Answer:
The predicted final exam grade is 83
Step-by-step explanation:
Given
[tex]\bar x = 75[/tex] -- midterm mean
[tex]\sigma_x = 10[/tex] --- midterm standard deviation
[tex]\mu =75[/tex] --- final mean
[tex]\sigma = 10[/tex] --- final standard deviation
[tex]r = 0.8[/tex]
Required
The predicted final grade of student who score 85 in midterm
The prediction is represented as:
[tex]y = \alpha + \beta x[/tex]
Where:
[tex]\beta = r * \frac{\sigma}{\sigma_x}[/tex]
[tex]\beta = 0.8 * \frac{10}{10}[/tex]
[tex]\beta = 0.8 * 1[/tex]
[tex]\beta = 0.8[/tex]
and
[tex]\alpha = \mu - r * \bar x[/tex]
[tex]\alpha = 75- 0.8 * 75[/tex]
[tex]\alpha = 75- 60[/tex]
[tex]\alpha = 15[/tex]
So:
[tex]y = \alpha + \beta x[/tex]
[tex]y = 15 + 0.8x[/tex]
For a student who gets 85, the prediction is:
[tex]y = 15 + 0.8*85[/tex]
[tex]y = 15 + 68[/tex]
[tex]y = 83[/tex]
Select the correct answer.
Which expression is equivalent to the glven expression?
(3m-4)^3(3m^5)
A. 81/m^2 B.27/m^7 C. 27/m^2 D.81/m^7
The correct expression which is equivalent to the given expression is,
⇒ 81 / m⁷
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (3m⁻⁴)³ (3m⁵)
Now, We can simplify as;
⇒ (3m⁻⁴)³ (3m⁵)
⇒ (3³m⁻¹²) (3m⁵)
⇒ (27m⁻¹²) (3m⁵)
⇒ 81 m⁻¹²⁺⁵
⇒ 81 m⁻⁷
⇒ 81 / m⁷
Thus, The correct expression which is equivalent to the given expression is,
⇒ 81 / m⁷
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A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
Answer:
504/8=63/6=10.5
10 rooms per floor with 3 leftover
y-4=7(x-6)y−4=7(x−6)
Answer:
I believe the question was written twice on accident
y=7x-38
Step-by-step explanation:
y-4=7(x-6)
y-4=7x-42
y=7x-38
I neeed the answer plssss
Answer:
300km
Step-by-step explanation:
if 1 hr=80
then take 80 and multiply it by 3.75
hope this helps!
please give brainiest if you want<3
Answer:
300km
Step-by-step explanation:
Really struggling with this, can someone please help me out and give me a brief explanation?
Answer:
the answer is 220
Step-by-step explanation:
the formula for surface area of a rectangular prism is A=2(wl+hl+hw)
w = width
h= height
l = length
and when you have those lengths, you have to substitute.
I would appreciate if someone could answer this
Answer:
x = 15
LN and MO both equal 43
Step-by-step explanation:
LN and MO are diagonals in rectangle
Diagonals of a rectangle are congruent Hence, 4x - 17 = 2x + 13
Now we solve for x
4x - 17 = 2x + 13
Add 17 to both sides
4x = 2x + 30
Subtract 2x from both sides
2x = 30
Divide both sides by 2
x = 15
Now we want to find the values of LN and MO
To do so we substitute 15 for x in it's given expression ( note: because LN = MO we only need to do this process once )
LN = 4x - 17
Substitute 15 for x
4(15) - 17
Multiply
60 - 17
Subtract
LN and MO = 43
The cost C of manning household is partly constant and partly varies as the number of people, the cost is 70,000 and for 10 people, the cost is 90,000 find the expression for C in terms of n ii. The weekly cost for 12 people
Answer:
4.196.754
Step-by-step explanation:
god bless stay safe po
Use slopes and y-intercepts to determine if the lines y=−2/3x+2 and −3x+2y=−4 are parallel.
Answer:
the answer is no
Step-by-step explanation:
y = -2/3x+2
2y = 3y-4
y = 3/2y-2
but here's a comment: it is perpendicular because it is it's opposite reciprocol
plz it's do to day HELP PLZ
Answer:
9 units^3
Step-by-step explanation:
V = l*w*h
= 1 1/2 * 4 * 1 1/2
Change to improper fractions
= 3/2 * 4 * 3/2
= 36/4
= 9 units^3
The rate to rent a small moving van is $30 per day, plus $2 per mile. Jada rented a van to drive to her new home. It took
two days, and the total cost was $360. How many miles did she drive?
The club with an occupancy of 100 will sell out at $25 per ticket. If the owner decides to increase the price by $5, then 2 less tickets will be sold. Determine the revenue function if x is the number of $5 increases.
Answer:
100 + (5X) = -2X
Step-by-step explanation:
Since the club with an occupancy of 100 will sell out at $ 25 per ticket, and if the owner decides to increase the price by $ 5, then 2 less tickets will be sold, to determine the revenue function if X is the number of $ 5 increases the following calculation must be performed:
100 + (5X) = -2X
So, for example, if the price were increased by $ 15, the equation would apply as follows:
15/5 = 3
100 + (5x3) = -2 x 3
100 + 15 = -6
115 = -6
Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents?
Answer:
Answer: (C)A picnic table is on sale for 60 percent off.
Step-by-step explanation:
well someone copied me but okay :[
Which expression is equivalent to 5^15 x 5^5
Answer:
[tex]5^{15} * 5^{5}[/tex]
= [tex]25^{20\\}[/tex]
Which of the coordinate pairs below are separated by a horizontal distance of greater than 11 units? Select all that apply.
A) (-6.4, 5.1) and (5.5, 5.1)
B) (4.7, -5.5) and (-3.3, -5.5)
C) (11/3, 4) and (−10/3, 4)
D) (-12, 5) and (2, 5)
9514 1404 393
Answer:
A, D
Step-by-step explanation:
The horizontal distance between the points is the difference of their x-coordinates.
A) 5.5 -(-6.5) = 12.0 . . . greater than 11
B) 4.7 -(-3.3) = 8.0
C) 11/3 -(-10/3) = 21/3 = 7
D) 2 -(-12) = 14 . . . greater than 11
A large university chemistry course has a required textbook available for $ 154 and a recommended supplement for $ 36. The university bookstore finds, over time, that 15% of students enrolled in the course purchase only the textbook, while 75% buy both the textbook and the supplement. No students buy only the supplement. a) What percent of students buy neither the textbook nor the supplement from the bookstore
Answer:
10% of students buy neither the textbook nor the supplement from the bookstore
Step-by-step explanation:
We have that:
15% buy only the textbook.
75% buy both the textbook and the supplement.
None buy only the supplement.
a) What percent of students buy neither the textbook nor the supplement from the bookstore
15% + 75% = 90% buy at least one of them. So
100% - 90% = 10% buy neither.
What is the value of y - X?
A. 20
D
B. 30
O
E.
о O
C. 45
Answer:
30
Step-by-step explanation:
that is the procedure above
Jordan is going to a friends birthday party. He couldn’t decide if he should wear a coat so he checked the weather. The weather report showed it would be -11 degrees in the morning but by the afternoon there would be a drastic increase of 73 degrees. Write an equation that represents this situation. Then find the temperature in the afternoon.
plz reply within five minutes and plz give an explanation on your process and how did you approach your problem and ofc loving the question.
Answer:
-11 + 73
62°
Step-by-step explanation:
Morning temperature = - 11
Afternoon temperature = morning temperature + 73°
We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;
Hence, temperature in the afternoon will be :
-11° + 73° = 62°
Hence, after oon temperature will be 62°
Write an equivalent expression for: 5(5x - 9) *
Answer:
25x - 45
Step-by-step explanation:
5(5x - 9)
Distribute
5*5x - 5* (9)
25x - 45
Answer:
➛ 25 x - 45
Step-by-step explanation:
➛ 5 ( 5 x - 9 )
Using distributive property multiply both by 5
➛ 5 × 5 x - 5 × -9
➛ 25 x - 45
A grocery store chain uses loyalty cards that offer discounts on sale attheir store. The probability that a randomly chosen shopper has a loyaltycard is 0.8. A group of shoppers have been selected at random to completea customer satisfaction survey. Let Xi be a random variable that equals 1 when a customer has a loyalty card and 0 otherwise.
Required:
a. Construct a joint probability table for the random variables X, and X.
b. Define the event that the first four customers sampled have loyalty cards in terms of the random variables X, X2, X3, and Xd. Then compute the probability of this event.
Solve the compound inequality
Answer:
B
Step-by-step explanation:
Answer:
I'm so sorry I did not mean to answer! Ignore my response
Step-by-step explanation:
The value of x for which the expressions 5(3x-4) equal to 2(2x+1)
Answer:
the value of x is 2.
Step-by-step explanation:
5(3x - 4) = 2(2x + 1)
15x - 20 = 4x + 2
15x - 4x = 2 + 20
11x = 22
x = 22/11
x = 2
If using the method of completing the square to solve the quadratic equation
x^2 + 8x – 4 = 0, which number would have to be added to "complete the square"?
Step-by-step explanation:
everything can be found in the picture
Solve for x: 12x+5=3x+35
Answer:
The answer would be 3.33.
Step-by-step explanation:
Simplifying 12x + 5 = 3x + 35
Reorder the terms: 5 + 12x = 3x + 35
Reorder the terms: 5 + 12x = 35 + 3x
Solving 5 + 12x = 35 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation. 5 + 12x + -3x = 35 + 3x + -3x
Combine like terms: 12x + -3x = 9x 5 + 9x = 35 + 3x + -3x
Combine like terms: 3x + -3x = 0 5 + 9x = 35 + 0 5 + 9x = 35
Add '-5' to each side of the equation. 5 + -5 + 9x = 35 + -5
Combine like terms: 5 + -5 = 0 0 + 9x = 35 + -5 9x = 35 + -5
Combine like terms: 35 + -5 = 30 9x = 30
Divide each side by '9'. x = 3.333333333
Simplifying x = 3.333333333
Social scientists discovered that 1,013 General Social Survey (GSS) respondents in 2010 watched television for an average of 3.01 hours per day, with a standard deviation of 2.65 hours per day. Answer the following questions, assuming the distribution of the number of television hours is normal.
Required:
a. What is the Z score for a person who watches more than 8 hr/day?
b. What proportion of people watch television less than 5 hr/day? How many does this correspond to in the sample?
c. What number of television hours per day corresponds to a Z score of +1?
d. What is the percentage of people who watch between 1 and 6 hr television per day?
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65[/tex]
For point a:
Using formula:
[tex]Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\[/tex]
For point b:
[tex]P(X<5)=?\\\\ x = 5\\\\ Z = \frac{(X - \mu)}{\sigma} = \frac{(5 -3.01)}{2.65} = 0.7509434\\\\P(Z< 0.7509434) = 0.7736566\\\\P(X<5) = P(Z< 0.7509434) = 0.7736566[/tex]
For point c:
[tex]X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66[/tex]
For point d:
[tex]P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X<1)\\\\\text{Z score for x} = 6\\\\Z = \frac{(6 - 3.01)}{2.65} = 1.128301887 \\\\P(Z< 1.128301887) = 0.870403777 \\\\P(X<6) = P(Z< 1.128301887) = 0.870403777 \\\\\text{Z score for x} = 1 \\\\[/tex]
[tex]Z = \frac{(1 -3.01)}{2.65} = -0.758490566\\\\P(Z< -0.758490566) = 0.224078679\\\\P(X<1) = P(Z< -0.758490566) = 0.224078679 \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X<6) - P(X<1) \\\\ = 0.870403777 - 0.224078679 = 0.646325097 \\\\\text{Required probability} = 0.646325097[/tex]
I am majorly stuck lol
The area of a rectangle is given by the expression 8x3 + 26x2 + 31x + 15. If the width of the rectangle is 2x + 3, what is the expression that represents the length of the rectangle?
Please answer this, I am confused (5^2)(7^2)(3^2)
Given:
The expression is:
[tex](5^2)(7^2)(3^2)[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex](5^2)(7^2)(3^2)[/tex]
On simplification, we get
[tex](5^2)(7^2)(3^2)=(25)(49)(9)[/tex]
[tex](5^2)(7^2)(3^2)=11025[/tex]
Therefore, the value of the given expression is 11025.
What is the value of y in the equation 3y - 8 = 22?
7.3
8
10
14
In general, half of all the customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. So that means if I speak to 300 customers, how many will qualify for the discount
Answer:60
Step-by-step explanation:
300 of 20% is 60
The number of qualified customers for the discount will be 60.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
It is given that half of all the customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. So that means if I speak to 300 customers.
The number of qualified customers will be calculated as below:-
The qualified customers are 20% of 300.
Number = 300 x (20/100)
Number = 300 x 0.2
Multiply the number 330 with 0.2 to get the final value.
Number = 60
Therefore, the number of qualified customers for the discount will be 60.
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I need this by to night somebody help pls
Answer:
0° < x < 83.76°
Step-by-step explanation:
Assuming a pyramid with a square base, and the height of the pyramid varies from almost zero to almost infinity.
The largest value for the angle x+2 is when the height of the pyramid is almost zero.
Then the face is an isosceles triangle with base 13 and height 14.
The angle opposite the base is then
x+2 = 2*atan(6.5/7) = 2* 42.879 = 85.76°
when the height is almost infinite, the angle is almost zero.
Therefore the range of the value of x
0° < x < 83.76°
guys please help me :(((((((((( crying
Answer:
18
Step-by-step explanation:
2/6
4/12
6/18
Answer:
x = 18
Step-by-step explanation:
We can write ratios
2 2+4
---- = -----
6 x
Using cross products
2x = 6(2+4)
2x = 6(6)
2x = 36
Divide by 2
2x/2 = 36/2
x = 18
