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o-na [289]
3 years ago
15

the average salary for new college graduates with a job is $50,556. Every chick of the University wants to claim that it's gradu

ates earn more than that average. To test this claim, they ran and selects a hundred of their new graduates and find that their average salary is $53,200 with a standard deviation of $20,400. What conclusion should they draw?​

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

Given:

Null hypothesis: the average salary for new college graduates with a job is $50,556.

Alternative hypothesis: the graduates from a university earn more than that average.

Using the z-test:

=> Calculate the value of test statistic:

t = (mean of sample - mean of null hypothesis)/(std/sqrt(number of sample)

 = (53200 - 50556)/(20400/sqrt(100))

 = 1.296 < 1.645

=> Do not reject the null hypothesis, their graduates do not earn more than average

Hope this helps!

:)

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When f(x) = (x - 1)³ + 6(px + 4)2 is divided by x + 2, the remainder is - 3. Find the values of p.​
dexar [7]

The value for p will be equal to 3 / 4.

We have the function as:

f(x) = (x - 1)³ + 6(p x + 4) 2

f(x) = x³ - 3 x² + 3 x - 1 + 12 p x + 48

f(x) = x³ - 3 x² + 3 x ( 1 + 4 p) + 47

Now, it is divided by x + 2 and leaves a remainder -3.

This means that if we will subtract 3 from f(x), it will be perfectly divisible by x + 2.

g(x) = x³ - 3 x² + 3 x ( 1 + 4 p) + 47 - 3

g(x) = x³ - 3 x² + 3 x ( 1 + 4 p) + 44

Now put x = -2:

(-2)³ - 3 (-2)² + 3 (-2) ( 1 + 4 p) + 44 = 0

-8 - 12 - 6 ( 1 + 4 p) + 44 = 0

- 20 - 6 - 24 p + 44 = 0

24 p = 18

p = 3 / 4.

Therefore, the value for p will be equal to 3 / 4.

Learn more about function here:

brainly.com/question/4025726

#SPJ9

3 0
1 year ago
Calculate- (with work pleasee) i really need it !!<br> -0.2(x-20)=44-x
erica [24]

Answer:

x=50

Step-by-step explanation:

-0.2(x-20)=44-x

Distribute

-0.2x+4=44-x

Add x to each side

-.2x +4+x = 44-x+x

.8x+4 = 44

Subtract 4 from each side

.8x+4-4 = 44-4

.8x = 40

Divide each side by .8

.8x/.8 = 40/.8

x=50

7 0
3 years ago
Hey conic section has the equation X+Y^2+ 12X + 8y= 48 determine the following type of conic domain and range axis of symmetry a
Afina-wow [57]

Answer:

Axis of symmetry are lines x=-6 and y=-4, center  (-6,-4)

Step-by-step explanation:

Consideer the equation x^2+y^2+12x+8y=48.

First, complete perfect squares:

(x^2+12x)+(y^2+8y)=48,\\ \\(x^2+12x+36-36)+(y^2+8y+16-16)=48,\\ \\(x+6)^2+(y+4)^2-36-16=48,\\ \\(x+6)^2+(y+4)^2=100.

This equation represents a circle with center at point (-6,-4) and radius r=10.

Axis of symmetry are lines x=-6 and y=-4 (vertical and horizontal lines passing through the center).

5 0
4 years ago
Y = 2(x+2)^2 - 18Find the x intercepts
murzikaleks [220]

Answer

x=-5

and

x=1

Explanation

The equation y = 2(x+2)^2 - 18 corresponds to a translation 2 units left and 18 units down, and a and a shrinkage about the x-axis with factor 2.

Making these transformations to y=x^2, we have:

y=2(x+2)^2-18y=2(x{}^2+4x+4)-18y=2x^2+8x+8-18y=2x^2+8x-10

Factoring:

y=2(x^2+4x-5)y=2(x+5)(x-1)

The x-intercept are found when y=0, that is:

\begin{gathered} x+5=0 \\ x=-5 \end{gathered}

and

\begin{gathered} x-1=0 \\ x=1 \end{gathered}

6 0
1 year ago
Is y=1-x linear relationship ?
Grace [21]

Answer:

yes it does not curve at any point

3 0
4 years ago
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