Answer:
6.07
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
- {(-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.
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.
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%
please answer !!Urgent
I'm sorry I don't know what this is can you explain it sike
What is the difference of 78−13?
Answer:
65
Step-by-step explanation:
3 1/3 x 14 = 3 14/2 =
H3
Answer:
10?
Step-by-step explanation:
I'm assuming it wants you to simplify 3 14/2 if so, then the answer would be 3 14/2 = 10
[tex]3\frac{1}{3}\cdot \:14 =\frac{10}{3}\cdot \:14 =\frac{10\cdot \:14}{3} =\frac{140}{3} =46\frac{2}{3}[/tex]
Hope I helped you!Success!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:
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.
Will got an insurance check of $4500. He deposited it into a savings account at 1.7 percent interest for five years. What was the total amount of money in the account after five years? $4882.50 $4462.50 $4374.38 $4315.63
Answer:
the answer is 4882.50, hope this helps
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
Press F9 on your keyboard five more times and see how long Carol lives in each of her alternate lives. Remember that she will always live to be at
least 44 years old, since she is already 44 years old. How long did Carol live each time?
Answer:
59 or infant
Step-by-step explanation:
she will either live to be 59 each time or she will live to be a undying God like being
Pls help I’m failing asap
Answer:
The equation 2d + 18 = 24 can help find the number of days Jerry has been doing sit-ups.
Step-by-step explanation:
During the first day, Jerry did 18 sit-ups, and he proceeded to do 2 more sit-ups each following day, so the expression to represent this situation is 2d + 18. Because he did 24 sit-ups today, to find the number of days he did sit-ups, the equation to solve is 2d + 18 = 24.
How to when me when i when i
Answer:
shrek
Step-by-step explanation:
1+1=2
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
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:
Answer the first one plz
Answer:
65 is the answer okkkkkk
Best of luck
Help me plsss in need help there is a picture
Answer:
Division Expression - 7 ÷ 3
Unit Form - 21 thirds ÷ 3 = 7
Improper Fraction 7/3
Step-by-step explanation:
Hope this helps!! <3
Judy plans to serve cheese to guests at a dinner party. She estimates
each guest will have 2 ounces of cheese, and she wants to have 8
additional ounces of cheese available. If Judy has 40 ounces of cheese,
which expression can be used to determine the number of guests Judy
can invite to her party?
Answer:
4
Step-by-step explanation:
2+8 = 10
10/40 = 4
4
Maybe...
help me pls pls pls
D (pause)
the answer is D
the last oneee
Bagel Boys delivers bagels for a $6
delivery fee plus $2.50 per bagel. An
engineering firm has $100. What is the
maximum number of bagels the firm
can purchase?
A. 37 bagels B. 38 bagels
C. 39 bagels D. 40 bagels
Answer:
A.37 BAGELS
Step-by-step explanation:
100-6
94/2.50
37.6 round down
37 bagels
so alot of the text got cut off so im going to re wright the problem
An illusionist needs both female and male volunteers for a show he needs no more then 10 volunteers for a show the illusionist needs fewwr then 4 female volunteers let X represent the number of female volunteers and Y represent the number of male volunteers which inqualities model the situation select eatch correct answer
Answer:
A. x+y<10
B. x+y≤10
Step-by-step explanation:
A is correct because they can be less than.
B is correct because there is less than or equal too of numbers of volunteers.
C, D, and E cannot be correct however, because that means that they can be over at any number. Therefore, these three would be incorrect.
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:
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.
7. Use the Unit Circle to find the exact value of the trig function,
sin(180°)
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.
According to the 2006 Uniform Crime Report (UCR), the state of Delaware had a population of 853,476 and 5,817 violent crimes. Compute the violent crime rate per 100,000 persons and interpret your result.
Answer:
682
Step-by-step explanation:
Population = 853,476
Number of violent crimes = 5817
We are to get violent crime rate per 100000 persons and interpret the result obtained.
Now if population is 1
Crime = 5817/853476
If population is 100000,
Crime = 5817x100000/853476
= 681.56
= 682
We conclude that the violent crime rate is of 682 crimes per 100000
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! :)
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?
Answer the question plz
Answer:
F=122 g=58 h=122
Step-by-step explanation:
F and h have same angle
H is same angle as 58