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3 years ago

Use the given information to answer the question.

Mathematics

1 answer:

iragen [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Comparing Point P and P' by getting any coordinate.

we will take x coordinate

P has x-coordinate 2 while P' has x-coordinate 8

To find the scale factor, we will divide them

=8/2 gives 4 so the scale factor is 4 this means that rectangle PQRS is dilated 4 times of its perimeter.

So,

Perimeter of P'Q'R'S'= 16 × 6 = 64

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Use elimination to solve the system of equations. –8x – 12y = 104 10x + 12y = –124

swat32

Answer:

x = 10

Step-by-step explanation:

7 0

3 years ago

Please help me i’m failing

tatiyna

A. 2x - 3y is the answer

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3 years ago

A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed wi

Sergeeva-Olga [200]

Answer:

The lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 50

We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.

Formula:

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

We have to find the value of x such that the probability is 0.06.

P(X > x) = 6% = 0.06

$P( X > x) = P( z > \displaystyle\frac{x - 500}{50})=0.06$

$= 1 - P( z \leq \displaystyle\frac{x - 500}{50})=0.06$

$=P( z \leq \displaystyle\frac{x - 500}{50})=1-0.06=0.94$

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

$P(z < 1.555) = 0.94$

$\displaystyle\frac{x - 500}{50} = 1.555\\x = 577.75$

Hence, the lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.

5 0

3 years ago

.........................

Zigmanuir [339]

Answer:

Step-by-step explanation:

given 3xy + 4yz + 8xz = 10

subtract 8xz from both sides leaving the terms in y together

3xy + 4yz = 10 - 8xz

take out the common factor y on the left side

y(3x + 4z) = 10 - 8xz

divide both sides by (3x + 4z)

y = $\frac{10-8xz}{3x+4z}$ → A

5 0

3 years ago

Anne's potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne ne

Ierofanga [76]

Answer:

3.5 pounds for 14 people

Step-by-step explanation:

Given

1 pound = 4 people

Required

Determine the pounds for 14 people

Represent this with x; so, we have:

$1\ pound = 4\ people$

$x = 14\ people$

Cross Multiply

$x * 4 = 1 * 14$

$4x = 14$

Solve for x

$x = 14/4$

$x = 3.5$

Hence, 3.5 pounds for 14 people

6 0

3 years ago