Step-by-step explanation:
remember, a probability is always the ratio of
desired cases / totally possible cases
it starts with all the combinations of 4 out of 12 (= 8 + 4) choices
C(12, 4) = 12! / (4! × (12-4)!) = 12! / (4! × 8!) =
= 12×11×10×9 / 24 = 11×5×9 = 495
these are our totally possible outcomes.
the desired outcomes with only 4 men in the selected group out of 12 people is the same amount as the possible selections of 4 men out of the available 8 men :
C(8, 4) = 8! / (4! × (8-4)!) = 8! / (4! × 4!) =
= 8×7×6×5 / 24 = 2×7×5 = 70
any other combination of C(12, 4) must contain at least 1 woman.
so the probability of getting 4 men out of the random pull is
70/495 = 0.1414141414...
we could get that also by saying the probability to get a man on the first pull is (12 people in total, 8 "desired" period with the right gender)
8/12 = 2/3 = 0.666666666...
now, we have 7 men out of 11 total people for the second pull. the probability here is
7/11 = 0.636363636...
then we have 6 men out of 10 total people for the third pull. the probability here is
6/10 = 3/5 = 0.6
and lastly, we have 5 men out of total 9 people for the fourth pull. the probability is
5/9 = 0.555555555...
the probability to get 4 men out of the random pulling is the combination of these 4 individual probabilities :
2/3 × 7/11 × 3/5 × 5/9 = 210 / 1485 = 70/495 =
= 0.1414141414...
it is confirmed.
What % is:
a) 12 out of 20
b) 62 out of 80
What is:
a) 12% of 125
b) 18.3 of 28
a. 12 out of 20 is 60%
b 62 out of 80 is 77.5%
a. 12% of 125 is 15
b. 18.3% of 28 is 5.12.
How to find the percentage of values?The percentage can be found by dividing the value by the total value and then multiplying the result by 100.
Hence, let's find the percentage of the following:
a.
12 / 20 × 100 = 1200 / 20 = 60%
b.
62 / 80 × 100 = 6200 / 80 = 77.5%
Therefore,
12% of 125 = 12 / 100 × 125 = 1500 / 100 = 15
18.3% of 28 = 18.3 / 100 × 28 = 512.4 / 100 = 5.12
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When we conclude that the results we have gathered from our sample are probably also found in the population from which the sample was drawn, we say that the results are:
When we conclude that the results we have gathered from our sample are probably also found in the population from which the sample was drawn, we say that the results are statistically significant.
In statistical analysis, we use hypothesis testing to determine whether the results of a sample are likely to be representative of the population as a whole. If the results are statistically significant, we can infer that there is a low probability that the observed differences between the sample and the population occurred by chance alone.
This allows us to generalize the findings from the sample to the larger population with a reasonable degree of confidence.
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If we were to rotate the following points E(-2,8) F(-6,1) and G(-9.4) 270 degrees CCW and reflect over the x axis, what would point G be?
Answer:
O (9,-4)
Step-by-step explanation:
I hope this helps
Please help i need the answers fast
A 19
B 28
C 33
D 35
Answer:
the answer for that is 35 letter D
What is the range of the function on the graph?
Answer:
The range is greater than or equal to -3
Step-by-step explanation:
The range is y.
At y = -6, x doesn't have values.
At y = -3, x stops; therefore, y is greater or equal to -3.
At y = 2, x has values.
Which expressions are equivalent to 2r + (t + r)2r+(t+r)2, r, plus, left parenthesis, t, plus, r, right parenthesis ?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
2rt + 4r
(Choice B)
B
r+tr
(Choice C)
C
None of the above
9514 1404 393
Answer:
C none of the above
Step-by-step explanation:
We can simply drop the parentheses and collect terms.
2r +(t +r) = 2r + t + r = (2r +r) +t
= 3r +t
20 subtracted from the product of x and 10
Answer:
10x-20
Step-by-step explanation:
x times 10 is 10x
10x - 20 = 10x - 20
in conclusion you cannot subtract a number from a variable
20 subtracted from the product of x and 10?
answer : 10x-20
PLEASE HELP!!!
A student decreases the temperature of a 397 cm3 balloon from 515 K to
220 K.
Assuming constant pressure, what should the new volume of the balloon be?
Round your answer to one decimal place.
Answer:
P V = N R T ideal gas equation
V2 / V1 = T2 / T1 dividing equations
V2 = 397 cm^3 * (220 / 515) = 170 cm^3
Write in scientific notation:673,000
Answer:
6.73 x 10 ot the power of 5
Step-by-step explanation:
One baseball team played 20 games throughout their entire season. If this baseball team
won 14 of those games, then what percentage of their games did they win? Round your
answer to the nearest whole number if necessary.
Answer:
70%
Step-by-step explanation:
The fraction of the game won is 14/20
Percent means out of 100
14/20 * 5/5 = 70/100
The percent is 70%
Y=4/5x+1
A. Slope: 5/4; y-intercept: 1
B. Slope: 4/5; y-intercept: -1
C. Slope: 5/4; y-intercept: -1
D. Slope: 4/5; y-intercept: -1
Slope is 4/5
and, y - intercept is 1 of the equation is y = 4/5x +1
Now, According to the question:
What is slope and example?
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
The equation of any straight line can be written as y=mx+c, where m
is its slope and c is its y−intercept.
The given equation is:
Y = 4/5x +1
Now, By according to the above statement is:
Slope is 4/5
and, y - intercept is 1
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Find the slope. Im not good finding slope in a graph and fliping the numbers.
Answer:
\(\frac43\)
Step-by-step explanation:
Hello!
We can calculate slope using the formula \(\frac{Rise}{Run}\).
Rise is the change in y between two pointsRun is the change in x between two pointsThe two points that I'm going to choose is (0,-4) and (3,0).
SlopeChange in y (-4 and 0) is 4Change in x (0 and 3) is 3Therefore, the slope of the line is \(\frac43\).
Answer: 4/3
Step-by-step explanation:
rise over run
Marco travels from his house to the beach. The total distance he travels
is 120 miles. In the first hour, Marco traveled 54 miles. What percent of
the distance did he travel the first hour?
Answer:
45%
Step-by-step explanation:
Since he drove 54 miles out of 120 in the first hour, the equation for this would be 54/120×100. This equals 45 and that is the percentage
which equation represents a line that is parallel to y = 4x + 3 and passes through the point (-3, 2)
50 points
Answer:
it should be y= -4x + 10
Step-by-step explanation:
hope this helps.
The scale on a map is 1 : 25 000
How many kilometres on the ground is represented by 9 cm on the map?
2.25 kilometers on the ground is represented by 9cm on the map
According to the question, the scale on the map is in the ratio 1 : 25000
That is the length on the map = length of the ground
1cm = 25000 cm
1 cm = 25000/100000 km
1 cm = 0.25 km
Now we have to find the length of the ground in kilometres which is represented by 9cm on the map
That is we have to find the ratio, 9cm : x km
As from above, we know that,
1cm = 0.25 km
9 cm = 0.25*9 km
= 2.25 km
Hence 2.25 km on the ground is represented by 9 cm on the map
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Given mn, find the value of x.
The value of the angle x in the given set of parallel lines is 62°.
Given that are two lines m and n which are parallel to each other, a transversal line t intersecting the lines at one point each making angles measuring 118° and x, which are opposite to each other, x is on line n whereas 118° is on m,
We need to find the value of x,
Here, we can use the property of corresponding angles to find the value of x.
Corresponding angles are formed when a transversal intersects two parallel lines, and they are congruent (equal) to each other.
In this case, the corresponding angle to the 118° angle on line m is the supplement of angle x on line n.
Since the corresponding angles are equal, we can set up the equation:
180° - x = 118°
x = 62°
Hence the value of x is 62°.
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A straight has slope equals to 12 and y-intercept equals to -5. What's the equation for this straight line?
Answer:
\( \large{ \tt{❃ \: EXPLANATION}} : \)
We're provided : Slope of straight line ( m ) = 12 & y - intercept ( c ) = - 5 and We're asked to find out the equation for this straight line.You'll have to know : Equation of straight line in slope intercept form : y = mx + c where m is the slope & c is the y-intercept.\( \large{ \tt{❁ \: LET'S \: START}} : \)
Using Slope - intercept form of equation of straight line :\( \boxed{ \large{ \tt{❈ \: y = mx + c}}}\)
- Plug the values :
\( \large{ \tt{↬y = 12x + ( - 5)}}\)
\( \large{ \tt{↬ \: y = 12x - 5}}\)
\( ↬\large{\tt{12x - 5 = y}}\)
\(↬ \large{ \boxed{ \bold{ \tt{12x - y - 5 = 0}}}}\)
Hence , 12x - y - 5 = 0 is the required equation.\( \tt{✺ \: STUDY \: MORE \: PROCASTINATE \: LESS !\:♪ }\)
۵ Hope I helped! ツ
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An item sells for $75 and is on sale for 35% off. The sales tax is 9.8%. What is the final cost of the item?
The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.
The given problem is related to percentage discounts and sales tax and can be solved using the following steps:
Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25
Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75
Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79
Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.
Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54
Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!
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Sabi has $2.50 more than Toni. Together they have $17.50. How much does Toni have?
Answer:
6.25
Step-by-step explanation:
17.50/2=8.75
8.75+2.50=11.25
17.50-11.25=6.25
Answer:
Toni has $7.50
Step-by-step explanation:
Tobi = x
Sabi = x + 2.5
x + x + 2.5 = 17.5
2x + 2.5 = 17.5
2x = 15
x = 7.5
Part C
Measure all the angles of ∆ABC and of ∆DEF, and enter the measurements in the table.
According to the information, the angles of this triangle are: 90°, 60° and 30°.
How to measure the angles of a triangle?To measure the angles of a triangle we must use a tool called a protractor. This ruler is circular in shape and has from 0° to 360°.
To measure an angle with this ruler we must locate the line that corresponds to 0° on one of the vertices, then we must identify which measure the other vertex passes through and that will be the value of that angle.
According to the previous procedure, if we analyze the angles of these figures with a protractor, we can infer that it has 90°, 60° and 30°.
Note: This question does not have the image. Below is the image:
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slips of paper numbered 1 through 14 are placed in a hat. in how many ways can two numbers be drawn so that the sum of the numbers is 12? assume the random selection is without replacement.
We are assuming that the random selection is without replacement, which means that once a slip is drawn, it is not put back into the hat.
There are 5 possible pairs of numbers that add up to 12 when drawing two slips of paper numbered 1 through 14 without replacement. These pairs are:
1 and 11
2 and 10
3 and 9
4 and 8
5 and 7
Next, we need to find the number of ways to draw each pair. Since the order in which the slips are drawn does not matter, each pair can be drawn in 2 different ways. So, for each of the 5 pairs, there are 2 ways to draw the pair.
Each pair of numbers can be drawn in 2 different order (the order in which the slips are drawn does not matter in this case), so the total number of ways to draw two slips so that the sum of the numbers is 12 is \(5 * 2 = 10\).
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A flare is designed to follow the path modeled by the function h(t) = â€"16t2 100t, where t is the time elapsed, in seconds, and h(t) is the height, in feet, of the flare at that time. the function can be used to convert the height in feet to the height in meters. which composite function can be used to determine the height, in meters, of the flare at any given time?
the composite function that can be used to determine the height, in meters, of the flare at any given time is:
h_meters(t) = 0.3048 * h(t)
To determine the height of the flare in meters at any given time, we can use the composite function. The composite function is obtained by converting the height in feet to meters.
The conversion factor to convert feet to meters is 0.3048. So, we can multiply the height in feet by 0.3048 to get the height in meters.
Therefore, the composite function that can be used to determine the height, in meters, of the flare at any given time is:
h_meters(t) = 0.3048 * h(t) Where h(t) is the height of the flare in feet, and h_meters(t) is the height of the flare in meters.
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which of the following statements are true? group of answer choices none of the above. a statistic characterizes a population, whereas a parameter describes a sample. a parameter characterizes a population, whereas a statistic describes a sample. you can have statistics and parameters from both samples and populations.
The statement "a parameter characterizes a population, whereas a statistic describes a sample" is true.
A parameter is a numerical value that describes a characteristic of a population, such as the population mean or standard deviation. Parameters are usually unknown and are estimated based on sample data.
On the other hand, a statistic is a numerical value that describes a characteristic of a sample, such as the sample mean or sample standard deviation. Statistics are calculated from sample data and are used to make inferences about population parameters.
So, the correct statement is that a parameter characterizes a population, whereas a statistic describes a sample.
It is also true that you can have statistics and parameters from both samples and populations. In statistical analysis, we often collect data from a sample to make inferences about the population. In this process, we calculate statistics from the sample data and use them to estimate or infer the population parameters. Both statistics and parameters play crucial roles in statistical analysis.
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On a coordinate plane, a dashed straight line with negative slope goes through (0, 1) and (2, negative 2). Everything to the left of the line is shaded.
Which inequality is represented by the graph?
y > Negative two-thirdsx + 1
y < Negative two-thirdsx + 1
y < Negative three-halvesx + 1
y > Negative three-halvesx + 1
The inequality which is represented by the dashed line and the description as in the task content is; y < Negative three-halvesx + 1.
Which inequality correctly represents the dashed line as described in the task content?It follows from the task content that the inequality which correctly represents the line is to be determined.
Therefore, first, the slope which is the rate of change of y to x according to the two points given is;
slope, m = (y2 - y1)/(x2 - x1)
m = (-2 - 1)/(2 - 0)
m = -3/2.
Also, since the point, (0, 1) is given, the y-intercept of the line is; 1.
Therefore the equation of the dashed line is;
y = (-3/2)x + 1.
And ultimately, since the line is dashed and everything to the left is shaded, the required inequality is;
y < (-3/2)x + 1.
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what is the probability that a soccer play and a hockey player would be randomly chosen , that they would both be wearing blue
Answer:
5 out of 10%
Step-by-step explanation:
Answer:
not enough information
Step-by-step explanation:
you need to know how many soccer players and how many hockey players there are and out of that how many of them are wearing blue
A cylinder has a radius of 10 inches and a height of 6 inches. About what is its volume in cubic inches? Use 3.14 for π.
188.4 inches square.............
Answer:
1884
Step-by-step explanation:
what is the answers?
Answer:
25% and 75%
Step-by-step explanation:
Answer:
Step-by-step explanation:
i dontk
HELP! ASAP! WILL GIVE BRAINLIEST!!!!!
Answer: 8 is b, 5 is a, 6 is c, and 7 is b
Step-by-step explanation:
How often does the line y = 1 intersect the graph?
three times
does not intersect
once
twice
Answer:
3 times
Step-by-step explanation:
Take out a ruler and draw a horizontal line through y = 1. It should become obvious immediately that this horizontal line intersects the graph 3 times.
The line \(\boldsymbol{y=1}\) intersect the graph three times.
GraphA graph is a mathematical depiction of a network that describes the connection between lines and points.
A graph is made up of points with lines connecting them. The length of the lines and the position of the points are irrelevant. Each object in a graph is referred to as a node.
Line \(\boldsymbol{y=1}\) intersects the graph at three points.
So, the line \(y=1\) intersect the graph three times.
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A school purchased sand to fill a sandbox on its playground. The dimensions of the sandbox in meters and the total cost of the sand in dollars are known. Which units would be most appropriate to describe the cost of the sand?
The most appropriate units to describe the cost of the sandbox would indeed be dollars.
When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.
Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.
Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.
Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.
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