Answer:
Because the random variable X is discrete, the variance of X is defined as
var(X) =
where
p = values of probability as given in the table.
μ = 18.59
Calculate the array (x - μ).
x-μ = [-7.59 -4.59 -2.59 0.41 2.41 4.41 5.41 10.41]
Calculate the array (x-μ)².
(x- μ)² = [57.6081 21.0681 6.7081 0.1681 5.8081 19.4481 29.2681 108.3681]
Calculate the array p*(x-μ)².
p*(x- μ)² = [4.0326 4.4342 1.1404 0.042 0.2904 0.7779 3.8049 8.6694]
Calculate the variance of X.
var(X) = 23.182
Step-by-step explanation:
Answer: 23.18 (nearest hundredth)
Answer: 18.59
Step-by-step explanation:
A P E X
ANSWER ASAP IM GIVING BRAINLIEST!
The trapezoid is composed of a rectangle and two triangles. What is the area of the rectangle? What is the total area of the triangles? What is the area of the trapezoid?
A) 13 cm2; 15 cm2; 28 cm 2
B) 26 cm2; 15 cm2; 41 cm 2
C) 40 cm2; 15 cm2; 55 cm 2
D) 40 cm2; 7.5 cm2; 47.5 cm 2
Step-by-step explanation:
is there any diagram included about this question
please help❤️
A cannonball shot from the top of a building
can be modeled by the following equation:
h = –16(t = 3)2 + 189
Answer:
nole entiendo preguntale atu profe
ray bought the seven books shown below as well as an eighth book. the eighth book was $21.90. what was the price of the eighth book ?
Answer:
$21.90
Step-by-step explanation:
You say that in the question "the eighth book was $21.90". Please rephrase if that is not what you meant :)
:))))))))))))))))))))
Answer:
C
Step-by-step explanation:
[tex]48 \geqslant 6 - 7a \\ 48 - 6 \geqslant - 7a \\ 42 \geqslant - 7a \\ a \geqslant \frac{ 42}{ -7} \\ a \geqslant - 6[/tex]
Hope this helps..
Answer:
C. [tex] a \ge -6 [/tex]
Step-by-step explanation:
[tex] 48 \ge 6 - 7a [/tex]
Add 7a to both sides.
[tex] 7a + 48 \ge 6 [/tex]
Subtract 48 from both sides.
[tex] 7a \ge -42 [/tex]
Divide both sides by 7.
[tex] a \ge -6 [/tex]
Answer: [tex] a \ge -6 [/tex]
PLEASE HELP A boat is carrying containers that weigh 1000 pounds each. Use this information to fill in the table. Then plot the ordered pairs given by the table.
Answer:
For the table, the answers are 2000, 4000, 7000. for the graph the plots will be at (2,2000) (4,4000) (7,7000)Step-by-step explanation:
A boat is carrying containers that weigh 1000 pounds each.
For the table
2 x 1000 = 2000
4 x 1000 = 4000
7 x 1000 = 7000
For the graph
2, 4, and 7 are given as your X axis points. You will then raise those answers to your corresponding answers for the table. so your Y axis points will be 2000, 4000, and 7000.
Solve the equation 12 + 2x = 16
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]12 + 2x = 16[/tex]
[tex]2x=16-12[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach?
Answer:
7.2 liters of water must be added to create a 10% bleach solution.
Step-by-step explanation:
18 liters times 14%, or 18 * 0.14, is 2.52. If we want bleach to be 10% of our solution, we can just multiply this number by 10 because 10% times 10 is 100%!! 2.52 * 10 is 25.2. To find how many liters of water you need to add you just find the difference. To do this you subtract your original from your new solution, so 25.2 - 18 = 7.2 liters of water need to be added.
Answer:
7.2 liters of water must be added to create a 10% bleach solution. :)
Step-by-step explanation:
Work this out for meee
Answer:
87.5cm²
Step-by-step explanation:
area of trapezium = 1/2 (a+b)h
1/2 × (10 + 15) ×7
1/2 × 25 × 7
1/2 × 175 = 87.5
Answer:
87,5 cm²
Step-by-step explanation:
A = (b + B)×h/2
= (10cm + 15cm)×7cm/2
= 25cm×3,5cm
= 87,5 cm²
which of the following best describes a line
I would answer, but you didn't give any options.
i would say go for the option that is closes to :
" A line is a straight collection of points that goes on forever in two directions."
Please answer right, I've been stuck on this test for an hour.
Answer:
D
Step-by-step explanation:
f(x) has a horizontal asymptote of -4 while g(x) has horizontal asymptote of zero, in both functions, y is closer to infinity as x is closer to negative infinity,
A and B are definitely incorrect
while x gets closer to infinity, in f(x) y gets closer to -4, while in g(x) y gets closer to 0, thus they have a different end behavior as x approaches infinity
So, C is wrong, since it says that they have the same end behavior as x approaches infinity
Thus, D is correct
Willie had a lemonade stand.On one day he sold 117 cups of lemonade. If each cup contains 226 milliliters of beverage, how many liters did he sell in all
Answer:
26.442 litre
Step-by-step explanation:
total beverage sold= 117*226
= 26442ml
in litres= 26442/1000
= 26.442
U Listen
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia
and her sisters reading rates, in pages per hour? this are the choices and the question. pls this is due in 10 min pls help
Answer:
6
Step-by-step explanation:
60 mins ÷5= 12. 12 x2=24
60 mins ÷6=10. 10x3=30
30-24=6
Solve for x and show all of your steps.
3x - 20 - 4x = 4x - (3x - 2)
Answer:
Step-by-step explanation:
3x -20 -4x =4x -(3x -2)
3x - 20 -4x = 4x -3x+2
-x-20 =x +2
-20-2=x +x
-22=2x
x= -22/2
x=-11
Simplify 2(x - 4) + 7(x + 2). 9x + 6 9x - 4 9x - 6
Answer:
-The final answer is [tex]9x + 6[/tex] .
Step-by-step explanation:
Simplify the following equation:
[tex]2(x - 4) + 7(x + 2)[/tex]
-Use Distributive Property:
[tex]2(x - 4) + 7(x + 2)[/tex]
[tex]2x - 8 + 7x + 14[/tex]
-Combine [tex]2x[/tex] and [tex]7x[/tex] together:
[tex]2x - 8 + 7x + 14[/tex]
[tex]9x - 8 + 14[/tex]
Add [tex]-8[/tex] and [tex]14[/tex] together:
[tex]9x - 8 + 14[/tex]
[tex]9x + 6[/tex]
So, the final answer is [tex]9x + 6[/tex] .
There are d boys in the class. This is two more than four times the number of
girls (X). How many girls are there in the class?
Answer:
c.
Step-by-step explanation:
That is, the number of boys (d) is (=) 2 more than (2 +) 4 times the number of girls (4X). So your answer is C
What is 4.6% of 1.9? Round to the nearest hundredth (if nece
ecessary)
Answer:
.0874 or .087
Step-by-step explanation:
Answer:
1.99
Step-by-step explanation:
4.6% > 0.046
0.046 x 1.9 = 0.0874
0.0874 + 1.9 = 1.9874
rounded to nearest hundredth
1.99
1. If u were to draw a tree diagram showing all the possible outcomes for rolling a six sided die twice, how many total outcomes would there be
1. 6
2. 12
3. 36
2. Rick is deciding what to wear to school. He has two different shirts, two different pants, and two different pairs of shoes to choose from. How many different outfit combinations does Rick have to choose from
1. 6
2. 8
3. 16
On a coordinate plane, a triangle has points R (negative 1, 3), S (3, negative 2), and T (1, negative 4). Which reflection will produce an image of ΔRST with a vertex at (2, –3)? a reflection of ΔRST across the x-axis a reflection of ΔRST across the y-axis a reflection of ΔRST across the line y = x a reflection of ΔRST across the line y = –x
Answer:
a reflection of ΔRST across the line y = –x
Step-by-step explanation:
A reflection across the line y = –x transforms point (x, y) into (-y, -x)
After reflecting ΔRST across the line y = –x we get:
R (-1, 3) -> (-3, 1)
S (3,-2) -> (2, -3)
T (1, -4) -> (4, -1)
where S is at the desired vertex
Answer:
The answer is D
Step-by-step explanation:
Have a nice day!
Which of the angles below are vertical? *
Answer:
Angle 1 and Angle 3
Step-by-step explanation:
When two lines intersect, they form two pairs of vertical angles. These angles are equal in measure, and they are directly opposite each other in the intersection. For instance, in this case, that would be angles 1 and 3, or angles 4 and 2. Since 4 and 2 aren't an option, the correct answer is angle 1 and angle 3. Hope this helps!
The angle 1 and angle 3 are vertical angles
What are vertically opposite angles?Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. So are ∠2 and ∠4 . A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.
According to question
angle 1 = angle 3 ( vertically opposite angle )
angle 2 = angle 4 ( vertically opposite angle )
Hence, angle 1 and angle 3 are vertically opposite angle.
To know more about vertically opposite angle here :
https://brainly.com/question/18647014
# SPJ2
Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and
Answer:
Angle x=19°
Angle Y=53° hopes this helps i might be wrong idk
Step-by-step explanation:
Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.Angle X=90-71=19Angle Y=180-37-71-19
Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2 – x Complete the statements about the number of terms in the polynomial representing the volume of each box. Box 1's volume will be a Box 2's volume will be a . Explain your reasoning.
Answer:
Box 1's volume will be a monomial
Box 2's volume will be a binomial
Explain your reasoning:
Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial. Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.
Step-by-step explanation:
Feel free to copy and paste! Hope this helps! Have a great day!
BTW...If you have any questions for school...any grade level, any subject...just comment or ask. I will be sure to answer as soon as I can!! <3
The volume of a box is the amount of space it can occupy.
Box 1's volume will be a monomialBox 2's volume will be a binomialThe given parameters are:
Dimensions of box 1: x by 3x by x^3
Dimensions of box 2: x by 4x - 1 by x^3
The volume of the box is calculated by multiplying the dimensions.
So, we have:
Box 1
[tex]V_1 = x \times 3x \times x^3[/tex]
[tex]V_1 = 3x^5[/tex]
Box 2
[tex]V_2 = x \times (4x - 1) \times x^3[/tex]
[tex]V_2 = (4x - 1) \times x^4[/tex]
Open brackets
[tex]V_2 = 4x^5 - x^4[/tex]
After calculating the volumes, we have:
[tex]V_1 = 3x^5[/tex] ---- box 1
[tex]V_2 = 4x^5 - x^4[/tex] ---- box 2
Hence,
The volume of box 1 is monomial, because it has 1 termThe volume of box 2 is binomial, because it has 2 termsRead more about volumes at:
https://brainly.com/question/15861918
What is the length of BC?
Answer:
BC = 24
Step-by-step explanation:
Since angle B is equal to angle C
AC = AB
3x-15 = x+33
Subtract x from each side
3x-15 -x=x+33-x
2x-15 = 33
Add 15 to each side
2x-15+15 = 33+15
2x = 48
Divide by 2
2x/2 = 48/2
x = 24
We want BC = x
BC = 24
Can someone Help me?
Answer:
The answer for the surface area is 25.12
Step-by-step explanation:
By using the formula 1/3 x 3.14 x h x r^2
You would input the numbers and then multiply them all together to get the desired answer
A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. What is the volume of the current-sized box? a0 cubic inches
Answer:
Volume of the box = [tex]2244inches^{3}[/tex]
Step-by-step explanation:
Given
Number of reams in one stack = 4
Number of stacks in the box = 3
Dimensions of a ream = 8.5 inches, 11 inches and 2 inches respectively
To find
Volume of one ream = Length × Breadth × Height
= 8.5 × 11 × 2
= [tex]187 in^{3}[/tex]
Volume of all the four reams in one stack = 187 × 4
= [tex]748in^{3}[/tex]
Volume of all the three stacks in the box = 748 × 3
= [tex]2244in^{3}[/tex]
∴ Volume of the box = [tex]2244inches^{3}[/tex]
Answer:
The answer is 2244 in3. hope this helps☻♥.
(x³-4x²+7x-5)+(13x-15x²+x³)
Answer:
2x^3−19x^2+20x−5
Step-by-step explanation:
combine the x's and numbers, when fully simplified:
2x^3−19x^2+20x−5
Answer:
[tex]\sf 2x^3-19x^2+20x-5[/tex]Step-by-step explanation:
[tex]\sf\left(x^3-4x^2+7x-5\right)+\left(13x-15x^2+x^3\right)[/tex]
[tex]\sf x^3-4x^2+7x-5+13x-15x^2+x^3[/tex]
[tex]\sf x^3+x^3-4x^2-15x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-4x^2-15x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-19x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-19x^2+20x-5[/tex]
Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC? Question 4 options: A) To the left five units, up three units. B) To the right five units, up three units. C) To the left five units, down three units. D) To the right five units, down three units.
Answer:
C
Step-by-step explanation:
Determine the approximate ordered pair for f(x) = g(x)
(3, 12)
(3,18)
(12,3)
(18, 3)
Answer:
(3,18)
Step-by-step explanation:
Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph of y equals 4 x plus 5y=4x+5. Write the equation in slope-intercept form, if possible.
Answer:
The equation for the new line in slope-intercept form is:
[tex]y=4x+2[/tex]
Step-by-step explanation:
Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)
We are also given a point the new line should go through : "(1, 6)"
So we can use the "point-slope" form of a line to find the equation of this new line:
[tex]y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0[/tex]
which for our case is:
[tex]y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2[/tex]
What is the value of (5 + 2)^2 - 9x3 + 2^3 ? Show all of your
work for full credit.
Answer:
30
Step-by-step explanation:
(5+2)=7
9x3=27
2^3=8
7^2 - 27 + 8 (evaluate)
7^2=49
49 - 27 + 8 (calculate)
=30
Carly tried to solve an equation step by step.
Find Carly's mistake.
Answer:
Step 1 is incorrect
Step-by-step explanation:
Answer:
step 1
Step-by-step explanation:
