Answer:
Cavalieri's principle tells us that if 2 figures have the same height and the same cross-sectional area at every point along that height, they have the same volume.
what shape can be formed from the following net
Answer:
square pyramid
Step-by-step explanation:
Answer:
star
Step-by-step explanation:
Challenger elementary school has 800 students every Wednesday 12% of the students stay after school for the chess club. How many students attend the chess club on wednesdays?
Answer:
96 people
Step-by-step explanation:
i used a calculator
The results of a national survey showed that on average, adults sleep 6.3 hours per night. Suppose that the standard deviation is 1.6 hours. (a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours. % (b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours. % (c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day. % How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)
Answer:
a) 75%.
b) 84%
c) Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem:
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean: 6.3 hours
Standard deviation: 1.6 hours
(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.
3.1 = 6.3 - 2*1.6
9.5 = 6.3 + 2*1.6
Within 2 standard deviations, so the minimum percentage is 75%.
(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.
How many standard deviations from the mean?
One standard deviation is 1.6
These measures are 10.3 = 6.3 = 6.3 - 2.3 = 4. This is k standard deviations, in which
[tex]k = \frac{4}{1.6} = 2.5[/tex]
The minimum percentage is:
[tex]100(1 - \frac{1}{k^{2}}) - 100(1 - \frac{1}{2.5^{2}}) = 84%[/tex]
So 84%.
(c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day.
Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.
If the area of a circle is 50.25 meters what is the radius
Answer:
≈3.99938
Step-by-step explanation:
A bakery sold 210 vanilla cupcakes in a day, which was 42% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
PLEASE DONT SAY RANDOM ANSWERS ILL GIVE 15 POINTS
Answer:
88.2 is your answer.
Answer:500
Step-by-step explanation:on delta math
reasons why students fail exams
25 POINTS
Solve this equation PLEASE AND STEPS
4=1/2(2x+4+x)(x-2)
Answer:
x=−2, 2.6666
Step-by-step explanation:
Let's solve your equation step-by-step.
4=(1/2(2x+4+x))(x−2)
Step 1: Simplify both sides of the equation.
4=3/2 x2−x−4
Step 2: Subtract 3/2x^2-x-4 from both sides.
4−(3/2 x2−x−4)=
3/2 x2−x−4−(3/2 x2−x−4)
−3/2 x2 +x+8=0
For this equation: a=-1.5, b=1, c=8
−1.5x2+1x+8=0
Step 3: Use quadratic formula with a=-1.5, b=1, c=8.
x=−b±√b2−4ac
2a
x=−(1)±√(1)2−4(−1.5)(8)
2(−1.5)
x=−1±√49
−3
x=−2,2.66666666666666666666666666666
1
Which graph corresponds to the table of values?
х
2
4
5
у
-2
2
4
А
С
B
D
Answer:
c
Step-by-step explanation:
Please help!!! Find the side length of a
Answer:
B
Step-by-step explanation:
√c^2-b^2
√15^2-9^2
√225-81
√144
= 12
B
1. According to New Jersey Transit, the 8:00 a.m. weekday train from Princeton to New York
City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is
true. Suppose 6 days are chosen at random. Let X = the number of days on which the train
arrives on time.
(B) Find the mean of X. Interpret this value in context. SHOW YOUR WORK.
The side lengths of four triangles are listed below. Determine whether each triangle is a right triangle Choose Yes or No for each set of side lengths.
a. 4,5,6 Yes No
b. 5, 12, 13 Yes No
C. 8, 15, 17 Yes No
d. 10, 15, 20 Yes No
Answer:
yes, yes, no, no
Step-by-step explanation:
Which scatterplot demonstrates the strongest relationship between two quantitative variables?
A graph has x on the x-axis, and y on the y-axis. Points are scattered throughout the graph.
A graph has x on the x-axis, and y on the y-axis. Points curve up and then down in a line.
A graph has x on the x-axis, and y on the y-axis. Points increase loosely together.
A graph has x on the x-axis, and y on the y-axis. Points decrease loosely together.
The scatterplot demonstrates the strongest relationship is, a graph has x on the x-axis, and y on the y-axis. Points increase loosely together.
What is Correlation coefficient of scatterplot?The correlation coefficient of scatterplot is used to demonstrate the relationship between variables.
When two variables increases together, they are said to have positive correlation.
When one is increasing and another is decreasing, they are said to have negative correlation.
When most of data points form a straight line or lies close to the straight line, it indicates strong linear correlation.
From the given options;
Option A, zero correlation
Option B, less than 1
Option C, 1 or greater than 1
Option D, -1 or less than 1
Thus, the scatterplot demonstrates the strongest relationship between two quantitative variables is option C, "a graph has x on the x-axis, and y on the y-axis. Points increase loosely together".
Learn more about scatterplot here: brainly.com/question/6592115
#SPJ2
A square painting has a side length of 13 inches.
What is the area of the painting?
The area of the painting is
square inches.
Answer:
Step-⚫️_by-step explanation:
Whats the answer to these? (These are called Proper fractions.)
Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?
Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?
Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?
Answer:
1: 7/10
2: 3/10
3: 4/8 (2/4 or 1/2 if you need to simplify it)
Step-by-step explanation:
1: Convert 2/5 to tenths by multiplying the denominator and numerator by two. 3/10 plus 4/10 is 7/10
2: Convert 4/5 and 1/2 to tenths.
4/5 is going to be 8/10, 1/2 is going to be 5/10.
Subtract 5/10 from 8/10 to get 3/10
3: Convert 1/4 to eighths to get 2/8. Then add 2/8 and 2/8 to get 4/8.
Find the length of arc AD. Use 3.14 for .
Round to the nearest tenth.
7.9 cm
B
66.4
C
[ ? ]cm
Enter
Answer:
Length of arc AD = 15.7 cm
Step-by-step explanation:
Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here, θ = Central angle subtended by the arc
r = radius of the circle
From the picture attached,
Central angle subtended by arc AD = 360° - (180° + 66.4°)
= 113.6°
Length of arc AD = [tex]\frac{(113.6)}{360}(2\pi )(7.9)[/tex]
= [tex]\frac{113.6}{360}(2)(3.14)(7.9)[/tex]
= 15.655 cm
≈ 15.7 cm
Length of arc AD = 15.7 cm
Answer:
12.4
Step-by-step explanation:
Just did it.
Use the distributive property to write an equivalent expression. (6+8)⋅x *
Answer: 14*x
Step-by-step explanation: I am 99% sure
How many arrangements are there of 12 distinct items?
Answer:
There are 479,001,600 arrangments of 12 distinct items.
Step-by-step explanation:
Arrangements of n items:
The number of possible arrangements of n itens is given by the factorial of n, that is:
[tex]A_{n} = n![/tex]
12 items:
[tex]A_{12} = 12! = 479001600[/tex]
There are 479,001,600 arrangments of 12 distinct items.
... Helppppp!! will mark brainiest
Answer: The answer is C
Step-by-step explanation:
C is the answer because the base is +2 and the coefficent is 1/2 which is rise over run so you go up one space and to the right two spaces.
Please help me with mathematics.
Answer:
1.A+B=2y²+3x-x²+3x²-y²=y²+3x+2x²
2.A-B=2y²+3x-x²-3x²+y²=3y²+3x-4x²
3.B+C=3x²-y²+5x²-3xy=8x²-3xy-y²
4.B-C=3x²-y²-5x²+3xy=3xy-2x²-y²
5.A+B+C=2y²+3x-x²+3x²-y²+5x²-3xy
=y²+3x+2x²+5x²-3xy=y²+3x-3xy+7x²
6.A+B-C=y²+3x+2x²-5x²+3xy=y²+3x+3xy-3x²
Parents of children with developmental disorders can apply for federal funding, to help pay for psychosocial rehabilitation. A sociologist working for the annual Current Population Survey wants to know the percentage of applicants for this funding who are in poverty. She needs a sample of applicants from across the U.S., so she groups all of the applications by state and randomly selects applicants from each state. What sampling scheme did she use
Answer:
Stratified sampling
Step-by-step explanation:
key word "groups"
The sampling scheme did she used is stratified sampling.
What is stratified sampling?It is a method of sampling where the division of the population should be split into the smaller subgroup called a strata. The strata should be created depending upon on the members shared like the income etc. Here the sample should be needed for applicants for across the US also it randomly selects the applicants for each state.
So, The sampling scheme did she used is stratified sampling.
Learn more about a sample here: https://brainly.com/question/24526520
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
yes
Step-by-step explanation:
2 + 16(1) = 18
2+16 = 18
2(2) + 11(1) = 15
4+11=15
what is the answer to 5,082 / 5 =
Answer
If you mean 5082 ÷ 5 than the answer is 1016.4
Step-by-step explanation:
Hope it helps!
Given the following 4 numbers write a program that will determine which number is the smallest out of the 4.
Number 1 = 5, number 2 = 25, number 3 = 2, number 4 = 56
Answer:
2
Step-by-step explanation:
It's the smallest one.
How do I solve 1 1/3 × 2 2/4 in steps?
Answer:
3 1/3
Step-by-Step
first step is too make a an improper fraction, 1 1/3 equals 4/3 and 2 2/4 equals 10/4. next your gonna multiply 4/3 and 10/4, 4x10=40,3x4 equals 12, so it would be 40/12. but its improper, we need to reduce it. the lowest number that can go in both numbers is 4. 40 divided by 4 =10. 12 divided by 4=3. 12/3= 3 1/3
Answer:
10/3
Step-by-step explanation:
That's 1 1/3 times 2 1/2.
Converting these into improper fractions, we get 4/3 times 5/2.
Multiplying (4/3) by (5/2), we get 20/6, or, after reduction, 10/3
7. Find the inverse of f(x) = -2x + 10. Please show work.
Answer- y = - x/2 + 5
Step by step - Replace f (x) with y.
Y = - 2x + 10
Interchange the variables.
x= -2y + 10
Solve for y.
Y= x/2 +5
Factorise
1) 9a^2 - 6a
Answer:
[tex]3a(3a - 2)[/tex]
Step-by-step explanation:
[tex]3(3a ^{2} - 2a) \\a(3a - 2) [/tex]
1 inch x 3/4 inch x 1/2 inch
Answer:
3/8
Step-by-step explanation:
Francisco took $20.00 to the mall. He found a DVD he wanted on sale for 18.50. The sales tax rate in his state is 8%. DOe he have enough money to buy the DVD, including tax?
A. No he need an addional $1.48
B. Yes, and he has $0.02 left over.
C. No, he need an additional $13.30.
D. Yes, and he has $1.50 left over.
How many digits will be in the quotient?
39) 4,641
1 digit
3 digits
2 digits
4 digits
Please I need help it’s an emergency
Answer:
the answer is 36
Step-by-step explanation:
beacuse if we use the pythagorean theorem for 9 and 12 we get 15 which means that the perimeter is P=9+15+12=36