450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (GPA) was 2.96, and the standard deviation was 0.21. What is the margin of error, assuming a 70% confidence level, to the nearest hundredth
Answer:
The margin of error is of 0.01.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.
The margin of error is of:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation was 0.21.
This means that [tex]\sigma = 0.21[/tex]
Sample of 450:
This means that [tex]n = 450[/tex]
What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.037\frac{0.21}{\sqrt{450}}[/tex]
[tex]M = 0.01[/tex]
The margin of error is of 0.01.
Jeff and Eric roommates and enjoy talking about sports. They mainly discuss their favorite professional soccer teams. Jeff enjoys European soccer whereas Eric prefers American teams. Outside soccer they do not discuss much. Their lack of range of talking to it fall into which category?
0°
EXPLANATION:In each figure below find m∠1 and m∠2, if a||b. Show your work with statements.
====================================
If you have any questions feel free to ask me^^
Have a nice and great day!
Cayler#PilipinasAngBayanKo
0°
Sana Maka help ako tnx
show me an example of fibonacci sequence
Answer:
See Below
Step-by-step explanation:
The fibonacci sequence is a recursive type sequence where each term is the sum of the two previous terms. The sequence starts out as:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811...
The fibonacci sequence can be found in nature quite often. For example, it is found in "the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone's bract". It can also be found in the number of tree branches in each row.
Another cool place it can be found is in the diagonals of pascals triangle (shown in the image attached)
*Disclaimer: I do not own any of the images
PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEE HELPPPP PLEASEEEEE PLEASEEEEE SOEMONE HELPPPP PLEASEEEEEEEEEEEEEEEEEEEE
Answer:
8 nachos and 5 hot dogs
Step-by-step explanation:
Let x equal number of nachos
let y equal number of how dogs
1.5x + 2y = 22
x + y = 13
y = 13 - x
1.5x + 2(13 - x) = 22
1.5x + 26 - 2x = 22
1.5x - 2x = 22 - 26
-0.5x = - 4
x = -4/-0.5
x = 8
y = 13 - x
y = 13 - 8
y = 5
Mai is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random. This game is this: Mai rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $0.50 if a 4, 5, or 6 is rolled.
a) Find the expected value of playing the game.
b) What can Elsa expect in the long run, after playing the game many times?
1) Elsa can expect to gain money. She can expect to win___dollars per roll.
2) Elsa can expect to lose money She can expect to lose___dollars per roll.
3) Elsa can expect to break even (neither gain nor lose money).
Answer:
A. 0.75
B. Elsa can expect to gain 0.75 dollars
Step-by-step explanation:
We have six outcomes
Using the table in the attachment, the expected value was calculated.
Expected value = 0.166667+0.3333+0.5-0.083333-0.083333-0.083333
= 0.75
B. From the answer in part A , we can conclude that Elsa can expect to gain money. She can expect to win 0.75 dollars per roll.
chhering deposite rs. 40000 in a bank at the rate of 5% p.a. if he has to pay 5%of the total interest as tax for the bank how much will he get after 4 years
Answer: Rs 7600
Step-by-step explanation:
The interest will be calculated as:
= Principal × Rate × Time
= 40000 × 5% × 4
= 40000 × 0.05 × 4
= 8000
Since he has to pay 5% of the total interest as tax for the bank, the amount that he will he get after 4 years will be:
= 8000 - (5% × 8000)
= 8000 - (0.05 × 8000)
= 8000 - 400
= 7600
Therefore, he'll get Rs 7600
Find the equation (in terms of x ) of the line through the points (-3,4) and (1,-8)
Answer:
A(-3,4) B(1,-8)
y-y1/x-x1 =y2-y1/x2-x1
y-4/x--3 = -8-4/1--3
y-4/x+3 = -12/1+3
y-4/x+3 =-12/4
y-4/x+3 = -3
y-4 = -3(x+3)
y-4=-3x-9
y+3x +9-4=
y+3x+5=0
Answer:
y = -3x - 5
Step-by-step explanation:
-3, 4 and 1, -8
1 - -3 = 4
-8 - 4 = -12
[tex]\frac{-12}{4}[/tex] = [tex]\frac{-3}{1}[/tex] = -3
gradient/slope = -3
now substituting in the point -3, 4 to find the y intercept:
4= -3 x -3 + c
4 = 9 + c
-5 = c
y intercept = -5
equation is y = -3x - 5
What side has the same length as BC?
Answer:
DE
Step-by-step explanation:
You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.
I’m back again :( Please anybody help me
Welcome back....♡
Surface area = 2( 4 × 2 ) + ( 3 × 4 )
+ 2( 4 × 4 ) + 3( 10 × 4 )
+ 3( 4 × 7 )
Surface area = 16 + 12 + 32 + 120 + 84
Surface area = 264 in^2
Solve the proportion: 144/a = 9/4
a=?
Step-by-step explanation:
eieueskhdbdjsikskskskjswhwjw
I NEED HELP ASAP: Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer by filling in the boxes.
A' ( ___, ___ )
B' ( ___, ___ )
C' ( ___, ___ )
D' ( ___, ___ )
Answer:
A - 1,4
B -5,8
C -5,4
D -4,2
Step-by-step explanation:
im not shure how to explain
Answer:
A' ( -1, -4 )
B' (-5, -8 )
C' (-5, -4 )
D' ( -4, -2 )
Step-by-step explanation:
I took the test
Find an
angle in each quadrant with a common reference angle with 146°, from
o°=0<360°
Answer:
The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.
The equivalent angle on the third quadrant is 214º.
The equivalent angle on the fourth quadrant is 316º.
Step-by-step explanation:
On the first quadrant:
The equivalent in the second quadrant of a angle on the first quadrant a is 180 subtracted by the angle, that is, 180 - a.
In this question, the reference angle is 146º, which is on the second quadrant.
So, on the first quadrant:
146 = 180 - a -> a = 180 - 146 = 44.
The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.
Third quadrant:
The equivalent angle on the third quadrant is 2 multiplied by 180 and subtracted by the second quadrant angle. So
2*180 - 146 = 360 - 146 = 214º.
The equivalent angle on the third quadrant is 214º.
Fourth quadrant:
The equivalent angle on the fourth quadrant is 360 subtracted by the angle on the first quadrant. So
360 - 44 = 316º
The equivalent angle on the fourth quadrant is 316º.
a man 1.30 m tall is on a top of a building. he observed a car on the road at an angle of 60 degrees if the building is 30 m high,how far is the car from the building?
Given :
A man 1.30 m tall is on a top of a building. He observed a car on the road at an angle of 60 degrees if the building is 30 m high.
To Find :
How far is the car from the building.
Solution :
Let, distance between car and the building is x m.
So,
[tex]tan \ \theta = \dfrac{height\ of\ building + height\ of\ man}{distance \ between \ car \ and \ building}\\\\tan \ 60^o = \dfrac{30+1.3}{x}\\\\x = \dfrac{31.3}{1.73}\ m\\\\x = 18.09\ m[/tex]
Hence, this is the required solution.
A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 10% off. Is this equal to a 20% discount
Answer: It's not equal to 20% discount.
Step-by-step explanation:
Let's assume the cost of a good is $100. Since there's 10% off on every item, the cost of the good will be:
= $100 - (10% × $100)
= $100 - $10
= $90
Since the coupon states that one will receive an additional 10% off, therefore the amount that the person will pay will be:
= $90 - (10% × $90)
= $90 - (0.1 × $90)
= $90 - $9
= $81
If the same good is $100 and there's a 20% discount, the amount that'll be paid will be:
= $100 - (20% × $100)
= $100 - (0.2 × $100)
= $100 - $20
= $80
Therefore, it's not equal to 20% discount.
THIS IS WORTH 30 POINTS
1. Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis?
Answer:
your awnser would be [4, −6]
Step-by-step explanation:
hope this helps
Find the missing angle measurement.
Answer:
54°
Step-by-step explanation:
54°
Answer:
the missing angle is 54
Step-by-step explanation:
so first we need two triangle angles to get our measurement and we know straight lines add up to 180 so
180-123=57
57+69(other angle)=126
all triangle angles add up to 180 so subtract the two other angles to get your result
180-126=54
54 is your anwser
Please help due tomorrow
Answer:
Here's What you do:
Draw a line that comes straight through the middleIt has to create 4 - 90° angles (use a protractor to measure)There's a picture attached on how a perpendicular lines should look like.
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
PLEASE ANSWER ASAP!!! I WILL MAKE YOU BRAINLIST Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
15
Step-by-step explanation:
a^2 + b^2 = c^2
20^2 +b^2 = 25^2
400 + b^2 = 625
-400 -400
b^2 = 225
b = √225
b = 15
Write the fraction 2/3 as the sum of unit fraction
9514 1404 393
Answer:
1/2 + 1/6
Step-by-step explanation:
2/3 = 1/2 + 1/6
__
The sum of unit fractions is called an Egyptian Fraction. There are several different algorithms for finding such a sum. Here, we are starting with the form ...
2/p
where p is a small prime. Then the sum can be written as ...
1/((p+1)/2) +1/(p(p+1)/2) = 1/(4/2) +1/(3(4/2)) = 1/2 + 1/6
A different algorithm is used when p is a composite number.
__
Using the "greedy" algorithm, we can find the largest unit fraction less than 2/3 to be ...
1/ceil(3/2) = 1/2
Then the largest unit fraction in the remainder is similarly found. The remainder is ...
2/3 -1/2 = 1/6 . . . . already a unit fraction
So, the sum is ...
2/3 = 1/2 + 1/6
The distribution of student scores on the quantitative section of the SATs have an approximately normal distribution with a mean score of 501 points, and a standard deviation of 85 points. If you randomly select one student who has taken the SAT, what is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs
Answer:
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
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 score of 501 points, and a standard deviation of 85 points.
This means that [tex]\mu = 501, \sigma = 85[/tex]
What is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs?
This is 1 subtracted by the p-value of Z when X = 600. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{600 - 501}{85}[/tex]
[tex]Z = 1.165[/tex]
[tex]Z = 1.165[/tex] has a p-value of 0.878.
1 - 0.878 = 0.122
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
4(-8x + 5) = -32.x - 26
solve the equation
Answer:
-46
Step-by-step explanation:
4(-8x + 5) = -32x - 26
-32x + 20 = -32x - 26
-32x + 32x = -26 - 20
x = -46
Answer:
-32x+20=-32x-26
20=-26
so unequal or undefined
hope this helps
have a good day :)
Step-by-step explanation:
Integrate Sin(3x)Cos(3x) dx
Answer:
[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]
Where [tex]C[/tex] is the integration constant.
Step-by-step explanation:
We use integration by substitution to obtain the integral, where:
[tex]u = \sin 3x[/tex], [tex]du = 3\cdot \cos 3x\,dx[/tex]
[tex]I = \int {\sin 3x\cdot \cos 3x} \, dx[/tex]
[tex]I = \frac{1}{3} \int {u} \, du[/tex]
[tex]I = \frac{1}{6}\cdot u^{2} + C[/tex]
[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]
Where [tex]C[/tex] is the integration constant.
Look at this net for a rectangular prism.
What is the surface area of the solid created by the net? Show your work.
the second part of the question EXPLAIN YOUR THINKING PLZ HELP
The length of the rectangular face is 15 cm, and there are 4 rectangular faces in the rectangular prism. If the length of the rectangular faces in the prism was tripled to 45 cm, what would happen to the size of the 2 rectangular bases of the prism? Explain your thinking.
Answer:
Step-by-step explanation:
the surface area = area of the 4 faces+ area of the 2 bases
4 *(15*8) + 2*( 8*6) = 480+96 = 576 cm²
if the length of the faces tripled, the two bases remain unchanged because the prism just gets taller on the same bases.
The probability that Bob and Chris go to the movies is 0.35. The probability that Chris goes to the movies is 0.5. What is the probability that Bob goes to the movies given that Chris goes
Answer:
[tex]P(B/C)=0.7[/tex]
Step-by-step explanation:
From the question we are told that:
The probability that Bob and Chris go to the movies [tex]P(BnC)= 0.35.[/tex]
The probability that Chris goes to the movies [tex]P(C)= 0.5[/tex]
Generally the equation for the probability that Bob goes to the movies given that Chris goes P(B/C) is mathematically given by
[tex]P(B/C)=\frac{ P(BnC)}{P(C)}[/tex]
Therefore
[tex]P(B/C)=\frac{0.35)}{0.5}[/tex]
[tex]P(B/C)=0.7[/tex]
Round your answer to the nearest hundredth.
pls help :((
Answer:
Angle B = 29.74
Step-by-step explanation:
Tan(x)=opp/adj
Tan(x)=4/7
x=[tex]Tan^{-1} (\frac{4}{7} )[/tex]
x=29.74
Mars is on average 2.25 x 108 miles away from Earth. The moon is on average 2.388 x 105 miles away from Earth. Approximately how many times
farther is Mars from Earth than the moon is ?
A.0.94 times
B.9.4 times
C.94 times
D.940 times
Answer:
I believe the answer is D
Step-by-step explanation:
Mars is approximately 940 times farther away from Earth than the Moon.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
Mars is on average 2.25 x 10⁸ miles away from Earth.
The moon is on average 2.388 x 10⁵ miles away from Earth.
To calculate the answer, we need to divide the distance from Mars to Earth by the distance from the Moon to Earth. This gives us:
2.25 x 10⁸ miles / 2.388 x 10⁵ miles = 942.42
Rounded to the nearest whole number, this means that Mars is approximately 940 times farther away from Earth than the Moon is.
Therefore, the answer is D) 940 times.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ6
SOMEONE PLEASE HELP!
I dont know Im sorry
Step-by-step explanation:
I just want points in not that smart
What is the opposite of dividing by 21? A. dividing by 21 B. multiplying by 21 C. subtracting 21 D. adding 21
Answer:
the correct answer is option B
How many different squads of 5 players can be picked from 10 basketball players?
Answer:
2 squads of five can be picked from 10 basketball players
Step-by-step explanation:
To solve this problem you have to divide 10 ÷ 2 which equals to 5.
angle DAC= angle BAD
what is the length of side bd round to one decimal place
Answer:
BD ≈ 2.8 units
Step-by-step explanation:
By angle bisector theorem,
"If a segment bisects an angle of a triangle, then it divides the opposite side into the segments which are proportional to the other two sides"
Here, AD is the bisector of the ∠BAC,
[tex]\frac{BD}{CD}=\frac{AB}{AC}[/tex]
[tex]\frac{8.1}{5.9}= \frac{BD}{2}[/tex]
BD = [tex]\frac{2\times 8.1}{5.9}[/tex]
BD = 2.75
BD ≈ 2.8 units