Answer:
The maximum guaranteed waiting time should be of 18.37 minutes.
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.
It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.
This means that [tex]\mu = 15, \sigma = 2.4[/tex]
The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?
The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.405 = \frac{X - 15}{2.4}[/tex]
[tex]X - 15 = 1.405*2.4[/tex]
[tex]X = 18.37[/tex]
The maximum guaranteed waiting time should be of 18.37 minutes.
Find the perimeter of this semi-circle with diameter, d = 52cm.
Answer:
Perimeter = 133.681 cm
or 52.63 inches.
Step-by-step explanation:
"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."
let's use, πr + 2r
Diameter: 52
Radius: 26 (RAdius is half of the diameter)
πr + 2r (plug in)
pi x 26 + 2(26)
pi x 26 + 52
= 133.681 cm
or
= 52.63
3 dollars 2 dims 3 pennies
Answer:3+3+2
Step-by-step explanation:
you first want to add the biggest numbers
3+3=6
and then you add the the least number
3+3+2=8
8 will be the answer
4 1/8 take away 1 1/2 mixed numbers
Answer:
21/8 or 2 3/8
Step-by-step explanation:
33/8 - 3/2
33/8 - 12/8=21/8
hope it helps:)
Find the measures of the numbered angles in the isosceles trapezoid.
m<1=
9514 1404 393
Answer:
49°131°131°Step-by-step explanation:
The base angles are congruent in an isosceles trapezoid.
∠1 = 49°
Same-side angles are supplementary in any trapezoid.
∠2 = ∠3 = 180° -49°
∠2 = ∠3 = 131°
please help ill give brainly !! (no links)
Alfred Weagner noticed that the outline of many continents fit together, much like a puzzle leading him to propose the idea of a single super continental. This continental is known as-
A ) Eurasia
B ) Ind-Australia
C ) America
D ) Pangaea
Answer:
This continental is known as-
D) Pangaea
Answer:
choice D ) Pangaea
los habitantes de santa Ana quieren pintar las paredes de la iglesia, las cuales ocupan 5 dam² y necesitan dos manos de pintura. la pintura que se utilizará cubre 10 m² de superficie y cuesta $12.000 ¿cuánto cuesta la pintura que se debe comprar?
Answer:
25,000
Step-by-step explanation:
the answer is 25,000
The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?
1 cubic unit
5 cubic units
40 cubic units
55 cubic units
60 cubic units
Answer:
40 cubic units
Step-by-step explanation:
How many seconds are there in
January?
Answer: 2,678,400
Step-by-step explanation:
There are 31 days in January and 2,678,400 seconds
20 PTS LOOK AT PIC FOR QUESTION WILL MARK BRAINILEST clc
Answer:
295 square feet
Step-by-step explanation:
Break the figure up into 3 rectangles, and then find the area of each rectangle and add all areas together.
15*3=45
19*10=190
15*4=60
45+190+60=295
Answer:26 *15*4*5*3=23400
Step-by-step explanation: Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.
Pls answerwer for me
HELP 25 POINTS +BRAINIEST The weight of a substance measures 3 × 10^-3. grams. Express this weight in standard notation.
Answer:
Scientific notation is a way of writing very large and very small numbers.
A number in scientific notation has the form
N
×
10
a
, where
N
is a number between 1 and 10, and
a
is a positive or negative integer.
To convert to scientific notation, you move the decimal point until the new form is a number between 1 and 10 (
N
) and then record the exponent (
a
) as the number of places the decimal point was moved.
If you move the decimal to the right, the exponent is negative.
Express
0.000 000 03 g
in scientific notation.
Step 1. Move the decimal place to the right to create a new number between 1 and 10.
This gives
N
=
3
.
Step 2. Count the number of times you moved the decimal.
You moved the decimal 8 places to the right.
That means the exponent
a
=
-8
.
Step 3. Write the number in scientific notation.
0.000 000 03 g
=
3
×
10
-8
l
g
Step-by-step explanation:
What is the correct rule for y, in terms of x?
Answer:
Step-by-step explanation:
The correct rule for y in terms of x is
y = 3x - 4
we can check even
here when x = 1
y = 3 * 1 - 4 = - 1
similarly
when x = 2
y = 3 * 2 - 4 = 2
and so on you can check.
hope it helps :)
Answer:
the rule is y=3x-4
Step-by-step explanation:
m=y2-y1/x2-x1
m=2--1/2-1
m= 3/1
m=3
general equation of a line,
y=mx+c
if y=3x+c
if x=1 y=-1
-1=3+c
-4=c
therefore y=3x-4
If you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00.
Answer:
D
Step-by-step explanation:
V_C_C
for the vowel = 2/5
for the consonant = 3/5
for next three picks it should be 2/5 * 3/5 *3/5 = 0.144
Answer:
D
Step-by-step explanation:
Vowel is 2/5 or 40%
Consonant is 3/5 or 60%
VCC is .4 x .6 x .6 = .144
A student claims that 3√80 is in the simplest radical form. Which statement is true?
A. The claim is correct because 80 is not divisible by three.
B. The claim is correct because 80 is not a perfect cube.
C. The claim is incorrect because 80 has a factor of 4.
D. The claim is incorrect because 80 has a factor of 8.
Don't put a link as the answer.
Answer:
C)
Step-by-step explanation:
3[tex]\sqrt{80}[/tex] = 3 · [tex]\sqrt{4}[/tex]· [tex]\sqrt{4}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to 12[tex]\sqrt{5}[/tex]
help please! need it asap
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
These right triangles are similar due to the Angle Angle Similarity Theorem.
This means their side lengths are proportional
We need to find the corresponding sides of the inner triangle and full right triangle.
7 corresponds with 7 and 3.5
4 corresponds with x.
Set up proportion.
[tex] \frac{4}{7} = \frac{x}{7 + 3.5} [/tex]
[tex] \frac{4}{7} = \frac{x}{10.5} [/tex]
[tex]42 = 7x[/tex]
[tex]x = 6[/tex]
Plz I need to know this
Answer:
triangular prism
Step-by-step explanation:
Please help!! Prob and stats!!!
the volume of the cereal box is 192 and the volume of the shipping box is 51,840. how many cereal boxes can fit in the shipping box?
Answer:
270
Step-by-step explanation:
51840/192= 270
Answer:270 i think
hope thatm helps
A special CPI is constructed to measure the variation of these products, so that coffee and bread have a weight of 0.35 of the total and egg, ham and cheese 0.1 of the total. variation of the CPI?
9514 1404 393
Answer:
The CPI increased 3.42% in Month 2.
Step-by-step explanation:
In a spreadsheet, the weighted sum is easily computed using the SUMPRODUCT( ) function. It multiplies the corresponding values of two arrays, then returns the sum of those products. If one of the values is a weight, then the result is a weighted sum.
Your CPI is computed as the weighted sum of the prices of the individual products. The percentage change is computed in the usual way:
pct change = ((new value)/(old value) -1) × 100%
Of course, the spreadsheet can format a fraction as a percentage, so the computation of the change can stop after 1 is subtracted from the ratio.
The simplest form of the expression -2x^2(x-5)+x(2x^2-10x)+x is ?
Plz help me well mark brainliest if you are correct!!
Drag these numbers in order, from least (top) to greatest (bottom).
Drag and drop application.
Drag these numbers in order, from least (top) to greatest (bottom).
Answer:
I can't help you if I don't know the number
How do I Solve 6=18x
Answer:
1/3
Step-by-step explanation:
6=18x
for x
x=6/18
x=1/3
PLS HELP ASAPPP
I really need help
question: write in standard form.
2x^2+x^3-3+4x^5
Answer:
4x^5 + x^3 + 2x^2 -3
Step-by-step explanation:
Standard form is ( put simply ) the order the numbers are from highest to lowest. So the standard form of the equation would be 4x^5 + x^3 + 2x^2 -3
Digital Plus manufactures cameras. Last year, the company was able to produce 25,000 cameras each month.After introducing a new process for manufacturing this year, the company was able to produce 32,000 cameras each month. By what percent did production increase?
Answer:
28%Step-by-step explanation:
Increase of production:
32000 - 25000 = 7000Percent increase:
7000/25000 * 100% = 28%Total increase
32000-250007000Percentage
7000/25000(100)0.28(100)28%A circle with center P is shown. RS and ST are tangent to circle P. What is the degree measure of angle RST
Prove that sin^4x + cos^4x= sinxcosx
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
[tex]sin^4(x) + cos^4(x)[/tex]
We can rewrite this as:
[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]
Now we can add and subtract cos^2(x)*sin^2(x) to get:
[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]
We can complete squares to get:
[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]
and we know that:
cos^2(x) + sin^2(x) = 1
then:
[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
[tex]1 - \frac{sin^2(2*x)}{2}[/tex]
Then the simplification is:
[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]
Plutonium-240 decays according to the function e(t)=Q e-k where 0 represents the quantity remaining after t years and k is the decay constant, 0.00011... To the nearest 10 years, how long will it take 27 grams of plutonium-240 to decay to 9 grams? A. 1.44 years B. 2,100 years C. 9,990 years D. 18,900 years
Answer: 9,990
Step-by-step explanation:
Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 132 mg/dL and σ = 11.3 mg/dL. what is the level L such that there is probability only 0.01 that the mean glucose level of 5 test results falls above L?
Answer:
134.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.
The level is L = 134.6
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation
How many lines of symmetry does the figure below have?
C
Step-by-step explanation:
I got 4 lines of symmetry going horizontal and vertical, and two diagonal