Answer:
60
Step-by-step explanation:
The mode is the value which occurs the most in the set. We see that 60 occurs three times, 62 occurs once, 63 occurs once, 65 occurs twice, 66 occurs once, 68 occurs once, and 69 occurs once.
Thus, the mode is 60.
Answer:
The mode is 60
Step-by-step explanation:
The mode is the number that appears most in the set of data. 60 appears the most, appearing 3 times.
Please please help!!!!
Answer:
4.75
Step-by-step explanation:
If a 6.2% Social Security tax is applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year is: a. $213.60 b. $6,408.00 c. $6,621.60 d. $17,225.81
Answer:
Correct Answer:
C: $6,621.60
(EDGE 2021)
Step-by-step explanation:
The maximum amount of Social Security tax that could ever be charged in a single year exists $6,621.60.
What is Social Security tax?Social Security exists financed through a reliable payroll tax.
Knowing that a 6.2% Social Security tax exists applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year stands at $6,621.60. Social Security offers all but unemployment insurance.
Therefore, the correct answer is option c. $6,621.60
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Select the correct answer.
A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells.
p(x) = -10x^2 + 498x - 1,500
what is the company's profit if it sells each sign for $20?
A. $18,020
B. $4,460
C. $14,420
D. $1,402
The profit made id each sign is sold for $20 is $4460
The profit model, P(x) = -10x² + 498x - 1,500
Where, x = price per sign sold
If the price per sign sold is $20. Hence, x = $20
The profit made can be calculated thus :
Put x = 20 in the profit function :
P(20) = -10(20)² + 498(20) - 1,500
P(20) = - 10(400) + 9960 - 1500
P(20) = - 4000 + 9960 - 1500
P(20) = $4,460
The profit made is $4,460
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Answer:
$4,460
Step-by-step explanation:
I got a 100% on my test
Question 2
A forest ranger in an observation tower sees a bear 15 miles to the north. The ranger also knows
there are campers located 19 miles due west of her post.
To the nearest mile, how far are the campers from the bear?
O 24 miles
O 5 miles
21 miles
O 34 miles
Answer:
24 miles
Step-by-step explanation:
Please find attached a diagram explaining the question
this would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
15² + 19²
225 + 361
586
the square root of 586 = 24 miles
It takes 15 caterpillars 24 hours to eat all the leaves on the bush in Violetta's front
yard. How
many
hours would it take 18 caterpillars to eat the same bush, assuming al
caterpillars eat at the same pace?
Answer:
20 hours
Step-by-step explanation:
[tex]\frac{15}{24}[/tex]=[tex]\frac{18}{x}[/tex]
15÷18=1.2
x=24÷1.2= 20 hours
20 hours is the answer
The time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.
What is the time taken?Time taken is the inverse of the rate of work.
As it is given that the time taken by 15 caterpillars to eat all the leaves on the bush in Violetta's front yard is 24 hours, therefore, the rate at which the 15 caterpillars eat the leaves can be written as,
[tex]\rm Rate = \dfrac{\text{Number of Bush That caterpillars eat}}{\text{Time taken by the caterpillars}}[/tex]
[tex]\rm Rate = \dfrac{1}{24}[/tex]
Now, as it is the rate of 15 caterpillars, therefore, the rate of a single caterpillar can be written as,
[tex]\rm Rate = \dfrac{\frac{1}{24}}{15} = \dfrac{1}{24 \times 15}[/tex]
Now, the time taken by 18 caterpillars can be written as,
[tex]\rm Time\ taken = \dfrac{Work}{Rate \times 18}\\\\\rm Time\ taken = \dfrac{1}{\dfrac{1}{24 \times 15}\times 18}\\\\Time \taken = \dfrac{24 \times 15}{1 \times 18} = 20 \ hours[/tex]
hence, the time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.
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7. A city is building a fence around a rectangular playground. If the perimeter of the playground is 100 feet and the length of one side of the fence is 32 feet, what is the width of the playground?
Answer:
100-32=68
Step-by-step explanation:
there are 68 feets on the playground
Let theta be and angle in quadrant IV that has reference pi/3. What is sin(theta)?
Given:
[tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex].
To find:
The value of [tex]\sin \theta[/tex].
Solution:
We know that only cos and sec are positive in quadrant IV and all other trigonometric ratios are negative in quadrant IV.
Since [tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex], therefore the value of [tex]\sin \theta[/tex] must be negative.
[tex]\sin \theta=-\sin \dfrac{\pi}{3}[/tex]
[tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex]
Therefore, the required value is [tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex].
The depth of a river at flood stage is marked as "O" on a tall pole in the middle of a riverbank. The pole is marked in 1-foot intervals above
and below 0 to show the current depth of the water.
Drag a value and a word to the blanks to complete the sentence.
When the water level is at the "-4" mark on the pole, the river is
feet
the flood stage.
Answer:
When the water level is at the "-4" mark on the pole, the river is 4 feet below the flood stage.
Step-by-step explanation:
Given
[tex]Flood\ stage = 0[/tex]
Required
What does -4 represents
From the question, we can deduce that:
[tex]Above = +ve\ intervals[/tex]
[tex]Below = -ve\ intervals[/tex]
-4 belongs to the "below" category.
Hence, -4 mark represents 4 feet below the flood stage
A rectangle has a length of 5cm and a height of 4cm. Find the area of the rectangle
Answer: 20cm
Step-by-step explanation: 5cm x 4cm = 20cm
Hope this Helps!
Answer:
18
Step-by-step explanation:
Match the shape with the correct formula for finding the volume.
1. Cone
2. Cylinder
3. Triangular Prism
4. Rectangular Prism
5. Pyramid
━━━━━━━━━━━━━━━━━━━━━━
Formula for finding the volume of cone - ⅓πr2h
Formula for finding the volume of cylinder - πr2h
Formula for finding the volume of Triangular Prism - Bh
Formula for finding the volume of Rectangular Prism - lwh
Formula for finding the volume of Pyramid - ⅓Bh
━━━━━━━━━━━━━━━━━━━━━━
Answer:
Pyramid: 1/3 B x H Triangular: B x H Cone: 1/3 pi r^2 x H Rectangular Prism: L x W x H Cylinder: pi r^2 x H
Step-by-step explanation:
I need help asap for the math
Look at the problem below.
p + q = 17
If p = 8, what is q?
B. II
A. 25
C. 9
D. 8
Answer:
C
Step-by-step explanation:
8+q=17
17-8=9
The answer is 9
You would replace p in the equation with 8, then subtract 8 from 17 leaving you with 9
IK ANSWERS AREN’T CLEAR LOOK AT PHOTO!! HELP ASAP I WILL MARK BRAINIEST!
Answer:
a^2 b^7
Step-by-step explanation:
I believe this is right
D is going in the 4th quadrant. Please help
Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.
Step-by-step explanation:
$540 - $353.59 = $186.41
$186.41 - $4.98 = $181.43
$181.43 - $38.67 = $142.8
She has $142.8 left and if she want to buy the outfits for $49.20 she is going to have $93.6 left
A woman drives her car 180 miles in 3 hours. At this rate how far will she travel in 5 hours?
Answer:
288
Step-by-step explanation:
you would do 180 devided by 3 then multiply that number by 5
Does anyone know this ??
Answer:
C
Step-by-step explanation:
because I took the test
Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?
Answer: Tammy would have 9
Step-by-step explanation:
(6 3/4) / (3/4) =
= 27/4 / 3/4
= 27/4 * 4/3
= 27/3 * 4/4
= 9
Write an equation for each situation. Then solve.
a. Karyl has x tickets for rides at the carnival. Her sister has twice as
many tickets. Together they have 18 tickets. How many tickets does
Karyl have?
Answer:
Step-by-step explanation:
Step 1: let's divide the total tickets into 2 respectively ie 18÷2=9
Step2: nw let's divede the 9 into 2 respectively and that give us 4.5. since her sister has as twice if many tickets therefore karyl has 4.5 tickets.
What is the product?
Answer:
I believe that it is the 2nd option x(x-1)/2 but I could be wrong sorry if I am
add 10 to z, then double the result
Do not simplify any part of the expression.
2(z+10)
2z+20
Answer:
2z+20
find the reciprocal of each number 2/3, 1/7, 4 ( show work)
Answer:
A reciprocal is the fraction flipped around. So basically 3/2, 7/1, and 1/4. Since 4 is a whole number the denominator is 1. Therefore, the reciprocal is 1/4.
Neee help right answers please
Answer:
Step-by-step explanation:
Divided the first 2 numbers by eachother and then by four use a calculator
Answer:
1146198.07
Step-by-step explanation:
What is the total Fatima paid?
i need help ( no links ) ( picture attached)
Answer:
120-(30+48)= 42
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answer:
A
Step-by-step explanation:
It’s a
Answer:
A
Step-by-step explanation:
this isa because the 2 rectangles on the net will make the sides and the triangles will finish the prism when u fold it it will be a rectangular prism plz mark me brnliest ill send u friend request
If b=5 what is b3 answer?
Answer:
15
Step-by-step explanation:
We know that b=5. Therefore, b is 5. Therefore, we plug this into the expression. (5)3. 5 times 3 is equal to 15. Therefore, the answer is 15.
If this has helped you please mark as brainliest
WILL GIVE BRANLIST Probability Event:
You have a deck of 20 cards numbered 1-20. You draw a card from a deck and keep it. The next person draws another card. What is the probability you will both draw an even card?
Label the probability event above as either
A
Independent
B
Dependent
Answer:
9/38
Step-by-step explanation:
The odds of your drawing an even card from the deck are 10/20, or 1/2. The odds of your friend also taking an even card after (WITHOUT recplacing the card) is 9/19, which cannot be further simplified. You multiply the two -- 1/2 * 9/19 -- which results in your answer, 9/38. This is a dependent probability.
Can U Help MeSolve This?
Sequence Rule lNext Term
A. 5,9,17,33,__ l
B. 20,12,8,6,__ l
C. 2,8,26,80.__ l
D. 36,69,135,267__ l
E. 4,9,16,25,__ l
Answer:
A) 65
B) 5
C) 242
D) 531
E) 36
Step-by-step explanation:
A) Let the unknown term be x.
Difference between 5 & 9 = 4
Difference between 9 & 17 = 8 = 4×2
Difference between 17 & 33 = 16 = 8×2
It is observed that the difference between two terms is getting doubled. So,
Difference between 33 & x = 16×2 = 32
∴ x = 33 + 32 = 65
B) Let the unknown term be x.
Difference between 20 & 12 = 8
Difference between 12 & 8 = 8/2 = 4
Difference between 8 & 6 = 4/2 = 2
It is observed that the difference between two terms is getting halved.
Difference between 6 & x = 2/2 = 1
∴ x = 6 - 1 = 5
C) Let the unknown term be x.
Difference between 2 & 8 = 6
Difference between 8 & 26 = 18 = 6×3
Difference between 26 & 80 = 54 = 18×3
It is observed that the difference between two terms is getting tripled.
Difference between 80 & x = 54×3 = 162
∴ x = 80 + 162 = 242
D) Let the unknown term be x.
Difference between 36 & 69 = 33
Difference between 69 & 135 = 66 = 33×2
Difference between 135 & 267 = 132 = 66×2
It is observed that the difference between two terms is getting doubled.
Difference between 267 & x = 132×2 = 264
∴ x = 267 + 264 = 531
E) Let the unknown term be x.
4 = 2²
9 = 3²
16 = 4²
25 = 5²
It is observed that all the terms in the sequence are squares of consecutive natural numbers.
So, x = 6² = 36
A student sells ice cream bars. Her weekly salary is given by , where x is the number of ice cream bars sold. Her employer determines the amount withheld for taxes using the function , where x is her weekly salary. Write the amount withheld as a function of the number of ice cream bars sold. Hint: Use composition.
9514 1404 393
Answer:
W(x) = 0.06x +30
Step-by-step explanation:
The withholding on the student's salary is ...
W(S(x)) = 0.10(0.60x +300) = 0.06x +30
Where x is the number of ice cream bars sold, the withholding is ...
W(x) = 0.06x +30