Answer:
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 40
Given that standard deviation of the Population = 15
Let 'x' be the random variable in normal distribution
Let 'X' = 25
[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]
Let 'X' = 55
[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]
Step(ii):-
The probability that between 25 and 55
P( 25 ≤ X≤ 55) = P( -1≤z≤1)
= A(1) - A(-1)
= A(1) + A(1)
= 2 × A(1)
= 2× 0.3413
= 0.6826
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Final answer:-
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
A computer program is tested by 5 independent tests. If there is an error, these tests will discover it with probabilities 0.1, 0.2, 0.3, 0.4, and 0.5, respectively. Suppose that the program contains an error. What is the probability that it will be found (a) by at least one test
Answer:
0.8488 = 84.88% probability that it will be found by at least one test.
Step-by-step explanation:
Either there are no errors discovered, or there is at least one error discovered. The sum of the probabilities of these outcomes is 1.
Probabilities of no errors discovered:
If there is an error, these tests will discover it with probabilities 0.1, 0.2, 0.3, 0.4, and 0.5. So, of not discovering the errors, the probabilities are: 0.9, 0.8, 0.7, 0.6, 0.5.
The probabilities of none discovering the error is:
[tex]p = 0.9*0.8*0.7*0.6*0.5 = 0.1512[/tex]
(a) by at least one test
None: 0.1512
At least one: 1 - 0.1512 = 0.8488
0.8488 = 84.88% probability that it will be found by at least one test.
helppp 30 pionts ............................................................
Answer:
I think these will work 2/4, 14/16, 4/8 if not sorry
Step-by-step explanation:
Answer:
1/2 = 2/4
7/8 = 14/16
1/2 = 5/10
Step-by-step explanation:
i h0pe this is c0rrect-
How do I show work for this?
Answer:
you don't because its not relivant
Step-by-step explanation:
Answer:
You dont need too. Im assuming this is ALEKS
Step-by-step explanation:
(4x-20)° what is the value of x
Answer: 4(x−5)
Step-by-step explanation:
I think this is right. If it’s not Im sorry. But if it is hope this helps!
For each gym membership sold, the gym keeps $42 and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym me
Answer:
Commission of the employee = 16%
Step-by-step explanation:
It is given that:
Amount kept by gym = $42
Amount given to employee = $8
Total fee = 42 + 8 = $50
Commission rate = [tex]\frac{Commission}{Total\ fee}*100[/tex]
Commission rate = [tex]\frac{8}{50}*100[/tex]
Commission rate = 0.16 * 100 = 16%
Therefore,
Commission of the employee = 16%
Answer:
Yeah I'm pretty much just clarification that it's 16% if anyone was wondering ;-; I don't really have much purpose here
Write an expression that represents the height of a tree that begins at 7 feet and increases by 2 feet
per year. Let t represent the number of years.
(Type integers or decimals.)
Enter your answer in the edit fields and then click Check Answer.
Check Answer
Clear All
All arts showing
Answer:
H(t) = 7 + 2t.
Step-by-step explanation:
H(t) means the height at time t:
H(t) = 7 + 2t.
can someone help me with this please?
Answer:
3x+6
Step-by-step explanation:
Distributive property is where youre multiplying the inside numbers by the outside number and it cannot be further simplified
The city of Gainesville is trying to determine the average price for a gallon of gas. They randomly sampled 28 gas stations and found the sample mean to be $2.58 with a standard deviation of $0.09. Assume that all of the assumptions are met. Calculate a 95% confidence interval for the population mean gas price in Gainesville.
Answer:
The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54
The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.
The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.
Marshall has 3 bags in each of his 2 toy chests. Each bag has 5 marbles. How many
marbles does he have in all?
A. 10
B. 15
C. 30
D. 35
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Answer:
C. 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
3 bags in each of 2 toy boxes. 3x5=15. That Would be the answer but he has 2 toy boxes go he has 6 bags. 15x2=30 or 15+15=30
You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation.
Answer:
4p-28=44, 4p=44+28, p=72÷4, p=18
The system of x+2y=5 and 3x+6y=k has infinite solutions find the value of k
A. 18
B. 5
C. 15
D. 10
Please help me What is the domain of the function y=2 square root x- 6
Answer: Mark me brainliest..
Step-by-step explanation: and imma put the answer inside the comments if you do so. youve got nothing to lose! :D
very easy 5th grade math. please look at photo and answer!! giving brainiliest
Answer:
Back Prism: 60
Front Prism: 90
Total Volume: 150
Step-by-step explanation:
Which relation is a function?
{(1, −1), (−2, 2), (−1, 2), (1, −2)}
{(1, 2), (2, 3), (3, 2), (2, 1)}
{(1, 4), (2, 3), (3, 2), (4, 1)}
{(4, 2), (3, 3), (2, 4), (3, 2)}
Answer:
c
Step-by-step explanation:
because all the x values in c are different
If a person walks 1/7 mile in 10 min how far will that person walk in one hour
Answer:
6/7 mile
Step-by-step explanation:
1/7 = 10
?= 10x6
1/7 x 6= 6/7
9. If the area of a square is given by the polynomial 4x2 – 36x + 81, then which of the following expressions represents the length of one side of the square?
A 2x - 9
B 2x + 9
C 4x - 18
D 4x + 18
Answer:
it is b
Step-by-step explanation:
Which number will you read 'two-tenths'?
Answer: two-tenths as a fraction is 2/10, and as a decimal it's 0.2.
Step-by-step explanation: The "0" is the ones place and the "2" is the tenths place. There is a chart below.
Write an expression for the number of small squares in pattern n
Please properly answer.
Answer:
(n + 2)² + 6
Step-by-step explanation:
pattern 1:
Total squares = 15
3² + 6 = 16
Pattern 2:
Total squares = 22
4² + 6
Pattern 3:
Total squares = 31
5² + 6
Looking at the series,
There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6
Hence, expressing the nth pattern in the form ;
(n + a)² + b
Where n is the nth pattern ; a = (Coefficient of n² in first pattern - 1) = (3 - 1) =2 ;
b = 6
Hence, we have ;
(n + 2)² + 6
What is the value of 4.6 – t when t = 3.1?
Answer:
4.6-t
4.6-3.1
THAT EQUALS
1.5
SOOO 1.5 IS U ANSWER
Step-by-step explanation:
Step-by-step explanation:
=4.6-t
=4.6-3.1
=1.5
hope it helps.
Chai Hu deposited $5500 in a savings account earning 6% interest compound quarterly if he makes no other deposits or withdrawals how much will he earn in 25 days
Answer:
5,477.63
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 6%/100
r = 0.06 per year,
Then, solve our equation for P
P = A / (1 + r/n)nt
P = 5,500.00 / (1 + 0.06/4)(4)(0.068448)
P = 5,500.00 / (1 + 0.015)(0.273792)
P = $ 5,477.63
Summary:
The principal investment required to get
a total amount of $ 5,500.00
from compound interest at a rate of 6% per year
compounded 4 times per year
over 0.068448 years
is $ 5,477.63.
** i got this from calculator soup
I need help finding the area of this shape can you please help
Answer: 139.27
Step-by-step explanation:
So let find the area of the black swuare the length is 10 and the widith is 10, using bxh the area is 100. Now let find the aea of the semi-circle. The area of a fill circle is pi radius squared so a semi circle area will be 1/2( pi radius squared). The radius is 5 so we can calculate 1/2 of 25 pi equal = 39.27. Now let add the areas: 100+39.27=139.27.
28800000, 1440000, 72000, 3600, 180, ...
Answer: I'm confused. What are you asking here?
Step-by-step explanation:
explain how to find 27 percent of 16
Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.
4.32
What is the value of x?
x+4/9=3/4
x = ¹¹⁄₃₆ Or 0.30555555555
Explanation:x + ⁴⁄₉ = ¾
Subtract ⁴⁄₉ From Each Sidex + ⁴⁄₉ - ⁴⁄₉ = ¾ - ⁴⁄₉
Simplifyx = ¹¹⁄₃₆ Or 0.30555555555
- PNW
Suppose that the functions g and f are defined as follows.
g(x)=-3+2x^2
f(x)=9-6x
a. Find (g/f)(2)
b. Find all values that are NOT in the domain of g/f
If there is more than one value, separate them with commas.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
[tex]\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x[/tex]
Calculating the value of [tex](\frac{g}{f})(2)[/tex]:
[tex]\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)[/tex]
[tex]=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\[/tex]
x=[tex]- \frac{\sqrt{3}}{2}[/tex] and x=[tex]\frac{\sqrt{3}}{2}[/tex] are not in the domain.
Domain: [tex]x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)[/tex]
What single decimal multiplier would
you use to increase by 17% followed by
a 15% decrease?
Answer:
i think 1.17 and 0.85
Step-by-step explanation:
Which two expressions are equivalent
Answer:
A
Step-by-step explanation:
A) the only answer in which the distributive property is used correctly.
express 180 as a percentage of 200
Answer:
90%
Divide 180 by 200, and you get .9. Convert that into. a percentage
Someone help me on question 10 please!
Answer:
Step-by-step explanation:
500÷9=55.56miles/h (correct to 3 decimal places)
List two examples of words/phrases that describe the mathematical operation of multiplication.
Answer:
Multiplied, Group Addition
Step-by-step explanation:
Again, all I know of.