A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the
probability of winning any given prize is always 1/4.
Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a
simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in
that trial.
4
5
6
7
8
9
10 11 12 13 14 15
# of boxes purchased
Use her results to estimate the probability that it takes fewer than 7 boxes to get all 4 prizes.
Give your answer as either a fraction or a decimal.
P(fewer than 7 boxes) -
Answer:
[tex]P(x < 7) = 0.383[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
Determine the probability that few than 7 boxes will be needed.
This is represented as:
[tex]P(x < 7)[/tex]
And the solution is:
[tex]P(x < 7) = P(x = 4) + P(x = 5) + P(x = 6)[/tex]
Each probability is calculated by dividing the number of dots by the total dots.
So, we have:
[tex]P(x < 7) = \frac{n(x = 4) + n(x = 5) + n(x = 6)}{Total}[/tex]
From the attached, the formula becomes:
[tex]P(x < 7) = \frac{4 + 6 + 3}{4+6+3+4+4+6+3+2+1+2+0+1}[/tex]
[tex]P(x < 7) = \frac{13}{36}[/tex]
[tex]P(x < 7) = 0.361[/tex]
Diego is sailing the ocean, and his ship is low on supplies. He needs to reach land and restock. Looking at his map, Diego estimates his ship's location and marks it with an \text{X}Xstart text, X, end text shown below at (-2,-4)(−2,−4)left parenthesis, minus, 2, comma, minus, 4, right parenthesis. 4 points on a coordinate plane. The point labeled, "Island A," is at -3, 1. The point labeled, "Island B," is at 3, -6. The point labeled, "Island C," is at -6, -7. The point labeled, "X," is at -2, 4. Graph units are in kilometers. What is the distance from Diego's ship to the closest island? Round the final answer to the nearest tenth of a kilometer. Do not round intermediate calculations. \text{ km} km
Answer:
5 kilometers
Step-by-step explanation:
Just use distance formula for each island to his boat
The distance between is the number of units between them, and the distance from Diego's ship to the closest island is 5.4 units
What is a point coordinate?A point coordinate is the location of a point on the coordinate plane
From the question, the coordinate of point X is:
X = (-2, -4)
The closest island to point X is the island B, and the coordinate is:
B = (3, -6)
The distance is then calculated using:
XB =√[(x₁ - x₂)² + (y₁ - y₂)²]
So, we have:
XB =√[(-2 - 3)² + (-4 + 6)²]
Evaluate
XB = 5.4
Hence, the distance from Diego's ship to the closest island is 5.4 units
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Help me please
Help me
Answer:
Squares have equal sides
Step-by-step explanation:
If LN is 46 then:
OM is also 46
PN is half of that so 23
ON and MN would be 32.53
What is the final selling price of a $150 phone with 230% markup and then 7% sales tax?
Answer:
369.15
Step-by-step explanation:
What is the volume. 25 points rewarded
Answer:
108 in
Step-by-step explanation:
6 x 3 x 6
There are three blocks so the length and width would stay the same by the height would be increased by times 3.
If the spinner shown is spun 40 times, predict the number of times the spinner would land on Section B.
Answer:
10 times
Step-by-step explanation:
Given that:
Number of sections = (A, B, C, D) = 4
Probability of spinner landing on section B on a single spin = required outcome / Total possible outcomes
P(landing on B) = 1 /4
Predicted Number of times spinner will land on D ; if spinner is spurned 40 times
1/4 * 40 = 10 times
Mrs.Lorentz bought 12 pounds 8 ounces of flour. This is 1/4 of the flour she will use to make sugar cookies in her bakery this week. If she uses 5 ounces of flour for each batch of sugar cookies, how many batches of sugar cookies will she make in a week?
Answer:
153 batches
Step-by-step explanation:
(I’ll give brainliest)Find the area of the circle below leave your answer in terms of Pi
Answer:
I think it's 20 i'm not so sure if you get it wrong than i'm sorry
What is the midpoint of the segment shown below no links please
Answer:
D. (2,5)
Step-by-step explanation:
Since the segment is straight and horizontal the y-value will still be 5. Now to find the midpoint you simply figure out how long the segment is and divide by 2. After dividing by 2 you can add that number to smallest value or subtract it from the largest value to get the midpoint x value.
HELP AND NO LINKS HELP
Answer:
b.
Step-by-step explanation:
Each of the provided angles are also a part of linear pairs, so 180-145=35
180-100=80
35+80=115
To solve for the final angle/the one they are wanting
180-115=65
8x + 3y = 10
-2x - 10y =16
Answer:
(2,-2)
x=2
y=-2
Answer:
1. [tex]x = \frac{-3}{5}y + \frac{5}{4}[/tex]
2. [tex]x = -5y - 6[/tex]
Step-by-step explanation:
PLSZSZ HELPPPP
The daily low temperatures
for Fairbanks, Alaska are
shown in the table. What
was the mean low
temperature for Fairbanks,
Alaska for January 1st-4th?
Answer: -16
Step-by-step explanation: The answer is -16 because you are looking for the median and you sort it out first:
-16.3, -16.1, -15.9, -15.7 cross them out and you should have -16.1 and -15.9 remaining. Add them (-32) then divide by 2. Then you should get -16. You’re welcome.
If the sales tax rate is 7 1/4 percent and Jessica paid $1.45 in sales tax for a
sweater, what was the price of the sweater?
Answer:
$20
Step-by-step explanation:
Find the price of the sweater by dividing 1.45 by 0.0725
1.45/0.0725
= 20
So, the sweater was $20
Heidikae reads 420 pages a week. In the summer, she reads 17% less. Approximately how many pages per week does she read in the summer.
The sum of 7 times a number and 3 equals 8
variable is w
Answer:
21w
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
13
20
help please !
Answer: D, 15.2
Step-by-step explanation:
use formula a^2 + b^2 = c^2
a^2 + 13^2 = 20^2
a^2 + 169 = 400
- 169 -169
a^2 = 231
sqrt sqrt
a = sqrt(231)
a = 15.198 = 15.2
9 x 2 3/4 pls help me
Answer: 24.75
Step-by-step explanation:
PLZZZ HELP MEEE I NEED TO TURN THIS IN
-5x + 42 = -8
-42 -42
-5x = -50
-5 -5
x = 10
Add the following rational numbers: 5/8 and 3/-10
Answer:
= 13/40
Step-by-step explanation:
(5/8) + (3/-10)
5/8 = 50/80
3/-10 = -24/80
then:
(5/8) + (3/-10) = 50/80 - 24/80
= 26/80 = 13/40
Answer:
13/40
Step-by-step explanation:
5. Find the volume of a cyclinder with a height of 6m and a radius of 3m.
169.56m^3
28.26m^3
339.12m^3
Answer:
169.56m^3
Step-by-step explanation:
In a lab, a substance was heated by 4°C each hour for 40 hours. What was the total change in temperature?
Answer: 160°C
Step-by-step explanation:
From the question, we are informed that a particular substance was heated by 4°C every hour for 40 hours.
The total change in temperature will be gotten by multiplying the change in temperature every hour by the total number of hours used. This will be:
= 4°C × 40
= 160°C
A gardener made a scale drawing of a lawn with a scale
factor of 1:8. The dimensions of his drawing are 9 inches
long by 5 inches wide. His partner plans to make another
scale drawing of the lawn, but with a scale factor of 1:16.
What are the dimensions of his scale drawing?
A. The length is 4.5 inches and the width is 2.5 inches.
B. The length is 10 inches and the width is 18 inches.
C. The length is 2.5 inches and the width is 4.5 inches.
D. The length is 18 inches and the width is 10 inches.
Answer:
the answer is A .I took the test and got it correct
Which function is the inverse of f(x) = 2x + 3
o f(x) = - 1 / 2 x - 3/2
o f(x) = 1/2 x -3/2
o f(x) = -2x+3
O f(x)=-2x+3
Answer:
[tex] \frac{ - 1}{2}x - \frac{ - 3}{2} [/tex]
Step-by-step explanation:
I think so
A animal shelter had 13 dogs and 15 cats. 4 dogs were adopted, and 1 cat died. then 6 more cats were rescued and 1 dog was adopted. then 3 more dogs were adopted, and 6 cats were added.
How many pets are there in all?
(whoever guess correctly gets brainliest)
Xavier bought a bicycle that was on sale for 15% off.If Xavier paid $68 for the bicycle,how much money did he save,compared to the original price
Answer:
12 dollars
Step-by-step explanation:
100%-15%=85%
68÷85%=80
The original price was 80 dollars.
Y=400(.99)^x is this growth or decay
Answer:
its decreasing. .........
The given function of the growth decay is decreasing.
We have given that,
Y=400(.99)^x
When does growth decay increase or decrease?
Exponential growth is a process that increases quantity over time. decreases over time, and is said to be undergoing exponential decay instead.
Therefore, The given function of the growth decay is decreasing.
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https://linksharing.samsungcloud.com/dQg1FGA50fUL
whoever answers correctly get brainliest.
Answer:
all of it
Step-by-step explanation:
Answer: 1, 2, 3, 4, 5
Step-by-step explanation:
which expressions is equivalent to 4(2x+3y)
Answer: 8x+12y
Step-by-step explanation:
Assuming this is a problem in a unit on distributive property, and thus, due to the apparent lack of options, will solve it as such:
The distributive property dictates that a(b+c) = ab+ac.
Thus,
4(2x+3y)
8x+12y
Hope it helps :)
Answer:
8x+12y
Step-by-step explanation:
Multiply both numbers times the number is outside the parenthesis
What are you finding when you solve for volume?
An object
To find two objects
To cover an object
To fill an object