Test value for a test of the difference between these two population proportions would be 2.44
What is Proportion?
A proportion in math is when two ratios are equivalent, that means they are equal to each other.
To calculate the test value for the difference between the two population proportions, you will need to first calculate the sample proportions for each group.
The sample proportion for the group of students attending 2-year colleges is 105/300 = 0.35.
The sample proportion for the group of students attending 4-year universities is 20/225 = 0.089.
Next, you can use these sample proportions to calculate the test value using the following formula:
test value = [tex]\frac{p1-p2}{\sqrt{[(p1(1-p1)/n1) + (p2(1-p2)/n2)]} }[/tex]
where p1 is the sample proportion for the first group, p2 is the sample proportion for the second group, n1 is the sample size for the first group, and n2 is the sample size for the second group.
Plugging in the values from the problem, we get:
test value = [tex]\frac{(0.35 - 0.089)}{\sqrt{[(0.35(1-0.35)/300) + (0.089(1-0.089)/225)]} }[/tex]
Simplifying this expression gives us a test value of approximately 2.44. This is the test value for the difference between the two population proportions.
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prime factorization of 154
Answer:
The prime factors of 154 are 2, 7, 11.
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
[tex]154 = 2 \times 7 \times 11[/tex]
Lisa is planning to paint her house over the weekend. She paints 1/3 of a room in an hour. How many rooms will she paint in 6 hours? Solve fraction
Answer:
2
Step-by-step explanation:
Lisa paints 1/3 of the room in an hour
Therefore the number of rooms she will paint in 6 hours can be calculated as follows
1 hour= 1/3
6 hours= x
Cross multiply
x= 1/3 ×6
= 2
Hence 2 rooms can be painted in 6 hours
how to solve this? Is the question correct? ty :)
Answer:
The proposition is true.
Step-by-step explanation:
Now we proceed to demostrate that expression given is true by algebraic means:
1) [tex]\frac{x^{-1}+y^{-1}}{x^{-1}}+\frac{x^{-1}-y^{-1} }{y^{-1}}[/tex] Given
2) [tex]\frac{y^{-1}\cdot (x^{-1}+y^{-1})+x^{-1}\cdot (x^{-1}-y^{-1})}{x^{-1}\cdot y^{-1}}[/tex] [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]
3) [tex]\frac{x^{-1}\cdot y^{-1}+y^{-2}+x^{-2}-x^{-1}\cdot y^{-1}}{x^{-1}\cdot y^{-1}}[/tex] Distributive property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
4) [tex]\frac{x^{-2}+y^{-2}}{(x\cdot y)^{-1}}[/tex] Commutative, associative and modulative properties/Existence of additive inverse/[tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]
5) [tex][(x\cdot y)^{-1}]^{-1}\cdot (x^{-2}+y^{-2})[/tex] Commutative property/Definition of division
6) [tex](x\cdot y)\cdot (x^{-2}+y^{-2})[/tex] [tex](x^{-1})^{-1}[/tex]
7) [tex]x^{-1}\cdot y + x\cdot y^{-1}[/tex] Distributive property/Associative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
8) [tex](x^{-1}\cdot y^{-1})\cdot y^{2} + (x^{-1}\cdot y^{-1})\cdot x^{2}[/tex] Modulative property/Existence of additive inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
9) [tex](x^{-1}\cdot y^{-1})\cdot (x^{2}+y^{2})[/tex] Distributive property
10) [tex](x\cdot y)^{-1}\cdot (x^{2}+y^{2})[/tex] [tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]
11) [tex]\frac{x^{2}+y^{2}}{x\cdot y}[/tex] Commutative property/Definition of division/Result
Please solve no need for explanation
Answer:
I am not sure
Step-by-step explanation:
But I think I know
Answer:
Step-by-step explanation:
n=0
w=3120
i=[tex]\sqrt 2[/tex]
q=[tex]\frac{-6}{7}[/tex]
r=5.123456...
Which of the following inequalities defines the graph below
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the area of this tile? 10 in 8 in. 6 in.
Answer:
i think 24
Step-by-step explanation:
1/2 H x B
6 x 8 =48 1/2 is 24
The area of the tile is 24 square in.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The tile is in the shape of right triangle.
The sides of triangle are 10 in, 8 in, 6 in.
Here, Base of the triangle,b = 6 in
Height of the triangle,h = 8 in
The formula of area of triangle is
[tex]Area = \frac{1}{2}(base) (height)[/tex]
⇒ [tex]A=\frac{1}{2}(6)(8)[/tex]
⇒ [tex]A=24[/tex]
Hence we can conclude that the area of the tile is 24 square in.
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Amy works 15 hours a week at the movie theater. She earns $8 an hour. What statement is true about her weekly income? A) Her net income is more than $120. B) Her gross income is less than $120. C) Her net income is less than $120. D) Her gross income is more than $120.
Answer: Her net income is less than $120.
Step-by-step explanation:
Based on the information given, the gross income for Amy will be:
= 15 × $8
= $120
Net income is the income that an individual has left after tax and every other necessary deductions have been removed. Therefore when this is done, the net income for Amy will be less than $120
Help with 2 3 4 and 5 please!
Answer:
Number 2 is A
Number 3 is (5, -4)
Number 4 is (5, -4)
Number 5 is (4, 2)
Step-by-step explanation:
Answer:
B, maybe (5,-4), (5,-4), (4,2)
Step-by-step explanation:
Translate just means to move, and vertex T just means the dot labeled "T". Move just that point three to he left and two to the right is (-5,0). I would give (5,-4) as the answer for three, but I'm not too sure and don't wanna spread false information... onto number 4. (3,1) and the form is (x,y) Right is positive, so ADD 2 to 3. Down is negative, so SUBTRACT 5 to 1. You now have (5,-4). 2 multiplied by 2 is 4 and 1 multiplied by 2 is 2. (4,2)
To the nearest inch, what is the area of a circle with a radius of 6 centimeters? EZ FREE POINTS
Answer:
36 pi or 113.04 cm squared
Step-by-step explanation:
Answer:
A≈113.1cm²
Step-by-step explanation:
At least pet snake is 42 inches long and Royals pet snake is 8 feet long.How many inches longer is Royals snake
Answer:
54 inches
Step-by-step explanation:
At least pet snake is 42 inches long and Royals pet snake is 8 feet long.How many inches longer is Royals snake
Step 1
We would be converting the length of the Royal's pet snake to inches
1 foot = 12 inches
8 feet = x
Cross Multiply
x = 8 × 12 inches
x = 96 inches
Step 2
How many inches longer is Royal's snake?
This is calculated by subtracting the length of the Royal's pet snake from the least length
= 96 inches - 42 inches
= 54 inches
Therefore, the Royal's snake is 54 inches longer
worth 70 points PLZ HELLLLLLLLLLP
Four expressions are shown:
6(5x + 3)
6(6x + 2)
36x + 12
30x + 18
Which two expressions are equivalent to 6(5x + 2 + x)?
Answer:
B 6(6x + 2)
C 36x + 12
Step-by-step explanation:
I just did this question myself and I got it correct.
I need help with this question ( see image). Please show workings.
Answer:
14) (C) 8√2 km
15) (C) 225°
Exercise 15.17 (D) 8.7 km
Step-by-step explanation:
14)
d² = 8² + 8² = 64 + 64 = 128
d = √128 = 8√2 km
15) 180° + 45° = 225°
Exercise 15.17
QR² = 10² - 5² = 100 - 25 = 75
QR = √75 = 5√3 = 8.7 km
Answer:
Kofi, the building and the tree form an isosceles right triangle KTB.
Refer to picture
15.15The distance KB is the hypotenuse and its length is:
KB = √8² + 8² = √64 + 64 = √128 = 8√2Correct choice is C
15.16The angles at vertices K and B equal to 45° as opposite sides are equal.
TB is a vertical line which makes angle 180°.
Add 45° to get a required bearing:
180°+ 45° = 225°Correct choice is C
15.17P, Q and R form a right triangle with PR as hypotenuse.
RQ is the missing leg and its length is:
RQ = √PR² - PQ² = √10² - 5² = √100-25 = √75 = 8.7 (rounded)Correct choice is D
Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
Angle x is what I call "point to point" with the angle that measures 95 degrees. Because of this, they are vertical (the vertex of an angle makes a "v"; hence, the reason I call them point to point). Vertical angles are congruent. That means that they have the same measure. If x is vertical to an angle that measures 95 degrees, then x also measures 95 degrees.
Answer:
x is 95 degrees.
Step-by-step explanation:
HELP PLEASEEEEE I'll give you a crown
Answer:
8.64%
Step-by-step explanation:
Write it as a decimal
7/81 = 0.0864
0.0864 is the decimal representation for 7/81
For Percentage Conversion :
step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction
Fraction = 0.0864/1
step 2 multiply 100 to both numerator & denominator
(0.0864 x 100)/(1 x 100) = 8.64/100
8.64% is the percentage representation for 7/81
Which is the most accurate way to estimate 26% of 91?
A: 3/4 x 92
B: 1/4 x 92
C: 1/3 x 90
D: 1/2 x 90
Answer:
B
Step-by-step explanation:
26% is close to 25%, which is equal to 1/4th.
You're adding to the number and removing from the percentage so it balances it out.
The estimation of 26% of 91 is 1/4 x 92.
The correct option is (B).
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
26% of 91
Now solving the above Quantity
= 26 /100 x 91
Now, We take 1 from 26 make it 25 and add that 1 to 91 make 92.
Then, 25 / 100 x 92
= 1/4 x 92
Hence, the estimation is 1/4 x 952.
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Caleb has at least $5. Which inequality is correct?
c < 5
or
c < 5
Answer:
It would be c is greater than or equal to five
Step-by-step explanation:
c≥5
5≤c
What is 92 - (12 + 16) ÷ 4? I keep re-doing my math for it, but when I check it with a calculator I'm always wrong.
Answer:
85
Step-by-step explanation:
92 - (12 + 16) ÷ 4
PEMDAS states we do the equation in the paranthesis 1st
92 - (28) ÷ 4
PEMDAS states we do division next
92 - 7
85
HURRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Please help, solve for x
Answer:
x = 6
Step-by-step explanation:
10x = 5 x 12 = 60
x = 6
What is the value of x in 7x-18
Answer:
x = 21
Step-by-step explanation:
Although the picture is a bit blurry towards the bottom, I believe the opposite exterior angle is 129°
Opposite exterior angles are equivalent by the opposite exterior angles postulate. Of course, this only applies if the transversed lines are parallel, which they are in this case, because of the small orange arrows.
Anyhow, the equation should be set up as follows:
[tex]129 = 7x-18\\129 + 18 = 7x - 18 +18\\147 = 7x\\21=x[/tex]
Have a nice day, fam. Spread The Love.
How Roses Got Their Thorns.
Many years ago ,in the land of Lucia, there was a beautiful queen named —————. Queen —————lived in a century old castle surrounded by a forest on the north side,a maze on the east side, a fountain on the west side and a rose garden on the south side. Her private living quarters had a large window facing the south. Each morning she would start her day by opening her window to the sweet aroma coming from her rose garden. She had a special servant whose only job was to care for her roses. Queen ———- rose garden was her favorite place and every day she would spend time there relaxing and caring for her lovely blooms. Her garden was world famous and people came from miles around to visit and enjoy their beauty and lovely fragrance.
One day she notice there were fewer blooms than usual and she became concerned. She thought her servant was not doing his job,so she obtained a new gardener. The blooms continued to disappear and then she noticed that plants were starting to disappear. Finally, she had some of her servants start guarding the roses. They discovered that the visitors were picking and digging up her roses. She loved sharing the beauty of her garden with her subjects but she had to find a way to protect her roses . Several attempts were tried to protect the. She had a fence built,but the people knocked it down. She had a wall built but they climbed over it. She put guards around but the guards could not be everywhere and the people continued to take her roses . Finally, she sought the advice the local wizard . His solution was to put a curse on the roses. Queen———-agreed to a curse as long as it did not affect the aroma or the beauty of them Beginning that day the loveliest of flowers started growing thorns and still do. P
Answer:
Queen Marie Antoinette
PLEASE PLEASE HELP!! I NEED THE ANSWERS ASAP
Answer:
Pictures below showing the answer :)
Step-by-step explanation:
Use this picture to name one pair of VERTICAL angles
Answer:
YOU LAIR HOW COULD YOU
Step-by-step explanation:
Answer:
1 and 6
Step-by-step explanation:
Which pictures below show pure substances?
 ?!!!!!!!!!!!!!!!!!!!!!!!
Please I need help!! Please anyone that sees this could you please help me. I don't understand it.
9514 1404 393
Answer:
M = (0, 0), which IS the origin
Step-by-step explanation:
The midpoint is given by the formula ...
M = (A + B)/2
M = ((4, -6) +(-4, 6))/2 = (4-4, -6+6)/2 = (0, 0)/2
M = (0, 0) . . . . . IS the origin
COME ON LASTTT ONESSSSSSSSSSSSSSS
Answer:
Answer
Correct option is
D
all of the above
For any two rational numbers a and b,
(a+b),(a−b),(b−a) & (a×b) are all rational numbers.
Thus, rational numbers are closed under addition, subtraction and multiplication.(for the first one)
Answer:
The sum of x and y is a rational number
Step-by-step explanation:
X+Y or 5+7=12
A rational number is any number that can be divided without going on and on forever. ( for the 2nd one)
Solve the compound inequality and give your answer in interval notation
4x-4 < -36 OR -2x-1 ≤ -7
Answer:
(-∞, -8) U [3, ∞)
Step-by-step explanation:
4x - 4 < -36 OR -2x -1 ≤ -7
4x < -32 OR -2x ≤ -6
x < -8 OR x ≥ 3 *divide by a negative, switch inequality
(-∞, -8) U [3, ∞)
PLEASE HELP!!!!! WORTH 40 POINTS
Answer:
B : 3/2
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
answer is B. i think so...
[tex] \frac{54}{36} = \frac{3}{2} [/tex]
have a nice day
Please help me with this it was due yesterday.
Answer:
domain= infinity on both sides. range= -3<y<infinity
Step-by-step explanation:
hope this helps
Have a nice day :)