Determine the amount of each unknown
Cost of the item $300
Sales tax _______
Amount of tax ________
Total cost $360
Answer:
Sales tax:20%
Amount of tax:$60
The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland 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. They select a random sample of 450 applications, and find that 46 of those students attend private schools.
The question is incomplete. Here is the complete question.
The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 application on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools. Create and interpret a 95% confidence interval.
Answer and Step-by-step explanation: Th proportion of students that attend private schools in the sample is
[tex]p=\frac{46}{450}[/tex]
p = 0.102
At 95% confidence, z-score is 1.96.
Standard deviation for sample proportion is calculated as
[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]
For this sample, it will be
[tex]\sigma = \sqrt{\frac{0.10(1-0.1)}{450} }[/tex]
[tex]\sigma=\sqrt{0.0002}[/tex]
[tex]\sigma=0.01414[/tex]
Interval is calculated as
p ± zσ
Then
0.102 ± 1.96(0.01414)
0.102 ± 0.028
Interval is 0.074 < p < 0.13
What confidence interval means is that with a certainty of 95%, we are confident that the true population proportion of students who attend private schools are between 0.074 and 0.13.
Choose 5 cards from a full deck of 52 cards with 13values (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A) and 4 kinds(spade, diamond, heart, and club). Count how many possible ways to geta(a)Two-pairs: Two pairs plus another card of a different value, for example:(b)Flush: five cards of the same suitbutdifferent values, for example: (c)Full house: A three of a kind and a pair, for example: (d)Four of a kind: Four cards of the same value, for example:
Answer:
a) 182 possible ways.
b) 5148 possible ways.
c) 1378 possible ways.
d) 2899 possible ways.
Step-by-step explanation:
The order in which the cards are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question, we have that:
There are 52 total cards, of which:
13 are spades.
13 are diamonds.
13 are hearts.
13 are clubs.
(a)Two-pairs: Two pairs plus another card of a different value, for example:
2 pairs of 2 from sets os 13.
1 other card, from a set of 26(whichever two cards were not chosen above). So
[tex]T = 2C_{13,2} + C_{26,1} = 2*\frac{13!}{2!11!} + \frac{26!}{1!25!} = 182[/tex]
So 182 possible ways.
(b)Flush: five cards of the same suit but different values, for example:
4 combinations of 5 from a set of 13(can be all spades, all diamonds, and hearts or all clubs). So
[tex]T = 4*C_{13,5} = 4*\frac{13!}{5!8!} = 5148[/tex]
So 5148 possible ways.
(c)Full house: A three of a kind and a pair, for example:
4 combinations of 3 from a set of 13(three of a kind ,c an be all possible kinds).
3 combinations of 2 from a set of 13(the pair, cant be the kind chosen for the trio, so 3 combinations). So
[tex]T = 4*C_{13,3} + 3*C_{13.2} = 4*\frac{13!}{3!10!} + 3*\frac{13!}{2!11!} = 1378[/tex]
So 1378 possible ways.
(d)Four of a kind: Four cards of the same value, for example:
4 combinations of 4 from a set of 13(four of a kind, can be all spades, all diamonds, and hearts or all clubs).
1 from the remaining 39(do not involve the kind chosen above). So
[tex]T = 4*C_{13,4} + C_{39,1} = 4*\frac{13!}{4!9!} + \frac{39!}{1!38!} = 2899[/tex]
So 2899 possible ways.
6. Find the ICM of 60 and 400
Answer: it's 1200
Step-by-step explanation: please give me brainliest
400x3=1200
60x20=1200
Please help me ! I’ll give anyone a 5 star rating for the correct answers.
Answer:
A)Josh
B)Mila
C) Amir
Is a coin flip random? Why or why not, in your opinion?
Choose the correct answer below.
A.
Yes. You will get heads on every other flip.
B.
Yes. You cannot predict the outcome beforehand.
C.
No. You must run numerous trials before you can tell.
D.
No. You can predict the outcome beforehand.
Answer:
B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
HELP!!!ITS DUE IN AN HOUR
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold $530
worth of jewelry. How much did she make in commission? How much did the jewelry store make
from her sales?
Heidi earned in commission.
Answer:
26.5
Step-by-step explanation:
dont worry I'm actually the salesperson at the jewlery store
Step-by-step explanation:
it is not confrmed answer
commission:106%
What is
in exponential form?
2
Xy
2
xy
10
xay
xy
O
XY
5
xy
Answer: a
Step-by-step explanation:
Answer:
An x-y axis, also known as a cartesian coordinate system or a coordinate plane, is a two-dimensional plane of points defined uniquely by a pair of coordinates. ... The horizontal line, then, is known as the x axis and measures the distance left or right from the vertical line.
Step-by-step explanation:
What is the quotient of 9.75÷1.3
Answer:
7.5
You know, you can just use a calculator.
The moon is about 382,500 km away from earth. This distance actually varies by about 22,500 km. What are the maximum and minimum distances to the moon?
Answer:
225,623 miles (363,104 kilometers).
Step-by-step explanation:
Can someone answer this because this one is confusing and I need help.
Answers
A.280 cubic inches
B.1,800 cubic inches
C.180 cubic inches
D.600 cubic inches
your answer would be 180 cubic inches which is option C
PLS HELP ASAP If -2 is added to each of the x and y intercepts of the line 3x + 2y = 6, find the new equation of the line
Answer:
3x + 2y = -4
Step-by-step explanation:
x intercept of the line occurs at y = 0
Given the equation 3x+2y = 6
3x+2(0) = 6
3x = 6
x = 2
The x intercept is at (2, 0)
Adding -2 to each axis will give (2-2, 0-2) = (0, -2)
y intercept of the line occurs at x = 0
Given the equation 3x+2y = 6
3(0)+2y = 6
2y = 6
y =3
The x intercept is at (0, 3)
Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)
The new coordinates are (0, -2 and (-2, 1)
Using the point slope form of the equation y - y0 = m(x-x0)
slope m = y2-y1/x2-x1
m = 1-(-2)/-2-0
m = 1+2/-2
m = -3/2
Using m = -3/2 and (0, -2)
y - (-2) = -3/2(x-0)
y+2 = -3/2 x
2(y+2) = -3x
2y+4 = -3x
-3x-2y = 4
3x + 2y = -4
Hence the required equation is 3x + 2y = -4
write an expression y+3y-2y=
Answer:
3y=2y
Step-by-step explanation:
Im not sure if this is the answer your looking for but I hope this helped. I tried tho lol :)
Jeromes credit card has an APR of 18% calculated on the previous monthly balance and a minimum payment of 2% starting the month after the first purchase his credit card record for the last seven months is shown in the table below what is the total amount that Jerome has paid in interest over the seven months
Answer:
$194.54!!
Step-by-step explanation:
Answer:
65.18
Step-by-step explanation:
solving the systems of linear equations by substitution.
x+2y=6
5x+2y=18
Express 29/100 as a decimal
Answer:
Step-by-step explanation:
Since there are 2 digits in 29, the very last digit is the "100th" decimal place. So we can just say that . 29 is the same as 29/10
Answer:
0.29 = 29/100
Explanation:
I have data with 2 independent variables measuring the effectiveness of 3 different antibiotics at different dosages. I don't know if I should use a bar graph or line graph
what is the answer to this question
1/2 x -7=1/3(x-12)
Answer:
= 1 8 hope this helps!!! :)
Step-by-step explanation:
1 2 ⋅ −7 = 1 3 ( − 1 2 )
1 2 − 7 = 1 3 −1 2 )
1 2 − 7 = 1 3 − 1 2 )
Multiply by 1
Combine multiplied terms into a single fraction
Multiply by 1
Add to both sides of the equation
Answer:
x = 3/2 = 1 1/2 = 1.5
Step-by-step explanation:
1/2 x -7=1/3(x-12)
Multiply 1/2 and -7 to get -7/2
-7/2 = 1/3(x-12)
Fraction -7/2 can be rewritten as -7/2 by extracting the negative sign.
- 7/2 = 1/3(x-12)
Use the distributive property to multiply 1/3 by x−12.
-7/2 = 1/3x + 1/3(-12)
Multiply 1/3 and −12 to get -12/3
-7/2 = 1/3x + -12/3
Divide −12 by 3 to get −4.
-7/2 = 1/3x + 4
Swap sides so that all variable terms are on the left hand side.
1/3x -4 = -7/2
Add 4 to both sides.
1/3x = -7/2 + 4
Convert 4 to fraction 8/2
1/3x = -7/2+8/2
Since -7/2 and 8/2 have the same denominator, add them by adding their numerators.
1/3x = -7+8/2
Add −7 and 8 to get 1.
1/3x = 1/2
Multiply both sides by 3, the reciprocal of 1/3
x = 1/2 x 3
Multiply 1/2 and 3 to get 3/2
x = 3/2
- {(-3, 3), (1, 1), (0, -2), (1,-4), (5, -1)}
Function?
Answer:
Step-by-step explanation:
It is not a function. (1,1) and (1,-4) are both points on the graph.
3 ( 2 - 2 ) + 2 ( - 2 x 3 + 4 )
what phrases describes the expression of 16-y
What phrases describes the expression of 16-y
Answer: -9
Hope this helps~
How much is 20% off of $90.75?
Find the equation of a line parallel to the equation y = 5x + 7 through the point (2,7).
Answer:
y = 5x + 7
Step-by-step explanation:
1. Substitue the numbers into their spots.
7 = 5(2)+b
2. Find b by simplifying
7 = 10 + b
-3 = b
3. Substitute it back in since parallel lines have the same slope.
3/8x5/4 Helpppppp pls
Answer:
9/25 or .36
Step-by-step explanation:
Which inequality is true if p = 2.8?
Complete question :
Which inequality is true if p = 2.8?
3p < 10.2
13.6 ≤ 3.9p
5p > 17.1
8.5 ≥ 2.5p
Answer:
3p < 10.2
8.5 ≥ 2.5p
Step-by-step explanation:
To obtain the true expression, put p = 2.8 in all the options and choose the true inequality expression :
3(2.8) < 10.2
8.4 < 10.2 ( true)
13.6 ≤ 3.9p
13.6 ≤ 3.9(2.8)
13.6 ≤ 10.92 ( False)
5p > 17.1
5(2.8) > 17.1
14 > 17.1 ( False)
8.5 ≥ 2.5p
8.5 ≥ 2.5(2.8)
8.5 ≥ 7 (True)
Solve For X. Please add an explanation.
Answer:
Your answer is 2.5
Hope that this is helpful. Vote and like it
Don’t mind the check make but which statement describes the error the student made in simplifying the equation
Answer:
i think A sorry i dont know for suee
blank tens 15 ones = 6 tens 5 ones
Step-by-step explanation:
_x_tens 5 ones=6tens 5 ones
5x=65
x=65/5
x=13
sorry i donot get answer at 15 ones.
2+5x+1/2x^3dx
Answer
Answer:
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]
Step-by-step explanation:
I notice you have a dx at the end of the equation, this leads me to believe this is an integral. With no bounds of integration, I will solve for the indefinite integral. I will also interpret your equation as follows:
[tex]\int \:2+5x+\frac{1}{2}x^3dx[/tex]
Sum rule tells us:
[tex]\int \:2dx+\int \:5xdx+\int \frac{1}{2}x^3dx[/tex]
From this we get:
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}[/tex]
Don't forget to add the constant!
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]
Work out the surface area of the prism