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zalisa [80]
3 years ago
15

A researcher reports that the average salary of assistant professors is more than $42,000. A sample of 30 assistant professors h

as a mean salary of $43,260. At α = 0.01 test the claim that assistant professors earn more than $42,000 a year. A standard deviation of the population is $5230. Traditional Method.
(a) Identify the null and alternative hypotheses for this test.
(b) Identify the test statistic for this hypothesis test
(c) Accept or Reject the claim
Mathematics
1 answer:
alexira [117]3 years ago
4 0

Here I couldn't do this on Brainly but I made seperate pdf and did

Download pdf
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72x2 + 39x + 207 = 0​
JulsSmile [24]
The answer is x=-9



Hope this helped:)
6 0
3 years ago
Uche pumps gasoline at a rate of 18 L/min <br> what is uche pumping rate in ML/sec?
soldi70 [24.7K]
18L = 18,000 ML
18,000 (ML) ÷ 60 (seconds)
18,000 ÷ 60 = 300ML/sec
6 0
3 years ago
1.) What is the equation of the path of firework #1? Write your equation in general form.
valina [46]

1. I'm assumig that the paths are perfect parabolas

this means that their general forms can be written in y=ax^2+bx+c

it's easier to find vertex form first then expand to get general form

vertex form is y=a(x-h)^2+k where the vertex is (h,k) and a is a constant


firework #1

vertex is (10,50), so (h,k)=(10,50) and h=10, k=50

h_1=a(t-10)^2+50

to find the value of a, subsitute another point

(0,0)

0=a(0-10)^2+50)

0=100a+50

a=\frac{-1}{2}

so the equation in vertex form is h_1=\frac{-1}{2}(t-10)^2+50

expand to get general form

h_1=\frac{-1}{2}(t^2-20t+100)+50

h_1=\frac{-1}{2}t^2+10t-50+50

h_1=\frac{-1}{2}t^2+10t





2.

same as last time

vertex is (10,72) so (h,k)=(10,72) so h=10 and k=72

equation is h_2=a(t-10)^2+72

find a

use another point

(0,22)

22=a(0-10)^2+72

22=100a+72

-50=100a

a=\frac{-1}{2}

so the equation in vertex form is h_2=\frac{-1}{2}(t-10)^2+72




3.

range is the numbers that h is allowed to be

think about what h represents. it represents the height of the rocket

from the graph, we can see that the lowest possible height is 0yd and the highest height is 50yd

so range is 0 to 50 or 0≤h≤50


domain is the numbers that t is allowed to be

think about what t represents. it represents how long the rocket has been flying

it will stop flying when it hits the ground or at t=20

it starts flying at t=0

so domain is from 0 to 20 or 0≤t≤20

3 0
3 years ago
Please help, much appreciated, will give brainliest :)
DIA [1.3K]

Answer:

so if you multiple4.8 percent by 3,000 u get 144 and then u divide by 3 and that u u 48 dollars per year

7 0
3 years ago
What is the value of z
vampirchik [111]

Answer:61

Step-by-step explanation:

Z+Z-11=Z+50

2Z-11=Z+50

Collect like terms

2Z-Z=11+50

Z=61

4 0
3 years ago
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