Answer:
The guarantee should be made of [tex]X = 1.555 + 14\sigma[/tex] years, in which [tex]\sigma[/tex] is the standard deviation given in part (a).
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.
Assume that the average life of a refrigerator is 14 years
This means that [tex]\mu = 14[/tex]
The standard deviation given in part (a) before it breaks.
This will be the value of [tex]\sigma[/tex]
However, the company does not want to replace more than 6% of the refrigerators under guarantee. For how long should the guarantee be made?
We need to find the 100 - 6 = 94th percentile, which is X when Z has a pvalue of 0.94. So X when Z = 1.555. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.555 = \frac{X - 14}{\sigma}[/tex]
[tex]X = 1.555 + 14\sigma[/tex]
The guarantee should be made of [tex]X = 1.555 + 14\sigma[/tex] years, in which [tex]\sigma[/tex] is the standard deviation given in part (a).
How many blue cars are there?
Answer:
45% Of the cars are there
because it says 45% so I am pretty sure that is it
In a large city school system with 20 elementary schools, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan. If they randomly select one of the elementary schools and contact every parent by phone, what kind of bias is there?A. bias due to the use of a voluntary response sampleB. response bias due to desire to give acceptable answersC. undercoverage bias due to a poor sampling frameD. no biasE. nonresponse bias
A should be the correct answer because it was selected randomly and the votes won't be fair.
Alison and Tyrone each bought a slice of pizza in the shape of a right triangle as
shown. What is the area of each slice of pizza? Who has the larger slice?
Alison 5in-W. 6inL
Tyrone 3in L. 8 W
Alison's slice of pizza has an area of in.
Answer:
The area of Alison's pizza would be 30 in.
Solve below from attached photo.
Step-by-step explanation:
hmkgckufkkhcxcnkifx mkufcb
What is the missing number? x:50 = 12:24
Answer:
Step-by-step explanation:
x/50 = 12/24
24x = 600
x= 25
((a^2m+n)(b^n-2m))/(a^n-m)(b^2m-n)
Answ((a^2m+n)(b^n-2m))/(a^n-m)(b^2m-n
Step-by-step explanation:
At age 17, Salma deposited $4,444 into an IRA, where it earns 9.8 % interest compounded monthly. What will it be worth when she is twenty-five?
Answer:
l
Step-by-step explanation:
Find the area of the shaded region
Answer:
Don't worry I will help to solve this problem OK.Sorry I don't understand please ask with other OK .
Step-by-step explanation:
base = 40
height = 16
Area of parallelogram = b×h = 40× 16= 640
Answer:
the area of the shaded area is 160 cm ²
Step-by-step explanation:
Hey There!
so the first step in solving this problem is to find the area of the whole shape
This is a trapezoid and the formula for area of a trapezoid is
[tex]A=\frac{a=b}{2} h[/tex]
a = base 1 (20)
b = base 2 (40)
h = height (16)
now we plug in the values
[tex]A=\frac{40+20}{2} 16\\40+20=60\\\frac{60}{2} =30\\30*16=480[/tex]
so the area of the trapezoid is 480
The next step is to find the area of the triangle
To do so we use this formula
[tex]A=\frac{hb}{2}[/tex]
h = height (16)
b = base (20)
now we just plug in the values
[tex]A=\frac{16*20}{2} \\16*20=320\\\frac{320}{2}=160\\[/tex]
The area of the triangle is 160
This figure is of a circle What is the best approximation for the perimeter of the figure? Use 3.14 to approximate pi 4 4 7 cm 77cm 3 cm 10 7 cm 18 8 cm
Gloria has a package of gummy worms. There are four flavors of gummy worms in the package- cherry, grape, lemon, and orange,
If she finds the sum of the probabilities of picking each flavor, what should always be her answer?
the answers are 1/2 , 1 , 2 , and 10
be sure to explain to get most Brainly .
Answer:1
Step-by-step explanation:it is right
2. Find the slope:
(-3, -27), (1,9)
Answer:
-3 -27-1,9
Step-by-step explanation:
899 plus 8
The slope of the points (-3, -27) and (1, 9) will be;
⇒ m = 9
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-3, -27) and (1, 9).
Now,
Since, The equation of line passes through the points (-3, -27) and (1, 9).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (9 - (-27)) / (1 - (-3))
m = 36 / 4
m = 9
Thus, The slope of the points (-3, -27) and (1, 9) will be;
⇒ m = 9
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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Jenny Noah and Mary baked cookies for the class party. They baked 15, 18, and 17 cookies respectively. What percent of all coolies did jenny bake?
Answer:
30%
Step-by-step explanation:
15/(15+18+17) = 15/50 = 0.3 = 30%
help me help me going tight mabye next friday night going for a plane ride
How to wright a related multiplication sentence for 1/4 divided by 5
1/4 / 5 is equal to 4x5, or 20.
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hope it helps
For which of the following graphs is y a function of x
Answer:
can you give us the whole sheet?
Step-by-step explanation:
Pls somebody that knows this answer it please
Answer:
Im pretty sure it is 48 but it could be 96
Step-by-step explanation:
I just found the area and halved that.
What did I forget to do in this question? What should the answer be?
Use only Quadratic Formula
[tex] {7x}^{2} + 9x + 2 = 0[/tex]
[tex] {x}^{2} + 9x + 14 = 0[/tex]
[tex](x + 7)(x + 2) = 0[/tex]
x= -7,x=-2
The mistake is in the first step. You seem to want to divide through by 7, but you only did it correctly with the x ² term. What you should have after doing this is
7x ² + 9x + 2 = 0
→ x ² + 9/7 x + 2/7 = 0
This step isn't actually necessary to begin with since the starting quadratic is easily factorized:
7x ² + 9x + 2 = (7x + 2) (x + 1) = 0
Then
7x + 2 = 0 or x + 1 = 0
7x = -2 or x = -1
x = -2/7 or x = -1
Evaluate the iterated integral 2 0 2 x sin(y2) dy dx. SOLUTION If we try to evaluate the integral as it stands, we are faced with the task of first evaluating sin(y2) dy. But it's impossible to do so in finite terms since sin(y2) dy is not an elementary function. So we must change the order of integration. This is accomplished by first expressing the given iterated integral as a double integral. Using this equation backward, we have 2 0 2 x sin(y2) dy dx
Answer:
Step-by-step explanation:
Given that:
[tex]\int^2_0 \int^2_x \ sin (y^2) \ dy dx \\ \\ \text{Using backward equation; we have:} \\ \\ \int^2_0\int^2_0 sin(y^2) \ dy \ dx = \int \int_o \ sin(y^2) \ dA \\ \\ where; \\ \\ D= \Big\{ (x,y) | }0 \le x \le 2, x \le y \le 2 \Big\}[/tex]
[tex]\text{Sketching this region; the alternative description of D is:} \\ D= \Big\{ (x,y) | }0 \le y \le 2, 0 \le x \le y \Big\}[/tex]
[tex]\text{Now, above equation gives room for double integral in reverse order;}[/tex]
[tex]\int^2_0 \int^2_0 \ sin (y^2) dy dx = \int \int _o \ sin (y^2) \ dA \\ \\ = \int^2_o \int^y_o \ sin (y^2) \ dx \ dy \\ \\ = \int^2_o \Big [x sin (y^2) \Big] ^{x=y}_{x=o} \ dy \\ \\= \int^2_0 ( y -0) \ sin (y^2) \ dy \\ \\ = \int^2_0 y \ sin (y^2) \ dy \\ \\ y^2 = U \\ \\ 2y \ dy = du \\ \\ = \dfrac{1}{2} \int ^2 _ 0 \ sin (U) \ du \\ \\ = - \dfrac{1}{2} \Big [cos \ U \Big]^2_o \\ \\ = - \dfrac{1}{2} \Big [cos \ (y^2) \Big]^2_o \\ \\ = - \dfrac{1}{2} cos (4) + \dfrac{1}{2} cos (0) \\ \\[/tex]
[tex]= - \dfrac{1}{2} cos (4) + \dfrac{1}{2} (1) \\ \\ = \dfrac{1}{2}\Big [1- cos (4) \Big] \\ \\ = \mathbf{0.82682}[/tex]
HELP ASAP!!!!! Solve for x and y. Round your answers to the nearest tenth.
Answer:
x = 9.4 and y = 8
Step-by-step explanation
If you're using a calculator to solve this, make sure it's in Degree mode.
Solve for x:
Sin(32) =[tex]\frac{opp}{hyp}[/tex] = [tex]\frac{5}{x}[/tex]
bring x to one side
x = [tex]\frac{5}{sin(32)}[/tex] = 9.4
Solve for y:
Tan(32) = [tex]\frac{opp}{adj}[/tex] = [tex]\frac{5}{y}[/tex]
bring y to one side
y = [tex]\frac{5}{tan(32)}[/tex] = 8
2+2 I need help with this, please
Answer:
4
Step-by-step explanation:
2 cookies + 2 cookies = 4 cookies!
The more cookies the better!
The average number of people who attended football games at a stadium increased from 8,000 people in the
year 2005 to 12,500 people in the year 2012. By what percentage did the average number of people at the games
increase from 2005 to 2012?
А
56.25%
B
43.75%
C 36%
D 64%
the Earth receives energy from the Sun through
Marissa launches a toy rocket in her backyard. The path of the rocket is
modeled by the equation h = 18t - 3t, where h is the height in feet, and t is the
time in seconds since the rocket was launched.
Answer:
maybe u should have paid attention in class buddy
Step-by-step explanation:
L
Jiya swam 200 meters more than Molly. Jiya swam a total of 800 meters. How many meters did Molly swim?
i can be red or i can your need help can your help me to kind i can be every color you like
Answer:
c-60/100
Step-by-step explanation:
6x10=60
10x10=100
making 60/100
or the other way round 60÷10=6 100÷10=10
i need help right now asap.....
Answer:
66+90+x=180
so x is = 180-156=24
Answer:
24°
Step-by-step explanation:
The answer is 24 ° because you can tell based off of the ∠ACD that it is a 90 ° angle and you can tell that line AD and line AB are perpendicular which means that they form two 90 ° angles. You know that ∠DCE is 66 ° meaning that the rest of the right angle must be 24 °.
Simplify
|x+3| if x > 5
Answer:
rrir
Step-by-step explanation:
e8
write as a simple fraction for x+3/x-3 - x-2/x+2
In a family of four children, what is the
expected number of boys?
Boys
2.
3
4
0 1
1/16 1/4
Probability
3
3/8
1/4
1/16
Answer:
The answer is 2
For the acellus people
Step-by-step explanation:
A recipe for chocolate chip cookies calls for 1 1/4 cups of flour .If you are making 2 1/4 recipes,how many cups of flour are needed?
Answer:
2 11/12 cups of flour
Step-by-step explanation:
2 recipes are 2 1/2 cups of flour
1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12
So, 2 11/12 cups of flour