Answer:
Step-by-step explanation
Hello!
Be X: SAT scores of students attending college.
The population mean is μ= 1150 and the standard deviation σ= 150
The teacher takes a sample of 25 students of his class, the resulting sample mean is 1200.
If the professor wants to test if the average SAT score is, as reported, 1150, the statistic hypotheses are:
H₀: μ = 1150
H₁: μ ≠ 1150
α: 0.05
![Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~~N(0;1)](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7BX%5Bbar%5D-Mu%7D%7B%5Cfrac%7BSigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D%20~~N%280%3B1%29)
The p-value for this test is 0.0949
Since the p-value is greater than the level of significance, the decision is to reject the null hypothesis. Then using a significance level of 5%, there is enough evidence to reject the null hypothesis, then the average SAT score of the college students is not 1150.
I hope it helps!
Answer:
I will answer in a general way because the options are not given.
We know that the area of model A is smaller than the area of model B.
For model A, we have 72 shaded sections, out of 100.
Then the quotient of model A is:
72/100 = 0.72
For model B we have 10 sections, and x shaded ones.
Because model B is greater than model A, we know that:
x/10 should be larger than 72/100
then we have the inequality:
x/10 > 0.72
x > 0.72*10
x > 7.2
And we can not have more than 10 shaded sections (because there is a total of 10 sections) then:
10 ≥ x > 7.2
Then x can be any whole number in that interval.
the possible values of x are:
x = 8
x = 9
x = 10
Answer:
x=3i-2,x=-3i-2
Step-by-step explanation:
x+2=
= x=3i-2,x=-3i-2
Hoped this helps you!! :D
Answer=24 blue marbles and 3 red marbles
r=red marbles
b=blue marbles
b=3(r+5)
27=b+r
substitue b for '3(r+5)'
27=3(r+5)+r
27=3r+15+r
27=4r+15
subtract 15 from both sides
12=4r
divide both sides by 4
3=r
There are 3 red marbles
27=b+r
27=b+3
subtract 3 from both sides
24=b
There are 24 blue marbles
Perimeter formula
p = 2l + 2w
I reverse left-right side
2l + 2w = p
Move 2l to the right
2l + 2w = p
2w = p - 2l
Move 2 to the right
2w = p - 2l
w = (p - 2l)/2
Summary
p = 2l + 2w
2l + 2w = p
2w = p - 2l
w = (p-2l)/2
