Answer:
13.9%
Explanation:
Rolling for 2 : (1, 1)
Rolling for 5 : (1, 4), (4, 1), (2, 3), (3, 2)
So, there are (4 + 1) = 5 possible outcomes out of 36 outcomes
Note: There are 36 outcomes when rolling a two fair cubes.
[tex]\sf Probability = \dfrac{possible \ outcomes}{Total \ outcomes}[/tex]
[tex]\rightarrow \sf \dfrac{5}{36} \ x \ 100[/tex]
[tex]\rightarrow \sf \dfrac{125}9} \%[/tex]
[tex]\rightarrow \sf 13.9 \%[/tex]
The charge for electricity consumption E is partly constant and partly varies as the number N of units used. The charge for 82 units is N 3,655 while the charge for 42 units is N 2055:
a) calculate the charge per unit of electricity
b) obtain a formula for E in terms of N
The charge per unit of electricity is #415
The formula for E in terms of N is E = 375 + 40N
What is variation?Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.
Analysis:
E = K + CN
where K and C are constants
When E = 3655, N = 82 and when E = 2055, N = 42
3655 = K + 82C ---------------1
2055 = K + 42C----------------2
subtract equation 2 from 1
40C = 1600
C = 40
substitute C in equation 1
3655 = K + 82(40)
3655 = K + 3280
K = 3655 - 3280 = 375
charge per unit is N = 1
E = 375 + 40(1) = #415
Formula for E in terms of N is E = 375 + 40N
In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N
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Round 1.87 to the nearest tenth
Answer:
the answer is 1.9 ^^
Find the output for the graph
y=-3x +11
when the input value is -4.
y = [?]
Answer:
Y = 23
Step-by-step explanation:
In the equation (y = -3x + 11) the X is the input value. When you replace this by -4 you will multiply -4*-3 which will give you 12 and then you will want to add 11 as that is your y intercept. Giving the value of your Y a 23, or the point would be (-4,23)
The data below represents the weight, in kilograms, of 15 containers shipped from a factory in one week.
Match the letter with the correct term that would be necessary to complete the box and whisker plot.
Box and whisker plot has shown in the picture which shows different measures of the data set.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have data:
45, 51, 53, 55, 55, 65, 75, 81, 84, 87, 93, 93, 95, 96, 100
Sample size: 15
A = (c) The Lowest value (45)
B = (e)Lower quartile Median (55)
C = (b) Median (81)
D = (d) Upper quartile (93)
E = (a) The Highest value (100)
Thus, box and whisker plot has shown in the picture which shows different measures of the data set.
Learn more about the box and whisker plot here:
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Which of the following is true?
A. Since the slope of AD equals the slope of CB and the slope of DB equals the slope of CA, the
figure is a rectangle.
B. Since both pairs of opposite sides are of equal length, the figure is á square
C. Since AB=CD= 141, the figure is a rectangle.
D. Since AB=CD= 141, the figure is a square.
Answer:
C. Since AB = CD = √41, the figure is a rectangle.
Explanation:
All of them AD, CB, DB, CA have a slope of 0.
Here measure the length units, 5 units horizontal and 4 units vertical. Thus we can conclude it is a rectangle.
Find diagonal Length:
√(x2-x1)² + (y2-y1) = Length from points measure.√(5-0)² + (4-0)² [insert following coordinates]√25 + 16 [simplify]√41 [final answer]Since AB = CD = √41, the figure is a rectangle.
the vertices of figure ABC are A(-4,1), B(5,3), and C(4,-2). If figure ABC is reflected over the line x=2, find the coordinates of vertex B'.
The coordinates of vertex B' are (-1,3)
What is reflection?Reflection is a mathematical transformation in which a image of an object is formed by flipping it over a reflection line a distance equal to the distance of the object from the reflection line.
Analysis:
When an object is reflected along the y-axis, only the the x-coordinate changes , if reflected along the x-axis, only the y-coordinate changes.
So vertex B' is a reflected vertex along the y- axis since it is at x=2
The distance of the x-coordinate of vertex B from the mirror line is 5-2 = 3
so the x-coordinate of vertex B' is going 3 units away from the mirror line which is at -1.
So the coordinates of vertex B' are (-1,3)
In conclusion, the coordinates of vertex B' reflected over the line X= 2 are (-1,3)
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If DI = 14, find CJ.
42
7
28
14
Answer:
28
Step-by-step explanation:
DI is a radius
CJ is a diameter
The diameter is twice the radius
CJ = 2 * DI
CJ = 2 * 14
CJ = 28
The highest or lowest point on a parabola is called the?
Vertex
Solution
Discriminant
Answer:
The answer is Vertex
Step-by-step explanation:
PLEAse help geometry
Answer:
A clockwise rotation of 90° about the origin
George Carrillo
What is the surface area of the sphere?
20 cm
Right
Rectangular S.A. = 2(lwt wh+ hl)
Prism
Right Prism S.A - ph+28
Right
Cylinder
SA. - 2 + 2 trh
Right Cone S.A = x +
Regular
pl
S.A = +8
Pyramid
Sphere SA 4
Cylinder Vrh
Cone
v-garn
Vrh
Pyramid
V-B
A 3207 cm
B 4007 cm
Sphere
VG
C 1600 cm
D 32007 cm
Answer:
1600π cm^2.
Step-by-step explanation:
S. A. of a sphere = 4πr^2
= 4 π 20^2
= 1600π cm^2
What is the value of the
expression shown?
28 - 62
Answer:
-34........................
AB = ?
does anyone know?
Answer:
AB = 6.97 (nearest hundredth)
Step-by-step explanation:
Sine Trigonometric Ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = 35°O = AC = 4 unitsH = ABSubstitute the given values and solve for AB:
[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]
[tex]\implies \sf \sin(35^{\circ})=\dfrac{4}{AB}[/tex]
[tex]\implies \sf AB=\dfrac{4}{\sin(35^{\circ})}[/tex]
[tex]\implies \sf AB=6.973787182...[/tex]
Therefore, AB = 6.97 (nearest hundredth)
We randomly select 100 Pell grant recipients from two states. State A is a relatively small state with approximately 4,000 Pell grant recipients. State B is a large state with approximately 200,000 Pell grant recipients. Suppose that the mean and standard deviation in individual Pell grants is approximately the same for both states: μ = $2, 600 and σ = $800. For which state is the sample mean for our 100 Pell grant recipients most likely to be within $80 of $2,600?a. State A because the sample represents a larger segment of this small population. b. State B because there is less variability in larger populations so estimates from samples are more accurate. c. Equally likely because σ = $800 for both states.
Using the Central Limit Theorem, the state that the sample mean would most likely be within $80 of $2,600 is given by:
c. Equally likely because σ = $800 for both states.
What does the Central Limit Theorem state?It states that the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, we have that for both states, [tex]\sigma = 800, n = 100[/tex], hence they have the same standard error, being equally as likely to be within $80 of $2,600, meaning that option C is correct.
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Write the inequality given in the diagram below
Answer:
x < 2
Step-by-step explanation:
the open circle above 2 on the number line indicates that x cannot equal 2
the arrow points left indicating values of x are less than 2 , that is
x < 2
A standard six-sided die is rolled onto a table. The product of the visible numbers is 144. What is the number on the bottom side of the die?
Explanation:
This is something you could do by trial and error.
The visible numbers are 1,2,3,4,6 which multiply to 144.
Another approach is to notice that 5 is not a factor of 144, so it must be the hidden value not part of the items multiplied.
Every other number 1,2,3,4,6 is a factor of 144.
1*144 = 144
2*72 = 144
3*48 = 144
4*36 = 144
6*24 = 144
what are the roots of x^2+7x+12
A:6&2
B:-6&-2
C:3&4
D:-3&-4
Answer:
D
Step-by-step explanation:
x² + 7x + 12
to find the roots equate the expression to zero
x² + 7x + 12 = 0
Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)
the factors are + 3 and + 4 , since
3 × 4 = 12 and 3 + 4 = 7 , then
(x + 3)(x + 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 4 = 0 ⇒ x = - 4
Answer:
D -3, -4.
Step-by-step explanation:
x^2 + 7x +12 = 0
12 = 3*4 and 7 = 3 + 4 so we write:
(x + 3)(x + 4) = 0
x + 3 = 0 , x + 4 = 0
So x = -3, -4.
Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16t^2 where is time in seconds. The height of a certain tower is 878 feet. How long would it take an object to fall to the ground from the top of the building?
Answer:
7.4 seconds
Step-by-step explanation:
878 = 16 t^2 divide both sides of the equation by 16
54.875 = t^2 take positive sq rt
7.4 seconds
Which of these is an example of similar terms
Answer:
sorry if this is wrong, I don't take algebra two and I won't have to, but maybe a polynomial with three turns
Please help me solve for X
Answer:
[tex]\boxed{\sf x = 8.67}[/tex]
Step-by-step explanation:
[tex]\sf 6(6 + x) = 4(4 + 18)[/tex]
Use the distributive property to multiply 6 by (6+x).
[tex]\sf 36+6x=4(4+18)[/tex]
Let's add 4 and 18 = 22.
[tex]\sf 36+6x=4 \times 22[/tex]
Multiply 4 and 22 = 88.
[tex]\sf 36+6x=88[/tex]
Subtract 36 from both sides.
[tex]\sf 6x=88 - 36[/tex]
[tex]\sf 6x=52[/tex]
Divide both sides by 6.
[tex]\sf x = 8.67[/tex]
Brian is a software salesman. His base salary is 1900 , and he makes an additional 40 for every copy of Math is Fun he sells. Let N represent his total pay (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating to p to n . Then use this equation to find his total pay if he sells 21 copies of Math is Fun.
Answer:
2740 is your total; p = 40n + 1900 is your equation.
Step-by-step explanation:
"p" represents total pay; "n" represents the number of copies he sells.
Base salary is 1900, and each copy sold gives him an extra 40
p = 40n + 1900 is your equation.
If he sells 21 copies. Plug in 21 for n
p = 40n + 1900
p = 40(21) + 1900
Simplify. Remember to follow PEMDAS. First, multiply, then add.
p = 40(21) + 1900
p = 840 + 1900
p = 2740
~
Please help me solve this parabola equation!!
How do you convert this parabola equation: -7(x-7)^2 = (y-6) into standard form?
Answer:
y=−7x2+98x−337 is the answer
Someone please help me plsssssssssssssssssssssssssssss
Answer:
232
Step-by-step explanation:
i need to solve this question asap
help would be greatly appreciated,
20 points given, thank you in advance!
Answer:
im sorry I just need to us ur page to right on
The wind speeds throughout the month of April were normally distributed with a mean of 17 mph. What percent of the days had wind speeds between 5
Answer:38
Step-by-step explanation:
Choose the values that would complete the general solution for y= arctan (0.7002).
(blank)+360k degrees
-215
-35
-145
-325
Answer:
-145°, -325°
Step-by-step explanation:
The principal value of the arctangent of 0.7002 is 35°. The tangent function is periodic with a period of 180°, so the general solution is ...
y = (35 +180k) degrees . . . . . where k is an integer
Values from the given list include ...
-145°
-325°
_____
Additional comment
+35° and +215° would also be part of the general solution
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 3/5
Step-by-step explanation:
brainliest pleaseeee
9. Use the distance formula to find the distance between the points (-4,-4) and (4,4).
Answer:
16
Step-by-step explanation:
Distance formula = [tex](x_{1}-x_{2})+(y_{1}-y_{2})[/tex]
Depending on which point is A and Which point is B, the answer is one of the two.
However, there is no such thing as negative distance, so your answer is 16 points in a certain direction.
How many ways can a president, vice president, and secretary be selected from a class of 30 students? a. 90 b. 2,068 c. 4,060 d. 24,360
Answer:
the answer to your question should be 2,068
Step-by-step explanation:
i hope i am right but i think so
Solve this linear equation. Show all workings
[tex]~~~~~~3x^2 +2x -1 = 0\\\\\implies 3x^2 +3x -x -1 = 0\\\\\implies 3x(x+1) - (x+1)=0\\\\\implies (x+1)(3x-1) = 0\\\\\implies x = -1,~~ x = \dfrac 13[/tex]
solve for x in this proportion.
x/4=6/8
Answer:
x = 3
Step-by-step explanation:
x / 4 = 6 / 8
4 time 2 = 8
4a = 8 divided both side by 4 4a / 4 = 8 / 4 a = 2
so
x time 2 = 6
2a = 6 divided both side by 2 2a / 2 = 6 / 2 a = 3