Answer:
c. 20%
Step-by-step explanation:
3/15=1/5
1 divided by 5 = .2
Move decimal point 2 times to get percent.
20%
A dig-your-own potato farm charges $1.27 per pound of potatoes plus $0.20 per pound to clean the potatoes. Kevin digs 30 pounds of potatoes. The farm cleans 8 pounds for him. How much does Kevin pay in all?
A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)
Answer:
a) p*n = 46 and q*n = 454 data is enough for inference
b) CI = ( 0,099 ; 0,141)
c) CI we will find with 90% of confidence the value of p in that interval
d) No, we accept H₀ we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education
Step-by-step explanation:
Information from A state´s Department of Education is:
p₀ = 12 % p₀ = 0,12
The State University sample:
Sample size n = 500
Sample proportion 46 out of 500
p = 46/500 p = 0,092 then q = 1- p q = 1 - 0,092 q = 0,908
Both p*n = 46 and q*n = 454
a) Are big enough to approximate the binomial distribution to normal distribution
b) CI = 90% CI = 0,9 significance level α = 0,10 for an CI we need
α/2 = 0,10/2 α/2 = 0,05
z(c) = - 1,64 ( from z-table)
MOE = z(c)*√(p*q)/n
MOE = 1,64 * √ ( 0,092*0,908)/500
MOE = 1,64 *√0,08353/500
MOE = 1,64 * 0,0129
MOE = 0,021
Then CI = 90 % is:
CI = ( 0,12 - 0,021 < P < 0,12 + 0,021 )
CI = ( 0,099 ; 0,141)
We have with 90 % of confidence for finding the value of p in the interval
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
we have for α = 0,1 z(c) = - 2,32 from z table
And z(s) = ( p - p₀ ) / √ (p*q)/n
z(s) = ( 0,092 - 0,12 ) / √(0,092*0,908)/500
z(s) = - 0,028 / 0,0129
z(s) = - 2,17
Comparing z(s) and z(c) we see that
|z(s)| < |z(c)|
So z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education
A baseball pitcher won 60% of his games. How many did he win if he pitched 35 games?
Answer:
21 games
Step-by-step explanation:
Multiply the number of games by the percentage.
35 · 0.60 = 21
simplify
[tex] \sqrt{324} [/tex]
A. 16
B. 17
C. 18
D. 19
Answer: C) 18
Step-by-step explanation:
Your problem → Simplify square root of 324
First find factors of 324
2 324
2 162
3 81
3 27
3 9
3 3
1
324=2×2×3×3×3×3
324 = 2^2 × 3^4
Taking squareroot
∴√324=√2^2 × 3^4
=2 × 3^2
=18
∴ 324 is a perfect square
A teacher is 5 feet 8 inches tall and she shrinks to 9 inches. How tall will her pencil be if it undergoes the same scale shrink and was originally 12 inches?
A) 1.59 inches
B) 1.86 inches
C) 2.68 inches
D) 6.8 inches
Answer:
c
Step-by-step explanation:
2.68
John is going to invest in an account paying an interest rate of 3.8% compounded
daily. How much would John need to invest, to the nearest hundred dollars, for the
value of the account to reach $1,880 in 20 years?
Answer:
900
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
the following figures are similar, find the value of x
Answer:
x=143
Step-by-step explanation:
scale factor (if that is the correct term) is 13. you find that by matching sides to side. this means that 91/7=13, therefore you know that 4*13 is 52 and 11*13 is 143
write an equivalent expression for the following using distributive property A(9b+13)
apply distributive property AKA (A • 9b)+(A • 13)
9Ab + 13A
I hope this helps :)
GIVE ME THE CORRECT ANSWER I THANK, GIVE 5 STARS, AND GIVE BRAINLIEST!!!!
System of equations
Solve by substitution:
y = x + 7
2x + y = -5
Group of answer choices
(4 , -3)
(4 , 3)
(-4 , 3)
(-4, -3)
Answer:
C: (-4,3)
Step-by-step explanation:
2x+x+7=-5
3x+7=-5
3x=-12
x=-4
y=-4+7
y=3
(-4,3)
a person runs around a square field of side 70m, while another person runs around a rectangular field with length 90m and breadth 60m. Who covers more distance by how much?
[tex]\huge\underbrace\red{Answer}[/tex]
Given :- Side of the square field = 70mLength of the rectangular field = 90mBreadth of the rectangular field = 60mTo Find :- Perimeter of the square fieldPerimeter of the rectangular fieldSolution :-Perimeter of the square = 4 × side
By substituting values,
⇒ 4 × 70m
➥ 280m
Hence, A Person runs 280m around a Square fieldPerimeter of the rectangle = 2( length + Breadth)
By substituting values,
⇒ 2( 90m + 60m )
⇒ 2( 150m)
➥ 300m
Hence, A Person runs 300m around a rectangular fieldDifference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field
By substituting values,
⇒ 300m - 280m
➠ 20m
Hence, The person runs more around a rectangular field by 20mSolve for p. U=1/7pd
Answer:
U =1/7pd
Multiplying through by 7pd, we have U7pd=1
Dividing through by U7d , we have p=U7d*1
Therefore p= U7d
Someone help me??? Would be nice
I believe it's A. B. and C.
Step-by-step explanation:
B is closest to y-axis
A isn't aligned with b
What is the solution to the gaming systems of linear equations 2X plus 3Y equals 13 for a 6+ 6Y equals 14
Answer:
(9/2, 4/3) or just x = 9/2, y = 4/3. (it's the same thing)
Step-by-step explanation:
First, multiply the first equation 2x + 3y = 13 by 2, so that you get 4x + 6y = 26. Now you have the same coefficient for y. Now, subtract the second equation 6y = 8 (i simplified it first) from the first one that is doubled. After that, you would have just one equation, 4x = 18. So x = 18/4 = 9/2. Substitute x to solve for y, and you'd get 4/3.
9514 1404 393
Answer:
(x, y) = (-6, 8 1/3)
Step-by-step explanation:
The system of equations appears to be ...
2x +3y = 136x +6y = 14Dividing the first equation by 2 gives ...
3x +3y = 7
Subtracting the first equation from this, we get ...
(3x +3y) -(2x +3y) = (7) -(13)
x = -6
Then substituting for x in the first equation, we have ...
2(-6) +3y = 13
3y = 25 . . . . . . . . add 12
y = 25/3 = 8 1/3 . . . . divide by 3
The solution is (x, y) = (-6, 8 1/3).
help me plz
The stage manager of a school musical is trying to figure out how many sandwiches he can order with the $83 he collected from the cast and crew. Sandwiches cost $5.99 each, so he lets x represent the number of sandwiches he will order and writes 5.99x < 83. He solves this to two decimal places and gets x < 13.86.
Which of these are valid statements about this situation? Select all that apply.
1) He can call the sandwich shop and order exactly 13.86 sandwiches.
2) He can round up and order 14 sandwiches.
3) He can order 12 sandwiches.
4) He can order 9.5 sandwiches.
5) He can order 2 sandwiches.
6) He can order -4 sandwiches.
Justify your answer(s).
Answer:
Step-by-step explanation:
1) it is not this answer because you cant order 13.86 sandwiches. it has to be a whole number.
2) Not this answer. If he bought 14 sandwhichs hed have to pay 83.86 and he doesnt have 36 cents xtra.
3) He CAN order 12 sandwhiches. if he has $83 and if you bought twelve sandwiches he would spend $71.88 which is still within the range he can buy from.
4) He CANNOT order .5 of a sandwhich so i wouldnt select this one.
5) He CAN order 2 sandwhiches. he has enough money for that
6) he CANNOT order negative amount of sandwhiches.
Can someone help me with this?
Answer:
A=10 cm
B=5 cm
Area of square = 25 cm
Step-by-step explanation:
Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25
Please help this is for another person who doesn’t know the answer :)
Answer:
The answer is,
[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]
PLEASEEEEEE HELPPPPPPP
What types of jobs were Deaf people frequently hired for during the wars?
health care
part time
construction
factory
Answer:
Factory
Step-by-step explanation:
Answer:
factory
Step-by-step explanation:
Simplify: 5!
A. 5
B. 20
C. 120
D. 240
Answer:
it would be 5
Step-by-step explanation:
I don't have an explanation I just know it is 5
help me.... this is do in 13 min
Answer:
d
Step-by-step explanation:
Need help with this
Find the value of x. Then find the measure of each labeled angle.
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Provide your answer below:
Answer:
Step-by-step explanation:
lets have one side =a
P=3a+a+(17+a)=52
P=5a+17=52
5a=52-17
5a=35
a=7
second side=21
third side=24
To find the quotient of 4-5 multiply 4 by
A. 1/5
B. 1/4
C. 4
D. 5
Answer:
5
Step-by-step explanation:
when dividing number by fractions,we can simply multiply the number by the reciprocal of the decimal
so,4÷1/5=4 ×(reciprocal of 1/5 )
A reciprocal of a number is the same no.written under 1 aka.1divided by that number which simply is flipping
numerator and denominator .
reciprocal of 1/5 is 5/1 =5
so 4÷1/5 = 4×5
so answer is 5
hope this is helpful
What is the value of (4)5/(4)3?
Anumeha knows the following information about a set of 20 numbers: 9 numbers are a multiple of 3 but not a multiple of 4. 10 numbers in total are a multiple of 3. 10 numbers in total are a multiple of 4. Can you help Anumeha organize the results into a two-way frequency table?
4. Calculate the expected value for the spinner at right?
(3pts)
8
1200
24
6
Answer: The expected value is 12.44
Step-by-step explanation:
The expected value can be calculated as:
EV = ∑xₙ*pₙ
Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:
x₁ = 8
x₂ = 6
x₃ = 24
And pₙ is the probability of the n-th event.
For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).
First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:
p₁ = 90°/360° = 0.25
For outcome = 24, we have an angle of 120°, then the probability for this event is:
p₃ = (120°/360°) = 0.33
And the angle for the third arc must be such that:
90° + 120° + A = 360°
then:
A = 360° - 90° - 120° = 150°
Then the probability for the outcome = 6 is:
p₂ = (150°/360°) = 0.42
Now we can find the expected value as:
EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44
Eli burned 1449 calories running a half marathon. If he finished in 2 hours and 6 minutes.ow many calories did he burn per minute
What is the diameter of X?
12 cm
4 cm
8 cm
2 cm
Answer:
diameter =2xradius
diameter=2x4
diameter =8cm
Answer:8cm
Step-by-step explanation:
The inverse of F(x) is a function.
Answer:
Step-by-step explanation:
the word inverse refers to the opposite of another operation.
The inverse of the function f is denoted by f -1.
If you found my answer useful then mark me brainliest.
Find the intercepts of
y= 2x -4
Answer:
y intercept is -4
x intercept is 2