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Ciara throws four fair six-sided dice. The faces of each dice are labelled with the numbers 1, 2, 3, 4, 5, 6 Work out the probability that at least one of the dice lands on an even number.
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The likelihood that one or more of the dice will land on an even number is 1296.
How does probability work?The likelihood of an event is quantified by its probability, which is a number. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The likelihood of an event increasing with probability of occurrence.
According to the given information:Four 6-sided dice are rolled what is the probability that at least two dice show least 2 die the same.
For 2 of the same: 5×5×642) =900
For 3 of the same: 5×643) =120
For 4 of the same: 644) =6
Combined: 900+120+6=1026
Total possibilities: 64=1296
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The probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
We can solve this problem by finding the probability that all four dice land on odd numbers and then subtracting this probability from 1 to get the probability that at least one of the dice lands on an even number.
The probability that one dice lands on an odd number is 3/6 = 1/2, and the probability that all four dice land on odd numbers is:
(1/2) × (1/2) × (1/2) × (1/2) = 1/16
Therefore, the probability that at least one of the dice lands on an even number is:
1 - 1/16 = 15/16
So the probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.
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which of these statements best compares the pair of line segments with the vertex
Answers
Answer:
Line segments have two endpoints and a vertex is a common endpoint where two line segments meet.
Step-by-step explanation:
A line segment is defined as a portion of a line that has two endpoints.
A vertex is defined as the common endpoint of two or more rays or line segments.
There are 120 students and 23 teachers going on a class trip. The buses used for the class trip hold at most 45 passengers. How many buses will be needed?
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Answer: 4 busses if each bus only hold 45 passengers at most.
Step-by-step explanation:
120 students
23 teachers=143 people
143 divided by 3 busses is only 47 so 3
busses wouldn’t be enough
Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2? A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1). A coordinate plane with a line passing through (negative 3, 0) and (0, 2). A coordinate plane with a line passing through (0, 2) and (2, negative 1). A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2). Mark this and return
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The first option is the correct one for the line y = x - 2:
" coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2)"
Which is the graph of the line?Here we want to identify the graph of the linear equation:
y = x - 2
First, notice that when we evaluate this in x = 0 we get the y-intercept:
y = 0 - 2
y = -2
Then the y-intercept there is (0, -2)
Also, evaluating the linear equation in x = -2, then we will get:
y = -2 - 2
y = -4
So we have the point (-2, -4)
Then the correct option is the first one:
" coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2)"
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Solve -1 4/5x = 9. 5 1/5 -5 -1/5
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Steps to solve:
-1 4/5x = 9
~Simplify
-9/5x = 9
~Multiply 5/-9 to both sides
x = 5
Best of Luck!
Answer:
5
Step-by-step explanation:
Determine the equation of the line below using the given slope and point.
Slope = m = 4 , Point (-3,-11)
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\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)
The equation is:
⇨ y + 11 = 4(x + 3)Work/explanation:
Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),
where m is the slope and (x₁, y₁) is a point on the line.
Plug in the data:
\(\rm{y-(-11)=4(x-(-3)}\)
Simplify.
\(\rm{y+11=4(x+3)}\)
Hence, the point slope equation is y + 11 = 4(x + 3).Simplified to slope intercept:
\(\rm{y+11=4x+12}\)
\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation
What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?
Answers
The three consecutive multiples of 3 are 15, 18 and 21
To solve this problem
First, let's determine three successive multiples of 3:
The subsequent two would be "x+3" and "x+6" if we call the initial number "x".
Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:
2/3(x + x+3) = (x+6) + 1
Simplifying this equation, we get:
2/3(2x+3) = x+7
Multiplying both sides by 3, we get:
2(2x+3) = 3(x+7)
Expanding and simplifying, we get:
4x + 6 = 3x + 21
Subtracting 3x and 6 from both sides, we get:
x = 15
Therefore, the three consecutive multiples of 3 are 15, 18 and 21
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Simplify the expression StartFraction a b Superscript 3 Baseline over a Superscript 4 Baseline b EndFraction plus left-parenthesis c Superscript 2 Baseline right-parenthesis Superscript 3 Baseline
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The simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
What is the simplification of the expression?The given expression is simplified as follows;
The given expression is written as;
ab³/a⁴b + (c²)³
To simplify the expression given above, we will divide the fraction with the common factor as follows;
From the numerator; ab³, we will factor out "ab"
From denominator; a⁴b, we will factor out "ab"
The resulting expression becomes;
ab³/a⁴b + (c²)³
= b²/a³ + c⁶
Note: for the power of c, we simplify by multiplying 2 and 3 = 6
Thus, the simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
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0.512
Write
recurring as a fraction.
Give your answer in its simplest form.
Answers
Answer:
\(\frac{64}{125} \)
Step-by-step explanation:
\(0.512 = \frac{512}{1000} \\ = \frac{128}{250} \\ = \frac{64}{125} \)
Which linear inequality is represented by the graph?
O y > ²/ ²x-3/1/2 -X 5
O y²³x+²/ 1
O y ≤ ² x + 1/1/0
O y< ²/x - / / -X 5
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The linear inequality depicted by the graph is: \(y \leq \frac{2}{3}x + \frac{1}{5}\)
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this line, when x = 0, y = 0.2, hence the y-intercept is of b = 0.2. When x = 3, y = 2.2, hence the slope is given as follows:
\(m = \frac{2.2 - 0.2}{3 - 0} = \frac{2}{3}\)
Hence the equation of the line is:
\(y = \frac{2}{3}x + 0.2\)
\(y = \frac{2}{3}x + \frac{1}{5}\)
The inequality is the values below(less) than the line, also including it, as it is not dashed, hence:
\(y \leq \frac{2}{3}x + \frac{1}{5}\)
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Find the range of the function given the domain.
f(x) = x2 +2 ;D: {0, 0.25, 0.5, 0.75, 1}
Answers
Answer:
{2, 2.0625, 2.25, 2.5625, 3}
Step-by-step explanation:
To find the range we can simply plug in the values of the domain and solve for the range. (The domain is the x-values)
Assuming x2 means x^2, we can plug in 0, 0.25, 0.75, 0.5, and 1 for x
0^2+2=2
0.25^2+2=0.0625+2=2.0625
0.5^2+2=0.25+2=2.25
0.75^2+2=0.5625+2=2.5625
1^2+2=1+2=3
Thus, the range is {2, 2.0625, 2.25, 2.5625, 3}
A car can travel 135 miles with 5 gallons of gasoline. At this rate, how much gallons of gasoline the car needs to travel 675 miles?
Answers
Answer:
25 gallons
Step-by-step explanation:
Given
135 miles to 5 gallons
Required
Determine the number of gallons for 675 miles
From the question, number of miles is directly proportional to number of gallons:
So, we have:
\(135\ miles = 5\ gallons\)
and
\(675\ miles = x\)
Where x represents the number of gallons for 675 miles
Cross Multiply:
\(135 * x = 675 * 5\)
\(135x = 3375\)
Make x the subject
\(x = 3375/135\)
\(x = 25\)
Hence, the car needs 25 gallons
Identify the interval over which the function is increasing, decreasing or constant.
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The function increased at the right side and decreased at the left side. Looking at the graph,
The decreasing interval is
- infinity to 3
The increasing interval is
3 to infinity
An interval is constant only if it has an horizontal line. Thus, in this function,
Constant is none
ASAP
Diego deposits $4200 into a savings account that pays 5% simple interest. He decides not to touch the money until it doubles. How many years will Diego have to keep the money in the account?
Answers
Answer:
It would take 20 years for it to double
Step-by-step explanation:
5% of 4200 is 210 so then divide 4200 by 210 to find the number of years it will take for it to double and you get 20
PLEASE ANSWER ASAP!!!
Your school is planning a field trip to the zoo. There are two different bus companies that the school can use. Bus company A has a $40 rental fee plus $6 for each student. Bus company B has a $120 rental fee plus $2 for each student. How many students will need to go in order for the bus to cost the same from both companies?
Answers
Answer:
ok can you storten it.hyyyyuu7766ttt5rrrrrttttttttttyy
Answer:
20 students for $160
Step-by-step explanation:
bus a: y = 6x + 40
bus b: = 2x + 140
x = # of students | y = cost
FOR X: *set equations = to each other*
6x + 40 = 2x + 140 *subtract 2x from both sides*
4x + 40 = 120 *subtract 40 from both sides*
4x = 80 *divide by 4 on both sides*
x = 20
FOR Y:
y = 6x + 40 *plug in 20 for x and solve*
y = 6 (20) + 40
y = 120 + 40
y = 160
What is the best way to learn percentage?
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Answer: To write a percentage as a decimal, simply divide it by 100. For example, 50% becomes 0.5, 20% becomes 0.2, 1% becomes 0.01 and so on. We can calculate percentages using this knowledge. 50% is the same as a half, so 50% of 10 is 5, because five is half of 10 (10 ÷ 2).
Step-by-step explanation:
Mr Rahim bought a set of furniture at a 30% discount. The discounted price was $360 less than the usual price. GST is 7% of the discounted price. How much did he pay for the furniture set?
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Answer:
I LOVE YOU I LOVE YOU I LOVE YOU I LOVE YOU
(PLEASE ANSWER ASAP)
Answers
Answer:
alternate interior angles are congruent
using a=12bh what is an equation to represent the area of a triangle?
Answers
Answer:
1/2 base × height
Step-by-step explanation:
a triangle has three sides and if we divide it into two, we have two right angle triangle in which we are using one part. that why it is 1/2 base x height
Answer:
You legit just told yourself
Step-by-step explanation:
\(\frac{1}{2}*b*h\) IS the equation to represent the area of a triangle.
in a certain regular polygon, the measure of each interior angle is four times the measure of each exterior angle. find the number of sides in this regular polygon. (based on problem 9.23 in the textbook)
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Therefore, the number of sides in this certain regular polygon is 10.
In a certain regular polygon, the measure of each interior angle is four times the measure of each exterior angle. This means that the interior angle and the exterior angle are supplementary, or add up to 180 degrees. We can use this information to create an equation and solve for the number of sides in the regular polygon.
Let x be the measure of the exterior angle and 4x be the measure of the interior angle. Then we have:
x + 4x = 180
5x = 180
x = 36
Now, we know that the sum of the exterior angles in a regular polygon is always 360 degrees. So we can use this information to find the number of sides:
360/x = 360/36 = 10
Therefore, the number of sides in this certain regular polygon is 10.
Answer: 10.
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It's possible to create a regular tessellation with a regular heptagon.
Answers
Answer:
False, No.
Step-by-step explanation:
No, it is not possible to create a regular tessellation with a regular heptagon. A regular tessellation, also known as a tiling, is a repeating pattern of identical regular polygonal shapes that cover a plane without any gaps or overlaps. The only regular polygonal shapes that can be used to form a regular tessellation are the equilateral triangle, square, and hexagon. These shapes have interior angles that are multiples of 60 degrees, which allows them to fit together seamlessly to form a repeating pattern. The interior angle of a regular heptagon is roughly 128.5714 degrees, which does not divide evenly into 360 degrees, so it cannot be used to form a regular tessellation.
A line passes through the point (-4,9) and has a slope of
4.
Write an equation in point-slope form for this line.
Answers
Answer:
y = 4x - 7
Step-by-step explanation:
Given the following data;
Points (x, y) = (4, 9)
Slope, m = 4
To write the equation in point-slope form;
The equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
First of all, we would find the intercept c;
9 = 4*4 + c
9 = 16 + c
c = 9 - 16
c = -7
Next, we write the equation in point-slope form;
m = 4 and c = -7
y = 4x - 7
The answer would be “Yes” right? Just double checking :)
Answers
Answer:
yes
Step-by-step explanation:
its correct because opposite sides are parallel
Answer:
yes
Step-by-step explanation:
\(0=24-16t^2\)
Answers
Answer:
Step-by-step explanation: Simplify both sides of the equation.
0=−16t2+24
Step 2: Add 16t^2 to both sides.
0+16t2=−16t2+24+16t2
16t2=24
Step 3: Divide both sides by 16.
16t^2/16=24/16
t^2=3/2
Step 4: Take square root.
t=± √ 3/2
t=1.224745,−1.224745
find in factord form -9n+n^2=0
Answers
Answer:
n(-9+ n) =0
Step-by-step explanation:
-9n+n^2=0 Kind of use 'reverse distributive' property
n (-9 + n) = 0
Lisa recorded a 2-hour television show. When she watched it, she skipped the commercials. It took her
84 minutes to watch the show. How many minutes did she save by skipping the commercials?
Answers
Answer:
36 minutes
Step-by-step explanation:
2 hours in minutes is 120
120-84
36 minutes
If mikes salary is $62,500 this year and next year he will get 5.5% increase in salary. How much is his new salary.
Plssss answer
Answers
Answer:
65,937.5
Step-by-step explanation:
Answer:
$65,937.5
Step-by-step explanation:
5.5%× 62500= $3,437.5
$62,500+ $3,437.5= $65,937.5
2 x 5 x 0 please help
Answers
0
0 multiplied by anything is going to always be 0
casey draws a rectangle array that is 1,167 units long and 7 units wide. what is the area of caseys array?
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The Casey's rectangular array that is 1,167 units long and 7 units wide has an area of
8169 square unitsHow to calculate the area of the rectangleThe formula for the area of a rectangle is the product of length and wide. This is written mathematically as
= length * wideness
In the problem the rectangular array made by Casey has a the following dimensions
length = 1167 units
wide = 7 units
Area of rectangle = length * wideness
substituting the values
Area of rectangle = 1167 * 7
Area of rectangle = 8169 square units
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Cindy works 4c hours each day from Monday to Friday. She works 7c on Saturday. Cindy does not work on Sunday. Find the number of hours Cindy works in one week in terms of c