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GrogVix [38]
3 years ago
6

Write an equation in slope-intercept form

Mathematics
1 answer:
PolarNik [594]3 years ago
6 0
OMG im suffering in this too 

but im starting to get this so lets take a look

i tried writing an equation but all i get is one so

answer is one and slope is 0 hope i could help
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A sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8. If the sample mean corre
jeka57 [31]

Answer:

The value of the sample mean is 78.

Step-by-step explanation:

We are given that a sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8.

Also, the sample mean corresponds to a z score of 2.00.

<em>Let </em>\bar X<em> = sample mean</em>

The z-score probability distribution for a sample mean is given by;

              Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean = 70

            \sigma = standard deviation = 8

            n = sample size = 4

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

<u>Now, we are given that the sample mean corresponds to a z score of 2.00 for which we have to find the value of sample mean;</u>

So, <em><u>z-score</u></em> formula is given by ;

                  z-score = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } = \frac{\bar X-70}{\frac{8}{\sqrt{4} } }

                      2.00 =  \frac{\bar X-70}{\frac{8}{\sqrt{4} } }

                      2.00 =  \frac{\bar X-70}{4 } }

                     \bar X = 70+(2 \times 4)

                     \bar X = 70 + 8 = 78

<em>Therefore, the value of the sample mean is 78.</em>

3 0
3 years ago
What is the value of the discriminant for the quadratic equation –3 = –x^2 + 2x?
ANTONII [103]
A. -8 Because there’s a negative in -4ac
5 0
3 years ago
Jamey wanted to understand whether students at her school were in favor of an extended school day. She surveyed some students an
charle [14.2K]
Table

<span>               In favor    Opposed Undecided
Grade 9      5              3                9
Grade 10    8            12                9
Grade 11  15            16               10
Grade 12  12              6                11

Probability = number of positive outcomes / number of possible outcomes

Probability that a student in grade 9 is in favor of extending the school day =

number of students in 9 grade in favor / number of students in grade 9

number of students in 9 grade in favor = 5

number of students in 9 grade = 5 + 3 + 9 = 17

Probability = 5 / 17

Answer: 5 / 17
</span>
6 0
3 years ago
Read 2 more answers
Two students are asked to come to the board to work a math problem. Each student could work an easy question (E) or a hard quest
irakobra [83]

Answer:E

Step-by-step explanation:

6 0
3 years ago
Define two variables. Write a system of equations, and then solve.
abruzzese [7]

Answer:

Step-by-step explanation:

Assume that the amount needed from the 5% acid is x and that the amount needed from the 6.5% acid is y.

We are given that:

The volume of the final solution is 200 ml

This means that:

x + y = 200

This can be rewritten as:

x = 200 - y .......> equation I

We are also given that:

The concentration of the final solution is 6%

This means that:

5%x + 6.5%y = 6% (x+y)

This can be rewritten as:

0.05 x + 0.065 y = 0.06 (x+y) ............> equation II

Substitute with equation I in equation II and solve for y as follows:

0.05 x + 0.065 y = 0.06 (x+y)

0.05 (200-y) + 0.065 y = 0.06 (200-y+y)

10 - 0.05 y + 0.065 y = 12

0.015y = 12-10 = 2

y = 2/0.015

y = 133.3334 ml

Substitute with the y in equation I to get the x as follows:

x = 200 - y

x = 200 - 133.3334

x = 66.6667 ml

Based on the above calculations:

The amount required from the 5% acid = x = 66.6667 ml

The amount required from the 6.5% acid = y = 133.3334 ml

7 0
3 years ago
Read 2 more answers
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