Answer:
D. We do not expect that exactly 23% of the sample participates in the textbook recycling program. We do expect that the sample proportion will be close to the population proportion, but it will vary by the sample error from sample to sample
B. The sample with size 400 will be closer to 23% because a larger sample size has a smaller standard error.
Step-by-step explanation:
The mean of sample can be estimated from the population. However, what we only get is the estimated mean of the sample which isn't the exact figure as that of the population. This slight variation in the mean value of the sample is due to sampling error.
According to the Central limit theorem, increasing the sample size yield a sample mean which continously converges to that of the population mean as the sampling error for such distribution drops lower and lower.
The true statements are:
D. We do not expect that exactly 23% of the sample participates in the textbook recycling program. We do expect that the sample proportion will be close to the population proportion, but it will vary by the sample error from sample to sample B. The sample with size 400 will be closer to 23% because a larger sample size has a smaller standard error.The given parameters are:
[tex]\mathbf{P(Recycling) = 23\%}[/tex]
This means that there is a 23% chance that a student in a college participates in textbook recycling
However, it does not mean that the probability is exactly 23% in a sample of 40 students.
This is so because, there may be error in the sampling of the population.
Hence, the true statement is (d)
According to central limit theorem, as the sample size increases, the sample error reduces.
This mean that the probability will be closer to 23% when the sample size increases to 400
Hence, the true statement is (b)
Read more about probability at:
https://brainly.com/question/11234923
What is the angle of elevation of the sun when a 50-ft
mast casts an 18ft shadow? Round to the nearest
whole number.
Tan O
50
18
Tano= Opposite Leg
Adjacent Leg
0=
✓
Submit
50ft
o
F-18 ft -
Please help me solve this problem
Answer:
Step-by-step explanation:
[tex]\tan \theta=\frac{50}{18}=\frac{25}{9}\\\theta=tan^{-1} (\frac{25}{9})\approx 70^\circ[/tex]
Mr.Chamberlain is planning a field trip for his math classes to visit a museum.It costs $300 to rent the bus, then $7.50 per student for entry to the museum Mr. Chamberlain only has a budget of $1,000 from the school. Which equality below represents the number of students he can bring on the trip?
Answer:
Equation - $1000=$300+$7.50x
Answer - Mr. Chamberlain can included 93 Student Entries
Step-by-step explanation:
$1000 (budget)
$300 (cost to rent bus)
$7.50 (cost of each student entry)
$1000-$300= $700
Now we have found out that Mr. Chamberlain has $700 left to spend on student entries.
$700/$7.50 = 93.333
Round 93.333 down to 93 because you can't have 1/3 of a student (obviously)
93 = the max number of student entries that Mr. Chamberlain can have for the museum field trip
I hope this helps :)
79 1/6% as a fraction
Answer:
475/6%
Step-by-step explanation:
I hope this helps.
The equivalent fraction of the percentage is A = 47401/600
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction be represented as A
Now , the percentage value is given by P
And , the value of P = ( 79 1/6 ) %
We know that 1% is equivalent to 1/100, so we can write:
79 1/6% = 79 + 1/6% = 79 + 1/6 x 1% = 79 + 1/600
Now, we can convert the mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator, then placing this over the denominator:
79 + 1/600 = (79 x 600)/600 + 1/600 = 47400/600 + 1/600
Combining these fractions, we get:
79 1/6% = 47401/600
Hence , 79 1/6% as a fraction is 47401/600.
To learn more about fractions click :
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Becky wants to eat 1/4 of a small pumpkin pie. which if the following statements are correct? select all that apply
a) If she cuts the pie into 8 pieces of the same size, she should eat 2 pieces
b) If she cuts the pie into 10 pieces of the same size, she would eat 4 pieces
c) If she cuts the pie into 12 pieces of the same size, she should eat 3 pieces
If you were to randomly pick a ball from the pile below what is probably that the ball picked is a yellow ball
Answer:
1/4
Step-by-step explanation:
Clyde bought a belt for $25 at a tax rate of 5%. He also bought a shirt $14 at a tax rate at 5%. What is the sum, in dollars, that he will pay including tax?
Answer:
40.95
Step-by-step explanation:
First, calculate the tax rate for the belt.
$25 is 1/4 of 100. 5% of 100 is 5, so the tax for 25 is 1/4 of 5, or 1.25.
Next, calculate the tax for the shirt. 14*0.05=0.7
Add everything together.
14+25+0.7+1.25=40.95
A rectangular prism has a length of 5 cm, a width of 7 cm, and a height of 4 cm. What is the volume of the prism?
Answer:
140
Step-by-step explanation:
V=whl=7·4·5=140cm³
Answer:
140cm^3
Step-by-step explanation:
It is 140 because volume is base x length x height so 7 x 5 x 4 = 35 x 4 = 140 cm cubed so 140cm^3
Hope this helps
Owner investment: $8,000
Revenue: $15,000
Equity: $21,000
Expenses: $3,000
Based on this data, the net profit or loss on the income statement should be:
Answer: $12,000
Step-by-step explanation:
The Income statement shows the Net Profit or Loss for a company in a given period. That Net income is calculated by subtracting expenses from the revenue for the period:
= Revenue - Expenses
= 15,000 - 3,000
= $12,000
Helppppppppppp meeeeeeeeee
Answer:
The Area is 13 sq m
Step-by-step explanation:
hope it helps you..
Answer:
22 is right answer I think
Make x the subject of the formula r=√x²+y²
Answer:
Step-by-step explanation:
change improper fractions: 6 × 1/4 =
Answer:
[tex]1 \frac{1}{2}[/tex]
Which of these is the domain and range
for the parent function of 2(x-5)° +3 ?
Paul owns a gym and needs to replace the carpeting on the floor. The gym's floor plan is shown.
8 yd
3 yd
4 yd
المة
How many square yards of carpeting is needed to cover the entire gym?
O 18 square yards
O 24 square yards
O 36 square yards
44 square yards
Answer:
24 square yards
Step-by-step explanation:
Find the diagram attached.
The area of the diagram = Area of rectangle + Area of triangle
Area of rectangle = 3 * 4
Area of rectangle = 12 square yards
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 6 * 4
Area of triangle = 12 square yards
Area of the diagram = 12 + 12
Area of diagram = 24 square yards
Hence 24 square yards of carpeting is needed
Your teacher is giving a test that is made up of 3 point questions and5 point questions the test is worth 100 points and has 28 questions how many 3 points questions are there ?
Answer:
I am thinking 8 amigo, i could be wrong, so please look it up, or try to think about how to do it
Step-by-step explanation:
I hope you have a blessed day!
PLEASE HELP D:
Which of the following possibilities will form a triangle?
A - Side = 16 cm, side = 8 cm, side = 7 cm
B - Side = 16 cm, side = 9 cm, side = 7 cm
C - Side = 17 cm, side = 12 cm, side = 7 cm
D - Side = 17 cm, side = 11 cm, side = 5 cm
Answer:
Step-by-step explanation: Three line segments can form a triangle, if the sum of any two lengths is greater than the third length. In A), 8 + 7 = 15 < 16. So, A cannot form a triangle.
Step-by-step explanation:
you have to study
Answer:
A,B and D form a triangle
Step-by-step explanation:
A - Side = 16 cm, side = 8 cm, side = 7 cm
16>8+7=15 form a triangle
B.- Side = 16 cm, side = 9 cm, side = 7 cm
16>9+7=16 form a triangle
C - Side = 17 cm, side = 12 cm, side = 7 cm
18>12+7=19 not form a triangle
D - Side = 17 cm, side = 11 cm, side = 5 cm
17>11+5=16 form traingle
2m = 82
Question Options:
add 2; m = 41
subtract 2, m = 41
multiply by 2; m = 41
divide by 2; m = 41
Answer:
Step-by-step explanation:
2m = 82
m = 41
divide by 2
answer is D
Answer:
divide by 2; m = 41
Step-by-step explanation:
divide by 2; m = 41
According to PEMDAS you have to divide
PLEASE HELP ILL GIVE BRAINLIEST!!
What is the volume of the solid, rounded to the nearest tenth? Use 3.14 for TT.
This is too many questions
122.7 cm
3434.4 cm3
858.6 cm
Answer:
Step-by-step explanation:
Radius r = 12.5/2 = 6.25 cm
Height h = 7 cm
volume = πr²h = 3.14⋅6.25²⋅7= 858.6 cubic cm
Which of the following statements are true? (Select all that apply)
Correlation coefficients are negative when the relationship is weak and positive when they are strong.
Correlation coefficients show the relationship of the x and y values.
Correlation coefficients can be any value less than 1 or greater than −1.
Correlation coefficients show the x and y intercepts of the best fit line.
Correlation coefficients can be represented by the variable r.
Answer:
a and c I'm 99percent shure
The top of a ladder slides down a vertical wall at a rate of 2 feet per second. At the moment when the bottom of the ladder is 4 feet from the wall, it slides away from the wall at a rate of 3 feet per second. How long is the ladder
Answer:
The length of the ladder is 7.21 feet
Step-by-step explanation:
Let
y = Height of the wall
x = Distance between the wall and the ladder (bottom)
L = Length of the ladder
So, the given parameters are:
[tex]\frac{dy}{dt} = -2ft/s[/tex]
When [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]
The ladder, the wall and the ground forms a right-angled triangle where the hypotenuse is the length of the ladder; So:
[tex]L^2 = x^2 + y^2[/tex]
Differentiate with respect to time
[tex]2L\frac{dL}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
The length of the ladder does not change with time. So:
[tex]2L*0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
[tex]0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
Rewrite as:
[tex]2x\frac{dx}{dt} =- 2y\frac{dy}{dt}[/tex]
Divide both sides by 2
[tex]x\frac{dx}{dt} =- y\frac{dy}{dt}[/tex]
Recall that:
[tex]\frac{dy}{dt} = -2ft/s[/tex] and [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]
So:
[tex]4 * 3 = -y * -2[/tex]
[tex]12 = 2y[/tex]
[tex]6 = y[/tex]
[tex]y = 6[/tex]
Substitute [tex]y = 6[/tex] and [tex]x =4[/tex] in: [tex]L^2 = x^2 + y^2[/tex]
[tex]L^2 =4^2 + 6^2[/tex]
[tex]L^2 =52[/tex]
[tex]L = \sqrt{52[/tex]
[tex]L = 7.21ft[/tex]
what is the slope of the line for 3x+ 4y = 20?
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 3x from both sides of the equation:
3x (-3x) + 4y = (-3x) + 20
4y = -3x + 20
Next, divide 4 from both sides of the equation:
(4y)/4 = (-3x + 20)/4
y = (-3/4)x + 5
[tex]y = -\frac{3}{4}x + 5[/tex]
~
Note the equation.
y = mx + b
y = y
m = slope = [tex]-\frac{3}{4}[/tex]
x = x
b = y-intercept = 5
If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
А
27
B
47
50
D
35
Answer:
I think its gonna be 35 I'm not sure
Which line has the same slope as the line passing through (-4, -1) and (-1, -7) ?
Answer:
D
Step-by-step explanation:
Answer:
athe correct answer of this question is 6x + 3y = 5
Write 3 equivalent ratio for 50:10
Answer:
5:1
10:2
100:20
Step-by-step explanation:
Solve For X? I been stuck on this question..
Answer:
Step-by-step explanation:
Adam measured a line to be 6.4 inches long. If the actual length of the line is 6.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
What is the name given to a five-sided polygon that has congruent sides? A. hexagon B. regular hexagon C. pentagon D. regular pentagon
Answer:
C
Step-by-step explanation:
Pentagon
Hope this helps (:
Answer
C). pentagon is the correct answer.
Step-by-step explanation:
A pentagon has 5 congruent sides and 5 angles.
Write the equation of the quadratic function with vertex (7,9) in Vertex
Form.
9514 1404 393
Answer:
y = (x -7)² +9
Step-by-step explanation:
The vertex form of the quadratic equation is ...
y = a(x -h)² + k . . . . . . . . vertex (h, k); vertical scale factor 'a'
If we use a vertical scale factor of a=1, then putting the vertex (h, k) = (7, 9) into the vertex form gives ...
y = (x -7)² +9
someone please help these questions are due at 11;59 today please help urgent
1)A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 258.5-cm and a standard deviation of 2.3-cm. For shipment, 30 steel rods are bundled together.
Find the probability that the average length of a randomly selected bundle of steel rods is between 258.5-cm and 259-cm.
P(258.5-cm < M < 259-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
2)
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 127.1-cm and a standard deviation of 1.6-cm. For shipment, 6 steel rods are bundled together.
Find P17, which is the average length separating the smallest 17% bundles from the largest 83% bundles.
P17 =
-cm
Enter your answer as a number accurate to 2 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answer:
1) P(258.5-cm < M < 259-cm) = 8.71%.
2) P17 = 125.57cm
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.
Question 1:
Mean of 258.5-cm and a standard deviation of 2.3-cm, which means that [tex]\mu = 258.5, \sigma = 2.3[/tex]
Find the probability that the average length of a randomly selected bundle of steel rods is between 258.5-cm and 259-cm.
This is the pvalue of Z when X = 259 subtracted by the pvalue of Z when X = 258.5.
X = 259
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{259 - 258.5}{2.3}[/tex]
[tex]Z = 0.22[/tex]
[tex]Z = 0.22[/tex] has a pvalue of 0.5871
X = 258.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{258.5 - 258.5}{2.3}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
0.5871 - 0.5 = 0.0871
0.0871*100% = 8.71%. So
P(258.5-cm < M < 259-cm) = 8.71%.
Question 2:
Mean of 127.1-cm and a standard deviation of 1.6-cm, which means that [tex]\mu = 127.1, \sigma = 1.6[/tex]
Find P17, which is the average length separating the smallest 17% bundles from the largest 83% bundles.
This is the 17th percentile, which is X when Z has a pvalue of 0.17. So X when Z = -0.954.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.954 = \frac{X - 127.1}{1.6}[/tex]
[tex]X - 127.1 = -0.954*1.6[/tex]
[tex]X = 125.57[/tex]
P17 = 125.57cm
18 A bank charges a $ 10 fee to open an
account. Which of the following equations
best represents the total amount in the
account, m, when starting with d, dollars?
A. m = d + 10
B. m = d - 10
C. m - 10 = d
D. m + d = 10
What is the equation of the line shown written in slope-intercept form?
Answer:
Y = 2
Step-by-step explanation: