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:
1. y = 7x. This is an example of direct variation as the value of y also increases if the value of x is increased.
2. xy = 24. This is an example of inverse because the value of y is decreased when x is increased.
3. F = 4/R. This is inverse variation for the same reason as number 2.
4. m/n = 4. Direct variation. For the same reason as number 1.
5. i = 2pr. Joint variation. The value of i is dependent on the values of two other variables.
6. R = cl/r². Joint variation.
7. A = pir². Direct variation. I believe pi here is for π, leaving only A being dependent only to value of r.
8. V= pir²h. Joint variation.
Step-by-step explanation:
Answer:
6x-y = -18
Step-by-step explanation:
The shape of the cross-section formed when a plane containing line AC and line EH intersects the cube is a rectangle.
<h3>What is the explanation for the submission above?</h3>
Note that the Area of the cross-section = 16 sqrt(2) = 22.63 sq. units. The justification for this is the properties of the Cubes.
- The top face ABCD is parallel and congruent to the bottom face EFGH....(A)
- Also, sides AE and CH are perpendicular to faces ABCD and EFGH ....(B)
Mathematically, we can righty state that Diagonals AC and EH are congruent .....(C)
Given the justification by (A), congruent top and bottom faces, let us look at the cross-section ACHE.
AC is congruent and parallel to EH (A) & (C)
EA & HC are perpendicular to AC (B)
Hence, the quadrilateral ACHE is a rectangle.
Step 2
Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2) Pythagoras theorem.
AE = CH = DG = 4 We state this because the of the properties of cube, all sides equal;
Hence, the Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2)
= 22.63 sq. units
Learn more about Cuboids at:
brainly.com/question/1972490
#SPJ1
Answer:
y = 2x
Step-by-step explanation:
Claire is hungry. She buys 2 donuts each costing x $. How much should she pay?
Since one donut costs x $ 2 donuts cost 2x $.
Therefore, total amount Claire should pay, call it y = 2x.
Hence, we have y = 2x.
