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Mandarinka [93]
3 years ago
11

Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of

Z when X equals four and Y equals nine
A: 2/3

B: 16/3

C: 8/3

D: 24
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Set up the equation

z = \frac{kx^2}{y}

Plug in the numbers to find the value of k

3 = \frac{k(2^2)}{4}

12 = 4k

3 = k

Solve to find the value of z

z = \frac{3(4^2)}{9}

z = \frac{3(16)}{9}

z = 48/9

z = 16/3

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Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time f
alexandr1967 [171]

Answer:

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

-1. 34

0.1837

Step-by-step explanation:

Full time :

n1 = 125

x1 = 2.7386

s1 = 0.65342

Part time :

n2 = 88

x2 = 2.8439

s2 = 0.49241

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

Test statistic :

The test statistic :

(x1 - x2) / sqrt[(s1²/n1 + s2²/n2)]

(2.7386 - 2.8439) / sqrt[(0.65342²/125 + 0.49241²/88)]

−0.1053 / sqrt(0.0034156615712 + 0.0027553)

-0.1053 /0.0785554

= - 1.34

Test statistic = - 1.34

The Pvalue :

Using df = smaller n - 1 = 88 - 1 = 87

Pvalue from test statistic score ;

Pvalue = 0.1837

Pvalue > α ; We fail to reject the null and conclude that the GPA does not differ.

At α = 0.01 ; the result is insignificant

6 0
2 years ago
HELLPPPPPPPPPPPPPPPPP
forsale [732]

Answer:

y=-1/3x-8

Step-by-step explanation:

Here is the equation for slope-intercept form: y=mx+b

Ok first, let's find the y intercept, which is equal to b in slope-intercept form.

To find the y intercept, we need to look at the y axis. It is the point where the line touches it. The graph shows that the line touches the y axis at -8, so that is the y intercept, (0, -8).

Now, from that point, we need to find the slope, which is equal to m in slope-intercept form.

To find the slope, start on the point that you are on, which should be the y intercept, and count how many spaces you need to go up or down, and then left or right until you get to any other point on the line. These are called the rise (change in y) and run (change in x) respectively. The slope is equal to the rise over the run, or rise/run.

In this case, we can choose any point on the line that is shown on the graph that isn't the y intercept. I'll chose the point on the right nearest to the y intercept. From the point we are on, which is (-8,0), we will need to move one space down and three to the right.

One space down on the y axis is -1, and three spaces to the right on the x axis is +3, so our slope will be -1/+3, which is -1/3.

Let's go back to the slope-intercept form. y=mx+b. Now we can plug our information in.

We know the y intercept is -8, which is b,

and we know the slope is -1/3, which is m.

So substituting for b and m, we get y=-1/3x-8.

6 0
3 years ago
Help please I really need help put 1234 when your Answering them
Arturiano [62]
1.) 168 inches

2.) 96 inches
3 0
3 years ago
Write an equation in slope-intercept form for the line that goes through points (1.4, 0) and (1, –2).
RUDIKE [14]

Answer:

y=5x-7

Step-by-step explanation:

1. find slope

<u>-2-0</u>

1-1.4

is 5

2. find y intercept

y-0=5(x-1.4)

y=5x-7

4 0
2 years ago
Read 2 more answers
if someone says that an investment had a rate of return of %10 why does it matter if the person means a nominal rate of return o
Nutka1998 [239]

Answer:

The correct option is c.)

Step-by-step explanation:

If someone says that an investment had a rate of return of 10% It matters if the person means a nominal rate of return or a real rate of return because real rates take inflation into account. Nominal rates are not adjusted for inflation. Nominal rates of return usually appear to be higher than the real rates of return.

Therefore the correct option is c.)

4 0
3 years ago
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