Answer:
0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 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 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.
A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year
This means that [tex]\mu = 3, \sigma = 0.5[/tex]
What is the probability that a given battery will last between 2.3 and 3.6 years?
This is the p-value of Z when X = 3.6 subtracted by the p-value of Z when X = 2.3. So
X = 3.6
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.6 - 3}{0.5}[/tex]
[tex]Z = 1.2[/tex]
[tex]Z = 1.2[/tex] has a p-value of 0.8849
X = 2.3
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.3 - 3}{0.5}[/tex]
[tex]Z = -1.4[/tex]
[tex]Z = -1.4[/tex] has a p-value of 0.0808
0.8849 - 0.0808 = 0.8041
0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years
2x 3 +5x 2 +x−5 is divided by x+1x+1
Answer:1
Step-by-step explanation:
CAN SOMEONE PLSSS HELP ME! IT’S DUE TODAY. I NEED THE SURFACE AREA AND VOLUME...
Answer:
[tex]Surface \ area = 2 (LB + BH + HL) = 2 ((4\times 8)+(8 \times 6) + (6 \times 4))[/tex]
[tex]= 2(32 + 48 + 24)\\=2(104) \\=208 cm^2[/tex]
[tex]Volume = L \times B \times H = 4 \times 8 \times 6 = 192cm^3[/tex]
determine which graphic represents a function
Can anyone here help me out?
Answer:
A)15x+30=weekly income
B)8 hours
Step-by-step explanation:
15x+30= weekly income
The 15 multiplies because it says per hour
The 30 is constant because she only earns it once (per week)
15x+30=150
minus 30 from both sides
15x=120
divide by 15
x=8
4+6+9+10+10+10+10+10+10+10+10+10+10+10+10
Answer:
139
Step-by-step explanation:
Questionable answer:
The answer is 139.
Step-by-step explanation on how to solve 4+6+9+10+10+10+10+10+10+10+10+10+10+10+10:
Add 4, 6, 9, and 12 10's together, should add up to 139.
Please helppp!!!!!!!!!
9514 1404 393
Answer:
$705.78
Step-by-step explanation:
Put the given numbers in the formula and do the arithmetic.
P = $300, r = 0.13, n = 1, t = 7
__
A = $300.00(1 + 0.13/1)^(1·7)
A = $300·(1.13^7) ≈ $300·2.35260548
A = $705.78
There will be $705.78 in the account after 7 years.
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
Twice the difference of 1 and a number.
Answer:
2(1 - x)
Step-by-step explanation:
Twice the difference of 1 and a number
a number = x
The difference of 1 and a number is expressed as :
1 - x
Twice this difference, means the difference of (1-x) multiplied by 2
2 * (1 - x) = 2(1 - x)
An education reform lobby is compiling data on the state of education in the United States. In their research they looked at the percent of people who graduate high school in 10 different states. The data are provided below. Use a TI-83, TI-83 Plus, or TI-84 to calculate the sample standard deviation and the sample variance. Round your answers to one decimal place.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Let the missing value:
[tex]77.1 \\\\82.9 \\\\90\\\\91.3\\\\81.9\\\\83.3\\\\84.9\\\\82.5\\\\84.6[/tex]
Using the statistical software to calculate the output which can be defined as follows:
Summarizing the statistics:
[tex]Column \ \ \ \ \ \ \ a \ \ \ \ \ \ \ Mean \ \ \ \ \ \ \ Variance \ \ \ \ \ \ \ Std.\ \ der.\\\\ Data \ \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ 84.11 \ \ \ \ \ \ \ \ \ 16.432111 \ \ \ \ \ \ \ 4.053654[/tex]
From the above output:
[tex]Standard \ deviation\ S = 4.1\\\\Variance \ S^2= 16.4[/tex]
the $700 you put into the bank is being continuously at 1.2%. how much will it be worth after 3 years?
Answer:
$983.45
Step-by-step explanation:
Given data
Principal= $700
Rate= 1.2%
Time= 3 years
The compound interest expression is given as
A= P(1+r)^t
A= 700(1+0.12)^3
A= 700(1.12)^3
A= 700*1.404928
A=$983.45
Hence the balance will be $983.45
What does area mean? When you are asked to find the
area what are you doing?
Answer:
you want to muliply the length and width to find area.
Step-by-step explanation:
A map's scale is 1 inch : 3.5 miles.
If the distance on the map is
8 inches, then the actual distance
in real life is ___miles.
Answer:
28 miles
Step-by-step explanation:
[tex]\frac{1}{3.5}: \frac{8}{y}[/tex]
1 × y = 3.5 × 8
y = 28
The actual distance of the map is 28 miles.
What is multiplication?Multiplication is an arithmetic operation in mathematics. It also entails using the same kinds of phrases over and over again.
Example: 2 + 3 means that 2 has been increased by 3 or that 3 has been increased by 2 times.
A map's scale is 1 inch = 3.5 miles.
If the distance on the map is 8 inches
To find actual distance:
Use multiplication operation,
8 x 3.5
= 28 miles
Therefore, the distance is 28 miles.
To learn more about the multiplication;
brainly.com/question/19634536
#SPJ2
22. What is the mean of these
numbers?
2, 5, 4, 9, 5
Answer:
5
Step-by-step explanation:
Answer:
the mean is 5
Step-by-step explanation:
5.
How many 3/4 -foot-tall boxes can be stacked in one column against a wall that
is 12 feet high?
Answer:
I'm pretty sure its 16, so sorry if im wrong. Good luck!<3
Find the sum.
10 + 12 + 14 + ... + 80
Answer:
1620
Step-by-step explanation:
The amount of even integers between 10 and 80 inclusive is 36 (5 for each interval of 10 [e.g., 10-19 has 5, 20-29 has 5] and one extra for 80).
Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.
The average of the numbers is 45, since [tex]\frac{10+80}{2}=45[/tex]. We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.
[tex]45\times36=1620[/tex], so the sum is 1620.
PLEASE HELP!!!
You buy a car thats $11,800. The expected depreciation of the car is 35% per year.
Part A- what is the car worth each year it depreciates from the previous year?
Part B - Find the depreciated value of the car after 6 years.
YOU CAN ANSWER EITHER. BOTH WOULD BE NICE. PLEASE HELP.
Answer:
Part a- after one year of depreciation the car would value $7475
part b: the car would be worth $-12650
Step-by-step explanation:
not sure if its correct but that's what I got
A system consists of two independent components in parallel. The system works if at least one of the components works. If each component works with probability 0.65, what is the probability that the system works
Answer:
The probability that the system works is 87.75%.
Step-by-step explanation:
Given that a system consists of two independent components in parallel, and the system works if at least one of the components works, if each component works with probability 0.65, to determine what is the probability that the system works the following calculation must be performed:
1 - 0.65 = 0.35
0.35 x 0.35 = X
0.1225 = X
1 - 0.1225 = 0.8775
Therefore, the probability that the system works is 87.75%.
Choosing a tuna turkey or cheese sandwich on wheat or white bread with a side of potato chips corn chips or baked potatoes
Answer:
Cheese sandwich on white bread and a side of potato chips
Step-by-step explanation:
Melissa started a game at 5:06 PM and finished it at 6:32 PM.
How long did it take her? Give your answer in hours and minutes.
Answer:
1 hour 26 minutes
Step-by-step explanation:
Which one is it 2 or 4?
Answer:
option 2
Step-by-step explanation:
1: 2(4) = 8 not 6
2: 4 + 3 = 7
3: 9 - 4 = 5 not 13
4: 4/12 = 1/3 not 3
Whats the area?????????????
Answer:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Step-by-step explanation:
A local eat-in pizzeria wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 37 minutes. The owner has randomly selected 15 customers and delivered pizzas to their homes. What hypotheses should the owner test to see whether that the pizza delivery will be successful
Answer:
Hypothesis Test is:
Null Hypothesis H₀ x = 37
Alternative Hypothesis Hₐ x > 37
With that test hypothesis if we accept H₀ the result indicates that we can support that the average delivery time is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37
Step-by-step explanation:
The limit average time is 37 minutes. Therefore under that value, the owner is happy. From the sample we have:
Sample size n = 15
we have data from delivery times then we have the mean x of the sample and standard deviation of the sample s
We assume normal distribution and as n < 30 test should be developed with t - student distribution.
Hypothesis Test is:
Null Hypothesis H₀ x = 37
Alternative Hypothesis Hₐ x > 37
With that test hypothesis if we accept H₀ the result indicates that we can support that the average delivery time is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37
NEED HELP WHATS THE LOCATION
Answer:
-9, 5
Step-by-step explanation:
1. Three people went to lunch at a buffet restaurant that charges $9.99 per
person for food.
• Each drink is an additional $1.99.
• Sales tax is 8.5%.
• Each person orders a drink, food, and leaves a $1.50 tip.
How much was their total lunch bill?
A $14.50
B. $35.94
C. $39.99
D. $43.49
Find the missing dimension.
Answer:
1.66
Step-by-step explanation:
a = b*h
5.833 = 5*h
5.833/5 = h
1.166 = h
------------------------------------------
check work:
b*h = a
5 * 1.166 = 5.833
True
Answer:
1.66
Step-by-step explanation:
I did this already in my math class
What is the volume of the right rectangular prism, in cubic centimeters?
Vx
9 cm
3 cm
4 cm
cubic centimeters
©
Answer:
108 cm³
Step-by-step explanation:
Formula: V = w×h×l
Solution: V = whl = 4·3·9 = 108
Hence, the answer is 108 cm³
How many ways can you arrange the letters PASTEL?
24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .
a. Center: (-15, 9), Radius: 5
b. Center: (15, -9), Radius: 25
c. Center: (-15, -9) Radius: 5
d. Center: (15,9) Radius: 25
Answer:
a. Center: (-15, 9), Radius: 5
Step-by-step explanation:
Equation of a circle:
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this question, we have that:
[tex](x + 15)^2 + (y - 9)^2 = 25[/tex]
Comparing both equations:
[tex]x - x_0 = x + 15[/tex]
[tex]x_0 = -15[/tex]
And
[tex]y - y_0 = y - 9[/tex]
[tex]y_0 = 9[/tex]
The center is [tex](-15,9)[/tex].
For the radius:
[tex]r^2 = 25[/tex]
[tex]r = \sqrt{25} = 5[/tex]
The correct answer is given by option a.
If g=8 what is a value of the expression 9 2+3?
Answer: 8*2+3 = 16+3 = 19
Rachel started a race at 8:35 AM and finished it at 9:14 AM.
How long did it take her? Give your answer in minutes.
Answer:
that would be 39 minutes
Step-by-step explanation:
Answer:
The answer is 39 minutes
Step-by-step explanation:
You subtract 9:14 AM from 8:35 AM which equals 39 so the difference is 39 minutes.
LINK=REPORT
(4^2)^3=
A. 4^5
B. 4^6
C. 8^5
D. 16^5
(5^2)(5^3)=
A. 5^5
B. 5^6
C. 10^5
D. 25^5
(3^4)(3^5)=
A. 3^9
B. 9^9
C. 3^20
D. 6^20
Which is equivalent to 2^3•2^-5?
A. 2^-15
B. 2^-8
C. 2^-2
D. 2^2
If you answer all four of them and they are right I will give brainliest!
Answer:
a) 4^6
b) 5^5
c)3^9
d)2^-2
Step-by-step explanation:
When raising a number to a power and then to another power, you can multiply the exponents.
When multiplying numbers with the same base to different exponents, you can add the exponents.