Answer:
24
Step-by-step explanation:
there are 4 way of choosing an ace card after choosing an ace card now we have 3 ways of choosing a king after choosing a king there are two ways of choosing a queen after choosing queen there is only one way of choosing a jack .
so the number of elements in the event is =4×3×2×1=24
we use permutation here for finding the total number of elements
Using the concept of combination, since the order of selection doesn't matter, the number of ways in which four 8's can be chosen is 1
There are 13 cards in a suit :
Number of cards numbered 8 in a suit = 1
Number of ways of choosing a specific card :
(13C1) ÷ 13 = (13 ÷ 13) = 1 way
Since there are four different suits :
The number of ways of selecting a card numbered 8 from 3 each suit will be 1.
Hence, the number of ways in which four 8's can be chosen would be :
1 × 1 × 1 × 1 = 1Therefore, there is only 1 way of choosing four 8's
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A cable 84 meters long is cut into two pieces so
that one piece is 20 meters longer than the other.
Find the length of each piece of cable.
Answer: 33
Step-by-step explanation: Let x equal the shorter piece.
x + (x + 18) = 84
2x + 18 = 84
2x = 66
x = 33
Find the quotient of 2 2 3 and 3 1 2 Give your answer as a fraction in its simplest form.
The correct answer is: " [tex]\frac{16}{21}[/tex] " .
_______
Step-by-step explanation:
" [tex]2\frac{2}{3}[/tex] ÷ [tex]3\frac{1}{2}[/tex] " =
" [tex]\frac{(2\frac{2}{3})}{(3\frac{1}{2})}[/tex] " ;
_______
" [tex]2\frac{2}{3} = \frac{[(3*2)+2]}{3} = \frac{(6+2)}{3} = \frac{8}{3}[/tex] " .
_______
" [tex]3\frac{1}{2} = \frac{[(2*3)+1]}{2} = \frac{(6+1)}{2} = \frac{7}{2}[/tex] " .
_______
→ " [tex]\frac{(2\frac{2}{3})}{(3\frac{1}{2})}[/tex] " ;
[tex]} = \frac{8}{3}[/tex] ÷ [tex]\frac{7}{2}[/tex] ;
Note that "dividing by a value" results in the same value as "multiplying by the reciprocal of that value" ;
The reciprocal of: " [tex]\frac{7}{2}[/tex] " ; is: " [tex]\frac{2}{7}[/tex] " ;
_______
[tex]= \frac{8}{3} *\frac{2}{7}= \frac{(8*2)}{(3*7)} = \frac{16}{21}[/tex] ; which cannot be further reduced as a fraction.
_______
The correct answer is: " [tex]\frac{16}{21}[/tex] " .
_______
Hope this is helpful!
Best wishes to you!
_______
What is 6% of 90? Helpp
Answer:
54
Step-by-step explanation:
6/100 = x/90
6×90=540
540/100=54
Please help maths question which box is it and why!
Answer:
the third one because it will make more sense
Step-by-step explanation:
Problem Set
100 yd. =
Answer:
1 yard = 3 feet
We can re-write this by dividing both sides by yards or feet to get
1 = 3 feet / 1 yard
or
1 yard / 3 feet = 1
Since we're solving for feet we want yards to cancel, so use the top proportion
(3 feet / 1 yard)(100 yards) = 300 feet / 1 = 300 feet
Ok please help me and no links or I will report you
Answer:
B 33
Step-by-step explanation:
Which situation represents the greatest percent of increase?
a. Original: 60
New: 75
b. Original: 140
New: 200
c. Original: 900
New: 1000
d. Original: 30
New: 60
Answer:
d because it incresed by 50binstead of 13 12 and 23 percent
HELP ME ON THIS QUESTION 10 POINTS PLZ
Answer:
0.5 or 1/2
Step-by-step explanation:
-1+3[(10-12)^3÷(-16)]
(10-12)^3÷(-16)
(-2)^3=-8
-8÷(-16)=0.5
Suppose that $3000 is placed in a savings account at an annual rate of 3.6%, compounded monthly. Assuming that no withdrawals are made, how long will it take for the account to grow to $4500? Do not round any intermediate computations, and round your answer to the nearest hundredth.
Using compound interest, it is found that it will take 11.28 years for the the account to grow to $4500.
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
A(t) is the amount of money after t years.
P is the principal(the initial sum of money).
r is the interest rate(as a decimal value).
n is the number of times that interest is compounded per year.
t is the time in years for which the money is invested or borrowed.
In this problem:
$3000 is placed in the account, thus [tex]P = 3000[/tex].Interest rate of 3.6%, thus [tex]r = 0.036[/tex].Monthly compounding, thus [tex]n = 12[/tex].We have to solve for t when [tex]A(t) = 4500[/tex], thus:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]4500 = 3000(1 + \frac{0.036}{12})^{12t}[/tex]
[tex](1.003)^{12t} = 1.5[/tex]
[tex]\log{(1.003)^{12t}} = \log{1.5}[/tex]
[tex]12t\log{1.003} = \log{1.5}[/tex]
[tex]t = \frac{\log{1.5}}{12\log{1.003}}[/tex]
[tex]t = 11.28[/tex]
It will take 11.28 years for the the account to grow to $4500.
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A fish store can place 5 fish in each fish bowl. If there are 263 fish to place, how many fish bowls are needed for all 263 fish?
Answer:
Step-by-step explanation:
1 bowl holds 5 fish
x bowls hold 263 fish
1/x = 5/263 Cross multiply
5x = 263 Divide by 5
5x/5 = 263/5
x = 52.6
So you actually need 53 fishbowls. One of them holds only 3 fish
jamarius 5th grade class was working on a reading project during the school year he wants to read 22 pages for 125 days if jamarius wants to meet his goal how man books will he have to read
Answer:
2750 pages
Step-by-step explanation:
but i am not sure how many books exactly .
Marie is reading a 271-page book. She has already read 119 pages. She uses the equation 119+8h=271 to find out how long it will take her to finish the book if she reads at about 8 pages per hour.
Solve for h.
Answer: the answer is 19
Step-by-step explanation:okay so she already have read 119 pages and the total pages is 271 so we substract 271-119=152 so she has 152 pages left so we divide 152 pages divided by 8 because she read 8 pages per hour so 152/8=19
NO LINKS OR ASSESSMENT!!!
Part 2: Graph a function when give the following Domain and Range:
Answer:
Step-by-step explanation:
The domain is the x value between - 5 and 7
The range is the y value between -2 and 6
You can find all sorts of definitions for the domain and range, but in this example it is really straight forward. If you put - 5 into the function, you get -2. If you put 7 into the function, you get 6. Now just draw a line between the two end points.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The point at the left end of the domain is not included in the function, but the function includes the limits of its range. One such function is shown in the attachment.
medical tests. Task Compute the requested probabilities using the contingency table. A group of 7500 individuals take part in a survey about a rare disease and medical test. The data for the group is given in the table below. A person listed as "Sick" has the disease, while someone listed as "Not Sick does not "Tested Positive means the test indicated the person was sick, and "Tested Negative" means the test indicated they were not sick. The test is believed to be around 99% accurate. Sick Not Sick Tested Positive 59 75 Tested Negative 1 7365 h One person at random is chosen from the group (3 pts) Find the probability the person is sick. b. (3 pts) Find the probability the test is positive given that the person is sick (3 pts) Find the probability the test is negative given that the person is not sick. d. (pts) Find the probability the person is sick given that the test is positive (3 pts) Find the probability the person is not sick given that the test is negative. f. (5 pts) When we say a test is 99% accurate, to what is that referring? Given vour calculations, should information other than a single test be considered when diagnosing a rare condition? If so, what other information might be considered? Criteria for Success
Probabilities are used to determine the chances of an event
The probability that a person is sick is: 0.008The probability that a test is positive, given that the person is sick is 0.9833The probability that a test is negative, given that the person is not sick is: 0.9899The probability that a person is sick, given that the test is positive is: 0.4403The probability that a person is not sick, given that the test is negative is: 0.9998A 99% accurate test is a correct test(a) Probability that a person is sick
From the table, we have:
[tex]\mathbf{Sick = 59+1 = 60}[/tex]
So, the probability that a person is sick is:
[tex]\mathbf{Pr = \frac{Sick}{Total}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{60}{7500}}[/tex]
[tex]\mathbf{Pr = 0.008}[/tex]
The probability that a person is sick is: 0.008
(b) Probability that a test is positive, given that the person is sick
From the table, we have:
[tex]\mathbf{Positive\ and\ Sick=59}[/tex]
So, the probability that a test is positive, given that the person is sick is:
[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Sick}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{59}{60}}[/tex]
[tex]\mathbf{Pr = 0.9833}[/tex]
The probability that a test is positive, given that the person is sick is 0.9833
(c) Probability that a test is negative, given that the person is not sick
From the table, we have:
[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]
[tex]\mathbf{Not\ Sick = 75 + 7365 = 7440}[/tex]
So, the probability that a test is negative, given that the person is not sick is:
[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Not\ Sick}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{7365}{7440}}[/tex]
[tex]\mathbf{Pr = 0.9899}[/tex]
The probability that a test is negative, given that the person is not sick is: 0.9899
(d) Probability that a person is sick, given that the test is positive
From the table, we have:
[tex]\mathbf{Positive\ and\ Sick=59}[/tex]
[tex]\mathbf{Positive=59 + 75 = 134}[/tex]
So, the probability that a person is sick, given that the test is positive is:
[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Positive}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{59}{134}}[/tex]
[tex]\mathbf{Pr = 0.4403}[/tex]
The probability that a person is sick, given that the test is positive is: 0.4403
(e) Probability that a person is not sick, given that the test is negative
From the table, we have:
[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]
[tex]\mathbf{Negative = 1+ 7365 = 7366}[/tex]
So, the probability that a person is not sick, given that the test is negative is:
[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Negative}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{7365}{7366}}[/tex]
[tex]\mathbf{Pr = 0.9998}[/tex]
The probability that a person is not sick, given that the test is negative is: 0.9998
(f) When a test is 99% accurate
The accuracy of test is the measure of its sensitivity, prevalence and specificity.
So, when a test is said to be 99% accurate, it means that the test is correct, and the result is usable; irrespective of whether the result is positive or negative.
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Commutative property of multipcation 3x4=12
Answer:
3x4=12 is the same as
4x3=12 and
12/3=4 and
12/4=3
The commutative property of multiplication is true for the expression 4 x 3 = 3 x 4 = 12.
What is multiplication?Multiplication is one of four mathematical arithmetic operations.
It is also a process of adding the same types of expression for some number of times.
The repeated addition is multiplication.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
The commutative property of multiplication:
Let a and b are the two numbers.
And the product of a x b is n.
So, a x b = b x a = n
Changing the numbers position does not affect the result.
Here,
3 x 4 = 4 x 3
12 = 12
This expression holds the commutative property of multiplication.
Therefore, 3 x 4 = 12 holds the commutative property.
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If l || m, find the value of each missing variable(s).
Answer:
12
Step-by-step explanation:
13x-21=5x+75
8x=96
x=96/8=12
Answer:
x=12
Step-by-step explanation:
Since the 2 lines are parallel we can use the rules of transversals. These 2 angels are alternate side interior. This means that they are congruent and have the same measurement. Because they have the same measurement, we can set them equal to each other and solve for x.
First, set the expressions equal to each other13x-21 = 5x+75
Next, add 21 to both sides13x = 5x+96
Then, subtract 5x from both sides8x = 96
Finally, divide both sides by 8x=12
Which number is closest to the square root of 84 ?
I NEED HELP ON THIS 10 POINTS
Answer:
-x-x-0.7
is equivalent to 1-2x-1.7
Consider the arithmetic sequence with a first term of 11 and sixth term of 21. What is the
sum of these first six terms?
A: 192
B: 52
C: 142
D: 96
Answer:
96Consider the arithmetic sequence with a first term of 11 and sixth term of 21. What is the
sum of these first six terms?
The required sum of the first 6th term of an arithmetic progression is 96. Option D is correct.
Given that,
Consider the arithmetic sequence with the first term of 11 and the sixth term of 21. To determine the sum of these first six terms.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
First term a = 11
6th term = a + 5d
21 = 11 + 5d
5d = 10
d = 2
Now,
sum of the six terms, = 6 / 2{11 + 21}
= 3 (32)
= 96
Thus, the required sum of the first 6th term of an arithmetic progression is 96. Option D is correct.
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COORDINATE GEOMETRY Find the perimeter and area of each figure with the given vertices. 20. D(-2,-2), E(-2, 3), and F(2, -1)
Step-by-step explanation:
Find the sides and perimeter:
DE = 3 - (-2) = 5EF = [tex]\sqrt{(2+2)^2+(-1+2)^2} =\sqrt{17}[/tex] ≈ 4.1DF = [tex]\sqrt{(2+2)^2+(3+2)^2} =\sqrt{41}[/tex] ≈ 6.4Perimeter:
P = 5 + 4.1 + 6.4 = 15.5 unitsFind the area using shoelace formula:
A = 1/2|(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)|=1/2|(-2*3 + -2* -1 + 2* -2) - (-2* -2 + 3*2 - 1* -2)|=1/2|(-6 + 2 - 4) - (4 + 6 + 2)| =1/2|-8 - 12| =1/2(20) = 10 units²
Translate the sentence into an inequality.
The sum of a number times 9 and 16 is at least 22.
Use the variable c for the unknown number.
the number of girls in the class was 1 less than 3 times the number of boys there were 15 students in all. How many were boys, and how many were girls
There was 4 boys and 11 girls in the class.
Let x represent the number of boys and y represent the number of girls.
Since the number of girls in the class was 1 less than 3 times the number of boys, hence:
y = 3x - 1
3x - y = 1 (1)
Also, there were 15 students in all, hence:
x + y = 15 (2)
Solving equations 1 and 2 simultaneously gives:
x = 4, y = 11
Hence, there was 4 boys and 11 girls in the class.
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13, 69, 89, 25, 55, 20, 99, 75, 42, 18, 66, 88, 89, 79, 75, 65, 25, 99, 66, 78. Order from least to greatest
help I'm going to die here I have a 23% in this class
Answer:
0.0026
I don't know how to add the work here
Y+2=-(x+4) in slope intercept form
Answer:
y=-x-6
Step-by-step explanation:
First, you have to distribute the - that is outside the parentheses. That leaves you with -x-4. So now your equation is y+2=-x-4. You want the y by itself so you subtract two from both sides leaving you with y=-x-4-2, which adds up to y=-x-6.
At a hockey game, a vender sold a combined total of 127 sodas and hot dogs. The number of sodas sold was 43 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold. Number of sodas sold:
Answer:
85 sodas
Step-by-step explanation:
Total sold was 127
The number of sodas was 43 + the number of hotdogs
Let x represent hotdogs:
x + (43 + x) = 127 (The 43 + x is the number of sodas sold.)
2x + 43 = 127
2x = 84
x = 42
42 hotdogs were sold., Since sodas are 42 + 43, 85 sodas were sold
-Chetan K
Please help! What values of x make the matrix M have an inverse?
Answer:
I'm not sure I'm only in middle school, but I'll put what I know.
Step-by-step explanation:
Step 1: Calculate the minor for the given matrix.
Step 2: Turn the obtained matrix into the matrix of cofactors.
Step 3: Then, the adjugate, and.
Step 4: Multiply that by reciprocal of determinant.
Can someone help with number 4 please
Answer:
.(0,4,3,1,2,5)..............
What is the image of the point (-9, -1) after a rotation of 270° counterclockwise
about the origin?
Answer:
(1,-9)
Step-by-step explanation:
During rotation anytime you rotate the figures the arrangement will change and also since you are rotating to 270 counter-clockwise(anti-clockwise)your answer will be (1,-9)
Answer: The correct answer is -1,9
Step-by-step explanation:
270 rule - (x, y) ⇒ (y, -x)
(-9, -1) ⇒ (-1, 9)
What's the answer to this world problem please:
Mr. See got $1675 from selling 50 thumb drives and computer keyboards. Each thumb drives cost $24 and each computer keyboard cost $49. How many computer keyboards did he sell?
Answer:
19 keyboards
Step-by-step explanation:
Let d = thumb drives; and k = computer keyboards
Total number of sales of thumb drives and keyboards is 50
50 = d + k
Rearranged:
d = 50 - k
Total revenue from the sale of $24 thumb drives and $49 keyboards is $1675
1675 = 24d + 49k
Sub in d = 50 - k
1675 = 24(50 - k) + 49k
1675 = 1200 - 24k + 49k
475 = 25k
k = 475/25
k = 19
(To check, d = 50 - 19 = 31)