Answer:
a. 1/8
b. 1/4
c. She ate 2 out of the 8 pieces if you divide both by 2 you get 1 and 4 to make it the fraction 1/4
Step-by-step explanation:
The lifetime of a certain brand of battery is normally distributed with a mean value of 9 hr and a standard deviation of 0.8 hr when it is used in a particular DVD player. Suppose that two new batteries are independently selected and put into the player. The player stops functioning as soon as one of the batteries fails. (Round your answers to four decimal places.)
Required:
a. What is the probability that the player functions for at least 8 hr?
b. What is the probability that the cassette player works for at most 11 hr?
c. Find a number z* such that only 10% of all cassette players will function without battery replacement for more than z* hr.
Answer:
a. 0.8944 = 89.44% probability that the player functions for at least 8 hr
b. 0.9938 = 99.38% probability that the cassette player works for at most 11 hr
c. z* = 10.024 hr
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.
Mean value of 9 hr and a standard deviation of 0.8 hr
This means that [tex]\mu = 9, \sigma = 0.8[/tex]
a. What is the probability that the player functions for at least 8 hr?
This is 1 subtracted by the pvalue of Z when X = 8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8 - 9}{0.8}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
1 - 0.1056 = 0.8944
0.8944 = 89.44% probability that the player functions for at least 8 hr.
b. What is the probability that the cassette player works for at most 11 hr?
This is the pvalue of Z when X = 11. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{11 - 9}{0.8}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
0.9938 = 99.38% probability that the cassette player works for at most 11 hr.
c. Find a number z* such that only 10% of all cassette players will function without battery replacement for more than z* hr.
This is the 90th percentile, which is X when Z has a pvalue of 0.9, that is, X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 9}{0.8}[/tex]
[tex]X - 9 = 1.28*0.8[/tex]
[tex]X = 10.024[/tex]
So
z* = 10.024 hr
An animal park had lions tigers and zebras.20% of the animals are lions and half the animals are zebras. If there are 120 animals at the park how many lions are there
Answer:
Divide 120 by 100 (Because 120 is 100% of the animals). You get 1.2. Multiply 20% by 1.2 and get 24.
Step-by-step explanation:
If helpful, please mark as brainliest! =)
Which function has a greater rate of change?
Answer:y-2x+5
Step-by-step explanation: I think
Pleaae helppppppppppp
In ATUV, the measure of V=90°, the measure of ZT=55, and VT = 56 feet. Find the
length of TU to the nearest tenth of a foot.
Answer: 97.6 feet
Step-by-step explanation:
which value is greater for the people who go to the gym in the daytime than for the people who go in the evening?
Answer:
It's maximum age I took the test and that's what I put it says it was right.
Step-by-step explanation:
O15.00
Flag question
During the annual Black Friday Sale,
The OLX sold a pair of ski boots,
regularly priced at $245.00, at a
discount of 40%. The boots cost
$96.00 and expenses are 26% of the
regular selling price. For how much
were the ski boots sold?
Answer:
$98.00
Step-by-step explanation:
$245.00×.40 = $98.00
the ski boots are sold for $98.00
14 x ^3 y ^5 z ^2 - 98 x^2 yz ^2 + 28 x^2 y^3. Show your work
Simplify (7ty)(3t)
(answer fast please)
Answer:
I think they are correct
Select ALL equations for which the solution is 8.
Help in doing my brother work!!
Answer:
a,b,d
Step-by-step explanation:
A. 8+9=17
B. 8+3=11
C. 8-9=1
Solve these multi step equations. Show your work. Justify each of your steps. 3x+4+6x=12-41+6x
Answer:
x=11
Step-by-step explanation:
Combine like terms:
3x +4 +6x =12- 41+ 6x
9x +4 =12 -41 + 6x
Subtract the numbers:
9x+ 4= 12- 41+ 6x
9x + 4= -29 +6x
Rearrange terms:
9x+4=-29+6x
9x+4=6x-29
x=11
Which city did Miss Hill move to with her new husband?
Group of answer choices
Georgia
New York
Chicago
Orlando
An equation is given.
Solve the equation for r.
Use the graph to answer the question.
Which equation describes the circle?
O (x-4)2 + (y + 1)2 = = 25
O (x – 4)2 + (y + 1)2 = 5
O (x + 4)2 + (y- – 1)2 = 25
O (x + 4)2 + (y – 1)2 = 5
Answer:
Its A.
Step-by-step explanation:
Edge 2021
This question is based on the equation of circle. Therefore, the equation of circle is (x - 4)² + (y + 7)² = 81 describes a circle with center (4, -7) and radius 9.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
Given:
A circle with center (4, -7) and radius 9.
We need to determined the equation describes a circle with center (4, -7) and radius 9.
According to the question,
As we know that, the equation of a circle in standard form is
⇒ (x - h)² + (y - k)² = r²
Where (h, k) are the coordinates of the center and r is the radius.
Here, it is given that, (h, k) = (4, - 7) and r = 9.
Therefore, by putting the given values.
We get,
⇒ (x - 4)² + (y - (- 7))² = 9², that is
⇒ (x - 4)² + (y + 7)² = 81 ← equation of circle
Therefore, the equation of circle is (x - 4)² + (y + 7)² = 81 describes a circle with center (4, -7) and radius 9.
For more details, circle prefer this link:
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HELP ASSIGNMENT MATH THERE ARE 5 PICTURES PLEASE HELP!! IF YOU KNOW ONLY ONE JUST COMMENT IF YOU KNOW ALL OF THEM ANSWER MY QUESTION
Answer:
go get a 19 dollor fortnite card
Step-by-step explanation:
HELPPP PLZZZ :/
Consider constructing a triangle, on paper, with angle measures of 120° and 30°.
Select from the drop-down menu to correctly classify the triangle.
A triangle with angle measures of 120° and 30°
A.obtuse
B.right
c.acute
Answer:
It should be obtuse or isosceles but theres no answer for isosceles so put obtuse
Answer:
The measures of the angles are 120°,30°, the triangle is an isosceles triangle. but there isnt an choice for isosceles so obtuse. brainliest pls
Step-by-step explanation: Obtuse the answer
467.4 + 0.492 =
PLS HELP
Answer:
467.892
Step-by-step explanation:
467.4+0.492 =467.892
467.892
hope it helps you.
$6,700 $7,450 $8,000 $7,600
$7,450
$8,200
$7,210
What is the mode?
Answer:$7,450
Step-by-step explanation:
HELPPPPP ME AND ILL GIVE YOU BRAINLIEST
Answer:
s= 60
-------------
Hope this helps
HELP...ASAP...GIVEING 50 POINTS FOR THIS HELP PLLLLLLZZZZZZZZz
Answer:
HI JORDEN!!!
Step-by-step explanation:
3(6) + 4(2) - 5
What is the answer
Answer:
21
Step-by-step explanation:
3(6) +4(2) - 5
18 + 8 - 5
26 - 5
= 21
A box contains 30 marbles, of which 8 are
black, 10 are green, and 12 are yellow. If two
marbles are drawn at random, what is the
probability that both the marbles will NOT be
green?
Answer:
4/9
Step-by-step explanation:
'ng' = not green
P(ng,ng) = 2/3 x 2/3 = 4/9
Can someone help me please I put the picture
Answer:
the answer is A or F (both are the same answer which is 40)
Choose all the graphs that are best for displaying numerical data.
histogram
circle graph
box-and-whisker plot
bar graph
stem-and-leaf plot
scatter plot
line graph
Please help me
Answer:
I just did this
histogram
stem-and-leaf plot
box-and-whisker plot
scatter plot
line graph
are all the "numerical" choices for recording data
Step-by-step explanation:
Bar and circle graphs compare things, or categories, while the rest involve numbers.
Triangle ABC is shown below with its given side length measurements.
Which lists the angles of the triangle in order from largest angle to smallest
angle? *
10x-3y+2x written in fewer terms
Answer:
12x-3y
Step-by-step explanation:
combine like terms: the 10x and the 2x can be combined making it 12x and then you keep the -3y making it 12x-3y
Answer:
12x - 3y
Step-by-step explanation:
All you have to do for this question is combine like terms. It isn't wanting you to solve for anything, so it's pretty fast to do. Since the 2 and 10 both have x values next to them, you can combine them. They are both positive, so you can simply add them together. This gives you 12x. Because the -3 and 12 have different values next to them, you cannot combine them. So you are left with 12x - 3y. This is your answer.
I hope this makes sense and is easy to understand. Please let me know if you need any more help. Have a great day and good luck!!
Can somebody help me with this I’ll mark you!?
Answer:
Carol makes 6 more points then Abby.
Step-by-step explanation:
Since Abby made 2 three pointers, that means that she made 6 points in total (2x3). And since Carol made 4 three pointers, it means that she made 12 points in total (4x3). To find how many more points Carol made then Abby, you have to subtract the amount of points that Abby made from the amount of points that Carol made. Doing this, you will see that Carol made 6 more points then Abby.
Please like and mark brainliest!
Hope it helps!
Answer:
2
Step-by-step explanation:
I thinks its 2 only becuase it say "how many more" and that means subtraction and if you subtract 2 from 4 you get 2
I think please dont lisen to me if you only have 1 chance to answer the question1. Savannah has 5 dogs and she feeds each of them 6 oz of dog food every day. How many
pounds of dog food do they eat each day?
Answer:
0.375 lb
Step-by-step explanation:
For this one all you need to do is convert 6 oz to pounds and to do this
For example to convert an ounce measurement to a pound measurement, use a simple formula. Since one ounce is equal to 1/16 of a pound, the formula for the conversion is:
pounds = ounces ÷ 16
1. Take measurement
2. Divided ounces by 5
3. Round the result to desired decimal places.
And don't just put this answer because I am not very sure.
1.875 pounds of dog food can be eaten by 5 dogs per day.
Pound and ounce based problem:What information do we have?
Number of dogs = 5
Each dog eats per day = 6 oz
Total dog food eaten per day = Number of dogs × Each dog eats per day
Total dog food eaten per day = 5 × 6
Total dog food eaten per day = 30 oz
1 pound = 16 oz
So,
Total dog food eaten per day = 30oz / 16oz
Total dog food eaten per day = 1.875 pound
Find out more information about 'Pound'.
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In a sole proprietorship,______________ receive all of the profits. A banks B. owners C. partners D. investors Please select the best answer from the choices provided O:A O:B О:С O:D
Answer:
B. owners
Step-by-step explanation:
Sole proprietorship can be defined as a type of business that is typically owned by an individual or one person and as such is solely responsible for its debts.
In a sole proprietorship, owners receive all of the profits because they own the business and do not share with any partner.
Basically, a sole proprietorship business is a type of business that is owned by a single person and as such their profits are taxed once as personal income tax.
Answer:
B
Step-by-step explanation:
I got it right on edge
You drank 50 L of water on Tuesday but only 30 L of water on Wednesday. What is the percent of change
Answer:
40% decrease
50=100
30/50=x/100
30=60% of 50
40% decrease of 50 is 30
Step-by-step explanation:
please mark as brainiest
please give 5 stars
thank you