Probability
In a game of pool, there are 15 balls numbered from 1 to 15. Out of the 15 balls, 8 of them have a solid white colour, numbered 1 through 8, and the rest are striped from 9-15. The 15 numbered balls are mixed into a large bowl, then 1 is drawn out.
What is the probability of drawing a multiple of 3?
What is the probability of drawing a multiple of 3 that is striped?
The probability of drawing a multiple of 3 is 1/3
The probability of drawing a multiple of 3 that is striped is 1/5
Simplify:
5(x+2) = 3x-8
x= -9
Mr Tillington is driving from the ALN store, he drove North 16.89 km and West 17.7 km. When returning back home, he decides to take a short-cut and directly drive to his house instead of turning the right angle. What is the distance that he has to drive?
A = 16.89 km
B = 17.7 km
C = 24.47 (rounded)
Luka wants a rectangular slab of purple potato with a volume of 70 cm3. The chef makes two slabs with the dimensions 8cmx2.6cmx1.7cm and stacks them together horizontally . When Luka tasted it, he said it was too small. Is he right?
Chef: 70.72 cm3, No he has 0.72 cm3 more than he asked for.
Joseph goes to game stop and purchases Super Mario 3d world for his Nintendo. He has a coupon of 10% for any game he buys. The Super Mario 3d World costs $79.99 and the tax is 13%. How much did Joseph save on the game? Round your answer to 2 decimal places.
Joseph saved $1.36 for the Super Mario 3d World
Mookie Betts plays baseball. Out of 3 balls, the pitcher can either throw the ball high, medium, and low without repetition and the batter has to try to hit the ball. Mookie swung the bat randomly without repetition. What is the probability that he’ll hit only 2 balls and miss 1 ball if the pitcher threw medium, low, then high?
Answer; 1/6
Solve for m:
y-intercept: 5
Point: (26,17)
12/26 = 6/13
Ren runs at an average speed of 114km/19. He began running 8km South and then turned 90 degrees and ran 15km East. If Ren were to run back to his starting point from where he is now, how long would he take to get back to his starting point? Round your answer to a whole number.
A= 8, B=15, C=17km
114km/19 = 6km/1
17/6 = 2.833
It would take him around 3 hours to run back.
Ivan and Hyuna were having a juice pouring competition. They wanted to see who could pour exactly, or close to half of the cup.
Ivan poured 479 cm3 of juice in a cup that was 8.5 cm tall with a circular base with a diameter of 12 cm.
Hyuna poured 306 cm3 of juice in a cup that was 7.5 cm tall with a circular base with a diameter of 11 cm.
Who poured closer to half of their cup?
Volume of Ivans cup: 960.84 cm3
960.84/2= 480.42cm3
Volume of Hyunas: 712.39 cm3
712.39/2=356.195
Ivan poured closest to half of his cup
An employee, called John, works at Best Buy. He makes a 15% commission for every computer he sells. Each computer is priced at $700. How many computers does John need to sell in order to make $15700? Round your answer to a whole number.
John would need to sell 150 computers to earn $15700.
There is a 6-sided die and a 5 sided spinner. Superhero 1 says the probability of rolling 3 and 5 1/30, however superhero 0.5 says it’s 15/30. Who is correct?
superhero 1: 1/6x1/5
Solve for x and y: 4x+9y=35 8y=24
x = 2 , y = 3
Mizi is walking in ANAKT garden. Usually, she starts by walking X km South and 19 km east right after to her destination. However, she felt like walking a different, skewed path of 18km South to her right from the starting point, which added 11.31km to her original east path. How long was her original south path as well as the distance between her start and destination?
C=12.85km
N = 14km
Sua wants to make a shell for her triangular-prism shaped pet rock that she can slip it in and out of. The rocks equilateral triangular base measured 12 cm on each side, and the rocks length was 10.9 cm long. She plans to wrap all 3 sides including one triangular face; like a cup. How much cm of shell does Sua need in order to make her pet rock a shell for?
Answer = Pythagorean for height of triangle - 10.39 cm
SA= 3(10.9x12) + ( 12x10.39/2)
SA= 3(130.8) + 62.34
SA= 392.4 + 62.34
SA= 454.74 cm2
Samuel goes to the body shop to buy some Candles for his girlfriend, Samantha, he sees that there is a 5% discount for rosemary and lavender candles. He strolls around the shop and sees many candles like Rosemary, Lavender, Lemon, and pine. The rosemary candle cost $22.00, the lavender candle cost $34.99, and the lemon cost $24.99. Samuel buys 1 rosemary, 2 lavender, and 1 lemon. How much is the total without tax? Round your answer to a whole number.
Samuel spent a total of $112 on 4 candles at the body shop.
Jay has an entire store of ribbons for colours of all sorts. For today's special, he has 5 different colours of ribbons: Midnight blue, crimson red, hot orange, lime green, and cold purple . A customer came in and asked to “surprise them”. Jay randomly took 3 ribbons from the 5. What is the probability that he’ll get at least one Cold purple ribbon, and only 1 Hot orange ribbon.
Answer: 3/23x2/22x1/21= 1/1771
On a farm, there are some goats and ducks. The farmer counted that there were 14 heads and 40 legs in total. How many goats and ducks are there on the farm?
On the farm, there are 6 goats and 8 ducks
Danny and Clifford began driving from the same point. Danny is driving North, and his car goes 12km/h. Clifford is driving West and his car goes 16km/h. Danny drove for 5 hours, and the distance between them is now 94.71km. For how long did Clifford drive?
Answer:
5x12=60
602=3,600
94.712=8,970 (rounded to the nearest whole number)
8970-3600=5,370 square rooted = 73.28
73.28/16 =4.58
He drove for nearly 5 hours
Joe and Haydy were making dubai chocolate. They needed to fill the cube mold with pistachio filling. The cube mold’s surface area measured to 65 cm2. Haydy had already made some filling and poured it to the brim in a cup that was 20 cm tall and had a diameter of 12cm. Will they have enough pistachio filling?
Answer: Mould dimensions = 13 cm
Mould volume = 13x13x13 = 2197 cm3
Cup volume = pi x 62 x 20
V = 2260.8 cm3
Yes, they will have enough pistachio filling and they will have 63.8cm3 left over.
Evelyn, Erika, and Emily went to a restaurant at 9:00 pm. They look at the menu and see that there is a happy hour from 9:00 pm to 12:00 am, which has a 20% discount on the total bill. They ordered a fish that weighs 3 lbs, and it costs $2.50/lb; they also added a bowl of egg fried rice for $11.99. And for dessert, they asked the waiter for 2 mango puddings for $3.99 each and a sorbet for $7.00. The tax is 13%. What is the total bill with and without the discount? Round your answers to 2 decimal places.
Evelyn, Erica, and Emily would spend $38.95 without the 20% discount and with the discount, they would spend $31.16.
You roll two six-sided dice. Given that the sum is even, what is the probability that both dice show the same number?
Answer: (6/18 = 1/3)
A theatre sold 500 tickets for a play. The tickets were divided into two categories: adult and children's. One adult ticket costs $12, and a child’s ticket costs $8. The total revenue was $5000. How many adult and children’s tickets were sold?
There were 250 adult tickets and 250 children’s tickets sold
Georgia and Zara run. There is a straight line going directly down that is 8m, this is their marker. To estimate, Zara ran around 40 degrees from the start of the line and ran 16m until she was horizontally aligned with the end of the marker. To estimate, Georgia ran around 60 degrees from the start of the line and ran 19.5m until she was horizontally aligned with the end of the marker. Thus, they had distance between each other as well as the marker. They wanted to know how far apart they were from each other.
Zara: A=8, B=13.86, C= 16
Georgia: À=8, B= 17.78, C=19.5
17.78 - 13.86 =3.92
They were 3.92m apart.
Drew decides to buy wall paper and flooring. Drew knows the volume of hisroom is 845m3. The height is 4 times more than the length, and the width is 1.5m less than the length. What are the dimensions of hisroom?
(L)(L-1.5)(4L) = 845
L = 6.5 metres
L= 6.5m, W= 5m, H= 26m
Lori invests 1/5 of his salary into her savings account only for this one time. Her salary is $6510. The bank offers a 5% annual interest. If Lori makes this one time deposit and leaves it untouched for 7 years, how much money will be in the account at the end of 7 years? Round your answer to 2 decimal places.
After 7 years, Lori will have $1,832.65 in her bank account.