Answer:
There are 5 terms in the given expression.
The following table shows the number of classes that each teacher in the math department at Wilburton High School teaches. Find the median number of classes.
Answer:
4 classes
Step-by-step explanation:
4+3+5+9+3+4=28
28/6=4.6
After the first exam in a statistics course, the professor surveyed 14 randomly-selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is: y=6.3333x+53.0298.
Required:
a. Predict the exam score of a student who studies 2 hours.
b. Interpret the slope.
c. What is the mean score of students who did not study?
d. A student who studies 5 hours for the exam scored 81 on the exam. Is this student's exam score above or below average among all students who studies 5 hours?
Solution :
Given :
Equation :
y = 6.3333 x + 53.0298
Here, x = number of hours studied
y = the exam score
a). To predict the exam score, we have to replace x in the least square regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (2) + 53.0298
= 65.6964
Thus he predicted exam score is 65.6964
b). The slope is the co-efficient of x in the least squares regression line :
Slope = 6.3333
The slope represents the average increase in y as x increases by 1.
The exam score increases on average by 6.3333 points per hour studied.
c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :
y = 6.3333 x + 53.0298
y = 6.3333 (0) + 53.0298
= 53.0298
d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (5) + 53.0298
y = 84.6963
Thus the average exam score of a student who studied 5 hours is 84.6963
Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.
Assessment started: undefined.
Item 1
Stan scored 548,751 points on a computer game.
What was his score rounded to the nearest thousand?
Answer:
549,000
Step-by-step explanation:
What is the area of the parallelogram shown? 8 and 12
Answer:
96
Step-by-step explanation:
A=bh=8·12=
NEXT TIME SHOW THE PICTURE BUT YOU GOOD FOR RN.
Over a season in a women's basketball league Jackson scored 40 more points than the second-highest scorer, Leslie. Together, Jackson and Leslie scored 1202 points during the season. How many points did each player score over the course of the season?
Answer:
Step-by-step explanation:
x+x+40=2
+ 4 0
2x+31=1205
2x=1205-31
2x=1174
x=1174/2
x=587
leslie will hace 587 score and
jackson =587+31= 618
NO LINKS OR FILES. Explain how to evaluate 5p + (-6) when p = -4. Please give an explanation.
Answer:
-26
Step-by-step explanation:
5p + (-6)
Let p=-4
5(-4) + (-6)
Multiply
-20 +-6
Add
-26
Answer:
p=-4 which means that you do 5*-4-6 then you apply order of operations by multiplying first then you sub tract, so your answer is -26
Step-by-step explanation:
What is true about any point on a coordinate plane with a negative
x-coordinate and a y-coordinate that is not zero?
A. It lies in the top half of the coordinate plane.
B. It lies in Quadrant I or IV.
C. It lies to the right of the y-axis.
D. It lies in Quadrant II or III.
Answer:
the answer is B
Step-by-step explanation:
i guessed and got it right
Answer: D. It lies in Quadrant II or III
Step-by-step explanation: It asks for any point on a coordinate plane with a NEGATIVE X COORDINATE.
With this we can use this image (Shown below) to help us find out the answer... Quadrants II and III both have a negative X-coordinate
Please help with that answer someone please before 12:00an
Answer:
150 cause subtract 150 from 270 you get 150
Using the order of operations, what should be done first to evaluate 62 +10-(-5) (3) -5?
O Subtract 5 from 3.
Divide 10 by -5.
Add 6 and 10.
Evaluate
[tex] {6}^{2} [/tex]
Answer:
Step-by-step explanation:
Well there are 2 things you can do first.
You can multiply -5 * 3 (which is not a choice)
or you can evaluate 6^2 (which is given -- so this is what you can do first)
Help me ASAP! Giving the first person BRAINLIEST!
Answer:
Hello! answer: 12
Step-by-step explanation:
1/4 × 1/3 = 1/12 therefore there our 12 possible outcomes
El primer día de la tormenta de nieve hubo 9,2 centímetros de nieve. Durante el segundo día de la tormenta, cayeron otros 18,2 centímetros. Si la nevada total durante la tormenta de nieve de tres días fue de 39,1 centímetros, ¿cuánta nieve cayó el tercer día?
Answer:
11.7
Step-by-step explanation:
39.1 - 9.2 = 29.9
29.9 - 18.2 = 11.7
What value of x is in the solution set of 2(3x - 1) > 4x - 6?
Answer:
-1
Step-by-step explanation:
Distribute
6x - 2 >= 4x - 6
2x >= -4
x >= -2
What is 1/5 + 7/8 PLS HELP ME if you help me I’ll give you 20 points!
Answer:
1.075 or 43/40
Step-by-step explanation:
Answer:
1 3/40
Step-by-step explanation:
How do u do parabola
Answer:
Step-by-step explanation:
Finding the vertex or the end of the shape.
Find the y -intercept, (0,f(0)) ( 0 , f ( 0 ) ) .
Solve f(x)=0 f ( x ) = 0 to find the x coordinates of the x -intercepts if they exist.
Make sure that you've got at least one point to either side of the vertex. ...
Sketch the graph.
Consumer Reports indicated that the average life of a refrigerator before replacement is 14 years with a standard deviation of 2.5 years. Assume the age a refrigerator is replaced is normally distributed.
A.) State the random variable
B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?
C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?
D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?
E.) Suppose a company guarantees refrigerators and will replace a refrigerator that breaks while under guarantee with a new one. However, the company does not want to replace more than 5% of the refrigerators under guarantee. For how long should the guarantee be made (rounded to the nearest tenth of a year)?
F.) If it turns out that 40$ of all new refrigerators need to be replaced withing 10.5 years, is there an issue with the manufacturing process? Have some numbers to back up your reasoning.
Answer:
a.) Average life of a refrigerator
b.) 0.1151
c.) 0.0548
d.) 0.6472225
Step-by-step explanation:
Given that :
Average life before replacement, mean, m = 14 years
Standard deviation, σ = 2 years
A.)
The random variable is the variable which is being measured.
B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?
Fewer than 11 years, P(x < 11)
We need to obtain the Z probability, at P(Z < 11)
The Zscore = (x - mean) / standard deviation
Zscore = (11 - 14) / 2.5 = - 1.2
P(Z < - 1.2) = 0.1151
C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?
More than 18 years, P(x > 18)
We need to obtain the Z probability, at P(Z > 18)
The Zscore = (x - mean) / standard deviation
Zscore = (18 - 14) / 2.5 = 1.6
P(Z > 1.6) = 0.0548
D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?
P(x < 8)
The Zscore = (x - mean) / standard deviation
Zscore = (8 - 14) / 2.5 = - 2.4
P(Z < - 2.4) = 0.0081975
P(x < 15)
The Zscore = (x - mean) / standard deviation
Zscore = (15 - 14) / 2.5 = 0.4
P(Z < 0.4) = 0.65542
P(Z < 0.4) - P(Z < - 2.4)
0.65542 - 0.0081975 = 0.6472225
Write the equation and show work please
Answer:
y=-3x-5
Step-by-step explanation:
(-1, -2) (0, -5)
use slope formula
ΔY = (-5 – -2) = -3
ΔX = (0 – -1) = 1
m = -3
y=mx+b
-5 = -3(0)+b
b = -5
y=-3x-5
Gopi paid 25% of his salary as tax and spent of his salary on groceries. The remaining amount of Rs.2500 was his savings. Find his salary and the tax amount paid.
Answer:
his salary is rs 6000 & his tax amount is rs 1500 :)
Answer:
6000,1500
Step-by-step explanation:
Let Gopi's salary be 'x'
He paid 25% of his salary as tax. = 25% of x = 25x/100 = x/4
He spent 1/3 of his salary on groceries = x/3
Getting his salary:-
x-x/3-x/4=2500
(12x-4x-3x)/12=2500
5x/12=2500
x=
(2500x12)/5
x=500x12=6000
Tax amount:-
6000x25/100=1500
help!!! Choose the product . - 6p ^ 3 * (3p ^ 2 + 5p - 1)
Answer:
[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]
Step-by-step explanation:
[tex](-6p^{3} )(3p^2+5p-1)[/tex]
[tex](-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)[/tex]
[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]
hope this helps.....
0
The circumference of a circle is 21.3mm.
Find the length of the radius.
Give your answer rounded to 1 DP
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Answer:
r =3.4 mm
Step-by-step explanation:
circumference of a circle = 2πr
21.3 = 2*3.14*r
21.3 = 6.28*r
21.3 / 6.28 = r
3.39 = r
3.4 = r
During which period did humans first appear on Earth?
Quaternary
Neogene
Paleogene
Cenozoic
Answer:
According to Science, Quaternary.Step-by-step explanation:
I took the quiz.
But really, the Earth is not that old. just a couple thousand years old.
There is no such thing as 2.3 million billion years ago. There is someone with a greater power above who created everything.
Hope this helps and have a great day!
:)
Answer:
A. Quaternary
Step-by-step explanation:
can someone help me thanks
Let x be the length of the third side.
Thus:
[tex]\mathsf{25^2=17^2+x^2}\\\\\mathsf{625=289+x^2}\\\\\mathsf{x^2=625-289}\\\\\mathsf{x^2=336}\\\\\mathsf{x=\sqrt{336}}\\\\\boxed{\mathsf{x=4\sqrt{21}}}[/tex]
what's a expression of 6 groups of 4
Answer:
x=6*4
Step-by-step explanation:
Identify the variable expression that is not a
polynomial.
Write each as an algebraic expression
1) the difference of 10 and 5
3) u decreased by 17
5) x increased by 6
7) the sum of q and 8
9) twice q
11) the quotient of 18 and n
The midpoint of AB is M (2,0). If the coordinates of A are, (-3, 3), what are the coordinates of B?
Given:
M is the midpoint of AB.
M(2,0) and A(-3, 3).
To find:
The coordinates of point B.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get
[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-3+a}{2}=2[/tex]
[tex]-3+a=2\times 2[/tex]
[tex]a=4+3[/tex]
[tex]a=7[/tex]
And,
[tex]\dfrac{3+b}{2}=0[/tex]
[tex]3+b=0[/tex]
[tex]3+b-3=0-3[/tex]
[tex]b=-3[/tex]
Therefore, the coordinates of point B are (7,-3).
HELP ME PLEASE I ONLY HAVE 30 MINUTES
Please help I’m in an hour of need
Answer:
x = 107 degrees
Step-by-step explanation:
A line is 180 degrees so first, find the other angle by doing 180 - 160 which gives you 20 degrees.
The angles of a triangle add up to 180 degrees, so do 180-53-20, which gives you 107 degrees as the value of x.
Tom works part-time at a theme park. Last week, he worked the following hours. Type the hours Tom worked in hours and minutes into the boxes below. MON: 7 1 4 hours = hours and minutes TUE: 6 3 4 hours = hours and minutes WED: 5 1 5 hours = hours and minutes THU: 6 1 10 hours = hours and minutes
Answer:
7 hours and 15 minutes
6 hours hours and 45 minutes
5 hours and 12 minutes
6 hours and 10 minutes
Step-by-step explanation:
MON: 7 1/4 hours
= 7 hours and 1/4 hours
1/4 hours = 1/4 × 60 minutes
= 60/4 minutes
= 15 minutes
7 1/4 hours = 7 hours and 15 minutes
TUE: 6 3/4 hours
= 6 hours and 3/4 hours
3/4 hours = 3/4 × 60 minutes
= 180/4 minutes
= 45 minutes
6 3/4 = 6 hours hours and 45 minutes
WED: 5 1/5 hours
= 5 hours and 1/5 hours
1/5 hours = 1/5 × 60 minutes
= 60/5 minutes
= 12 minutes
5 1/5 hours = 5 hours and 12 minutes
THU: 6 1/10 hours
= 6 hours and 1/10 hours
1/10 hours = 1/10 × 60 minutes
= 60/10 minutes
= 6 minutes
6 1/10 hours = 6 hours and 10 minutes
A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the difference in price per cubic inch?
a. $0.01
b. $0.02
c. $0.00
d. $0.09
Answer:
b. $0.02[tex]/in^3[/tex]
Step-by-step explanation:
Given
[tex]r =1in[/tex]
[tex]h = 10in[/tex]
[tex]Cost_{1pk} =\$3[/tex]
[tex]Cost_{2pk} =\$5[/tex]
Required
The difference in the price per [tex]in^3[/tex]
First, calculate the volume (V) of the cylinder
[tex]V = \pi r^2h[/tex]
[tex]V = 3.14 *1^2 * 10[/tex]
[tex]V = 31.4[/tex]
The unit cost of 1 pack is:
[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]
[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]
The unit cost of 2 packs is:
[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]
The difference (d) is:
[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]
[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]
Take LCM
[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]
[tex]d = \frac{\$1}{62.8in^3}[/tex]
[tex]d = \$0.0159/in^3[/tex]
Approximate
[tex]d = \$0.02/in^3[/tex]
Answer:
b)
Step-by-step explanation:
had it on my quiz also give other dude brainliest.
find the value of x if y=2.5 on the graph of 2x-1=y
Answer:
2x - 1 = y
2x - 1 = 2.5
Use inverse operations
2.5 + 1 = 3.5
3.5 / 2 = 1.75
2 x 1.75 - 1 = 2.5
x = 1.75