Answers
Answer:
557.8
Step-by-step explanation:
Because the semi circle on the top and the semi circle on the bottom form a circle with an area of 314.16.
The semicirlces on either side form a circle with an area of 66.48.
Then the rectangle in the middle has an area of 9 times 20 which is 180.
If you add those areas together you get the total area which is about 557.8
I hope this is helpful :)
Related Questions
Need help for 2 and 3 fast
Answers
Answer:
[tex]2^{-4}[/tex] = 1/16
[tex]6^{-5}[/tex] × [tex]6^{5}[/tex] = 1
Step-by-step explanation:
[tex]2^{-4}[/tex] = 0.0625
0.0625 = 1/16
[tex]6^{-5}[/tex] × [tex]6^{5}[/tex] = 1
The lifetime of battery of a device (in one charge) is normally distributed with mean µ = 18 hours and standard deviation σ = 2 hours. (a) What is the probability that a battery will last more than 20 hours? (b) Find the 10th percentile of the lifetimes. (c) A particular battery lasts 16 hours. What percentile is its lifetime on? (d) What is the probability that the lifetime of a battery is between 17.5 and 18.5? (e) Ten batteries are chosen at random, what is the probability that the mean lifetime is between 17.5 and 18.5?
Answers
Answer:
a) 0.1587 = 15.87% probability that a battery will last more than 20 hours.
b) 15.44 hours.
c) Approximately the 16th percentile.
d) 0.1974 = 19.74% probability that the lifetime of a battery is between 17.5 and 18.5.
e) 0.5704 = 57.04% probability that the mean lifetime is between 17.5 and 18.5
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question, we have that:
[tex]\mu = 18, \sigma = 2[/tex]
(a) What is the probability that a battery will last more than 20 hours?
This is 1 subtracted by the pvalue of Z when X = 20. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20 - 18}{2}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
1 - 0.8413 = 0.1587
0.1587 = 15.87% probability that a battery will last more than 20 hours.
(b) Find the 10th percentile of the lifetimes.
This is X when Z has a pvalue of 0.1. So X when Z = -1.28
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 18}{2}[/tex]
[tex]X - 18 = -1.28*2[/tex]
[tex]X = 15.44[/tex]
So 15.44 hours.
(c) A particular battery lasts 16 hours. What percentile is its lifetime on?
We have to find the pvalue of Z when X = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 18}{2}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
Approximately the 16th percentile.
(d) What is the probability that the lifetime of a battery is between 17.5 and 18.5?
This is the pvalue of Z when X = 18.5 subtracted by the pvalue of Z when X = 17.5. So
X = 18.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{18.5 - 18}{2}[/tex]
[tex]Z = 0.25[/tex]
[tex]Z = 0.25[/tex] has a pvalue of 0.5987
X = 17.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17.5 - 18}{2}[/tex]
[tex]Z = -0.25[/tex]
[tex]Z = -0.25[/tex] has a pvalue of 0.4013
0.5987 - 0.4013 = 0.1974
0.1974 = 19.74% probability that the lifetime of a battery is between 17.5 and 18.5.
(e) Ten batteries are chosen at random, what is the probability that the mean lifetime is between 17.5 and 18.5?
Sample of 10 means that, by the Central Limit Theorem, [tex]n = 10, s = \frac{2}{\sqrt{10}} = 0.6325[/tex]
X = 18.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{18.5 - 18}{0.6325}[/tex]
[tex]Z = 0.79[/tex]
[tex]Z = 0.79[/tex] has a pvalue of 0.7852
X = 17.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{17.5 - 18}{0.6325}[/tex]
[tex]Z = -0.79[/tex]
[tex]Z = -0.79[/tex] has a pvalue of 0.2148
0.7852 - 0.2148 = 0.5704
0.5704 = 57.04% probability that the mean lifetime is between 17.5 and 18.5
ill mark brainlist plss help
Answers
Answer:
it's the3rd one
Step-by-step explanation:
it's is 182 feet
If f(x)=(x+1)(x-2)(x-3) represents a student's displacement from school in
kilometers, where x is measured in minutes, which of the following is an
accurate interpretation of the student's trip?
a) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, continues walking to the playground, turns around, walks
back to the school and arrives after 3 minutes.
b) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, waits there for 1 minute, then returns home.
c) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, turns back to their house to the playground, turns around,
walks back to the school and arrives after 3 minutes.
d) The student starts 6 km from school, walks to school and arrives 1 minute
later, sits by the school, returns home, arrives after 2 minutes, and then turns
around and arrives back at school for a second time at 3 minutes.
e) None of the above are correct
It
Answers
Displacement means the distance traveled on a straight line to get to a certain destination. The interpretation of the given equation is option (a):
Given that:
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
First, we calculate how far the student traveled to arrive at the school.
This means that we calculate f(0).
So, we have:
[tex]f(0) = (0 + 1)(0 - 2)(0 - 3)[/tex]
[tex]f(0) = ( 1)( - 2)( - 3)[/tex]
[tex]f(0) = 6[/tex]
The student walked 6km to school
When x = 2, it means:
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
[tex]f(2) = (2 + 1)(2-2)(2 -3) = 0[/tex]
This means that the student got to school after 2 minutes
When x = 3, it means
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
[tex]f(3) = (3 + 1)(3-2)(3 -3) = 0[/tex]
This means that the student walked away, turned back and got to school after 3 minutes.
From the given options, option (a) fits the above description.
Read more about speed, displacement and time at:
https://brainly.com/question/862972
A body starts from rest and
accelerates uniform at 5 ms2.
calculate the time taken
by the body to cover a
distance of
1km
Answers
PLEASE HELP I WILL GIVE BRAINLY
During the 6th grade dance, the ratio of the number of girls to the number of boys was 6:1. Create a ratio table of the number of girls to the number of boys that attended the dance. Show how many girls were there if 9 boys were counted.
Answers
Answer:
9:6
Step-by-step explanation:
54:9
ratio is g:b
6: 1
12:2
18: 3
24:4
30:5
36:6
42:7
48:8
56:9
Find the volume.please :>
Answers
Answer:
The volume of the cube is 77 inches.
Reggie is making a double layer cake the recipe for the first layer calls for 2 1/4 cups sugar. the recipe for the second layer calls for 1 1/4 cups of sugar. Reggie has 5 cups of sugar. How much will he have left after making both recipes?
Answers
Answer:
Step-by-step explanation:
Meg, add the fractions
2_1/4 + 1_1/4
or 2 + 1 + _1/4 + _1/4
3 + _2/4
3 + _1/2
3_1/2
then what's left is
5 - 3_1/3 = 1_1/2
got it?
Can someone help me please
Answers
Answer:s The first top left corner for "which graph matches the equation y=-x+3":]
Step-by-step explanation:
PLS HELP I ONLY NEED PART B
Kari and Julie are practicing for basketball tryouts. Kari makes 3 less than twice as many baskets as Julie.
Part A Write an expression with two terms for the number of baskets that Kari makes. Explain how you found your expression.
Part B Write an expression with three terms for the number of baskets that Kari and Julie make in all. Explain how you found your expression.
Answers
Answer:
X= 2y - 3
Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3
Julie makes y tryouts and twice would be 2y.
Step-by-step explanation: hope this helps!!! :)
Answer:
X= 2y - 3
Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3
Julie makes y tryouts and twice would be 2y.
Step-by-step explanation:
I’ll give as many points as possible please help
xy^2 (x^2y^3+5xy-4)
Answers
Answer:
x^3y^5 + 5x^2y^3 - 4xy^2
Step-by-step explanation:
xy^2 (x^2y^3+5xy-4)
xy^2x^2y^3 + xy^2 x 5xy - 4xy^2
xy^2x^2y^3 = yx^2y^5
xy^2 x 5xy = 5x^2y^3
x^3y^5 + 5x^2y^3 - 4xy^2
Is that what you want? Let me know.
Type in a value that represents as likely as not in a decimal form.
Answers
Answer:
I Need Numbers Somthing....... Its Imposable to answer this
Step-by-step explanation:
Find the sum of the first six terms of the Geometric Progression (G.P.):
2
1, 2, 4, ....
Answers
Step-by-step explanation:
Heueueirjrjkwugoystsitso5wpysoydlusktzlhskgdlysyldj
write 18 1/4 as a decimal
Answers
Answer: 18.25
Step-by-step explanation: Lets start off with this: 1/4 is the same as 25 (like if you use quarters, you know 4 quarters makes a dollar, and one quarter is 25)
So, since we have 18 and 25, converting it to a decimal is easy. Put the numbers together (18 and 25) Then just add decimal in the middle.
OR
18 x 4 (which is 72) then add 72 to the numerator (1) which will give you 73 (72 + 1) Finally, divide 73 by 4, (4 is denominator) which will then give you 18.25 :D
The mixed number [tex]18\frac{1}{4}[/tex] written as a decimal is 18.25.
To write [tex]18\frac{1}{4}[/tex] as a decimal, we can convert the mixed number into an improper fraction and then divide the numerator by the denominator.
The mixed number to an improper fraction.
[tex]18\frac{1}{4}[/tex] = (18 × 4 + 1)/4
= 73/4
Divide the numerator by the denominator.
73 ÷ 4
= 18.25
Therefore, [tex]18\frac{1}{4}[/tex] written as a decimal is 18.25.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ6
Is 2 a solution of 4z + 12 = 4? Complete the statement.
Answers
Answer:
No im pretty sure its not a solution.
Step-by-step explanation:
See if “z” is 2 than the answer to the solution would be 20
Answer:
The solution is -2
Step-by-step explanation:
4z + 12 = 4
Subtract 12 on each side (4z + 12 - 12 = 4 - 12)
4z = -8
Divide 4 on each side (4z / 4 = -8 / 4)
z = -2
Need help fast please
Answers
8 divide by 2 is 4
subtract the exponents
so 4w^7
second one
(-5)^3(-5)
=-125(-5)
=+625
Didn’t include steps because you need help fast but if you want them let me know I will put it in a comment
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out a purple tile? (5 points)
fraction 6 over 50
fraction 44 over 50
fraction 6 over 44
fraction 18 over 44
Answers
Answer:
Step-by-step explanation:
i am not sure do they give you a number of tiles
Answer:
A: 6/50
Step-by-step explanation:
i think
Need help with this question
Answers
Answer:
4 : 3
Step-by-step explanation:
QRS to VUT
[tex]\frac{QR}{RS} =\frac{VU}{UT} \\\\\frac{8}{12} =\frac{6}{x} \\\\8x=72\\x=9[/tex]
[tex]\frac{RS}{UT} =\frac{12}{9} =\frac{4}{3}[/tex]
Answer:
Step-by-step explanation:
△QRS:△VUT = 8:6 = 4:3
6. How many of the integers between 20 and 40 are
odd?
b)11
d)12
c12
Answers
Answer: 10
Step-by-step explanation:
List out the numbers:
20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40
There are 10 odd numbers
Otherwise a faster method:
Odd numbers occur every other number
There are 40 - 20 = 20 numbers between 20 and 40
20/2 = 10
10 odd numbers
Given the functions f(x) = 10^x - 5 and g(x) = 2^X + 20. Graph the functions to determine which value of x is closest to where g(x) begins to exceed f(x).
A) x = 4
B) x=5
C) x=6
D) x=7
"^" means exponent
Its on usatestprep
Answers
Answer:
b cuz yea its correc
Step-by-step explanation:
its b just b I know
Answer:
B he is correct
Step-by-step explanation:
irections: Find the area of each figure round to the nearest tenth where necessary.
2
Answers
Answer:
21 x 33 = 693
16 x 7 divided by 2 = 216
17.6 x 17.6 divided by 2 = 154.9
19 x 7.8 = 148.2
7 + 2 x 5.5 divided by 2 = 24.8
10 x 12 = 120
Please wait for more responses if needed!
HELP ASAP!!! THANK YOU!!!
Answers
Answer:
Additional information required is
<DBA = 90°
Step-by-step explanation:
<DBA + <DBC = 180° [Linear pair]
=> <DBA = 180° - <DBC
=> <DBA = 180 - 90
=> <DBA = 90
Hence, both the angles <DBA = <DBC = 90°
As we know that when a perpendicular bisector bisects a straight line both the angles should be,
180° ÷ 2 = 90°
And above conditions also prove that
<DBA = <DBC = 90°
Hence, DE is a perpendicular bisector of AC
find the area of this triangle. round to the nearest tenth.
Answers
Answer:
3,600
Step-by-step explanation:
Find surface area of the prism.
5 m
18 m
4 m
Answers
Answer: 27m
Step-by-step explanation:
How many thirds are in 12?
Answers
A complex shape with measurements 4 feet, 10 feet, 4 feet, 2 feet, 4 feet, 6 feet, 4 feet, 2 feet.
The perimeter of the shape is
feet.
Answers
Answer: Add each side to get perimeter so your total is 38ft
Step-by-step explanation:
Answer: 36
Step-by-step explanation:
Which expressions are equivalent to x + 2y + x + 2?
Choose all answers that apply:
A 2(x+y+1)
B 2x + 4y +4
C None of the above
Answers
Answer:
2x + 2y + 2
Step-by-step explanation:
A is right
Evaluate the expression for the given value of the variable 5 x (h + 3) for h = 7
Answers
at a pet store, 3/8 of the total animals were dogs. of those dogs 2/7 were labrador dogs. what fraction of the total pets were labrador dogs?
Answers
Answer: 3/28
Step-by-step explanation:
Here we go, whenever you see the word "of" this mean to multiply
2/7 x 3/8 = 3/28
Answer: 3/28 .
I hope this help...
a. 1 third of 3 over 4 = ____ fourth(s)?
Answers
Answer:
0.25
Step-by-step explanation:
1/3 of 3/4 means
(1/3) x 3/4
3/12
0.25