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Sidana [21]
3 years ago
13

A school counselor heard that teenagers sleep an average of 9 hours per night on the weekend. The counselor

Mathematics
1 answer:
Katen [24]3 years ago
7 0

Answer:

H0​:μ=9 hours Ha​:μ not equal to 9 hours​

Step-by-step explanation:

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A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the
Vikki [24]

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.

8 0
3 years ago
{ x + y = -2<br> { x - y = -8
g100num [7]

Answer:

(-5, 3)

Step-by-step explanation:

Elimination seems like the best method to use here.

x+y=-2

x-y=-8

---------

2x=-10

Divide everything by two

x=-5

Now plug it back into one of the original equations,

-5+y=-2

Add 5 to everything

y=3

7 0
3 years ago
Read 2 more answers
In the figure above, the vertices of quadrilateral A B C D lie on the sides of quadrilateral P Q R S. What is the sum of the deg
Aleks04 [339]
The vertices of the quadrilateral ABCD lie on the sides of quadrilateral PQRS then the sum of the degree of measures of the eight indicated angles would be 360.
7 0
3 years ago
Five years ago, John's age was half of the age he will be in 8 years. How old is he now?
Alexus [3.1K]
Answer:
26 year old

Step by step explanation:
Five years ago, John's age was half of the age he will be in 8 years.
this means that (x-5) = (x+8)/2
-----
solving for x, we get:
2 * (x-5) = x + 8
which becomes:
2x - 10 = x + 8
which becomes:
x = 18
-----
john is 18 years old now.
5 years ago john was 13
8 years from now john will be 26
13 = 1/2 * 26
4 0
3 years ago
Read 2 more answers
For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)?
mr Goodwill [35]

Answer:

D

Step-by-step explanation:

The factor theorem states if (x - h) is a factor of a polynomial p(x) then

p(h) = 0

However, p(h) ≠ 0 then the value obtained is the remainder.

Thus

p(3) = - 2

When p(x) is divided by (x - 3) then the remainder is - 2

8 0
3 years ago
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