Answer:
The longest braking distance one of these cars could have and still be in the bottom 1% is of 116.94 feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The braking distances of a sample of cars are normally distributed, with a mean of 129 feet and a standard deviation of 5.18 feet.
This means that [tex]\mu = 129, \sigma = 5.18[/tex]
What is the longest braking distance one of these cars could have and still be in the bottom 1%?
This is the 1st percentile, which is X when Z has a pvalue of 0.01, so X when Z = -2.327.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2.327 = \frac{X - 129}{5.18}[/tex]
[tex]X - 129 = -2.327*5.18[/tex]
[tex]X = 116.94[/tex]
The longest braking distance one of these cars could have and still be in the bottom 1% is of 116.94 feet.
HELP ME PLSSSSSSSSSSSSSSSSSSSSSSS
Answer:
39.5
Step-by-step explanation:
it's how many times 0.08 goes into 3.16
Answer: 2.53
Step-by-step explanation:
you divide it 0.08÷3.16 and like it would give you a large answer but just multiply it by 100 so you will get 2.53 and if you divide that by 3.16 it would give you 0.08 so the answer is "2.53"
0.08 ÷ 3.16 =0.0253164557 x 100= 2.53
Marco is coaching football 24 out of 30 days in June which decimal is equivalent to the fraction of days until he coach football
Answer:
Since the fraction of this is very obviously 24/30, here's how you can get a decimal out of that:
First, you simplify that fraction.
24/30 = 4/5, since 5x6 is 30 and 6x4 is 24
Now, it's pretty easy to convert 4/5 into a decimal.
This is how I like to do it. You re-convert the fraction one step higher, so it's 8/10, and you just turn it into 0.8, since it's all out of 10.
I hope I helped, and I'd appreciate a "Brainliest"! ☺
Need answer asap, correct answer will get brainliest.
Answer:
answer option number 4
Step-by-step explanation:
Answer:
p(2,-4) q(3,-1) r(4,-4)
Step-by-step explanation: Reflecting across the y axis changes the x coordinates.
please help!!!!!!!!!!!!!!!!!!
Answer: C. 1,485 cubic feet
Step-by-step explanation:
Ur welcome :)
Answer:
I am assuming the storage shed is shaped like a rectanglular prism.
v=lwh
v=9*15*11
v=1485 cubic feet
Answer is C.
WILL GIVE BRAINLIEST!!
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 5(1.07)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 9.19 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 1 to m = 9, and what does it represent? (4 points)
Step-by-step explanation:
The original function is f(m) = 5(1.07)^m, with the m as an exponent
part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m
plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9
part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent
part C) average rate of change from m = 1 to m = 9
f(9)−f(1)9−1
evaluate, and think about what that represents in terms of height and number of months
Terrell built a model of an airplane. The
length of one wing in the model is 4 inches
long. The scale of the model is 1 inch =
17.5 meters. Find the length of the actual
wing of the airplane.
Answer: 70 m
Step-by-step explanation: 4 inch 4·17.5 m = 70 m
Two planes just took off from St. Louis, MO. The first plane is traveling 3.5 times as fast as the second plane. After Traveling in the same direction for 9.5 hours they are 2375 miles apart What is the average speed of each plane? (Hint Since they are traveling in the same direction, the distance between them will be the difference of their distances.)
Answer:
Speed of first plane is 350 miles per hour
Speed of second plane is 100 miles per hour
Step-by-step explanation:
Let the speed of the second plane be X
Then the speed of the first plane will be 3.5 X
Distance travelled by first plane is 9.5 *X
Distance travelled by second plane is 9.5 * 3.5 X
Difference of distance between the two plane is
[tex]9.5 * 3.5 X - 9.5 *X = 2375\\23.75 X = 2375\\X = 100[/tex]miles per hour
Speed of first plane is 3.5 *100 = 350 miles per hour
Speed of second plane is 100 miles per hour
Simplify the product using the distributive property.
(3x + 7)(8x - 5)
Answer:
24x^2+41x-35
Step-by-step explanation:
(3x+7)(8x-5)
24x^2+56x-15x-35
24x^2+41x-35
Find the future value of #8000 at 12percent for 3 years
Answer:
Future value using simple interest = $10,880
Future value using Compound interest = $11,240 (Approx.)
Step-by-step explanation:
Given:
Principal Amount = $8,000
Rate = 12% = 0.12
Number of year = 3
Find:
Future value
Computation:
Future value using simple interest
Future value = P + (P)(R)(T)
Future value = 8,000 + (8,000)(0.12)(3)
Future value = 8,000 + 2,880
Future value using simple interest = $10,880
Future value using Compound interest
Future value = P[1+r]ⁿ
Future value = 8,000[1+0.12]³
Future value = 8,000[1.12]³
Future value using Compound interest = $11,240 (Approx.)
Simplify the expression. 104 + 8b - 2ą - 45
Answer:149 - 8b -2a
Step-by-step explanation:you put it in oder by 104 + 45 - 8b - 2a add 104 and 45 and you shoud get 149 then you put your problom together and get
149 - 8b -2a
sorry if it is not right i have not done this in a long time :(
newton has 28 cows Sally has 17 what is the sum?
Answer: 45
Step-by-step explanation:
Sum is addition so it would be
28+17=45
Answer:
45
Step-by-step explanation:
there are 47 cows in total !
BlueSky Air has the best on-time arrival rate with 80% of its flights arriving on time. A test is conducted by randomly selecting 16 BlueSky Air flights and observing whether they arrive on time.
What is the probability that 2 flights of BlueSky Air arrive late? (Give your answer to the nearest three decimal places).
Answer:
0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either they arrive late, or they do not. The probability of a flight arriving late is independent of any other flight. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
BlueSky Air has the best on-time arrival rate with 80% of its flights arriving on time.
This means that 100 - 80 = 20% are late, which means that [tex]p = 0.2[/tex]
Randomly selecting 16 BlueSky Air flights
This means that [tex]n = 16[/tex]
What is the probability that 2 flights of BlueSky Air arrive late?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.211[/tex]
0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late
help a girl out?
what is the solution to -3/4 x + 2<7?
Answer:
x > -6 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
-3/4x < 5
multiply each side by -4/3
x > 5(-4/3) *you must reverse the inequality symbol when mult or div by a negative
x > -20/3
Step-by-step explanation:
here is your answer in pic.
The answer is -20/3 or -6 2/3
The circumference of a circle is 22 meters. What is the approximate diameter of the circle?
Answer:
7
Step-by-step explanation:
to find the circumference of a circle the equation is C=πd where C is circumference, d is diameter, and using 3.14 for π
once we plug in the known information we are left with
22=(3.14)d
all that's left is to solve for d
22=(3.14)d
22/3.14=(3.14)/3.14 d
7=1d
7=d
PLSSS HELP ASAPPP I'LL GIVE YOU BRAINLIEST IF I GET IT RIGHT!!!
Answer:
D. 76
Step-by-step explanation:
because students that has 5 absences and less most likely to get higher than 75 marks. The student who has 8 absences studied at home, he's a genius
9
It costs only $0.25 per hour to play at Cybernet Cafe, but
there is a one-time membership fee of $25.00. Which
equation could you use to find the total cost D, in dollars,
of playing for n number of hours?
A D = 25n + 2500
BD = 0.25n + 25
с
D
n = + 25
0.25
On = 0.250D + 25)
The quadrilateral has the following side lengths: AB = 11, BC =7, CD = 9 and DA = 3. The angles at points A and C are right angles. What is the area of the quadrilateral?
Answer:
C
Step-by-step explanation:
We can calculate the area of triangles ABD and DBC, and then add them together to get the area of the whole quadrilateral.
[tex]A = \frac{11 \times 3 + 7 \times 9}{2} = \frac{33 + 63}{2} = \frac{96}{2} = 48[/tex]
Give a mathematical example to show the following:
Thank you
Answer: -(m/n) = (m/n)^-1 = 1 / (m/n)
Hence, a^-(m/n) = (1 / a^(m/n)) where m,n are rational numbers.
For example: let 1/2 be rational number and 4 be real number then, 4^-(1/2) = 0.5 = 1/(4^(1/2))
Brainiest if your right
i would say the answer is 5/8
because c is 3/4
Ella and Ola had 70 mushrooms altogether. 5/9 of Ella's mushrooms are brown and 2/17 of Ola's mushrooms are white. How many mushrooms did Ella have?
Answer:
45 mushrooms
Step-by-step explanation:
Ella and Ola had 70 mushrooms altogether. 5/9 of Ella's mushrooms are brown and 2/17 of Ola's mushrooms are white. How many mushrooms did Ella have?
Let the amount of Ella's mushrooms be x
Let the amount of Ola's mushrooms be y
If Ella and Ola had 70 mushrooms altogether, then;
x + y = 70
5/9 x = brown
2/17 y = white
Substiute
x + 5/9 x = 70
14 x/9 = 70
14x = 9 * 70
x = 9* 5
x = 45
Hence Ella has 45 mushrooms
What is the measure of DBE?
A publishing house is selling subscriptions to magazines for 10% off the original price. If a subscription to Time Magazine costs $58.50 with the discount, what was the original price?
Answer:
[tex]\bf\Huge 65 [/tex]
Step-by-step explanation:
Given that :A publishing house is selling subscriptions to magazines for 10% off the original price.If a subscription to Time Magazine costs $58.50 with the discount.to find :what was the original price ?explanation :finding the original price
⟼ 100 •/• - 10 •/• = 90•/•
⟼ 90.•/• = $ 58•50
⟼ 1 •/• = $ 58•50 / 90
⟼ 100 •/• = $ 58•50 / 90 × 100
⟼ 100 •/• = $ 5850 / 90
⟼ 100 •/• = $ 585 / 9
⟼ 100 •/• = $ 65.
∴ the original price is $ 65.
What is the value of y?
Answer:
- 1
Step-by-step explanation:
( x, y ) = ( 2, y )
x = 2
2x - 8y = - 4
Divide 2 on both sides,
( 2x / 2 ) - ( 8y / 2 ) = - 4 / 2
x - 4y = - 2
Substitute x = 2,
2 - 4y = - 2
- 4y = - 2 - 2
- 4y = - 4
y = - 4 / - 4
y = - 1
Will mark brainliest please help Debbie notices that the amount owed on her monthly heating bill varies inversely with the average outdoor temperature. Last month the average outdoor temperature was 35°F, and her bill was $210. If this month's average outdoor temperature is 40°F, what can Debbie expect her bill to be?
Answer:
The bill is $1837.5
Step-by-step explanation:
Given
[tex]B = Bills[/tex]
[tex]T = Temperature[/tex]
[tex]B\ \alpha\ \frac{1}{T}[/tex] --- The variation
T = 35; when B = 210
Required
Find B when T = 40
[tex]B\ \alpha\ \frac{1}{T}[/tex]
Express as an equation
[tex]B = \frac{k}{T}[/tex]
Make k the subject
[tex]k = BT[/tex]
T = 35; when B = 210
[tex]k = 35 * 210[/tex]
[tex]k = 7350[/tex]
When T = 40, we have:
[tex]k = BT[/tex]
[tex]7350 = B * 40[/tex]
Make B the subject
[tex]B = \frac{7350}{4}[/tex]
[tex]B = 1837.5[/tex]
I need help with this problem
1: yes
2:C
3:D
Step-by-step explanation:
a number is missing in no.3
the ans in 3 is -1,0,5,1,5,6
Two Distinct Rational roots
A.50
B.-loo
C.O
D.81
Write a number with one decimal place, that is bigger than 3
but smaller than 4
Answer:
The answer can be 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, or 3.9.
Step-by-step explanation:
All of those work
8
Which equation best describes the graph?
y
8
6
4
2
-8 -6
4
2
4
6
-2
-
-8
A
y = - *x+3
C y = -3x +
By=-3x + 3
Dy= -x+}
Answer:
b i think
Step-by-step explanation:
Help with this calculus problem please
You're using Newton's method to find the roots to
f(x) = g(x) → x ⁶ = cos(x)
Recast this as finding the roots to
h(x) = f(x) - g(x) = x ⁶ - cos(x)
First, get the tangent line approximation L(x) to h(x) at an arbitrary starting point x = x₀ ; in a small neighborhood of x₀, we have
h(x) ≈ L(x) = h(x₀) + h'(x₀) (x - x₀)
Find the root to the tangent line function:
0 = h(x₀) + h'(x₀) (x - x₀) → x = x₁ = x₀ - h(x₀)/h'(x₀)
x₁ is the first approximation of a root to h(x). Repeat the process - that is, take the tangent line to h(x) at x₁ to find the next approximation x₂, and so on - until you meet the required condition.
For the smaller root, take x₀ = -π/2 :
x₀ ≈ -1.5708
x₁ = x₀ - h(x₀)/h'(x₀) ≈ -1.31348
x₂ = x₁ - h(x₁)/h'(x₁) ≈ -1.11366
x₃ = x₂ - h(x₂)/h'(x₂) ≈ -0.982446
x₄ = x₃ - h(x₃)/h'(x₃) ≈ -0.928013
x₅ = x₄ - h(x₄)/h'(x₄) ≈ -0.920039
x₆ = x₅ - h(x₅)/h'(x₅) ≈ -0.919887
Stop at x₆ because |x₆ - x₅| ≤ 0.001.
For the larger root, you can start the process over with a different seed for x₀, such as π/2. But since h(x) is an even function and symmetric about the y-axis, the larger root will just be the same root with positive sign, 0.919887.
A recipe that makes 2.5 dozen muffins requires 1.25 cups of flour mandy wants to make 10 dozen muffins. How many cups of flour will she need?
Answer:
5 cups of flour
Step-by-step explanation:
if mandy wants a total of 10 dozen muffins, and 2.5 dozen of muffins require 1.25 cups, you'd first have to divide 10 by 2.5 to get the answer of 4. this means that per 2.5 dozen muffins she will need 4 times the amount of materials in order to get a total amount of 10 dozen muffins. therefore if 2.5 dozen muffins require 1.25 cups of flour, then you'd need to multiply 1.25 by 4 which is equivalent to 5 cups of flour.
written math;
10/2.5=4
1.25*4=5
answer=5 cups of flour