Answer:
The numerical limits for a B grade are 81 and 89, that is, a score between 81 and 89 gets a B grade.
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.
Scores on the test are normally distributed with a mean of 79.7 and a standard deviation of 8.4.
This means that [tex]\mu = 79.7, \sigma = 8.4[/tex]
B: Scores below the top 13% and above the bottom 56%
So between the 56th percentile and the 100 - 13 = 87th percentile.
56th percentile:
X when Z has a p-value of 0.56, so X when Z = 0.15. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.15 = \frac{X - 79.7}{8.4}[/tex]
[tex]X - 79.7 = 0.15*8.4[/tex]
[tex]X = 81[/tex]
87th percentile:
X when Z has a p-value of 0.87, so X when Z = 1.13.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.13 = \frac{X - 79.7}{8.4}[/tex]
[tex]X - 79.7 = 1.13*8.4[/tex]
[tex]X = 89[/tex]
The numerical limits for a B grade are 81 and 89, that is, a score between 81 and 89 gets a B grade.
A coffee distributor needs to mix a(n) Costa Rican coffee blend that normally sells for $9.10 per pound with a Arabian Mocha coffee blend that normally sells for $13.10 per pound to create 100 pounds of a coffee that can sell for $11.58 per pound. How many pounds of each kind of coffee should they mix?
9514 1404 393
Answer:
38 pounds Costa Rican62 pounds Arabian MochaStep-by-step explanation:
Let 'a' represent the number of pounds of Arabian Mocha in the mix. Then the number of pounds of Costa Rican blend is (100-a). The cost of the mix will be ...
9.10(100 -a) +13.10(a) = 11.58(100)
4a = 248 . . . . . . . . . . . . . collect terms, subtract 910
a = 62 . . . . . . . . . . . . divide by 4
62 pounds of Arabian Mocha and 38 pounds of Costa Rican blend should be mixed.
If interest is 8% and it is compounded semiannually, and after one year, the total value is $10,816, what was the original investment?
In May 2010, the Pew Research Center for the People & the Press carried out a national survey to gauge opinion on the Arizona Immigration Law. Responses (Favor, Oppose, Don’t Know) were examined according to groups defined by political party affiliation (Democrat, Republican, Independent). Which of the following would be appropriate for displaying these data?
a. Pie charts
b. Segmented bar chart.
c. Side by side bar chart.
d. Contigency table
Explanation:
It's most effective to use a contingency table because we have two variables here: 1) the responses, and 2) the party affiliation.
We can have the responses along the rows and the party affiliation along the columns, or vice versa.
See the example below. The values are completely random simply for the purpose of the example (and not drawn from any real life data source).
As per the given options, the appropriate for the displaying these data will be contingency table. Hence, option D is correct.
What is a Pie chart?A pie chart is a visual depiction of information in the shape of a pie, where the pieces of the pie represent the magnitude of the data. To depict data as a pie chart, you need a list of quantitative variables as well as categorical variables.
As per the given information in the question,
A contingency table in statistics is a particular kind of matrix-style table that shows the frequency of the variables. They are extensively utilized in scientific, engineering, business intelligence, and survey research.
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In your office desk drawer you have 10 different flavors of fruit leather. How many distinct flavor groupings can you make with your fruit leather stash?
SOMEONE HELP ASAP PLES NO EXPLANATOIN NEEDED PLS LEAVE UR ANSWER AS TEXT (SOME TIMES I CAN'T SEE IMAGES) THANK YOU SO MUCH!!!
Answer:
i cant see the image
Step-by-step explanation:
A fish story: The mean length of one-year-old spotted flounder, in millimeters, is 127 with standard deviation of 22, and the mean length of two-year-old spotted flounder is 158 with a standard deviation of 23. The distribution of flounder lengths is approximately bell-shaped. Part 1 of 4 (a) Anna caught a one-year-old flounder that was 155 millimeters in length. What is the z-score for this length
Answer:
The z-score for this length is of 1.27.
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.
One-year-old flounder:
Mean of 127 with standard deviation of 22, which means that [tex]\mu = 127, \sigma = 22[/tex]
Anna caught a one-year-old flounder that was 155 millimeters in length. What is the z-score for this length
This is Z when X = 155. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{155 - 127}{22}[/tex]
[tex]Z = 1.27[/tex]
The z-score for this length is of 1.27.
Suppose the sales (1000s of $) of a fast food restaurant are a linear function of the number of competing outlets within a 5 mile radius and the population (1000s of people) within a 1 mile radius. The regression equation quantifying this relation is (sales)
Answer:
[tex]Sales = 86.749[/tex]
Step-by-step explanation:
Given
[tex]Sales = 0.845*(competitors) + 5.79*(population) + 13.889[/tex]
[tex]Competitors = 4[/tex]
[tex]Population = 12000[/tex]
See comment for complete question
Required
The sales
We have:
[tex]Sales = 0.845*(competitors) + 5.79*(population) + 13.889[/tex]
Substitute values for competitors and population
[tex]Sales = 0.845*4 + 5.79*12 + 13.889[/tex]
[tex]Sales = 3.38 + 69.48 + 13.889[/tex]
[tex]Sales = 86.749[/tex]
1000^1000
i would like to simplify it into 10^x, how?
Answer:
10^3000
Step-by-step explanation:
1000¹⁰⁰⁰
= (10³)¹⁰⁰⁰
= 10^(3×1000)
= 10³⁰⁰⁰ or 10^3000
Answered by GAUTHMATH
Consider the proportion
8
k
=
5
2.7
Answer:
4.32 = k
Step-by-step explanation:
8/k = 5/2.7
We can solve using cross products
8* 2.7 = 5k
21.6 = 5k
Divide each side by 5
21.6/5 = k
4.32 = k
Answer: 5k = 21.6 and k = 4.32
there you go have a good day bye
Step-by-step explanation:
You are dealt one card from a 52-card deck. Find the probability that you are dealt a king or a red card.
Answer:
7/13
Step-by-step explanation:
Half the deck is red so there are 26 reds.
There are 4 kings but we already counted two of these in the 26.
So there are 26+2 red or king cards total.
The probability of selecting a king or red is 28/52.
This can be reduced by dividing top and bottom by 4: 7/13.
Two events A and B are _______ if the occurrence of one does not affect the probability of the occurrence of the other.
Answer:
Independent
Step-by-step explanation:
From the word independent, which means being able ot stand alone, that is the absence or presence of one has no impact on the outcome of each phenomenon. Two events A and B are said to be independent, if the occurence of one has no bearing on the probability or chance that B will occur. This means that each event occurs without reliance on the occurence of the other. This is different from mutually exclusive event whereby event A has direct bearing in the probability of the occurence of event B.
A school contains 140 boys and 160 girls. what is the ratio of boys to girls?
I need full working out please
Answer:
7 : 8
Step-by-step explanation:
that is the procedure above
In orders an ice cream cone filled to the top with ice cream, with 1 perfectly round scoop of ice cream on top. The cone and the scoop of ice cream both have a radius of 1.8 inches, and the height of the cone is 4.5 inches. What is the total volume of ice cream ian receives?
A. 24.4
B. 39.7
C. 3.4
D. 15.3
Answer:
39.7
Step-by-step explanation:
what is the factors of p(x)=x^2+7√2x+4
PLEAE HELP!
Answer:
aasha here it is.
Step-by-step explanation:
3x−1)(2x+3)
6x2+7x−3
=6x2+9x−2x−3
=3x(2x+3)−1(2x+3)
=(2x+3)(3x−1)
and hiii
Use the discriminant to determine how many and what kind of solutions the quadratic equation 2x^2 - 4x = -2 has.
Answer:
We can use three solution and they are
(1)completing the square
(2)quadratic formula
(3) factorisation method
The quadratic equation 2x^2 - 4x = -2 has two values .
What is quadratic equation ?According to our definition, a quadratic equation is one with degree 2, implying that its maximum exponent is 2. A quadratic has the standard form y = ax2 + bx + c, where a, b, and c are all numbers and a cannot be zero. All of these are examples of quadratic equations: y = x^2 + 3x + 1.Kind of solutions -(1)completing the square
(2)quadratic formula
(3) factorization method
Given,
quadratic equation 2x^2 - 4x = -2
2x² - 4x + 2 =0
Now solve this equation by factor,
2x² - 4x + 2 = 0
2x² - ( 2+2)x +2 = 0
2x² - 2x -2x + 2 = 0
2x(x- 1 ) -2 ( x -1) = 0
(2x - 2) ( x- 1) =0
2x - 2 = 0 or x - 1 = 0
x = 1 or x = 1
So, this equation has 2 value of x.
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When converting 5 1/4% to decimal, Mark wrote 5.25. Explain why his answer is wrong and write the correct answer.
Answer:
Below
Step-by-step explanation:
It is 5 1/4 PERCENT not just 5 1/4.
5 1/4 % = 5.25%
= 5.25/100
= 0.0525.
A candy company fills a package of candy with individually wrapped pieces of candy. The number of pieces of candy per package varies because the package is sold by weight. The company wants to estimate the number of pieces per package. Inspectors randomly sample 120 packages of this candy and count the number of pieces in each package. They find that the sample mean number of pieces is 18.72. Assume the population standard deviation of .8735. What is the point estimate of number of pieces per package
Answer:
The point estimate for the number of pieces per package is of 18.72.
Step-by-step explanation:
Point estimate of a population mean:
The mean of the sample gives an estimate for the population mean.
They find that the sample mean number of pieces is 18.72.
This means that the point estimate for the number of pieces per package is of 18.72.
how much water consumed by Aguilar family as shown in the meter reading
Answer:
?????????????????
Step-by-step explanation:
????????
By recognizing each series below as a Taylor series evaluated at a particular value of x, find the sum of each convergent series.
A. 1 + 1/5 + (1/5)^2 + (1/5)^3 + (1/5)^4 +.....+ (1/5)^n + .... = _____.
B. 1 + 5 + 5^2/2! + 5^3/3! + 5^4/4! +....+ 5^n/n! +....= _____.
The first sum is a geometric series:
[tex]1+\dfrac15+\dfrac1{5^2}+\dfrac1{5^3}+\cdots+\dfrac1{5^n}+\cdots=\displaystyle\sum_{n=0}^\infty\frac1{5^n}[/tex]
Recall that for |x| < 1, we have
[tex]\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]
Here we have |x| = |1/5| = 1/5 < 1, so the first sum converges to 1/(1 - 1/5) = 5/4.
The second sum is exponential:
[tex]1+5+\dfrac{5^2}{2!}+\dfrac{5^3}{3!}+\cdots+\dfrac{5^n}{n!}+\cdots=\displaystyle\sum_{n=0}^\infty \frac{5^n}{n!}[/tex]
Recall that
[tex]\exp(x)=\displaystyle\sum_{n=0}^\infty\frac{x^n}{n!}[/tex]
which converges everywhere, so the second sum converges to exp(5) or e⁵.
Question 4 of 10
Is the graph increasing, decreasing, or constant?
O A. Decreasing
O B. Constant
O C. Increasing
3х + 2 + (-5) in simplest form, thanks!
Answer:
3x-3
Step-by-step explanation:
3x has a variable attach, because no other numbers have a variable attached leave it alone.
2+(-5) are like terms so combine these two. 2+(-5)=-3
now put back in the equation
3x-3
HELP!! Image inculded
Answer:
B.[tex] \frac{ - 3}{ {x}^{2} - 5x + 6 }[/tex]
hope it helps
In the word PARADISE,how many pairs are there which have as many letters between them in the word as in the alphabet?
Answer:
three
P A R
A R A D
A D I S E
P Q R
A B C D
A B C D E
There are three such pairs of letters.
Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50 each, and kiwis are $0.30 each.How many of each kind did she buy if she bought 9 more pears than pineapples and 2 fewer kiwis than pears? Branliest if correct.
Answer:
Number of pineapples = 10
Number of pears = 10 + 9 = 19
Number of kiwis = 10 - 2 = 8
Step-by-step explanation:
Money = $ 13.5
Cost of a pear = $ 0.5
Cost of a pineapple = $ 1.5
Cost of a kiwi = $ 0.3
let the number of pineapple = p
Number of pears = p + 9
Number of kiwis = p - 2
Cost is
0.5 (p + 9) + 0.15 p + 0.3 (p - 2) = 13.5
0.5 p + 4.5 + 0.15 p + 0.3 p - 0.6 = 13.5
0.95 p = 9.6
p = 10
So, number of pineapples = 10
Number of pears = 10 + 9 = 19
Number of kiwis = 10 - 2 = 8
Answer:
3 pineapples 12 pears 10 kiwis
if A = {x:x<6,x€N} and B ={y:y<4,y€W}, list A-B and B-A
Answers:
A - B = {4,5}B - A = {0}==========================================================
Explanation:
Recall the following
N = set of natural numbers
N = {1,2,3,4,5,6,...}
W = set of whole numbers
W = {0,1,2,3,4,5,6,...}
The sets N and W are nearly the same set, except for W has 0 involved, while N does not. The triple dots say that pattern goes on forever.
From those infinite sets, we form the two finite subsets A and B like so
A = {x : x < 6, x is in N}
A = {x such that x < 6 and x is a natural number}
A = {1,2,3,5}
B = {y : y < 4, y is in W}
B = {y such that y < 4 and y is a whole number}
B = {0,1,2,3}
-------------------------------------------------
In short, we have these two finite sets
A = {1,2,3,4,5}B = {0,1,2,3}The notation A-B indicates we'll start with set A and kick out members of set B that are also in set A. This is known as set subtraction.
So we'll write out set A to get {1,2,3,4,5}
Then we cross off 1,2,3 in this set because these values are found in set B
We're left with {4,5}
Therefore A-B = {4,5}
---------------------------------------------------
To compute B-A, we do the same idea but in reverse.
Start with set B
{0,1,2,3}
and erase the items 1,2,3 since they are found in set A
We then find that
B-A = {0}
Even though we have 1 item, don't forget about the curly braces to say we have a set. Any set that has exactly 1 item in it is considered a singleton set.
Keep in mind that the singleton {0} is not the empty set. The empty set would have nothing inside it and we would say { } instead.
Find the missing term in the pattern.
Answer:
20
Step-by-step explanation:
Instructions: Solve the following linear
equation
4(n + 5) – 2(5 + 7n) = -70
n =
Answer:
Step-by-step explanation:
4*(n +5) - 2*(5 + 7n) = -70
4*n + 4*5 + 5*(-2) + 7n*(-2) = -70
4n + 20 - 10 - 14n = -70
4n - 14n + 20 - 10 = -70
- 10n + 10 = -70
Subtract 10 from both sides
-10n = -70 - 10
-10n = -80
Divide both sides by (-10)
n = -80/-10
n = 8
Step-by-step explanation:
sjbsbsbeekejebebheebebejekek
express the ratio as a fraction in it's lowest term.2mm:100cm
Answer:
2/1000 broken down to 1/500
Step-by-step explanation:
convert 100cm to mm
10mm-1cm
x-100
x=1000mm
since the question says as a fraction
2mm/1000mm
1mm/500mm
The ratio [tex]2mm:100cm[/tex] expressed as a fraction in its lowest term is [tex]\frac{1 mm}{500mm}[/tex].
To express the ratio 2mm:100cm as a fraction in its lowest term, we need to convert both measurements to the same unit.
Since 1cm is equal to 10mm, we can convert the ratio as follows:
[tex]2mm:100cm[/tex]
[tex]= 2mm : (100cm \times 10mm/cm)[/tex]
[tex]= 2mm : 1000mm[/tex]
Now, we can write the ratio as a fraction: [tex]\frac{2mm}{1000mm}[/tex]
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
[tex]\frac{2mm}{1000mm}[/tex]
= [tex]\frac{1 mm}{500mm}[/tex]
Therefore, the ratio [tex]2mm:100cm[/tex] expressed as a fraction in its lowest term is [tex]\frac{1 mm}{500mm}[/tex].
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Anyone know this question?
I need help, and I can’t figure it out
Step-by-step explanation:
put the value of f(x)
I think that you know
hope it is helpful for you
Answer:
4x + 2h - 1
Step-by-step explanation:
[tex]\frac{f(x+h) - f(x)}{h}[/tex]
[tex]\frac{(2(x+h)^2 - (x + h) + 5) - (2x^2 - x + 5)}{h}[/tex]
[tex]\frac{2x^2 + 4xh + 2h^2 - x - h + 5 - 2x^2 + x - 5}{h}[/tex]
[tex]\frac{4xh + 2h^2 - h}{h}[/tex]
4x + 2h - 1