As per the question, without replacement draw 5 cards from a deck of 52 playing cards. The probability to draw 5 cards can be written as:
[tex]P(getting2 spades) = \frac{P(E)}{n(E)} = \frac{13X12}{52X51} =\frac{1}{17}[/tex]
Therefore, the probability of getting at most two spades is [tex]\frac{1}{17}[/tex].
What is probability?
Probability is the method to measure the occurred events or the occurrence of the events. It is also used to analyze the outcomes of random events. To calculate the probability of a playing card which is [tex]52[/tex] in numbers. And it is divided into fours cards and each are in the count of [tex]13[/tex].These fours cards are heart, spades, diamond and club.
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Kathy has to write a 40 page report for her research class. She plans to write 8 pages in 4/7 week. She has 3 weeks to finish her report. Will she finish her report on time?
Answer:
Yes
Step-by-step explanation:
If she writes 8 pages a day for 4 days a week, in the first week, she will have already written 32 pages which she would only need one more day.
4 x 8 = 32
32 + 8 = 40
That gives her time to edit and revise :)
Hope this makes sense
How do you write 0.63 as a percentage
Answer:
63%
Step-by-step explanation:
To write a decimal as a percentage, you simply multiply it by 100. 0.63 * 100 is 63, so your final answer would be 63%.
FINAL ANSWER: 63%
A sphere has a diameter of 6 cm.
What is the volume when pi is set to 3?
First, we'll have to find the radius.
Radius is half of the diameter.[tex]\large\boxed{\bold{r= \frac{d}{2}}}[/tex]
[tex]r= \frac {6}{2}[/tex]
[tex]r= 3 \ cm[/tex]
Now, we can workout the volume.
Instead of π, we are asked to use 3.
[tex]\large\boxed{\bold{\red \pi \red = \ \red 3}}[/tex]
[tex]\large\boxed{\bold{V= \ \frac{4}{3} \pi {r}^{3}}}[/tex]
Now, substitute the values according to the formula.
[tex]V= \ \frac{4}{3} × 3 × {3}^{3}[/tex]
[tex]\large\boxed{\bold{V= \ 108 \ {cm}^{3}}}[/tex]
The answer is a whole number so you won't have to round off.
Therefore, the volume of the given sphere is 108 cubic centimeters.
Assume you are working with population of n= 16 scores. the sum of all of the scores is equal to 96. what is the population mean?
The population mean of the data is 6.
How to find the population mean?The population has n = 16 scores.
The sum of all of the scores is equal to 96.
Therefore, the population mean can be found as follows:
The population mean is the mean or average of all values in the given population.
The population mean is represented mathematically as follows:
population mean = sum of terms / number of terms
Therefore,
sum of terms = 96
number of terms = 16
Hence,
population mean = = 96 / 16
population mean = 6
Therefore, the population mean of the data is 6.
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What is the shape of the distribution for the following set of data? x f 5 5 4 3 3 1 2 3 1 5
The shape of the distribution for the following set of data is: symmetrical.
What are distributions?When we study data, one of the major ways to understand it is to think about its general form, such as whether it is symmetrical, has more numbers on one side than the other, or fits a common probability distribution like the normal, binomial, or exponential.
Now,
By looking at how the data are arranged in the table, we can tell that the distribution's form is symmetrical. With 1 item at X=3, it appears that this occurs frequently. The average was calculated using the range of data from X=1 to X=5. In addition, the data contain 5 items at X=5 and X=1, respectively. Both of these occur equally often and at equal intervals from the average. We can also say that there are three items in the data at X=4, three things at X=2, and so on, all of which are equally far from the average. As a result, every piece of data is either averaged out or counterbalanced on the other side of the average. A symmetrical distribution is described here. Therefore, it is neither favorably nor negatively biased. Even though it is symmetrical, the distribution is not normal since a normal distribution contains more data at the average than at the tails, as opposed to fewer.Hence, The shape of the distribution for the following set of data is: symmetrical.
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x+20)4x²+10x+2(
PLEASE SOLVE AND ANSWER.
Answer:
4x[tex] \sf {}^{3} [/tex] +80x²+10x+2
Step-by-step explanation:
(x+20)4x²+10x+2
Let's simplify step-by-step.
(x+20)(4)x²+10x+2
Distribute:
=4x[tex] \sf {}^{3} [/tex] +80x²+10x+2
A recipe for homemade modeling clay includes cup of salt for every cup of water. If there are 6 cups of salt, how many gallons of water are needed?
Answer:
0.375
Step-by-step explanation:
see above
What is the domain?
-3,5
0,4
3,5
Answer:
-3, 0, 3
Step-by-step explanation:
The domain is the set of all x values
Find the area of the rhombus
9 in
12 in
A = [?] in?
Answer:
A=54in squared.
Step-by-step explanation:
To answer this you need to know two numbers which in this case is 9 and 12. 12 will be called the Base for now and 9 the height. and they you multiply them together to get 108 but it is like a triangle next you need to half the number so half of 108 is 54.
there are also many different calculators that all you need to do is input the numbers and it will tell you I hope this is helpful to you and that you will get the right answer.
write the index notation of 6*6*6
Step-by-step explanation:
6×6×6 can be written as 6^3...
Answer:
6^3
Step-by-step explanation:
6 x 6 x 6 is equal to 6^3
i’ll mark brainliest
Answer:
<E
Step-by-step explanation:
The points need to be in order. P is the second to the last on the list and so is E.
1/4 x -1/2 =
will give brainest
Hello,
[tex] \frac{1}{4} \times- \frac{1}{2} = \frac{1 \times (-1)}{4 \times 2} = - \frac{1}{8} [/tex]
Evaluate the expression.
Answer: 1
Step-by-step explanation:
4^(-1) / 4^(-1)=
1/4 / 1/4=
1/4 * 4/1= ==> Dividing by a number is basically multiplying its reciprocal
1*4/(4*1)=
4/4=1
A graph with hours on the x-axis and height (inches) on the y-axis. A line goes through points (1, 2), (2, 4), and (3, 6).
Which describes the pattern of the data in the graph?
a. The water level increases by 1 inch each hour.
b. The water level increases by 2 inches each hour.
c. The water level increases by a factor of one-half each hour.
d. The water level increases by a factor of 2 each hour.
The water level increases by 2 inches each hour.
How to determine which describes the pattern of the data in the graph?The points on the graph are given as
(1, 2), (2, 4), and (3, 6)
Next, we calculate the slope of the line, as follows:
Slope = [y2 - y1]/[x2 - x1]
So, we have
Slope = [4 - 2]/[2 - 1]
Evaluate the quotient
Slope = 2
The above means that, the water level increases by 2 inches each hour.
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7. The John G. Riley Center and Museum in
Tallahassee is open for tours year-round.
Admission is $5.00. If 283 tour tickets are sold
each month, how many tickets would be sold
in 1 year?
3396 Tickets would be sold in one year. If 283 tickets are sold each month you need to do 283 (tickets) x 12 (months) and that will get you 3396 Tickets per every 12 months.
The value of y varies inversely with the square of x, and y = 4, when x = 5. What is y when x=10
Answer:
Step-by-step explanation:
[tex]y=k/x^{2}[/tex]
when y=4, x=5. Therefore:
[tex]4=k/5^2[/tex]
[tex]k=100\\[/tex]
If [tex]k=100, x=10 \\[/tex]
then [tex]y=100/10^2[/tex]
y=1
Answer:
The value of x when y = 9 is x = 2 or x = -2
Step-by-step explanation:
Given that value of y varies inversely as the square of x, and y=4, when x=3.
Therefore the initial statement is:
[tex]y x \frac{1}{x^{2} }[/tex]
The football team is selling gift cards in increments of
$25 and $50. If they sold $6,000 worth of gift cards
which equation could be used to determine how many
$50 gift cards, g, were sold if 180 gift cards were sold in
the $25 amount?
Answer: 4,500+50g=6,000
Step-by-step explanation:
Write the number five million four thousand three hundred in standard form.
Answer:
5,004,300
Step-by-step explanation:
just copy and paste the one on the bottom 5,004,300
Which graph describes Taco Truck 1?
Which graph describes Taco Truck 3?
Which graph describes Taco Truck 5?
The drama club would like to build a theater in the round, so the audience can be seated on all sides of the stage, for its next production.
a. The stage is to be a regular octagon with a total perimeter of 60 feet. To what length should each board be cut to form the sides of the stage?
so if you take 60 by x and The sides of an octagon which is 8 you should have your answer
(4y+1)x0=0 property
The property represented by the expression is the property of zero.
We are given an expression:
(4 y + 1) × 0 = 0
We need to tell which property is this.
The property that is used is called the property of zero. In this, it states that whenever a number is multiplied by 0, the answer or the result will always be zero.
For example: 3 × 0 = 0, 4 × 0 = 0, M × 0 = 0 or P × 0 = 0.
It does not matter whether a constant or a variable is multiplied with it, the result of the multiplication will always be zero.
Therefore, the property represented by the expression is the property of zero.
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Simplify the ratio 12 to 30.
If m< ABF=7b-24 and m< ABE = 2b, find m< EBF .
Answer:
∠ EBF = 16°
Step-by-step explanation:
note that EB is the angle bisector of ∠ ABF , then
∠ ABE = ∠ EBF = 2x and
∠ ABF = ∠ ABE + ∠ EBF , that is
7b - 24 = 2b + 2b
7b - 24 = 4b ( subtract 4b from both sides )
3b - 24 = 0 ( add 24 to both sides )
3b = 24 ( divide both sides by 3 )
b = 8
Then
∠ EBF = 2x = 2(8) = 16°
Vertex (-2,-5) passes through (4,4) in vertex form
The equation of parabola is [tex]y=1/4x^{2}+x/2-4\\\\[/tex].
What is parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape. A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.
Given:
The equation of parabola in vertex form is
[tex]y=a(x-h)^{2} +k[/tex]
Being vertex here
h=-2
k=-5
According to given question we have
∴
Equation of parabola in vertex form is
[tex]y=a(x+2)^{2} -5[/tex]
. The parabola passes through point (4,4) So the point (4,4) will satisfy the equation .
[tex]4=a(4+2)^{2} -5\\\\4=a*36-5\\\\9=a*36\\\\a=9/36\\\\a=1/4[/tex]
Hence the equation of parabola is
[tex]y=1/4(x+2)^{2} -5\\\\y=1/4(x^{2} +4+2x)-5\\\\y=1/4x^{2} +1+x/2-5\\\\y=1/4x^{2}+x/2-4\\\\[/tex]
Therefore, the equation of parabola is [tex]y=1/4x^{2}+x/2-4\\\\[/tex].
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the equation of parabola is missing
A group of students visited the zoo café for lunch. Each student received a bacon cheeseburger
and milkshake, and the total bill was $104.00. How many students were in the group? Please show your work.
Sandwiches Sides Beverages
Hamburger $3.25
Bacon Cheeseburger $4.75
Chicken Fajita Taco $3.50
French Fries, Small $1.55
French Fries, Large $1.90
Onion Rings $2.40
Cole Slaw $1.45
Soft Drink, Small $1.30
Soft Drink, Large $1.65
Milkshake $3.25
Juice $1.80
Answer:
13
Step-by-step explanation:
Determine whether the data show a linear relationship. If so, write an equation of a line of fit.
The data do not show a linear relationship.
The data do not show a linear relationship.
The data show a linear relationship; The equation is y=4.25x+1.75.
The data show a linear relationship; The equation is y is equal to 4 point 2 5 x plus 1 point 7 5.
The data show a linear relationship; The equation is y=1.75x+4.25.
The data show a linear relationship; The equation is y is equal to 1 point 7 5 x plus 4 point 2 5.
The data show a linear relationship; The equation is y=6x.
The data show a linear relationship; The equation is y is equal to 6 x.
Question 2
If there is a linear relationship, use the selected equation to estimate y when x=15 and interpret its meaning in the context of the situation.
y=
, which means that after
minutes, you have burned
calories.
The slope of the given function is not constant therefore it will not be a linear function so option (A) will be correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the data table,
If we take its point as coordinate then (1,6),(6,27),(11,50)(13,56) and (16,70).
Slope associated with two points (1,6), (6,27)
(27 - 6)/(6 - 1) = 4.2
Now Slope is associated with two points(6,27),(11,50)
(50 - 27)/(11 - 6) = 4.6
Since the slope is not the same therefore given function is not the linear function because the linear function has a constant slope.
Hence "The slope of the given function is not constant therefore it will not be a linear function".
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What is the inverse funtion of F F(x)= 3-x/7
A. F-1(x)=3-7x
B. F-1(x)= 7+x/3
C. F-1(x)=3- x/7
D. F-1(x)= 7x - 3
Answer:
Replace y with f−1(x) f - 1 ( x ) to show the final answer. Verify if f−1(x)=x3+73 f - 1 ( x ) = x 3 + 7 3 is the inverse of f(x)=3x−7 f ( x ) = 3 x - 7
Step-by-step explanation:
. An architect is designing a new windmill with four sails. In her
sketch, the sails' center of rotation is the origin, (0,0), and the tip of one of the sails,
point
S, has coordinates (2,4). She wants to make another sketch that shows the windmill
after the sails have rotated 270° clockwise about their center of rotation. What would
be the coordinates of S?
The coordinates of S are (-4,2) .
The sails' center of rotation = Origin (0,0)
Coordinates of S on the top of one of the sails, = (2,4)
Rotation :The action or process of rotating on or as if on an axis or center.
Centre of Rotation :The center of rotation is a point about which a plane figure rotates. This point does not move during the rotation.
It is given that sails have rotated 270° clockwise.
So, When we rotate a figure of 270 degree clockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.
So, the point turn (2, 4) into (-4, 2).
Thus, the coordinates of S are (-4,2).
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Use with problems 11 and 12. Round to the nearest hundredth place.
C-3,1)
D(0, -6)
Answer:
7.6. Good luck
a bookshelf contains 5 different mathematics textbooks, 4 different engineering textbooks, and 2 different history textbooks. how many different ways are there to arrange the books on a shelf? 39916800 how many different ways are there to arrange them if each book is sorted by category (so all of the books of a type are in a row)? 34560 how many different ways are there to arrange them if only the history books must be next to each other? 725760 how many different ways are there to arrange the books if none of the history books may be adjacent to each other?
Answer:
Step-by-step explanation:
The correct answer is “39916800”. Explanation: No. of mathematics books = 3 No. of Engineering books = 5 No. of history books = 3 Total number of books = 3 + 5 + 3 = 11 Hence, there are 11! ways in which all of these books can be arranged.
I think I may be wrong if someone wants to check this you can