The sum of two numbers is 22. Three times one number increased by five is the same as twice the other number decreased by four. What is the LARGER of the two numbers?
Answers
Answer: 15
Step-by-step explanation:
To solve this problem, we first need to translate the given information into a system of equations. Let's call the first number x and the second number y. Since the sum of the two numbers is 22, we know that x + y = 22.
The second statement says that three times one number increased by five is the same as twice the other number decreased by four. We can translate this into an equation by substituting x and y for the two numbers and using the given information:
3x + 5 = 2y - 4
Now that we have a system of equations, we can solve for x and y. First, we'll solve for x by adding four to both sides of the second equation:
3x + 9 = 2y
Then, we can divide both sides by three to get the value of $x$:
x = {2y - 9} / {3}
Next, we can substitute this expression for x into the first equation to solve for y:
y + {2y - 9} / {3} = 22
We can simplify this equation by multiplying both sides by three:
3y + 2y - 9 = 66
Combining like terms on the left side, we get:
5y - 9 = 66
Then, we can add nine to both sides to solve for y:
5y = 75
Finally, we can divide both sides by five to find the value of y:
y = 15
Now that we know the value of $y$, we can substitute it back into the expression for $x$ to find the value of $x$:
x = \frac{2 \cdot 15 - 9}{3} = \frac{27}{3} = 9
Since we want the larger of the two numbers, the answer is 15
Related Questions
please help me with this question
Answers
The amount should be charged to each attendee to cover the cost of the event is (300 + 45x) / x
Given,
The cost of a convention center to host an event = $300 + $45 per person attending
Number of attendees = x
We have to find a rational expression that represents how much you would need to charge each attendee in order to cover the cost of hosting the event.
Here,
Total cost for the event = Fixed cost + cost per person attending x number of person
Total cost = 300 + 45 × x
Total cost = 300 + 45x
Now,
The amount should be charged to each attendee to cover the cost of the event = (300 + 45x) / x
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Amadi is three times as old as Chima. The sum of their ages is 24
Answers
Answer:
Amadi: 20 years old
Chima : 4 years old
What is the symbol ~, if you're trying to find the probability of ~A?
the addition probability
the probability of the event not happening
the multiplication probability
None of these choices are correct.
Answers
The symbol ~ (tilde) is commonly used to represent the negation or complement of an event. When we refer to ~A, it means "not A" or "the complement of A." In terms of probability, ~A represents the event not happening or the event A occurring.
The area of a square is 36 sq.cm, then its perimeter is a) 24 cm b) 6 cm c) 144 cm d) 36 cm
Answers
Answer:
a
Step-by-step explanation:
the perimeter (P) of a square is the sum of the 4 congruent sides.
the area of a square is calculated as
area = s² ( s is the length of a side )
here area is 36 , then
s² = 36 ( take square root of both sides )
s = \(\sqrt{36}\) = 6
then
P = 4s = 4 × 6 = 24 cm
Question
If n(A) = 14, n(B) = 51, and n(An B) = 12, then what is n(A U B)?
Answers
The value of n(AUB) i.e. union of A and B is 53.
What are Intersections and Unions in Probablity?
The union of two sets results in a new set that contains all of the items from both sets. The union is abbreviated as A∪B or "A or B." The intersection of two sets yields a new set containing all of the members from both sets. The junction is denoted by the letters A∩B or "A and B."
Solution:
Given that,
n(A) = 14
n(B) = 51
n(A∩B) = 12
We know that thee formula is n(AUB) = n(A) + n(B) - n(A∩B)
Putting the values,
n(AUB) = 14 + 51 - 12 = 53
So, the answer for the value of n(AUB) = 53
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I need to use factorials and doing it step-by-step for the bio normal probability formula Please help me figure this A through C step-by-step they want the factorial symbol! When showing my workGiven the number of trials and the probability of success, determine the probability indicated: (Hint use binomial distribution formula use factorials ! in showing your work)n = 15, p = 0.4, find P(4 successes) n = 12, p = 0.2, find P(2 success ) n = 20, p = 0.05, find P(at most 3 successes) (hint for c. P (at most 3 successes) = P(x ≤3)= P(x= 0) + P(x = 1)+ P(x = 2)+ P(x = 3)I just got disconnected from my tutor who said it would take 20 minutes to song and help me go over it step-by-step so if you were that tutor or any tour available please contact
Answers
Binomial distribution formula:
\(P(x)=\frac{n!}{(n-x)!x!}*p^x*q^{n-x}\)________
n = 15, p = 0.4, find P(4 successes)
\(\begin{gathered} n=15 \\ x=4 \\ p=0.4 \\ q=1-0.4=0.6 \\ \\ P(x=4)=\frac{15!}{(15-4)!*4!}*0.4^4*0.6^{15-4} \\ \\ P(x=4)=\frac{15!}{11!*4!}*0.4^4*0.6^{11} \\ \\ P(x=4)=\frac{15\times14\times13\times12\times11!}{11!*4!}*0.4^4*0.6^{11} \\ \\ P(x=4)=\frac{15\times14\times13\times12}{4\times3\times2\times1}*0.4^4*0.6^{11} \\ \\ P(x=4)=1365*0.4^4*0.6^{11} \\ \\ P(x=4)=0.1268 \end{gathered}\)__________________
n = 12, p = 0.2, find P(2 success )
\(\begin{gathered} n=12 \\ x=2 \\ p=0.2 \\ q=1-0.2=0.8 \\ \\ P(x=2)=\frac{12!}{(12-2)!*2!}*0.2^2*0.8^{12-2} \\ \\ P(x=2)=\frac{12!}{10!*2!}*0.2^2*0.8^{10} \\ \\ P(x=2)=\frac{12\times11\times10!}{10!*2!}*0.2^2*0.8^{10} \\ \\ P(x=2)=\frac{12\times11}{2\times1}*0.2^2*0.8^{10} \\ \\ P(x=2)=66*0.2^2*0.8^{10} \\ \\ P(x=2)=0.2835 \end{gathered}\)_________________________
n = 20, p = 0.05, find P(at most 3 successes)
Find each part (P(x=0), P(x=1), P(x=2), P(x=3)) and then sum the results
\(\begin{gathered} n=20 \\ p=0.05 \\ q=1-0.05=0.95 \\ \\ \end{gathered}\)\(\begin{gathered} P(x=0)=\frac{20!}{(20-0)!0!}*0.05^0*0.95^{20-0} \\ \\ P(x=0)=\frac{20!}{20!*0!}*1*0.95^{20} \\ \\ P(x=0)=\frac{20!}{20!*1}*1*0.95^{20} \\ P(x=0)=1*1*0.95^{20} \\ P(x=0)=0.3585 \end{gathered}\)\(\begin{gathered} P(x=1)=\frac{20!}{19!*1!}*0.05^1*0.95^{19} \\ \\ P(x=1)=\frac{20\times19!}{19!*1}*0.05*0.95^{19} \\ \\ P(x=1)=20*0.05*0.95^{19} \\ P(x=1)=0.3774 \\ \end{gathered}\)\(\begin{gathered} P(x=2)=\frac{20!}{18!*2!}*0.05^2*0.95^{18} \\ \\ P(x=2)=\frac{20\times19\times18!}{18!*2\times1}*0.05^2*0.95^{18} \\ \\ P(x=2)=190*0.05^2*0.95^{18} \\ P(x=2)=0.1887 \end{gathered}\)\(\begin{gathered} P(x=3)=\frac{20!}{17!*3!}*0.05^3*0.95^{17} \\ \\ P(x=3)=\frac{20\times19\times18\times17!}{17!*3\times2\times1}*0.05^3*0.95^{17} \\ \\ P(x=3)=1140*0.05^3*0.95^{17} \\ P(x=3)=0.0596 \end{gathered}\)\(P(x\leq3)=0.3585+0.3774+0.1887+0.0596=0.9842\)The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Answers
The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.
The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.
parallelogram pqrs has diagonals PR and SQ that intersect at T find the value of X and Y
Answers
If a parallelogram PQRS has diagonals PR and SQ that intersects at T, then, T is the midpoint of PR and T is the midpoint of SQ
Given
\(\begin{gathered} PT=y \\ TR=3x+1 \end{gathered}\)\(y=3x+1\)Also
\(\begin{gathered} QT=3y \\ TS=4x+13 \end{gathered}\)\(3y=4x+13\)Now we are going to solve the system of equations with two unknowns
\(\begin{gathered} y=3x+1 \\ 3y=4x+13 \end{gathered}\)Substitute equation 1 into 2
\(\begin{gathered} 3(3x+1)=4x+13 \\ 9x+3=4x+13 \\ 9x-4x=13-3 \\ 5x=10 \\ x=\frac{10}{5} \\ x=2 \\ \end{gathered}\)x = 2
Substitute x = 2 into equation 1
\(\begin{gathered} y=3x+1 \\ y=3(2)+1 \\ y=6+1 \\ y=7 \end{gathered}\)y = 7
The answer would be x = 2, y = 7
Find the matrix A of the linear transformation T from R2 to R2 that rotates any vector through an angle of 60∘ in the clockwise direction.
Answers
Any vector can be rotated via a 60 degree angle in the clockwise direction using the linear transformation from R2 to R2, and the corresponding matrix is
\(\left[\begin{array}{ccc}\frac{1}{2} &\frac{\sqrt{3} }{2} \\\frac{\sqrt{3} }{2}&\frac{1}{2} \end{array}\right]\)
What does a matrix for an angle alpha that is counter-clockwise mean?
An angle's matrix for counter clockwise rotation is
\(\left[\begin{array}{ccc}cos (alpha) &-sin (alpha) \\-sin (alpha)&cos (alpha)\end{array}\right]\)
Alpha angle matrix for a clockwise direction
Put alpha = -alpha in the matrix shown above.
The matrix above becomes
\(\left[\begin{array}{ccc}cos (alpha) &sin (alpha) \\sin (alpha)&cos (alpha)\end{array}\right]\)
if alpha = 60 degrees
The matrix above becomes
\(\left[\begin{array}{ccc}\frac{1}{2} &\frac{\sqrt{3} }{2} \\\frac{\sqrt{3} }{2}&\frac{1}{2} \end{array}\right]\)
Consequently, the matrix for the linear transformation from R2 to R2 that rotates any vector by 60∘ degrees in the clockwise direction.
is .\(\left[\begin{array}{ccc}\frac{1}{2} &\frac{\sqrt{3} }{2} \\\frac{\sqrt{3} }{2}&\frac{1}{2} \end{array}\right]\)
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Percentages questions
Answers
Answer:
What is 25%of 80
50 is what percentage of 500
find the percentages change ,when a number is changed from 100 to 80
An arborist is preparing the fuel mix for her chainsaw before climbing a tree to remove a dead limb. The two-stroke chainsaw
requires a 5% mix of engine oil to gas-that is, the amount of oil should be 5% of the amount of gas. How much engine oil should
be added to a jerry can that contains 3.8 gallons of gas?
(Type a whole number or a decimal)
Answers
Answer:
To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:
0.05 x 3.8 = 0.19
So, 0.19 gallons of engine oil should be added to the jerry can.
Rahul drives 10 miles in 20 minutes. If he drove three hours in total at the same rate, how far did he go?
Before you try that problem, answer the question below.
How many minutes did Rahul drive in total?
Answers
Answer: 180 minutes
90 miles in 3 hours
Step-by-step explanation:
60 minutes = 1 hour
60 mins/20 mins = 3
60*3 = 180
30 miles per hour for 3 hours is 90 miles
A store pays $70 for a bicycle. The percent of markdown is 20%. What is the selling price?
Answers
Answer: $56
Step-by-step explanation:
20% of 70=14
70-14=56
Theo has one piece of train track that is 74 millimeters long and a second piece of train track that is 97 millimeters long.
How many meters of track does Theo have in all?
0.171 m
1.71 m
17.1 m
171 m
Answers
Rationalize the denominator.
Answers
Answer:
work is shown and pictured
Answer:
\(\frac{\sqrt[3]{18}}{3}\)
Step-by-step explanation:
Hello!
To rationalize the denominator, we have to remove of any square root or cube root (or any root) operations.
Since \(\sqrt[3]{3}\) is the same as \(3^{\frac13}\), we have to multiply the numerator and denominator by \(3^{\frac23}\) or \(\sqrt[3]{3^2}\).
Rationalize\(\frac{\sqrt[3]{2}}{\sqrt[3]{3}}\)\(\frac{\sqrt[3]{2}}{\sqrt[3]{3}} * \frac{\sqrt[3]{3^2}}{\sqrt[3]{3^2}}\)\(\frac{\sqrt[3]{2 * 3^2}}{\sqrt[3]{3^3}}\)\(\frac{\sqrt[3]{18}}{3}\)The radical in the numerator cannot be further simplified.
The answer is \(\frac{\sqrt[3]{18}}{3}\).
Which number doesn't share the same pattern as
2,20, 4,8,300
Answers
HELP ASAP MY MOMS LIKE VERY MAD AT ME CUZBTHIS IS LATE( don’t steal from other people cuz it’s wrong) (17 points and brainliest)
The stem-and-leaf plot displays the amount of time, in minutes, that a student spent practicing their musical instrument over 10 days.
1 5
2 0, 2, 5
3 2, 4
4 5
5 3, 6
6 0
Key: 2|0 means 20
Part A: Calculate the mean and median for the data given. (2 points)
Part B: A student would like to show their teacher that they have practiced long enough for the day. Which measure of center should the student give to their teacher? Explain your answer. (2 points)
Answers
The mean is 27.3. and the median is 24.5.
What is a mean median and mοde?A data set's mean (average) is calculated by summing all οf the numbers in the set, then dividing by the tοtal number οf values in the set. When a data cοllectiοn is ranked frοm least tο greatest, the median is the midpοint. The number that appears mοst frequently in a data set is called the mοde.
Part A:
Tο calculate the mean, we need tο add up all the values and divide by the tοtal number οf values:
15 + 20 + 22 + 24 + 25 + 26 + 30 + 35 + 36 + 60 = 273
273 / 10 = 27.3
Therefοre, the mean is 27.3.
Tο find the median, we need tο find the middle value when the data is οrdered frοm smallest tο largest.
Median = (24 + 25) / 2 = 24.5
Therefοre, the median is 24.5.
Part B:
The measure οf centre that the student shοuld give tο their teacher depends οn the teacher's preference. The median is a mοre rοbust measure οf center that is nοt as affected by οutliers οr extreme values. The median alsο gives a better sense οf the typical value in the data.
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Jason tried to find an expression equivalent to the rational expression −4x4+12x3−7x+22x2+1 by using polynomial long division. His work is shown below.Jason concluded that −2x2+7x+−14x+22x2+1 was equivalent to the rational expression. Jason's conclusion is incorrect.
Which statement BEST explains where Jason made an error?
Answers
She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The rational expression is given in the question as:
\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)
Divide the leading term of the dividend by the leading term of the divisor:
\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)
Write down the calculated result in the upper part of the table.
Multiply it by the divisor
\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)
\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)
Thus, Jason made a mistake in multiplying 2x²+1 by -2x².
Hence, the correct answer would be option (B).
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ASAP HELPPP PLEASE ANSWER CORRECT QUESTION!! GIVING OUT BRAINLY Stars!!!
Silas is researching the cost of a specific souvenir he wants to buy on his international trip.
Use the table to answer the question.
Country Currency Name Exchange Rate Per US Dollar Average Cost of Souvenir: Britain pound 0.83 British pounds 17. British pounds Egypt pound 18 Egyptian pounds 288 Egyptian pounds
Determine which country the souvenir would be less expensive in in US dollars. Show your work. (10 points)
Answers
Using proportions, it is found that due to the smaller division of the exchange rate by the cost, the souvenir would be less expensive in Egypt.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The souvenir would be less expensive in the country in which the division of the exchange rate by the cost is smaller.
In Britain, the cost is of 17, with an exchange rate of 0.83, hence the cost in US dollars is:
c = 17/0.83 = $20.48.
In Egypt, the cost is of 288, with an exchange rate of 18, hence the cost in US dollars is:
c = 288/18 = $16.
16 < 20.48, hence the souvenir would be less expensive in Egypt.
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Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
Answers
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
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Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
Answers
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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how do you solve 821*54 using an area model
Answers
Answer:
800 20 1
50| | | |
4 | | | |
pretty much a rectangle with 800 20 1 at the top
50 4 on the side
and split the numbers in the box - i tried to recreate it as much as possible
oh then in each little box you have to multiply the numbers so
50 x 800 = 40,000 in the box
50 x 20 = 1,000 in the next box
50 x 1 = 50 in the next box
4 x 800 = 3,200
4 x 20 = 80
4 x 1 = 4
then you add all of them which would be 44,334
Giving brainliest to who can help!
Answers
Answer:
BELOW
Step-by-step explanation:
OK so AC is 18, since both of those sections are 9, and 9+9=18.
But for AG im kind of stuck. At first I thought it was 11 but then just by looking at it you can see that they aren't the same length(I mean AG and GC) so I don't know about that one.
heres what I THINK it could be
GF and GD COULD BE the same length, considering that this is a 3d shape.
So, since AGF is a right triangle, we can use pythagorem. theorem.
7^2+9^2=x^2
49+81=x^2
130=x^2
x==11.40
MAYBE AG=11.40.
i tried my best sorry
Function and notaion.
Answers
Answer: 45
Step-by-step explanation:
Function notation: is another way of writing a function to make it easy to understandInstead of the independent and dependent variables being x and y they are now x and f(x)f(x) can be interpreted as the y value at a given x value in this case f(-5) must be solved for, essentially saying what is y when the x value is -5\(f(-5)=2(-5)^{2} -5\)
\(f(-5)= 2(25) -5\)
\(f(-5) = 50-5\)
\(f(-5) = 45\)
URGENT!!!! Find the y-intercept of the line that passes through the points (-3, 7) and (3, −9).
Answers
Answer:
\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)
\(7 = - \frac{8}{3} ( - 3) + b\)
\(7 = 8 + b\)
\(b = - 1\)
\(y = - \frac{8}{3} x - 1\)
The y-intercept is -1.
Eileen purchased a dishwasher for $750. It depreciates about 0.9% each year. What is the value of the dishwasher after seven years? (2 points) a $798.55 b $743.25 c $746.07 d $704.01
Answers
Depreciation formula: starting value x (1 - percent of decrease)^years
Change 0.9% to a fraction by dividing by 100:
0.9/100 = 0.009
750 x (1-0.009)^7
750 x 0.991^7 = $704.01
The answer is $704.01
You are designing the garden of your dream and you are going to start with a blank canvas. That means killing everything before putting down new plants. To do this, you are going to use herbicide to kill the overgrown weed. You have a lot of land that measures 22.5 yard by 20.4 yard. Each bottle of herbicide holds 12 fluid oz (fl oz). The instruction says to mix 1.1 fl oz with 1.0 gallon of water and that will treat an area of 155 ft2. How many bottles of herbicide will you need
Answers
Answer:
2.5 bottles or 3 bottles
Step-by-step explanation:
Given that :
Dimension of lot :
22.5 yds by 20.4 yds
Area of lot = 22.5 * 20.4 = 459 yd²
Volume per bottle of herbicide = 12 fl oz
1.1 fl oz combined with water treats an area of 155 ft²
Number of 1.1 fl oz from 12 fl oz that can be obtained : 12 / 1.1 = 10.90
1 yard² = 9 feet²
459 yard² = (459 * 9) = 4131 feet²
Number of 151 feet² that can be obtained from 4131 feet²
4131 feet² / 155 ft²
= 27.3576 times
= 27.3576 / 10.909
= 2.507
This means he'll have to buy a minimum of 3 bottles if a fraction of a bottle can't be purchased.
Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.
Answers
The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.
Let's denote the missing terms as A and B.
The given sequence is: 3/k, A, B, 9/2k.
The common difference can be found by subtracting 3/k from A or B. Therefore:
A - 3/k = B - A = 9/2k - B.
To simplify, we can equate the two expressions for the common difference:
A - 3/k = 9/2k - B.
Next, we can solve for A and B using this equation.
Adding 3/k to both sides gives:
A = 3/k + 9/2k - B.
Now, we can substitute the value of A into the equation:
3/k + 9/2k - B - 3/k = 9/2k - B.
Simplifying further, we have:
9/2k - 3/k = 9/2k - B.
Cancelling out the common terms, we find:
-3/k = -B.
Multiplying both sides by -1, we get:
3/k = B.
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f(x) = x² - 4 and g(x)= x^2 + 1 are sketched 10.1.2 Determine the length of DB .
Answers
x⁴ - 8x² + 17 is the function that represents the fog(x).
To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):
g(f(x)) = g(x² - 4)
Now, we can substitute the expression for g(x) into the above expression:
g(f(x)) = (x² - 4)² + 1
Expanding the squared term, we get:
g(f(x)) = x⁴ - 8x² + 17
Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.
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Complete question:
f(x) = x² - 4 and g(x)= x^2 + 1 find fog(x).
When Riley goes bowling, her scores are normally distributed with a mean of 160 and
a standard deviation of 13. Using the empirical rule, determine the interval that
would represent the middle 68% of the scores of all the games that Riley bowls.
Answers
Answer:
The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 160, standard deviation of 13.
Middle 68% of the scores of all the games that Riley bowls.
Within 1 standard deviation of the mean, so:
160 - 13 = 147.
160 + 13 = 173.
The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).