Answer:
222
Step-by-step explanation:
What I did was calculate the area of each sides of the triangular prism.
For the two triangles:
1/2(6x5)=15 (for 1 triangle, notice there are 2 so -> 30)
For the 2 rectangles:
5x12=60 x2 = 120
For the base:
6x12=72
Add all them together we get 222
If f (x)
6x – 6 , find f (-1)
Answer:
-12
Step-by-step explanation:
f (x)=6x – 6
Let x= -1
f(-1) = 6(-1) -6
= -6-6
= -12
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.
Please help!!! Urgent ….
9514 1404 393
Answer:
ΔWZT ~ ΔWXY
Step-by-step explanation:
Angle XWY and angle ZWT are vertical angles, so congruent.
The sides on either side of those angles are proportional:
WZ/WX = WT/WY
11/22 = 10/20 = 1/2
so, we can claim similarity by the SAS Theorem.
ΔWZT ~ ΔWXY
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
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
Two dice are thrown together. Use a tree diagram to find the probability that both numbers are less than 5
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
2 dice = 12 numbers
1, 2, 3, 4 and 1, 2, 3, 4 are less than five.
This is a total of 8 numbers.
[tex]\frac{8}{12} =\frac{8/4}{12/4}=\frac{2}{3}[/tex]
The probability that both numbers are less than 5 on throwing 2 dices is given by P ( A ) = 4/9 = 44.44 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that both numbers are less than 5 on throwing 2 dices be represented as P ( A )
Now , the total number of outcomes for throwing 2 dices = 36 outcomes
And , out of these 36 possible outcomes, there are 16 outcomes where both numbers are less than 5
{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3),
(3,1), (3,2), (3,3), (4,1), (4,2), (4,3),
(1,4), (2,4), (3,4), (4,4)}
So , the number of possible outcomes = 16
And , probability P ( A ) = 16/36
P ( A ) = 4/9
Hence , the probability is 4/9
To learn more about probability click :
https://brainly.com/question/17089724
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Identify the relationship between the graphs of these two equations. y = 5/6x + 5 y = 5/6x - 1
parallel
perpendicular
neither
Answer:
parallel
Step-by-step explanation:
the slope of each line is 5/6 which means the lines are parallel
please, this is the last time I'm asking, just help me with the Volume.
Answer: 4374
Step-by-step explanation:
Please help with that answer someone please before 12:00an
Answer:
150 cause subtract 150 from 270 you get 150
Which of the following are true of linear functions? Select all that apply.
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function can cross the y-axis in two places.
A linear function has a constant rate of change.
A linear function must cross the x-axis.
Answer:
"there is exactly one output for each input" is cotrrect
"the graph of a linear function" is correct
Step-by-step explanation:
NO LINKS NO FILES. After you add 3 to both sides of the equation 27 = m/6 - 3, what should you do next?
Answer:
Multiply each side by 6
Step-by-step explanation:
27 = m/6 - 3
Add 3 to each side
27+3 = m/6 - 3+3
30 = m/6
Multiply each side by 6
30*6 = m/6*6
180 = m
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.....
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 pairs of degree measures NOT belong to the
group?
Answer:
B. 56° and 38°
Step-by-step explanation:
The sum of each of the two angles sums up to 90° ;
A.) 13° and 77°
Sum of A ; (13 + 77)° = 90°
B.) 56° + 38°
Sum = 56° + 38° = 94°
C) 37° and 53°
Sum = 37° + 53° = 90°
D.) 42° and 48°
Sum = 42° + 48° = 90°
Hence, the pair of degree measure which does not belong is B. 56° and 38°
Please check my function,
Tell my function right or not, And if not please tell me how to correct
Answer:
yes, i think it is correct :)
Step-by-step explanation:
g(x) = x2 – 2 (a) Identify the parent function f.
Answer:g(x) is flipped and 2 times as steep and shifted left 5
Step-by-step explanation:
HELP ASAP 35 POINTS
Answer:
Given function:
y = -x² + 6Fill in the table by substituting the value of x:
x = 0 ⇒ y = - 0² + 6 = 6x = 1 ⇒ y = - 1² + 6 = 5x = -1 ⇒ y = -(-1)² + 6 = 5x = 2 ⇒ y = -2² + 6 = 2x = -2 ⇒ y = -(-2)² + 6 = 2The graph is attached
In the figure below, YZA and YZX are right angles, XYZ and AYZ are
congruent, and XZ = 10. What is the length of ZA ?
Answer:
10
Step-by-step explanation:
Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10
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
Factor 24m - 12p + 72 to identify the equivalent expressions.
CHOOSE TWO ANSWERS!!!
A.6(4m+2p+12)
B.2(12m-6p+36)
C.12(2m-p+6)
D.24(m-12p+3)
Answer:
B and C
Step-by-step explanation:
If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)
If you take the greatest common factor then it could be factored to 12(2m-p+6)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Answer:
216
Step-by-step explanation:
outcome of one die is 1 out of 6 and if you roll 3 dices, the outcome is 216 possible outcomes because 6 times 6 times 6 is 6 cubed or 216
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:
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
The fence around a circular garden is 18 feet long.What is the area of the garden to the nearest square foot?Use 3.14 for pi.
Type the answer in the box
________ square feet
Which of the following ordered pairs is a solution to the equation 4x+6y=12? Select all that apply. Select all that apply: (−3,4) (1,3) (−6,6) (−13,10) (0,2)
find the absolute maximum and the absolute minimum of the given function on the given interval f(x)=xe^x/2 on [-3,1]
Answer:
View the graph for a visual
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]
f'(x)=0, gives x=-2
we find f(x) at x=-3,-2,1
f(-3)=-3e^(-3/2)≈-0.67
f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74
f(1)=1 e^(1/2)=√e≈1.65
Determine whether the triangles are similar. If so, write a similarity
statement.
Answer:
[tex]\triangle FED\sim \triangle JEH[/tex]
Step-by-step explanation:
Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]
9514 1404 393
Answer:
ΔDEF ~ ΔHEJ
Step-by-step explanation:
The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.
The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...
ΔDEF ~ ΔHEJ
Help me solve this please !
Answer:
The answer is D, 14. This is because those bars are asking for absolute value, meaning you simply change any negative to a positive and give its value in general instead of as a negative or positive
Integers help me with this question
9514 1404 393
Answer:
5196 m
Step-by-step explanation:
The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.
5040 -(-156) = 5040 +156 = 5196
The difference in elevation is 5196 meters.
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:
Write the equivalent of the fraction using a dominator of 35 4/14
Answer:
10/35
Step-by-step explanation:
4*2.5=10
14*2.5=35
4/14=10/35