The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $85 and a standard deviation of $20. If the management wants to give free gifts to at most 10.56% of the customers, what should the amount be above which a customer would receive a free gift?
Round your answer to two decimal places.
A customer should spend at least $___to receive a free gift.
Answers
The amount be above which a customer would receive a free gift is 110.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.
μ₀ = 85
σ = 20
z (score) = 1.25
Now,
z = ( X - μ₀ )/σ
1.25 = ( X - 85 ) / 20
25 + 85 = X
X = 110
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Related Questions
You are having a pizza-making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (including yourself, the host). Once you have a total count of guests, you buy exactly the needed amount of all the ingredients. The dough and sauce that you buy weigh 130 ounces all together.
How many ounces of dough did you buy?
Answers
Answer:
how many people are there, does it say?
Step-by-step explanation:
Answer: 78 ounces of dough
Step-by-step explanation:
You bought 78 ounces of dough and 52 ounces of sauce
What does Q equal to
Answers
Evaluate the expression 2(2x-3y)-5xy where x=-2 and y=-1
Answers
Answer:
-12
Step-by-step explanation:
2 (2x-3y)-5xy
4x-6y-5xy
4(-2)-6(-1)-5*-2*-1
-8+6-10
-12
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
11.8 7.7 6.5 6.8 9.7 6.8 7.3
7.9 9.7 8.7 8.1 8.5 6.3 7.0
7.3 7.4 5.3 9.0 8.1 11.3 6.3
7.2 7.7 7.8 11.6 10.7 7.0
a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: ?xi = 219.5.] (Round your answer to three decimal places.)
MPa
State which estimator you used.
x
p?
s / x
s
x tilde
(b) Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%.
MPa
State which estimator you used.
s
x
p?
x tilde
s / x
(c) Calculate a point estimate of the population standard deviation ?. [Hint: ?xi2 = 1859.53.] (Round your answer to three decimal places.)
MPa
Interpret this point estimate.
This estimate describes the linearity of the data. This estimate describes the bias of the data. This estimate describes the spread of the data. This estimate describes the center of the data.
Which estimator did you use?
x tilde
x
s
s / x
p?
(d) Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa. [Hint: Think of an observation as a "success" if it exceeds 10.] (Round your answer to three decimal places.)
(e) Calculate a point estimate of the population coefficient of variation ?/?. (Round your answer to four decimal places.)
State which estimator you used.
p?
x tilde
s
s / x
x
Answers
Mean value for the given data is 8.129, median = 7.7, Standard deviation is 1.699, Probability for MPa value greater than 10 is 0.148 and Coefficient of variation = 20.9
a) To estimate the mean value, we have to calculate all the observations and divide it by number of observations.
x = ∑ xi / n = 219.5/27 = 8.129
So here the estimator used is x
b) To estimate the strength value or to separate weakest 50% from strongest 50%, we have to calculate the median. For that we have to arrange in ascending order and find the middle most term.
Since n is odd, middle term is (n+1)/2 th term = (27+1)/2 = 28/2 = 14th term. Ascending order is given as image. the 14th term is 7.7.
c) Next we have to calculate standard deviation
σ = √(∑xi² - (∑x)²/n)/(n-1) = [1859.53 - (219.5²/27)] /(27-1)
= (1859.53- 1784.454) / 26
= 1.699
d) We have to calculate the probability flexural strength greater than 10. Here there are 4 values above 10.
So, p = 4/27 = 0.148
e) Coefficient of variation = (σ/x) ×100
= \(\frac{1.699}{8.129} * 100\)
= 20.9
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Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
Answers
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Find the domain of f(x) and the interval.
f(x)=√x² - 2x +48
Answers
Answer:
Step-by-step explanation:
go pathways gives all the answers
A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag contain?
Answers
Answer:
50 yellow marbles.
Step-by-step explanation:
Information:
170 marbles
RED : BLUE : YELLOW
9 : 3 : 5
Solving:
To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.
Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.
The bag contains 170 marbles and the ratio adds up to 17 parts.
We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.
\(\frac{170}{17}\) = 10.
1 part = 10
Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.
5 x 10 = 50.
Therefore we have 50 yellow marbles.
The number of yellow marbles in the bag is 50
Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values. For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.
In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.
Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles
Sum of ratios = 9 + 3 + 5 = 17
(5 / 17) x 170 = 50 marbles.
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17.
Mrs. Mitchum is going to invest $450 into a savings account with a compound interest rate of 4.5%
compounded annually. Which of the following could NOT be the yearly interest earned for each of
the first four years? Round to the nearest cent.
$20.55
B.
$21.16
c.
$22.11
D.
$23.11
Answers
Answer:
B 21:16
Step-by-step explanation:
v7gjv fy y gDyne 6
Find x in the given figure.
Answers
So let’s calculate “6”: 180° - 55° = 125°
Therefore x = 125°
5x + x2 + 8y - 2x + 3x2
Answers
Hello
= 5x - 2x + x² + 3x² + 8y
= 3x + 4x² + 8y
good day ;)
8. Choose all decimals that are equivalent to (7 x 100) + (5 × 1) + (8 × 7) + X 10 (1 × 100). 75.081 705.810 705.801 75.810 705.81 705.081
Answers
Answer:
705.81 and 705.810
Step-by-step explanation:
700 + 5 + 0.8 + 0.01 = 705.81
Answers:
705.810
705.81
A polygon with an area of 10 square inches is dilated by a scale factor of 4, what is the new area?
Answers
The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.
Which number is composite?
53, 81, 41, 47,31
O41
81
31
47
Pls hurry its a test
Answers
Answer:
81
Step-by-step explanation:
A composite number is a number that can be divisible by more than 1.
81 can be divisible by 1 and 9.
-kiniwih426
In a standardized IQ test scores are normally distributed, with a mean score of 100 and a standard deviation of 15 what is the highest score that would still plays a person in the bottom 10% of the scores
Answers
The 68-95-99.7 Rule Example
Figure 1 illustrates how to apply the 68-95-99.7 Rule to the distribution of IQ scores. In this example, the population mean is 100 and the standard deviation is 15. Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115.
two students weighed a 125 ml beaker that had a mass of 80.562g on a calibrated top-loading balance, recorded three mass readings for the beaker, then determine the average.
Answers
Answer:
60g/cm - 78grams . 2560ml
Step-by-step explanation:
The average of a dataset is the sum of the dataset divided by the count of the dataset.
The average mass readings of students A and B is 80560g
Given that:
\(Student\ A: 80,560\ 80,555\ 80,565\)
\(Student\ B: 80,400\ 79,551\ 81,729\)
The average mass is calculated using average formula
\(\bar x = \frac{\sum x}{n}\)
For both students
\(n = 3\) --- the number of mass readings
So, we have:
Student A
\(\bar x_A = \frac{80560 + 80555 + 80565 }{3}\)
\(\bar x_A = \frac{241680}{3}\)
\(\bar x_A = 80560g\)
Student B
\(\bar x_B = \frac{80400+ 79551+ 81729}{3}\)
\(\bar x_B = \frac{241680}{3}\)
\(\bar x_B = 80560g\)
Hence, the average mass readings of both students is 80560g
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Find the domain of the inverse function w-1 (x) . Express your answer as in inequality
Answers
Answer:
ANSWER
Step-by-step explanation:
Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.
If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).
For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.
Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.
A rectangle is removed from the middle of a larger rectangular shaped board. What is the area of the remaining board?
Answers
Answer:
The area of the remaining board is [(L × B) - (l × b)].
Step-by-step explanation:
Suppose the bigger rectangle is labelled as ABCD and the smaller rectangle is labelled as PQRS.
Consider that the length and breadth of the bigger rectangle are L and B respectively. And the length and breadth of the bigger rectangle are l and b respectively.
The area of any rectangle is:
Area = Length × Breadth
The area of the bigger rectangle is:
Area of ABCD = L × B
The area of the smaller rectangle is:
Area of PQRS = l × b
Then the area of the remaining board will be:
Area of remaining board = Area of ABCD - Area of PQRS
= (L × B) - (l × b)
Thus, the area of the remaining board is [(L × B) - (l × b)].
Answer:
112
Step-by-step explanation:
Tanisha works 10,000 feet from her home. She bikes to work at a steady rate of 500 feet per minute. Use that information and the diagram to complete the table below.
Answers
\(\boxed{\begin{array}{c|c|c}\boxed{\bf Time (min)}&\boxed{\bf Distance\: traveled(ft)}&\boxed{\bf Distance\: remaining (ft)}\\ \rm 1 &\rm 500&\rm 9500 \\ \rm 2&\rm 1000&\rm 9000\\ \rm 5&\rm 2500 &\rm 7500 \\ \rm 10 &\rm 5000 &\rm 5000 \\ \rm 20 &\rm 10000 &\rm 0\end{array}}\)
Hope I helped
Answer:
The person on the top is right.
Step-by-step explanation:
In decimal form, 3/20 is a
Answers
Answer:
0.15
Step-by-step explanation:
Do 3 divided by 20
Answer:
0.150
just divide them both
471,284 rounds to what number
Answers
Answer:
470,000
Step-by-step explanation:
since it is rounding, it would be to 470000.
You might have noticed that the numbers, or frequencies, on an old radio dial are not evenly spaced. There is, however, some pattern to the placement of these frequencies. You will analyze this data and answer the following questions.
frequency reading on the radio dial (kilohertz)
53
60
70
80
100
120
140
170
distance from the left end of the radio dial (centimeters)
1.54
2.17
2.95
3.62
4.75
5.67
6.45
7.43
1. a. What is the independent variable and what are its units?
b. What is the dependent variable and what are its units?
2. Make a scatter plot of the data. Describe the data set based on the scatter plot.
b. What do you expect to happen to the distance from the left end of the radio as the frequency gets higher?
c. What do you expect to happen to the distance from the left end of the radio as the frequency gets smaller?
Answers
1a. The independent variable is the frequency reading on the radio dial and its unit is kilohertz (SI Unit is Hertz or hz)
b. The dependent variable is the distance from the left end of radio dial and its unit is centimeter (SI Unit is metre)
What is an Independent Variable?A variable that is independent is precisely what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to assess. Age, for instance, could be an independent variable.
2. The required scatter plot of frequency reading on the radio dial (khz) vs distance from the left end of the radio dial (cm) was obtained.
a. The data set indicates that the present variable is increasing with an increase in value with concave upward. The increase is steeper for lower frequencies, while for higher frequencies, it is moderate.
b. As the frequency gets higher, the distance from the left end of the radio dial will increase.
c. As the frequency gets smaller, the distance from the left end of the radio dial will decrease.
d. The values for a is 4.98802 and b is -18.2939
The best curve fit for data is y= 4.98802 ln (x) - 18.2939
4. a. To find a station at frequency 93.3 kHz the distance from the left end of the dial is 4.2319 cm or by rounding off it is 4.23 cm
b. When the radio dial is tuned to be 4 cm from the left end of the radio it will pick up a radio station at a frequency of 89.062 kHz or by rounding off 89 kHz
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Gemma, a scuba diver, begins a dive on the side of a boat 4 feet above sea level. She descends 28 feet. Which integer represents Gemma’s position with respect to sea level?
–32
Answers
Answer:
-24 feet
Step-by-step explanation:
Boat is 4 feet above sea level => +4 feet
She descends 28 feet => -28 feet
Position = +4-28 = -24 feet
Therefore,
Gemma is 24 feet below the sea level
Answer:
-24 feet
Step-by-step explanation:
Because she is 4 feet above sea level, she can descend 4 feet to be at sea level. Now she only has to descend 24 feet below sea level, which is -24 feet.
Naomi was measuring and cutting yarn in inches for an art project.she cut 9 pieces of the yarn.
Answers
Answer:
i don't know this question but you can just measure it
To find the distance AB across a river, a distance BC=290 is laid off on one side of the river. It is found that B=117degrees and C=24degrees. Find AB.
Answers
The value of distance AB is 187.5 units
What is sine rule?Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other.
sine rule can be expressed as;
a/sinA = b/sinB = c/sinC
The opposite side to angle A is BC
the opposite side to angle C is AB
therefore;
A = 180-( 117 +24)
A = 180- 141
A = 39°
290/sin 39 = x/ sin24
xsin39 = 290 × sin24
0.629x = 117.95
x = 117.95/0.629
x = 187.5
therefore the distance AB is 187.5
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Question 1 of 5 Find the difference. (12m + 1) - (5m - 4) O A. 7m + 5 O B. 17m-3 O C. 17m+ 5 D. 7 m - 3
Answers
Answer: 7m + 5
Step-by-step explanation:
Distribute the Negative Sign:
=12m+1+−1(5m−4)
=12m+1+−1(5m)+(−1)(−4)
=12m+1+−5m+4
Combine Like Terms:
=12m+1+−5m+4
=(12m+−5m)+(1+4)
=7m+5
4. Kiberly found a box that had 27,955 yellow
paperclips, and a box that had 9,427 blue
paperclips. Which is the best estimate of the
difference of the yellow and blue paperclips?
A. 40,000
B. 19,000
C. 15,000
D. 17,000
Answers
The linear equation best estimate of the difference between the number of yellow and blue paper clips is option(b).
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables.
Number of yellow paper clips found in one box = 27955
Number of blue paper clips found in another box = 9427
We are asked to find the best estimate of the difference in the number of yellow and blue paper clips that Kimberly found.
The actual difference between the number of yellow and blue paper clips = 27955 - 9427 = 18528
An estimate of a number means the closest number that the actual number can be rounded off for simplifying calculations or understanding.
In this case, from the given options the closest number of 18528 is 19000.
Therefore option(b) is the best estimate of the difference between yellow and blue paper clips.
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2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
write the numer 3 1/2 in a/b form
Answers
Answer: 7/2
Step-by-step explanation:
3 1/2 in a/b form = 7/2
Hope it helped u,
pls mark as the brainliest
^_^
help pls asappp!!!no rocky!
Answers
Step-by-step explanation:
slope = -9
y - -4 = 9(x - 2)
y+ 4 = 9x -18
y = 9x - 22
Solve this I need it now
Answers
I can't see the top part