approximate 68% interval (remember empirical rule: approx. 68% of data within 1 tand. Deviation of mean) for the number of frozen chicken that may be contaminated is (271.02, 328.98) = (271, 329)
Suppose number of trials, n = 1000
And number of defective chickens is within 1 standard deviation of the mean :
Mean = np ; p = 0.3
Mean = 1000 * 0.3 = 300
Standard deviation (s) : sqrt(np(1-p))
s = sqrt(1000 * 0.3 * 0.7)
s = sqrt(210)
s = 14.49
2 standard deviations of the mean: and interval
Mean ± 2s
Lower bound : 300 - 2(14.49) = 271.02
Upper bound : 300 + 2(14.49) = 328.98
(271.02, 328.98) = (271, 329)
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6. It took Mrs. Whitaker's class 4 hours to build a snowman.
They decided to build a second snowman, but this time it took
only half the time it took to build the first one. What was the
total amount of time to build both?
The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
1st snowman took time t = 4 hours
2nd snowman take half of the first t / 2 = 2 hours
so total time
= t + t/2
= 4 + 2
= 6 hours
The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.
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HELP THIS IS URGENT!!!!!!!!!!
Find the percent decrease from 133 to 120. Round your answer to the nearest tenth
PLEASE MARK BRAINLIEST
Find the percent decrease from 133 to 120. Round your answer to the nearest tenth
1. Subtract
133-120= 13
2. Find
13/133 x 100
1300/133
= 9.77443609
3. Round
9.77 rounded is 9.8
Answer: 9.8%
Answer:
9.8 is your answer
the percentage decrease from 133 to 120 is 9.7744
but rounded to the nearest tenth is 9.8
How many one-cup servings of milk are in a two-liter bottle? Round your answer to the nearest tenth.
____________one-cup servings
The number of cups of serving that is possible in a two-liter bottle is 8.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 1 liter is equal to 4 cups.
Therefore, The number of cups serves possible in a two-liter bottle is,
= (2×4) cups.
= 8 cups.
So, 8 cups of servings are possible from a two-liter bottle.
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10. Jim estimates the width of his wall to be 7.5 feet. The actual wall measures 8.25 feet wide. What is
Jim's percent error?
Answer:
Below
Step-by-step explanation:
Error : (8.25 - 7.5)
% error : ( 8.25-7.5) / 8.25 * 100% = 9.1 %
Jim's percent error is 9.09%.
What is the percentage error?
The percentage error is given as the difference between the actual value and the estimated value divided by the actual value, multiplied by 100%.
The percentage error is a relative value that compares the actual value and the estimated value to explain any deviations.
Estimated width of wall = 7.5 feet
The actual width of the wall = 8.25 feet
The difference in estimate = (8.25 - 7.5) = 0.75 feet
Percentage Error = (0.75/8.25 x 100) = 9.09%
Thus, we can conclude that Jim made a percentage error of 9.09% in his estimate of the width of the wall.
What is the equation of the line graphed below?
Answer: -2/3x is the slope and the beginning amount is 5 so the equation would be -2/3x+5.
Step-by-step explanation:
Once you find the slope using the formula rise/run you will get 2/3 but since the slope is going downwards it would be -2/3 which gives you the mx. Now to find the beginning amount look where the line intersects the graph which will give you the equation.
a) which group has lower mode.
b) what is this mode?
The easiest way to determine the mode of any data set, is to figure out which number appears most frequently, or most common.
You can take all of the numbers and count how many times each number appears. The number that appears the most is called the mode.
In the first pie chart (Group A), we can see that the orange piece is the biggest, therefore the most common. The orange piece has equal value to 4.
In the next group (Group B), we can determine the mode by looking at the highest bar, which would be 5.
4 is less than 5, which means that the answer to this question would be Group A.
During a science experiment, a chemist boils a liquid and then sets it on the lab table and records the temperatures as it cools. The graph shows , the temperature in degrees Centigrade, and is the number of after the liquid is set on the table. Liquid Temperature Time () Which equation is the best model for this data?
The exponential function that best models this data is given as follows:
C. y = 80(0.75)^x + 20.
How to define the exponential function?An exponential function, considering it's asymptote, is defined as follows:
y = a(b)^x + c.
In which the parameters are given as follows:
a is used to define the initial value.b is the rate of change.c is the horizontal asymptote.From the graph, the horizontal asymptote is at y = 20, hence the parameter c is defined as follows:
c = 20.
When x = 0, y = 100, hence the parameter a is obtained as follows:
100 = a(b)^0 + 20
a + 20 = 100
a = 80.
When x = 5, y = 40, hence the parameter b is obtained as follows:
40 = 80b^5 + 20
80b^5 = 20
b^5 = 1/4
b = (1/4)^(1/5)
b = 0.75. (approximately).
Hence the function is defined as follows:
y = 80(0.75)^x + 20.
Meaning that the correct option is given by option C.
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What is the x-intercept of 2x y =- 4?
The x-intercept will be -2.
Now, According to the question:
How do you find the x-intercept?
To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y.
Here the equation is 2x-y = -4.
For finding the x-intercept
let us put the value of y as 0 we get,
2x−0=−4
⇒2x=−4 .
Dividing both sides by 2 we get,
2x2=−4/2⇒x=−2 .
Therefore, the x-intercept is -2.
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Ali, ben and cathy hare an amount of money in the radio 8:9:10 what fraction of the money doe ben get?
There are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.
What do you mean of ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
How to find the ratio?Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10.
For n/(8+9+10), where n is an integer <27
Ali : Ben : Cathy
8 : 9 : 10
Thus, there are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.
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At the candy store, Julie found a special scale that would measure the number of pounds, p, of candy and then calculate the cost, c, when you typed in the name of the candy. For her favorite candy, chocolate gummy bears, she wrote this table.
p c
0.25 1.69
0.45 3.04
0.75 5.06
1.25 11.81
Choose all of the following statements that are true.
Select one or more:
a.
A reasonable domain is [-1, 100]
b.
A reasonable domain is (0, 50] .
c.
c = 6.75p
d.
none of these
e.
A reasonable range is [0, 20].
The true statement about the function in the list of options is (d) none of these
How to determine the true statements in the list of optionsFrom the question, we have the following parameters that can be used in our computation:
p c
0.25 1.69
0.45 3.04
0.75 5.06
1.25 11.81
Where
the number of pounds of candy = p the cost of candy = cThe values in the p column represent the domain
In this case, the domain is
Domain = [0.25, 1.25]
The values in the c column represent the range
In this case, the range is
Range = [1.69, 11.81]
This means that the options (a), (b) and (e) are false
For option (c), we have
c = 6.75p
This means that
c = 6.75 * 0.25 = 1.69
c = 6.75 * 0.45 = 3.04
c = 6.75 * 0.75 = 5.06
c = 6.75 * 1.25 = 8.43 -- false
This means that the option (d) is false
Hence, none of the options is true
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How do you write 4 7/8 as a decimal
Answer:
4.88
Step-by-step explanation:
Turn 4 7/8 as an improper fraction Divide The FractionDone!Hops This Helps!
To convert 4 7/8 into a decimal, we first need to turn the mixed number into an improper fraction.
In order to turn the mixed number into an improper fraction, we need to multiply the whole number by the denominator and add it up with the numerator.
[tex]4\dfrac{7}{8}[/tex]
[tex]4\times8=32+7=39[/tex]
Now, put that sum over the denominator:
[tex]\dfrac{39}{8}[/tex] (improper)
Now, to turn the improper fraction into a decimal, we need to divide the numerator by the denominator:
[tex]39\div8[/tex]
[tex]=\fbox{4.875}[/tex] (final answer)
What is the slope of the line that passes through the points (-7,-8) and
(-5, 6)?
[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{(-8)}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{(-7)}}} \implies \cfrac{6 +8}{-5 +7} \implies \cfrac{ 14 }{ 2 } \implies \text{\LARGE 7}[/tex]
A school wants to buy a chalkboard that measures 1 meter by 2 meters. The chalkboard costs $31.00 per square meter. How much will the chalkboard cost?
Answer:
62$
Step-by-step explanation:
Board in square meters = 2×1 = 2 m²
Cost per square meter = $31.00
Total cost = 31×2 = $62.00
Answer:
The cost of the chalkboard is $27.74
Step-by-step explanation:
right!!
Lin makes her favorite juice blend by mixing cranberry juice with apple juice in the ratio shown on the double number line. complete the diagram to show smaller and larger batches that would taste the same as lin's favorite blend. please
help it's due tomorrow
Answer:
that is the persons username I got it from
Step-by-step explanation:
3 and 7
6 and 14
9 and 21
12 and 28
15 and 35
Step-by-step explanation:
If the two numbers they give you are 9 and 21, then the cranberry's are 3 ounces and the apples are 7 fliud ounces, then you can divide and multiply them to your will.
Give your answer in the form y=ma + c, where m and c are integers or
fractions in their simplest forms.
Bookwork code, $79
Canalda
allowst
What is the equation of line H?
33
Line
Watch video
Answer? Helllppo
Donald plays with his wood cubes and decides to make pyramids.
He carries on with his pyramids and labels following the same pattern.
After making p4 donald realises that he only has 12 wood cubes left. How many more cubes will he need to make p5?
Donald would need to use 5 levels of cubes, So to make p5 he would need 25-12 = 13 more cubes.
What is pyramid?A pyramid is a structure with a square or triangular base and four triangular sides that meet at a point, called the apex. Pyramids were built by ancient civilizations, such as the Egyptians, as tombs for pharaohs and their queens.
What is pyramid levels?In the context of building pyramids with wood cubes, it seems like "pyramid levels" refers to the layers of cubes used to construct the pyramid. Each level is a layer of cubes that sits on top of the previous one, and the number of cubes in each level increases as you move up the pyramid. For example, in the case of p4, the base level would use 1 cube, the next level would use 4 cubes, the next level would use 9 cubes, and so on. The top level, which forms the apex of the pyramid, would use the most cubes. So the pyramid levels refer to the different layers of the pyramid and the number of cubes used in each layer.
To make a pyramid labeled p5, Donald would need to use 5 levels of cubes.
Donald uses 1 cube for the base of p4, 4 cubes for the next layer, 9 cubes for the next, 16 cubes for the next and 25 cubes for the top level.
So to make p5 he would need 25-12 = 13 more cubes.
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For two weeks the highest temp each day was recorded in four different cities. Line L, M, N, & P are graphs of the temp over time in Lubbock, Memphis, New Orleans, & Phoenix. Which statement is true?
A. the high temp in Lubbock increased as time passed
B. the high temp in Memphis decreased steadily
C. Initially, the high temp was warmer in Phoethen in Memphis
D. The high temp in Phoenix rose faster than the temp in New Orleans
For what value of k is 4x 2 8xy k * y 2 9 The equation of a pair of straight lines?
The value 'k' for which '4x^2 + 8xy + ky^2 = 9' is the second degree equation of a pair of straight lines is 4.
Therefore the answer is 4.
A general second-degree equation of a pair of straight lines is given by:
ax² + 2hxy + by² + 2gx + 2fy + c = 0
Where a, b, c, d, e, and f are constants, x and y are variables.
For the equation to represent a pair of straight lines, the following conditions must be met :
abc + 2fgh - af² - bg² - ch² = 0
In the equation 4x^2 + 8xy + ky^2 = 9, a = 4, h = 4, b = k, g = f = 0 and c = -9.
That is 4×k×(-9) + 2×0×0×4 - 4×0² - k×0² + 9×4² = 0
4×k×9 = 9×4²
k = 4
--The question is incomplete, complete question is given below--
"For what value of k is 4x^2 + 8xy + ky^2 = 9 the equation of a pair of straight lines?"
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2 1/3 grams of spice A was mixed with 4 1/7 grams of spice B. The ratio of spice A to spice B is 1:
The ratio of spice A to spice B is : 49/87
Here, 2 1/3 grams of spice A was mixed with 4 1/7 grams of spice B.
First we convert the improper fraction into a proper fraction.
For improper fraction2 1/3,
2 1/3
= (2 × 3)/3 + 1/3
= 6/3 + 1/3
= (6 + 1)/3
= 7/3 which is a proper fraction.
and for 4 1/7
= (4 × 7)/7 + 1/7
= 28/7 + 1/7
= (28 + 1)/7
= 29/7
The ratio of spice A to spice B would be,
(2 1/3) / (4 1/7 )
= (7/3) / (29/7)
= (7/3) × (7/29)
= (7 × 7)/(3 × 29)
= 49/87
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What does log () do in mathematics?
Log () helps to determine the single number to be multiplied.
Log stands for logarithm in algebra. The inverses of equations using exponents are called logarithms. Logs can be used to determine how many times one number needs to be multiplied to get another in its most basic form. For instance, to get 100 in the base-10 system, 10 must be multiplied by 10. In a base-10 system, the logarithm of 100 is therefore 2.
Log () expresses the power or exponent that a base number must be raised to or multiplied by in order to create another number in an ideal world. In situations where the user has data values that are significantly greater or lower than the other values, log scales are quite helpful. When displaying major percentage variations between data points, the user can also utilize a log scale.
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Last year at a certain high school, there were 75 boys on the honor roll and 120 girls on the honor roll. This year, the number of boys on the honor roll increased by 24% and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase
The total number of students on the honor roll increased by 20%.
Given that, 75 boys and 50 girls on the honor roll
=> boys increased by 24% = 75*24/100 = 18
So, the number of boys is increased by 18.
=> girls increased by 14% = 50*14/100 = 7
So, the number of girls is increased by 7.
After the increment, the number of boys and girls on the honor roll is 93 and 57, respectively.
Thus, the total number of students increased = 18+7 = 25
Therefore, the percentage increment in total = 25 / 125 * 100 = 20%
Hence, The total number of students on the honor roll increased by 20%.
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how do i find the unit rate for 30 inches per 5 years
per year unit rate becomes 6 inches. This can be solved using the concept of unit rate.
What is an unit rate?A unit rate is a price for one of anything. This is expressed as a proportion with such a base of one. For instance, you would cover 7 yards on average every second if you covered 70 yards in 10 seconds. The ratios of 70 yards in 10 seconds and 7 yards in 1 second are both rates, however, the latter is a unit rate.
A rate is the ratio of two different measurement units, whereas a unit rate seems to be the ratio of two different units of measurement for just a single object.
unit rate for 30 inches per 5 years:
= 30 inches / 5 years
= 6 inches / 1 year
Thus, per year unit rate becomes 6 inches.
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Mason invested $65,000 in an account paying an interest rate of 4. 6% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $142,200?
It would take about 17.4 years, to the nearest year, for the value of the account to reach $142,200 if the interest rate is 4.6% and no deposits or withdrawals are made.
Therefore the answer is 17.4 years.
To find out how long it would take for the value of the account to reach $142,200, we need to use the formula for compound interest:
A = P(1 + r)^(t)
Where:
A = the future value of the account
P = the present value of the account ($65,000)
r = the annual interest rate (4.6%)
t = the number of years
We know the future value of the account (A) and the present value of the account (P), so we can substitute these values into the formula and solve for t:
142,200 = 65,000(1 + 0.046)^t
To solve for t, we can take the natural logarithm of both sides:
ln(142,200) = ln(65,000(1 + 0.046)^t)
ln(142,200) = ln(65,000) + t(ln(1 + 0.046))
Then we can divide both sides by ln(1+0.046) and take the power of e:
t = (ln(142,200) - ln(65,000)) / ln(1+0.046)
To the nearest year, this gives us t = 17.4 years.
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How do you tell if a graph is linear quadratic or exponential?
A linear graph is one whose equation is in the form y = mx + b, where m and b are constants. A quadratic graph is one whose equation is in the form y = ax^2 + bx + c, where a, b, and c are constants.
To determine if a given graph is linear, calculate the equation of the line by finding two points on the graph and plugging them into the equation y = mx + b.
For example, if the two points on the graph are (2, 3) and (5, 7), then plugging these values into the equation gives us:
y = mx + b
3 = m*2 + b
7 = m*5 + b
Solving this system of equations gives m = 2 and b = -1, so the equation of the line is y = 2x - 1.
A quadratic graph is one whose equation is in the form y = ax^2 + bx + c, where a, b, and c are constants. To determine if a given graph is quadratic, calculate the equation of the parabola by finding three points on the graph and plugging them into the equation y = ax^2 + bx + c.
For example, if the points on the graph are (1, 6), (2, 13), and (3, 24), then plugging these values into the equation gives us:
y = ax^2 + bx + c
6 = a*1^2 + b*1 + c
13 = a*2^2 + b*2 + c
24 = a*3^2 + b*3 + c
Solving this system of equations gives a = 4, b = -5, and c = 6, so the equation of the parabola is y = 4x^2 - 5x + 6.
An exponential graph is one whose equation is in the form y = a*b^x, where a and b are constants. To determine if a given graph is exponential, calculate the equation of the line by finding two points on the graph and plugging them into the equation y = a*b^x.
For example, if the two points on the graph are (2, 16) and (3, 24), then plugging these values into the equation gives us:
y = a*b^x
16 = a*b^2
24 = a*b^3
Solving this system of equations gives a = 2 and b = 2, so the equation of the line is y = 2*2^x.
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THIS IS A TEST!!!
HOW DO YOU SOLVE FOR X?
If you get this right, or you give an explanation. ill mark you as blranliest.
Answer:
[tex]x = \frac{9}{5} [/tex]
Step-by-step explanation:
[tex] - 7( - 7 \times ( - x - 1)) = 6 (- \times ( - 2x - 3))[/tex]
[tex] - 7 + 7x + 7 = 6 + 2x + 3[/tex]
[tex]7x - 2x = 6 + 3 + 7 - 7[/tex]
[tex]5x = 9[/tex]
[tex] \frac{5x}{5} = \frac{9}{5} [/tex]
[tex]x = \frac{9}{5} [/tex]
Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
By using the unitary approach to answer the given question, we may conclude that total 28 + 40 = $68.
Unitary method: what is it?The unit technique is a strategy for addressing issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply expressed, the unit technique is used to extract a single unit value from a multiple that is provided. For example, 40 pens would cost 400 rupees, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. something has a distinct identity. Its adjoint and reciprocal are equal in terms of mathematics, algebra, linear algebra, mathematical analysis, or mathematics of matrices or operators.
One package of chicken costs = $7
steaks cost = $4 per pound.
cost of 4 chicken = 4 * 7 < $28
cost of 10 steaks = 4*10 < $40
total 28 + 40 > $ 68
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Use polar coordinates to find the volume of the given solid. Inside the sphere x^2 + y^2 + z^2 = 36 and outside the cylinder x^2 + y^2 = 1.
The required volume of the given solid is (√16 - r²) -(-√16 - r²).
What is volume?The measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units.
Volume and the notion of length are connected.
Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface.
The cubic meter (m3), a derived unit, is the SI unit of volume.
So, the integrand often takes the form z upper z lower, where z stands for the solid's lower and upper borders.
We are treating the sphere as a hemisphere as of right now, with the XY-plane serving as its lower boundary. Consequently, you must multiply by 2.
The solid's volume is (√16 - r²) -(-√16 - r²).
Therefore, the required volume of the given solid is (√16 - r²) -(-√16 - r²).
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Correct question:
Use polar coordinates to find the volume of the given solid: Inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4.
lay a game of rolling a 6-side dice: for each roll, you can get the face value or reroll it, and you can roll it three times at most. Suppose you are a rational person, how munch would you pay for this game
The probability that at least one 6 will occur on two dice is 30.5%.
What is the probability of scoring 6?To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur. There are differences between probability and odds. Odds are calculated by dividing a situation's likelihood of occurring by its likelihood of not occurring.
1, 2, and 3 are the six factors. Four of the results of a single die's six possible outcomes are multiples of 6. It follows that 4/6 is the probability.
11.5%, or slightly less than 33.3% (2/6), out of 36 occasions. The probability that at least one 6 will occur on two dice is 30.5%. Without using the picture, one can also calculate this number mathematically.
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Using the concept of likelihood and probability ,The probability that at least one 6 will occur on two dice is 30.5%.
What is probability?Probability is a measure of the likelihood that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will certainly occur. For example, the probability of flipping a fair coin and it landing on heads is 0.5, or 50%. Probability is used in many fields, including mathematics, statistics, finance, and science. In statistics, probability is used to make inferences about a population based on a sample, while in finance, probability is used to evaluate the potential outcomes of investments.
What is conditional probability?Conditional probability is the probability of an event occurring given that another event has already occurred. It is written as P(A|B), which is read as "the probability of A given B." For example, the probability of rolling a 6 on a fair die given that the roll is an even number would be P(6|even) = 1/3, because there is only one way to roll a 6 out of the 3 possible even numbers (2, 4, 6).
1, 2, and 3 are the six factors. Four of the results of a single die's six possible outcomes are multiples of 6. It follows that 4/6 is the probability.
11.5%, or slightly less than 33.3% (2/6), out of 36 occasions. The probability that at least one 6 will occur on two dice is 30.5%. Without using the picture, one can also calculate this number mathematically.
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Identify the graph of x < 2.
Answer:
lower left (already identified)
Step-by-step explanation:
You want the graph showing x < 2.
Line typeThe boundary line of the solution area will be x = 2. Because that line is not included in the space x < 2, the line is dashed. (Eliminates graphs on the right.)
ShadingThe solution space includes values of x that are less than 2. That means they are to the left of the boundary line. Shading will be left of the dashed line. (Eliminates graphs on the top.)
The correct graph of x < 2 is the one at lower left, already highlighted in the image.
How many real solutions does the system X² y² 25 and ay 10 have?
The system X² y² 25 and ay 10 has no real solutions.
To solve this system, we need to solve each equation for y.
For the first equation, X² y² 25, we can divide both sides by X² to get:
y² = 25/X²
Then, take the square root of both sides to get:
y = ± √(25/X²)
For the second equation, ay = 10, we can divide both sides by a to get:
y = 10/a
To find out if the system has real solutions, we need to compare the two equations. Since the two equations are not equal, the system has no real solutions.
Learn more about real solutions here:
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