Answer:
We know that every 15th person gets a free box of popcorn.
This depends on order, but nobody knows what is his actual position, so we can assume that:
of 15 people, 1 will get a free box of popcorn.
Then the probability of getting free popcorn is:
1/15
And the negation, (the probability of not getting a free box) is:
1 - 1/15 = 14/15 = 0.93...
The probability of not getting a free box is, [tex]\frac{14}{15}[/tex]
Probability :Given that, from 15 people, 1 will get a free box of popcorn.
Then the probability of getting free popcorn is:
[tex]P(E)=\frac{1}{15}[/tex]
the probability of not getting a free box is,
[tex]P=1-P(E)\\\\P=1-\frac{1}{15}=\frac{14}{15}[/tex]
Learn more about the probability here:
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What the answer? 8x-(2x-3)=12
Answer:
x= 3/2 or 1.5
Step-by-step explanation:
First of all, you can take out the parenthesis because 8x is subtracting 2x-3.
8x-2x-3=12
6x-3=12
+3 +3
6x= 15
6x/6= 15/6
x= 3/2 or 1.5
Hope this helps!
Sonya has a books. Nick has 3 more books than Sonya. How many books do both children have together?
Answer:
[tex]2a+3[/tex] books
Step-by-step explanation:
Sonya -> [tex]a[/tex] books
Nick -> [tex](a+3)[/tex] books
Total: [tex]a+(a+3)=a+a+3=2a+3[/tex]
Simplify (x4 – 3x3 – 11x2 + 3x + 10) (x – 5)
Answer: -17+3x
step by step:
4-3x3-11x2+3x+10
4-9-11x2+3x+10
4-9-22+3x+10
-17+3x
Would the answer be 250 ?
Find the decimal that is equivalent to: 3/11
A: .27
B:0.3
C: 3.6
D: 0.27
Answer:
D
Step-by-step explanation:
85° 80° 100° x°
How do I do this?
Answer:
x = 95 degrees
Step-by-step explanation:
if you add the two angles that are right across each other, it should equal 180 degrees, so you subtract 180 and 85 to get 95 degrees
Which of these integers is not a whole number? A. -6 B. 6 C. 66
Answer:
-6
Step-by-step explanation:
Cuz it’s negative?
Answer:
-6 I think
Negative numbers are not whole numbers.
calculate the annswer when the largest prime number that is a factor of 35 is multiplied by the smallest prime number that is a factor of 15
Answer: 155
Step-by-step explanation:
5x - 2z = 8 -2y + 9z = 50 6x + 9y + 9z = 96
Answer:
there r algebra calulators you could use
Step-by-step explanation:
What is the name of this shape?
Answer:
octagon
Hope it helps
I am sure about this
Manny is participating in a Bike-a-thon and travels at a constant rate of 6 miles in 20 minutes.
a)Manny rode his bike for 3 hours. How far did he travel?
b)Manny rode his bike for 1.5 hours. How far did he travel?
Answer:
A. 54 miles B. 27 miles for the bikeathon
lower perfect square root of
18
I need help and can u explain how to do it please and thank u
Answer:
[See Below]
Step-by-step explanation:
✦ [tex]Formula:[/tex] π[tex]r^{2}[/tex]
π[tex]6^{2}=113.0973355[/tex]✦ Round:
[tex]113.0973355=113.1[/tex]So your answer would be [tex]C[/tex], [tex]113.1 ~cm^{2}[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
Answer:
yes ion think u need my help
Step-by-step explanation:
Find the S20 of this series
2, 6, 18,..
The first term in our sequence = 2
The common ratio = 6 / 2 = 3
n = the term we want to find.
2 * (3)^(n - 1)
2 * (3)^(20 - 1)
2 * (3)^(19)
2 * 1162261467
2324522934 is the 20th number in the series.
Marc is creating a rectangular garden in his back yard. The length of the garden is 18 feet. The perimeter of the garden must be at least 60 feet and no more than 76 feet. Write and solve a compound inequality to find the range of values for the width, w, of the garden.
Answer:[12,20]
Step-by-step explanation:
The value of width will be from 12 to 20.
What is the perimeter of the rectangle?The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.
Then the perimeter of the rectangle will be
Perimeter of the rectangle = 2(L + W) units
Marc is creating a rectangular garden in his backyard. The length of the garden is 18 feet. The perimeter of the garden must be at least 60 feet and no more than 76 feet.
Then the inequality is given as,
60 < 2(W + 18) < 76
Simplify the inequality, then the value of the width W will be
60 < 2(W + 18) < 76
30 < (W + 18) < 38
12 < W < 20
Thus, the value of the width will be from 12 to 20.
More about the perimeter of the rectangle link is given below.
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What is This Math Problem Equal To? 2×10+80÷2?
it is equal to 60 using pemdas
How to do an equation like this step by step? 4.5 (8 - x) + 36 = 100 - 2.5 (3x + 24)
Answer:
x = -10.6667
Step-by-step explanation:
Solve for x:
4.5 (8 - x) + 36 = 100 - 2.5 (3 x + 24)
4.5 (8 - x) = 36 - 4.5 x:
36 - 4.5 x + 36 = 100 - 2.5 (3 x + 24)
Grouping like terms, -4.5 x + 36 + 36 = (36 + 36) - 4.5 x:
(36 + 36) - 4.5 x = 100 - 2.5 (3 x + 24)
36 + 36 = 72:
72 - 4.5 x = 100 - 2.5 (3 x + 24)
-2.5 (3 x + 24) = -7.5 x - 60:
72 - 4.5 x = -7.5 x - 60 + 100
Grouping like terms, -7.5 x - 60 + 100 = (100 - 60) - 7.5 x:
72 - 4.5 x = (100 - 60) - 7.5 x
100 - 60 = 40:
72 - 4.5 x = 40 - 7.5 x
Add 7.5 x to both sides:
7.5 x - 4.5 x + 72 = (7.5 x - 7.5 x) + 40
7.5 x - 7.5 x = 0:
7.5 x - 4.5 x + 72 = 40
Grouping like terms, 7.5 x - 4.5 x + 72 = (-4.5 x + 7.5 x) + 72:
(-4.5 x + 7.5 x) + 72 = 40
7.5 x - 4.5 x = 3 x:
3 x + 72 = 40
Subtract 72 from both sides:
3 x + (72 - 72) = 40 - 72
72 - 72 = 0:
3 x = 40 - 72
40 - 72 = -32:
3 x = -32
Divide both sides of 3 x = -32 by 3:
(3 x)/3 = (-32)/3
3/3 = 1:
x = (-32)/3
(-32)/3 = -10.6667:
Answer: x = -10.6667
Which of the following fractions have the same value as 16+(-3)? Check all that apply.
16
-3
I FIF
-16
3
16
3
16
3
16
Answer:
I think 1st option is ✔️ correct
Answer:
ACE
Step-by-step explanation:
Simplify:
(-2x + y - 4)-(-3x – 2y)
A. x - y - 4
B. x + 3y - 4
C. -5x + y - 4
D. -5x + 3y - 4
Answer:
B
Step-by-step explanation:
-2x + y - 4 - - 3x - - 2y That distribuates the minus sign in front of the second set of brackets.
-2x + y - 4 + 3x + 2y
x + 3y - 4
That looks like B
Define same side interior
Answer:
two angles that are on the same side of the transversal and on the interior of (between) the two lines.
Step-by-step explanation:
Solve
-6y + 4 = |4y + 12|
Answer:
[tex]y = - \frac{4}{5} [/tex]
The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed since the beginning of this period to the present day?
Answer:
Step-by-step explanation:
The exact result is 1.0518984 x 1011 Minutes
(sorry if this doesn't make much sense)
The required number of minutes have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes
Given that,
The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed from the beginning of this period to the present day is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
200 million = 200 * [tex]10^6[/tex]
Now,
200 * [tex]10^6[/tex] year = 200 * [tex]10^6[/tex] * 365 days
200 * [tex]10^6[/tex] * 365 days = 200 * [tex]10^6[/tex] * 365 * 24 hours
200 * [tex]10^6[/tex] * 365 * 24 hours = 200 * [tex]10^6[/tex] * 365 * 24 * 60 minutes
= 1.0512 * [tex]10^{14}[/tex] minutes
Thus, the required minutes that have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes.
Learn more about arithmetic here:
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The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator with the program SDHYP and the P-value method. Source: Time Almanac 2012. State the hypotheses and identify the claim with the correct hypothesis. H_0: sigma H_1: sigma This hypothesis test is a (select) test.
Answer:
H0: sigma=12
H1:sigma≠12
This hypothesis test is a two tailed test.
Step-by-step explanation:
The null value described in the statement is 12 mg. So, the null hypothesis would be sigma=12. As the statement states that whether there is sufficient evidence to conclude that standard deviation differs from 12 mg, so the alternative hypothesis would be sigma ≠12. The alternative hypothesis contains inequality sign so, the hypothesis test is a two tailed test.
9 = a - 8
Help me please
There were 81 elk introduced in Missouri in 2012. In 2018, there are about 170 adults. If the population continues to grow linearly at this rate, what will the population be in 2020?
Answer:
there will be 259 elk
Step-by-step explanation:
Help me and show me how to do it
Which of the following equations are dimensionally consistent?
(a) x=1/2at2,
(b) t=v/x,
(c) t=(2x/a)1/2
Answer:
A. x = 1/2at²
Step-by-step explanation:
Among the equations, the equation that is dimensionally consistent is x=1/2at² where;
x is the distance in meters (dimension is length (L))
a is the acceleration in m/s² (dimension is L/T²)
t is the time in seconds (s) (dimension of time is T)
Substituting the dimensions into the formula to check if we are going to arrive at the dimension for distance;
1/2at² = 1/2(L/T²)T²
= 1/2× L/T² × T²
= 1/2 × L
Since L which is the resulting dimension is the dimension for distance (x), this means that the equation x = 1/2at² is dimensionally consistent.
Paige's backyard is rectangular. It has a
length of 50 yards and a width of 80 feet.
Find the perimeter of Paige's backyard
using the correct number of significant
digits.
Answer:
probably 130
Step-by-step explanation:
well your gonna need to add both numbers together to see the out come of the answer
Find the volume of the prism.
Please help hurry
14 ft
32 ft
3 ft
V = 12 ft
Write your answer as a mixed number that is simplified
completely, Enter the number that goes in the green box
Enter
A dozen eggs cost $4.25 at the farm stand. Approximately how much does each egg cost (round to the nearest penny)