Answer:
5.7 is greater
Step-by-step explanation:
hope this helps
Answer: 5.7
Step-by-step explanation:
Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Heart Rates in Beats per Minute Class Frequency 51 - 58 6 59 - 66 3 67 - 74 11 75 - 82 13 83 - 90 4
Answer:
[tex]Mean = 68.9[/tex]
[tex]s^2 =18.1[/tex] --- Variance
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]
Solving (a): Calculate the mean.
The given data is a grouped data. So, first we calculate the class midpoint (x)
For 51 - 58.
[tex]x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5[/tex]
For 59 - 66
[tex]x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5[/tex]
For 67 - 74
[tex]x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5[/tex]
For 75 - 82
[tex]x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5[/tex]
For 83 - 90
[tex]x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5[/tex]
So, the table becomes:
[tex]\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]
The mean is then calculated as:
[tex]Mean = \frac{\sum fx}{\sum f}[/tex]
[tex]Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}[/tex]
[tex]Mean = \frac{2547.5}{37}[/tex]
[tex]Mean = 68.9[/tex] -- approximated
Solving (b): The sample variance:
This is calculated as:
[tex]s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}[/tex]
So, we have:
[tex]s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}[/tex]
[tex]s^2 =\frac{652.8}{36}[/tex]
[tex]s^2 =18.1[/tex] -- approximated
Jared and his six friends put their names in a bag to randomly select a driver for their weekly carpool. What is the probability that Jared will be selected to be the driver for the upcoming week?
HELPPP I NEED TO DO THIS BEFORE 7:00
Answer:
A, (13/3 x 5/13)
Step-by-step explanation:
So first, you should change the mixed numbers into improper fractions. To convert, just multiply the whole number by the denominator and add the numerator. Do that to both fractions and you should get 13/3 ÷ 13/5. Since you need to switch to multiplication, switch the sign and flip that fraction/ That asnwer is 13/3 x 5/13. Hope that helps! :)
please answer !!Urgent
I'm sorry I don't know what this is can you explain it sike
Please help me!!!!! ASAP
Answer:
Your answer is
J= 75
K=65
N=105
P=105
Hope that this is helpful. Vote and likhe it
if f(x-3)=7x+4 for all values of X what is the value of f(-7)
Answer:
-66
Step-by-step explanation:
We have the expression f(x-3) = 7x + 4, in which for x the value is -7.
To solve first substitute x next to f(x).
f((-7) - 3) = 7x + 4
(-7) - 3
f(-10) = 7x + 4
Now that we know x is equal to -10, you may substitute to the actual equation.
f(-10) = 7(-10) + 4
f(-10) = -70 + 4
f(-10) = -66
9514 1404 393
Answer:
-24
Step-by-step explanation:
We want to evaluate the function when ...
x -3 = -7
x = -4 . . . . . add 3
Then, ...
f(-7) = f(-4-3) = 7(-4) +4
f(-7) = -24
__
Alternatively, we can rewrite the function to be f(x).
f(x) = f((x+3) -3) = 7(x +3) +4
f(x) = 7x +25
Now, f(-7) is ...
f(-7) = 7(-7) +25 = -49 +25
f(-7) = -24
The sales tax is 5 percent what is the tax on an item that cost $24
Answer:
$25.20
Step-by-step explanation:
5% of 24 = 1.20
REASON: .05=5% (5÷100=.05because % means out of 100 or a ÷ sign)
24+1.20= 25.20
If a customer left a $5 tip for a bill that had a subtotal of $31.25 what percent tip did the customer leave?
Answer:
16%
Step-by-step explanation:
= (5/31.25)*100=16%
7. Use the Unit Circle to find the exact value of the trig function,
sin(180°)
The manager of an apartment complex ordered the air conditioners in the apartments to be replaced. The list shows how many years each air conditioner had been in service
11.8, 11.9, 11.9, 12.2, 12.3, 12.9, 13.3, 13.4, 13.6 13.7
What is the median number of years that an air conditioner had been in service?
Answer:
12.6 years
Step-by-step explanation:
Once you have these written out you kinda just have to look for the middle one and in this that is 12.3 and 12.9 so you add them and then divide by 2. When you add them you get 25.2 and when you divide by 2 you get 12.6. So the median of this data set is 12.6.
Plz help me ive been stuck on this for 30 minutes
George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to determine the number of cars he needs to sell in the next month to have a mean number of sales per month of 24.
Step 1: Find the total cars needed to have a mean of 24: 24 times 7 = 168.
Step 2: Find the total cars sold: 18 + 22 + 26 + 12 + 25 + 20 + 19 = 142.
Step 3: Subtract the total cars sold from the total cars needed: 168 minus 142 = 26.
Step 4: State the answer: George needs to sell 26 cars next month.
Where did George make his first mistake?
Step 1
Step 2
Step 3
Step 4
Answer:
Step One. He should have multiplied by 8.
Ten friends share 2 pumpkins pies equally. What fraction of a pumpkin pie does each friend get?
Answer:
1/5
Step-by-step explanation:
1/5
Answer:
Each friend would get 1/5 of pumpkin pie I believe
Step-by-step explanation:
There are 6 fourth-grade students, 8 fifth-grade students, and 10 sixth-grade students on the girls’ soccer team at Truman Elementary School. What is the ratio of all students to fourth-grade students? Use a proportion to solve.
Answer:
Your answer is
Fourth grade student = 25%
Fifth grade= 33.33%
Sixth grade= 41.67%
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
In a triangle shown, which shows the correct order of the side lengths from smallest to largest.
A= 65 degrees B= 80 degrees C= 35 degrees
Answer:
Not sure if there are options, but the order of side lengths from smallest to largest is j, k, l
Step-by-step explanation:
This is a bad explanation (sorry):
Side length order will be the same order of angle orders. By that, I mean the since angle C has the smallest angle, the side length across from it will also be the smallest. Since angle B is the biggest angle, side L will be the biggest length. This leaves angle A (and side k) in the middle.
Sully saves 2/3 of her paycheck for bills. If she makes $1,983, how much does she
have to pay her bills?
Answer:According to the rule, you should be spending no more than 43 percent of your before-tax income on all your debt payments. So, if your gross income per month is $4,000, your total debt including mortgage, auto loans, credit card payments and student loans should be less than $1,720
Step-by-step explanation:
Round 517,429 to the nearest hundred.
Answer:
517,400
Step-by-step explanation:
1 3 Sophia took home of the pizza that was left over from a party. The amount she took represents of a 8 whole pizza. 3 1 The equation p = can be used to find the number of pizzas p left over from the party. 8 2 How many pizzas were left over? There were pizzas were left over from the party.
Answer:
Sophia took home 2/5 of the pizza that was left over from a party. The amount she took represents 1/2 of a whole pizza. The equation 2/5p=1/2 can be used to find the number of pizzas p left over from the party.
Step-by-step explanation:
- {(-3, 3), (1, 1), (0, -2), (1,-4), (5, -1)}
Function?
Answer:
Step-by-step explanation:
It is not a function. (1,1) and (1,-4) are both points on the graph.
10.
The circumference of a circular garden is 25 feet. Which of the following expressions best
represents the diameter of the garden?
Answer:
A) d = 25/π
Step-by-step explanation:
To find the diameter of a circle, refer to the circumference formula:
C = d (π)
25 = d (π)
25/π = d
d = 25/π
please help me i really need help please
Answer:A?
Step-by-step explanation:
How to when me when i when i
Answer:
shrek
Step-by-step explanation:
1+1=2
mel and chris share some money in the ratio of 2:5. chris gets £45 more than mel. how much did mel get?
Answer:
mel gets £18
Step-by-step explanation:
5*9=45
and what ever you do to one side you do to the other so then you do
2*9=18
so therefore mel gets £18
What is the missing number?
29=(30-6)+?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
30-6=24
29-24= 5
3. Which of the following is a pair of corresponding angles?
Angles 1 and 2
Angles 1 and 4
Angles 1 and 5
Angles 1 and 7
Answer:
1 and 7
Step-by-step explanation:
I did this quiz
Answer:
Angles 1 and 5 are corrisponding angles
Step-by-step explanation:
Simplify (3x2-5x-6) - (5x2+4x+4)
Answer:
=−2x^2−9x−10
Step-by-step explanation:
would you like an explantion or are you good
help me pls pls pls
D (pause)
the answer is D
the last oneee
A square garden has a diagonal length of 18 feet. What is the area of the garden?
Area=
square feet
Answer:
162 square feet
Step-by-step explanation:
Let the side lengths of the square be l feet each.
Then the diagonal together with any two sides forms an isosceles right triangle.
We can apply the Pythagoras Theorem, which says that, the sum of the squares of the two shorter legs equals the square of the hypotenuse ( the diagonal) in this case.
Divide both sides by
The area of the square garden is 162 ft²
The number of 1 foot by 1 foot square planter boxes that can fill this garden is
The area of the square garden will be 162 square feet.
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.
Given that the length of the diagonal of the square is 18 feet. The area of the square will be calculated as,
Area = 1 / 2 x d₁ x d₂
Area = 1 / 2 x 18 x 18
Area = 9 x 18
Area = 162 square feet
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A model of the Pythagorean Theorem is shown.
169 square units. 144 square units. 25 square units.
Based on the information in the model, which equation represents the Pythagorean theorem?
Answer:
Step-by-step explanation:
I NEED THE CORRECT ANSWER TO THIS ASAP FOR A TEST!!!!!
Jared spent $1.14, $2.89, $4.23, and $10.71 on school supplies. Which is the best estimate of the total amount of money Jared spent?
A) $14.00
B) $16.00
C) $19.00
D) $21.00
The expression 12.5x can be used to determine the total amount of wages eamed after working z
hours at a rate of $12.50 per hour. What is the total amount of wages earned by someone who
works 40 hours?
$500.00
F
G
$480.00
H
$52.50
$50.00