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Art [367]
3 years ago
7

In March 2007, Business Week reported that at the top 50 business schools, students studied an average of 14.6 hours. You wonder

whether the amount UMSL students study is different from this 14.6 hour benchmark. Set up the hypotheses used in this situation.
Mathematics
1 answer:
Rasek [7]3 years ago
5 0

Answer:

The hypotheses used in this situation

H_0:\mu = 14.6

H_a:\mu \neq 14.6

Step-by-step explanation:

We are given that  Business Week reported that at the top 50 business schools, students studied an average of 14.6 hours.

Mean = \mu = 14.6

Claim : The amount UMSL students study is different from this 14.6 hour benchmark.

The hypotheses used in this situation

H_0:\mu = 14.6

H_a:\mu \neq 14.6

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Pythagorean
nata0808 [166]

Answer:

5√3 ft

Step-by-step explanation:

If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:

a²+b²=c²

(5)²+b²=(10)²

25+b²=100

b²=75

b=√75

b=5√3

So the ladder will reach a height of 5√3 ft.

7 0
3 years ago
Find f(x)-g(x)<br> f(x)=7x+15 g(x)=5x-6
-BARSIC- [3]
<h3>Answer: 2x+21</h3>

=============================

Work Shown:

f(x) - g(x) = [ f(x) ] - [ g(x) ]

f(x) - g(x) = [ 7x+15 ] - [ 5x-6 ]

f(x) - g(x) = 7x+15 - 5x+6

f(x) - g(x) = (7x-5x)+(15+6)

f(x) - g(x) = 2x+21

4 0
3 years ago
Solve using the method of elimination and determine if the system has 1 solution, no solutions, or infinite solutions
xeze [42]

Answer:

(3,1) --> One solution

Step-by-step explanation:

Start by multiplying the first equation by 4:

-7x(4)+2y(4)=-19(4)

     -28x+8y=-76

In this scenario, we can eliminate 8y by subtracting the two equations:

-34x=-102

Divide both sides by -34

x=3

Plug 3 back in for x to solve for y

-7(3)+2y=-19

-21+2y=-19

Add 21 to both sides

2y=2

Divide both sides by 2

y=1

(x,y)=(3,1)

4 0
3 years ago
Read 2 more answers
Find the LCM of the pair of numbers. 6 and 9 The LCM is .
lara [203]
2 and 3 because 2 is in 6 timestable and 3 is in 9 as the lowest number
8 0
4 years ago
Read 2 more answers
As the angle θ increases to 90° the value of tan(θ)
Nutka1998 [239]

Answer:

C. increases rapidly.

Step-by-step explanation:

tan(θ) =  sin(θ)/cos(θ)

Now, when sin 90 = 1

and cos 90 = 0

so, tan(90) = 1/0 = not defined.

<em>(1/0 is infinity and its value is not defined)</em>

So, when angle θ increases to 90°, then the value of tan(θ) increases rapidly, as shown in the figure below.

5 0
3 years ago
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