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Assoli18 [71]
3 years ago
7

-7x-y=13 8x+y=-14 what is the answer?

Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0
So i am guessing that those are two different equations so for the equation:
-7x-y=13 your answer is x= \frac{-1}{7}y  + \frac{-13}{7}. How is this?
Well you have to add y to both sides of the equation so it would look like this:-7x-y+y=13+y and so when you add it up it will look like this:-7x=y+13 notice that the negitive y became a positive and went to the other side of the equation. So now what? well know you can divide by -7 so like this:\frac{-7x}{-7} + \frac{y+13}{-7} so then once you do all of that your answer becomes:x=\frac{-1}{7}y+  \frac{-13}{7}.

Now for your second equation and just look in the attachment it is explained in written from not text XD. Good Luck~!

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A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m
arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, <em>p</em> = 0.13.

The sample of employed individuals selected is of size, <em>n</em> = 225.

An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

  • np ≥ 10
  • n (1 - p) ≥ 10

Check the conditions as follows:

np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10

The distribution of the proportion of individuals who hold multiple jobs is,

p\sim N(p, \frac{p(1-p)}{n})

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0
3 years ago
Write this number in expanded form using fractions and decimals 0.362
dalvyx [7]
0.362=

0.3+0.06+0.002
and
362/1000
and
0.362
3 0
2 years ago
Read 2 more answers
What is 2 3/5 multiplied by 2 as a mixed number or fraction
vivado [14]

Answer:

26/5 or 5 1/5

Step-by-step explanation:

First convert 2 3/5 into an improper fraction:  13/5.

Then multiply this result by 2:  2(13/5) = 26/5.  This is the answer as an improper fraction.

26/5 as a mixed number would be 5 1/5.

6 0
3 years ago
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinate
DochEvi [55]

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

8 0
3 years ago
Linn is making cookies. Each batch of cookies
Pachacha [2.7K]

Answer:

4 cups of sugar require 14 cups of sugar

Step-by-step explanation:

Given

\frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar

Required

Determine the cups of flour for 4 cups of sugar

First, we need to determine the unit rate for 1 cup of sugar.

This is done by multiplying both sides by 4

4 * \frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar * 4

\frac{7}{2}\ cup\ flour = 1\ cup\ sugar

Next, we determine cup of flour for 4 cups of sugar.

This is done by multiplying both sides by 4

4 * \frac{7}{2}\ cup\ flour = 1\ cup\ sugar * 4

2 * 7\ cup\ flour = 4\ cup\ sugar

14\ cup\ flour = 4\ cup\ sugar

<em>Hence;4 cups of sugar require 14 cups of sugar</em>

8 0
3 years ago
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