Answer:
Step-by-step explanation:
The null and alternative hypothesis are usually used in hypothesis testing to present the claim being tested as give in terms of the mean or proportion :
Given that the mean score of high school students is 10 ; using a sample of 50 students, a mean of 8 was obtained ; we could want to test the claim that the mean score is less than 10.
Here; population mean, μ = 10 ; the claim is now that, μ < 10 based on what was observed about the sample.
H0 : μ = 10
H0 : μ < 10
If we wanted to test If the mean was greater than 10 ; then the sign is reversed
H0 : μ = 10
H0 : μ > 10
If we wanted to test If the score is just different from the mean score stated ; (it may be less than or greater than)
H0 : μ = 10
H0 : μ ≠ 10
Instructions: State what additional information is required in order
to know that the triangles in the image below are congruent for the
reason given
Reasory. HL Postulate
Answer:
TU ≅ CB
Step-by-step explanation:
HL Postulates that when a leg and the hypotenuse of a right triangle are congruent to a corresponding leg and hypotenuse of another, then both right triangles are congruent.
Both right triangles shown in the diagram above is indicated to possess corresponding lengths of a leg, that is side UV ≅ side BA
We need an additional information that shows that the hypotenuse, TU, of ∆TUV is congruent to the hypotenuse, CB of ∆CBA.
Therefore, additional information needed is TU ≅ CB
Suppose taxi fares from Logan Airport to downtown Boston is known to be normally distributed and a sample of seven taxi fares produces a mean fare of $16.51 and a 95% confidence interval of [$15.96, $17.04]. Which of the following statements is a valid interpretation of the confidence interval??
a. 95% of all taxi fares are between $14.77 and $16.23.
b. We are 95% confident that a randomly selected taxi fare will be between $14.77 and $16.23.
c. The mean amount of a taxi fare is $15.51, 95% of the time.
d. With 95% confidence, we can report that the average taxi fare between Logan Airport and downtown Boston will fall between $14.77 and $16.23.
Answer:
The answer is "Option d".
Step-by-step explanation:
Please find the correct and complete question in the attachment file.
The taxis were known to also be uniformly distributed through the Logan airport to the city of Boston, as well as a sample of seven taxi rates gives an average of $15.51 for [$14.77 and $16.23] for a 95% trust interval. Having 95 percent confidence, we could give a valid interpretation of the confidence level for the averages taxi rates among both Logan Airport and Boston Centre.
Which of the following is equivalent to the expression - 1/4-(2/5 + 3/7)?
Given:
The expression is:
[tex]-\dfrac{1}{4}-\left(\dfrac{2}{5}+\dfrac{3}{7}\right)[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
[tex]-\dfrac{1}{4}-\left(\dfrac{2}{5}+\dfrac{3}{7}\right)[/tex]
Using the distributive property, we get
[tex]=-\dfrac{1}{4}-\dfrac{2}{5}-\dfrac{3}{7}[/tex]
Taking LCM, we get
[tex]=\dfrac{-35-56-60}{140}[/tex]
[tex]=\dfrac{-151}{140}[/tex]
Therefore, the expression [tex]-\dfrac{151}{140}[/tex] is equivalent to the given expression expression.
Note: There are more than one equivalent expressions.
The sum of the 3rd and 7th terms of an A.P. is 38, and the 9th term is 37. Find the A.P?
Let a be the first term in the arithmetic progression. Then each successive term differs from a by a fixed number c, so that
• first term = a
• second term = a + c
• third term = (a + c) + c = a + 2c
• fourth term = (a + 2c) + c = a + 3c
and so on. In general, the n-th term in the AP is a + (n - 1) c.
The sum of the 3rd and 7th terms is 38, so that
(a + 2c) + (a + 6c) = 38
==> 2a + 8c = 38
==> a + 4c = 19 … … … [1]
The 9th term is 37, so
a + 8c = 37 … … … [2]
Subtracting [1] from [2] eliminates a and lets you solve for c :
(a + 8c) - (a + 4c) = 37 - 19
4c = 18
c = 18/4 = 9/2
Solve for a using either equations [1] or [2] :
a + 8 (9/2) = 37
a + 36 = 37
a = 1
Then the n-th term in the AP is 1 + 9/2 (n - 1) or 9/2 n - 7/2, where n ≥ 1.
A friend wants to buy a pool and has two places she wants to purchase the pool with the largest volume which pool should she buy a rectangular pool that is 20' x 15' in 54 inches deep or a cylindrical pool that has a 3.3 m radios and is 1.8 m deep
Answer:
20'×15 in 54 inches
Step-by-step explanation:
The Best as a pool should be rectangular in shape and 54inches deep for safety of life's
The volume of the rectangular pool that is 20' x 15' in 54 inches deep is largest.
What is the volume of a cylinder?The volume of the cylinder is the product of the height, pie, and square of the radius.
The volume of the cylinder = [tex]\pi r^{2}[/tex]h
The volume of the cylindrical pool that has a 3.3 m radius and is 1.8 m deep is;
= [tex]\pi r^{2}[/tex]h
[tex]= 3.14 (3.3)^2 (1.8)\\\\= 61.55 m^3[/tex]
The volume of the rectangular pool that is 20' x 15' in 54 inches deep ;
V = 20 x 15 x 54
V = 16,200 cubic meter.
The volume of the rectangular pool that is 20' x 15' in 54 inches deep is largest.
Learn more about volume;
https://brainly.com/question/1578538
#SPJ2
A number increased by a% and decreased by 80% is 400. What is the number?
will give brainliest
Answer:
If we have a given number N, and we increase it by x%, then the new number is:
N + (x%/100%)*N
While if we decrease it by x%, the new number will be:
N - (x%/100%)*N
Now, we know that:
"A number increased by a% and decreased by 80% is 400. What is the number?"
First, we can not solve the problem, because we have two unknown values, the original number and the "a%", which I guess is a typo.
So, to be general with my answer, let's assume that the actual question is:
"A number increased by 50% and decreased by 80% is 400. What is the number?"
Then, if our original number is N and we increase it by 50%, the new number will be:
N + N*(50%/100%)
N + N*0.5
N*(1 + 0.5)
N*(1.5)
Now we decrease it by 80%, and that will be equal to 400, then:
N*1.5 - N*(1.5)*(80%/100%) = 400
N*1.5 - N*1.5*0.8 = 400
N*(1.5 - 1.5*0.8) = 400
N*(0.3) = 400
N = 400/0.3 = 1,333.33...
Remember that this is a kinda general solution, so you can understand how to solve this type of problem.
By reporting only p-values, many scientific publications provide an incomplete story of their findings.
a. True
b. False
Answer:
a.
Step-by-step explanation:
The p-value is a measurement of the likelihood that a difference observed is due to a random chance or a sampling error. In an alternative way, the p-value of a study represents the probability or area under distribution for obtaining more radical outcomes whenever the null hypothesis is true.
Any observable change is deemed to be addressed by sampling variability if the P-value is greater than the selected alpha level. A statistical test will nearly always show a substantial difference with a suitably big sample unless there is no impact at all when the effect size is exactly zero.
As a result, simply reporting the P-value alone for a study is insufficient to fully validate the results and findings of scientific publications.
Is this relation a function?
Answer:
No
Step-by-step explanation:
Each "x" should have a corresponding "y" value. In this case, however, an x has two different y values which would not make this a function. You can check this through the vertical line test.
PLEASE HELP ME PLEASE AND BE CORRECT
Answer:
12 cm²
Step-by-step explanation:
area = L *B
a = 6 * 2
a = 12cm²
Which of the following is equivalent to 36ab^2 - 28ab when it is completely factored?
A.
2ab(18b - 14)
B.
4ab(9b - 7)
C.
12ab(3b - 2)
D.
4(9ab^2 - 7ab)
Answer:
the answer is option B because it has been factorized completely
convert 2m 50cm 15mm in cm
Answer:
251.5 cm
Step-by-step explanation:
1 m = 100 cm
1 cm = 10 mm
2 m + 50 cm + 15 mm =
= 2 m * (100 cm)/m + 50 cm + 15 mm * (1 cm)/(10 mm)
= 200 cm + 50 cm + 1.5 cm
= 251.5 cm
I need a hang here anyone if anyone can help
Answer:
Step-by-step explanation:
If you make x footballs, the cost per football is (30+3.5x)/x dollars.
If you make 1 football, the cost of the football is $33.50
Answer ASAP
Will give brainliest!
More information pleaseeeeeeee
order the group of quadratic functions from widest to narrowest graph
Answer:
"The coefficient with the largest absolute value is the most narrow graph."
y = ⅓x² → widest
y = -½x²
y = -9x² → narrowest
The average time to serve a customer at a fast-food restaurant is 4.35 minutes. The standard deviation of the service time is 2.5 minutes. What is the coefficient of variation of the service time
Answer: 0.5747
Step-by-step explanation:
Given: Average time to serve a customer[tex](\mu)=4.35[/tex] minutes
standard deviation of the service time [tex](\sigma)=[/tex] 2.5 minutes
coefficient of variation = [tex]\frac{\sigma}{\mu}[/tex]
[tex]=\dfrac{2.5}{4.35}\\\\=\dfrac{250}{435}\\\\=0.5747[/tex]
Hence, the required coefficient of variation= 0.5747
Find mBAF help ASAP.
Answer:
I think
c. 164
Step-by-step explanation:
m<BAC=m<FAE = 25
m< CAD=m< DAE= 57
m<BAF= 25+25+57+57=164
which transformation of the red triangle on the graph maps it into the missing peice of the square?
A. a translation 16 units right
B. a reflection across the y-axis
C. a 90° counterclockwise rotation about the origin
D. a 90° clockwise rotation about the origin
E. a 180° rotation about the origin
Answer:
D
The missing piece (triangle) is facing right side up but the red triangle has its point facing left
TO get it facing up, turn it by 90 degrees clockwise
Find the value of x in each case and give an explanation plzzz, thank youu :)
Answer:
Step-by-step explanation:
the arrows from the picture tells us that TV is parallel to RS
since TS is a transversal that cuts the 2 parallel lines TV and RS than ∠S =x
(alternate interior angles)
sum of angles in a Δ is 180° so x+x+2x = 180°, 4x =180°, x= 45°
2x = 45*2 = 90°
Fond the square root of 169 by division method
Answer:
13
Step-by-step explanation:
square root of 169 is 13
16. Jorge plans to paint a bedroom wall that is shaped like a trapezoid. The bottom edge of the wall is 22.5 feet long, and the top edge of the wall is 9.5 feet long. If the wall is 8 feet tall, what is the area of the wall? Round your answer to the nearest hundredth if necessary.
Answer:
128 square feet
Step-by-step explanation:
length of the bottom edge of the wall (a) = 22.5 feet
length of the top edge of the wall (b) = 9.5 feet
height of the wall (h) = 8 feet
then
area of the wall = [(a + b)/2] * h
= [ (22.5 + 9.5)/2] * 8 square feet
= (32/2) * 8 square feet
= 16 * 8 square feet
= 128 square feet
Triangles P Q R and S T U are shown. Angles P R Q and T S U are right angles. The length of P Q is 20, the length of Q R is 16, and the length of P R is 12. The length of S T is 30, the length of T U is 34, and the length of S U is 16.
Using the side lengths of △PQR and △STU, which angle has a sine ratio of Four-fifths?
∠P
∠Q
∠T
∠U
Answer:
[tex]\angle P[/tex]
Step-by-step explanation:
Given
[tex]\triangle PRQ = \triangle TSU = 90^o[/tex]
[tex]PQ = 20[/tex] [tex]QR = 16[/tex] [tex]PR = 12[/tex]
[tex]ST = 30[/tex] [tex]TU = 34[/tex] [tex]SU = 16[/tex]
See attachment
Required
Which sine of angle is equivalent to [tex]\frac{4}{5}[/tex]
Considering [tex]\triangle PQR[/tex]
We have:
[tex]\sin(P) = \frac{QR}{PQ}[/tex] --- i.e. opposite/hypotenuse
So, we have:
[tex]\sin(P) = \frac{16}{20}[/tex]
Divide by 4
[tex]\sin(P) = \frac{4}{5}[/tex]
Hence:
[tex]\angle P[/tex] is correct
Answer:
A or <P
Step-by-step explanation:
on edge 2021
Given b(x) = |x+4|, what is b(-10)?
-10
-6
6
14
Answer:
G(x)=lx+4l
G(-10)=l-10+4l
=l-6l
=6
Answer: 6
What is the distance between the points (5, 7) times
and (-3, 4) on the coordinate
plane?
Answer:
Answer:
Option B 8.54\ units8.54 units
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Let
[tex]\begin{gathered}A(5,7)\\E(-3.4)\end{gathered} [/tex]
substitute the values
[tex]dAB=\sqrt{(4-7)^{2}+(-3-5)^{2}}[/tex]
[tex]dAB=\sqrt{(-3^{2}+(-8)^{2}}[/tex]
[tex]dAB=\sqrt{73}=8.54\ units[/tex]
a new extended-life light bulb has an average service life of 700 hours, with a standard deviation of 50 hours. if the service life of these light bulbs approximates a normal distribution, about what percent of the distribution will be between 600 hours and 900 hours
Answer:
Hence the distribution will be between 600 hours and 900 hours is 74.9%.
Step-by-step explanation:
I’ll mark you as a brain list please help
Answer:
just ignore this whole thing
Answer: There is a pattern if you look closely :)
So yhe required answer would be 7^-1
Step-by-step explanation:
PLEASE HELPPP!!!! WILL GIVE BRAINLIEST!!!!!!!!!!
I also need help anyone can help
3
Use the drawing tool(s) to form the correct answer on the provided graph.
The function f(X) is shown on the provided graph.
Graph the result of the following transformation on fx).
f(x)+6
A company claims that its soup vending machines deliver exactly 8 ounces of soup to every customer. You do not want the vending machines to deliver too much or too little soup. How would you formulate this properly in hypothesis testing?a) H0 : µ >8b) H0 : µ =8c) H0 > 8d) None of these
Answer:
[tex]H_0: \mu = 8[/tex]
[tex]H_1: \mu \neq 8[/tex]
Step-by-step explanation:
A company claims that its soup vending machines deliver exactly 8 ounces of soup to every customer.
This means that the null hypothesis is that the mean is exactly 8, that is:
[tex]H_0: \mu = 8[/tex]
You do not want the vending machines to deliver too much or too little soup.
We don't want the mean to be different from 8, which means that the alternative hypothesis is given by:
[tex]H_1: \mu \neq 8[/tex]
please help, it’s urgent ! :)
9514 1404 393
Answer:
[-4, -1)[-1, 1)[1, 5]Step-by-step explanation:
The numbers that describe the domain of the piece are the x-value at the left end and the x-value at the right end of each piece.
Piece 1 is defined between x=-4 and x=-1, so the interval is [-4, -1).
Piece 2 is defined between x=-1 and x=1, so the interval is [-1, 1).
Piece 3 is defined between x=1 and x=5, so the interval is [1, 5].
_____
Additional comment
The rounded bracket at the right end of the domain interval means the point is not included. The square bracket means the point is included. In general, you only want each x-value to have one corresponding f(x) definition, so it is usually not appropriate to include it as part of two different pieces of the piecewise function. [-4, -1) means -4 ≤ x < -1.
So for this problem, I almost got it however my rounding is off causing my answers to be wrong. Can someone please help me with the two that are wrong. Thank you for your help!
Answer:
it 94x26.2 i think it right if not sorry :/
Step-by-step explanation: