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Related Questions
The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will last between 2.8 and seven years. (a) Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.) P < x < =
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Using the normal distribution, we have that:
a) The sketch of the situation is given at the end of this answer.
b) The probability is:
[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem:
Mean of 4.1 years, thus [tex]\mu = 4.1[/tex].Standard deviation of 1.3 years, thus [tex]\sigma = 1.3[/tex].Item a:
The part between 2.8 and 7 years is shaded on the sketch given at the end of this answer.
Item b:
The probability is the p-value of Z when X = 7 subtracted by the p-value of Z when X = 2.8, thus:
X = 7:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7 - 4.1}{1.3}[/tex]
[tex]Z = 2.23[/tex]
[tex]Z = 2.23[/tex] has a p-value of 0.9871.
X = 2.8:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.8 - 4.1}{1.3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
0.9871 - 0.1587 = 0.8284, thus:
[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]
A similar problem is given at https://brainly.com/question/25151638
(5x+4)-3x
Solve it.
No scam
Answers
Answer:
=2x+4
Step-by-step explanation:
Let's simplify step-by-step.
5x+4−3x
=5x+4+−3x
Combine Like Terms:
=5x+4+−3x
=(5x+−3x)+(4)
=2x+4
Answer:
2x+4...
Step-by-step explanation:
Hopefully it helps
In what quadrant will the reflection of (7,7) be located in
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Answer:
the first quadrant is positive, and positive so it would be the first quadrant
Step-by-step explanation:
simplify this please
Answers
Answer:
0? I tried solving it myself then I put it into my calculator and both times I got 0
Adam has $100 in his savings account. He earns $12 a week for babysitting. How much money will Adam have after 3 weeks of babysitting
Answers
Answer:
$136
Step-by-step explanation:
A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height of the rocket in feet is given by the polynomial −16t2 + 83t + 33, where t is the time in seconds. How high will the rocket be after 3 seconds?
a. 2586 feet
b. 234 feet
c. 138 feet
d. 105 feet
Answers
Answer:
c. 138 feet
Step-by-step explanation:
h(t) = −16t^2 + 83t + 33
At3 seconds
h(3) = -16(3^2) + 83(3) + 33
h(3) = -16(9) + 249 + 33
h(3) = -144 + 249 + 33
h(3) = 138
c. 138 feet
Write an inequality to represent this situation (1 point):
Jake earned more than $49 dollars.
Answers
The inequality that represents the situation is:
[tex]E_J > 49[/tex].
Jake earnings are unknown, so it is going to be represented by a variable, that we are going to call it [tex]E_J[/tex].His earnings are of more than 49 dollars, that is, [tex]E_J[/tex] is greater than $49, which means that the following inequality models this situation:
[tex]E_J > 49[/tex].
A similar problem, also involving an inequality built to represent a situation, is given at https://brainly.com/question/22312773
Does this graph represent a proportional relationship?
giving brainlist for correct
Answers
Answer:
No
Step-by-step explanation:
because it doesn't pass through the origin.
(02.05 MC)
Graph g(x), where f(x) = 4x - 2 and g(x) = f(x + 1).
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[tex]\\ \sf\longmapsto f(x+1)[/tex]
[tex]\\ \sf\longmapsto 4(x+1)-2[/tex]
[tex]\\ \sf\longmapsto 4x+4-2[/tex]
[tex]\\ \sf\longmapsto 4x+2[/tex]
g(x)=4x+2
Please help. I am not sure how to solve. Please include step by step. Thank you for the help!
Answers
Answer:
[tex]h = \frac{V}{\pi r^{2}}[/tex]
h = 4 cm
Step-by-step explanation:
Given the formula for the volume (V) of a cylinder: V = πr ²h, and the following values for volume and radius:
V = 36π cm³
r = 3 cm
First, solve for h:
V = πr ²h
Divide both sides by πr ²:
[tex]\frac{V}{\pi r^{2} } = \frac{\pi r^{2}h}{\pi r^{2} }[/tex]
[tex]h = \frac{V}{\pi r^{2}}[/tex]
Next, solve for the height of the cylinder by substituting the given values for volume and radius into the formula:
[tex]h = \frac{V}{\pi r^{2}}[/tex]
[tex]h = \frac{36\pi }{\pi (3^{2})}[/tex] → π cancels out.
[tex]h = \frac{36}{9}[/tex]
h = 4 cm
Find the perimeter of the
triangle.
16% + 16) cm
(9%-11) cm
Answers
Student Council sells bottled water at the cheerleading completion. At this rate, how many cases of bottled water would they sell in 3 hours? ________________________
Cases Sold: 3 and 6
Time (minutes): 20 and 40
Answers
Answer:
27
Step-by-step explanation:
Lets find the rate of selling:
Let v= the rate of selling, b = number of bottles of water, and t = time:
b over t gives us the [tex]v=\frac{b}{t}=\frac{3}{20}=\frac{6}{40}=0.15[/tex] rate of selling:
3 hours is 60min * 3 = 180 mins, and since v=b/t, vt=b:
(0.15) * 180 = 27 bottles of water
******Please help me help please help me ******
Answers
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
will mark brainlest answer the question in the picture linked below
and explain as well
Answers
Answer:
¹⁰√4
Step-by-step explanation:
4^(2/5*1/4)
4^(1/10)
¹⁰√4
A shipping container will be used to transport several 120-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 24000
kilograms. Other shipments weighing 5900 kilograms have already been loaded into
the container. What is the greatest number of 120-kilogram crates that can be loaded
into the shipping container?
Answers
Answer:
150.833... or 150 and 5/6 crates
Step-by-step explanation:
We can create an equation to solve this.
Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.
120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)
We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.
120x = 18100
Now we just have to isolate x by dividing by 120.
x = 150.83333333333333333333333333333
If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.
Using 1 Ib = 0.45 kg, answer the following questions:
5. A woman buys 2 kg of tomatoes. How many pounds of tomatoes does she buy?
6. Butter is packed in 250 g packs. What will the mass, in pounds, of a pack of butter?
7. A shopper buys 5 Ib of apples. How many kilograms of apples are purchased?
8. A consignment of steel weighing 5 tonnes is delivered to a factory; how many tons of steel are
delivered? (Note: 1 tonne = 1000kg) (metric unit) and (1 ton = 1016 kg)
Answers
Answer:
Step-by-step explanation:
2 kg / 0.45 = 4.4 lb
0.25 kg / 0.45 = 0.56 lb
5 lb * .45 = 2.25 kg
5000 / 1016 = 4.92 ton
4) Sally has 10 purple beads, 25 yellow beads and 30 red beads. She is
going to make identical bracelets for her friends. What is the maximum
number of bracelets she can make if she wanted to use all her beads?
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Answer:
5 bracelets
Step-by-step explanation:
The common factor of 10, 25 and 30 is 5
this means that each bracelet will have 2 purple, 5 yellow and 6 red.
Answer:
5 Bracelets
Step-by-step explanation:
the common factor of the numbers 10 25 and 30 is 5
5×2= 10
5× 5 = 25
5x6= 30
these numbers are also multiples of 5.
Please help! Due in 45 minutes!
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Attact image pls.
Consider the equation below. The value of x in terms of h is . The value of x when h = 4 is .
Answers
The value of x when h = 4 is 4.
The given equation is : 4(x − 3) = h. We need to find the value of x in terms of h and the value of x when h = 4.So, we will solve this equation by following the steps given below:
Step 1: Distribute 4 by x and 4 by -3. It gives us:4x - 12 = h
Step 2: Add 12 to both sides of the equation. We get:4x - 12 + 12 = h + 124x = h + 12
Step 3: Divide both sides of the equation by 4. We get:x = (h + 12) / 4
Therefore, the value of x in terms of h is x = (h + 12) / 4.
Now, we need to find the value of x when h = 4. We will put h = 4 in the above equation and get the value of x.x = (4 + 12) / 4 = 16 / 4 = 4.
For more such questions on equation
https://brainly.com/question/29174899
#SPJ8
Express (x + 2)² + 9 = 0 in standard form
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x^2 + 4x + 4 + 9 = 0
x^2 + 4x + 13 = 0
Answer:
x^2+4x+13=0
Step-by-step explanation:
I'm 100% certain this is right. Have a good day/night wherever you are! :D
I need the answer ASAP
Answers
Answer:
Step-by-step explanation:
49 i Think I dont know but your part A is correct
Answer:
49 For sure is your answer
Which number is 10 times the value of the 4 in 283.47 ?
Answers
Answer:
No answer sorry.
Step-by-step explanation:
10 times 4 ten thousands = 40 ten thousands = 4 hundred thousands. Explain how you know this equation is true. 10 × 4 ten thousands = 40 ten thousands = 4 hundred thousands.
Answer:
Value of 4= 0.4
10 x 0.4 = 4
Step-by-step explanation:
If a rectangular house is 50 feet wide and contains 2,500 sq/ft, what is its depth?
Answers
Answer:
50 ft
Step-by-step explanation:
The area of a rectangle = width × depth
area = 2,500 ft²
width = 50 ft
Substitute the values into the formula:
2,500 = 50 × depth
Divide both sides by 50 to find the depth:
2500 ÷ 50 = depth
depth = 50 ft
100 points! Please show your work :)
Answers
Answer:
7.76 minutes
Step-by-step explanation:
The +51 is regardless (being the y intercept) so it does not affect our answer. If the employee has to drive one mile (x=1) it will take 7.76 + 51 min to get there. If they have to drive 0 miles (x=0) it will only take 51 min. This is a difference of 7.76. You really just need to take the slope (I just used this example to make it make more sense) as x is the number of miles the employee has to drive, and therefore that times 7.76 would be how much longer it would take to drive to work.
How to solve 589 divided by 41
Answers
Answer:
14.365
Step-by-step explanation:
do long division or put it in a calculator
The percent of change from 200 to 220 and indicate if it is an increase or decrease.
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Answer: Increase
Step-by-step explanation:
x + 2y = 10
y=x-4
Choices are:
(0,4)
(2,6)
(6,2)
(8,0)
Work shown
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3.
1. The 20 students on the math team want to raise $490 to buy practice books.
They have already raised $220. If each student raises the same amount, how
much more money must each student raise?
Answers
Answer:
Each student must raise $13.50
Step-by-step explanation:
490-220=270 left to raise
270÷20=13.50
Essay buys 3 apples, 5 bananas, and 7 peaches from a market. What is the ration of bananas to total fruit in simplest form?
Answers
Answer:
5:15 or 1:3
Step-by-step explanation:
Answer:
1 : 3
Step-by-step explanation:
Number of bananas = 5
Total fruits = 15 (3 + 5 + 7)
Ratio = 5 : 15
Simplified form = 1 : 3
Hepplpppppppppppppppoplllpllppppppp
Answers
Answer:
X = 53°
y = 143°
Step-by-step explanation:
Hope it helps!!!!!!