Answers
Answer:
I believe the answer is 3 3/4.
Step-by-step explanation:
the volume of a rectangular prism is length × width × height
Answer: The volume is 3 3/4 cubic inches.
Step-by-step explanation:
V= l*w*h
V= 1 1/4* 1 1/2*2
v= 3 3/4
Related Questions
The question is down below.
AB=
Answers
Answer:
Step-by-step explanation:
Sin(35) = opposite / hypotenuse
Sin(35) = 4 / hypotenuse Multiply both sides by the hypotenuse
hypotenuse * sin(35) = 4 Divide by Sin(35)
hypotenuse = 4/Sin(35)
Sin(35) = 0.5736
hypotenuse = 4/0.5736
hypotenuse = 6.9737
Rounded answer 6.97
Scores at a local high school on the American College Testing (ACT) college entrance exam follow the normal distribution with a mean of 18 and a standard deviation of 8. A guidance counselor takes a random sample of 20 students and calculates the mean score, x¯.
(a) Calculate the mean and standard deviation of the sampling distribution of x¯.
(b) Interpret the standard deviation from part (a).
(c) Find the probability that a sample of 20 students has a mean score of 19.5 or more.
Answers
Answer:
a) The mean is 18 and the standard deviation is 1.79.
b) The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.
c) 0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
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].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 18 and a standard deviation of 8.
This means that [tex]\mu = 18, \sigma = 8[/tex]
Sample of 20:
This means that [tex]n = 20, s = \frac{8}{\sqrt{20}} = 1.79[/tex]
(a) Calculate the mean and standard deviation of the sampling distribution of x¯.
By the Central Limit Theorem, the mean is 18 and the standard deviation is 1.79.
(b) Interpret the standard deviation from part (a).
The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.
(c) Find the probability that a sample of 20 students has a mean score of 19.5 or more.
This is 1 subtracted by the pvalue of Z when X = 19.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19.5 - 18}{1.79}[/tex]
[tex]Z = 0.84[/tex]
[tex]Z = 0.84[/tex] has a pvalue of 0.7995
1 - 0.7995 = 0.2005
0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.
Answer choices
18
25
30
40
Please help no links I will report
Answers
Because is 40% and is ok most 50%
Answer:
the 75 person is the 100 percent then 40 is x x=(40 ×100 )÷75x=53 then the nb of people preffar hotdogs ic 53Plzzzz answer fast..
Answers
Answer:
D) LM=12; QP=8
Step-by-step explanation:
12/18=(x-1)/(x+3)
cross multiply
12x+36=18x-18
36+18=18x-12x
54=6x
9=x
LM = x+3 = 9+3 = 12
QP = x-1 = 9-1 = 8
20 20 PTS ,.,.,.,.,.,,
Answers
Answer:
number 2 i think
Step-by-step explanation:
someone please help me answer this!
Answers
Answer:
c = 9.2m is the answer.
Step-by-step explanation:
a = 6m
b = 7m
c = ?
According to the Pythagoras theorem,
a² + b² = c²
6² + 7² = c²
36 + 49 = c²
c² = 85
c = 9.2m
∴ the distance between the school and the candy store is 9.2m
Find the sum of the first 20 terms of the sequence {4,10,16,22,...} step by step
Answers
Answer:
All terms separated by 6 so #20 = 4 + 6 * 19 = 118
(if the first term were 6 instead of 4 the 20th would be 120)
Also, #10 = 58 and #11 = 64 (you can use the same reasoning)
The 1st and 20th term add to 4 + 118 = 122
The 2nd and 19th add to 10 + 112 = 122
Likewise 10th and 11th add to 58 + 64 = 122
So 10 * 122 = 1220
Let f(x)=x^2-6 and g(x)=7x
Please help thank you
Answers
Since plugging in x makes the equations stay the same, just add f(x) and g(x)
x^2 - 6 + 7x
Solution: x^2 + 7x - 6
1 kilogram is equal to 1,000 grams. How many grams are in 4 kilograms, 35 grams?
Answers
Answer:
4035 grams
Step-by-step explanation:
Explanation: each kilogram = 1,000 grams
4 kilograms = 4,000 grams
What is the probability of the spinner NOT landing
on a vowel? *
1. 0.67
2. 1
3. 0.33
4. 4
5. 0
Answers
Answer:
it's a 2/3 chance of landing on it but there are 4 non vowels. so I assume the answer is 4
Write 0.015 in a standard form
Answers
Answer:
the answer is 1.5 x 10-2 that's what I got
2t + t =68
a. find t
b. fint 2t
Answers
Answer:
t = 22[tex]\frac{2}{3}[/tex]
2t = 45[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
3t = 68
t = 68/3
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answers
4 and 6
1 and 7
PLEASE HELP ME ........
Answers
Answer:
I can´t see...
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth.
Answers
Answer:
i think 120
Step-by-step explanation:
Step-by-step explanation:
by using Pythagoras theorem,
AB^2+BC^2=CA^2
9^2+12^2=x^2
81+144=285
answer=(285)^2=16.88
nearest tenth is 20
A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air pollution. If more than 313 voters respond positively, we will conclude that at least 60% of the voters favor the use of these fuels.
Required:
a. Find the probability of type I error if exactly 60% of the voters favor the use of these fuels.
b. What is the type II error probability β if 75% of the voters favor this action?
Answers
Answer:
[tex]\alpha=0.11767[/tex]
[tex]\beta=0[/tex]
Step-by-step explanation:
From the question we are told that:
Population size size [tex]N=500[/tex]
Sample mean [tex]n=313[/tex]
Null hypothesis [tex]H_0:P=0.6[/tex]
Alternative hypothesis[tex]H_a:P>0.6[/tex]
Generally the equation for for P value is mathematically given by
[tex]P=\frac{n}{N}[/tex]
[tex]P=\frac{313}{500}[/tex]
[tex]P=0.6[/tex]
Generally the mean [tex]\=x[/tex] is mathematically given by
[tex]\=x=np\\\=x=500*0.6[/tex][tex]\=x=300[/tex]
Generally the standard deviation [tex]\sigma[/tex] is mathematically given by
[tex]\sigma=\sqrt{npq}[/tex]
[tex]\sigma=\sqrt{500*0.6*(1-0.6)}[/tex]
[tex]\sigma=10.95[/tex]
a)
Generally the probability of Type_I error [tex]P(X>313)[/tex] is mathematically given as
[tex]P(X>313)=P(\frac{x-\mu}{\sigma}>\frac{313-300}{10.95} )[/tex]
[tex]P(X>313)=P(z>1.187 )[/tex]
Therefore using z table
[tex]\alpha=0.11767[/tex]
b)
Null hypothesis [tex]H_0:P=0.75[/tex]
Alternative hypothesis[tex]H_a:P>0.75[/tex]
Generally the probability of Type_II error [tex]P(X<313)[/tex] is mathematically given as
[tex]P=0.75,n=500\\q=1-0.75\\q=0.25[/tex]
Generally the mean [tex]\=x'[/tex] is mathematically given by
[tex]\=x'=500*0.75[/tex]
[tex]\=x'=500*0.75[/tex]
[tex]\=x'=375[/tex]
Generally the standard deviation [tex]\sigma[/tex] is mathematically given by
[tex]\sigma=\sqrt{npq}[/tex]
[tex]\sigma=\sqrt{500*0.75*(1-0.75)}[/tex]
[tex]\sigma=9.68[/tex]
Therefore
[tex]P(X<313)=P(\frac{x-\mu}{\sigma}<\frac{313-375}{9.68} )[/tex]
[tex]P(X<313)=P(z<-6.405)[/tex]
Therefore from standard normal table
[tex]P(X<313)=0[/tex]
[tex]\beta=0[/tex]
Type the correct answer in each box.
y у
&
X
1000
Z
1500
The three interior angle measures of this triangle are x=
y=
, and z=
Reset
Next
2021 Edmentum. All rights reserved.
Answers
Answer:
x = 30°
y = 70°
z = 80°
Step-by-step explanation:
[tex]x = 180 \degree - 150 \degree = 30 \degree \\ \\ z = 180 \degree - 100 \degree = 80 \degree \\ \\ y = 180 \degree - (30 \degree + 80 \degree ) \\ \\ y = 180 \degree -110 \degree \\ \\ y = 70 \degree[/tex]
The function g(x) = 20,000(1.20)* represents the population of a rapidly growing
city x years after the year 2000.
What does the value g(10) - g(9) represent in terms of the given context?
A. The population was 103,196 people in 2009
B. The population was 123,835 people in 2010
C. There was an increase of 20,639 people from 2009 to 2010.
D. There was an increase of 227,031 people from 2009 to 2010.
Answers
Brody created a map of his neighborhood using a scale of 2 inches = 3 blocks. If his street is 9 blocks long, how long will it be on the map?
Answers
Answer:
6 inches
Step-by-step explanation:
If 3 blocks equals 2 inches, then we must first find out how many times 3 can fit into 9. We do this by dividing 9 by 3 to get 3. To get your final answer just multiply 2 by 3 and you will get 6 inchs. I hope this helped :0
Which equation best describes the functional
relationship in the data set?
[(-3,-7), (0, -1), (2,3))
A y= -4x-5
B y= -2x- 1
C y= 2x - 1
D y= 3x + 2
Answers
Answer:
C
Step-by-step explanation:
y=2x-1 your welcome I need to put more characters so skdjdnnn
Answer:
Y=2x-1
Step-by-step explanation:
the three data sets all work for y=2x-1
-7=-6-1
-7=-7
or
-1=0-1
-1=-1
or
3=4-1
3=3
Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) • m(x) · n(x). a. Determine the degree of the function f(x).
Answers
Answer:
[tex]Degree = 3[/tex]
Step-by-step explanation:
Given
[tex]k(x) = x + 1[/tex]
[tex]m(x) = x - 4[/tex]
[tex]n(x) = x + 5[/tex]
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
Required
The degree of f(x)
First, calculate f(x)
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]
Expand
[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]
[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]
Further Expand
[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]
Collect like terms
[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]
[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]
The degree of f(x) is the highest power of x.
Hence:
[tex]Degree = 3[/tex]
Help me :( I will give you Brainlist if you get it right!
Answers
Answer:
I think C
Step-by-step explanation:
sorry if I'm wrong
D i answered this one on khan.
Bob and Venessa share $52. if Bob gets three times what Venessa gets, how much does he get?
Answers
Answer is 39
Venessa- x
Bob- 3x
3x+x=52
4x=52
x=13 (Venessa)
3x=3*13=39 $ (Bob)
32
Select the correct answer.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function. Lett
represent the time, in seconds, since the friends started seesawing.
t
0
1
2.
3
4
5
6.
ht)
24
48
24
0
24
48
24
If the friends start seesawing with the plank in a level position, how long does it take for the friend in the left seat to move upward, downward,
and then back to the initial position?
Answers
Answer:
I believe it would be 4 seconds
Step-by-step explanation:
PLATO/Edmentum
The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.
Let t represent the time, in seconds, since the friends started seesawing.
t 0 1 2 3 4 5 6h(t) 24 48 24 0 24 48 24The friends start seesawing with the plank in a level position. The initial position at 0 of them is at 24.
The group has to come back to this position after moving upward and downward. The time it takes to reach upward is,
[tex]f(48)=t_{up}\\f(48)=1[/tex]
The time it takes to reach downward after going upward is,
[tex]f(0)=t_{down}\\f(0)=3[/tex]
Coming back to initial potion,
[tex]f(24)=t_{i}\\f(24)=4[/tex]
Thus, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2
pls help im so confused find m
Answers
Answer:
i think it is 47
Step-by-step explanation:
Please help me and no links or sites! Please
Answers
Answer:
B
Step-by-step explanation:
By using the fraction strip, if you think about it:
Pretend to color in 5/6 on the yellow side, and do the same to the 1/12 part, instead pretend to shade in 5/12. If you see how much remaining you have, you get 5/12.
Solve for X. Assume that segments that appear to be tangent are tangent Round to the nearest tenth as necessary.
Answers
9514 1404 393
Answer:
11.1
Step-by-step explanation:
The tangent makes a right angle with the diameter at the point of tangency. So, the triangle is a right triangle, and the Pythagorean theorem can be used to find the length of x. The radius is shown as 7.1, so the diameter will be 14.2.
x^2 + 14.2^2 = 18^2
x^2 = 122.36
x = √122.36 ≈ 11.1
The length of the tangent is about 11.1 units.
Use the given graph to determine the limit, if it exists.
Answers
What is the center of the circle given by the equation
(x - 2)^2 + (y + 4)^2 = 6?
A. (-2,-4)
B. (2,-4)
C. (-2,4)
D. (2,4)
Answers
Answer:
B: (2,-4)
Step-by-step explanation:
x-2=0
x=2
y+4=0
y=-4
Blackcap birds (Sylvia atricapilla) migrate out of Germany before wintertime. Prior to the 1960s, all members of a particular blackcap population flew to Spain, which had an abundant natural food source. Now, some members of the same blackcap population fly to the United Kingdom, where food placed in feeders by humans is abundant. The blackcaps return to the same forests in Germany to nest during the breeding season.
Some blackcaps that migrate to the United Kingdom have become distinguishable by certain physical and behavioral traits from blackcaps that migrate to Spain. Which of the following best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter?
A- The blackcaps that migrate to Spain will selectively mate with the blackcaps that migrate to the United Kingdom, resulting in increased genetic variation in the blackcap population.
B- The blackcaps that migrate to the United Kingdom will become reproductively isolated from the blackcaps that migrate to Spain, resulting in speciation in the blackcap population.
C- The blackcaps in Spain and the United Kingdom will migrate to other geographical locations in search of potential mating partners, resulting in a smaller blackcap population in Germany.
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.
Answers
Answer:
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.
Step-by-step explanation:
By the inhabitants of Spain and the United Kingdom placing feeders out for the blackcaps, the birds in their nesting sites during the winter will have food to eat, meaning a bigger population of the Blackcaps when they return to their main home in Germany.
This best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter.