Given:
The table of score and frequency.
To find:
The probability that on the next roll the score will be 4.
Solution:
From the given table it is clear that the score 4 occurs 10 times.
Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30
= 120
The probability that on the next roll the score will be 4 is
[tex]\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}[/tex]
[tex]\text{Required probability}=\dfrac{10}{120}[/tex]
[tex]\text{Required probability}=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].
3+x=x^2+3x Rewrite the equation by completing the square. What are the solutions to the equation?
Answer:
hope this helps
Step-by-step explanation:
3+x=x²+3x
Simply the equations.
= x+3=x²+3x
Subtract x²+3x from both sides.
x+3−(x²+3x)=x2+3x−(x²+3x)
−x2−2x+3=0
Factor left side of equation.
(−x+1)(x+3)=0
−x+1=0 or x+3=0
Answer:
x=1 or x=−3
Please help I will mark brainliest
A triangular plot of land has sides of lengths 420 feet, 330 feet, and 180 feet. Approximate the smallest angle between the sides. The choices are rounded to the nearest degree.
A. 30 degree
B. 27 degree
C. 22 degree
D. 24 degree
Answer:
D. 24 degree
Step-by-step explanation:
Sides of the triangle are
a = 330 ft
b = 180 ft
c = 420 ft
From cosine rule we have
[tex]\angle A=\cos^{-1}(\dfrac{b^2+c^2-a^2}{2bc})\\ =\cos^{-1}(\dfrac{180^2+420^2-330^2}{2\times180\times 420})\\ =48.65^{\circ}[/tex]
[tex]\angle B=\cos^{-1}(\dfrac{a^2+c^2-b^2}{2ac})\\ =\cos^{-1}(\dfrac{330^2+420^2-180^2}{2\times 330\times 420})\\ =24.17^{\circ}[/tex]
[tex]\angle C=\cos^{-1}(\dfrac{a^2+b^2-c^2}{2ab})\\ =\cos^{-1}(\dfrac{330^2+180^2-420^2}{2\times 330\times 180})\\ =107.19^{\circ}[/tex]
The smallest angle in the triangle is [tex]\angle B=24.17^{\circ}[/tex].
2(3 - 8y) =
What is the anwser:
Answer:
2(3 -8y)
6 - 16y
i can't go any further
This diagram shows a convex polygon.
What is the value of a?
*Picture Attached*
Answer:
216?
Step-by-step explanation:
Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. There were 216,000 cars sold last year. Write an equation that can be used to find the number of trucks, t, sold last year.
Answer:
(39,000 + 3t = 216000.) t = 59000
Step-by-step explanation:
(How to find t) First, subtract 39000 from 216000. Divide that by 3. Your answer is 59000.
help please look at the image below.
Answer:
other 15/32
Step-by-step explanation:
Credit Hackmath.com
Answer:
other: 15/32
Step-by-step explanation:
5/8 * 3/4 = 0.46875 and thats 15/32 in fraction form
slope = 1/2, through: (3, 1)
Answer:
m=0
Step-by-step explanation:
Question 6
14.28 pts
A vacation home in Orlando, Florida, rents for $130 per day. The function (x) = 130x gives the cost of renting the
home for x days. What is the reasonable range of the function in this context?
The reasonable range of the given function is given by {130, 260, 390, 520, .......}.
What is a range?A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range simply refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.
How to determine the reasonable range of the given function?In order to determine the reasonable range of the given function, we would create an input and output table to model the relationship between the range and domain as follows:
x 130x y___
1 130(1) 130
2 130(2) 260
3 130(3) 390
4 130(4) 520
Therefore, the reasonable range of the given function is given by {130, 260, 390, 520, .......}.
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Which of the following statements best explains the data collected by the student shown in the above table?
Answer:
i think its j
Step-by-step explanation:
What are composite numbers 7 13 39 97
39 is a composite numbers out of 7 13 39 97.
What is composite number?A composite number is one that can be generated by multiplying two smaller positive numbers. It is a positive integer with at least one divisor other than 1 and itself. Every positive integer is either composite, prime, or the unit 1, hence composite numbers are those that are neither prime nor a unit.
The integer 14 is a composite number, for example, since it is the product of the two smaller integers 2 7 Similarly, the numerals 2 and 3 are not composite numbers because they can only be divided by one and themselves.
Learn more about composite number
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Two cylindrical science beakers are similar. The smaller beaker has a radius of 2 centimeters and a height of 4 centimeters. Its volume is
about 50 cm. The larger beaker has a height of about 16 centimeters.
Approximately what is the volume of the larger beaker?
A. 3,200 cm
OB. 1,600 cm
OC. 800 cm
OD. 200 cm
Answer:
itsa 1200 B
Step-by-step explanation:
On the coordinate plane, the segment from X(–
2,2) to Y(8,2) forms one side of △XYZ. The triangle has an area of 20 square units. Select all of the points where Z could be
0,6; 8,6; 4,2; 7,-2
The coordinates of Z will be Z(8,6) and Z(4,2)
The formula for the area of triangle is given as :
A = 1/2 * b * h
where , b = base
h = height
We have been a ΔXYZ with coordinates of
X(-2,2) and Y(8,2)
Also the given area is 20 sq. units
We need to find the coordinates of Z from the given question.
First we will find the length of XY which is
XY = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2}- y_{1}) ^{2} } \\[/tex]
= √(8+2)² + (2-2)²
= √100
= 10 units
Let z= (0,6)
distance of YZ = √(0-8)² + (6-2)²
= √64+ 16
= √80
Area = 1/2 * 10* 4√5 = 20√5 ≠ 20
Let Z = (8,6)
distance of YZ = √(8-8)² + (6-2)²
= √16
= 4
Area = 1/2 * 10* 4 = 20
let Z = (4,2)
distance of YZ = √(4-8)² + (2-2)²
= √16
= 4
Area = 1/2 * 10* 4= 20
Let Z = (7,-2)
distance of YZ = √(7-8)² + (-2-2)²
= √1 + 16
= √17
Area = 1/2 * 10* √17 = 5√17 ≠ 20
Hence the coordinates of Z will be Z(8,6) and Z(4,2) as putting these value we get area equal to 20 square units.
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PLEASE HELP ME FAST!!! THIS IS DUE TODAY I JUST NEED TO GRAPH THE EQUATION
Answer: Put the problem into Desmos Graphing Calculator
Step-by-step explanation:
In a three digit number, the tens digit is equal to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits are reversed, the new number is 11 less than half the original number. Find the original number.
572
Olive Boi is funny, he answered 123 l m f a o
Answer:
572
Step-by-step explanation:
Tens is T, Hundreds is H, and Units is U.
T=H+U
H=U+3
HTU÷2-11=UTH
From this point, I just started guessing. Sorry.
Subtract (-2x² +3x-5) from( 6x2 -4x+2)
Answer:
8x² - 7x + 7
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(6x² - 4x + 2) - (-2x² + 3x - 5)
Step 2: Simplify
Distribute negative: 6x² - 4x + 2 + 2x² - 3x + 5Combine like terms (x²): 8x² - 4x + 2 - 3x + 5Combine like terms (x): 8x² - 7x + 2 + 5Combine like terms (Z): 8x² - 7x + 7In the currency pair USD/CAN, USD is what currency?
please help do this am struggle
Answer:that's hard
Step-by-step explanation:
Which of the tables represents a function? (5 points)
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Answer:
Step-by-step explanation :The input-output table is able to “depict the relationship between different sectors of the national economy, and the structural connection of production and final demand in a consistent manner” (KSH, 2005, p. 5). A basic requirement of the table is symmetry, which means that sectoral output and use have to be equal.
im not sure though hope this kinda helps
( 7.9 ) + 4.2 x ( 6.5 - 5.7 )
Answer:
11.26
Step-by-step explanation:
6.5 - 5.7 = 0.8Plug 0.8 in: (7.9) + 4.2 × (0.8)4.2 × 0.8 = 3.36Plug 3.36 in: 7.9 + 3.367.9 + 3.36 = 11.26I hope this helps!
While riding in the car on the highway, Jason notices a sign that says the exit is one mile away and begins counting seconds
It took 60 seconds to get to the exit from that sign. How fast is in mph, is the car going?
11) There are 5 grams of sugar in one 1⁄2 cup serving of Stephanie’s cereal. Write an equation to express how many grams of sugar are in 3 cups of cereal.
Answer:
60 mph
Step-by-step explanation:
1 min to go 1 mile, 60 minutes per hour, 60 x 1=60
Seven more than three times a number is twenty-eight.
Write the equation for this problem and solve it.
Answer:
7+3n=28 and the answer would be n=7
Step-by-step explanation:
7+3n=28 subtract 7 on both sides, that would leave 3n=21, divide 3 on both sides, the answer would be n=7 if I'm correct. I hope I helped.
TIMED PLEASE HURRY WILL MARK BRAINLIEST
In the world’s coldest freezer, sodium gas was cooled to a temperature of 78.5°C below zero and then cooled 194.65°C more. What was the new temperature of the sodium gas? –273.15°C –272.7°C –202.5°C –116.15°C
Answer:
The answer is A) –273.15°C, good luck!
Answer:
its a
Step-by-step explanation:
Anyone know the answer ?
Answer:
The area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
Step-by-step explanation:
Given
height or length = l = 6x³width = w = 3x³+8x²+xWe know that Area of the rectangle
A=wl
= (3x³+8x²+x) × (6x³)
[tex]=\left(6x^3\right)\times \:3x^3+\left(6x^3\right)\times \:8x^2+\left(6x^3\right)x[/tex]
[tex]=3x^3\left(6x^3\right)+8x^2\left(6x^3\right)+x\left(6x^3\right)[/tex]
[tex]=18x^6+48x^5+6x^4[/tex]
Thus, the area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
The table below shows last year's gross income, standard deduction, and
number of exemptions for four different workers.
"d/
Gross
Income
Standard
Deduction
Number of Exemptions at
$3650 Each
Clara
$61,788
$5700
1
Esther $66,837
$8350
2
Jerry
$67,902
$5700
3
Leo
$63,478
$8350
1
Assuming that each worker used the standard deduction and that none of the
workers had any additional adjustments, which worker had the lowest taxable
income last year?
A. Esther
B. Clara
C. Leo
O D. Jerry
Answer:
I am pretty sure answer is Leo he has the lowest dollar amount with the lowest number of exemptions that is how I did the one I just took and did fine
Step-by-step explanation:
the ratio of boys and girls in class is 3:2 Tthere are 15 boys how many total of boys and girls are in class
Answer: 15 boys and 10 girls
Step-by-step explanation:
15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.
Answer:
25
Step-by-step explanation:
3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)
15+10=25 total boys and girls
In the attachment count the shaded, and the total amount make it to a fraction, and then simplify to make it to a percentage
Answer:
30/75 2/5
Step-by-step explanation:
there are 30 shaded squares, and a total of 75 squares. Therefore the fraction is 30/75. This can be simplified to 2/5 if both sides are divided by fifteen.
To make a percentage, simply divide 2 by 5 which equals 0.4 = 40%
Solve.
³+y+z
3x-2y+22-2
−2x−y+3z − −4
Enter your answer, in the form (z,y,2).
6
Answer:
(2, -6, 1)
Step-by-step explanation:
Multiplying the first equation by 2 yields 4x+2y-2z = -6.
Adding this to the second equation, we get 9x=18, and thus x=2.
From the third equation, we know z=1.
From the first equation, it follows that y = -6.
What is an equation of the line that passes through the points (-3, 3)
and (-6, 2)? Put your answer in fully reduced form.
Answer:
y=[tex]\frac{1}{3}[/tex]x +4
Step-by-step explanation:
If sin theta= 3/4and angle A is in Quadrant I, what is the exact value of tan 2theta in
simplest radical form?
Answer:
-6[tex]\sqrt{7}[/tex] /434
Step-by-step explanation: