Answer:
1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]
Step-by-step explanation:
We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, [tex]\bar x[/tex], approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is [tex]\left | \bar{x} - \mu \right |[/tex]
1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]
Where:
σ = Population standard deviation = $30
z = z value at 95% confidence level = 1.96
[tex]\bar x[/tex] = Sample mean $160
n = Sample size = 10
Plugging in the values, we have;
$141.4 < [tex]\bar x[/tex] < $178.6
Hence the expected value of the mean should be between $141.4 and $178.6.
Hattie accepted a job as a makeup artist after being offered a $550 signing
bonus. If she makes $32 an hour, which equation models Hattie's total pay y,
in dollars, as it relates to the number of hours x that she works?
The equation would be y=32x+550. 32 an hour is represented by 32x since she earned 32 an hour. 550 is the extra amount she is getting paid.
I hope this helps.
Answer:
y=32x+550
Step-by-step explanation:
What is the shape of the graph of the function?
h(t) = 0.32 - 0.5t
Its pretty obvious since the other answer has 1 star, but its B. I got it right on khan academy:)
The correct statement is option A)
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The graph of the function h(t)=0.32-[tex]0.5^t[/tex]
which can be re written as h(t)= [tex]\frac{8}{25}[/tex] - [tex]\frac{1}{2} ^t[/tex]
Thus clearly as the value of t increases or as we move from negative to positive values the graph of the function tends towards zero and is negative for negative values of t.
For instance, at t= -4 we have
8/25 - 16=15.68
and at t=4 we have
8/25 - 1/16 =0.2575
And it intercepts the x-axis at (1.644,0)
Clearly h(t) is smaller for negative values of t and higher for higher values of t and thus has a upward curvature when we input the values from left to right.
Hence, The curve should slowly bend towards x-axis and option A is the correct answer because the graph is higher values for higher values of t.
Learn more about functions here;
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pls help will mark as brainliest
Answer:
1. Onesimus is the box 1
2. Gauls is box 8
3. Tarsus is box 3
4. Damascus is box 6
5. Ephesus is box 9
6. Colossae is box 12
7. Thessolonica is box 4
8. Ananias is box 2
9. Philippians is box 7
10. Tychicus is box 10
11. Phoebe is box 5
12. Epaphrase is box 11
Step-by-step explanation:
Hope this helps.
what time will it be 2 1/2 hours later after 5:55pm
Answer:
8:25
Step-by-step explanation:
Put in order the steps
Debbie wants to plan a monthly budget for her family. Sequence the steps that Debbie needs to take for preparing her personal budget
categorize the expenses into those that
could be avoided and those that are not
avoidable (like mortgage payments)
write down all the expenses that the
family incurs for the month
cut down on the expenses that have been
identified as avoidable
translate the monthly budget into a yearly
budget to achieve long term goals
invest a small part of the money saved in
something that could help the money
increase in value
Answer:
-write down all the expenses that the family incurs for the month
- categorize the expenses into those that could be avoided and those that are not avoidable (like mortgage payments)
- cut down on the expenses that have been identified as avoidable
- invest a small part of the money saved in something that could help the money increase in value
- translate the monthly budget into a yearly budget to achieve long term goals
Step-by-step explanation:
Budgeting is the process by which revenues and expenses are estimated over a period of time.
Budgets are are usually reviewed occasionally to meet current needs.
The aim of budgeting is to allocate sufficient funds to meet set goals and to reduce waste.
The process of budgeting will involve enumerating expenses, identifying avoidable expense, cutting down avoidable expense, investing funds saved, and translate monthly to yearly budget in order to achieve long term goals.
Answer:
1) write down all the expenses that the family incurs for the month
2) categorize the expenses into those that could be avoided and those that are not avoidable (like mortgage payments)
3) cut down on the expenses that have been identified as avoidable
4) invest a small part of the money saved in something that could help the money increase in value
5) translate the monthly budget into a yearly budget to achieve long term goals
Step-by-step explanation:
Just took the test, good luck everyone!
Can someone help me with this? ;^;
Answer:
The mode would be 10
Step-by-step explanation:
Because it is there more than the others
hope this helps! =D
Answer:
10
Step-by-step explanation:
Question 1 (1 point)
A box of eleven chocolates contains: four Milk Chocolates, four Dark Chocolates, and three
White Chocolates. Find the probability you randomly select a chocolate that is a Milk
Chocolate or a Dark Chocolate.
Find P(Milk Chocolate U Dark Chocolate)
72.7%
0 66.7%
33.3%
15.4%
A triangle has angles that measure 59°, 48°, and 73°. What kind of triangle is it?
Answer: it is an isosceles triangle
Step-by-step explanation:
all three angles are lower than 90 degrees. if the angles were all higher than 90 degrees the triangle would be considered obtuse. even though all the angles are lower than 90 degrees, it would also be considered acute.
what is s10 for 1 + 2 + 4 + 8+...
256
511
1023
2047
Answer:
1023
Step-by-step explanation:
[tex] S_n = \dfrac{a(1 - r^n)}{1 - r} [/tex]
a = first term
r = common ratio
n = number of terms
Here we have
a = 1
r = 2
n = 10
[tex] S_{10} = \dfrac{1(1 - 2^{10})}{1 - 2} [/tex]
[tex] S_{10} = \dfrac{1 - 1024}{-1} [/tex]
[tex] S_{10} = \dfrac{-1023}{-1} [/tex]
[tex] S_{10} = 1023 [/tex]
Of course, since 10 is not such a large number of terms, you can simply do this:
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023
Use the Remainder Theorem to find the remainder for (2x^3- 3x^2+x)/(x-1) and state whether or not the binomial is a factor of the
polynomial.
As 2x³ - 3x² + x is completely divisible by x - 1 it is a factor of the polynomial.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial 2x³ - 3x² + x which is being divided by x - 1.
Now, If 2x³ - 3x² + x is divisible by x - 1 then x = 1 is a root of the polynomial
2x³ - 3x² + x.
Therefore,
2(1)³ - 3(1)² + 1 = 0
2 - 3 + 1 = 0.
3 - 3 = 0.
0 = 0.
So, The binomial x - 1 is a factor of the polynomial.
learn more about the remainder theorem here :
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Which fraction is equivalent to 15/30
A 3/4
B 2/4
C 3/5
D 5/6
Answer:
2/4
Step-by-step explanation:
What is the solution to the equation ^3sqrtX+4+ ^3sqrt2X+8=0?
x = –12
x = –4
x = 4
x = 12
Answer:
Cover 2
Step-by-step explanation:
Answer:
Uhh x is like -4 bruh
Step-by-step explanation:
So b on edge ye
many organize a classroom party. there are 20 of cold drinks at the party, 13 of which contain diet Pepsi, what is the probability that randomly selected drink will be a diet Pepsi? answer key
Answer:
so its either 13/20
Step-by-step explanation:
if you get this wrong sorry:(
Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2
Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2
Answer:
A
Step-by-step explanation:
Answer:
A) 107 inches2
Step-by-step explanation:
4*16= 64
64/2 = 32
9+16 = 25
25/2 = 12.50
12.50*6 = 75
32 + 75 = 107
Got it right in USA TESTING
find x and y i will give brainliest
Answer: N= 135, M=45.
Step-by-step explanation:The formula to find the degree inside of a shape is: (n-2)180. This is an octagon, so it has 8 sides, plug this in for n.
8-2 * 180
1080 divide by 8 to get the value of n
n=135
The formula for an angle outside of the shape is:
360/n n is still eight, so plug this in for n
360/8
m=45
Answer:
n = 135 degrees ( ° ) ,
m = 45 degrees ( ° )
Step-by-step explanation:
* Sorry I didn't answer this before *
1. In this figure we can see that this visual is a representation of an octagon, provided it's 8 sides.
2. Knowing this, let us split this figure into triangle 180 degrees each ⇒ compute the total interior angles in degrees.
3. If you were to draw lines from one vertex to any other non-adjacent vertices, it would be that 6 triangles are formed.
4. One triangle ⇒ 180 degrees ( ° ) so that this octagon ⇒ 180° * number of triangles, or ⇒ 180 * 6 = 1080°
5. Knowing that this shape is a regular polygon, all angles are congruent such that if x represents one interior angle ⇒ 8x = 1080, ⇒ x = 135°. As n acts as one of the interior angles in this figure ⇒ n = 135 degrees ( ° )
6. Now through supplementary angles, the interior angle adjacent to angle m would form a linear pair, adding to 180°.
7. This would mean that m + interior angle = 180, and as all interior angles were found to be 135 degrees ⇒ m + 132 = 180 ⇒ m = 45 degrees ( ° )
What number is the opposite of 98?
Answer:
-98
Step-by-step explanation:
hope this is right
Answer:
-98
Step-by-step explanation:
a negative number is the opposite of a positive number
Which sentence is true?
A. - 3 > - 7
B. - 2 < -9
C. 4 < -1
D. - 5 > 0
Answer:
A
Step-by-step explanation:
I believe A. is true for the question
Find the value of x.
Answer:
x=51
Step-by-step explanation:
Formula: 35+16=x
Step 1: Simplify both sides of the equation.
35+16=x
(35+16)=x(Combine Like Terms)
51=x
51=x
Step 2: Flip the equation.
x=51
Hope this helps.
Help ASAP please ! Also explain how you got it
Answer:
I believe that the answer is C.
Step-by-step explanation:
CAN YOU HELP ME ON NUMBER 19
WHOEVER COMES FIRST I WILL GIVE 5 STARS I PROMISE :)
Answer:
i think it's b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It would be B because there are different number spikes in the different ages for the different reasons. Therefore there is no association with the two ages
KN and JM are diameters of circle I. Find m LIM.
Answer:
46 degrees
Step-by-step explanation:
30 points + brainly
Question one ( both questions use the same picture)
The histogram below represents the heights of the Boston Celtics. What size are the intervals on the histogram?
2 inches
3 inches
4 inches
5 inches
Question 2
The histogram below represents the heights of the Boston Celtics. Which of the following statements is true?
The mode interval of this set is 79” – 81”.
There are more players between 73” and 75” than there are between 82” and 84”.
The most number of players are in the interval between 76” and 78”.
The fewest number of players are in the interval between 82” and 84”.
Answer: 3 inches
The mode interval of this set is 79” – 81”.
Step-by-step explanation: You are looking for the mode which means the one that occurs most frequently
HURRY STRANGERS PLEASE I REALLY NEED THIS!!! A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three stacks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company.
Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish.
Answer:
Step-by-step explanation:
Base on my own understanding what should be done is that three stacks will not work, because it wont be a symmetric arrangement and also one will be left out. So, two stacks of five each would be better and easy to carry. But the stacks should be arranged in such a manner that the lengths will be parallel to each other and not in-line which would increase the length making it comparatively very long. its easier to hold a (2*8.5,11,2*5=17,11,17) compact box, because it will be easy to carry a long and not heavy.
A painter pays $15 per can of paint. How many cans of paint can she buy with $1052
Answer:
70 cans
Step-by-step explanation:
1052/15=70.1333333
but you have to round down to 70
ANSWER: 70
EXPLANATION:
In Miami, the number of highway accidents increased by 20% over a four year period. How many accidents were there in 2013 if there were 5.120 in 2009?
Answer:
Step-by-step explanation:
20/100 * 5,120 = 1024
Number of cases in 2013 = 1024 + 5120 = 6,144 cases
Two different sports teams are doing fundraising to be able to afford their uniforms. The softball team needs to raise $318.12 between the twelve girls on the team. The hockey team needs to raise $391.92 between the 24 boys on the team. If each player raises the same amount of money, does each softball player or hockey player need to raise more? How can estimation help you solve?
Answer: A softball player will need to raise more.
Step-by-step explanation:
The softball team needs to raise $318.12 among the twelve girls on the team. Each softball player needs to raise:
$318.12 ÷ 12 = $26.51
The hockey team needs to raise $391.92 among the 24 boys on the team. Each hockey player will raise:
$391.92 ÷ 24 = $16.33
A softball player will raise $26.51 while a hockey player will raise $16.33. Therefore, a softball player will need to raise more.
What number should both sides of the following equation be multiplied by to solve for x?
x/7.25 = 4
4
7.25
7
29
Answer:
[tex] \frac{x}{7.25} = 4 \\ x = 4 \times 7.25 \\ x = 29[/tex]
I will give you all five stars ⭐⭐⭐⭐⭐
Answer:
B
Step-by-step explanation:
Seeing as the change is consistent within the vertices, this would be correct.
please anwser this picture
Answer:equal
Step-by-step explanation:
Answer equal
Step-by-step explanation:
Help ASAP please ! Explain too if you can
Answer:
B
Step-by-step explanation:
180-118=42 so angle c=42
add 42 +76 =138
in a triangle all degrees ad up to 180 so
subtract 138 from 180=42
Answer:
B) 42 degrees
Step-by-step explanation:
If we're looking for the measure of angle E, we need to know the measures of angles D and C too. (Otherwise we just have nothing to work with.)
So they already give us angle D's measurement, which is 76; we just have to find the smaller angle at C and then solve for E. If this doesn't make sense, just look at C; there's a big angle (118) and a small one that we don't know. We have to find the small one.
Well at C there's just a straight line, so we can assume that the big angle and the small angle add up to 180 degrees, because straight angles are always 180 degrees.
Now to get the small angle, we can take 118 away from 180 to get 62, which will be the measure of the smaller angle. (Comment if you don't know why I did this.)
Now that we know two out of three measures in the triangle, we can find the measure of angle E. All triangles' angles add up to 180 degrees, so we can take away 76 (measure of D) and 62 (measure of small C) from 180 to get the measure of E: 180 - 76 - 62 = 42
So the measure of angle E is 42.
