Answer:
The area of a circle with circumference 15.7 is 19.62
Step-by-step explanation:
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The area of the garden is 19.64 feet²
The garden has the shape of a circle.
The area of a circle = πr²
Where:
π= pi = 22/7
r = radius
In order to determine the area of the garden, the radius has to be determined first. The radius would be determined from the circumference of the circle.
Circumference of the circle = 2πr
15.7 = 2 x (22/7) x r
r = 15.7 ÷ ( 2 x 22/7)
r = 2.50 feet
Area of the garden = (22/7) x (2.5²) = 19.64 feet²
Please find attached an image of a circle.
To learn more about the area of a circle, please check: https://brainly.com/question/20767796?referrer=searchResults
Jonas has 20 coins, all nickels and dimes. The total value is $1.25. If n represents the number of nickels, which algebraic equation represents this situation?
A. 20n = 125
B. 5n = 1.25
C. 5n + 10(20 - n) = 125
D. 5n + 10n - 20 = 125
Answer:
a
Step-by-step explanation:
All of the following are rational except
Sqrt 0.49
Sqrt 19
Sqrt 900
Sqrt 100
Answer:
0.49
Step-by-step explanation:
for it to be rational there should not be no decimal nor pi .
Find the rate of change between:
(-4, 0)
(-4, 2)
Answer:
Its increasing the y value by 2 everytime
Step-by-step explanation:
-4,0 + 0,2 = -4,2
-4,2 + 0,2 = -4,4
to understand the increasing value add 2.
49 points in seven games unit rate
Answer:
7
Step-by-step explanation:
1. Do 49÷7 to get the average of 7
Which pair of triangles is congruent by ASA?
how to graph a line with slope 2 passing through the point (2, -1)
At the beginning of the quarter there were 40 students in our class. At the final exam, there are only 32 students left. By what percent did the class size decrease? by 96
Answer:
20 % decrease
Step-by-step explanation:
First find the number of students that left
40 -32 = 8
Take the number of students that left and divide by the original number of students
8/40
1/5
.20
20%
20 % decrease
Answer:
20% decrease ._.
Step-by-step explanation:
If u could subscribe to my friend penny_pg3d on YT, that would be great :)
Helllllllllllllp meeeeeeee I’m an idiotttttt
Answer:
3(4 + 3x)
distribute the 3 into both numbers
3*4
3*3x
9x +12
Step-by-step explanation:
8/x = 5/9 solve for x
i gotchu, x = 14.4
8/x = 5/9 (solve for x)
first you'd cross multiply (property of multiplication)
(8)(9) = (5)x
72 = 5x
then you flip your equation (communitive property)
5x = 72
then you need to eliminate five so you'd divide by 5 (inverse operation)
5x/5 72/5
x = 72/5
so x would be 14.4 since 72/5 is 14.4
(or just 14 since if you rounded it your answer would be 14)
decrease of 65% is the same as multiplying by what
percent?
Answer:
35%
Step-by-step explanation:
A decrease of 65% would be the same as multiplying the value by 35%.
100% - 65% = 35%
Let's use an example.
You have $150 dollars in stock and it decreases by 65%
150 - (.65*150) =
150 - 97.5 = $52.50
Now let's just multiply $150 by .35 (which is 35%)
150 * .35 = $52.50
It's the same!
Two dice are tossed. The probability that the total score is a prime number is:
Step-by-step explanation:
50/50 it's random I think but I learned that in science
Simplify -6 to the power of 2 divided by 12- 2(-7).
Answer: 18
Step-by-step explanation: -36 / -2 simply
What is 837 divided by 36?
Answer:
23.25 you will just divide it
Step-by-step explanation:
24. Mr. Reilly is a truck driver. His truck has 6 wheels
on each side. How many wheels are there on the truck?
Answer:
12
Step-by-step explanation:
unless placed in an inconvinient way, this is really the one that makes sense.
1. Lori drove 141 miles in 3 hours. What was Lori’s average rate of speed?
Answer:
47 miles per hour
Step-by-step explanation:
The average rate of speed is the miles divided by the hours
141 miles / 3 hours
47 miles per hour
Answer:
47
Step-by-step explanation:
141 / 3
The London School of Economics and the Harvard Business School have conducted studies of how chief executive officers (CEOs) spend their time. These studies have found that CEOs spend many hours per week in meetings that include conference calls, business meals, and public events. Suppose that the data below show the time spent per week in meetings (hours) for a sample of 25 CEOs.
14 15 18 23 15
19 20 13 15 23
23 21 15 20 21
16 15 18 18 19
19 22 23 21 12
a. What is the least amount of time spent per week on meetings? The highest?
b. Use a class width of two hours to prepare a frequency distribution, a relative frequency distribution, for the data.
Answer:
(a) The least amount of time spent per week on meetings is, 12 hours.
The highest amount of time spent per week on meetings is, 23 hours.
(b) Shown below.
Step-by-step explanation:
(a)
Arrange the data in ascending order.
S = {12 , 13 , 14 , 15 , 15 , 15 , 15 , 15 , 16 , 18 , 18 , 18 , 19 , 19 , 19 , 20 , 20 , 21 , 21 , 21 , 22 , 23 , 23 , 23 , 23}
The least amount of time spent per week on meetings is, 12 hours.
The highest amount of time spent per week on meetings is, 23 hours.
(b)
The frequency distribution table with the relative frequency distribution is as follows:
Class Interval Frequency Relative Frequency
12 - 14 3 0.12
15 - 17 6 0.24
18 - 20 8 0.32
21 - 23 8 0.32
Total 25 1.00
rounded to the nearest thousandth, the number 0.0000741
Answer:
.000
Step-by-step explanation:
A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period.
Single Policyholders Married Policyholders
n1 = 900 n2 = 400
Number making claims = 135 Number making claims = 24
Required:
a. Use a level of significance α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.
b. Provide a 95% confidence interval for the difference between the proportions for the two populations.
Answer:
Step-by-step explanation:
Given the following :
Single policy holders (n1) = 900
Number making claims (x1) = 135
Married Policy holders (n2) = 400
Number making claims (x2) = 24
α = 0.05
a. Use a level of significance α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.
Null: p1 - p2 = 0
Alternative : p1 - p2 ≠ 0
p = (n1p1 + n2p2) / n1 + n2 ;
p1 = x1/n1 = 135 / 900 = 0.15
p2 = x2/n2 = 24 / 400 = 0.06
p = (900*0.15 + 400*0.06) / (900 + 400)
p = 0.1223076
Test statistic (z):
(p1 - p2) / √p(1-p)(1/n1 + 1/n2)
(0.15 - 0.06) / √0.12231(1-0.12231)(1/900 + 1/400)
= 4.5710979
Decision:
Reject Null if P < α
Obtaining p value from z score using calculator :
P value = 0.0001
0.0001 < 0.05
Hence,
Reject Null
A farmer has a total of 7725. Corn plants he wants to plant 40 corn plants in each row how does the following work in long division
Answer:
The answer is B
Step-by-step explanation: Let me know if you need an explanation.
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CHALLENGE
5)
14 -
What values of a make the relation
n{(a, 1), (2, 3), (4, 5); a function? Explain. I
<<
Answer:
Any number different from 2 or 4
Step-by-step explanation:
As long as the number a is not 2 or 4 (which would connect the value of "a" in the Domain with different numerical values in the Range, the relationship will be a function. A function requires that for any element of the Domain there is ONLY one associated element in the Range.
Which construction is partially represented by the diagram on the baseball field? Explain the next set of instructions to correctly finish the construction.
Answer:
Construction of an angle bisector is partially represented by the diagram on the baseball field.
Step-by-step explanation:
Angle bisector of an angle bisects it into two equal angles.
Construction of an angle bisector is partially represented by the diagram on the baseball field.
Consider the figure:
From point B, draw an arc by opening the compass up to the same extend as we did while drawing arc from point A.
Take the point of intersection of both the arcs as C.
Join OC.
OC is the angle bisector of the angle.
Jack and Jillian sell apples at a produce stand. Jillian earns $2 for each bag of apples she sells. At the end of the week, Jack has earned $8 less than Jillian. The following expression shows Jack's earnings:
2x − 8
In the expression, what does the first term represent?
Answer:
2(x-4)
Step-by-step explanation:
it's the only thing i could think of, or its one
Answer:
Jillian's earnings at the end of the week
if m^1=m^2 then m^ 1 is?
Answer:
90
Step-by-step explanation:
Which of the following expressions has the greatest value? A. 62 O B. 53 O c. 52 O D. 32
Answer:
A. 62
Step-by-step explanation:
A bag has 5 yellow marbles, 3 red marbles and 2 blue marbles. Quinn randomly picks a marble from the bag and returns it before another is picked. How many times would Quinn expect to pick a blue marble if he picks a marble 200 times?
Answer:
Quinn can expect to pick blue 40 times
Step-by-step explanation:
the probability of picking blue is stated as 2/10 which can be reduced to 1/5
multiply the number of times they pick a marble ( shown as 200) by the probability of picking a blue one ( 1/5)
200 x 1/5 = 200 / 5 = 40
Quinn can expect to pick blue 40 times
Answer:40 blue marbles
Step-by-step explanation:
First find the probability of a blue marble
P (blue) = number of blue marbles / total marbles
= 2 blue/ ( 5+3+2) total
= 2/10
=1/5
We can use this since we return the marble to the bag each time
We multiply this by 200 for the number of times it is picked
200 * 1/5 = 40
We should expect to pick 40 blue marbles
Derek tried to solve an equation step by step.
\begin{aligned} 8d&=72\\\\ \dfrac{8d}{8}&=\dfrac{72}8&\green{\text{Step } 1}\\\\ d&=8&\blue{\text{Step } 2} \end{aligned}
8d
8
8d
d
=72
=
8
72
=8
Step 1
Step 2
Find Derek's mistake.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\green{\text{Step }1}Step 1start color #28ae7b, start text, S, t, e, p, space, end text, 1, end color #28ae7b
(Choice B)
B
\blue{\text{Step }2}Step 2start color #6495ed, start text, S, t, e, p, space, end text, 2, end color #6495ed
(Choice C)
C
Derek did not make a mistake.
Answer:
Step-by-step explanation:
[tex]\begin{aligned} 8d&=72\\\\ \dfrac{8d}{8}&=\dfrac{72}8&\green{\text{Step } 1}\\\\ d&=8&\blue{\text{Step } 2} \end{aligned}[/tex]
Derek's Mistake ;
[tex]\frac{8d}{8} =\frac{72}{8} \\\\[/tex]
Reason ;
[tex]72\div 8 =9 \\\\So ; d = 9[/tex]
Answer:
Step 2 - d=8
Step-by-step explanation:
72/8 equals 9 not 8
Quick I need help.....
Answer:
C
Step-by-step explanation:
Subtract both sides by 2
2-2 is 0
-10 - 2 is 12
-3x < 12
Divide both sides by -3
Switch signs cause dividing a negative
x > -4
You jogged 3 miles. How many kilometers is this?
Answer:
4.82803 kilometers
Step-by-step explanation:
1 mile is 1.609 kilometers
Answer:
4.828032
Step-by-step explanation:
Ms. Martin went for a pedicure. The pedicure was $25, and she tipped the girl 20%. How much did the trip to get a pedicure cost Ms. Martin?
A chef needs 60 oz of hot pepper sauce.
Which container size represents the better buy?
What will be the total cost of those containers?
Answer:
30-oz is a better buy
Total cost: $40.80
Step-by-step explanation:
The container with a lesser price per oz will be the better buy.
Let's calculate how much each container will give us per oz:
2-oz container = $1.99/2 = $0.995 per oz
5-oz container = $3.95/5 = $0.79 per oz
12-oz container = $8.76/12 = $0.73 per oz
30-oz container = $20.40 = $0.68 per oz
The 30-oz container is cheaper and would be a better buy.
In total the chef would buy 60-oz of hot pepper sauce for = 60-oz*$0.68 = $40.80