Answer:
The null hypothesis is [tex]H_0: \mu = 26.5[/tex]
The alternate hypothesis is [tex]H_a: \mu > 26.5[/tex]
The pvalue of the test is 0.1075 > 0.05, which means that there is not sufficient evidence at the 0.05 level to support the testing firm's claim.
Step-by-step explanation:
An automobile manufacturer has given its jeep a 26.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this jeep since it is believed that the jeep performs over the manufacturer's MPG rating.
At the null hypothesis, we test that the mean is 26.5 MPG, that is:
[tex]H_0: \mu = 26.5[/tex]
At the alternate hypothesis, we test that the mean is above 26.5 MPG, that is:
[tex]H_a: \mu > 26.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
26.5 is tested at the null hypothesis:
This means that [tex]\mu = 26.5[/tex]
After testing 240 jeeps, they found a mean MPG of 26.7. Assume the population standard deviation is known to be 2.5.
This means that [tex]n = 240, \mu = 26.7, \sigma = 2.5[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{26.7 - 26.5}{\frac{2.5}{\sqrt{240}}}[/tex]
[tex]z = 1.24[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean above 26.7, which is 1 subtracted by the pvalue of z = 1.24.
Looking at the z-table, z = 1.24 has a pvalue of 0.8925
1 - 0.8925 = 0.1075
The pvalue of the test is 0.1075 > 0.05, which means that there is not sufficient evidence at the 0.05 level to support the testing firm's claim.
Write an inequality for the graph below.
What is the volume of the rectangular prism shown below?
in.
in
3 in.
63 in
in.
Volume = length x width x height
Volume = 6 1/2 x 3 x 4/5 = 15 3/5 cubic in.
Answer:
15 3/5.
Step by Step Explanation:
4/5 * 3 = 2 2/5
2 2/5*6 1/2 = 15 3/5.
Statement
Reason
1. EFGH is a parallelogram
1. Given
2. EF | GH and HE FG
2.
3. ZEFH ZGHF and
ZEHF ZGFH
3
3.
4. FG FG
5. AEFH AGHF
S.
6. EF
GH and HE - FG+ 6.
Answer:
2. Definition of a parallelogram
3. Alternate interior angles are congruent
4. Reflexive Property
5. Angle Side Angle
6. Corresponding Parts of Congruent triangles are congruent
Step-by-step explanation:
sundip and emma have some money
the ratio of sundips money to emmas money is 3:5
emma spends £450 of her money
the ratio of sundips money to emmas money is now 2:3
found how much money sundip has
Answer:
Step-by-step explanation:
Can you please answer the Sundip Ratio question?
£180.00
The amount of money Sundip have £ 2700.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
ratio of sundips money : emmas money = 3:5
emma spends £450
ratio of sundips money : emmas money = 2:3
So, Sundip have money = 3x and Emma have money = 5x.
Now, Emma spends £450.
then she is left = (5x-450).
Now, the ratio of Sundip's money to Emma's money is given as 2:3 = 2/3.
2/3 = 3x/(5x-450).
2(5x-450) = 3*3x
10x - 900 = 9x
x = 900.
Thus, Sundip have 3x = 3 x 900 = 2700.
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5 friends split 1/2 of a chocolate bar. How
much does each friend eat?
Draw a model.
Answer:
1/10
Step-by-step explanation:
the friends eat 1/10 of the whole bar or 1/5 of half a bar
The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?
Answer:
192 markers
Step-by-step explanation:
if 8 = 4% then 2=1%
so we can assume there are 200markers in the package.
8-200= 192 markers
can I get some help?
Answer:
60x80 i think 4800
Step-by-step explanation:
To make dough, Reba needs 2 cups of
flour. How much flour does she need to
make 5 batches of dough?
Answer:
The answer would be D.
Step-by-step explanation:
D. 10 1/2
Answer:
B. 12 1/2 CUPSStep-by-step explanation:
[tex]1 \:dough = 2\frac{1}{2} \:cups\:of\:flour\\5 \:batches=x[/tex]
Cross multiply
[tex]x = 5\times 2\frac{1}{2} \\\\2\frac{1}{2}=\frac{2\times 2+1}{2}\\\\x=5\times \frac{5}{2}\\\\x=\frac{5\times \:5}{1\times \:2}\\\\x=\frac{25}{2}\\\\x=12\frac{1}{2}\:cups[/tex]
find the mean and median of these data: 2, 7, 13, 15, 17, 19
Pls Pls answer and HURRY
Answer:
Mean: 12.166
Median: 14
Step-by-step explanation:
Answer:
mean: 73 ÷ 6 (amount of numbers in the list) = 12.166
median (middle number): 14
Step-by-step explanation:
to find the mean (average) you add all the numbers in the list and divide by the numbers there are (6 in the above problem)
2+7+13+15+17+18 = 73÷6 = 12.16
Karen makes $5 per hour baby-sitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend baby-sitting?
F)11
G)9
H)6
J)7
Answer:
F) 11
Step-by-step explanation:
We know that she worked 18 hours, and earned $139.
Let's just say that she spent x hours baby-sitting.
If she makes $5 per hour, the total amount of money she earned from baby-sitting would be 5x.
If she spent x hours baby-sitting, that would mean that she spent 18-x hours giving music lessons.
So, the total amount of money she earned from music lessons would be 12(18-x).
Now we can plug this into an equation.
5x + 12(18-x) = 139.
5x + 216 - 12x = 139.
5x - 12x = -77
-7x = -77
x = 11.
This means that she spent 11 hours baby-sitting.
Hope this helps!
Use long division to determine the decimal equivalent of 5/9
A 0.3
B 04
C 0.5
D 0.6
Answer:
C) 0.55...
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
Option D is the correct answer
Hello there!!
The answer would be D. The symbol you see, [tex]\geq[/tex], means 'greater than or equal to'. This correctly fits the wording - Margo must sell AT LEAST 38 tubs. So the lowest number she can sell is 38. And that means the answer is D.
I hope this helps!
Alexa and Siri are each working on an assignment that is 60 questions long. Alexa completed 20% of the assignment, while Siri completed 30% of the problems. How many more questions did Siri complete?
the correct answer is 25
Answer:
The answer: 18-12=6
Step-by-step explanation:
Step 1:
Alex:
Part=Whole*Percentage
So just plug in the numbers
Part=60*0.20=12
Step 2:
Siri:
Part=Whole*Percentage
Part=60*0.30=18
Step 3:
18-12=6
A small orchard is made up of 12 trees that all together produce 72 apples.
Which of the following is the best estimate of how many apples each tree
produces?
3 apples per tree
15 apples per tree
12 apples per tree
7 apples per tree
17 apples per tree
Step-by-step explanation:
12 trees produce 72 apples
1 tree pruduces 72/12 apples
or 6 apples per tree
estimated => 7 apples per tree
A small orchard is made up of 12 trees that all together produce 72 apples. Which of the following is the best estimate of how many apples each tree produces?
3 apples per tree
15 apples per tree
12 apples per tree
7 apples per tree
17 apples per tree
____________________Solution :-Given Information :-Number of trees ➢ 12Apples produced by all 12 trees ➢ 72To Find :-Which of the following is the best estimate of how many apples each tree produces?
3 apples per tree
15 apples per tree
12 apples per tree
7 apples per tree
17 apples per tree
Calculation :-Here, We will simply divide the number of apples produced by 12 trees by the number of trees and then we will round it off to it's nearest 'ones' place.
⇒ Total number of apples each tree produces = [tex] \sf \frac{total \: number \: of \: apples}{total \: number \: of \: trees} [/tex]
Substituting the values given, We get,
⇒ Total number of apples each tree produce = [tex] \sf \frac{72}{12} [/tex]
⇒ Total number of apples each tree produces = 6
Now, when we round it off to it's nearest 'ones' place, We get,
⇒ Round off 6 = 7
Since, We can see that, 4th option from the list of option given, is 7. Therefore 7 is the answer.
____________________Final Answer :-4th option :- 7 apples per tree is the correct answer.____________________Find the measure of x.
Babies born after 40 weeks gestation have a mean length of 52.2 centimeters (about 20.6 inches). Babies born one month early have a mean length of 47.4 cm. Assume both standard deviations are 2.5 cm. and the distributions are unimodal and symmetric. a. Find the standardized score (z-score), relative to all U.S. births, for a baby with a birth length of 45 cm. b. Find the standardized score of a birth length of 45 cm. for babies born one month early, using 47.4 as the mean. c. For which group is a birth length of 45 cm more common
Answer:
a) [tex]Z = -2.88[/tex]
b) [tex]Z = -0.96[/tex]
c) 40 weeks gestation babies
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. Find the standardized score (z-score), relative to all U.S. births, for a baby with a birth length of 45 cm.
Here, we use [tex]\mu = 52.2, \sigma = 2.5[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 52.2}{2.5}[/tex]
[tex]Z = -2.88[/tex]
b. Find the standardized score of a birth length of 45 cm. for babies born one month early, using 47.4 as the mean.
Here, we use [tex]\mu = 47.4, \sigma = 2.5[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 47.4}{2.5}[/tex]
[tex]Z = -0.96[/tex]
c. For which group is a birth length of 45 cm more common?
For each group, the probability is 1 subtracted by the pvalue of Z.
Z = -2.88 has a lower pvalue than Z = -0.96, so for Z = -2.88 the probability 1 - pvalue of Z will be greater. This means that for 40 weeks gestation babies a birth length of 45 cm is more common.
Help please yalllllll
Answer:
27.3 mi2, the first option
Step-by-step explanation:
Area of a triangle is [tex]\frac{1}{2}[/tex] x base x height
Length of the base is 9.1mi and height is 6mi.
So, the Area would be:-
[tex]\frac{1}{2}[/tex] x 9.1 x 6
[tex]\frac{1}{2}[/tex] x 54.6
[tex]\frac{54.6}{2}[/tex]
= 27.3 mi2
Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.
S1 = 4
S2 = 6.84
S3 = 10.156
The sequence diverges.
Answer:
b and d
Step-by-step explanation:
edge 2021
If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.
What is a geometric sequence?Suppose the initial term of a geometric sequence is a
and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
a, ar, ar², ar³, ...
The sequence is given below.
[tex]\rm a_n = 4 (0.9)^n[/tex]
Then the sum of the sequence will be given as
The first term (a) is 4. And the common ratio (r) is 0.9.
Then we get
[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]
For n = 1, we have
S₁ = 40 (1 - 0.9)
S₁ = 40 x 0.1
S₁ = 4
For n = 2, we have
S₂ = 40 (1 - 0.9²)
S₂ = 40 x 0.19
S₂ = 7.6
For n = 3, we have
S₃ = 40 (1 - 0.9³)
S₃ = 40 x 0.271
S₃ = 10.84
If the common ratio is less than one then the sequence will diverge.
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How much INTEREST would you earn investing $5000 that earns 7% simple annual interest for 3 years?
Answer:
$1,125.26
Step-by-step explanation:
Start of Year 1 5000.00
Start of Year 2 5350.00
Start of Year 3 5724.50
Start of Year 4 6125.26
What is the mean?
-4 -3 0 -4 -3 0
Answer:
−4−(3)(0)−4−(3)(0)
=−8
Answer:
-2 and 1/3
Step-by-step explanation:
-4+-3+0+-4+-3+0 = -14
6 numbers
-14/6 = -2 1/3
Jonah wants to construct a confidence interval using 90% confidence to estimate what proportion of silicon wafers at his factory is defective. He wants the margin of error to be no more than 3%. A previous study suggests that about 6% of these wafers are defective. If we assume p=0.06, what is the smallest sample size required to obtain the desired margin of error? 234 416 170 936
Answer:
170
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Assume:
[tex]\pi = 0.06[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
What is the smallest sample size required to obtain the desired margin of error?
This is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.06*0.94}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.06*0.94}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.06*0.94}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.06*0.94}}{0.03})^2[/tex]
[tex]n = 169.6[/tex]
Rounding up, 170.
Find the quotient of 3/5 and 2/3
Answer:
The quotient of 3/5 and 2/3 is 9/10 in fraction and 0.9 in decimal.
Answer:
9/10
Step-by-step explanation:
(3/5)/(2/3)=(3/5)(3/2)=9/10
mr. kim plants trees in a row that is 9 yards long. how many feet long is the row?
a) 12 feet
b) 18 feet
c) 24 feet
d) 27 feet
please help asap.
Can someone please help me with 5 and 6 like rnnn please???
Answer:
6 is 140°
step by step
same line meant that the angle abc equals 180°
so DBC =180-40=140° .
math question!
pls help
question is in the pic
Answer:
C
Step-by-step explanation:
The angle is almost a full circle. A full circle would be 360,but since it is just hardly missing a piece ,that means it is 350. Simplistic explanation without the extra math,
what is 30 percent of 279?
Answer: 83.7
Step-by-step explanation: Do 0.3 x 279 to get 83.7.
How do I answer this? I'm so confused
Answer:
Draw a graph of f(x) and q(x) also find x-intercept and y
Is assets debit or credit
Answer:
Debit
Step-by-step explanation:
Assets and expenses have natural debit balances. This means positive values for assets and expenses are debited and negative balances are credited. For example, upon the receipt of $1,000 cash, a journal entry would include a debit of $1,000 to the cash account in the balance sheet, because cash is increasing.
Answer:
debit
Step-by-step explanation:
Elena and Diego each wrote an equation to represent the diagram. Elena wrote 35+w+41=180. Diego wrote 35+w=180.which equation do you agree with? You can assume that angles that look like right angles and indeed right angles
Answer:
Step-by-step explanation:
i need to see the diagram, to help you
For questions 7- 10, given that each shape is a rhombus, find the missing information.
HELP ASAP !!!!
Answer:
the answer is b
Step-by-step explanation:
/////////////////////////////
Answer:
I think it's B
Step-by-step explanation:
So sorry if I'm wrong. Have a nice day!