Answer:
She should offer a guarantee of 13.76 years.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
The average life of a certain type of small motor is 10 years with a standard deviation of 2 years.
This means that [tex]\mu = 10, \sigma = 2[/tex]
If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?
She should offer the 100 - 3 = 97th percentile as a guarantee, so X when Z has a pvalue of 0.97, that is, X when Z = 1.88.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.88 = \frac{X - 10}{2}[/tex]
[tex]X - 10 = 2*1.88[/tex]
[tex]X = 13.76[/tex]
She should offer a guarantee of 13.76 years.
the supermarket down the street from tina sells a cereal like beard called delici-osos. Last week, they sold 45 boxes of cereal. How many boxes will they sell in 7 weeks?
Answer:
they will sell 315 boxes in 7 weeks
Step-by-step explanation:
This is because you have to multiply 45 x 7 = 315
) Jess has saved dimes ($ 0.10) and quarters ($ 0.25) in their piggy bank. Define the variables and write a
system of equations to determine the number of dimes and quarters if they have 25 coins worth $4.00
in total. Then solve the system using the best method for the situation.
Answer:
Quarters = 10
Dimes = 15
Step-by-step explanation:
d = number of dimes, q = number of quarters
d + q = 25 is the equation for number of coins
0.1d + 0.25q = 4 is the equation for value of coins
First, solve for d in terms of q:
d + q = 25
d = 25 - q
Then substitute that into the other equation:
0.1(25 - q) + 0.25q = 4
2.5 - 0.1q + 0.25q = 4
0.15q = 1.5
q = 10
And back to d = 25 - q, d = 25 - 10 = 15
Check the math:
0.1(15) + 10(0.25) = 1.5 + 2.5 = 4
LMK if you have questions
Find the sample variance and standard deviation of:
21, 12, 3, 9, 11
s2=?
Answer:
42. 2
6.496
Step-by-step explanation:
Given the data :
21, 12, 3, 9, 11
Variance :
S² = Σ(x - m)² ÷ (n - 1)
n = sample size = 5
m = sample mean = Σx / n
m = (21 + 12 + 3 + 9 + 11) / 5
m = 11. 2
(21-11.2)² + (12 -11.2)² + (3 - 11.2)² + (9-11.2)²
+ (11-11.2)² / (5 - 1)
S² = 42.2
Standard deviation, s = sqrt(42.2) = 6.496
PLSS ANSWEER ILL GIVE BRAINLIEST
pls explain how to solve the equasion.
Answer:
there does not seem like a picture so I dont know the answer
HELP 30 POINTS!!!!!HELP 30 POINTS!!!!!HELP 30 POINTS!!!!!HELP 30 POINTS!!!!!HELP 30 POINTS!!!!!
What is the value of p in the equation?
One-fourth (8 minus 4 p) + 2 p = 12
–20
–2
5
10
Answer:
-10 if you meant 1/4(8-4p)
-20 if you meant 1/4{(8-4p)+2p}
Step-by-step explanation:
Answer:
-10 if you meant 1/4(8-4p)
-20 if you meant 1/4{(8-4p)+2p}
Step-by-step explanation:
hope this helps have a great day.
A tower that is 126 feet tall casts a shadow 148 feet long. Find the angle of elevation of the sun to the nearest degree.
The angle of elevation is ____ degrees.
Answer:
[tex] \boxed{\theta = 40 \degree}[/tex]
Step-by-step explanation:
[tex] \tan( \theta ) = \frac{opp}{adj} = \frac{126}{148} \\ \theta = { \tan}^{ - 1} (0.8513) \\ \theta = 40.4[/tex]
Can someone please help me ??!!!!!
First problem:
C
Second:
A
Third:
C
how do you get a letter in math to a number
Answer:
You need to the value of the letter "variable."
Step-by-step explanation:
Answer:
Huh? Can I get more details?
Step-by-step explanation:
i need this done now pls and no bs he hehrhd pls i need this now!
Answer:
Dividing and Subtracting by a negative number will reverse the inequality sign, Addign and Multiplying by a positive number will stay the same. Please tell me if I am wrong.
Find the product of the following:
3.57 and 8.1
Pls help I’m being timed!!!!
Answer:
28.917
Step-by-step explanation:
i multiplied the two numbers
Pls help me on this problem
Answer:
The Answer for that is 100
Is -6 greater than -3??
Answer:
No.
Step-by-step explanation:
-3 is greater than -6. I Hope this helps. Im trying to level up so I'd appreiciate it if you marked me as brainliest. Thank you!
ayuda plis es para hoy.
Answer:
8.29
Step-by-step explanation:
Cada linea representa ,1
y como es la ultima linea de las 9 antes del 8,3 la respuesta es 8.29
What is the simplified form of the following expression?
RootIndex 3 StartRoot StartFraction 4 x Over 5 EndFraction EndRoot
StartFraction RootIndex 3 StartRoot 4 x EndRoot Over 5 EndFraction
StartFraction RootIndex 3 StartRoot 20 x EndRoot Over 5 EndFraction
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 5 EndFraction
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 125 EndFraction
Answer:
c StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 5 EndFraction
Step-by-step explanation:
Answer:
Step-by-step explanation:
C. [tex]\sqrt[3]{100}[/tex]x/5
Six friends went to a baseball game. The price for admission per person was $x. Three of the friends bought a hot dog for $3. Write and simplify an expression that represents the total cost
Answer:
y=6x+9
Where y is the total cost, x is the price for admission, 6 is the number of friends, and 9 is the amount spent on hotdogs.
Explain how to use the coordinates and absolute value to find the distance between points at (3, –7) and (3, 2).
Answer:
Using the formula for the distance between two points, which is generated using coordinates and absolute value, we find that the distance between these two points is of 9 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
This formula is generated using coordinates and absolute value.
In this question:
(3,-7) and (3,2). So
[tex]D = \sqrt{(3-3)^2+(2-(7))^2} = \sqrt{81} = 9[/tex]
The distance between these two points is of 9 units.
i need help simplifying 31/20
Answer:
31/20 is already in the simplest form.
Step-by-step explanation:
It can be written as 1.55 in decimal form (rounded to 6 decimal places).
Two different formulations of an oxygenated motor fuel are being tested to study their road octanenumbers. The variance of road octane number for formulation 1 is ı2 = 1.5, and for formulation, 2it is ı2 = 1.2. Two random samples of size n1 = 15 and n2 = 20 are tested, and the mean roadoctane numbers observed are x1 = 89.6 and x2 = 92 5. Assume normality. Find the 95%confidence interval for the difference in the mean octane number.
Answer:chomai
Step-by-step explanation:chomai
1. You see a pair of sneakers that are priced $150. You have a 20% coupon off all sneakers. How much do you pay for the sneakers with the discount?
Expression________________________
Answer: $120
Step-by-step explanation:
This is fairly easy if you use this solution to solve it
Take the $150 and multiply by 0.8
You multiply by 0.8 because you do
1-0.20 (20% off) to get 0.8
The equation will look like
$150(0.8)=$120
The Lcm of 4,9 what is that
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all visitors to the website are looking for other websites. Assuming that this estimate is correct, find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website. Round your response to at least three decimal places.
Answer:
0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.
Step-by-step explanation:
For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. 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.
5% of all visitors to the website are looking for other websites.
So 100 - 5 = 95% are looking for the website, which means that [tex]p = 0.95[/tex]
Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.
This is P(X = 2) when n = 4. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135[/tex]
0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.
A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?
You are visiting the rainforest, but unfortunately your insect repellent ran out. As a result, at each minute, with probability 0.5, one mosquito lands on your neck, and with probability 0.5, no mosquito lands. If a mosquito lands, it will bite you immediately with probability 0.2, or leave immediately with probability 0.8. a) What is the expected time between successive bites
Answer:
we will assume a variable X for time which is time between two successive bites and time until next bite.
X = (time between successive mosquito bites) = (time until the next mosquito bite).
According to the Bernoulli process, the bites occur parameter y = (0.5)(0.2) = 0.1.
X is a geometric random variable, so
E[X] = 1/p = 10
and
var(X) = (1 − p)/p^2 = (1 - 0.1)/0.1^2 = 0.9 / 0.01 = 90
Select the expression that shows the next step for the following division
problem:
11 유는
x
6
a.
b.
5
11
5
d.
11
O a.
ob.
O d.
A pack of 12 pens costs £3.60 . How much does one pen cost ?
30 cents
Step-by-step explanation:
Easy 5th grade math help giving free brainliest. please answer!!
Answer:
12
Step-by-step explanation:
3 ÷1/4= 12Answer:
12
Step-by-step explanation:
3 ÷ [tex]\frac{1}{4}[/tex]
Keep the first number, change the symbol, and flip the fraction. (KCF)
[tex]\frac{3}{1}[/tex] × [tex]\frac{4}{1}[/tex] Solve
[tex]\frac{12}{1}[/tex] or 12
Please answer the question below:
what term best describes the graph of x-1
Answer: it might be something like, descending slope, or declining slope, are there answer choices
Juliette ate 1/3 of a cake, and Brad ate 3/8 of the same cake. What fraction of the cake was eaten?
Answer:
17/24
Step-by-step explanation:
Find common denominators...
1/3 = 8/24
3/8 = 9/24
Now add...
17/24 of the cake was eaten
Hope this helps :)
Which reason justifies the statement below?
If AB + BC = AC and AC = EF + FG,
then AB+BC= EF+FG
Ill give brainless if answered fast
segment addition postulate
sum is the same