Answer:
the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492
And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688
Step-by-step explanation:
Given the data in the question;
mean X" = 86
SD σx = 10
Y" = 76
SD σy = 8.2
r = 0.6
Here, Exam 2 is dependent and Exam 1 is independent.
The Regression equation is
y - Y" = r × σy/σx ( x - x" )
we substitute
y - 76 = 0.6 × 8.2/10 ( x - 86 )
y - 76 = 0.492( x - 86 )
y - 76 = 0.492x - 42.312
y = 0.492x - 42.312 + 76
y = 0.492x + 33.688
Hence, the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492
And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688
solve for x in the equation 5x-4=2x+20
The solution to the equation 5x - 4 = 2x + 20 is x = 8 which can be determined by simplification process.
To solve for x in the equation 5x - 4 = 2x + 20, we can follow these steps:
Start by isolating the x terms on one side of the equation. We can do this by subtracting 2x from both sides:
(5x - 2x) - 4 = (2x - 2x) + 20]
Simplifying:
3x - 4 = 20
Next, isolate the constant term on the opposite side of the equation by adding 4 to both sides:
(3x - 4) + 4 = 20 + 4
Simplifying:
3x = 24
Finally, solve for x by dividing both sides of the equation by 3:
(3x)/3 = 24/3
Simplifying:
x = 8
Therefore, the solution to the equation 5x - 4 = 2x + 20 is x = 8.
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Full Question-
Solve for x in the given equation 5x-4 = 2x+20
A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data from this sample, it was reported that over half of U.S. adults would give themselves a grade of A or B on their knowledge of personal finance. This statement was based on observing that 939 people in the sample would have given themselves a grade of A or B.
(a) Construct and interpret a 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance. (Round your answers to three decimal places.)
(,)
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B? Explain why or why not.
Because this confidence interval _____ is entirely below 0.5contains 0.5is entirely above 0.5 , the interval ______ is not consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Answer:
a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.
This means that [tex]n = 1664, \pi = \frac{939}{1664} = 0.5643[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588[/tex]
The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?
Yes, because the confidence interval is entirely above 0.5.
Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Veronica can hit a bucket of 144 golf balls in 2 hours. how many golf balls can Veronica hit in 5 hours
Answer:
360
Step-by-step explanation:
144/2=72
5×72=360
...........
I need help finding the area and perimeter to this question. Pls help!! Thank you!
Answer:
Perimeter: 50.27
Area: 201.06
Step-by-step explanation:
The perimeter (circumference) is radius times pi times 2
This would be 8 times pi tomes 2 and when you do that you get 50.27
For the area you would do radius squared times pi
This would be 8 squared times pi which is 201.06
Hope this is helpful
- Please mark brainliest :)
Mast
Gabi tried to solve an equation step by step.
Skill
= 80
10
algeb
1
j
· 10 = 80 · 10 Step 1
10
ne-
j = 800
Step 2
Find Gabi's mistake.
ne-
Choose 1 answer:
cual
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
2¹⁰
Step-by-step explanation:
when the bAse the same
then,
we take them common and add their exponents.
Answer: [tex]2^{10}[/tex]
They give you the answer in the question. Multiply [tex]2^{3}[/tex] and [tex]2^{7}[/tex].
When multiplying exponents we add them.
For every 5 pounds of tomatoes ordered, the restaurant orders 9 pounds of onions. If Everly orders
108 pounds of onions, how many pounds of tomatoes will she need to order?
Type or write your answers in the box below.
Answer:
[tex]\left[ 60- pounds][/tex]
Step-by-step explanation:
Ratio of tomatoes to onions = 5:9
so now it will be
5x: 108
we can solve it by doing this
x = 108/9
x = 12
so we multiply
5*x = 5x
5*12 = 60
She would need 60 pounds
How many square feet of outdoor carpet will
we need for this hole?
If set M =[even digits from 2 to 8]. Find n(M)
Answer:
n(M) = 4
Step-by-step explanation:
M = (2,4,6,8)
n(M) = Number of values in set M.
n(M) = 4
can someone explain how to do this for me?
Answer:
Weight of circles = 10
Step-by-step explanation:
Say the circle's weight is x
Since there is one triangle and one square on the left, we know that is 16 pounds
Since there are 5 squares on the right, we know that is 36 pounds
Knowing that the circle weight variable is x, we can make an equation
16+3x=36+x
Simply solve for x now
PLEASE PLEASE PLEASEEEEE HELP!!!!!!!!!
GEOMETRY!!! Will give brainliest
Answer:
TIME REMAINING
54:28
The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was
Step-by-step explanation:
TIME REMAINING
54:28
The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was
An Internet company located in Southern California has season tickets to the Los Angeles Lakers basketball games. The company president always invites one of the seven vice presidents to attend games with him, and claims he selects the person to attend at random. One of the seven vice presidents has not been invited to attend any of the last four Lakers home games. What is the likelihood this could be due to chance
Answer:
0.5398
Step-by-step explanation:
Given that :
Total possible numbers vice presidents invited = 7
Required number of vice presidents invited = 1
Probability that a certain vice president is invited ;
P(a certain V. P is invited) = required outcome / Total possible outcomes
P(a certain V. P is invited) = 1/ 7
P(1 of the V. P's hasn't been invited to attend any of the last 4 games)
Then ; it means any of the remaining (7 - 1) = 6 has been invited ;
Hence,
P(1 of the V. P's hasn't been invited to attend any of the last 4 games) = ((7-1) / 7)^4
Likelihood that it could be due to chance :
(6/7)^4 = 0.5397750
= 0.5398
Can someone tell me this one?
Answer:
The answer is 45
Step-by-step explanation:
35+10=45
who hates else edge and if you have cod mobile what's your name we could play
Answer:
i
Step-by-step explanation:
my name is Aisha let's play
One card is randomly selected from a deck of cards. Find the odds:
in favor of getting a spade.
Answer:
1/4 chance or 0.25 or 25%
Step-by-step explanation:
One forth of cards in a deck are spades
Answer:
1/4
Step-by-step explanation:
In a deck of cards, there are 52 cards (not including jokers)
and there are 13 cards that are spades, so it's simply just 13/52 which simplifies to 1/4
I just need these three questions fine, they should be easy, 7th grade level
1) A graph is linear when the line on a graph is a straight line with no curves.
2) A proportional graph means that as x increases, y increases and when x decreases, y decreases and their ratio always stays the same.
3) (I don't know what type of equation you mean but this is my guess)
Division is the last step of an equation.
Fatema will spend more than $30 on gifts. So far, she has spent $14 . What are the possible additional amounts she will spend? Use c for the additional amount (in dollars) . Write your answer as an inequality solved for c .
Answer:
c > $16
Step-by-step explanation:
Since she already spent $14 from the original $30 then the value of C would be the following inequality.
c > 30 - 14
c > 16
Therefore, the additional amount she could spend needs to be greater than $16 in order for Fatema to actually spend more than the $30 she wanted to spend on gifts in total.
Please solve the following problem.
Express the complex number [tex]z = 8 \text{cis} \frac{2\pi}{3}[/tex] in rectangular form [tex]a+bi[/tex].
Answer:
- 4 + 4√3 i, where a = -4 & b = 4√3
Step-by-step explanation:
z = 8 cis(2π/3)
z = 8 [cos(2π/3) + i sin(2π/3) ]
z = 8 [cos(π - π/3) + i sin(π - π/3)]
z = 8 [ - cosπ/3 + i sin(π/3)]
z = 8[ - 1/2 + i √3/2 ]
z = - 4 + 4√3 i [in a + bi form]
Note that: cis x = cosx + i sinx
Answer:
[tex]a + bi = - 4 + 4 \sqrt{3} i[/tex]
Step-by-step explanation:
we are given [tex]\displaystyle cis(\dfrac{2\pi}{3})[/tex]
recall complex number trigonometric form:
[tex] \displaystyle \: r( \cos( \theta) + i \sin( \theta) )[/tex]
we are already given that [tex]\theta=\dfrac{2\pi}{3}[/tex]
recall complex number rectangular form
[tex] \displaystyle \: a + bi[/tex]
where [tex]\displaystyle a=r\cos(\theta)\: and\: b=r\sin(\theta)[/tex]
let's work with a:
substitute the value of [tex]\theta[/tex] and r
[tex] \displaystyle \: a = 8 \times \cos( \frac{2\pi}{ 3} ) [/tex]
recall unit circle
so [tex]\cos(\dfrac{2\pi}{3})[/tex] should be in Q:II
[tex] \displaystyle \: a = 8 \times - \frac{1}{2} [/tex]
simplify multiplication:
[tex] \displaystyle \: a = - 4[/tex]
let's work with b:
substitute the value of [tex]\theta[/tex] and r:
[tex] \displaystyle \: b = 8\sin( \frac{3\pi}{2} ) [/tex]
recall unit circle so [tex]\sin(\dfrac{3\pi}{2})[/tex] should be in Q:II
[tex] \displaystyle \: b = 8 \times \frac{ \sqrt{3} }{2} [/tex]
simplify:
[tex] \displaystyle \: b = 4 \sqrt{3} [/tex]
so
[tex] \displaystyle \: b i= 4 \sqrt{3} i[/tex]
hence,
[tex]a + bi = - 4 + 4 \sqrt{3} i[/tex]
Jim had 16 gallons of orange juice. What is the total number of cups of orange juice Jim has?
Answer:
I think it's 256
Step-by-step explanation
Answer:
256
Step-by-step explanation:
why well
it goes like this
write the 2 number as shown
16 gallons cups
what is more gallons or cups
its gallons so
large to small
lagre to small is mutipling and small to large is dividing so u need to mutiply the amout of cups are in a gallon wichis 16 so 16 times 16 is 256 so there u go
What is the average (arithmetic mean) of 2, 8, 9, and 9?
a) 5
b) 7
c8
c) 8
d) 9
Answer:
The answer is 7
Step-by-step explanation:
2+8+9+9÷4=7
Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 288 cubic feet. The cost of wall paint is $0.06 per square foot and the cost of ceiling paint is $0.16 per square foot. Let x, y, and z be the length, width, and height of a rectangular room respectively. Identify the room dimensions that result in a minimum cost for the paint and use these dimensions to find the minimum cost for the paint. Round your answer to the nearest cent.
Answer:
The minimum cost is $17.30c
Step-by-step explanation:
Given
[tex]V = 288[/tex] --- Volume
[tex]C_1 = 0.06[/tex] --- cost of wall paint
[tex]C_2 = 0.16[/tex] ---cost of ceiling paint
Required
Minimum cost of paint
The volume is calculated as:
[tex]V =xyz[/tex]
Substitute 288 for V
[tex]288 =xyz[/tex]
Make z the subject
[tex]z = \frac{288}{xy}[/tex]
The surface area is calculated as:
[tex]Area = 2(yz + xz) + xy[/tex]
Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2
The cost is:
[tex]C = 0.06 * 2(yz + xz) + 0.16 * xy[/tex]
Substitute [tex]z = \frac{288}{xy}[/tex]
[tex]C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy[/tex]
[tex]C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]
[tex]C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]
[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy[/tex]
[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]
Differentiate w.r.t x and y
[tex]C_x = -\frac{34.56}{x^2} + 0.16y[/tex]
[tex]C_y = -\frac{34.56}{y^2} + 0.16x[/tex]
By comparison: [tex]x = y[/tex]
Set them equal to 0
[tex]C_y = -\frac{34.56}{y^2} + 0.16x=0[/tex]
[tex]-\frac{34.56}{y^2} + 0.16x=0\\[/tex]
Substitute x for y
[tex]-\frac{34.56}{x^2} + 0.16x=0[/tex]
[tex]0.16x=\frac{34.56}{x^2}[/tex]
Cross multiply
[tex]0.16x^3 = 34.56[/tex]
[tex]x^3 = \frac{34.56}{0.16}[/tex]
[tex]x^3 = 216[/tex]
Take the cube root of both sides
[tex]x = \sqrt[3]{216}[/tex]
[tex]x = 6[/tex]
[tex]x=y= 6[/tex]
Substitute 6 for x and for y in [tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]
[tex]C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6[/tex]
[tex]C = (\frac{2*34.56}{6}) + 5.76[/tex]
[tex]C = 11.52 + 5.76[/tex]
[tex]C = 17.28[/tex]
[tex]C = 17.3[/tex] --- approximated
Susan plans to make 4 pies for a family reunion. There will be 32 people at the reunion. How much pie will each person get if each piece is the same size?
1. 1/4
2. 1/7
3. 1/8
4. 1/32
Answer:
3
Step-by-step explanation:
to get enough pie for 32 people, each of the 4 pies would need to be 8 slices. since they each get 1 of 8 it would be 1/8
What percent of cupcake sales were more than 3 cupcakes, but less than 7 cupcakes?
9% is the answer trust me on this
If the following equation is true, what could be the value of x ?
2(x+1) = 8^2
a. 2
b. 3
c. 4
d. 5
Answer:
2 ( x + 1 ) = 64
x = 64 : 2 - 1
x = 31
The equation isn't true
the following list contains the number of movies That a group of 8 students saw in theaters in the past 12 months.
7,11,14,6,16,11,11,18
Find the median number of movies that the students saw.
Answer:
I'm pretty sure its 11
first orginize the numbers in numerical order
second the medj an is the middle numbe, if they are to find the mean of those two only
Find the perimeter of the figure. due today
Answer:
62
Step-by-step explanation:
Since you are simply finding the perimeter, I assume they just want you to add all the sides. 13 + 15 + 10 + 10 + 14 = 62
6(2b+5)=12b×30
What did Joseph do wrong and whats the correct answer
Answer:
he placed a * sign instead of an add sign in the second part of the equation
Step-by-step explanation:
6(2b+5)=6*2b + 6*5 = 12b + 30
What is the circumference of the outer edge of the path around the pool?
Factor completely
486+108x+6x^2
Thank you!
Answer:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]
Step-by-step explanation:
[tex]468 + 108x + 6x^{2} \\6x^{2} +108x + 468[/tex]
Greatest common factor of 6, 108, and 486:
6 x 1 = 6
6 x 18 = 108
6 x 81 = 486
GCF: 6
so:
[tex]6(x^{2} +18x +81)[/tex]
[tex]x^{2} +18x + 81[/tex]
factors to:
(x + 9) (x + 9)
because:
9 x 9 = 81
9 + 9 = 18
So:
It factors completely too:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]