Answer:
n= 30
Step-by-step explanation:
240 divided by 8 is 30
Answer:
n equals 30
Step-by-step explanation:
On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred seventy-five were under 30 years of age. A total of 275 were under the influence of alcohol. Of the drivers under 30 years of age, 225 were under the influence of alcohol.
Let A be the event that a driver is under the influence of alcohol.
Let Y be the event that a driver is less than 30 years old.
1. Show the joint probability table.
2. Are A and Y mutually exclusive events? Explain.
3. Are A and Y independent events? Explain.
Answer:
Joint probability table :
_____ A _____ A'
_ Y_ 0.45 ___ 0.30
_ Y'_ 0.05___ 0.20
No
No
Step-by-step explanation:
Given :
Sample, size n = 500
A = driver is under the influence of alcohol :
Y = driver is less than 30 years old
P(A) = 275 / 500 = 0.55
P(Y) = 375 / 500 = 0.75
P(AnY) = 225 / 500 = 0.45
P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30
Joint probability table :
_____ A _____ A'
_ Y_ 0.45 ___ 0.30
_ Y'_ 0.05___ 0.20
To determine if it is mutually exclusive : P(AnY) = 0
P(AnY) = 0.45 ; hence, it is not mutually exclusive
For A and Y to be independent ; P(A|Y) = P(A) ;
P(A|Y) = P(AnY) / P(Y)
P(A|Y) = 0.45 / 0.75 = 0.6
Hence, A and Y are not independent.
So far, Hans has burned 112.4 calories. He wants to burn a total of 300 calories. How many more calories must Hans burn?
Answer:
You have to 300-112.4 which equals 187.6
and that is your answer!
Step-by-step explanation:
[tex]b + \sqrt{b} \: \: \: \: - 12[/tex]
factorize it
Pls HELP THANKS
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number.
Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the
situation? Check all that apply.
X equals 1/2 Y -3
2X minus Y equals -6
2X minus Y equals -3
X equals 1/2 ( Y -3)
Y equals 10 (X -1)
Answer:
Step-by-step explanation:
Can you help A B C Or D image is here
Answer:
the answer is C
Step-by-step explanation:
The question is in the picture down below!
25 degrees
35 degrees
45 degrees
55 degrees
Answer:
35°
Step-by-step explanation:
Complementary angles has a sum of 90°
m<A + m<B = 90°
2x + 23 + 4x -29 = 90° add like terms
6x - 6 = 90° add 6 to both sides
6x = 96 divide both sides by 6
x = 16 now replace the x in m<B = 4x - 29 with 16
4×16 - 29 = 35
For this question, if the answer is not a whole number, enter it as a fraction using / as the fraction bar.
Rajek, a truck driver, hauls containers for his customers. One customer wants to know the total amount of cardboard that can fit in a container at one time. The truck Rajek uses is shown below.
The base of the container has an area of 50 1/4 square feet.
Answer:
226 1/8
Step-by-step explanation:
Substitute the measurements of the container into the formula.
The amount of cardboard Rajek can fit in the container at one time is cubic feet.
The total surface area of the container is 9L + 9W + 50 1/4
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
To find the total amount of cardboard that can fit in the container at one time, we need to find the surface area of the container.
The container has a rectangular base with an area of 50 1/4 square feet.
Let's assume the length of the base is L and the width is W.
We know that:
L x W = 50 1/4
We also know that the height of the container is 4(1/2) feet, which is equivalent to 9/2 feet.
The container has two identical sides, which are rectangles with a length of L and a height of 9/2 feet.
The surface area of one side is:
L x (9/2) = (9/2)L
The container also has two identical ends, which are rectangles with a width of W and a height of 9/2 feet.
The surface area of one end is:
W x (9/2) = (9/2)W
Finally, the container has a top, which is a rectangle with a length of L and a width of W.
The surface area of the top is:
L x W
To find the total surface area of the container, we add up the surface area of each of these parts:
Total surface area = 2(L x (9/2)) + 2(W x (9/2)) + (L x W)
Simplifying this expression, we get:
Total surface area = 9L + 9W + LW
We know that L x W = 50 1/4, so we can substitute this into the equation:
Thus,
The total surface area of the container is 9L + 9W + 50 1/4
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Frisco ISD had a student enrollment of approximately 46,000 students in 2013 and is growing at an average rate of about 6% annually. If this rate continues the enrollment growth can be modeled using the equation 46000(1.06)t = y where t represents time in years and y represents number students. How many years will pass until the population of Frisco ISD is at 100,000 students? ≈ 13.33 years ≈ 85.91 years ≈ 5.62 years ≈ 2.05 years
Answer:
≈ 13.33 years
Step-by-step explanation:
The population of Frisco ISD after t years is given by the following equation:
[tex]y(t) = 46000(1.06)^{t}[/tex]
How many years will pass until the population of Frisco ISD is at 100,000 students?
This is t for which [tex]y(t) = 100000[/tex]. So
[tex]y(t) = 46000(1.06)^{t}[/tex]
[tex]46000(1.06)^{t} = 100000[/tex]
[tex](1.06)^{t} = \frac{100000}{46000}[/tex]
[tex]\log{(1.06)^{t}} = \log{\frac{100000}{46000}}[/tex]
[tex]t\log{1.06} = \log{\frac{100000}{46000}}[/tex]
[tex]t = \frac{\log{\frac{100000}{46000}}}{\log{1.06}}[/tex]
[tex]t = 13.33[/tex]
So the answer is ≈ 13.33 years
Please help!
Thanks!
Answer:
i think it's -2, -14 quardrant 2
Step-by-step explanation:
Can someone help me? I'll reward points and brainalist
Answer:
135 degrees
Step-by-step explanation:
45 is for half of the square so u would add 45+45+45 or 45x3. there is a half and 1 whole square.
Step-by-step explanation:
135 is the I g
forgot how to spell it but yeah
HELP MEEE!!!
Use the drawing below to answer the questions that follow.
What is the scale factor going from smaller to larger?
(reference photo please)
Step-by-step explanation:
Part A: Let see what number we can multiply by 3 to get 13.5
[tex]3x = 13.5[/tex]
[tex]x = 4.5[/tex]
so our answer is 4.5
Part B : Set up the proportion
3 and 13.5 correspond with each other and the question mark side corresponds with the 9 cm side.
let x = the side we are trying to find
[tex] \frac{3}{x} = \frac{13.5}{9} [/tex]
Cross multiply
[tex]27 = 13.5x[/tex]
[tex]x = 2[/tex]
so our answer is 2.
Which expression is equivalent to this polynomial expression? (2x^2 – 3y^2)(4x^4 + 6x^2y^2 +9y^4)
Answer:
[tex]26 {x}^{6} - 18 {x}^{2} {y}^{4} - 27 {x}^{4} {y}^{2} [/tex]
Step-by-step explanation:
click the link for alot more explanation, I'm tried typing
https://photomath.net/s/l5LVxj
Answer:
B
Step-by-step explanation:
Since no one responds to computer technology. There is a much more active group here and I hope that there are some computer scientists or anyone who can help me. :(
Guys, in a couple of days I need to do an infographic on the topic of where fonts live in pdf? Does anyone have an idea how I could do this, some advice, guidance, anything? Thanks in advance :)
Answer:
hmm just do your best and I'm sure your ace it :D
you roll two 6-sided number cubes
where is the question I dont see it
I need help fast! The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
60
Step-by-step explanation: will from the other two degrees added together then subtract from 180 and boom there's your answer
Answer:
x=8
Step-by-step explanation:
The sum of angles of any triangle=18076+44=120
so to get the value of the remained angle subtract that from 180
180-120=60
so
8x-4=60 add 4 to both sides
8x=64 divide both sides by 8
x=8
Riley invested $8,500 in an account paying an interest rate of 3.8% compounded
daily. Assuming no deposits or withdrawals are made, how long would it take, to the
nearest year, for the value of the account to reach $18,040?
Answer:20
Step-by-step explanation:
a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh. in that sample 2 oranges weigh 5 ounces. How many oranges in the shipment can the manager predict weigh 5 ounces
The number of oranges in the shipment can the manager predict weighing 5 ounces would be; 56.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.
Given that a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh in that sample 2 oranges weigh 5 ounces.
Now set up a proportion;
2/25 = (x)700
Cross multiplication;
700(2)= 25(x)
1400/25=x
x=56
Therefore, the number of oranges in the shipment can the manager predicts weighing 5 ounces would be; 56.
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−
1
+
−81
−
16
−
−1
Answer: it is -97
Step-by-step explanation:
because you break it down
-1-81-16+1 ( and the -- turns into a + )
( get rid of the + )
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=6°, and GE = 3.3 feet. Find the length of EF to the nearest tenth of a foot.
Answer:
EF = 3.3 ft
Step-by-step explanation:
cos 6 = 3.3/EF
0.9945 = 3.3/EF
EF = 3.32 ft
Distribute and Combine Like Terms. 2(x + 7) - 2x
Answer:
14
Step-by-step explanation:
You just multiply 2 to (x + 7) which gets you 2x + 14 and then subtract 2x from 2x seeing as they are like terms and you end up with 14.
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!
Nancy has a lot of things in her locker. There are 14 items in her locker, including 6 pencils. What is the probability that a randomly selected item from Nancy's locker will be a pencil?
A. 8/14
B 7/14
C 3/7
Answer: B 7/14
Step-by-step explanation:
omar paid $5 for his lunch and left $3 tip. what percent did omar tip his server
Answer:
60% of the payment of food
Step-by-step explanation:
he paid $5 for his food
and $3 for the tip
3/5 = 6/10 = 60%
60% of the original payment
NEED HELP QUICK
Jenny placed three bets on the football game over the weekend she lost the total amount of $27 how much money did she bet each time and what is X
Answer:
9
Step-by-step explanation:
She bet 9 each time, you can find this by doing 27 ÷ 3 :)
Answer:
she bet $9 each time and x is the number of bets
Step-by-step explanation:
27/3=9
$9 per bet
9x
x=number of bets
Which resource is a renewable resource?
coal
O gemstones
metal
trees
Answer:
trees
Step-by-step explanation:
Trees are renewable resources. Trees can be planted, grown up, and harvested for timber. Forests are a different thing, however. A forest is a mature ecosystem.
Trees are renewable resource.
Option D is correct.
What is Renewable Resource?A renewable resource is one that can replace itself spontaneously over time. As a result, despite human usage, it is sustainable.
Renewable resources are particularly important because of their potential to replace non-renewable, or finite, resources in energy production. Furthermore, renewable resources can provide cleaner energy solutions than nonrenewable resources such as coal and fossil fuels.
Coal, gemstones, and metals are considered as non-renewable resources since they can be exhausted and are not available for lengthy periods of time. They are used as time goes on.
Thus, Trees are Renewable resources.
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What is the area of the shaded region?
16 cm
A. 25.16 cm
B. 27.52 cm
C. 50.24 cm
D. 55.04 cm
10 POINTS PLS ANSWER PLSS ASAP THANKS
Answer: C
Step-by-step explanation:
Find the area of the circle.
Answer:
uhhh i got 113.09, so im assuming its 113.04
This is strange there's some sort of mistake with I-ready
Step-by-step explanation:
unit 10: circles Homework 4: Inscribed angles. please complete the following questions and explain how it is done.
Answer:
Step-by-step explanation:
5. angle FDE = 180-90-63 = 27°
arc FE = 2×27 = 54°
6. arc GJ = 360-68-31-115 = 146°
angle GHJ = 146/2 = 73°
7. angle GIJ = 146/2 = 73°
8. arc DAB = 2×101 = 202°
arc BCD = 360°-202 = 158°
angle A = 158/2 = 79°
angle B = 360-79-110-68 = 112°
10. see picture
5) The sum of angle in the triangle DEF is 180 degrees
mFE = <D
Recall that <D+<E+<F = 180⁰
<D+63+90 = 180
<D = 180-153
<D = 27 degrees
Hence the measure of arc FE is 27degrees
6) For this circle geometry, we will use the theorem
The sum of Opposite side of a cyclic quadrilateral is 180 degrees.
A + C = 180
m<A + 101 = 180
m<A = 180-101
m<A = 79degrees
Similarly
B + D = 180
m<B + 68 = 180
m<B = 180-68
m<B = 112degrees
7) The sum of angle in a circle is 360, hence;
arcGJ+68+31+115 = 36p
arcGJ = 360 - 214
arcGJ = 146⁰
Since the angle at the centre is twice angle at the circumference, then;
<GHJ = 1/2 arcGJ
<GHJ = 1/2(146)
<GHJ = 73⁰
<GHJ = <GIJ = 73⁰ (angle in the same segment of the circle are equal)
8) Recall that the sum of Opposite side of a cyclic quadrilateral is 180 degrees.
P + R = 180
57 + <R = 180
m<R = 180-57
m<R = 123degrees
Similarly, m<Q+m<S = 180⁰
Since the triangle in a semi circle is a right angled triangle, hence m<Q = 90 degrees (triangle PQR is a right angled triangle)
m<S = 180 - 90
m<S = 90 degrees
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simply the ratio of 650ml to 2litre
Answer:
13: 40
Step-by-step explanation:
as 650 ml is given
so 2l = 2000 ml
ratio = 650 / 2000
13/40
13:40
Whats the relationship between a and b
they are supplemen angles