in the standard deviation formula. This is new to me but it took some research.. Hope it helps

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3 years ago

Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p

defon

Answer:

$P(X>34) = 0.9889$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 7

We are given that the distribution of random variable X is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X greater than 34)

$P( X > 34) = P( z > \displaystyle\frac{34 - 50}{7}) = P(z > -2.2857)$

$= 1 - P(z \leq -2.2857)$

Calculation the value from standard normal z table, we have,

$P(X>34) = 1 - 0.0111= 0.9889= 98.89\%$

The attached image shows the normal curve.

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3 years ago

Amy charges $12 more for 5 hours of babysitting then she dies for 3 hours of babysitting. What does Amy charge per hour of baby

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Answer:

Step-by-step explanation:

5-3

12/2

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3 years ago