20% of all people surveyed chose blue and 20% of the teachers surveyed chose green. Then the correct options are A and D.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Students and teachers at a school were asked if they preferred blue, green, red, or yellow.
The table shows the results of the survey.
[tex]\begin{matrix}&\rm Blue &\rm Green &\rm Red &\rm Yellow &\rm Total \\\\\rm Students &5 &10 &20 &15 &50 \\\\\rm Teachers &15 &10 &5 &20 &50\\\\\rm Total &20 &20 &25 &35 &100\end{matrix}[/tex]
A. The probability of the people who chose blue will be
[tex]\rm P = \dfrac{20}{100} = 0.2 \ or \ 20\%[/tex]
B. The probability of the student who chose red will be
[tex]\rm P = \dfrac{20}{50} = 0.4 \ or \ 40\%[/tex]
C. The probability of the student who chose blue will be
[tex]\rm P = \dfrac{5}{50} = 0.1 \ or \ 10\%[/tex]
D. The probability of the teachers who chose green will be
[tex]\rm P = \dfrac{10}{50} = 0.2 \ or \ 20\%[/tex]
E. The probability of the teachers who chose red will be
[tex]\rm P = \dfrac{5}{50} = 0.1 \ or \ 10\%[/tex]
F. The probability of the teachers who chose yellow will be
[tex]\rm P = \dfrac{20}{50} = 0.4 \ or \ 40\%[/tex]
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Pythagorean Theorem
solve for the missing side round to the nearest 10th I will mark you BRAINLIEST IF ANSWEREE CORRECTLY NO LINKS IF YOU DO NOT KNOW THE ANSWER DONT COMMENT ON THIS THREAD
Answer 10
Step-by-step explanation:
its 8 when you round it to the nearest 10 its will give you 10
10.0% complete
Question
You are writing a book about a 3,030-mile bike race across the United States. You wonder about a title, and how many pedal strokes it takes to finish the race. Assuming a pedal stroke is about 16 feet on average, which of the following would be the best book title?
Answer:
Step-by-step explanation:
"One Billion Pedals to Finish " seems like a good title to me, but, if you want a math correct title, then,
3,030mi* 5280 ft. per mile = 15,998,400 ft.
now divide pedals into ft.
15,998,400 / 16 =999,990 :D do you think they did that on purpose? made the answer 99999 :D I think so, soooo name the title "One million pedals to finish" or to be math accuate, but less "pop" , then "999,990 petals to finish"
I like "One million pedals" which do you like? :/ The very first answer? but totally wrong? :D, yeah, go with the " One Billion Pedals" sure, it's inaccuarate :DDD but very amazing :P
Write the number in expanded NOTATION 14.95
A function with an input of 1 has an output of 3. Which of the following could not be the function equation?
y = 3 x
y = - x + 4
y = x - 2
y = 2 x + 1
Answer:
y = x - 2
Step-by-step explanation:
The easiet method is to plug in both the x and y value. If the statement is true, that means that answer choice is wrong. Doing this, you find that answer Choice 3 is not correct. That is your answer.
find the area of the shape below giving your answer to the 1 decimal place. 10cm, 15 cm
Answer:
The area is : 189.27
Step-by-step explanation:
Rectangle: 10 x 15
Semicircle or half circle: A=πr2=π·52≈ 78.53982 = 78.54/2 = 39.27
Add Reactangle: 150 + 39.27
Dan read 126 pages of his book. He has 68% of his book left to read. How many pages are
in his bool
Enter the number in the box.
Answer:
394
Step-by-step explanation:
If he has 68% left to read, then he read 100% - 68% = 32%.
32% of the number of pages, n, equals 126 pages.
0.32n = 126
n = 126/0.32
n = 393.75
Answer: 394
If you need $25,000 eight years from now, what is the minimum amount of money you need to deposit
into a bank account that pays an annual percentage rate (APR) of 5% that is compounded-
a. once a year?
Please Help me on this ! ( don’t send links)
he price of a laptop was marked 80 percent off because it had a cracked screen.
If this resulted in a savings of $600, what is the value of x in the table above?
Answer:
Total Price = $750
Price Payed = $150
Step-by-step explanation:
Let me know if you need an explanation
select the correct number from each list to complete the equation.
8
-)+?
8
2
2.
-2
-2
Mit
to it
-4
3
-3
4
lto complete the equation.
8
-)+?
8
2
2.
-2
-2
Mit
to it
-4
3
-3
4
6
Roderick works as an architectural draftsman for an engineering firm. His monthly salary is $3,204.17. After taxes and other deductions, he takes home $2,317.56. His wife works as an electronics technician and earns $25.07 per hour. She works 37.5 hours each week and is paid every other week.
Based on this information, what is their gross income for six months?
Taxes are not deducted for gross income.
Roderick's gross income for 6 months = $3,204.17 × 6 = $19,225.02
Wife's gross income for 6 months = $25.07 × 37.5 × 26 = $25,057.5
Total gross income = $44,282.52
Which expression is equivalent to (-3m-2n³)²(4mn²p-4)?
Answer:
Step-by-step explanation:
(-3m-2n³)²(4mn²p-4)
= (-3m-2n³)(-3m-2n³)(4mn²p-4)
= (9m^2 +6mn^3 + 6mn^3 + 4n^6)(4mn²p-4)
= (9m^2 + 12mn^3 + 4n^6)(4mn²p-4)
= 36m^3n^2 p + 48m^2n^5 p - 36m^2 + 16mn^8 p - 48mn^3 -16 n^6
9. You are installing a swimming pool. Write a polynomial that represents the area of the walkway
8 ft width of the pool
(6x-4) ft length (of the pool)
(2x + 6) ft length of the Walk way
10x ft width of the Walk way
Answer:
(10x² +12x +32) ft²
Step-by-step explanation:
The area of the walkway around the pool is the difference between the area of the entire rectangle, and the area of the pool. The area of each rectangle is found by multiplying its length and width.
__
Overall area:
((2x +6) ft) × (10x) ft = (10x² +60x) ft²
Pool area:
((6x -4) ft) × (8 ft) = (48x -32) ft²
Walkway area:
overall area - pool area = ((10x² +60x) ft²) -((48x -32) ft²)
= (10x² +12x +32) ft²
Hey whats 56x78 then divide it by 5.
Answer:
873.6
Step-by-step explanation:
Answer:
873.6
Step-by-step explanation:
56 x 78 is 4368
4268 / 5 is 873.6
The dimensions of a triangular prism are shown in the diagram. The prism is not drawn to scale.
What is the volume of the triangular prism in cubic centimeters?
Answer:
151200 cm³
Step-by-step explanation:
volume = (area of base) × (height of prism)
volume = bh/2 × H
volume = (32 cm)(63 cm)/2 × 150 cm
volume = 151200 cm³
When multiplying 286 x 23 what is the first step?
Answer: the answer to your question is 6,578
Step-by-step explanation:
Answer:
first step multiple 286×23=578
Help please with this
Answer:
85 and 91
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS.
Answer:
see below
Step-by-step explanation:
7a is a term
3 is a constant
8b and 5b are 'like' terms
Which expression is equivalent to 16^3? 2^7 2^11 2^12 2^64
2^12
Step-by-step explanation:
16^3 = 4096
2^7 =128
2^11 = 2048
2^12 = 4096
2^64 = really big (1.8x10^19 to 2 s.f)
Hope this helps!
Please help me solve this
Answer:
[tex]x - 6 > - 2 \\ x > - 2 + 6 \\ x > 4[/tex]
Step-by-step explanation:
So, the answer is the first one
Answer:
{x | x ∈ R, x > 4}
Step-by-step explanation:
Given:
x - 6 > -2
Add 6 to both sides:
⇒ x - 6 + 6 > -2 + 6
⇒ x > 4
Therefore, the solution set is:
{x | x ∈ R, x > 4}
In a round of mini-golf, Clare records the number of strokes it takes to hit the ball into the hole of each green.
2 3 1 4 5 2 3 4 3
She said that, if she redistributed the strokes on different greens, she could tell that her average number of strokes per hole is 3. Explain how Clare is correct.
Answer:
She is correct because 3 appears the most amount of times.
What is the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees? (give the answer in decimal form rounded to the nearest tenth.)
The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.
What is the length of the arc?The arc length is defined as the interspace between the two points along a section of a curve.
An arc of a circle is any part of the circumference.
The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is given by;
[tex]\rm ARC =2\pi r \times \dfrac{\theta}{360}\\\\ARC =2\pi \times 12 \times \dfrac{45}{360}\\\\ ARC =3\times 3.14\\\\ARC =9.42[/tex]
Hence, the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.
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simplify 3(6a+3b)+5(2a-b).
Answer:
28a+4b
Step-by-step explanation:
Number two and three please asap
Answer: h and d
Step-by-step explanation:
the answer is correct because it shows it please give this a like
Determine the midpoint of each line segment with the given endpoints.
1. (-2,5) and (0,2)
2. (0,3) and (0,-3)
3. (-2,0) and (-4,0)
4. (9,0) and (0,-7)
Answer:
(-1, 3.5)(0, 0)(-3, 0)(4.5, -3.5)Step-by-step explanation:
Midpoint Formula
M = (x₁ + x₂ / 2, y₁ + y₂ / 2)#1 : (-2,5) and (0. 2)
M = (-2 + 0 / 2, 5 + 2 / 2)M = (-2/2, 7/2)M = (-1, 7/2)M = (-1, 3.5)#2 : (0, 3) and (0, -3)
M = (0 + 0 / 2, 3 - 3 / 2)M = (0, 0)#3 : (-2, 0) and (-4, 0)
M = (-2 - 4 / 2, 0 + 0 / 2)M = (-6/2, 0)M = (-3, 0)#4 : (9, 0) and (0, -7)
M = (9 + 0 / 2, 0 - 7 / 2)M = (9/2, -7/2)M = (4.5, -3.5)shift up 5 units
shift down 5 units
shift right 5 units
shift left 5 units
Answer:
The answer is shift up 5 units.
Square PQRS is drawn inside rectangle ABCD such that side PQ is on side AB and side SR is on side DC, as shown below. Line segment PB is 17 inches long and line segment DR is 15 inches long. What is the perimeter of rectangle ABCD?
The perimeter of the rectangle ABCD is the sum of its side lengths, and the perimeter is 70 inches
How to determine the perimeter of ABCD?The question is incomplete, as the figure of the square and the rectangle are not given; so I will give a general explanation
The perimeter (P) of the rectangle ABCD is calculated using:
P = AB + BC + CD + DA
Since the opposite sides are equal, the formula becomes
P = 2 * (AB + BC)
Assume that the values of AB and BC are 20 and 15, respectively;
The equation becomes
P = 2 * (20 + 15)
Evaluate the product
P = 70
Hence, the perimeter of the rectangle ABCD is 70 inches (using the assumed values)
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At a fudge shop, they cut a sheet of fudge into one-ounce pieces.
What would happen if they cut the sheet of fudge into one-pound pieces?
A.There would be more pieces.
B. There would be fewer pieces.
C. There would be no pieces.
D. There would be the same number of pieces.
Answer:
a
Step-by-step explanation:
If a and b are positive integers the system consists of which inequalities?
Answer:
D) y > -ax + b
E) y < ax - b
Step-by-step explanation:
The line with the negative slope (blue on attached diagram):
negative slope → -axshading above y → y >positive y-intercept → +bTherefore: y > -ax + b
The line with the positive slope (red on attached diagram):
positive slope → axshading under y → y <negative y-intercept → -bTherefore: y < ax - b
45 miles divided by 1 hour and 45 minutes
Answer:
(45 miles) / ((1 hour) + (45 minutes)) =
11.4953143 m / s
Step-by-step explanation:
Answer:
25.71 mph
Step-by-step explanation:
45 miles in 1.75 hours
45 miles /1.75 hours = 25.71 mph
Find a single expression that represents the area of the outer ring of the circle if the area of the whole circle is represented by the expression "25x2 − 12x − 9."
A) 18x2 − 12x − 6
B) 18x2 − 12x − 12
C) 32x2 − 12x − 6
D) 32x2 − 12x − 12
Answer:
18x2-12x-6
Step-by-step explanation:
I got it wrong and this was the answer. Take it or leave it