Answer:
ρ =45% or 0.45
ρ with ^ = [tex]\frac{18}{50} =0.36[/tex] or equivalently 36%
Step-by-step explanation:
ρ represents the population proportion of the bus riders, with a monthly pass, who are students.
The population proportion is simply the percentage of the entire population with a particular characteristic. We have been informed that in a city, 45% of the bus riders with a monthly pass are students. This means that 45% of the whole population of bus riders with a monthly pass are students. Therefore, our ρ is simply 45% or 0.45.
ρ with ^ represents the sample proportion of the bus riders, with a monthly pass, who are students. This is a statistic or an estimator as it is normally used to estimate the value of ρ, the population proportion. It is calculated using the formula;
ρ with ^ = [tex]\frac{x}{n}[/tex]
where n represents the size of the sample and x the number of individuals in the sample with a certain desired characteristic. We have been informed that;
in a random sample of 50 bus riders with monthly passes, 18 are students.
Using the above formula and the values given we have;
ρ with ^ = [tex]\frac{18}{50} =0.36[/tex] or equivalently 36%
A car traveled 120 miles driving 60 miles per hour. The trip took 2 hours.
If the car traveled 50 miles per hour, how much time would it take to reach the
same destination? Write your answer in hours and minutes.
the aquarium of americas has two new shark tanks. each shark tank holds a total of 1,440 gallons of water. the ratio of sharks to gallons of water in tank 1 is 8 to 120 and the ratio of sharks to gallons of water in tank 2 is 3 to 90
Answer:
144 total # sharks
Step-by-step explanation:
Don't know what it is that you are looking for BUT here is the total number of sharks
1440 / 120 * 8 + 1440 / 90 * 3 =
Help with this question
simplify tan(a)/sin (2a)
Answer:
[tex]\frac{sec^2(a)}{2}[/tex]
Combine the terms through trigonometric identity and simplify, this should be your answer(not the actual result of the problem, just the simplified expression).
Answer:
Step-by-step explanation:
The rule is generally to reduce anything that isn't a sin(theta) or cos(theta) down to those two.
Givens
Tan(a) = sin(a) / cos(a)
sin(2a) = 2 sin(a)*cos(a)
Solution
Tan(a)/Sin(2a) = sin(a) / cos(a) // 2 sin(a) * cos(a) / 1 Invert and multiply
Tan(a)/Sin(2a) = sin(a) / cos(a) * 2 sin(a) * cos(a) Cancel and combine
Answer: Tan(a)/sin(2a) = 1 / (2* cos^2(a))
Discuss the order of operations
Answer:
The answer can be found below.
↓↓↓↓
Step-by-step explanation:
[tex]\Large\boxed{\underline{\text{ORDER OF OPERATIONS:}}}[/tex]
If you need to determine the order of operations, use PEMDAS or BODMAS, which stands for:
[tex]\underline{\text{GIVEN:}}[/tex]
PEMDAS:
Parentheses ⇒ (3+4)Exponents ⇒ 3²Multiply ⇒ 8*4Divide ⇒ 12÷4Add ⇒ 6+6Subtract ⇒ 10-5BODMAS:
BracketsOrderDivideMultiplyAddSubtractI hope this helps, let me know if you have any questions.
A music concert is selling two types of tickets: VIP tickets and regular tickets. On the
first day, 70 regular
tickets and 25 VIP tickets were
sold raising $7325. On the second day, 40 VIP tickets
and
60 regular tickets
were sold raising $8600.
What is the cost of each type of ticket?
A. VIP tickets cost $
B. Regular tickets cost $
Answer:
A. each VIP ticket costs 125$
B. each Regular ticket costs 60$
Step-by-step explanation:
25A+70B=7325
40A+60B=8600
5A+14B=1465
2A+3B=430
10A+28B=2930
10A+15B=2150
13B=2930-2150=780
B=780/13=60
A=（430-3*60）/2=125
7x 3 1/4 Answer fast or not idc i don't even want to do this
434
because 7 times 31 will give u 217 and 217 divided by 4 will give an answer of 434.I hope my answer will help u.
Please help with math! :)
Answer:
1. (10,-4)
2. 12
3. 108
Step-by-step explanation:
First find the cordinate by seing were the point lands on the graph
sense it is +10 right the x = 10, and it is 4 below the origin making it a negitive 4, so u get (10,-4)
The graph is measured 2 units per box and sence the sides are parallel to the axies you can count each square by 2, giving you the measuers of 12 units.
Now finally, The area of a triangle is A=1/2bh, we arlready have our base, and we just found our hight, so now we just have to plug it in.
A= 1/2 (12) (18)
12*18 = 216
A= 1/2 (216)
A= 108
And we are done!
The diameter of a circle is 22 yards. What is the circle's circumference?
Use 3.14 for .
Will mark brainleest
Answer:
the circumference is 69.08
Step-by-step explanation:
If 22 is the diameter, all u do to find the circumference is multiply the diameter by 3.14.
Answer:
34.54
Step-by-step explanation:
22 is diameter
formula for circumference is radius times pi
2 radius=1 diameter
22/2=11
11*3.14=34.54
Use the Law of Cosines to solve the triangle. (Round your answers to two decimal places.)
a = 20, b = 5, c = 17
A =
B =
C =
Wht is 899 divided by 8
Answer:
112.375
Step-by-step explanation:
Brad and Angelina can mow their yard together with two lawn mowers in 20 min
. When Brad works alone, it takes him 30 min. How long would it take Angelina to mow the lawn by herself?
It takes Angelina_______ min to mow the lawn by herself.
Answer:
Let A = Angelina's timeLet
B = Brad's time 20
(1/A + 1/B) = 1 B = 30 20(1/A + 1/30) = 11/A + 1/30 = 1/201/A = 1/20 -1/301/A = 1/60A = 60 minutes for Angelina to do the lawn alone
Step-by-step explanation:
I hope this helped :)
PLEASE HELP FIND THE AREA ILL GIVE BRAINLIESTTTT
Answer:
638.4
Step-by-step explanation:
You could make 2 triangles (One on each side)
91.2*7=638.4
You could cut this in half, but it would be pointless as you are going to add it back again.
What is the lateral surface area of this right pyramid with a square base?
Answer:
The lateral surface area of a square pyramid is the sum of the areas of the side faces only, whereas the surface area is the lateral area + area of the base. The lateral area of a square pyramid = 2al (or) 2a√[(a 2 /4) + h 2]. To get the surface area, we need to add the area of the base (which is a 2) to each of these formulas.The surface area of a square pyramid = a 2 + 2al (or) a 2 + 2a[(a 2 /4) + h 2]. where, a = Length of the base (square) l = slant height; h = height of the pyramid.
Step-by-step explanation:
hope this helps if not let me know have a great day :)
In the diagram, m ZXYZ = 115° and mZWXY = 45°
Х
Answer:
m∠XWY = 70°
Explanation:
Two opposite interior angle sum up to one exterior angle on a straight line.
============
? + 45° = 115°
? = 115° - 45°
? = 70°
Answer:
The value of angle XWY = 70°
Step-by-step explanation:
=> angle XYZ + angle XYW = 180° { linear pair }
=> angle XYW + 115° = 180°
=> angle XYW = 180° - 115°
=> angle XYW = 65°
Now angle WXY + angle XWY + angle XYW = 180° { sum of angles of a triangle is 180° }
=> 45° + 65° + angle XWY = 180°
=> angle XWY + 110° = 180°
=> angle XWY = 180° - 110°
=> angle XWY = 70°
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish. He collects
and inspects 5 fish from each tank and finds that 3 fish have fin rot find the estimated number of
clownfish in the store that have fin rot.
The estimated value is given by the expected value. The estimated number of clownfish in the store that have fin rot will be 216.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
[tex]X \sim B(n,p)[/tex]
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The expected value of X is:
[tex]E(X) = np\\[/tex]
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish.
He collects and inspects 5 fish from each tank and finds that 3 fish have fin rot
Then the estimated number of clownfish in the store that have fin rot.
The number of the clownfish in the store will be
n = 12 × 30
n= 360
Then the value of p will be
[tex]p= \dfrac{3}{5}\\\\p = 0.6[/tex]
Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have
[tex]E(X) = 360 \times 0.6\\\\E(X) = 216[/tex]
Learn more about binomial distribution here:
https://brainly.com/question/13609688
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Answer:
Binomial distributions consist of n independent Bernoulli trials.
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The expected value of X is:
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish.
He collects and inspects 5 fish from each tank and finds that 3 fish have fin rot
Then the estimated number of clownfish in the store that have fin rot.
The number of the clownfish in the store will be
n = 12 × 30
n= 360
Then the value of p will be
Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have
Step-by-step explanation:
what is a pie chart in mathematics
Answer:
A pie chart is a type of graph that represents the data in a circular graph.
Answer:
Brainliest please if this helps!
Given the regular polygon, what is the measure of each numbered angle?
Answer:
Answer A
Step-by-step explanation:
Approach 1
B, C, and D are wrong because angles 1 and 2 are congruent.
Therefore your answer of both being 60°
Approach 2
Let x = angle 1.
360/x = 6
x = 60°.
Therefore Angle 1 is 60°
An interior angle of a hexagon is 120°
Let y = angle 2.
y is half of 120°
So 120/y = 2
y = 60°
How is the base of the cylinder related to the base of the cone?
their booth 4'
How are the heights of the cylinder and the cone related? their both 3'
Find the volume of the cylinder. Write your answer in terms of pi.
Do you know SpongeBob? According to a survey by Nickelodeon TV, 88% of children under 13 in Germany recognized a picture of the cartoon character SpongeBob SquarePants. What is the probability that a randomly chosen German child recognizes SpongeBob?
Answer:
22/25
Step-by-step explanation:
Well, you just convert the 88% into a fraction as probability is in fractions so 88% = 22/25
22/25
Step-by22/25-step explanation:
Write the mixed number as an improper fraction 4 1/6
Answer:
25/6
Step-by-step explanation:
Take the number on the left multiply by the denominator and add the numerator which is 4×6+1 =25
Reuse the same denominator which is 6 so 25/6
Work backwards: 25/6 to 4 1/6 (25 divide by 6 is 4 remainder 1 so 4 on the left and 1 as the numerator)
Answer:
25/6
Step-by-step explanation:
put the denominator as it is
Ellie is buying a camera for $615.50 and a camera bag is $65.50. If the sales tax rate is 8%, what will be the amount of sales tax on Ellie's purchase? A) $35.26 B) $40.58 C) $54.48 D) $58.72
Answer:
C: $54.48
Step-by-step explanation:
--> 615.50 + 65.50 = $681.00 or $681
--> 8% of $681 is $54.48
Hope this helped! :D
Order the numbers from least to greatest. 0.3, 9/25, 33%, 0.35
Answer:
0.3(least)
0.33
0.35
0.36(greatest)
Step-by-step explanation:
Okay, so first we need to have all of our numbers in the same category of variable. So first, we will convert 9/25 to a decimal.
To do that, we must divide 9 by 25 to get our answer of 0.36.
Now, we will convert the 33% to a decimal by dividing it by 100 to get 0.33
We now have our list, which should be ordered as:
0.3
0.33
0.35
0.36
The coach of a baseball team buys 7 bats and 6 balls for $3800. Later, she buys
3 bats and 5 balls for $1750. Find the cost of each bat and each ball
During the first half of a basketball game, a team made 50% of their 40 field goal attempts. During the
second half, they scored on only 40% of 30 attempts from the field. What was their field goal shooting
percentage for the entire game?
The answer maybe 5%
Jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?
Answer:
38
Step-by-step explanation:
If there is a constant rate of change in gas prices, all we do is divide 456 by 12 to see the price of each gallon.
Answer:
38
Step-by-step explanation:
456 divided by 12 =38.
Which operation is equivalent to dividing by 1/5?
A Dividing by 5
B Dividing by 50
C Multiplying by 5
D Multiplying by 5
A computer is used to generate passwords made up of numbers 0 through 9 and lowercase letters. The computer generates 400 passwords one character at a time.
A uniform probability model is used to predict the first character in the password.
What is the prediction for the number of passwords in which the first character is a vowel?
Round your answer to the nearest whole number.
56 passwords
77 passwords
111 passwords
233 passwords
The prediction for the number of passwords in which the first character is a vowel is 56 passwords.
How to find that a given condition can be modelled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are:
[tex]E(X) = np\\[/tex]
Given that the characters that can be used are numbers 0 through 9 and lowercase letters. Therefore, a total of 36 different characters are available.
Since we need to know the passwords made with vowels, therefore, the probability of a password in which the first character will be a, e, i, o, u is (5/36).
Now as the computer produces 400 passwords, therefore, the predicted value can be written as,
[tex]E = np = 400 \times \dfrac{5}{36} = 55.5556 \approx 56[/tex]
Hence, the prediction for the number of passwords in which the first character is a vowel is 56 passwords.
Learn more about Binomial Distribution:
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Find the missing dimension of the triangle.
Area = 30 mm
-
6 mm
b
b=
mm
Answer:
10 mm
Step-by-step explanation:
We know that the formula for a triangle is A= 1/2(b)(h)
Plug in 30mm for the area as shown and 6 for the base= 30=1/2(6)(h)
Solve= 30=3h
Divide each side by 3 to get h by itself. h=10 or b= 10
depends on which one is missing ^^
Help please!
A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that
Its focus is 30 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the
equation of the halfpipe?
A) (0,60); y = 1/240x^2 - 60
B) (0,60); y = 1/240x^2 + 60
C) (0,15); y = 1/60x^2 - 15
D) (0,15); y = 1/69x^2 + 15
Answer: i think the answer should be A,
Step-by-step explanation: I feel like iv done this before sometime ago but i have a feeling its A, hope this helps ^_^