Answer:
She gave 2 pans to her friend.
She gave 1/2 pan to her teacher.
She has 1.5 pans left.
Step-by-step explanation:
A regional office of the Internal Revenue Service randomly distributes returns to be audited to the pool of auditors. Over the thousands of returns audited last year, the average amount of extra taxes collected was $356 per audited return. One of the auditors, Jeffrey Jones, is suspected of being too lenient with persons whose returns are being audited. For a simple random sample of 30 of the returns audited by Mr. Jones last year, an average of $340 in extra taxes was collected.
Required:
Assuming a normal population of extra taxes collected with a standard deviation of $90, do the suspicions against Mr. Jones appear to be justified?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 356[/tex]
The sample size is n = 30
The sample mean is [tex]\= x = \$340[/tex]
The standard deviation is [tex]\sigma = \$ 90[/tex]
The null hypothesis is [tex]H_o : \mu = \$ 35 6[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne \$ 35 6[/tex]
Let assume the significance level is [tex]\alpha = 0.05[/tex]
Generally the test statistic is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]
=> [tex]t =-0.9737 [/tex]
Generally the sample size from the question is small that it is not greater than 30 hence we use t-test
Now the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 30- 1[/tex]
=> [tex]df= 29[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P (t > -0.9737 )[/tex]
Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of [tex]df= 29[/tex] for a two -tailed test is
[tex]P (t > -0.9737 ) = 0.33825793[/tex]
Hence p-value is
[tex]p-value = 2*0.33825793[/tex]
[tex]p-value = 0.676 [/tex]
From the value we obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified
Dean walked from the library to the mall. For the
first 12 minutes, he walked at a speed of 80
m/min, but then he slowed his speed to 68
m/min for next 7 minutes. If he was still 130 m
away from the mall, what was the distance
between the library and the mall?
If f(x) and its inverse function, f'(x), are both plotted on the same coordinate plane, what is their point of
intersection?
Answer:
The plot coordinates are (3,3).
Step-by-step explanation:
Given:
A function f(x) and its inverse is f-1(x)
To find :
The plot of the coordinates for the intersection.
Solution:
Now we know that inverse function is changing the y=f(x) and then
changing to x to y and y to x
So given function is f(x)
Inverse function is y,
But value of inverse function is f-1(x)
So y=f(x)=f-1(x)
Therefore it becomes
y=x
Hence the value is y=x coordinates
Select the values that correctly complete the problem. a = b = c = d = e =
Answer: 2/3 = b/ac = d/e
Step-by-step explanation:
This is all I got if I got it right. Is this one of your answers?
Answer:
a= 2
b=4
c=3
d=2
e=3
Step-by-step explanation:
i hope this helps.
Charlie has 468 onions to sell. He puts 12 onions in each bag, and he sells the bags for $8 each. What is the answer?
Answer:
312 $
Step-by-step explanation:
468 / 12 = 39 bags
8 x 39 = 312 $
so the answer is 312$
Maria makes money
by commission rates.
She gets 15% of
everything she sells. If
Maria sold $23,000
worth of items this
month, what is her
salary for the month?
Show your work on
the slide!
Answer:
Monthly salary = $3450
Step-by-step explanation:
In this problem, it is given that, Maria gets 15% of everything she sells. If Maria sold $23,000 worth of items this month, we need to find her salary for the month.
It means we need to find the 15% of $23,000 to find her salary. Let the salary be x.
ATQ,
[tex]x=15\%\ \text{of}\ 23000\\\\x=\dfrac{15}{100}\times 23000\\\\x=\$3450[/tex]
Hence, her salary for the month is $3450.
Salary of Maria for the month is $3,450
Given that;
Amount of item sold by Maria = $23,000
Percentage of commission = 15%
Find:
Salary of Maria for the month
Computation:
Salary of Maria for the month = Amount of item sold by Maria × Percentage of commission
Salary of Maria for the month = $23,000 × 15%
Salary of Maria for the month = $3,450
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I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!
Answer:answer is b
Step-by-step explanation: Just makes since
What is the measure of angle b?
Answer:
if those lines are parallel, then the m∠ = 92°
Step-by-step explanation:
The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines.
Simplify the following expression.
5.3x − 8.14 + 3.6x + 9.8
A.
-2.84x − 1.66
B.
8.9x + 17.94
C.
-2.84x + 17.94
D.
8.9x + 1.66
Answer:
D
Step-by-step explanation:
5.3x − 8.14 + 3.6x + 9.8
group the numbers on one side and the x's on the other
5.3x + 3.6x - 8.14 + 9.8
solve
8.9x + 1.66
A box contains three types of fruits:
apples, bananas, and pears. There are
20 pieces of fruit in all. Of these, 3 are
apples and 11 are bananas. What is the
ratio of pears to bananas?
A 6: 11
B 11 : 6
C 3:11
D 11:3
Answer:
A
Step-by-step explanation:
Stacy has 6 fewer than half as many marbles as Mallory .If Stacy has thirty marbles how many does Mallory have
Answer:
72
Step-by-step explanation:
Stacy has 30 marbles
Let m= the number of marbles that mallory has
stacy has 1/2 m -6
30 = 1/2 m -6
Add 6 to each side
30+6 = 1/2m
36 = 1/2m
Multiply each side by 2
72 = m
Mallory has 72 marbles
Answer:
72
Step-by-step explanation:
I'm cool and the guy above me stinko
You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Answer:
110d + 80 > 1620
d > 14
Step-by-step explanation:
The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d
Add 80 to this to represent the bonus points.
Use a greater than inequality, because you have to get more than 1620 points.
Put this all together:
110d + 80 > 1620
Then, solve for d:
110d + 80 > 1620
110d > 1540
d > 14
So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.
Round 34,138 to the nearest thousand??
Answer:
34,138 to the nearest thousand is 34,000!
Step-by-step explanation:
Hope this helps! Good luck! <3
Answer:
0
Step-by-step explanation:
pls help meeeeeeeeeeee!!
Answer:
45 with a remainder of 27.
Step-by-step explanation:
Hope this helps you! Good luck! <3
Find the value of X.
Answer:
x = 59
Step-by-step explanation:
34 + x - 30 + 5x + 2 = 360
34 - 30 + 2 + x + 5x = 360
4 + 2 + 6x = 360
6 + 6x = 360
6x = 354
x = 59
Hope this helped!
The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.
Answer:
Domain=All Real Numbers Range=y>2
Step-by-step explanation:
Since the graph expands infinitely across the x axis it is all real numbers
Since the Y covers all the numbers above 2 it is y>2
After 2 weeks of training Amanda learned a total of 5 appetizer recipes after 6 weeks of training how much appetizers will she learn
Answer:
15
Step-by-step explanation:
After 6 weeks of training, Amanda will learn 15 recipes.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Recipes learned by Amanda after 2 weeks of training = 5.
After 6 weeks of training, the number of recipes are required.
To find the number of recipes,
Use ratio property,
After 2 weeks of training = 5 recipes
After 1 week of training = 5/2 recipes.
Therefore, after 6 weeks of training = (5/2) x 6 = 15 recipes.
Amanda will learn 15 recipes after 6 weeks of training.
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In a study of the effect of aluminum intake on the mental development of infants, a group of 54infants who had been born prematurely were given a special aluminum depleted intravenous-feeding solution. At an adjusted age of 18 months,the neurologic development of the infants were measured using the Bayley Mental Development Index (BMDI), a unitless scale with higher scores indicating higher development. They had a sample mean BMDI of 97.4 and a sample standard deviation of 18.0.The (BMDI) is similar to an IQ score, with 100 being the average in the general population.
Assuming all relevant assumptions are met, carry out the appropriate testto determine if infants who receivedthealuminum depleted intravenous-feeding solution had a significantly differentaverage BMDI score thaninthe general population. Be sure to include all the stepsfor full credit.
Given:critical value= = 2.00
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The no sufficient evidence to conclude that the average BMDI score is different from the general population
Step-by-step explanation:
From the question we are told that
The sample size is n = 54
The sample mean is [tex]\= x = 97.4[/tex]
The standard deviation is [tex]s = 18.0[/tex]
The population mean is [tex]\mu = 100[/tex]
The critical value is [tex]t_{critical } = 2.0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu}{\frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 97.4 - 100}{\frac{ 18}{\sqrt{54} } }[/tex]
=> [tex]t =-1.062[/tex]
Comparing the obtained t statistics with the critical value we see that
The critical value is not within the region of rejection (i.e -1.062 to 1.062 )
Hence the decision rule is
Fail to reject the null hypothesis
The conclusion is
The no sufficient evidence to conclude that the average BMDI score is different from the general population
Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying a scarves what do the parts of the expression 48s represents
The expression 48s represents the cost of the scarves.
Given
Emiko makes Shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves.
Let s represent the price of the scarves.
The cost of each scarves is 48.
Therefore,
The cost of scarves = Number of scarves × cost of each scarves.
The cost of scarves = s × 48
The cost of scarves = 48s
Hence, the expression 48s represents the cost of the scarves.
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Answer:In the expression 48s ,represents the number of scarves and 48 represents the price per scarf
Step-by-step explanation:
HELP ME PLSSS SOMEONE HELPP ILL GIVE BRAINLIEST
tom sold 3 cars ( a total value of $112,500) in the month of january. it is paid only by commission for its seller. he receives a commission of 7%. what is tom’s salary for the month of january?
Answer:
First multiply 112,500 times 3 (because of the 3 cars) answer should be $337,500
Then do the percentage (7%) $23,625
I believe that 23625 is the answerrr
A person with a height of 2 meters stand near a tree. The tree casts a shadow that is 30 meters long and the person has a shadow that is 3
meters long. What is the height of tree
9514 1404 393
Answer:
20 m
Step-by-step explanation:
The 30 m shadow of the tree is 10 times the 3 m length of the person's shadow. We expect the tree to be 10 times as tall as the person:
10(2 m) = 20 m . . . height of the tree
Describe how to plot point A(-6, 2) on a coordinate plane.
Answer:
Read the explanation
Step-by-step explanation:
Go to desmos (website) and open the Graphic Calculator (or you can use any graphic calculator) . Then in one of the text boxes on the side write A(-6,2) and it'll plot it. Or make a paper graph (Make sure the lines are spaced out correctly) and go to -6 on the x axis and 2 on the y axis, the point in which those 2 intecept is the plotted dot. Or print a graph and plot it there, both work.
oliver runs a mile in 6 minutes. he left his house and ran 2 miles north, 3 miles east, then run back to his house. what was the total distance of olivers run
Answer:
10 miles
Step-by-step explanation:
You add 2+3+2+3 which equals 10. The information about him running a mile in 6 minutes is completely irrelevant, they did that to confuse you.
On an architect's blueprint, 1 inch corresponds to 2 feet. Find the length of a wall represented by a line 2 1/2 inches long on the blueprint
A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s new elevation relative to sea level?
I think the answer is -51
What is equal to d? I’m sorry but I need help.
|2x+5|-4=16 find both answers
Answer:
x=7.5 and x=-12.5
Step-by-step explanation:
|2x+5|-4=16
|2x+5|=20
2x+5=20
2x=15
x=7.5
2x+5=-20
2x=-25
x=-12.5
Siobhan earned $45 babysitting on Friday. On Saturday, she babysat for 5 hours at $4 per hour. On Sunday she bought a DVD for $32. How
much money did she have left after buying the DVD?
$30
Work: 45+20=65
65-35=30
A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?
Can you please add a step by step
Answer:
4.8
Step-by-step explanation:
15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8
Answer:
4.8 meters
Step-by-step explanation:
[tex]\frac{15}{6} = 2.5[/tex] 12 ÷ 2.5 = 4.8 metersI hope this helps!
Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correctly describes the percent
change from last year to this year?
A
An increase of 10%
B
A decrease of 10%
С
An increase of 20%
D
A decrease of 20%
Answer:
C. An increase of 20%
Step-by-step explanation:
50/100 = 60/x
Cross products
50 x = 6000
Divide 50 by both sides
x = 120
60 is 120% of 50, so there is a 20% increase
Hope this helps!
-Jerc