The probability of rolling a sum of six or two even numbers.
is P = 1/3
How to find the probability?
Here we are rolling two dice, and each dice has 6 possible outcomes, then the total number of outcomes is:
6*6 = 36
Now, the outcomes that given a sum of 6 are:
dice 1 dice 2.
1 5
5 1
2 4
4 2
3 3
We have 5 outcomes there.
The outcomes where both numbers are even are:
dice 1 dice 2.
2 2
2 4
4 2
4 4
4 6
6 2
6 4
6 6
We have 8 outcomes here (such that 2 are in the ones we counted before).
Then the total number of outcomes that either add to 6 or have both even numbers are:
5 + 8 - 2 = 12
Then 12 out of 36 outcomes either add to 6 or have both even numbers, this means that the probability is:
P = 12/36 = 1/3
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two less than y is subtracted from x
Answer: x- (y-2)
Step-by-step explanation:
Two less than y would be y-2,
Then you just subtract it from x
Does the graph represent a function?
It is true that the graph represents a function
How to determine if the graph represent a function?For a graph to represent a function, the following must be true
Each x value on the graph must point to exactly one
The above means that the function must pass the vertical line test
The given graph would pass the vertical line test
This is so because:
Each x value on the graph points to exactly one
Hence, the graph represents a function
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Quick algebra 1 question for 50 points!
Only answer if you know the answer, Tysm!
Answer:
x=1
Step-by-step explanation:
2/3(9x-6) = 1/4(12-4x)
We want to solve for x
Distribute
6x-4=3-x
Add x to each side
6x-4+x = 3-x+x
7x-4 = 3
Add 4 to each side
7x-4+4 = 3+4
7x=7
Divide by 7
7x/7 = 7/7
x=1
Answer:
x = 1
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] (9x - 6) = [tex]\frac{1}{4}[/tex] (12 - 4x) ← distribute parenthesis on both sides
6x - 4 = 3 - x ( add x to both sides )
7x - 4 = 3 ( add 4 to both sides )
7x = 7 ( divide both sides by 7 )
x = 1
The logarithmic function j(x) is defined as j(x)=log(x+5)−1. The graph below shows the logarithmic function k(x).
Which statement about the two functions is true?
A
Both functions have the same vertical asymptote.
B
Both functions have a domain of all real numbers.
C
The x-intercept of k(x) is greater than the x-intercept of j(x).
D
Function j(x) is greater than function k(x) for all values of x.
The correct statement regarding the logarithmic functions is:
C The x-intercept of k(x) is greater than the x-intercept of j(x).
What is the domain of a logarithmic function?A composite logarithmic function f(x) = log(g(x)) has the domain of g(x) > 0.
What are the vertical asymptotes of the logarithmic functions?For the function j(x), we have that it is at:
x + 5 = 0
x = -5.
For the function k(x), we have that it is at x = 5 from the graph.
What are the x-intercepts of the functions?For the function j(x), we have that:
log(x + 5) - 1 = 0
log(x + 5) = 1
10^[log(x + 5)] = 10^1
x + 5 = 1
x = -4.
For k(x), from the graph, it is at x = 6, hence option C is correct.
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What is a sample statistic give examples give examples. (select all that apply.)
A sample statistic is a numerical descriptive measure of a sample.
What is a sample statistic?A sample statistic is a numerical metric that describes a sample. A statistic (plural) or sample statistic is any quantity generated from values in a sample for statistical purposes. Estimating a population parameter, characterizing a sample, or testing a hypothesis are all statistical goals. A statistic is the average (or mean) of sample values. The term statistic refers to both the function and the function's value on a particular sample. When a statistic is utilized for a certain purpose, it may be given a name that indicates that purpose.The three examples are - x bar, s, s^2, p hatTherefore, a sample statistic is a numerical descriptive measure of a sample.
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The complete question is given below:
What is a sample statistic?
A _____descriptive measure of a _____.
Give three examples. (Select all that apply.)
Towns A, B, and C lie on a straight line, as shown below. Jack and Arthur start at Town B and drive for an hour from Town B to Town C, where they stop for an hour to eat lunch. Which of the following graphs could represent their distance from Town A during these two hours?
Considering the situation described, it can be graphed by the first function.
Which graph models the situation?Cities A, B and C are on a straight line.
On the first hour, they leave town B to town C, moving farther from Town A, hence the distance is increasing on the first hour.On the second hour, they stop for lunch, meaning that the distance remains constant at the point it was at the end of the first hour.Hence, the first graph is the correct one for this problem.
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The population of Dorchester in 2012 was 294,680. This reflected a 6% increase from the year 1999. What was the population in 1999?
The population of Dorchester in 1999 is 277000.
According to the statement
we have given that the population in 2012. and given that the it is increased 6% from the year 1999. And we have to find the population in 1999.
So, For this purpose,
we have given that the number of
population of Dorchester in 2012 = 294,680
increased from year 1999 = 6%
So, here we use percentage and subtraction formula
Population increase in numbers = 6/100*294,680
Population Increase in numbers = 17680
So, Population in 1990 = population of Dorchester in 2012 - Population increase in numbers
Population in 1990 = 294,680 - 17680
Population in 1990 = 277000.
So, The population of Dorchester in 1999 is 277000.
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A contractor is excavating a ramp into a trench for a construction project. How much dirt will the crew have to remove? To answer, find the volume of the triangular prism in the figure shown. Opening 4 x 6, ramp 8'deep
The piecewise defined function f(x) is graphed below what is the value of f(5)
Considering the piecewise function, it is found that f(5) is given by:
f(5) = -1.
What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
To find the value of f(5) looking at the graph, we have to find y when x = 5. Researching this graph on the internet, we have that, when x = 5:
There is an open circle at y = 3.There is a closed circle at y = -1.The definition is at the closed circle, hence f(5) is given by:
f(5) = -1.
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Find the missing length indicated.
The value of the missing length in the image shown using the Pythagoras theorem is x = 1500
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let h represent the missing red line. Using Pythagoras:
x² = h² + 900²
h² = x² - 900²
Also:
r² = h² + 1600²
r² = x² - 900² + 1600²
And:
(1600 + 900)² = r² + x²
(1600 + 900)² = (x² - 900² + 1600²) + x²
x = 1500
The value of the missing length in the image shown using the Pythagoras theorem is x = 1500
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The graph of the function g(x) = -x is shown on the grid below.
Graph the function h(x) = -x +2+3 in the interactive graph.
←++
-9-8-7-6-5-4-3-2
888610321
9
Y
7+
6+
5+
4+
3.
2.
-2-
-3+
-4+
-5+
-6+
$7
-8+
69
-9.
2 3 4 5 6 7 8 9
y= g(x)
→x
The graph is shown in the attached image.
The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.
This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).
The graph is given below.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of y = -x is a straight line that passes through the origin and has a slope of -1.
It extends infinitely in both directions and has a negative slope, which means that as x increases, y decreases.
The graph of y = |x + 2| - 3 is a bit more complex.
The absolute value function |x + 2| means that the value of x + 2 is taken, and then the absolute value of that value is calculated.
The absolute value function always returns a positive value, so the graph of y = |x + 2| is a V-shaped curve that opens upwards and passes through the point (-2, 0).
The minus sign outside the absolute value function means that the entire curve is reflected about the x-axis, so the graph of y = -|x + 2| is also a V-shaped curve, but this time it opens downwards.
Finally, the +3 at the end of the equation means that the entire graph of
y = -|x + 2| is shifted upwards by 3 units.
Thus,
The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.
This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).
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Viviana is tracking the number of calories she burns working out. Her watch
tracker says she burned 596 calories in 1 hour. Approximately how many calories
did she burn per minute? Round to the nearest tenth.
Answer:
9.93 calories
Step-by-step explanation:
If 596 calories = 1h
then ?? calories =1m
since 1h=60 min
>>( 1/60)×596
=9.93 calories
Practising
and Applying
1. Write each radial in simplified form.
a) √48
b) √ 1000
Answer:
[tex]\Large\boxed{a)~4\sqrt{3} }[/tex]
[tex]\Large\boxed{b)~10\sqrt{10} }[/tex]
Step-by-step explanation:
Question a). √48Given term
[tex]\sqrt{48}[/tex]
Factorize 48 inside the radical sign
[tex]\sqrt{2\times2\times2\times2\times3}[/tex]
Combine terms to form squares
[tex]\sqrt{2^2\times2^2\times3}[/tex]
Simplify the radical sign
[tex](2\times2)\sqrt{3}[/tex]
[tex]\Large\boxed{4\sqrt{3} }[/tex]
Question b) √1000Given term
[tex]\sqrt{1000}[/tex]
Factorize 1000 inside the radical sign
[tex]\sqrt{2\times2\times2\times5\times5\times5}[/tex]
Combine terms to form squares
[tex]\sqrt{2^2\times5^2\times2\times5 }[/tex]
Simplify the radical sign
[tex](2\times5)\sqrt{2\times5}[/tex]
[tex]\Large\boxed{10\sqrt{10} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Practical Problem 2
Provide a practical problem below that you will use to represent inverse variation. The problem should be written in complete sentences.
Steps and Work:
List each step for solving the inverse variation practical problem and the work that corresponds with each step.
Answer
Give the correct answer that the app user is being asked to find.
The steps to solve the inverse variation will be:
Write the variation equation: y = k/x or k = xySubstitute in for the given values and find the value of kRewrite the variation equation: y = k/x with the known value of kSubstitute the remaining values and find the unknownHow to illustrate the variation example?The example will be y varies inversely with x and y = 2 when x = 5. Find y when x = 30
Step 1: Write the variation equation: y = k/x or k = xy:
k = xy
Step 2: Substitute in for the given values of x and y:
k = (2)(5) = 10
Step 3: Rewrite the variation equation: y = k/x with the known value of k (10):
y = 10/x
Step 4: Substitute the remaining values and find the unknown:
y = 10/30
y = 1/3
Therefore, y is 1/3 when x is 30.
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What is the factored form of 5x − 625x4
Options:
A. 5x(1 + 5x)(1 - 5x + 25x2)
B. 5x(1 - 5x)(1 + 5x + 25x2)
C. (1 - 5x)(1 + 5x + 25x2)
D. (1 + 5x)(1 - 5x + 25x2)
Answer:
B
Step-by-step explanation:
5x - 625[tex]x^{4}[/tex] ← factor out 5x from each term
= 5x(1 - 125x³) ← this factor is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
1 - 125x³
= 1³ - (5x)³
= (1 - 5x) (1² + 5x(1) + (5x)² )
= (1 - 5x) (1 + 5x + 25x²)
Then
5x - 625[tex]x^{4}[/tex] = 5x(1 + 5x + 25x²)
pls solve this. this is of set class 9.
Here is the answer :
people who like both the songs is 35 and
people who like only folk songs is 100.
Austin is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance for the employees of the company: Unlimited and Traditional, Austin wants to deterrine, for workers in the tech Industry, if the yearly mean number of vacation days taken by workers with an Unlimited plan is greater than the yearly mean number of vacation days taken by workers with a Traditional plan Austin surveys a random sample of 17 workers who have the Unlimited plan and a random sample of 15 workers who have the Traditional plan. (These samples are chosen independently.) For each worker, he records the number of vacation days taken last year. For the workers with an Unlimited plan, the sample mean is 18.9 with a sample variance of 30.8. For the workers with a Traditional plan, the sample mean is 17.4 with a sample variance of 6.1 Assume that the two populations of vacation days taken are approximately normally distributed. Can Austin conclude, at the 0.10 level of significance, that the population mean of the yearly number of vacation days taken by workers with an Unlimited plan is greater than the population mean of the yearly number of vacation days taken by workers with a Traditional plan? Perform a one-talled test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, (If necessary, consult a list of formulas.) (*) State the null hypothesis and the alternate hypothesis (a) Determine the type of test statistic to use (a) state the null hypothesis H, and the alternate hypothesis (b) Determine the type of test statistic to use. (c) Find the value of the test statistic (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places) (e) At the 0.10 level of significance, can Austin conclude that the yearly mean number of vacation days taken by workers with an Unlimited plan is greater than the yearly mean number of vacation days taken by workers with a Traditional plan?
The question requires that we have to state the hypothesis:
null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.
A. How to state the hypothesisH0: u1 < u2
H1: u1 > u2
The one tail test statistic is what is to be used here
B. standard error[tex]\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }[/tex]
= 1.49
The df = 17 + 15 - 2
= 30
test statistic = 18.9 - 17.4 / 1.49
= 1.007
We have the critical value on excel as T.INV(0.9,30)
= 1.310
E. At 0.1, we can conclude that t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.
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Use 3.14 for pi. ROUND FINAL ANSWER TO TENTHS!
2461,8
hope this helps!! just use the formulas and substitute
this is my last ever question on brainly.com
please help
A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
What is a line plot?A line plot can be defined as a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
What is a mean?In Mathematics, a mean is also referred to as an arithmetic average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
Mathematically, the distance between the means of both classes A and B is given by:
Distance = Mean of class A - Mean of class B
Distance = 12 - 4
Distance = 8.
The mean absolute deviation (MAD) for class A is given by:
MAD A = 1/9[2(9 - 12) + (10 - 12) + (11 - 12) + (12 - 12) + (13 - 12) + (14 - 12) + 2(15 - 12)]
MAD A = 1/9[2(3) + (2) + (1) + 0 + (1) + (2) + (1) + 2(3)]
MAD A = 1/9[6 + 2 + 1 + 1 + 2 + 1 + 6]
MAD A = 1/9 × [18]
MAD A = 18/9
MAD A = 2.
Also, the mean absolute deviation (MAD) for class B is given by:
MAD B = 1/9[2(1 - 4) + (2 - 4) + (3 - 4) + (4 - 4) + (5 - 4) + (6 - 4) + 2(7 - 4)]
MAD B = 1/9[2(3) + 2(2) + (1) + (0) + (1) + (2) + 2(3)]
MAD B = 1/9[6 + 4 + 1 + 0 + 1 + 2 + 6]
MAD B = 1/9 × [18]
MAD B = 18/9
MAD B = 2.
Therefore, distance between the means = four (4) times the MAD.
Distance = Means × MAD
8 = 4 × 2.
In conclusion, we can infer and logically deduce that there is no overlap and the distance between the means of both classes A and B is between one (1) times the MAD and five (5) times the MAD.
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number 14 part 1 pls
Given
[tex]7 - px - x^2 = 16 - (q + x)^2[/tex]
expanding the right side gives
[tex]7 - px - x^2 = 16 - (q^2 + 2qx + x^2)[/tex]
[tex]7 - px - x^2 = 16 - q^2 - 2qx - x^2[/tex]
Two polynomials of equal degree are the same if their coefficients are identical. This means
[tex]\begin{cases}16 - q^2 = 7 \\ -2q = -p\end{cases}[/tex]
[tex]16 - q^2 = 7 \implies q^2 = 9 \implies q=\pm3[/tex]
[tex]-2q = -p \implies p = 2q = \pm6[/tex]
Both [tex]p[/tex] and [tex]q[/tex] are positive, so [tex]\boxed{p=6}[/tex] and [tex]\boxed{q=3}[/tex].
y= 8x +10 is this nonlinear or linear
Answer:
linear
Step-by-step explanation:
This is a line with slope m = 8 and y-axis intercept of 10
Answer:
linear
Step-by-step explanation:
y = 8x + 10
is an equation in the form y = mx + b.
The form y = mx + b is called the slope-intersect form of the equation of a line.
Since it is the equation of a line, it is linear.
Simplify 10 times the square root of quantity 3 x end quantity plus 4 times the square root of quantity 3 x end quantity plus 5 times the square root of quantity 3 x end quantity. 9 times the square root of quantity 3 x end quantity 9 times the square root of quantity 6 x end quantity 19 times the square root of quantity 3 x end quantity 19 times the square root of quantity 9 x cubed
The square root of the quantity x plus 7 end quantity minus 1 equals x=2.
What is square root?A number's square root is the factor that can be multiplied by itself to yield that number. Square root of, end square root is the symbol for square root. Finding an integer's square root is the inverse of squaring a number.To find the square root:
√(x + 7) − 1 = x√(x + 7) = x + 1x + 7 = (x + 1)²x + 7 = x² + 2x + 10 = x² + x − 60 = (x + 3) (x − 2)x = -3 or 2Check for extraneous solutions:
√(-3 + 7) − 1 = -3√4 − 1 = -32 − 1 = -31 = -3x ≠ -3√(2 + 7) − 1 = 2√9 − 1 = 23 − 1 = 22 = 2x = 2Therefore, the square root of the quantity x plus 7 end quantity minus 1 equals x = 2.
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The correct question is given below:
The square root of the quantity x plus 7 end quantity minus 1 equals x
Solve for x.
x/3 ≤ −6
x / 3 ≤ -6
---Multiply both sides by 3 to cancel out the denominator on the left side
x ≤ -18
Hope this helps!
Answer:
x=18 we multiply both 6and312. Diameter,
A = 72Pie
(Circle)
Answer:
6.98
Step-by-step explanation:
I think that you are looking for the diameter and you are given the area of a circle.
a =[tex]\pi r^{2}[/tex] You are given pi, so [tex]r^{2}[/tex] = 72.
That means that r = [tex]\sqrt{72}[/tex] or a rounded answer of 8.49 rounded to the hundreds place. The diameter is equal to 2 radius, so the diameter rounded is 16.98
The net of a cylinder has two parts.
True False
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
The net of a cylinder has a rectangle for the lateral area and 2 circles for the bases, so it has 3 parts.
Answer: False
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
The answer is C- Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
algebra 2: graph question
what is the value of a?
what is the value of b?
(graph attached)
Answer:
a = 3.14
b = 6.28
Step-by-step explanation:
The interval where the function is decreasing is where increasing x values result in decreasing y values. The y values peak at the point (3.14, 2) and decrease until the point (6.28, 0) where the function starts increasing again.
Mrs. washington has a small fenced-in, rectangular play area behind her house for her dog. there is 80 feet of fencing around the perimeter of the play area, and the width is 14.8 feet. mrs. washington needs to buy new sod to cover the entire area of play space. if sod costs $1.50 per square foot, how much will it cost mrs. washington to buy enough sod for the entire play area?
Answer:
$1118.88
Step-by-step explanation:
Lets start by finding all sides of the perimeter to get an accurate measure of the area.
We know the width is 14.8 feet, that means the opposite side also equals 14.8 feet.
Now the other two sides must sum to 50.4 (80-(14.8*2)) and be equal, so we can divide 50.4 by two to get 25.2 for the other two sides.
Now we can calculate area by multiplying one from each side:
[tex]14.8*50.4=745.92[/tex]
Now to find the price of required sod, multiply the area by cost per square foot
[tex]745.92*1.50=1118.88[/tex]
Therefore it will cost 1118.88 dollars to cover the entire area in sod.
What is this expression in simplified form?
4/14 - 11/14
Answer:
baiBsiasbisvdxhsbhssj
Answer:
-1/7
is the answer of your question
Which value is a solution for the equation tan/2=-1
The value of the solution is 3π/2.
What is a trigonometric equation?
An equation involving one or more trigonometric ratios of unknown angles is called a trigonometric equation.
tan x/2 = -1
tanx/2 = tan(-π/4)
tanx=tanФ
⇒ The general equation of tanx=tanФ is
⇒ x=nπ+Ф
x/2=nπ+(-π/4)
at n=0
x/2=-π/4
x=-π/2
at n=1
x/2=π-π/4
x/2=3π/4
x=3π/2
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Questions: Which value is a solution for the equation tan x/2 = -1?
A. 5pi/4
B. 7pi/4
C. 3pi/4
D. 3pi/2