Using the z-distribution, it is found that since the p-value is less than 0.01, there is strong indication that the true proportion of mechanics who could identify this problem is less than 0.75.
What are the hypotheses tested?At the null hypotheses, it is tested if there is not enough evidence that the proportion is less than 0.75, that is:
[tex]H_0: p \geq 0.75[/tex]
At the alternative hypotheses, it is tested if there is enough evidence that the proportion is less than 0.75, that is:
[tex]H_1: p < 0.75[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.For this problem, the parameters are given as follows:
[tex]n = 72, \overline{p} = \frac{42}{72} = 0.5833, p = 0.75[/tex]
Hence the test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.5833 - 0.75}{\sqrt{\frac{0.75(0.25)}{72}}}[/tex]
z = -3.27.
What is the p-value of the test?Considering a left-tailed test, as we are testing if the proportion is less than a value, with z = -3.27, the p-value is < 0.01.
Since the p-value is less than 0.01, there is strong indication that the true proportion of mechanics who could identify this problem is less than 0.75.
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Match the solution to its expression.
A sequence of translations maps triangle ABC to triangle A'B'C'.
triangle ABC has vertices at A(-8,2), B(13,2), C(-2,10)
coordinates for A' are (-1,-3)
What are the coordinates for B'? (use parenthesis around the point)
Answer:
Down Below Is the answer!
Step-by-step explanation:
The triangles ABC and A'B'C' are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A'B'C'. Euclid2 In the right triangle ABC with a right angle at C is given side a=29 and height v=17. Calculate the perimeter of the triangle.
Nina can buy a video game console for $78, and rent a game for $8.95 per week. Or she can rent a console and game for $24.99 per week. Which
inequality can be used to find the number of weeks after which it would be cheaper to buy the console than to rent it?
A.78-8.95z, < 24.99
B.78+8,952 < 24.99z
C.78-8.95z> 24.99z
D.78+8.95z> 24.99z
The inequality that can be used to find the number of weeks after which it would be cheaper to buy the console than to rent it is B.78 + 8.95z, < 24.99z
How to calculate the inequality?From the information, Nina can buy a video game console for $78, and rent a game for $8.95 per week or she can rent a console and game for $24.99 per week.
The appropriate inequality will be:
= 78 + (8.95 × z) < 24.99 × z
= 78 + 8.95z, < 24.99z
Therefore, the correct option is B.
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What company has the absolute advantage when it comes to producing phones?
a. Gonzalez and Bros. Inc
b. The G company Inc
c. they both do
d. neither
(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.
Absolute advantage theory
Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.
On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.
Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.
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2. 2x + 7 = 1, because x = -3.0
If then
Answer:
x = -3
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+7=1
Step 1: Subtract 7 from both sides.
2x+7−7=1−7
2x=−6
Step 2: Divide both sides by 2.
2x/2 = −6/2
x=−3
n×50=5,000 explain solution.
Answer:
100 is your answer
Step-by-step explanation:
I simply switched around the equation the answered it that way
Example: n×50=5,000
5000/50=n
500/50=100
Please answer the question in the picture, I will mark brainliest
Answer options are:
A. a 180 degrees clockwise rotation about the origin
B. a dilation with a scale factor of 6
C. a 90 degrees clockwise rotation about the origin
D. a reflection over the line x=6
Answer:
B
Step-by-step explanation:
My mom is a teacher lol
help me w math pls thx
Answer:
Step-by-step explanation:
Which number will make the equation true 7+2 = 16 - _
Answer:
7
Step-by-step explanation: they want you to get 9 in order to get 9 the answer will 7 and it will subtract 16 which will equal 9 so the answer it 7.
trust ur guts
One month, Miko bought two books at a used book store for $2. Over the next few months, she bought four books for a total of $5, six books for a total $7, and eight books for a total of $10. Is the cost proportional to the number of books purchased? Explain.
$190 is the cost proportional to the number of books purchased'
What is the short answer to cost?
A company's cost is the amount of money it had to spend to create its goods or services. It is calculated as the sum that the business spends to create a specific number of a product. Simply put, it is the cash that a business spends on things like labor, services, raw materials, and other costs.Mike purchased total books = 2 × $2 + 4 × $5 + 6 × $7 + 8 × $10
= 4 + 20 + 30 + 56 + 80
= $190
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What is the answer?I am really lost.
Answer:
nine, you could find the answer from the instruction
Nancy spent 1/5 of her money on a dress and 1/4 of the remainder on a handbag, if she spent a total of $100, how much did he have at first?
Nancy had $ 250 at the start when she did not buy anything given by the equation $ 100 = 2 x / 5
Let the original amount Nancy have first be x.
Therefore, Money spent on dress = x / 5
Remaining money = x - x / 5
= 4 x / 5
Money spent on handbag = (1 / 4) × 4 x / 5
= x / 5
Total total money spent is given by the equation:
= x / 5 + x / 5 = $ 100
$ 100 = 2 x / 5
2 x = $ 500
⇒ x = $ 500 / 2
⇒ x = $ 250
Hence, Nancy had $ 250 at the start when she did not buy anything given by the equation $ 100 = 2 x / 5
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Solve (2x - 4) <8.
x= <5
x=<2
x=<6
x=4
Answer:
X = <6
Step-by-step explanation:
(2x - 4) < 8
2x - 4 + 4 < 8 + 4
2x < 12
2x/2 < 12/2
x < 6
Hope this helps! :)
How many 3 digit passcodes are possible if the digits, chosen from the set {1, 2, 3, 4, 5}, cannot be repeated and the first digit must be an even number.
==================================================
Explanation:
The first digit must be even, so we have this subset {2,4} to pick from for that first digit. There are 2 choices here.
Whatever is picked for the first digit cannot be re-selected. So we have 5-1 = 4 choices left for the second digit, and then 4-1 = 3 choices for the third digit.
Overall we have 2*4*3 = 24 different passcodes.
Benny received an amount of money on Monday. Every subsequent day, the amount of money he received was twice as much as that received the previous day. On the fifth day, he received $112. How much money did he receive on Monday?
Answer:
He received $7
Step-by-step explanation:
$7 - Monday {first day}
$7 × 2 = $14 Tuesday {second day}
$14 × 2 = $28 Wednesday {third day}
$28 × 2 = $56 Thursday{ fourth day}
$56 × 2 = $112 friday {fifth day}
|3x| ≤ 12 please help
Answer: 7
Step-by-step explanation: ‘Sup guys, My name is Quandale Dingle. I am breaking out of prison on may 14, 2023. I am currently imprisoned in southern Saudi Arabia for various felonies.
A barge (flat bottomed freight boat) moving with a speed of 1.00 m/s increases speed uniformly, so that in 30.0 seconds it has traveled 60.2 m. What is the magnitude of the barge's acceleration?
Answer:(a) Choose the initial point where the pilot reduces the throttle and the final point where the boat passes the buoy: X
i
=0,X
f
=100m,
V
xi
=30m/s,V
xf
=?,a
x
=−3.5m/s
2
,andt=?
X
f
=X
i
+V
xi
t+
2
1
a
x
t
2
100m=0+(30m/s)t+
2
1
(−3.5m/s
2
)t
2
(1.75m/s
2
)t
2
−(30m/s)t+100m=0
We use the quadratic formula:
t=
2a
−b±
b
2
−4ac
t=
2(1.75m/s
2
)
30m/s±
900m
2
/s
2
−4(1.75m/s
2
)(100m)
=
3.5m/s
2
30m/s±14.1m/s
=12.6s or 4.53s
The smaller value is the physical answer. If the boat kept moving with the same acceleration, it would stop and move backward, then gain speed, and pass the buoy again at 12.6s.
(b) V
xf
=V
xi
+a
x
t=30m/s−(3.5m/s
2
)4.53s=14.1m/s
Step-by-step explanation:
Please please help me i need help with explanation please see picture
The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 8.2% daily failure rate.
a. What is the probability that the student's alarm clock will not work on the morning of an important final exam?.
b. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam?
c. What is the probability of not being awakened if the student uses three independent alarm clocks?
The solution to the probabilities in this principle of redundancy are:
a) 0.082b). 0.006724c.) 0.000551How to solve for the probabilityA. The probability that the alarm clock of this student would not work on the morning of an important exam is
= 8.2%
= 0.082
b. The probability that the 2 alarms would fail on the morning of an important exam is
p(alarm 1 failing) x p(alarm 2 failing)
= 0.082 x 0.082
= 0.006724
c. The probability that the student would not wake with the use of 3 independent alarms
= p(alarm 1 failing) x p(alarm 2 failing) x p(alarm 3 failing)
= 0.082 x 0.082 x 0.082
= 0.000551
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As the tax assessor for Indian Creek County, you have been informed that due to budgetary demands, a tax increase will be necessary next year. The total market value of the property in the county is $400,000,000. Currently, the assessment rate is 35% and the tax rate is 30 mills. The county commission increases the assessment rate to 55% and the tax rate to 35 mills.
(a)
How much property tax (in $) was collected under the old rates?
$
(b)
How much more tax (in $) revenue will be collected under the new rates?
$
The amount of property tax that was collected under old rates is $4,200,000 and new rates is $5,400,000.
(a) Take a look at the information provided.
$400,000,000 is the fair market value, and the assessment rate is 35%.
Thus, 35% = 35/100 = 0.35
Since fair market value x assessment rate equals assessment value
400,000,000 x 0.3 = 140,000,000
30-mill old property tax rate
To convert the tax rate from mills to decimal, multiply it by 0.001.
30x 0.001 = 0.03
Then, multiply the old tax rate by the previous assessment value of the property to determine the amount of property tax owed: 140,000,000 x 0.03 = 4,200,000.
Therefore, the amount of property tax that was collected at the previous rates was $4,200,000.
(b) The price at fair market is $400,000,000.
The evaluation rate is 45%.
45% = 45/100 = 0.45
As, or in other words,
assessment value = fair market value multiplied by the assessment rate.
As a result,
400000000 x 0.45 = 180000000
30 mills is the old property tax rate.
To compute the tax rate in decimal notation, multiply the millage rate by 0.001.
30 x 0.001 = 0.03
Calculate the property tax owing by multiplying the old tax rate by the previous assessment of the property: 180000000 x 0.03 = 5400000.
Therefore, the amount of property tax that was gathered at the new rates is 5,400,000.
Hence, the amount of property tax that was collected under old rates is $4,200,000 and new rates is $5,400,000.
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Whats the domain of the graph ?
1
2
3
4
Answer:
A
Step-by-step explanation:
The less than signs are not less than or equal to when there is open circles. In this situation, there is no open circles, so it is A.
if f is a function from R to R such that f(x)f(y)=f(x+y)+f(z-y) and f(1)=3, then what is the value of f(7)?
I suppose you mean
[tex]f(x) f(y) = f(x + y) + f(x - y)[/tex]
Let [tex]x=1[/tex] and [tex]y=0[/tex]. Then
[tex]f(1) f(0) = f(1 + 0) + f(1 - 0) \implies f(1) f(0) = 2 f(1) \implies f(0) = 2[/tex]
Now if we fix [tex]y=1[/tex], the functional equation reduces to the recurrence relation
[tex]f(x) f(1) = f(x + 1) + f(x - 1) \implies f(x+1) - 3f(x) + f(x-1) = 0[/tex]
and we can find [tex]f(7)[/tex] with a few rounds of substitution.
[tex]x=1 \implies f(2) - 3f(1) + f(0) = 0 \implies f(2) = 3f(1) - f(0) = 7[/tex]
[tex]x=2 \implies f(3) - 3f(2) + f(1) = 0 \implies f(3) = 3f(2) - f(1) = 18[/tex]
[tex]x=3 \implies f(4) - 3f(3) + f(2) = 0 \implies f(4) = 3f(3) - f(2) = 47[/tex]
[tex]x=4 \implies f(5) - 3f(4) + f(3) = 0 \implies f(5) = 3f(4) - f(3) = 123[/tex]
[tex]x=5 \implies f(6) - 3f(5) + f(4) = 0 \implies f(6) = 3f(5) - f(4) = 322[/tex]
[tex]x=6 \implies f(7) - 3f(6) + f(5) = 0 \implies f(7) = 3f(6) - f(5) = \boxed{843}[/tex]
What is the slope of the line that contains the points (4, 3) and (2, 7)?
\frac{6\div \frac{3}{8}∙0.5}{1.44\div 4.5}
The value of the expression [6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] is 25
How to evaluate the expression?The expression is given as
\frac{6\div \frac{3}{8}∙0.5}{1.44\div 4.5}
Rewrite properly as
[tex]\frac{6\div \frac{3}{8} \times 0.5}{1.44\div 4.5}[/tex]
This implies that
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5]
Express the quotient as product
So, we have
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = [6 x 8/3 x 0.5]/[1.44 ÷ 4.5]
Evaluate the product
So, we have
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = [8]/[1.44 ÷ 4.5]
Evaluate the quotient
So, we have
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = 8/(8/25)
Express the quotient as product
So, we have
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = 8 x 25/8
Evaluate
[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = 25
Hence, the value of the expression [6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] is 25
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what is the answer to -24-(-19)
[tex] \tt{ \\ - 24 - ( - 19) \\ \\ \green \rightarrow - 24 + 19 = - 5}[/tex]
The area of a square poster is 38 in.². Find the length of one side of the poster to the nearest tenth of an inch.
The length of one side of the poster is
(Round to the nearest tenth as needed.)
in.
Answer:
6.1 inches
Step-by-step explanation:
You need to find the square root of 38 which is 6.1 when rounded to the nearest ten
Is the following relation a function? x y (1 4 )(−1 −2 )(3 10)( 5 16) a Yes b No
The relation defined by the given set of coordinates → (1, 4) , (−1, −2 ) , (3, 10) , (5, 16) represents a function.
What is function?
A function is relation between a dependent [x] and independent [y] variable . The value of the dependent variable [y] depends upon the value of the independent variable [x].
Given is a relation defined by the following set of coordinates -
(1, 4) , (−1, −2 ) , (3, 10) , (5, 16).
For a given relation, defined by the given set of coordinates to be a function, there should be a unique value of y-coordinate for a unique value of x-coordinate. However, the value of y-coordinate can be same for different values of x-coordinates. From the relation given, we can see that - for every value of x, there are unique values of y. Hence, the given relation is a function.
Therefore, the relation defined by the given set of coordinates → (1, 4) , (−1, −2 ) , (3, 10) , (5, 16) represents a function.
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2(x-3) + 5x less than or equal to 9x - 14
Answer: It would most llikely be more than, but im not sure.
Tom has one hundred forty-four blue marbles. Tom has eighteen times more blue marbles than Mike. How many blue marbles does Mike have?
Answer:
18 Blue Marbles
Step-by-step explanation:
Let M be the number of blue marbles that Mike has.
From the information from the question, we can deduce:
18M = 144 blue marbles
Now we solve for M to find the number of blue marbles that Mark has.
M = 144 ÷ 18
= 8 Blue Marbles
An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. The actual book is blank inches
The size of the actual book is 9 inches. The actual book is 18 inches long and is blank inside.
What is an inch?The inch is used as a unit of length in both the British imperial and American customary measurement systems. It is the same as one-twelfth of a foot or one-third of a yard.
What is meant by measuring?The characteristics of an object or event are measured and quantified so that they can be contrasted with those of similar objects or occurrences. Therefore, measurement is the process of determining the size or smallness of a physical quantity in relation to a primary reference quantity of a similar kind.
based on the available facts;
we use formula, wide/tall
wide=1.5inches
tall = 3inches
wide/tall=1.5/3=9/x
(equal ratio)
1.5x=9*3
x=27/1.5
x=18
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