If after one year, she received a total of $620 in interest. The amount that she invest in each account is 2,000 amount invested at 7% , 8,000 amount invested at 6.
Amount investedLet x represent the amount invested
Hence,
.07x + .06(10,000-x) =620
.07X+600-.06x = 620
Combine like terms
.01x =620-600
.01x=20
Divide both side by .01x
x=20/.01
x =2,000 amount invested at 7%
So,
10,000-2,000 = 8,000 amount invested at 6%
Check :
.07 × 2,000+.06× 8,000=620
150 + 480 = 620
620 = 620
Therefore we can conclude that $2,000 was invested at 7% and $8,000 was invested at 6%.
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THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER 3!!I NEED THIS BY **TODAY**
Answer:
y=2x
Step-by-step explanation: given (0,0) (1,2)
y=mx+b
0=(m*0)+b
0=b
2=(1*m)+
2=m
y=mx+b
y=2x
Find the 7th term in the
sequence
-4, -8,-16, . . .
Answer: -512
Step-by-step explanation:
to answer this problem you need to understand the sequence and hen extrapolate the sequence out until you get to the seventh term (which would be your answer).
looking at -4, -8, -16
First we clearly see that each number is a negative and an even number. going beyond this we see -4 goes into -8 twice and -8 goes into -16 twice (in other words the next number in the sequence is always double the proceeding number). Also, each number is an even factor of four which can help us with double checking at the end!
-4 --> (-4) + (-4) = -8 -8 --> (-8) + (-8) = -16 -16 --> (-16) + (-16) = -32 -32 --> (-32) + (-32) = -64 -64 --> (-64) + (-64) = (-120) + (-8) = -128 -128 --> (-128) + (-128) = (-200) + (-40) + (-16) = -256 -256 --> (-256) + (-256) = (-400)+(-100)+(-12) = -512Can also be seen as:
4 times (-2) = -8 4 times (-4)= -16 4 times (-8) = -32 4 times (-16) = -64 4 times (-32) = -128 4 times (-64) = -256 4 times (-128) = -512Double check by going back and reviewing you math as well as making sure each answer is even and divisible should be divisible by four!
I hope this helps!
P.S.
As this addition is rather tedious you could also times each previous answer by 2 .
example:
-64 times 2 = -128
(previous number in sequence) times 2 = (next number in sequence)
Please help Determine an expression that would represent the area of the figure shown below:
The expression that represents the area of the figure is: D. x² + 5x + 6.
What is the Area of a Triangle?The area of a triangle can be found using the following formula:
Area of triangle = 1/2 × base × height.
Given the following parameters for the triangular figure shown:
Length of the base of the triangle = 2x + 4
Height of the triangle = x + 3
The area of the triangle = 1/2 × (2x + 4) × (x + 3)
Expand
The area of the triangle = 1/2 [2x(x + 3) + 4(x + 3)]
The area of the triangle = x(x + 3) + 2(x + 3)
The area of the triangle = x² + 3x + 2x + 6
The area of the triangle = x² + 5x + 6
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Why can we consider the sample mean in random samples of size n from a given population to be a random variable?.
The sample mean is indeed a random variable because the value of the sample mean depends on the characteristics of the specific random sample. The sample size multiplied by the population mean yields the expected value of the sample sum.
What is random?
The lack of pattern or predictability in events, whether it be apparent or real, is referred to as randomness. Sometimes there is no order or discernible pattern or combination in a random series of events, symbols, or processes.
What is mean?
A collection of two or more numbers' mean is simply their simple mathematical average. There are various methods for calculating the mean for a given collection of numbers, including the arithmetic mean approach, which adds up the series' values, and the geometric mean method, which averages a group of products. The majority of the time, all of the fundamental approaches to calculating a basic average, however, yield the same rough result.
As the population is a huge number and not linear in growth we prefer to take random variable.
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Is this correct? Kinda confused on what to do. (Look at picture)
Answer:
yes correct . your solution is correct
Answer:
6.5 × 10^9 kg
Step-by-step explanation:
Here is the answer to the question the way it is asked, but the question is ridiculous. 1 kernel of popcorn has a mass of perhaps 1.5 g, so 1.25 g is reasonable. That means 1 kernel has a mass of 0.00125 kg, or 1.25 × 10^-3 kg. To state that 1 kernel of popcorn has a mass of 1.25 × 10^1 means that a kernel of popcorn has a mass of 12.5 kg which corresponds to a weight of approximately 27.6 lb. That is just ridiculous.
Using the ridiculous information given in the problem, then if 1 kernel has a mass of 1.25 × 10^1 kg, then 5.2 × 10^8 kernels have a mass of
(1.25 × 10^1 kg) × (5.2 × 10^8) =
= (1.25 × 5.2) × (10^1 × 10^8) kg
= 6.5 × 10^9 kg
Your number is correct, but don't forget the units.
For the regular octagon, please find the order of rotation and the angle
of rotation. Show all work for full credit.
A regular octagon is a closed figure with equal-length sides and equal-sized interior angles.
Measure of interior angle = 135°
Measure of exterior angle = 45°
What is meant by regular octagon?A regular octagon is a closed figure with equal-length sides and equal-sized interior angles. It possesses rotational symmetry of order 8 and eight lines of reflective symmetry. The Schläfli sign "8" represents a regular octagon. A regular octagon's internal angle at each vertex is 135°. ( radians).
We know that for a regular polygon with n sides the measure of each of the exterior angle = 360/n
Also, the measure of each of the interior angles of the regular polygon with n sides = (n - 2) × 180 / n
We have n = 8 (octagon)
Therefore, the measure of each of the exterior angles is: 360/8 = 45
Measure of each of the interior angles is given by:
(8-2) × 180/8 = 1080/8 = 135
Measure of interior angle = 135°
Measure of exterior angle = 45°
Therefore, the correct answer is option A. 45°, 135°.
The complete question is:
What is the angle of rotation of this regular octagon? What is the measure of an interior angle? A. 45°, 135° B. 22.5°, 135° C. 45°, 108° D. 22.5°, 108°
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that passes through the points
M (5-3) and N (8,1)
What is the slope of the line
Answer:
The slope of the line is 4/3
Step-by-step explanation:
slope = rise/run = y2-y1/x2-x1
1-(-3)/8-5 = 4/3
The slope of the line is 4/3
1/5x=15 what is x equal to?
Answer:
x=75
Step-by-step explanation:
because 1x=15
15x5=75 or 5 x
what is -3.1 x (-2.9)
Which algebraic expression is equivalent to the expression below?
8(3x - 5)
A.
24x - 40
B.
8x - 3
C.
8x - 8
D.
24x + 40
Answer: A
Step-by-step explanation:
Using the distributive property,
[tex]8(3x-5)\\\\=8(3x)-5(8)\\\\=24x-40[/tex]
Ian's car can go 217 miles on 7 gallons of gas. During a drive last weekend, Ian used 8 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas he used.
Answer:
165 miles
Step-by-step explanation:
part 1
231/7=33mpg
33×5 =165 miles
part 2
distance/mpg= gas used
for example: if you were told he went 200 miles,
200/33= 6.06 gallons of gas
10. One contestant on a game show has
1,500 points and another contestant has
-250 points. What is the difference
between the scores of the contestants?
A gym charges for attending exercise classes. Raquel pays $10 to attend
each class because she is a non-member. Since Viola is a member, she pays $15 per
month for a membership fee, but only $5 for each class.
Set the two expressions equal to each other. Solve this equation to determine how
many classes they would each have to attend to have the same cost.
The number of classes that they would each have to attend to have the same cost is 3 classes.
How to calculate the equation?Viola is a member, she pays $15 per month for a membership fee, but only $5 for each class. This will be illustrated as 15 + 5x.
Raquel pays $10 to attend each class because she is a non-member. This will be illustrated as 10x
where x = number of classes
Therefore, the equation will be equated together. This will be:
10x = 15 + 5x
Collect like terms
10x - 5x = 15
5x = 15
Divide
x = 15 / 5 = 3
The number of classes is 3.
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In your own words, explain the relationship between the graph of a function and the graph of function's derivative.
Answer:
The derivative of a function in a point is the slope of the graph in that point, so the graph of the function's derivative shows the slope of the function at any point. It is useful because we can say if the function is increasing or decreasing using the graph of the function's derivative. Where the derivative is positive, the graph of the function is increasing and when the derivative is negative, the graph of the function is decreasing.
Find the y-intercept of the line on the graph. Help pls!
Answer:
Y-intercept is 4
Step-by-step explanation:
due to X and Y lines it would be 4 lol
Have a good day
Answer:
It is 4
Step-by-step explanation:
The line intercepts the y axis at 4
Mark me as brainliest
Which type of transformation is described by (x,y)
(x,y) → (x-4, y+8)?
(x, y) => (x-4, y+8) is a transformation of 4 units left and 8 units up
How is the transformation described?
From (x, y) to (x-4, y+8) ,
(a) Let us consider x => (x - 4)
Consider x axis and the ' - ' sign
Here a point moves 4 units to the left
(b) Let us consider y => (y + 8)
Consider y axis and the ' + ' sign
Here a point moves 8 units upwards
What is a transformation?
A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. Translation, rotation, reflection, and expansion are the four different types of transformation. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image. Every point is equally distant from a fixed line in a reflection. Rotation is the act of turning about a central point .Translation is where every point of the shape must translate the same amount and in the same direction. A dilation is a resizing. A form changes size when you adjust it; even so, it retains the same appearance.To learn more about transformation, refer:
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In Rodger's state, unemployment compensation is calculated by finding the total of the quarterly wages of two consecutive quarters and dividing by 26. The weekly unemployment is 65% of that amount. In the quarter including January, February, and March, Rodger made a total of $13,950.80. In the quarter including April, May, and June, he made a total of $14,250.10. Find Rodger's weekly unemployment amount.
Rodger's weekly unemployment amount is $ 705.0225
Given,
The total of the quarterly wages of two consecutive quarters and dividing by 26.
The weekly unemployment is 65% of that amount.
Rodger made a total of $13,950.80.
and, he made a total of $14,250.10
We have to follow the some steps for solving question:
Step 1: Find the total of the quarterly wages of two consecutive quarters.
= $ 13,950.80 + $ 14,250.10
= $28,200.90
Step 2 : Divide the total by 26
= $28,200.90 / 26
= 1,084.65
Step 3 : Find the 65%
= 1,084.65 x 65%
= 1,084.65 x 65/100
= 705.0225
Hence, Rodger's weekly unemployment amount is $ 705.0225
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Answer:
$705.02
got it right
Step-by-step explanation:
please help me ty
this needs a step-by-step explanation
Answer:
4x3 which would be 12
Step-by-step explanation:
You write the words as numbers. Check if your answer is the same as the answer you have put for Number 4 and explain the difference
four times three can be numerically written as 4×3 which is equal to 12.
What are some alternative names for arithmetic operations?The addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
We know an alternative name for multiplication is times.
Given in the question four times three, this means we have to multiply 4 and 3 which is,
= 4×3.
= 12.
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A triangular cell has a perimeter of 26 m. Side A is 2 m shorter than twice side B, inside C is 3 m longer than side B. What is the length of each side?
Lengths are:
Side A = 4.25
Side B = 6.25
Side C = 9.25
What is perimeter?The perimeter is the length of the shape's perimeter. It is determined by adding up all of the shape's sides. It is linearly stated and one-dimensional. Area, on the other hand, quantifies how much space a shape takes up. It is stated in square units and has two dimensions. The total distance around a shape, or the sum of its side lengths, is the shape's perimeter. Units used to measure perimeter (P) include millimeters (mm), centimeters (cm), and meters (m).
Given Data
A triangular cell has a perimeter of 26 m. Side A is 2 m shorter than twice side B, inside C is 3 m longer than side B
Side A = 2Side B - 2
Side C = Side B + 3m
Perimeter = Sum of all sides
Perimeter = Side A + Side B +Side C
Equating values
26 = 2SideB - 2 + Side B + Side B + 3
26 +2 - 3 = 4 Side B
25 = 4 Side B
Side B = [tex]\frac{25}{4}[/tex]
Side B = 6.25
Side A = 2(2.25) -2
Side A = 4.25
Side C = 6.25 +3
Side C = 9.25
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a river barge travels at an average of 8 mi/h in still water. the barge travels 60 miles up the mississippi river and 60 miles down the river in a total of 16.5 hours. what is the average speed of the current in this section of the mississippi river? round the tenths place.
the average speed of the current in this section of the mississippi river is 5.8
let C = the speed of the current
then B - C = effective speed up river
B+C =effective speed down river
time up + time down = 16.5 hrs
60/B-C+60/B+C= 16.5
taking lcm and solving we get
480+60C +480-60C= 16.5 (64 - C^2)
960= 1056 - 16.5 C^2
16.5 C^2 =96
C^2= 5.82
Hence , the average speed of the current in this section of the mississippi river is 5.8
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100 POINTS + BRAINLEIST IF CORRECT
A kite contains four inner angles, which add up to 360 degrees. It has one pair of equal and opposite obtuse angles in each of these angles.
Answer:
∠D = 94°
Step-by-step explanation:
A kite is a quadrilateral.
Therefore, the sum of its interior angles is 360°.
⇒ ∠A + ∠B + ∠C + ∠D = 360°
⇒ 108° + ∠B + 64° + ∠D = 360°
⇒ 172° + ∠B + ∠D = 360°
⇒ ∠B + ∠D = 188°
A kite has one pair of opposite (obtuse) angles that are equal.
Therefore, ∠D = ∠B.
⇒ ∠B + ∠D = 188°
⇒ ∠D + ∠D = 188°
⇒ 2∠D = 188°
⇒ ∠D = 94°
Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen?
A rectangle with length 3 cubed feet and width of 3 squared feet.
Find the area.
1. Multiply powers: 32 · 33
2. Expand each power: (3 · 3) · (3 · 3 · 3)
3. Simplify: 35
Complete each sentence.
The
of the original exponent is the exponent in the power of product.
The dog pen has an area of
square feet.
If Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet
Here the Ellen's dog pen is in rectangular shape
The area of the rectangle = l × w
Where l is the length of the rectangle
w is the width of the rectangle
In this question
The length of the rectangle = [tex]3^{2}[/tex] feet
= 3×3
= 9 feet
The width of the rectangle = [tex]3^{3}[/tex] feet
= 3×3×3
= 27 feet
Then the area of the dog pen = l × w
Substitute the values in the equation
The area of the dog pen = 9×27
= 243 square feet
Hence, if Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet
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Sum
243
I found it on edge
Assume a profitable economic well produces an average income of $23 million, while the average cost of a dry hole is $1.2 million. How much profit can be expected from a 100-well drilling program?
The most appropriate choice for revenue and profit will be given by-
Profit expected from a 100-well drilling program = $[tex]146.2[/tex]
What is revenue and profit?
Total income generated by sale of goods and service is called revenue.
If [tex]p[/tex] is the cost of producing one unit of a commodity and [tex]q[/tex] is the number of units of the commodity, then the product of [tex]p[/tex] and [tex]q[/tex] gives the revenue.
If the revenue obtained by selling a commodity is more than the cost, difference between revenue and cost gives the profit.
Here,
Number of economic wells = 11
An economic well produces an average income of $23
Revenue obtained = $[tex]$[/tex][tex](23 \times 11)[/tex]
Number of dry wells = [tex]100 - 11[/tex]
= [tex]89[/tex]
Average cost of a dry hole is $1.2 million
Cost of 89 dry holes = $[tex]$[/tex][tex](89 \times 1.2)[/tex]
= $[tex]106.8[/tex]
Profit = Revenue - cost
= $[tex](253-106.8)[/tex]
= $[tex]146.2[/tex]
Profit expected from a 100-well drilling program = $[tex]146.2[/tex]
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Complete Question
The diagram has been attached
Assume a profitable economic well produces an average income of $23 million, while the average cost of a dry hole is $1.2 million. How much profit can be expected from a 100-well drilling program?
At 59 F, crickets chirp at a rate of 76 times per minute, and at 65 F they chirp 100 times per minute. Write an equation in slope-intercept form that represents the situation.
The equation in slope-intercept form that represents the situation is y = 4x - 160.
Given,
At 59°F, crickets chirp at a rate of 76 times/minute
At 65°F crickets chirp at a rate of 100 times/minute
We have to write an equation in slope-intercept form:
Here,
(x₁, y₁) = (59, 76)
(x₂, y₂) = (65, 100)
Lets find the slope.
m = (y₂ - y₁) / (x₂ - x₁)
m = (100 - 76) / (65 - 59)
m = 24/6
m = 4
That is, the slope is 4.
Now, substitute this in the slope-intercept form:
y = mx + b
100 = 4 × 65 + b
100 = 260 + b
b = -260 + 100
b = -160
Therefore, the equation in slope-intercept form that represents the situation is y = 4x - 160.
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how do i do this question
Answer: So the question is asking you to see what will happen is like attempt 2.
Step-by-step explanation:
So I recommend reading what to do, if you still don't know, you can search it up or maybe even watch a video of how to do it.
I really hope this helps you!
the graph of F(x) = |x| is shown below. if you horizontally shift this function right 7 units, what is the equation of the new function?
ANSWER:
C. G(x) = |x - 7|
STEP-BY-STEP EXPLANATION:
An absolute value function has the following form:
[tex]y=|x-a|+b[/tex]Where (a, b) is the origin, if we want to move 7 units to the right, we must add 7 units on the x-axis, that is, in a, therefore, the function would be:
[tex]\begin{gathered} G\left(x\right)=\left|x-+7\right| \\ \\ G(x)=\lvert x-7\rvert \end{gathered}[/tex]So the correct answer is C. G(x) = |x - 7|
A rectangle as shown has a length of 11 centimeters and a width of 4.2 centimeters. A circle is drawn inside that touches the rectangle at two points. Which is the closest to the total area of the shaded region?A. 9.19 cm squaredB. 101.59 cm squared C. 60.05 cm squared D. 32.35 cm squared
The area of a rectangle can be calculated with this formula:
[tex]A_r=lw[/tex]Where "l" is the length and "w" is the width.
The area of a circle can be found with this formula:
[tex]A_c=\pi r^2[/tex]Where "r" is the radius of the circle.
Let be "d" the diameter of the circle shown in the picture. Since it touches the rectangle at two points, you can identify that:
[tex]d=w[/tex]Since the radius of a circle is half the diameter, in this case this is:
[tex]d=\frac{4.2cm}{2}=2.1\operatorname{cm}[/tex]Therefore, the area of the circle is:
[tex]A_c=\pi(2.1\operatorname{cm})^2=13.85\operatorname{cm}^2[/tex]Now you must find the total area of the rectangle. Knowing that:
[tex]\begin{gathered} l=11\operatorname{cm} \\ w=4.2\operatorname{cm} \end{gathered}[/tex]You get:
[tex]A_r=(11\operatorname{cm})(4.2\operatorname{cm})=46.2\operatorname{cm}^2[/tex]In order to find the total area of the shaded region, you must subtract the total area of the rectangle and the area of the circle. Then, this is:
[tex]A_{sr}=46.2\operatorname{cm}-13.85\operatorname{cm}=32.35\operatorname{cm}^2[/tex]The answer is: Option D.
Which expression can be used to find the total number of squares below?
6 × 7
7 × 5
6 × 1
7 + 5
6 + 1
7 × 5 is used to find the total number of squares.
Each has 7 small squares.
There are 5 parts,
So we can write:
7+7+7+7+7
That is adding 7 five times. By this we get the total number of square.
So by multiplying 7 by 5 we get the total number of square.
= 7× 5
Therefore the expression 7×5 is used to find the total number of squares.
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Kesha is an hourly worker and is paid bi-weekly. Her wage is $25, and she is scheduled for 8 hours a day for 5 days a week. She also works 4 hours every other Saturday at time-and-a-half pay. How much is the gross income on Kesha’s paystub normally?(1 point) Responses $2,000 $2,000 $2,100 $2,100 $2,150 $2,150 $4,300
Answer:
$2,150
Step-by-step explanation:
GivensWe are given that Kesha is an hourly worker, is paid bi-weekly, and her wage is $25.
We are also told that she works 40 hours a week (derived from 8 hours a day for 5 days a week) and that she works 4 hours every other Saturday at time-and-a-half pay.
We are asked to find Kesha's gross income on her pay stub.
SolveFirst, determine her weekly wage by multiplying her hourly wage by the number of hours she works each week:
[tex]\$25 \times 40 = \$1,000[/tex]
Then, multiply this value by 2 since Kesha is paid bi-weekly (twice a month):
[tex]\$1,000 \times 2 = \$2,000[/tex]
Then, determine her time-and-a-half pay by first multiplying her hourly wage by 1.5:
[tex]\$25 \times 1.5 =\$37.50[/tex]
Then, multiply this value by 4 to represent the hours she works every other Saturday:
[tex]\$37.50 \times 4 = \$150[/tex]
NOTE: Since "every other Saturday" means twice a month, this is the same definition as bi-weekly. Therefore, no adjustments need to be made to this value.
Finally, add her time-and-a-half pay to her bi-weekly pay:
[tex]\$2,000 + \$150 = \$2,150[/tex]
Final AnswerTherefore, Kesha's gross income on her pay stub is $2,150.
Liz's math test included a survey question asking how many hours students spent studying for the test. Thescatter plot below shows the relationship between how many hours students spent studying and their score onthe test. A line was fit to the data to model the relationship.Which of these linear equations best describes the given model?A) ŷ = 10x + 20B) ŷ = 20x + 20Or C) ŷ = -20x + 20Based on this equation, estimate the score for a student that spent 3.8 hours studying.Round your answer to the nearest hundredth.__________.
Answer: B. y = 20x +20
The score for a student that spent 3.8 hours studying is expected to be 96.
Step by step solution:
The point-slope form of a linear equation is y = mx + b, where m is the slope and b the intercept with the y-axis.
To find the line that fits the data and model the relationship, we need to find the slope. Let
y = Test score
x = Study time (hours)
[tex]\begin{gathered} m=\frac{y_1-y_2}{x_1-x_2} \\ (x_1,y_1_{})\text{ and }(x_2,y_2)\text{ Point in the line} \end{gathered}[/tex]Two pair of coordinates from the line are (2, 60) and (3, 80):
[tex]m=\frac{60-80}{2-3}=\frac{-20}{-1}=20[/tex]We have m = 20, and b = 20 (intercept with the y-axis)
The equation that model the relationship is:
[tex]y=20x+20[/tex]Second Part. Basing ourselves on the above equation, estimate the score for a student that spent 3.8 hours studying x = 3.8.
[tex]\begin{gathered} y=(20\cdot3.8)+20 \\ y=76+20 \\ y=96 \end{gathered}[/tex]The score for a student that spent 3.8 hours studying is expected to be 96.