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Fittoniya [83]
2 years ago
7

The table represents a linear function. A two column table with six rows. The first column, x, has the entries, negative 2, nega

tive 1, 0, 1, 2. The second column, y, has the entries, negative 2, 1, 4, 7, 10. What is the slope of the function? –3 –2 3 4
Mathematics
2 answers:
Radda [10]2 years ago
8 0

Answer: The slope is 3

Step-by-step explanation:

For each unit of run in the x-values, there is an increase of 3 in the y-values. Slope is Rise over Run so 3/1 = 3

AURORKA [14]2 years ago
8 0

Answer:

3

Step-by-step explanation:

I took the test...

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A man has 28 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 520 cents, how many d
nordsb [41]
Assuming x = dimes, y = quarters

x + y = 28 \\ 0.1x + 0.25y = 5.20

x + y = 28 \\ x = 28 - y

Substitute that into,
0.1(28 - y) + 0.25y = 5.20 \\ 2.8 - 0.1y + 0.25y = 5.20 \\0.15y = 2.4 \\ y = 16

Answer : He has 16 quarters.

Hope this helps. - M
5 0
2 years ago
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. Wh
Gekata [30.6K]

Answer:

not choosing all mysteries

Step-by-step explanation:

The complement of an event is the remaining possibilities.

Our event is Mariah choosing 3 mysteries.

The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.

7 0
2 years ago
Read 2 more answers
Malik's solution to the equation , when , is shown below. What error did Malik make first when solving the equation ? Malik did
Marianna [84]

Answer:

Malik substituted 60 for y instead of x.

Step-by-step explanation:

According to the given situation the computation of error that Malik make first when solving the equation is shown below:-

First, we will find the value of x

\frac{2}{5} x - 4(60) = 10

\frac{2}{5} x = 10 + 240

\frac{2}{5} x = 250

x = 625

Now, we have

\frac{2}{5} x - 4 y = 10

we will solve the above equation, to find the value of y

24 - 4y = 10

4y = 24 - 10

4y = 14

y = \frac{14}{4}

y = \frac{7}{2}

So, from the above calculation, the correct option is

Malik substituted 60 for y instead of x.

3 0
2 years ago
Read 2 more answers
The average weight of a chicken egg is 2.25 ounces with a standard deviation of 0.2 ounces. You take a random sample of a dozen
n200080 [17]

Answer:

P(\bar X

P(\bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(2.25,\frac{0.2}{\sqrt{12}})

Solution to the problem

We want this probability:

P(\bar X

The best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\bar X

P(\bar X

5 0
2 years ago
This table represents a quadratic function. x y 0 -3 1 -3.75 2 -4 3 -3.75 4 -3 5 -1.75 What is the value of a in the function’s
serg [7]

Answer:

a = 0.25

Step-by-step explanation:

Our strategy to solve this problem will be to use the information given in the table to obtain  first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations  and solve for the coefficients a and b as follow:

from x=0 and y=-3   a*0 + b* 0 + c = - 3

c = -3

from x=1 and  y= -3.75

a*(1) + *(1) + (-3) = -3.75

a + b = -3.75 + 3 = -0.75

from x= 2 and y = -4

a* (2)^2 + b*(2) + (-3) = -4

4a + 2b = -4 +1

4a + 2b = -1

Now we can solve the system f equations by elimination:

a + b = -0.75

4a + 2b = -1

multiply first equation by -2 and add to the second and  get

-2a - 2b = +1.50

4a + 2b = -1

2a = 0.50 and substituting into any of the equations get b =  -1

so the quadratic equation has a= 0.25 b= -1  c= -3

we can even  plug the any of the other values for  x given in the table and check the answer.

8 0
2 years ago
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