The probability that a hand of five cards chosen at random and without replacement from a standard 52 card deck will have a king of spades, exactly one other king, and exactly two queens = 0.000332
A deck of cards consist of 52 cards in which each 13 cards are from 4 suits: Spades, Hearts, Diamonds and Clubs.
Each suit consist of cards Ace, King, Queen, Jack and other 9 cards.
So in 52 cards there is 4 kings and 4 queens each.
Five cards are selected at random and without replacement.
Five cards from a 52 deck cards can be chosen in 52C5 ways.
A spade king can be chosen in 1C1 way. [ Since there is only one spade king]
Exactly one other king can be chosen in 3C1 ways. [Since now only 3 kings are remaining after choosing 1 spade king]
Exactly 2 queens can be chosen in 4C2 ways.
Now 4 cards are selected out of 5. The remaining 1 card is chosen out in 48C1 ways.
So the probability that the five cards chosen will have a king of spades, exactly one other king, and exactly two queens
= (1C1 x 3C1 x 4C2 x 48C1) /52C5 = 18/54145 =0.000332
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A car travels 100 meters in 5 seconds. What is the speed of the car?
speed = distance over time; 1 mile = 1609 meters
Answer:
20 m/s
Step-by-step explanation:
speed = 100m /5s = 20 m/s
= 72 km/hr
= 72 km / hr * 1 mile / 1.609 km = 44.7 mph
Makayla mows two lawns the first lawn in 10 feet lawn and 7 feet wide the area of the second lawn is 7 times as big but has the same width as the first what it the length of the second lawn
The second lawn that Makayla mows has a length of 70 feet.
If the first lawn Makayla mows is 10 feet long and 7 feet wide, use the formula for the area of rectangle to know the area of the first lawn.
A = l x w
Area of first lawn = 10 feet x 7 feet
Area of first lawn = 70 ft^2
If the area of the second lawn is 7 times as big as the first, then the area of the second lawn is:
Area of second lawn = 7 x Area of first lawn
Area of second lawn = 7 x 70 ft^2
Area of second lawn = 490 ft^2
If the second lawn has the same width as the first, which is 7 feet, using the formula for the area of a rectangle, solve for the length of the second lawn.
A = l x w
Area of second lawn = l x w
490 ft^2 = l x (7 feet)
l = 70 feet
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Use the diagram showing points P and Q. P(-2, 1) Q(2, 1)
Determine which point is the remaining vertex of a triangle with an area of 4 square units.
R(2, 0)
S(-2,-1)
T(-1, 0)
U(2,-2)
please help !! include explanation
E. -2(a-8)how do you do this question?
Answer: -2a + 16
Step-by-step explanation:
You must do the distributive property. Since "a-8" is in the parenthesis and -2 is outside the parenthesis, you must multiply -2 by (a-8). -2 multiplied by a will equal 2a since you don't know what variable a equals. Next, you multiply -2 and -8 which would equal positive 16. The reason why it is positive is because 2 negative numbers multiplied or divided would equal a positive number. Thus, the answer is -2a + 16.
the equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form y
The equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form 5x - 12y = -75.
What is an equation?An is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To find the equation:
The available points are (3,5) and (9,10).
The line's slope is given by:
[tex]\mathrm{m}=\frac{(10-5)}{[9-(-3)]}=\frac{5}{12}[/tex]
The equation is as follows:
[tex]\begin{aligned}&y-5=\left(\frac{5}{12}\right)[\mathrm{x}-(-3)] \\&\mathrm{y}-5=\left(\frac{5}{12}\right)(\mathrm{x}+3)\end{aligned}[/tex]
Solve it to obtain the equation:
[tex]\begin{aligned}&12 y-60=5 x+15 \\&5 x-12 y=-75\end{aligned}[/tex]
Therefore, the equation is 5x - 12y = -75.
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The correct question is given below:
Find an equation of the line through the points (−3,5) and (9,10) and write it in standard form Ax+By=C, with A>0.
What is the force, in N, when a pressure of 18 N/m2 is exerted on an area of 500 cm2?
It's not 1.6
!!ABSOLUTE VALUE!!
can anyone do this problem out for me and show the work and steps?
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Find the amount in jay's account after 6 years when the principal deposit was $285 and is compounded annually with a rate of 1.9%.
The amount in Jay's account after 6 years is $357.20.
Given that, the principal=$285, time period=6 years and rate of interest =1.9%.
We need to find the amount in Jay's account after 6 years.
How to calculate the compound interest?Compound interest, or 'interest on interest', is calculated using the compound interest formula. The formula for compound interest is [tex]A=P(1+\frac{r}{100} )^{nt}[/tex], where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.
Now, [tex]A=285(1+\frac{1.9}{100} )^{6}=285(1.019)^{6}[/tex]
=285×1.1195=$357.20
Therefore, the amount in Jay's account after 6 years is $357.20.
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A hospital stores one type of medicine in 222-decagram containers. Based on the information given in the box above, how many 111-milligram doses are there in one 222-decagram container?
Answer:
2,220,000 mlg
Step-by-step explanation:
This question can be solved by a simple conversion calculation. Thankfully we're converting between two units of measurement with the same base!
So First, let's convert 222 decagrams to grams, and then convert grams to milligrams.
The conversion rates we need are:
1 decagram = 10 grams
1 gram = 1000 milligrams
Now for the math!
[tex]222 dg *\frac{10g}{1dg} =2220g\\then...2220g * \frac{1000mlg}/1g\\\\\\=2,220,000 mlg[/tex]
A college administrator wants to survey 250 students that attend her college to see if students are satisfied with the course offerings. Match the strategies to their corresponding sampling techniques. 1. The administrator goes into 9 classes from many subject areas and asks all the students in each of these 9 classes. 2. The administrator gets the complete list of students at the college and surveys every 50th students on the list. 3. The administrator gets the complete list of students at the college and then uses a computer to randomly select 250 students. She then surveys these 250 students. 4. The administrator stands by the front door of the admissions department and asks the first 250 students who walk in. 5. The administrator researches the ethnic make-up of the college and makes sure that the proportion of each ethnic group represented in the sample is the same as the corresponding proportion of that ethnic group at the college. a. Convenience Sampling b. Simple Random Sampling c. Systematic Sampling d. Cluster Sampling e. Stratified Sampling
The matched pairs were identified using sampling techniques as follows:
a - 3b - 2c - 1d - 4e - 5Sample techniques:Convenient: The most convenient way to sample, for example, all people in one location.
Random: A selection of options drawn at random from a set of all.
Systematic: Every k element is sampled for one option.
Cluster: Divide into groups, and survey all elements of each group.
Stratified: Divided into groups, with a percentage of each group surveyed.
So,
Item a:
Students are chosen at random, resulting in simple random sampling.3 matches a.Item b:
Every kth student, in this case, every 50th student, resulted in systematic sampling.b corresponds to 2.Item c:
A proportion of each group is sampled after being divided into groups. As a result, stratified sampling.1 match c.Item d:
Cluster sampling is achieved by dividing the population into groups (classes) and sampling all elements of each group.d equivalents 4.Item e:
The number of people in a location, and thus convenience sampling. e matches 5.Therefore, the matched pairs were identified using sampling techniques as follows:
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The correct question is given below:
A college administrator wants to survey 250 students that attend her college to see if students are satisfied with the course offerings. Match the strategies to their corresponding sampling techniques.
a. 12345 The administrator gets the complete list of students at the college and then uses a computer to randomly select 250 students. She then surveys these 250 students.
b. -12345 The administrator gets the complete list of students at the college and surveys every 50th students on the list.
c. -12345The administrator researches the ethnic make-up of the college and makes sure that the proportion of each ethnic group represented in the sample is the same as the corresponding proportion of that ethnic group at the college.
d. -12345 The administrator goes into 9 classes from many subject areas and asks all the students in each of these 9 classes.
e. -12345 The administrator stands by the front door of the admissions department and asks the first 250 students who walk in.
1. Stratified Sampling
2. Systematic Sampling
3. Simple Random Sampling
4. Cluster Sampling
5. Convenience Sampling
14
Starting with the number 0 and counting left
to right,
0
35
5
40
10
45
Date:
15 20 25 30
50
55
60
65
write the first number
write the fourth number
write the ninth number
Answer:
first number: 0
fourth number: 15
ninth number: 40
The answer to 5√12 × √7, given in its simplest form, is t√√u, where t and u are integers.
Calculate the values of t and u.
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form: 10√21 where t = 10 and u =21
Approximately, when did all the continents combine into the pangaean supercontinent?
a) 110ma
b) 420ma
c) 240ma
d) 650ma
Answer:
C) 240ma
Step-by-step explanation:
Someone help me with this question
Answer:
Angle Bisector I believe
Step-by-step explanation:
Apologies if I am wrong
x^4 - 5x^2 + 6 = 0
solve using quadratic formula
2. Polygon EFGH is a scaled copy of Polygon ABCD.
Name the segment in the scaled copy that
corresponds to segment AB.
1A
The name of the segment in the scaled copy that corresponds to segment AB is segment EF
How to name the segment in the scaled copy that corresponds to segment AB?The given parameters are:
Polygon EFGH is a scaled copy of Polygon ABCD.
This means that the corresponding points are
E = A
F = B
G = C
H = D
Remove points C and D
So, we have
E = A
F = B
Hence, the name of the segment in the scaled copy that corresponds to segment AB is segment EF
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Greg ate 1/6 of a pizza. afterward, steve ate 1/3 of the remaining pizza. what fraction of the pizza was left after that?
Answer: 1/2
1/3 = 2/6, and 2/6 + 1/6 = 3/6. Since 3/6 can be simplified to 1/2, there would be half of a pizza left.
Here's an image to explain:
someone please help me
Answer:
45
Step-by-step explanation:
180 - 45 - 90 = 45
A model train is on a track 100 cm from its starting point. turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. which equation models the position of the train along the track after you turn the switch?
The equation which models the position of the train along the track can be given as |x − 100| = 25.
One-variable linear equation is defined as the equation which can be written in the form of ax+b = 0, where a and b are two integers, and x is a variable. One-variable linear equation has only one solution. For example, the linear equation 4x+2=14 only has one variable and only one solution.
The location of the train is given by the value of x. Therefore, if x was equal to the value 85, it would be at the position 85 on the number line.
The distance between x and distance of track that is 100 is given as |x-100|. The distance can never be negative, so we take the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.
Therefore, the equation which models the position of the train along the track is represented by |x − 100| = 25.
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If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the _____ probability distribution.
If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the Poisson probability distribution.
How do you find the probability of success for each trial?
Each trial has a head (success) and a tail (failure) outcome (failure). Each trial's chances of success are p = 1/2 and its chances of failure are q = 1 1/2 = 1/2. The variable X, which counts the number of successes across 12 trials, is the one that interests us. This is an illustration of a 12-trial Bernoulli experiment.What is the probability formula?
Probability is equal to the number of favorable outcomes (Total number of outcomes) P = n (E) / n (S) E is the event, P is the probability, and S is the sample area.
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Mr. Morris borrowed $25,000 from the bank. The time of the loan was 4 years. How much will he pay if the interest rate is 5.25%? (Use simple interest.)
Which angles are supplementary to the given angle? I need help
Answer: 4567
Step-by-step explanation:
Apply the associative and commutative properties of multiplication to write your expression as the product of groups of 2•4
In consecutive odd integers, three times the largest integer is fifteen less than two-thirds the smallest integer. find both integers. someone help please
Value of both the integers as three times the largest consecutive integer is 15 less than 2/3 the smallest one is -7, -9.
As given,
Let x, x +2 be two consecutive odd integers
Three times largest integer=3( x+2)
15 less than 2/3 smallest integer=(2/3)x -15
Equation :
3(x+2)=(2/ 3)x -15
⇒ 3x +6=(2x -45)/3
⇒ 9x-2x= -18 -45
⇒ 7x=-63
⇒ x =-9
and x+2 =-7
Therefore, value of both the integers as three times the largest consecutive integer is 15 less than the 2/3 the smallest one is -7, -9.
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2
Given f(x)=x²-3x - 23 and
g(x)=x-1, find (fog)(x).
The required function is (fog)(x) = x^2 – 5x – 19
We have been given two functions which are:
f(x) = x^2 – 3x – 23
g(x) = x – 1
We need to find (fog)(x) which is also equal to f(g(x)).
In this, we have to replace x with the function g(x) in the function, f(x). numerically
f(g(x)) = g(x)^2 – 3g(x) – 23
Now we will write the value of g(x) in the above equation. We will get
f(g(x)) = (x-1)^2 – 3(x-1) – 23
f(g(x)) = x^2 + 1 – 2x – 3x + 3 – 23
f(g(x)) = x^2 – 5x – 19
Hence (fog)(x) = x^2 – 5x – 19 is the required function.
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a=(3,-4), b=(8,-1) y c=(-2,5)
V=3a-2b+c
Answer:
5729627829263#wyyeiwyuwityeioe
You have a block of metal with a volume of 56 cubic centimeters and a mass of 153 grams.
What is the density?
Answer:
C
Step-by-step explanation:
153/56= 207G
Check
Mc
Graw
Hill
RMA1FL_0101_check2
Question 2 of 3
Question 2
Select the sentence(s) that represent(s)
the equation.
7(p +23) = 102
Save and Exit
A) Seven times the sum
of p and twenty-three
is the same as one
hundred two.
B) Seven times p plus
twenty-three equals
one hundred two.
C) Seven times the quan-
tity p plus twenty-three
equals one hundred
two.
D) The quantity seven
Submit Assignment
The sentence that represents the equation (7p + 23) = 102 is Seven times the sum of p and twenty-three is the same as one hundred two.
It is given that (7p + 23) = 102
Now, we have to write this equation in a sentence or to translate it in words.
As we can see in the given equation that seven is multiplied by p and then twenty three is added in the multiplication of seven and three, after that their addition is equal to one hundred two.
So, the Option A will be the correct answer which is Seven times the sum of p and twenty-three is the same as one hundred two.
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Jake ran 121.3 miles a week. if jake ran an equal number of miles each day, then what distance did he run in a day? (write the answer up to two decimal places)
Distance ran by Jake in a day is 17.33 miles.
It is given in the question that Jake ran 121.3 miles in a week. Also, Jake ran an equal number of miles each day.
We have to find the distance ran by him in a day.
Let the distance ran by him in a day be x miles.
We know that there are 7 days in a week.
Hence, according to the data given in the question, we can write,
Number of days in a week * distance ran in a day = total distance
Hence,
7*x = 121.3 miles
Solving the linear equation, we get,
x = 121.3/7 miles
x = 17.3285 ≈ 17.33 miles
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Use the Segment Addition Postulate to solve the problem below.
Point B is the midpoint of line segment AC.
line segment AC = 5
line segment AB = 3x – 5
Part A - Draw line segment AC, clearly labeling ALL points and ALL measures given above.
Part B - Find the value of x, showing ALL work. This may be typed or handwritten>
The value of x from the given line segment is 1 2/3.
Given that, line segment AC = 5 and line segment AB = 3x - 5.
We need to find the value of x.
What is the line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Since point B is the midpoint of the line segment AC.
AB=BC=3x - 5
Now, AC=AB+BC
⇒5=3x - 5+3x - 5
⇒6x=15
⇒x=15/6
⇒x= 5/3
⇒x=1 2/3
Therefore, the value of x from the given line segment is 1 2/3.
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