Answer:
a
The student does have enough evidence to refute the college claim
b
The null hypothesis is [tex]H_o : \mu \le 32[/tex]
The alternative hypothesis is [tex]H_a : \mu > 32[/tex]
Step-by-step explanation:
From the question we are told that
The average class size is [tex]\mu = 32[/tex]
The sample size is [tex]n = 40[/tex]
The sample mean is [tex]\= x = 34.8[/tex]
The standard deviation is [tex]\siigma = 99[/tex]
The significance level is [tex]\alpha = 0.10[/tex]
The null hypothesis is [tex]H_o : \mu \le 32[/tex]
The alternative hypothesis is [tex]H_a : \mu > 32[/tex]
Generally the test statistics is mathematically represented as
[tex]z =\frac{\= x - \mu}{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]z = \frac{34.8 - 32}{ \frac{99 }{\sqrt{99} } }[/tex]
=> [tex]z = 0.1789 [/tex]
Generally the p-value is mathematically represented as
[tex]p- value = P (Z > 0.1789)[/tex]
From the z- table
[tex] P (Z > 0.1789) =0.42901 [/tex]
So
[tex]p- value = 0.42901 [/tex]
So from the calculation we can see that [tex]p- value > \alpha[/tex] so we fail to reject the null hypothesis
This means that the student does not have enough evidence to refute the college claim
Eight more than twice a number is four less than the same number
Answer:idk
Step-by-step explanation:
What ratios are equivalent to 27:9
Answer:
3:1,
Step-by-step explanation:
because if you multiple 3x9=27, and 1x9=9 you get 27:9
Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make a pillow and 3 yards to make curtains how much fabric is remaining
Answer:
3 yards
Step-by-step explanation:
8 1/2 - 2 1/2 = 6
6 - 3 = 3
Your answer is 3.
Please mark as brainliest.
complete the division. The quotient is 3x^2+__x+__.
Answer: 3x^2+ -2x+5. I hope this helped
Step-by-step explanation:
PLZZ HELP Will give brainlist plz help its for my 9 week exam
Which property of addition is demonstrated in Step 1 of the problem solution shown below?
A. Associative Property
B. Commutative Property
C. Distributive Property
D. Identity Property
Answer:
Its commutative property
Step-by-step explanation:
It means u can move stuff around so ya
Joe told Mickey he got an hourly raise at work and his new rate will be $10.25 per hour. Mickey wants to know what Joe’s hourly rate was before his raise. If r represents the amount of the raise, which expression represents Joe’s hourly rate before his raise?
r minus 10.25
10.25 minus r
10.25 + r
r + 10.25
Answer:
10.25 minus r
Step-by-step explanation:
because amount of money minus how much the raise was equals what he had before.
Answer:
✨b✨
Step-by-step explanation:
Minerva is trying to estimate v 55. She uses this table of values:
Square 7.02 7.12 7.22 7.32 7.42 7.52
Value
49.0 50.4 51.8 53.3 54.8 56.3
Square 7.62 7.72 7.82 7.92 8.02
Value
57.8 59.3 60.8 62.4 64.0
What should she do next to find 55 to the nearest hundredth?
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Test!
Suppose our retirement account pays 9% apr compounded monthly; what size nest egg do we need in order to retire with 25 years that yields to $5,000 per month? Show all work
Answer:
$595,808.11
Step-by-step explanation:
We assume the retirement account is intended to pay out $5000 per month for 25 years. The amortization formula can be used to find the required amount. The monthly payment A based on principal P with interest at annual rate r for t years satisfies the relation ...
A = P(r/12)/(1 -(1 +r/12)^(-rt))
P = A(12/r)(1 -(1 +r/12)^(-rt))
P = 5000(12/0.09)(1 -(1 +.09/12)^-300)
P = $595,808.11
The required nest egg is $595,808.11.
A company estimates that 0.7% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $350. If they offer a 2 year extended warranty for $48, what is the company's expected value of each warranty sold?
Answer:
$44.90
Step-by-step explanation:
The resulting value for the company of replacing a failed product is given by the price of the warranty minus the cost of replacement:
F = $47-$300=-$253
This event has a 0.7% chance of happening.
The resulting value for selling extended warranty to a product that does not fail is given by the price of the warranty:
W = $47
This event has a 99.3% chance of happening.
The expected value is:
EV = $44 * 0.993 + ($47-$300) *0.007
EV = $44.90
The expected value for each warranty sold is $44.90.
1/2x plus 12 = 8x Please help me!
Answer:
8/5=x
Step-by-step explanation:
1/2x+12=8x
Subtract 1/2x from both sides
12=15/2x
Multiply 2/15 on both sides
8/5=x
The graph of y=|x−1|+ 7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?
Answer:
y = |-x-1| + 8.
Step-by-step explanation:
A reflection across the y axis gives the equation y = |-x -1| + 7.
Then a translation up 1 unit gives the equation y = |-x-1| + 8.
y = 3 in two variable
Step-by-step explanation:
If Y = 3 is treated as an equation in one variable, then it has a unique solution y= 3. So it is a point on the number line. Given equation Y equal to 3 can be written as 0. x + y = 3, which is a linear equation in two variables x and y.
Which equation has a pair of equivalent ratios?
Answer:
Option (3)
Step-by-step explanation:
If the two ratios are equivalent then the value of the ratios will be equal.
[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]
Option (1)
[tex]\frac{11}{12}=\frac{44}{46}[/tex]
Simplified form of the fraction [tex]\frac{44}{46}[/tex] is,
[tex]\frac{44}{46}=\frac{22}{23}\times \frac{2}{2}=\frac{22}{23}[/tex]
Therefore, [tex]\frac{11}{12}=\frac{22}{23}[/tex]
Which is not true,
Therefore, option (1) doesn't show the equivalent ratio.
Option (2)
[tex]\frac{36}{40}=\frac{4}{9}[/tex]
Simplified form of [tex]\frac{36}{40}[/tex] is,
[tex]\frac{36}{40}=\frac{9}{10}\times \frac{4}{4}=\frac{9}{10}[/tex]
Therefore, [tex]\frac{4}{9}= \frac{9}{10}[/tex]
Which is not true.
Therefore, option (2) doesn't show the equivalent ratio.
Option (3)
[tex]\frac{1.5}{3}=\frac{12}{24}[/tex]
Since simplified form of [tex]\frac{1.5}{3}[/tex] is,
[tex]\frac{1.5}{3}=0.5[/tex]
And simplified form of [tex]\frac{12}{24}[/tex] is,
[tex]\frac{12}{24}=0.5[/tex]
Therefore, [tex]\frac{1.5}{3}=\frac{12}{24}=0.5[/tex]
Option (3) shows the equivalent ratios.
Option (4)
[tex]\frac{8}{12}=\frac{4}{24}[/tex]
Since, [tex]\frac{8}{12}=\frac{2}{3}\times \frac{4}{4}=\frac{2}{3}[/tex]
And [tex]\frac{4}{24}=\frac{1}{6}\times \frac{4}{4}=\frac{1}{6}[/tex]
But [tex]\frac{2}{3}\neq \frac{1}{6}[/tex]
Therefore, equation in this option doesn't show the equivalent ratios.
5. A man purchased a sewing machine for ₹1250 and spent ₹250 on its transportation. He sold it for ₹1600. Find his profit percent.
Answer:
COST PRICE=1250+250=1500
SELLING PRICE=1600
GAIN=1600-1500=100
GAIN PERCENT=>
Step-by-step explanation:
I HOPE ITS HELP YOU
In crest view middle school, 12 out.of 16 students are right handed. If there are 400 students in the school, how many are right handed?
I WILL GIVE BRAINLIEST
Can someone help me out with this??
Answer:
record time
Step-by-step explanation:
code word is record time
Answer: R E C O R D T I M E
Step-by-step explanation:
first u start, they you go to the 2 path, then you reach R Which is 4 so you go in the 4 path then to to the E path, which is 1 so you go down to the C path, then after that its equales -1 so then you go to the o path the answer is -6 so you got to that path R, then it equals -4 so then u go to the D path then after that u would go to the T path then after that u go to the I path cause it equals -7 then head to M cause it equals -8 the finish E
Robert I'm $10 which was 4less than twice which Eric earned how much money did Eric earn
Answer: Eric earned $7
Step-by-step explanation:
Let's define:
R = money that Robert earned.
E = Money that Eric earned.
Now we want to find how much money did Eric earn.
We know that:
R = $10 = 2*E - $4
Whit this equation, we can find the value of E. So we must isolate the variable E in one side of the equation:
2*E = $10 + $4 = $14
E = $14/2 = $7
Eric earned $7
5/9 is rational or irrational
Which choice is equivalent to the expression below? √-49
btw its 7i
Answer:
7
Step-by-step explanation:
What is .82 written as a percent?
-8.2%
- 82%
-820% ANSWER QUICK PLS
Answer:
82
Step-by-step explanation:
get rid of dicemal
Answer: 82%
0.82 as a percent can be written as 82%. Just make 0.82 into an 82%.
0.82 as a fraction can be 82/100.
The answer to the question is 82%.
Hope this helps you!
Alta dove 9 meters below the ocean’s surface. She then dove 15 meters deeper. She then rose 19 and one-fourth meters. What was her position in relation to the surface of the water?
Answer: -4 3/4
Step-by-step explanation:
Above is the answer if you have a drop down menu, because I have a drop down menu.
Answer:
B
Step-by-step explanation:
i got it right
4
X,
f(x) = (2x -6,
{
x < 2
x > 2
8. f(-2) =
9. f(3) =
10. f(5) =
Answer:
Step-by-step explanation:
Hope it helps
each morning max walks to school. at 8:20, he passes a stoplight that is 2 blocks from home. He reaches the town library at 8:24. At this point, he is 3 blocks from school and halfway there. If Max walks at the same pace all the way to school, at what time does he arrive at school?
Answer:
8:36
Step-by-step explanation:
If he is at his halfway point at 8:24 and it only took him 4 minutes to get one block in than it would take him 12 minutes to get 3 blocks in and if you add 12 more minutes to the time that he's at right now than he would arrive at 8:36.
Hope this helps. Give 412937691 the brainliest.
Helppppppppppp?????!!!!!!
which list shows the triangles in order from greatest area to least area
Answer:
H - Triangle Z, Triangle X, Triangle Y
Step-by-step explanation:
Triangle X area = rad(66.5) cm^3 ≈ 8.155cm^3
Triangle Y area = 8.15cm^3
Triangle Z area = (17.5/2)cm^3 = 8.75cm^3
8.75cm^3 > 8.155cm^3 > 8.15cm^3
Therefore:
Triangle Z area > Triangle X area > Triangle Y area
1. Sebastian lived in France and Canada for a total of 21 months in order to learn French. He learned an average of
150 words per month when he lived in France, and an average of 210 words per month when he lived in Canada. In
total he leamed a total of 3,450 new words.
How long did Sebastian live in France? How Long did he Live in Canada?
Answer:
Step-by-step explanation:
He took 21 months in total.
150 per month in France and 210 per month in Canada
So, He learned in France in 10 months and canada in 11 months
Name the slope and one point that is on the line
represented by the equation: x = -2
A) m = undefined and point (-2,5)
B) m = 0 and point (-2,4)
C) m = undefined and point (5,-2)
D) = zero and point (5,0)
Answer: Choice A
m = undefined
point (-2,5)
==================================================
Explanation:
The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)
Another point on this line is (-2,5) since this also has x coordinate -2.
------------------
All vertical lines have undefined slope.
Let's pick two points such as (-2,0) and (-2,1) and find the slope through them
m = (y2-y1)/(x2-x1)
m = (1-0)/(-2-(-2))
m = (1-0)/(-2+2)
m = 1/0
m = undefined, since we cannot divide by zero.
Lesson 3 Practice Problems Ratios
Answer:
1. 6 to 2 and 9 to 3
2. Any ratio that is not equivalent to 3 to 1. For example, 4 to 11.
Step-by-step explanation:
Please hurry it’s urgent Thank you
Answer:
D
Step-by-step explanation:
the answer is the graph on the bottom right corner, 400 pages on the y axis and 16 days on the x axis. 25 pages a day.
hope this helped!
What does
non-proportional and
proportional
Answer: i don’t understand the question... are you asking what eacg of them mean?
Step-by-step explanation:
Answer:Proportional: ... How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.
Step-by-step explanation: