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Answer:
398.2 cm²
Step-by-step explanation:
The area of the whole circle is ...
A = πr²
A = π(13 cm)² = 169π cm²
The 270° sector is 3/4 of the whole circle, so its area is ...
sector area = (3/4)(169π cm²) ≈ 398.2 cm²
the ages of two students are in the ratio of 3:5,if the older is 40yrs. How old is the younger student
Answer:
24 years
Step-by-step explanation:
total ratio =8
older student=40 years
3/8*40 ÷ 5/8=24
What is the difference between these two linear equations?
Y=3x - y=-3x
Find the solution of x – 13 = 25, and verify your solution using substitution.
options:
A)
x = 12, 12 + 13 = 25, 25 = 25
B)
x = 39, 39 – 13 = 25, 25 = 25
C)
x = 37, 37 – 13 = 25, 25 = 25
D)
x = 38, 38 – 13 = 25, 25 = 25
Answer:
x = 38
Step-by-step explanation:
x-13 = 25
Add 13 to each side
x-13+13 = 25+13
x = 38
Check
38-13 = 25
25=25
g At a bank, there is a line of 3 people and only one cashier that serves one person at a time. The time that the cashier takes to serve each person has an exponential distribution with a mean of 5 minutes. Calculate the probability that the total time of serving the 3 people is less than 15 minutes. Assume that the serving times are independent.
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
Answer:
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Let Clarissa has left $x amount spend for month. Hence,$272 left from her budget spend for month.
Christian randomly selects students from his grade to rate a math test as easy, moderate, or difficult. Of the students he surveyed, 13 said the test was easy, 11 rated it as moderate, and 3 found it difficult. Assuming that all students took the same test, how many of the 162 total students in Christian’s grade would probably rate the test something other than easy?
A.
27
B.
78
C.
84
D.
126
Answer:
C.
84
Step-by-step explanation:
This question is solved using proportions.
From the sample:
11 + 3 = 14 out of 13 + 11 + 3 = 27 would rate the test something other than easy.
Out of 162:
Applying the rule of three:
14 - 27
x - 162
Applying cross multiplication:
[tex]27x = 14*162[/tex]
[tex]x = \frac{14*162}{27}[/tex]
[tex]x = 84[/tex]
Thus the correct answer is given by option C.
Answer:
I hope this helps
Step-by-step explanation:
A bird that was perched atop a 15-foot tree dives down six feet to a branch below. How
the bird's new location?
Answer:
I will b you and your 5AM 88feet
Write 33/100 in a decimal
Answer:
it is .33
Step-by-step explanation:
take 33 and for each 0 move the decimal point like so
33.
3.3
.33
keep learning (:
Supervisor: "We are asking everyone to focus on reducing their average transaction
time by 10%. The average transaction time for this location is 6 minutes and 52
seconds."
Employee: "So we have to get the average transaction time down to
5 minutes, 52 seconds
6 minutes, 11 seconds
6 minutes, 18 seconds
6 minutes, 24 seconds
6 minutes, 32 seconds
NEXT >
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Answer:
6 minutes, 11 seconds
Step-by-step explanation:
In seconds the average transaction time is ...
6 min 52 s = 6(60 s) +52s = 412 s
Reducing this by 10% will cut it to 1 -10% = 90% of this value, or ...
(412 s)(0.9) = 370.8 s
In minutes and seconds, this is 6(60 s) +10.8 s = 6 min 10.8 s.
The average transaction time must be reduced to about 6 min 11 s.
A ball was bounced 3 times between 3:15p and 3:18p, thrown 10 times between 3:20p and 3:30p and bounced 7 times between 4:15p and 4:20p. What is the rate per hour of ball bouncing based on a 2 hour data collection time period.
Answer:
strange phrasing of a question
If one assumes that the "observation" was from 3:00 pm - 5:00 pm (2 hours)
and the ball was ONLY "bounced" 10 times (3+7)
we can can say that the rate was 10 bounces/2 hours or 5 b.p.h. (bounces per hour)
Step-by-step explanation:
An employee makes $11.20 per hour but is getting a 6.5% increase. What is his new wage per hour to the nearest cent? His new wage per hour is?
Answer:
11.93
Step-by-step explanation:
First find the amount of increase
11.20 *6.5%
11.20 *.065
0.728
Rounding to the nearest cent
.73
Add this to the original wage
11.20+.73
11.93
On January 2, 2008, the American Idol website (www .americanidol) conducted an online poll that asked respondents which contestant they liked best among six former contestants. To become part of the sample, respondents simply clicked on a response. Of the 941,434 responses to this poll, 55% voted for Clay Aiken. We can conclude that _________________________________ .
a. the sample is too small.
b. a fraction of the millions of people who watched the TV show to draw any conclusion.
c. most Americans prefer Clay Aiken out of those former contestants.
d. the poll uses voluntary response, so the results tell us little about the population of all adults.
Answer:
Online Poll
We can conclude that
c. most Americans prefer Clay Aiken out of those former contestants.
Step-by-step explanation:
Sample responses received from the poll = 941,434
Proportion of voters for Clay Aiken = 55%
Computed proportion of voters for the other 5 contestants = 45% (100% - 55%)
This gives an average of 7.5% (45%/5) for the other 5 contestants.
Therefore, the conclusion is that "most Americans prefer Clay Aiken out of those former contestants" in the American Idol contest.
HELP ASAP
Compare the volume of these two shapes, given the radii are the same.
Answer:
The left cylinder has greater than the right cylinder.
Step-by-step explanation:
Volume of a cylinder is the area of a base times the height.
As the radii are identical, the area of each base is πr²
As the left cylinder has greater height, it also has greater volume.
Heather has $45.71 in her savings account. She bought six packs of markers to donate to her school. Write an expression for how much money she has in her bank account after the donation
Answer:
45.71 - 6x = y
Step-by-step explanation:
x is the cost of the packs of markers
y is how much money she has left in her bank account
what represent the area of the rectangle in cm^2??
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Answer:
d. 3x² +15x
Step-by-step explanation:
The area is the product of length and width.
A = LW
A = (3x)(x+5) = 3x(x) +3x(5) . . . . use the distributive property
A = 3x² +15x
Answer: D) 3x^2 + 15
==========================================================
Explanation:
Draw a horizontal line to divide the rectangle into two parts (they don't necessarily have to be equal parts). Refer to the diagram below. The upper rectangle is x by 3x. So its area is length*width = x*3x = 3x^2
The lower rectangle is 5 by 3x, so its area is 5*3x = 15x
Combine those two sub-areas back together to get the overall area of 3x^2 + 15x
You could also use the distribution rule
3x*(x+5) = 3x*(x) + 3x*(5) = 3x^2 + 15x
"What mathematical ideas are you curious to know more about as a result of takingthis class? Give one example of a question about the material that you'd like to explorefurther, and describe why this is an interesting question to you."
One mathematical idea I've always been curious about is "integration and derivation".
Integration is about assimilating different variables. Derivation is a mathematical process whereby a result is gotten from some initial assumptions.
Integration is used everyday in different aspects of our lives. For example, if a person is travelling from let's say point A to point B, the speed used by the person might vary but through integration, one can easily get the accurate speed.
Through the division of equations into smaller bits, once can use integration to get the answer that one seeks. Architect can use integration in building the right structures at the exact places where the structures fits.
Likewise derivatives can be used by businesses in assessing whether a profit or loss will be made for a particular transaction or sale of product.
You can read more on:
https://brainly.com/question/14295614
x(x+3)(x+3)=0
solve the equation only one answer
Answer:
0
Step-by-step explanation:
it says the answer is zero
Find the numerical value of the area under the normal curve given the following information:
less than z = -0.06
enter your answer as a decimal (NOT percentage) and lead with a zero...for example: 0.1234
Answer:
.4761
I have a feeling that you are not quite getting the concept of these questions
a "Z" table "maps" a value (x-mu/sigma) to a number on a z-table chart
Your calculator has the function but the chart is simple for this questions
the numbers IN the chart represent "the percent UNDER THE NORMAL CURVE"
a z =0 is the MIDDLE so it is 50%
your questions is negative so it is to the left of the "middle"
all you have to do is find the z number on the chart and that is the answer to this question
Step-by-step explanation:
PLEASE HELPPPP THIS IS DUE ASAP I WILL GIVE BRAINLIEST!!’n
Answer:
1/3
Step-by-step explanation:
i/3 chance
Answer:
3/10 or 30%
Step-by-step explanation:
Calculate the probability of pulling out a novel the first day and multiply it by the probability of pulling out a novel the second day.
The probability that you will pull out a novel the first day is 3/5 because probability is preffered outcomes/total outcomes. The second day it is 2/4 or 1/2, because you gave away the first book yesterday.
Now you multiply 3/5x1/2 and you get 3/10!
on average, Jonny can pick 2/3 of the ripe apples on an apple tree in 1/2 an hour .At this rate, how long will it take him to pick all of the ripe apples on his 24 apple trees?
Answer:
18h
Step-by-step explanation:
let the number of ripe apples on a tree be x
2x/3 = 1/2
x = 1/2 ÷ 2/3 = 3/4
time taken for him to pick all the ripe apples from 1 tree = 3/4 h
total amount of time taken = 24 x 3/4 = 18h
Find the measure of the missing angles.
Answer:
b = 53
c = 53
Step-by-step explanation:
Alright so we already know that b and c are going to have the same angle measures. We can find b by subtracting 180 degrees to 127. Why you may ask? Its because when b and 127 are added together its obvious that it creates a straight line (supplementary angle). This means that two angles will sum up to 180 degrees. We can create an easy equation and solve for b.
127 + b = 180
b = 53 and c = 53
Best of Luck!
what is the largest whole number
[tex]\large{\underline {\underline {\pmb {\sf {\pink{Answer:}}}}}}[/tex]
There is no 'largest' whole number.Answer:
The largest whole number is the approximate of positive infinity ( to the nearest ones digit )
Please help explanation if possible
Answer:
18.84 feet. let me know if you have ay other questions.
Step-by-step explanation:
The way to find the formula for circumference is kinda complicated so it is best to ust memorize the formula, which is 2πr. or 2 times pi times the radius.
Your problem gives you the formula, but instead of 2 and r in it you have d, which is the diameter.
The diameter of the circle is 2 times the radius, so that's why it is replaced.
the radius is the distance from the center fo the circle to one edge, and the diameter is the distance through the circle passing through its center. so it's the center to one end plus the center to another end. or r+r which is also 2r.
So d = 2r, so in this problem d =6 feet.
So now the formula πd = 3.14*6 feet = 18.84 feet
Please help
A. SAS
B. AAS
C. HA
D. LL
E. ASA
F. HL
Answer:
Option B, AAS
Option C, HA
Option E, ASA
these three options applies
Terms of geometric sequence are found by the formula T n = ar n - 1. If a = 3 and r = 2, find the first 4 terms of the sequence.
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Answer:
3, 6, 12, 24
Step-by-step explanation:
It helps if the formula is properly written.
Tn = a·r^(n-1)
Fill in the given values for a, r, and use n = 1 to 4.
T1 = 3·2^(1-1) = 3
T2 = 3·2^(2-1) = 6
T3 = 3·2^(3 -1) = 12
T4 = 3·2^(4 -1) = 24
__
Additional comment
The value a=3 tells you the first term is 3. The value r=2 tells you each term is 2 times the previous one. Knowing this, you can write down the sequence based on your knowledge of multiplication tables (×2). You can use the formula as we did above, but it isn't necessary.
3, 6, 12, 24, ...
Find the measure of each angle in the problem. TO contains point H.
Answer:
A. 45 and 135
Step-by-step explanation:
Recall: two angles on a straight line forms a linear pair. The pair sum up to 180°.
Thus:
✔️c° + 3c° = 180°
4c = 180
Divide both sides by 4
4c/4 = 180/4
c = 45°
✔️3c = 3(45) (substitution)
= 135°
heyyyyyyyyy
PLEASE HELP AND BE CORRECT BEFORE ANSWERING
The answer the the question pictured
Answer:
x-1/2x-3
Step-by-step explanation:
be happy bro this is your perfect answer
Pls if anyone knows the answer with work included/steps that will be greatly appreciated :) for 6 just want to know is it w y x or z
Answer:
Step-by-step explanation:
Let's begin calculating the MPH for Fran.: Joanne's MPH is 250 / 2.5 = 100 MPH.
Now I'm going to subtract the 100 MPH by Fran. going 10 MPH less: 100 - 10 = 90.
I can't see the bottom part of the graph, so based on the MPH, it might be X, if you could put a better picture it would be better!
Quick!!
Shandra has a sheet of cardboard whose area is x2 + 2x - 15 square inches. We know that the length of the cardboard
sheet is (x + 5) inches. What is its width? (Hint: area = length width)
Answer:
(x - 3) inches
Step-by-step explanation:
the ratio of -15 (of the area term) and +5 (of the length term) suggests a term for the width ending in -3. and we need an x in there to get x² for the area.
so, immediate assumption is (x-3) for the width.
let's check
(x+5)(x-3) = x² + 5x - 3x - 15 = x² + 2x - 15
correct.