Answer:
The length that separates the bottom 5% is of 4.87 centimeters.
The length that separates the top 5% is of 5.03 centimeters.
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.
Mean of 4.95 centimeters and a standard deviation of 0.05 centimeters.
This means that [tex]\mu = 4.95, \sigma = 0.05[/tex]
Bottom 5%:
The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = -1.645*0.05[/tex]
[tex]X = 4.87[/tex]
The length that separates the bottom 5% is of 4.87 centimeters.
Top 5%:
The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = 1.645*0.05[/tex]
[tex]X = 5.03[/tex]
The length that separates the top 5% is of 5.03 centimeters.
What is the intercept of the equation
Answer:
-2
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 0=3x+6 for x
BRAINLIEST FOR ALL 3 CORRECT ANSWERS, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
1. quarter turn 2. B 3. (b,-a)
Step-by-step explanation:
How many liters are there in 6 gallons?
Answer:
6 gallons = 3.785 liters
Answer:
1.5850323141
Step-by-step explanation:
Can someone help me ASAP!!!
9514 1404 393
Answer:
f(x) = {-x for x < 2; 2x-3 for x ≥ 2}
Step-by-step explanation:
The blue line extending to the left has a slope of -1 and a y-intercept of 0. Its equation is y = -x. That part of the definition of f(x) is applicable for values of x less than 2. (The open dot at (2, -2) tells you that point is not included.)
The red line extending to the right has a slope = rise/run = 2/1 = 2. The y-intercept can be found by extending the line to the y-axis, or from the computation ...
b = y -mx
b = 1 -2(2) = -3 . . . . . for the point (x, y) = (2, 1)
Then the slope-intercept equation for the red line is ...
y = 2x -3
That part of the definition of f(x) is applicable for values of x ≥ 2. The solid dot tells you the point (2, 1) is included.
Putting these parts together, we get ...
[tex]f(x)=\left\{\begin{array}{cc}-x&\text{if $x<2$}\\2x-3&\text{if $x\ge2$}\end{array}\right.[/tex]
Write rational numbers between 0 and 1
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please also say how did you solve it
this question has 10 points
I will mark you as Brillant if you answer it
Step-by-step explanation:
0/1 , 1/1
Multiply there denominators with any number...
0/1×60=0/60
1/1××60=60/60
Now,
You have many choices...
1/60,10/60,30/60,2/60,5/60........so on....
Math 3rd grade can someone explain easy for 3rd grade child thanks
Answer:
A is 16, B just draw a line down from the inside square to make a rectangle, C. just multiply all the numbers around the square
Step-by-step explanation:
<<
Answer:
A) 72 in²
B) From the bottom right corner of the shaded square, draw a line either straight down or to the right.
C) 56 in²
Step-by-step explanation:
A) 8x9=72 in²
B) From the bottom right corner of the shaded square, draw a line either straight down or to the right.
C) The shaded area is 4x4=16, so you need to subtract that from the 72.
72-16=56 in²
A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours
Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.
Therefore, 6 Hours/900 becomes our quotient
Again, since the denominator is larger we invert it to 900 calls/6 Hours
To get a demand of 150 calls per hour.
We need to be able to handle 150 calls per hour.
So how Many Call Representatives are needed?
Again, our historical data tells us that each person can handle 10 calls an hour.
Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!
Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.
if the given expression is multiplied by 3^6, which expression is not equivalent?
Answer:
8
Step-by-step explanation:
I can't see the pic.
Xavier writes a ratio out of 18 as the decimal 0.22222222.
Answer: 4/18
Step-by-step explanation:
The ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Xavier writes a ratio out of 18 as the decimal 0.22222222.
Let's suppose the x out of 18 can be written as 0.22222222
x/18 = 0.22222222
x = 3.999999 ≈ 4
It means 4/18 can be written as 0.22222222
Thus, the ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.
Learn more about the ratio here:
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Felicia paid $2,879 for a new wall oven with her credit card. Felicia’s credit card has an APR of 13.89%, compounded monthly. It took Felicia seven years of identical monthly payments to pay for her oven, and she made no other purchases with her card until it was paid off. Over the ten years that she kept the oven, it used an average of $2.97 per week in electricity. Between the electricity and the interest, which component of the lifetime cost of the oven was greater, and how much greater was it? (Round all dollar values to the nearest cent.)
a.
The interest cost $94.12 more than the electricity.
b.
The interest cost $1,638.52 more than the electricity.
c.
The electricity cost $1,334.60 more than the interest.
d.
The electricity cost $463.32 more than the interest.
Answer:
A. The interest cost $94.12 more than the electricity.
Step-by-step explanation:
2.97 x (10 years- 52 weeks in a year= 520) = 1544.40
P= PV x i / 1- (1+i)^-n
PV= 2879
I= .1389/12
N= 84 (7 years x 12)
53.78 x 84 = 4517.52
4517.52 - 2879 = 1638.52
1638.52 - 1544.40 = 94.12
Answer:
✅ A. The interest cost $94.12 more than the electricity.i got it right⬇️
How many cubes with side length of 1/3 cm does it take to fill the prism?
9514 1404 393
Answer:
120
Step-by-step explanation:
The dimension across the front in terms of cubes is ...
5/3 cm = 5×(1/3 cm) = 5 cubes
The front-to-back dimension in terms of cubes is ...
4/3 cm = 4×(1/3 cm) = 4 cubes
The height in terms of cubes is ...
2 cm = 6×(1/3 cm) = 6 cubes
Then the volume in terms of cubes is ...
V = LWH = 5×4×6 = 120 cubes
It will take 120 cubes to fill the prism.
i’ll give you brainliest if you help me pleasee
Answer:
2nd im pretty sure hope this helpss :) (:
Step-by-step explanation:
Pump B alone fills a tank in 9 hours. Pump C takes 15 hours to fill the same tank alone. If pumps A, B and C are used, the tank fills in 5 hours. How long does it take pump A to fill the the tank alone?
Answer:
19
Step-by-step explanation:
9+15=24
24-5=
19 is the answer
Pudding has 120 calories in 2 ounces. How many calories are in 8 ounces of the pudding?
Answer:
272 calories.
Step-by-step explanation:
jus solved it.
Answer:
480
Step-by-step explanation:
Which graph represents function f?
f(x) = (1/3)^x
Answer:
The second group represents function f.
Step-by-step explanation:
Hope it helps...
Have a great day
A function assigns the value of each element of one set to the other specific element of another set. The correct graph is B.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
The graph that represents the function can be chosen by substituting the values and checking the function.
If the value of x is kept as 0, then the function will be 1. Therefore, the graph will intersect the y-axis of the graph at 1.If the value of x is kept as 1, then the function will be 1/3. Therefore, the value of y is 0.33.Hence, the correct graph is B.
Learn more about Function here:
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Challenge #1 Press "Deal" to receive your cards. Drag cards from your hand to the red and blue area GOAL: Create two groups of cards with the SAME SUM using as many cards as possible. Submit 8,7,6,3,2,1
Answer:
ok
Step-by-step explanation:
:)
Find the measures of all the interior angles of the non-convex figure below.
Answer:
angle 3x = 78°
angle opposite (4x + 30) = 226°
Step-by-step explanation:
It has 6 sides, so:
total interior angles sum = (180° x 6) - 360° = 720°
720° = 90° + 3x + 90° + 118° + (360° - (4x + 30°)) + 118°
combine like terms:
720° = 3x + 416° + (360° - 4x - 30°)
720° = -x + 746°
x = 26°
HELP. NO links. Please help I've been on this for a while
Answer:61
Step-by-step explanation:
Answer:
[tex]\Huge\boxed{C.61}[/tex]
Step-by-step explanation:
Hello There!
Remember this is the triangle angle rule:
The angles of a triangle MUST have a sum of 180
That being said we can find the missing angle by subtracting the given angles ( 87 and 32 in this case) from 180
so missing angle = 180 - 87 - 32
180 - 87 = 93
93 - 32 = 61
so we can conclude that the answer is c
What is 46% of 22? Use a fraction and express your answer in simplest form.
Answer:
10 3/25
Step-by-step explanation:
you earn $9.15 per hour painting a fence. It takes 6.75 hours to paint the fence. did you make enough money. how much money do you have left.
Answer:
$61.76
Step-by-step explanation:
So I can't answer how much do you have left or did you make enough money, but I can calculate the money you made. Since it's $9.15 per hour and you worked 6.75, you simply multiply the numbers together. The money you made was $61.76.
Can someone help me?
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]
DK
X 148°
AR
>C
>C
B
Angles are not drawn to scale.
Enter
Answer:
Solution given:
x+148=180°[linear pair]
x=180°-148=32°
x=32° is your answer
Step-by-step explanation:
solution :
Given,
X+48 °= 180° [ being linear pair ]
X=180°-48°
X=32°
so,
X=32° answer.
hope it is helpful to you ☺️
HELP! PLEASE.............
9514 1404 393
Answer:
B. negative trend
Step-by-step explanation:
The sign of the slope of the best-fit line is the sign of the "trend". A line that slopes downward has a negative slope. Such a best-fit line indicates a negative trend.
functions A and B are shown in the equation and graph. select the true statement.
Which expressions represent the product of a variable and a coefficient?
Choose 3 answers:
11c
1/2 t
5. 10
j. 4
Answer:
A, B, and D
Step-by-step explanation:
A variable could be represented as a letter.
Coefficient is the number multiplying a variable.
Product means multiplication.
Therefore the expressions that represent the product of a variable and a coefficient are:
11c, ½t, and j*4
Which statement below about the quiz scores is true?
Answer:
need the whole question .....
Step-by-step explanation:
Answer:
The median score is 80 ;)
Step-by-step explanation:
what is the equation that has an x intercept of 4 and yintercept of 2. Show your work please
Answer:
y = -1/2x + 2
Step-by-step explanation:
If you are talking about a linear equation then b=2
The slope is y2 - y1 / x2 - x1 so 2-0/0-4 = 2/-4 = -1/2
So put it all together in y = mx + b so y = -1/2x + 2
Solve to find the height of a triangle with the base of 10 feet in the area of 21 feet
Answer: 4.2
Step-by-step explanation:
hb=2A
b=2·21
10=4.2ft
f(x) = 4x3 + 5x2 – 3x – 6
g(x) = 4x – 5
Find (f - g)(x).
Answer: soo
(4x^3+5x^2-3x-6)-(4x-5)
the answer is 4-^3+5x^2-7x-1
Step-by-step explanation:
Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below/attached
What are solutions to the equations
Answer:
A
Step-by-step explanation:
Answer:
x= -6 ,1
Step-by-step explanation:
B is the answer
x= -6 ,1