Answer:
Step-by-step explanation:
We would set up the hypothesis test.
For the null hypothesis,
p = 0.24
For the alternative hypothesis,
p ≠ 0.24
This is a two tailed test
Considering the population proportion, probability of success, p = 0.24
q = probability of failure = 1 - p
q = 1 - 0.24 = 0.76
Considering the sample,
Sample proportion, P = r/n
Where
r = 12
n = 52
P = 12/52 = 0.23
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.23 - 0.24)/√(0.24 × 0.76)/52 = - 0.17
Recall, population proportion, P = 0.24
The difference between sample proportion and population proportion(p - P) is 0.24 - 0.23 = 0.01
Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.24 - 0.01 = 0.23
the p for the right tail is 0.24 + 0.01 = 0.25
These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area
From the normal distribution table, the area below the test z score in the left tail 0.43
We would double this area to include the area in the right tail of z = 0.17 Thus
p = 0.43 × 2 = 0.86
The level of significance is 5%
Since alpha, 0.05 < than the p value, 0.86, then we would fail to reject the null hypothesis. Therefore, at 5% significance level, this information does not imply that the color preference of all college students is different (either way) from that of the general population.
find the midpoint of A and b where A has coordinates (2,7) and B has coordinates (6.3)
Answer:
Midpoint of A and B is (4,5).
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on the coordinate plane
then midpoint is given by (x1+x2)/2 , (y1+y2)/2
_____________________________________
here two points are (2,7) and (6,3)
substituting this value in (x1+x2)/2 , (y1+y2)/2
we have,
midpoint (2+6)/2, (7+3)/2
= 8/2 , 10/2 = 4,5
Midpoint of A and B is (4,5).
Joe went shopping yesterday. He saw a new Wii game that costs $55.00. It was on sale for 20% off. How much did Joe pay for the game after the discount? (don't include tax)
Answer:
the answer is 1100
Step-by-step explanation:
you will do... 5500*20/100
Which graph represents the function g(x) = |x + 4| +2
Answer:
none of the two graphs in the pic.
it should be one in the II quadrant
Step-by-step explanation:
the plus four means to move 4 to the left
the plus 2 means to move up 2
That would make the vertex in the II quadrant.
Answer:
its A
Step-by-step explanation:
9x+18=-20
what does X =
Answer:
x=-4.22222
The 2 is repeating
Step-by-step explanation:
First you subtract 18 from both sides
9x=--38
Then divide both sides by 9
x=-4.22222
The 2 is repeating
AnsWER
X=-2/9
Step-by-step explanation:
9X=-20-18
9X=you will divide both sides by -9
X=-2/9
Please help me. I don't understand how to work it out.
[tex]answer \\ = 60 \: meters \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]
write 3x^2/5 in radical form
Answer:
[tex]3\sqrt[5]{x^2}[/tex]
Step-by-step explanation:
As written, no radical is implied. The expression can be rewritten as ...
(3x^2)/5 = (3/5)x^2
_____
Perhaps you intend ...
3x^(2/5)
The denominator of the exponent becomes the index of the radical:
[tex]3x^{\frac{2}{5}}=\boxed{3\sqrt[5]{x^2}}[/tex]
The value of the numerator of a particular fraction is one-half the value of its denominator. If the numerator is increased by 2 and the denominator is decreased by 2, the value of the resulting fraction is 3/4. What is the denominator of the original fraction? URGENT!
Answer:
14
Step-by-step explanation:
Let the original denominator be 2x.
The original numerator is x.
The original fraction is x/(2x).
The numerator is increased by 2, and the denominator is decreased by 2.
The new fraction is (x + 2)/(2x - 2).
The new fraction equals 3/4.
(x + 2)/(2x - 2) = 3/4
Cross multiply.
4(x + 2) = 3(2x - 2)
4x + 8 = 6x - 6
-2x = -14
x = 7
The original numerator was 7.
2x = 2(7) = 14
The original denominator was 14.
the sum of two binomials is 9x^2-4x. if one of the binomials is 3x^2-2x, which of the following choices is the other binomial? a) 6x^2-2x b) 6x^2-6x c) 12x^2-6x d) none
Answer:
B. 6x²-6x
Step-by-step explanation:
If the sum of two binomials is 9x²-4x, and we know that one of them is 3x²-2x, we must subtract 3x²-2x from 9x²-4x to find the second binomial.
9x²-4x-3x²-2x
Combine like terms
6x²-6x
Which is true regarding the graphed function f(x)?
f(Ο) =3
f(5) = -1
f(3) =2
f(2) = -2
Answer:
Step-by-step explanation:
cant seee the pic
Look at pic plzzzzzz
Answer: 10.35 miles per hour
Step-by-step explanation:
[tex]\dfrac{63,756\ feet}{70\ minutes}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ minutes}{1\ hour}=\dfrac{(63,756)(60)\ miles}{(70)(5280)\ hour}=\dfrac{10.35\ miles}{hour}[/tex]
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Cindy is facing South through how many degrees should she turn clockwise to face East? a. 90° b. 180° c. 270° d. 360° e. Other:
Answer:
90°
Step-by-step explanation:
because from south to east is half of north which makes it 90°
If you were given the area of a figure and told that all the dimensions of the figure would be cut in half, how could you find the area of the new similar figure?
Multiply the area of the original figure by 4.
Divide the area of the original figure by 1/2 .
Multiply the area of the original figure by 1/2 .
Divide the area of the original figure by 4.
Answer:
multiply the area of the original by 1/2
Step-by-step explanation:
when cutting a shape in half, its area is also halved, but not all dimensions change
Answer:
Divide the area of the original figure by 4.
Step-by-step explanation:
Area of current figure:
A= abArea of new figure:
A'= 1/2a*1/2b= 1/4ab= 1/4ASo the area of the original figure to be divided by 4
Last answer option is correct82.8cm measured to the nearest tenth of a cm
Answer:
The answer is already 82.8
Step-by-step explanation:
The .8 is already to the tenth so it is 82.8
Answer: 83.0
Step-by-step explanation:
This is the answer because if you round it to a tenth it is 83.0 and it is closest to a cm
A box of oranges weighs 4 kg. If one orange weighs 80 g, how many oranges are in the box?
Answer:
50 oranges
Step-by-step explanation:
Convert the measurements for them to be the same ie 4kg to g
1kg=1000g. 4kgx1000=4000g
4000g is the mass of all oranges
1 orange=80g
? =4000g that is 4000/80
=50 oranges
Answer:
50 oranges
Step-by-step explanation:
Since each orange is measured in grams, we convert the 4 kg to g to start.
4 kg is equal to 4000 g.
Each orange weighs 80 g, so we divide 80g into 4000g.
80 divided by 4000 equals 50.
50 oranges are in the box.
I Hope This Helps!
Solve the system of linear equations by graphing.
2x + 3y = 16.9
5x = y + 7.4
What is the solution to the system of linear equations? Round to the nearest tenth as needed.
(
,
)
Answer:
The solution is shown in the graph.
x= 2.3
y= 4.3
Answer: x = 2.3 y = 4.1
Step-by-step explanation: I got it right on edge2020 y IS NOT 4.3 IT IS 4.1.
Please help! Correct answer only!
At a carnival, there is a game where you can draw one of 20 balls from a bucket. The balls are numbered from 1 to 20. If the number on the ball is odd, you win $31. If the number on the ball is even, you win nothing. If you play the game, what is the expected payoff?
$____
Answer:
Expected Payoff ⇒ $ 15.5 ; Type in 15.5
Step-by-step explanation:
Considering that all odd out of the 20 numbers will have a probability of winning a 31 dollar prize, take a proportionality into account;
[tex]20 - Total Number of Balls,\\1 - 20 - Numbering of Balls,\\Even = Odd, Between 1 - 20, Knowing 20 - Even,\\\\10 / 20 - Odd,\\10 / 20 - Even,\\1 / 2 - Probability of Choosing an Odd Ball,\\\\Proportionality - 1 / 2 = x / 31, where x = " Expected Payoff ",\\1 / 2 = x / 31 - Cross Multiply,\\2x = 31,\\\\Conclusion ; x = 15.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 15.5
A tennis ball is launched from the ground and follows a parabolic path represented by the equation y=−x2+7x, where x=seconds.At the same time, an arrow is shot from a height of 18 feet and follows a straight path represented by the equation y=−5x+25.Using your graphing calculator, when will the arrow pierce the tennis ball and a what height off of the ground?
Divide 8848 by 16(Show working)
Answer:
553
Step-by-step explanation:
5 5 3
---------------------
16 / 8 8 4 8
8 0
---------------
8 4
8 0
----------------
4 8
4 8
-----------
0
The quotient is 553.
4 8
----------
0
The chart below shows the prices at different stores for bags of chips. Store A has 2 for $4 Store B has 3 for $5 Store C has 5 for 8$ and Store D has $1.25 each At what store will it be the least expensive to buy 30 bags of chips?
First, tell whether each decimal is a fraction or a mixed number.
Then, write it in simplest form. 0.85
Answer:
Proper fraction.
Step-by-step explanation:
[tex] \frac{85}{100} \\ \\ simplify to= \frac{17}{20} [/tex]
find the volume with the explanation if possible <3
Answer: 905 cu. in.
Step-by-step explanation:
volume = (4/3) * π * r³
= (4/3) * π * 216
20 points someone who actually knows what they doing lol❤️
Answer:
77°
Step-by-step explanation:
We can use: [tex](c*9/5)+32=f[/tex] to convert Celsius to Fahrenheit.
'c' - Celsius
'f' - Fahrenheit
Replace 'c' with 25:
[tex](25*9/5)+32=f\\45+32=f\\\boxed {77 = f}[/tex]
25° Celsius is 77° Fahrenheit.
Answer:
77
Step-by-step explanation:
1/2(12k-6) i don't know what this answer is!!!
Answer:
6k-3 or 3(2k-1)
Step-by-step explanation:
First, you need to multiply 1/2 by both the numbers in the parentheses
1/2(12k-6)=
(1/2)(12k)+(1/2)(-6)Then, you need to simplify your answer
6k-3*If needed, you can simplify further by taking out a factor of 3
3(2k-1)Answer:
[tex]3(2k-1)[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}(12k-6)[/tex]
Expand the bracket by multiplying by 1/2:
[tex]6k-3[/tex]
Simplify further by taking out a factor of 3:
[tex]3(2k-1)[/tex]
Tony wants to put $318,000 in his retirement savings account. It earns an interest rate of 7.1% compounded quarterly. He wants to determine how much he will have in the account after 5 years, even if he makes no additional contributions or withdrawals to the account
A. $448099.52
B. $347242.34
C. $452115.44
D. $341186.28
which answer correct
Answer:
C. $452115.44
Step-by-step explanation:
To solve this, we will follow the steps below;
first write down the formula for compound interest
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
where A is the ending amount
P represent the principal
r represent the interest rate
n represent the number of compounding a year
t represent the time {in years)
from he question above
p= $318 000
r = 0.071
n = 4 since is quarterly
t= 5
we can now proceed to insert the values into the formula
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
=318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^4(5)
= $318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^20
=$318 000 [1+0.01775] ^20
= $318 000 [1.01775] ^20
=$318 000× 1.421747
≈$452 115.44
He will have $452 115.44 in the account
Find the next three terms in the geometric sequence: 72, 36, 18,... (sorry for bothering a lot)
Answer:
18 / 2 = 9
9 / 2 = 4.5
4.5 / 2 = 2.25
The next three terms are 9,4.5,2.25
Hope this helps
Step-by-step explanation:
Which of the following statements is true of the Alien and Sedition Acts?
They were designed to keep immigrants and the French in power.
They encouraged Americans to speak out against the government.
They were supported by Federalists and not by Democratic-Republicans.
Answer:
C (the last one)
Step-by-step explanation:
The Alien and Sedition Acts were a series of four laws passed by the U.S. Congress in 1798 amid widespread fear that war with France was imminent. The four laws–which remain controversial to this day–restricted the activities of foreign residents in the country and limited freedom of speech and of the press. Also, The Alien and Sedition Acts were four laws passed by the Federalist-dominated 5th United States Congress and signed into law by President John Adams in 1798. Seeing this, the last on is the only reasonable one.
Hope this helps!!!!
Answer:
They were supported by Federalists and not by Democratic-Republicans.
Step-by-step explanation:
I took the edge 2021 test
BRAILIEST?
Use the properties of exponents to determine the value of aa for the equation: Screenshot is below
Answer:
a = -9/20
Step-by-step explanation:
We can evaluate what’s on the left hand side of the equation to get what a is.
The numerator can be expressed as x^(4/5)
The denominator is x^5/4
we use the law of indices to finish this off
That would be;
x^(4/5) ÷ x^(5/4)
Using the second law of indices;
x^(4/5-5/4) = x^-9/20
Since the bases are now equal, then we equate the powers
Thus a = -9/20
PLEASE HELP I need the answer for this ASAP pleaseeeee
Answer:
13
Step-by-step explanation:
[tex]f(x) = 5 \sqrt{x} + 8 \\ f(1) = 5 \sqrt{1} + 8 \\13[/tex]
Hope this helps..
pencils are sold in boxes of 10
erasers are sold in boxes of 14
A teacher wants to but the same number of pencils and erasers.
work out the smallest number of boxes of each item she should by.
Pencils:
Erasers:
Answer:
Pencils: 7 boxes
Erasers: 5 boxes
Step-by-step explanation:
She should buy 70 pencils and 70 erasers.
There are 7 pencil boxes for 70 pencils.
There are 5 eraser boxes for 70 erasers.
These are the smallest number of boxes she can buy without getting a fraction of a box.