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ra1l [238]
2 years ago
15

Which of the following statements is correct?

Mathematics
1 answer:
Montano1993 [528]2 years ago
5 0

Answer:

Systems of Equations often have infinite solutions.

Step-by-step explanation:

I don't know if there are 7 answers or what

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Which statements are true? Check all that apply.
mariarad [96]

Answer:

A, B, and C

Step-by-step explanation:

A) We can see if this is a horizontal line if its slope is 0. Slope is change in y divided by change in x, so: slope = \frac{7-7}{3-(-2)} =\frac{0}{5} =0 . Thus, this is a horizontal line and the statement is correct.

B) Any equation of the form x = k, where k is a constant, will always be a straight line. Let's see if it goes through (-8, 3) by plugging in the values of -8 in for x and 3 in for y in the equation.

Clearly, we don't have a y, so we just put in the -8 for the x: -8 = -8. Since this is a true statement, we know that x = -8 does go through (-8, 3). So, this is a true statement.

C) We can see if this is a vertical line if its slope is undefined (for example, if the denominator is 0, it's undefined). Slope = \frac{5-(-7)}{0-0} =\frac{12}{0} = undefined. So, this is a vertical line and the statement is true.

D) As a basic fact, any point on a horizontal line will have the same y coordinate. However, their x coordinates may vary. Thus, the statement is false.

So, the answers are A, B, and C.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Help me!!!!!!Brainliest!!!!!!!!
DIA [1.3K]

Answer:

D 3m - 8

Step-by-step explanation:

3 0
3 years ago
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What is 10.04 rounded to nearest tenth?
ivolga24 [154]
The next larger tenth is  10.1  .
The next smaller tenth is  10.0  .

10.04 is nearer to  10.0  than it is to  10.1  .

So the nearest tenth is  10.0  .
5 0
2 years ago
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
joey made a deposit into an account that earns 6% simple interest.After three years, joey had earned $400. How much was joey's i
Sergio [31]

Answer:

Step-by-step explanation:

To find the amount deposited, we will simply use the formula for calculating simple interest.

Simple Interest = pxrxt/100     (fraction)

Where p = principal

      R= Rate

           T= Time

Principal is the initial amount deposited which we are ask to find.

R is given to be 6%  and T is the time which is given in years

Simple interest is the interest earned over the year which is given to be $400

Lets substitute our variable into the equation

Simple Interest = pxrxt/100    (fraction)

$400  = P × 6 × 3   /     100

$400 = 18p/100    (fraction)

We will then cross multiply

$40 000  =   18 P

To get  the value of P, we divide both-side of the equation by 18

4000/18 = 18p/18     (fractions)

$2222.22 =  P

P = $2222.22

credits: ummuabdallah

3 0
3 years ago
Read 2 more answers
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