Given data:
The probability that the first card is 9
The distribution of the number of hours that a random sample of people spend doing chores per week is shown in the pie chart. Use 32 as the midpoint
for "30+ hours." Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the
data set
Click the icon to view the pie chart
First construct the frequency distribution.
Class Frequency, f
0-4
5-9
10-14
15-19
20-24
25-29
30+
CIB
4
The frequency distribution for the given data is:
0-4: 0.0349.5-9: 0.1512.10-14: 0.2558.15-19: 0.1977.20-24: 0.1628.25-29: 0.1512.30: 0.0465.Treating the frequency distribution as a discrete distribution, we have that:
The mean is of 16.71.The standard deviation is of 10.95.What is the missing information?The pie chart is missing, but is given at the end of the answer.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
A frequency distribution is composed by the relative frequencies of each outcome. From the pie chart, we have that there is a total of 3 + 13 + 22 + 17 + 14 + 13 + 4 = 86 people, hence the frequency distribution is given as follows:
0-4: 3/86 = 0.0349.5-9: 13/86 = 0.1512.10-14: 22/86 = 0.2558.15-19: 17/86 = 0.1977.20-24: 14/86 = 0.1628.25-29: 13/86 = 0.1512.30: 4/86 = 0.0465.What are the mean and the standard deviation of a discrete distribution?The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.The standard deviation of a discrete distribution is given by the square root of the sum of the differences squared between each observation and the mean, multiplied by their respective probabilities.This is relevant because we want to treat the frequency distribution as a discrete distribution, taking the midpoint of each interval, hence:
P(X = 2): 0.0349.P(X = 7): 0.1512.P(X = 12): 0.2558.P(X = 17): 0.1977.P(X = 22): 0.1628.P(X = 27): 0.1512.P(X = 32): 0.0465.Hence the mean is:
E(X) = 0.0349 x 2 + 0.1512 x 7 + 0.2558 x 12 + 0.1977 x 17 + 0.1628 x 22 + 0.1512 x 27 + 0.0465 x 32 = 16.71.
The mean is of 16.71.
The standard deviation is found as follows:
S(X) = sqrt[0.0349 x (2 - 16.71)² + 0.1512 x (7 - 16.71)² + 0.2558 x (12 - 16.71)² + 0.1977 x (17 - 16.71)² + 0.1628 x (22 - 16.71)² + 0.1512 x (27 - 16.71)² + 0.0465 x (32 - 16.71)²] = 10.95.
The standard deviation is of 10.95.
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Question
New Orleans has 283 hotels with a population of 391, 006. If Atlanta was proportional to New Orleans in hotels to
population and Atlanta has a population of 498, 000, how many hotels will Atlanta have? Round to the nearest whole
number.
ILL GIVE YOU BRAINLIST !!!
HAVE TO GET IT RIGHT
Evaluate the expression given the replacement values.
Answer:
\(-\frac{15}{16}\)
Step-by-step explanation:
\(\frac{1}{4} ^{2}\)= \(\frac{1}{16}\)
2*(pq)= 2(\(\frac{1}{6}\))= \(\frac{1}{3}\)
-3\(q^{2}\)= -3\((\frac{4}{9} )\)= \(-\frac{4}{3}\)
\(\frac{1}{16} +\frac{1}{3}-\frac{4}{3}\)=
\(\frac{1}{16} -1\)=
\(-\frac{15}{16}\)
Find the inverse of f(x) = -3x.
The inverse is
g(x) =
Graph the function and its inverse
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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I don’t get thiss so can someone help me
Step-by-step explanation:
use algabraic expreshens it will help trust me
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
Jada wants to know how fast the water comes out of her faucet. what information would she need to know to be able to determine that
Answer:
Time, and Amount
Step-by-step explanation:
Well she would need to determine a time frame from within the water falling out of the tap, and how much water comes out. then she would need to observe how much water came out in that time frame, and how much time it took.
The information that Jada needs to know how fast the water comes out of her faucet include time and the amount of water.
Since Jada needs to know how fast the water comes out of her faucet include time and the amount of water. For example, let's say the amount of water coming out is 20 liters in 4 hours.
Therefore, this means the amount of water coming out per hour will be:
= 20 liters / 4 hours
= 5 liters per hour.
The main information needed is the time and the amount of water.
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PLS HELPPPPPPPPPP ......
Answer: I don’t know
Step-by-step explanation:
Jsjsjdjdjdjdj
Find the average rate of change of f(x) = - x ^ 2 + 3x + 1 from x = 2 to x = 5 . Simplify your answer as much as possible.
Given:
\(f(x)=-x^2+3x+1\)\(The\text{ points are x=2 and x=5.}\)Aim:
We need to find the average rate of change of f(x).
Explanation:
The formula to find the average rate of change is
\(\frac{f(b)-f(a)}{b-a}\)Here b=5 and a=2.
Substitute x=2 in the function f(x) to find f(2).
\(f(2)=-(2)^2+3(2)+1\)\(f(2)=-4+6+1=3\)Substitute x=5 in the function f(x) to find f(5).
\(f(5)=-(5)^2+3(5)+1\)\(f(5)=-25+15+1\)\(f(5)=-9\)\(Substitue\text{ a=2, b=5, f\lparen2\rparen=3 and f\lparen5\rparen=-9 in }\frac{f(b)-f(a)}{b-a}.\)\(\frac{f(b)-f(a)}{b-a}=\frac{-9-3}{5-2}=\frac{-12}{3}=-4.\)The average rate of change of f(x) is -4.
Final answer:
The average rate of change of f(x) is -4.
The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 
The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.
To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.
The equation is:
X^2/2 - 8 = 2X - 2
To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:
X^2 - 16 = 4X - 4
Next, we rearrange the equation to have all terms on one side:
X^2 - 4X - 12 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:
(X - 6)(X + 2) = 0
Setting each factor equal to zero gives us two possible solutions:
X - 6 = 0 --> X = 6
X + 2 = 0 --> X = -2
So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.
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Factor 21x^2 - 14x - 56
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
someone help me with this it’s literally easy but i’m still having a hard time to do it
Answer:
m2= 83 m1=97 m4=83
Step-by-step explanation:
m3 and m1 are corresponding by being verticle so they're the same
m3 and m2 are supple whcih mean they add to 180, so subtract 180-97 which is 83.
m2 and m4 are corresponding by being verticle so they're the same
During the woman’s championship game, team A scored 7 points then team B. Together , both teams scored a total of 161 points. How many points did the champion team A score during this game?
Answer:
84
Step-by-step explanation:
Team A = 7 + b
Team B = b
b + b + 7 = 161
2b = 154
b = 77
Team A = 7 + b
b + 7 = 84
Write an equation. Use the variables given in the question . a magazine cost $3.00 and a book cost $7.00. If you want to spend exactly $45.00 on reading this month and you need to buy 8 magazines , how many book can you buy ? Write an equation in standard form modeling this situation. PLEASE HELP NEED ASAP !!!! DUE IN 10 MINS !
Answer the question in the picture please!!
Answer:
Step-by-step explanation:
take the 142 degree angle and subtract it from 180 to find value of angle n, you will get 38. then you add 38 and 90 together to get 128. Since all angles of a triangle add up to 180. You subtract 128 from 180 to get 52.
Angle M = 52
Angle L = 90
Angle N = 38
Angle LNM = 180
Find the area of this parallelogram
8cm
10cm
14cm
Answer:
112 \(cm^{2}\)
Step-by-step explanation:
A=bh
A=14*8
A=112
A carpenter takes a board that is 78 inches long and cuts a piece 29 inches long off of it. The
length of the remaining board is
inches.
Answer:
79 inches
Step-by-step explanation:
hope it helps:)
A new type of pump can drain a certain pool in 6 hours. An older pump can drain the pool in 12 hours. How long will it take both pumps working together to drain the pool?
Answer:
240 min
Step-by-step explanation:
if we convert it to minutes, one pool is drained in 360 min, while using another pump requires 720 min. the problem requires them working together, so we need to find the amount of pool drained in a unit pace, being one minute. using the first pump, in 1 minute 1/360 of the pool is drained, and 1/720 for the second pump. We can add them together, thus gaining 3/720 of the pool drained in 1 minute if they are applied together. then, you calculate 720/3 to find out how many minutes it takes for the whole pool to be drained, and you get 240
A) create a Pythagorean theorem equation to solve for X
B) solve for X
Answer:
A) x=\(\sqrt{9^{2}+3^{2} }\) B) x=9.49
Step-by-step explanation:
Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
What Fraction is equivalent to 3/-5?
A. 5/-3.
B. -5/-3.
C -5/-3.
D. -3/-5
Answer:
No option is correct
Step-by-step explanation:
As they are written, none of them is equivalent to 3/-5
Hope this helps
A force of 50 pounds acts in a direction 60° above horizontal, moving an object 100 feet from (0, 0) to (100, 0). How much work is done by the force?
Answer:
Your answer is 1500
Step-by-step explanation:
Hope this helped
Answer:
C
Step-by-step explanation:
Edge 2021
. What is this number?
It is a 3-digit whole number. It is an odd number. It is divisible by 5 and less than 400. When you get the sum of each digits is equal to 17.
Step-by-step explanation:
when it is divided by 5 we easily know the last digit is 0 or 5
it os odd it can't divided to 2
the some of each digit is 17
so the answer will be 170
170÷5=34
170<400
1+7+0=17 true
485÷5=97
4+8+5=17
but 485>17 false
5. The graph of each function contains the given point. Find the value of 'c'.
y = -5x2 + c (2,-14)
Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
- NO LINKS DOCS OR FILES ETC
Answer:
1.75 * 0.84
Step-by-step explanation:
1.74 * 0.84 = 1.4616
1.79 * 0.69 = 1.2351
Answer:
1.74 x 0.84 is greater
Step-by-step explanation:
1.74 x 0.84 = 1.4616
while
1.79 x 0.69 = 1.23509
Solve each system by elimination.
3) 3x + 4y = 12
-3x - y = 6
4) -5x – 6y = 5
-6x + 6y = 6
5) 7x - 4y = 19
10x - 2y = 16
6) 10x - 9y=-13
5x – 3y =-11
Answer:
3) x = -4 and y = 6
4) x = -1 and y = 0
5) x = 1 and y = -3
6) x = -4 and y = -3
Step-by-step explanation:
3) Add the equations:
(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)
= 3y = 18
y = 18/3
y = 6
3x + 4(6) = 12
3x = 12 - 24
x = -12/3 = 4
4) Add the equations:
(-5x - 6y = 5) + (-6x + 6y = 6)
-11x = 11
x = -1
-5(-1) -6y = 5
-6y = 5 - 5
y = 0
5) 7x -4y = 19
10x - 2y = 16
Multiply the second equation by -2 to eliminate the y and add both equations.
-2(10x -2y = 16) =
(-20x + 4y = -32) + (7x - 4y = 19)
-13x = -13
x = 1
7(1) - 4y = 19
-4y = 19-7
y = 12/-4
y = 3
6) multiply the second equation by -2 to eliminate the x and then add the equations.
-2(5x - 3y = - 11) =
(-10x + 6y = 22) + (10x - 9y = - 13)
= -3y = 9
y = - 3
10x - 9(-3) = - 13
10x = -13 - 27
x = -40/10
x = -4
Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8).
Answer:
4x - 9y + 28 = 0------------------------
Find the slope of AB:
m(AB) = (8 - 4)/(11 - 2) = 4/9Use point-slope form and point A(2, 4) to determine the line:
y - 4 = (4/9)(x - 2)Multiply both sides by 9 to clear fraction:
9(y - 4) = 4(x - 2)Open parenthesis and convert the equation into ax + by + c = 0:
9y - 36 = 4x - 8 ⇒4x - 9y - 8 + 36 = 0 ⇒4x - 9y + 28 = 0Which product of prime polynomials is equivalent to the original polynomial? (–2 – 5x)(x2 – 1) (–2 + 5x)(x2 – 1) (–2 – 5x)(x – 1)(x + 1) (–2 + 5x)(x – 1)(x + 1)
The correct equivalent polynomials are,
a. (- 2 - 5x) (x² - 1) = (- 2 - 5x) (x - 1) (x + 1)
b. (- 2 + 5x) (x² - 1) = (- 2 + 5x) (x - 1) (x + 1)
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The polynomials are,
a. (- 2 - 5x) (x² - 1)
b. (- 2 + 5x) (x² - 1)
Now,
Solve the expression as,
a. (- 2 - 5x) (x² - 1)
Since, We know that;
⇒ a² - b² = (a - b) (a + b)
Hence, we get;
(- 2 - 5x) (x² - 1) = (- 2 - 5x) (x - 1) (x + 1)
b. (- 2 + 5x) (x² - 1)
Since, We know that;
⇒ a² - b² = (a - b) (a + b)
Hence, we get;
(- 2 + 5x) (x² - 1) = (- 2 + 5x) (x - 1) (x + 1)
Thus, The correct equivalent polynomials are,
a. (- 2 - 5x) (x² - 1) = (- 2 - 5x) (x - 1) (x + 1)
b. (- 2 + 5x) (x² - 1) = (- 2 + 5x) (x - 1) (x + 1)
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Help pls part b is how many batches of jam can the farmer make
The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)
To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.
Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".
Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,
=> 16 = 2 1/2 + 2 1/4b
Hence the correct option is (b).
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