Answer:
The null and alternative hypothesis for this study are:
[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]
The null hypothesis is rejected (P-value=0.004).
There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]
The significance level is 0.05.
The sample has a size n=150.
The sample mean is M=18200.
The standard deviation of the population is known and has a value of σ=1400.
We can calculate the standard error as:
[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624[/tex]
This test is a left-tailed test, so the P-value for this test is calculated as:
[tex]P-value=P(z<-2.624)=0.004[/tex]
As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
If you are given the coordinates of A, B, C, and D, how could you prove that ABCD is a rectangle?
A. Use the slope formula to show that AB∥CD, BC∥AD, AC⊥BD.
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.
C. Use the distance formula to show that AB = CD, BC = AD, and use the midpoint formula to show that the midpoint of AC and the midpoint of BD are the same point.
D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.
E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.
Answer:
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.Step-by-step explanation:
Your question does not say, "check all that apply," but I see three possible answers.
A -- can be ruled out because the diagonals of a rectangle are not necessarily perpendicular. This will show the figure is a rhombus.
B -- When both pairs of opposite sides are the same length, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
C -- When opposite sides are the same length, the figure is a parallelogram. The diagonals of any parallelogram will have the same midpoint.
D -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with a right angle must be a rectangle.
E -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
_____
Additional comment
My favorite method is to show AC = BD and their midpoints are the same. The midpoints of the diagonals being the same makes it a parallelogram, and the same-length diagonals makes the parallelogram a rectangle.
fourteen less then the product of five and nine in numerical expression
pls help
Answer:
( 5 x 9 ) - 14
Which equals 31
Answer:
31
Step-by-step explanation:
5 x 9- 14 is 31
The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha
Answer:
a) Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
b) The test statistic
|t| = |-3.33| = 3.33
c) P - value lies between in these intervals
0.001 < P < 0.005
Step-by-step explanation:
Step( i ):-
Given data the Population mean 'μ' = 5.5
The small sample size 'n' = 16
The sample mean (x⁻) = 5.25
Given the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.
Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
Level of significance ∝ = 0.01
Step(ii):-
The test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]
On calculation , we get
t = -3.33
|t| = |-3.33| = 3.33
Step(iii):-
P - value
The degrees of freedom γ = n-1 = 16-1 =15
The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005
0.001 < P < 0.005
Condition(i)
P - value < ∝ then reject H₀
Condition(ii)
P - value > ∝ then Accept H₀
we observe that 0.001 < P < 0.005
P- value < 0.01
we rejected H₀
(or)
The tabulated value = 2.60 at 0.01 level of significance with '15' degrees of freedom
The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom
The null hypothesis is rejected
Conclusion:-
Accepted Alternative hypothesis H₁
The Claim that the true average is smaller than 5.5
Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represents the situation if j represents the number of hits Jason had?
46 minus 20 less-than 2 j
2 j minus 20 less-than-or-equal-to 46
46 minus 20 less-than-or-equal-to 2 j
2 j minus 20 greater-than-or-equal-to 46
Answer:
2j -20 ≤ 46
Step-by-step explanation:
"20 less than double the number Jason [hit]" can be represented by 2j-20.
We are told that 46 is no fewer than this value, so it is greater than or equal to this value:
46 ≥ 2j -20
2j -20 ≤ 46 . . . . . swapping sides to match answer choices
Answer:
2j -20 ≤ 46
Step-by-step explanation:
Describe a free market economy
Answer:
soviet russia
Step-by-step explanation:
just kidding
The free market is an economic system based on supply and demand with little or no government control. ... Based on its political and legal rules, a country's free market economy may range between very large or entirely black market
Countries that have a market economy are Mexico, United States, United Kingdom, Germany, and Canada . These countries have a market economy because the prices of goods and services are set by supply and demand
A spinner is divided into 8 equal sections numbered 1 to 8. About how many times would you expect the pointer to land on a number less than 6 if the pointer is spun 30 times.
Answer:
The answer is
6.25×30= 18.75
I'm not sure but this is what I think
which is equivalent to sin^-1 ( sqrt 3/2 )? Give your answer
Give your answer in radians.
Answer: pi/3
Step-by-step explanation:
correct on edge 2020
The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric relation be represented as A
Now , the value of A is
sin⁻¹ ( √3/2 ) = θ
Now , the value of θ is calculated by
In a triangle , sin θ = opposite / hypotenuse
So , sin θ = √3/2
The value of θ = 60°
So , the measure of 60° in radians is θ = π/3
Hence , the value of θ from the trigonometric relation is π/3
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please answer these, it is urgent
Answer: 1 is D
2 is c
Step-by-step explanation:
if Logan(3)=5, what is the value of a^5?
Answer:
[tex]a^5=3[/tex]
Step-by-step explanation:
When it comes to exponential expressions and logarithms, the following relationship applies:
[tex]\log_b{(x)}=a\ \leftrightarrow\ b^a=x[/tex]
Here, it means ...
[tex]\boxed{a^5=3}[/tex]
Answer:
[tex] \huge \purple { \boxed{{a}^{5} = 3}}[/tex]
Step-by-step explanation:
[tex] log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}[/tex]
Just the 46×23 to the fourth power times 1000
Answer:1.2872686 x 10^10
Step-by-step explanation:
46 x 23^4 x 1000
46 x 23 x 23 x 23 x 23 x 1000
1.2872686 x 10^10
Solve each equation.
13 = -2w
Answer:
w = -6.5
Step-by-step explanation:
We want to get rid of the coefficient of w so that we can solve for w. To do that, let's divide both sides of the equation by -2. When we do so, we get -13/2 = w. Hope this helps!
If you flipped a fair coin 18 times about how many times would you expect heads to appear?
Answer:
9 times
Step-by-step explanation:
hope this helps
Answer:
9
Step-by-step explanation:
Mathematically, 9, although reality wise, you could flip the coin and get heads every time, or the opposite.
I think you mean mathematically though, so yes, it would be 9.
Find the area of the regular polygon.
Round your answer to the
nearest tenth if necessary.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the dimension of the polygon is not given.
However, I'll give a general explanation of how to calculate the area of a regular polygon.
If you follow these simple steps, you'll arrive at your answer.
The area of a polygon is calculated as thus;
A = ½(nbh)
Where A represent the area
n represents the number of sides
b represents the length of the base
h represent the height of the polygon
Take for instance, the polygon is a regular pentagon.
This means n = 5.
Also assume that the base and the height are 5cm and 7cm respectively.
This means that
Area = ½ * (5 * 5 * 7)
Area = ½ * 175
Area = 87.5cm²
Hence, the area of the polygon is 87.5cm²
Which set of numbers is included in the solution set of the compound inequality? {–7, 5, 18, 24, 32} {–9, 7, 15, 22, 26} {16, 17, 22, 23, 24} {18, 19, 20, 21, 22}
Answer:
{-7,5,18,24,32}
Step-by-step explanation:
Let's verify all cases to determine the solution to the problem.
CASE A) we have
-9,7,15,22,26
The number 22 is not included in the solution set of the compound inequality.
CASE B) we have
-7,5,18,24,32
The number 22 is not included in the solution set of the compound inequality.
CASE C) we have
16,17,22,23,24
The number 22 is not included in the solution set of the compound inequality.
CASE D) we have
18,19,20,21,22
The numbers 19,20,21,22 are not included in the solution set of the compound inequality.
The answer to your question would be A
Year
2006
2008
2010
2015
2018
Value ($)
450
418
255
385
300
1. Using linear regression, write an equation for the line of best
fit to represent the value of the card, y, in years since 2006, r.
Round to the nearest hundredth where necessary. Use your
equation to find the value of the card in 2030.
Answer:
is there a picture
Step-by-step explanation:
ten tiles numbered 1 through 10 are placed in a bag you randomly chose one tile. without replacing the tile you randomly chose a second tile. Find the probability of choosing a 4 and then an even number?
Answer:
1/10
Step-by-step explanation:
there are 10 tiles and only 1 tile numbered 4 so 1 out of 10 tiles are numbered 4
I WILL GIVE BRAINLYIST IF CORRECT
A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
A right triangle with side length 6 feet, hypotenuse 14 feet, and side h.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.
Answer:
Perp≈12.6 ft
Step-by-step explanation:
Since this is a right angled triangle, so we'll use the formula
Hypotenuse ²=base²+ perp²
Where hyp=14 , base=6
14²=6²+perpendicular ²
196= 36 + perp²
Perp²=196-36
Perp ²= 160
Taking sq root on both sides
Perp=12.649
Perp≈12.6 ft
Answer:
The guy above me is right 12.6
Step-by-step explanation:
hope he gets brainlist
If you flip a coin 10 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
5
Step-by-step explanation:
The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.
Answer:
5
Step-by-step explanation:
Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head
Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5
i took too many pills counting up the bills
Molly in my cup i can't tell you how it feel
Answer:
errday i b countin up countin up da blues count away sometimes we always lose
Step-by-step explanation:
juice wrld
Answer:
juice wrld
Step-by-step explanation:
568,924,126 each digit stands for what
Answer:
500,000,00060,000,0008,000,000900,00020,0004,000100206Step-by-step explanation:
To find what a digit stands for, make all the other digits zero.
This is substantially what we do when we write the number in "expanded form."
568,924,126
= 500,000,000 +60,000,000 +8,000,000 +900,000 +20,000 +4,000 ...
... +100 +20 +6
The list of numbers in the sum is the list of numbers the digits stand for.
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
D. Vertx: (3,-16); Intercepts: x = -1, 7
Step-by-step explanation:
I graphed the equation on the graph below.
Tate is paid $17.35 per hour with time and a half overtime. What will his gross pay period in which he worked 35 hours one week and 44 hours next week for a total 79 hours?
Answer:
The new rule has a higher salary level for exemption from overtime, at $684 a week. This means that lower-pay exempt employees may qualify for overtime.
Step-by-step explanation: this is your answer plz rate e the most brainlest
What is the median of the following numbers?
1, 2, 10, 6, 4, 4, 6, 3, 1,4
Answer:
4
Step-by-step explanation:
The median is the middle number after ordered into numberical order. If there's two and the numbers are different, you add them and divide the total by 2.
Answer: 4
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
So let's write our data set from least to greatest.
So we have 1, 1, 2, 3, 4, 4, 4, 6, 6, 10.
Now, notice that there are two numbers that appear in the middle.
I have underlined them above.
When two numbers appear in the middle that are the same number (4 and 4), the median will be the same number too.
So the median of the given data set is 4.
A regular deck of cards has 52 cards with 4 aces. Carl asked a friend to pick a card from the deck three times, replacing the card each time. His friend picked three aces. Which expression will give the probability of that event?
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction)
(StartFraction 1 over 52 EndFraction) (StartFraction 1 over 51 EndFraction) (StartFraction 1 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 51 EndFraction) (StartFraction 4 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 3 over 51 EndFraction) (StartFraction 2 over 50 EndFraction)
Answer:
The answer is A
Step-by-step explanation:
Edg : )
Answer:
A
Step-by-step explanation:
A person invested $880 in an account growing at a rate allowing the money to double every 6 years. How much money would be in the account after 13 years, to the nearest dollar?
Answer:
$3,951
Step-by-step explanation:
The growth factor for t years is given as 2^(t/6). Then in 13 years, the account will be multiplied by ...
2^(13/6) ≈ 4.489848
Its value will be ...
$880·4.489848 ≈ $3,951
A large company that produces a "fat-burner" pill claims an average loss of 20 pounds in the first month. A consumer advocacy group believes that this claim is actually just "hype" intended to sell more of the compound. The advocacy group would like to obtain statistical evidence about this issue and takes a random sample of 100 consumers who responded that they had purchased the pill but didn't know what the survey was about. They find that these 100 people lost an average of 18 pounds with a standard deviation of 7.5 pounds. What are the null and alternative hypothesis in this situation
The null and alternative hypothesis for the tests are:
H0: μ = 20
Ha: μ < 20
Given data:
In this situation, the null and alternative hypotheses can be formulated as follows:
Null Hypothesis (H0): The average weight loss of consumers who take the "fat-burner" pill is equal to 20 pounds.
Alternative Hypothesis (Ha): The average weight loss of consumers who take the "fat-burner" pill is less than 20 pounds.
In symbolic notation:
H0: μ = 20
Ha: μ < 20
where μ represents the population mean weight loss of consumers who take the "fat-burner" pill.
The null hypothesis assumes that the claim made by the company is accurate and that the average weight loss is indeed 20 pounds. The alternative hypothesis challenges this claim and suggests that the actual average weight loss may be less than 20 pounds, implying that the "hype" around the pill's effectiveness might be exaggerated.
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Emina took out a 5/1 variable-rate mortgage for $120,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
O
A. $102,164.09
B. $123,740.97
c. $110,579.39
D. $113,739.09
Answer:
$110,579.39 this is the right answer.
What do you have to know before you can round a number
Answer:
if it ends in 5 then you round up but if it's less than 5 you round down
Step-by-step explanation:
You first have to locate the digit in the rounding place and this digit can be in the ones place, tens place,
hundreds place, thousands place, and so on.
After you locate the digit, look at the
digit to the right of the rounding place.
If the digit to the right of the rounding place is less than 5, we round down and if the digit is greater than or equal to 5, we round up.
1.(1 0) You measure the distance, l, a projectile travels several times using the same apparatus and find the following values (cm): 5.11, 4.89, 5.04, 4.94, 4.93, 5.06 and 5.09. Assuming that the errors are random: a) What is the mean value forl? b) What is the standard deviation for this data set? c) What is the uncertainty associated with your best estimate forl? d) How should one report the result of this measurement along with the uncertainty at the 95 % confidence level? e) If you desire to reduce the statistical uncertainty associated with the reported result using the same apparatus to be only 0.01 cm, how many measurements must be made?
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Order the steps needed to simplify this expression
(3+1)^2-17•2+24/3+5
Simplify inside parentheses
Perform addition and subtraction left to right
Perform multiplication and division
Evaluate exponents
Answer:
Step 1
Step 4
Step 3
Step 2
Hence, the order of steps needed to simplify this expression is
Step 1
Step4
Step3
Step2
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given expression is
[tex](3+1)^2-17(2)+\frac{24}{3}+5[/tex]
Step 1:-
Simplify the parenthesis
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5[/tex]
Step 2:- Evaluate exponents
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5[/tex]
Step 3:-Perform multiplication and division
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5[/tex]
Step 4:- Perform addition and subtraction left to right
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5\\\\=29-24\\\\=5[/tex]
Hence, the order of steps needed to simplify this expression is
Step 1
Step4
Step3
Step2
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