Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 114[/tex]
The sample mean is [tex]\= x_1 = 2.71[/tex]
The standard deviation is [tex]s_1 = 0.64[/tex]
The second sample size is [tex]n_2 = 123 [/tex]
The sample mean is [tex]\= x_2 = 2.79[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The standard deviation is [tex]s_2 = 0.56 [/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu _2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test hypothesis is mathematically represented as
[tex]t = \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} } }[/tex]
=> [tex]t = \frac{2.71 - 2.79}{ \sqrt{ \frac{0.64^2 }{ 114} + \frac{0.56^2}{123} } }[/tex]
=> [tex]t = -1.01 [/tex]
Generally given that variance are not equal (the standard deviation squared of both population are not equal ) the degree of freedom is mathematically represented as
[tex]df = \frac{[\frac{s_1^2}{n_1 } + \frac{s_2^2}{n_2} ]}{\frac{[\frac{s_1^2}{n_1}]^2 }{n_1 - 1} + \frac{[\frac{s_2^2}{n_2}]^2 }{n_2 - 1}}[/tex]
=> [tex]df = \frac{[\frac{0.64^2}{114} + \frac{0.56^2}{123} ]}{\frac{[\frac{0.64^2}{114}]^2 }{114 - 1} + \frac{[\frac{0.56^2}{123}]^2 }{123 - 1}}[/tex]
=> [tex]df = 225[/tex]
Generally from the t distribution table the the probability of (t < -1.01) at a degree of freedom of [tex]df = 225[/tex]is
[tex] p-value = P(t < -1.01 ) = 0.15679[/tex]
Generally the value obtained we see that [tex]p-value > \alpha[/tex] so
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote
Find the midpoint of the segment with the following endpoints. (6, 4) and (9, 1)
Answer:
[tex](\frac{15}{2},\frac{5}{2})[/tex]
Hope this helps!
Which of the following Geometric Objects are defined? Select ALL that apply.
Answer:
[]line
[]plane
[]line segment
BRAIN MEH
Menu
BBQ Chicken Platter: $11.99
Sirloin Steak Fajitas: $14.99
Vegetarian Fajitas: $7.99
Shrimp Tacos: $8.59
Your family is going to their favorite restaurant this evening. Both your parents order the sirloin steak fajitas. Your little brother and sister are going to split the BBQ chicken platter. You order the shrimp tacos. What is the total bill for the family?
Answer:
$50.56
Step-by-step explanation:
First- Calculate the number of dishes ordered and their prices-
Parents order-
Sirloin Steak Fajitas: $14.99 x 2
Little Sister and little brother-
BBQ Chicken Platter: $11.99
Your order-
Shrimp Tacos: $8.59
Add the amount-
14.99 + 14.99 + 11.99 + 8.59 = 50.56
Total bill 50.56
PLZ HELP WILL GIVE BRAINLYIST
Answer:
400 40
Step-by-step explanation:
What is the measure of the missing angle?
36°
57°
Answer:
7767788877787887+-77-7
Question 2: A researcher plans to examine what butterfly species are present in one acre of prairie land in Alberta, Canada. The data will be collected as a list of the Latin name for the species. This data can be considered: * qualitative nominal qualitative ordinal quantitative discrete quantitative continuous
Answer:
qualitative nominal
Step-by-step explanation:
The data collected while examining the species of butterflies present in a particular area which are represented using Latin names is a non-numeric data type is aimed at separating or making distinction among the species available. These types of data used in classification are called Qualitative variables.
Also, the data is nominal and not ordinal, this is because there is no sort of order or ranking in the groups or species names. Qualitative variables in which does not posses ordering or ranking in the categories are represented on the nominal scale. Whose which implies order or rank are represented on the ordinal scale.
HELPPPPPP
Giving that you already know what your grades are on your report card. Please write 1 paragraph on how you would like to improve your grade in math and what steps you plan to take to do so.
my grades are A's and B's and one C. my grade in her class is a B!! help me!!!!
Answer:
I would study more, dedicate more time. I would NOT give up at all. Take constant breaks to reset your brain. Do practice problems and more.
Step-by-step explanation:
If peter drove for 9 hours at an average speed of 63 miles per hour, how far did he drive?
Answer:
567 miles
Step-by-step explanation:
9 hours x 63 miles per hour = 567 miles total
HELP PLEASE!!!! WILL MARK BRAINLIEST, AND FRIEND REQUEST!!!!
which expression represents a rational number
5/9 + [tex]\sqrt{18}[/tex]
[tex]\pi + \sqrt{16}[/tex]
2/7+ [tex]\sqrt{121}[/tex]
3/10 + [tex]\sqrt{11}[/tex]
Answer:
hmm easy peasy
Step-by-step explanation:
C
C is the only answer with the square root thats a whole number while the rest of the answers ' square roots are not whole number answers and the numbers after the decimal go on forever making it an irrational number. Also, for B, pi is not a rational number.
The coordinates of point T are (0,6). The midpoint of ST is (4.-6). Find the coordinates
point S.
Answer:
The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].
Step-by-step explanation:
Let [tex]T(x, y) = (0, 6)[/tex] and [tex]M(x,y) = (4,-6)[/tex], which is the midpoint of line segment ST. From Linear Algebra we get that midpoint is the following vector sum of endpoints S and T. That is:
[tex]M(x,y) = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot T(x,y)[/tex] (Eq. 1)
Now clear S in the previous expression:
[tex]S(x,y) = 2\cdot M(x,y) - T(x,y)[/tex] (Eq. 1b)
Then, the coordinates of point S are:
[tex]S(x,y) = 2\cdot (4,-6) - (0,6)[/tex]
[tex]S(x,y) = (8, -18)[/tex]
The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].
"The intersection of two planes is a line" is a statement that is generally accepted as true, but
cannot be proven to be true. What type of statement is this?
1. defined
2. undefined
3. postulate
4. proof
A postulate is something that is assumed to be true and there isn't a proof for it as its something foundational to help set up further proofs later down the road. Another example of a postulate is that a line is defined by two distinct points.
How many 2/3 cup servings are in 28/3 cups of yogurt
The answer fam is..... 14
I need help nowwwwww !!!!!????
you should just have to times the yards by three like the second one is 12
2x + y = 15
Whats the slope
Answer:
-2
Step-by-step explanation:
Y = mx+c
M here being the number in front of x
HELP ASAP
What is the value of x?
O x = 55°
O x = 60°
O x = 70°
O x = 110°
Answer:
the answer is the answer the answer is x=55 degrees because the angle sum for a triangle is 180 degrees and because we are told angle A and angle C are congruent that means you can simply take 180 - 70 to get 110 and i simply divided that by 2 and got 55 degrees
Step-by-step explanation:
raphael takes 15 pages of notes during math class. Then he takes 35 pages of notes during 14 hours of math class. How many pages of notes would raphael expect to take during 3 hours of math class?
Answer:
Raphael will take 7.5 pages of notes during 3 hours of math class.
Step-by-step explanation:
Given;
35 pages were taken during 14 hours maths class
how many pages of math would Raphael take during 3 hours maths class ?
14 hours --------------35 pages
3 hours --------------- ?
= (3 x 35) / 14
= 7.5 pages
Therefore, Raphael will take 7.5 pages of notes during 3 hours of math class.
A meteorologist is monitoring the atmospheric pressure as his height above sea level varies. The meteorologist determines that the atmospheric pressure decreases by 12% for each additional kilometer the city is above sea level. The atmospheric pressure at sea level is 103 kPa (kilopascals). Define a function, p , that determines the atmospheric pressure (in kPA) in terms of the number of kilometers the city is above sea level, n .
Answer:
The function [tex]p(n)[/tex] is represented by [tex]p(n) = 103\cdot (0.88)^{n}[/tex].
Step-by-step explanation:
Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:
[tex]p(n) = p_{o}\cdot r^{n}[/tex] (Eq. 1)
Where:
[tex]p_{o}[/tex] - Atmospheric pressure at sea level, measured in kilopascals.
[tex]r[/tex] -Atmospheric pressure decrease rate, dimensionless.
[tex]n[/tex] - Height above sea level, measured in kilometers.
[tex]p(n)[/tex] - Current pressure, measured in kilopascals.
If we know that [tex]p_{o} = 103\,kPa[/tex] and [tex]r = 0.88[/tex], the function [tex]p(n)[/tex] is represented by:
[tex]p(n) = 103\cdot (0.88)^{n}[/tex]
Teresa babysits for her neighbors. She charges $13 for the first hour and $10 for each additional hour. Write a rule for the total amount of money she charges, T, based on the number of hours she babysits, H. Angela also babysits for her neighbors. She charges $11 per hour. Which babysitter, Teresa or Angela, will charge less to babysit for 2 hours? 3 hours? 4 hours? Show evidence for your answers.
Answer:
13 + 10 + 10= 23, 33
11 + 11 + 11 = 22, 33
Angela is cheaper for two
Same price for 3
Teresa is cheaper for 4
Step-by-step explanation:
You should choose who you want by the hours you will be gone knowing who is more and less
Please help me everyone!
In Kennington, 25 legislators represent 500,000 people.
Kennington has 2,500,000 people. How much legislators do they need?
Please help, I repeat.
[tex]\huge\boxed{125.}[/tex]
[tex]\boxed{-------------------------------------}[/tex]
Explanation...
So, 25 legislators represents 500,000 people.
We are trying to find how much legislators you need to represent 2,500,000.
500,000*5=2,500,000.
25*5=125.
Therefore, your answer is 125.
[tex]\boxed{-------------------------------------}[/tex]
Hope i helped!
[tex]\huge\boxed{Thanks,Plip.}[/tex]
Answer: 125
In Kennington, 25 legislators represent 500,000 people.
Find how many times 500,000 go into 2,500,000 people.
2,500,000 ÷ 500,000 = 5
Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.
25 x 5 = 125.
Answer = 125.
Hope this helps you!
Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.
PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34
PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than
the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.
Answer:
[tex]x = 24[/tex]
24 is less than 35
Step-by-step explanation:
Given
Jacob: 2000x + 3000
Carlos: 3800x - 40000
Solving (a):
To solve (a), we need to equate both expressions;
[tex]3800x - 40000 = 2000x + 3000[/tex]
Collect Like Terms
[tex]3800x - 2000x = 40000 + 3000[/tex]
[tex]1800x = 43000[/tex]
Solve for x
[tex]x = 43000/1800[/tex]
[tex]x = 24[/tex] --- Approximated
Solving (b);
The manager's prediction is 35 hours.
And the actual hours is 24.
By comparison;
24 is less than 35
F(t) = 1,500(1.045)^t
The future value, F(t), of an investment after t years is given by the function defined above.
What is the initial value of the investment?
Answer: F(t)=1500
Step-by-step explanation:
hope this helps
The initial value of the investment in the given function is 1500.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,
[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]
where A is the final amount
P is the principal amount
r is the rate of interest
n is the number of times interest is charged in a year
t is the number of years
Given that the future value, [tex]F(t) = 1,500(1.045)^t,[/tex] of an investment after t years is given by the function defined above. Therefore, the initial value of the investment in the given function is 1500.
Learn more about Compound Interest:
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i will KISS U ON THE MOUTH IF U HURRY PLS HELP find the derivative dy/dx for y=(x^2+4x) / (x^3-5)
Use the quotient rule:
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^3-5)\frac{\mathrm d(x^2+4x)}{\mathrm dx}-(x^2+4x)\frac{\mathrm d(x^3-5)}{\mathrm dx}}{(x^3-5)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(2x+4)(x^3-5)-3x^2(x^2-4x)}{(x^3-5)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{x^4 - 16 x^3 + 10 x + 20}{(x^3-5)^2}[/tex]
Coca-Cola bottling company makes both glass and aluminum containers for their soda. The bottle machine is able to produce 2100 bottles every 6 hours. How many more bottles could they make in 8 hours that they can in 6 hour?
Group of answer choices
Cindy is three years older than her brother and 8 years older than her sister. If the sum of
their ages is 25 years, how old is Cindy now?
Answer:
She is 12 years old
12-3=9
12-8=4
12+9+4=25
What is the approximate
area of a circle with a diameter of 7?
Answer:
38.48
Step-by-step explanation:
colleen is searching online for tickets two weeks ago the cost to fly from orlando to hartford was 200$ . Now the cost is 335$ what is the percent increase what would be the percent increase if the airline charges an additional $50 baggage fee with the new price. the percent increase of the airline ticket is...... and i will give a brainlest to the best
The percentage increase for flight tickets to fly from orlando to hartford would be = 67.5% and 92.5% when there is an additional $50 to the new price.
What is percentage Increase?Percentage increase is defined as the rise in the quantity or amount for an object which is converted into percentage.
The formula for percentage increase would be = increase ÷ original amount × 100
The increase of the cost = 335 - 200 = $135
The original amount = $200
The percentage increase = 135/200 × 100
= 13500/200 = 67.5%
But if the increase in cost is 135 + 50 = $185
The percentage increase of the new cost would be;
= 185/200 ×100
= 18500/200
= 92.5%
Learn more about percentage here:
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si compro una camisa de 100 pesos con el 10% de descuento cuanto tengo que pagar en total
Answer:
$90
Step-by-step explanation:
10% de 100 es 10; 100-10=90
Answer:
90 pesos
Step-by-step explanation:
10% de 100 es 10. Resta esos 10 pesos de los 100, y te da tu resultado de 90 pesos.
Si necesitas que te lo explique mas, dime y te ayudare :)
The Carousel at Carowinds has 4 rings of horses. Fred is riding on the inner ring, which has a radius of 7 feet. Juan is riding on the outer ring, which is 10 feet farther out from the center than the inner ring is. In one rotation of the carousel, how much farther does Juan travel than Fred? Use 3.14 for .
Answer:
Juan travel 31.4 feet farther than Fred in one rotation.
Step-by-step explanation:
In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:
[tex]s=\theta \cdot r[/tex] (Eq. 1)
Where:
[tex]r[/tex] - Radius, measured in feet.
[tex]\theta[/tex] - Angular arch, measured in radians.
[tex]s[/tex] - Change in linear position, measured in feet.
If both makes one rotation in the carousel, we obtain the change in linear position of each player:
Fred ([tex]r = 7\,ft[/tex], [tex]\theta = 2\pi[/tex])
[tex]s= 2\pi\cdot (7\,ft)[/tex]
[tex]s = (3.14)\cdot (7\,ft)[/tex]
[tex]s = 21.98\,ft[/tex]
Juan ([tex]r = 17\,ft[/tex], [tex]\theta = 2\pi[/tex])
[tex]s= 2\pi\cdot (17\,ft)[/tex]
[tex]s = (3.14)\cdot (17\,ft)[/tex]
[tex]s = 53.38\,ft[/tex]
And the difference between both travelled distances is:
[tex]\Delta s = 53.38\,ft-21.98\,ft[/tex]
[tex]\Delta s = 31.4\,ft[/tex]
Juan travel 31.4 feet farther than Fred in one rotation.
1,032 divided by 10 to the 4th power
Answer:
0.1032
Step-by-step explanation:
Answer:
25000
Step-by-step explanation:
10x10=100
100x10=1000
1000x10=10000
10000x10=100000
100000 divied by 4= 25000
find the value of x. PLEASE HELP!!!!
The answer is 8 - but I need to show my work.
Thanks so much
Answer:
Step-by-step explanation:
Because of the right angle (90 deg) in red, and the horizontal line on the bottom axis,
we know that :
49 + (1+5x) = 90
solving for x delivers x=8
