Answers
Related Questions
How many 10 person juries can be formed from 21 possible candidates???
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This is a combination; out of 21 you are choosing 10:
[tex]_{21}C_{10}=\frac{21!}{10!11!}=352,716[/tex]
Answer:
352,716 juries of 10 people can be formed from 21 possible candidates
Step-by-step explanation:
I am supposing that there are no roles in the jury, which means that the order in which the people are chosen is not important. So i calculate the number of possible juries using the combinations formula.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
10 people from a set of 21
[tex]C_{21,10} = \frac{21!}{10!(21-10)!} = 352,716[/tex]
352,716 10 person juries can be formed from 21 possible candidates
If ab = 8 and a^2+b^2=16, then what is the value of (a+b)^2?
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Let's re-write the given "ab = 8 and a^2+b^2=16" as
a^2 + 2ab + b^2 = 16 + 2ab, or, equivalently, as
(a+b)^2 = 16 + 2(8) = 32.
This is the answer we wanted.
Solve the logarithmic equation. Round your answers to the nearest hundredth. 6+in x=8
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[tex]\bf \textit{Logarithm Cancellation Rules}\\\\ log_a a^x= x\qquad \qquad \boxed{a^{log_ax}=x}\\\\ -------------------------------\\\\ 6+ln(x)=8\implies ln(x)=2\implies log_e(x)=2 \\\\\\ e^{log_e(x)}=e^2\implies x=e^2[/tex]
Answer:
[tex]x=7.39[/tex]
Step-by-step explanation:
we are given equation as
[tex]6+ln(x)=8[/tex]
Since, we have to solve for x
so, we will isolate x on anyone side
Firstly, we will subtract both sides by 6
[tex]6+ln(x)-6=8-6[/tex]
[tex]ln(x)=2[/tex]
now, we can take exponent of e on both sides
[tex]e^{ln(x)}=e^2[/tex]
now, we can use property of log
and we get
[tex]e^{ln(a)}=a[/tex]
we can use it
[tex]x=e^2[/tex]
So, solution is
[tex]x=7.39[/tex]
A bag contains 5 purple marbles and 5 orange marbles. Rahul reaches into the bag and draws one marble without looking. Then he replaces the marble and repeats the experiment. If he repeats the experiment 120 times, how many times should he expect to pull out an orange marble? Please someone help me I need to finish this soon
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Number of favorable possibilities: 5.
Number of all the possibilities: 10.
So the probability of getting an orange marble is: 5/10=1/2.
Since the above probability is 50%, then multiply by the 120 experiment in order to get the number of time we expect an orange marble:
[tex]120\times0.5=60.[/tex]
Answer: 60 times.
If u = 3 inches, v = 4 inches, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches, what is the area of the object?
A.60 square inches
B.66 square inches
C.63 square inches
D.56 square inches
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u *v = 3 *4 = 12
72-12 = 60
3 *2 = 6/2 = 3
60 +3 = 63
Answer is C
The area of the object will be 63 square inches. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
If u = 3 inches, v = 4 inches, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches.
All the dimensions are shown in the figure.
Then the area of the geometry is the combination of two rectangle and one triangle.
Area = area of rectangle 1 + area of rectangle 2 + area of triangle 3
Area = 5 x 8 + 4 x 5 + (1/2) x 3 x 2
Area = 40 + 20 + 3
Area = 63 square inches
Then the correct option is C.
More about the geometry link is given below.
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An irregular polygon is shown below:
Image of irregular polygon with length of 8 units and height of 3 units labeled on left side. Top side length of 4 units, the side adjacent to it on the right is 1 units. The area of the irregular polygon is ____ square units.
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12+8=20.
HOPE THIS HELPED☺☺
Answer:
26
Step-by-step explanation:
Please help me with this question
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.. A = (1/2)*(1/2)*6*(10 cm)*x = 15x
.. 130 cm^2/15 = x ≈ 8.7 cm
_____
In a regular hexagon, the apothem is always the side length multiplied by (√3)/2. It will be 8.7 cm regardless of the shading.
A rectangle perimeter is 102 inches. The width of the rectangle is 9 inches more than half the length. What are the length and width of the rectangle?
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51 = L + (1/2L +9)
42 = 3/2L
28 = L
W = L/2 +9 = 23
The length and width of the rectangle are 28 inches and 23 inches, respectively.
Give a description of a3/4 turn of the minute hand on a clock face
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Anyone know the right answer?
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Whatever follows per is on the denominator of the fraction
So it's cm/$
21.5 cm / 17.20 = 1.25 cm / dollars.
It's an odd unit, but that's what it is.
This is very expensive wire. Must be made of something like platinum.
The sum of two numbers is 38. The larger number is 20 more than the smaller number. What are the numbers?
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x+20= larger number
Add the two numbers together and solve for x.
x + (x+20)= 38
combine like terms
2x + 20= 38
subtract 20 from both sides
2x= 18
divide both sides by 2
x= 9 smaller number
To find the larger number, substitute x=9 in the expression x+20.
=x+20
=9+20
= 29 larger number
CHECK:
9 + 29= 38
38= 38
ANSWER: The smaller number is 9 and the larger number is 29
Hope this helps! :)
Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic centimeter, what is the volume of an ice cube from Barry's tray?
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Find the general solution of the differential equation y'' - 2y' - 3y = -3te^(-t)
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if the unit selling price is2.50 and the unit cost 1.00 wjat action is needed maintain gross margin percentage when unit cost increase 0.25
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The length of a garden is 5m greater than the width. the area is 66m^2. Find the dimensions of the garden.
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Factor
(w+11)(w-6)=0
w+11=0
w=-11 (not possible - cant have negative length
w-6=0
w=6
L(6)=66
L=11
Width = 6
Length = 11
Which of the following is a negation of the statement below?
All students like math.
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Answer:
All students do not like math
Step-by-step explanation:
Because if it was 'No students do not like math' would mean 'all students like math'
what is the answer to 3 (k-2)-6=4k-(3k-1)
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3k -6 -6 = 4k -3k +1
Collect terms.
3k -12 = k +1
Add 12, subtract k
3k = k +13
2k = 13
Divide by the coefficient of k
k = 13/2 = 6.5
A motor bike gets $60 kilometers per gallon of gasoline how many gallons of gasoline would the bike need to travel 240 kilometers
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60 km/ 1 g = 240 km/ x
Cross multiply to find x.
60x = 240
x = 4 The bike would need 4 gallons of gasoline.
To calculate the amount of gasoline needed, divide the distance to travel (240 kilometers) by the vehicle's fuel efficiency (60 kilometers per gallon), which results in 4 gallons.
To find out how many gallons of gasoline a motorbike would need to travel 240 kilometers, we can use the provided fuel efficiency of the bike, which is 60 kilometers per gallon. The calculation involves dividing the total distance by the fuel efficiency:
First, write down the given efficiency: 60 kilometers per gallon.
Next, divide the distance to be traveled (240 kilometers) by the fuel efficiency:
240 kilometers / 60 kilometers per gallon = 4 gallons.
Thus, the motorbike would require 4 gallons of gasoline to travel 240 kilometers.
Dennis surveyed 30 students to determine their favorite fall sports. Of the students surveyed, 15 preferred football, 6 preferred soccer, and the rest preferred volleyball. Which is a correct statement about the results from the survey?
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Find the next number sequence 192,96
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Daisy designs 30 cards in a day and Lisa designs 12 cards in a day how many more cards does daisy design than Lisa
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Lisa designs 12 cards
Difference in the number of cards
30 - 12 = 8
Daisy designs 8 cards more than Lisa.
To find out how many more cards Daisy designs than Lisa, subtract the number of cards Lisa designs from the number of cards Daisy designs. Daisy designs 18 more cards than Lisa.
Explanation:To find out how many more cards Daisy designs than Lisa, we need to subtract the number of cards Lisa designs from the number of cards Daisy designs.
Daisy designs 30 cards in a day and Lisa designs 12 cards in a day.
Therefore, Daisy designs 30 - 12 = 18 more cards than Lisa.
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After a concert for 1,600 people, only 4 people said they would not go to see the band again. What percent of the people who went to the concert said they would not go to see the band again?
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The answer you are looking for is 0.25%.
To find this, you must first divide 4 by 1,600, to find the decimal amount of people who said they wouldn't go again. This would give you 0.0025, which you then multiply by 100 to make a percentage. Thus making 0.25%, the correct answer.
I hope this helps!
Answer:
0.25 percent
Step-by-step explanation:
how many subsets of at least one element does a set of six elements have
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but this also includes a null set, because a null set is a subset of every set
So in our problem = 2^6 -1 = 63 subsets
Choice B
Answer: The required number of subsets is 63.
Step-by-step explanation: We are given to find the number of subsets of at least one element that a set of six elements have.
We know that
the number of subsets of a set having n elements is given by
[tex]N=2^n.[/tex]
So, the number of subsets of the set having six elements will be
[tex]N=2^6=64.[/tex]
Since there is only one subset of every set that contains less than one element (that is the empty set), so
the number of subsets of the set with at least one element is given by
[tex]N-1=64-1=63.[/tex]
Thus, the required number of subsets is 63.
The basketball team has been working hard to increase their points scored. The goal is to increase the number by 9% each game. In last week’s game, they scored just 66 points. In this week’s game they scored 72 points. Did they reach their goal this week?
Yes, they increased their score by 9%.
Yes, they increased their score by 8%.
No, they increased their score by only 6%.
No, they increased their score by only 8%.
Description
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Yes, they reach the goal and increased their score by 9%.
What is percentage increase?% Increase = Increase / Original Number × 100. This gives you the total percentage change, or increase.
Given:
Last week game score=66
Next week game score= 72
Change in score= 72-66=6
So,
% increase= Change in score/original score *100
=6/66*100
=9.09 %
Hence, the score increase by 9.09%.
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Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
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y +4 = (-4-2)/(1-(-8))*(x -1) . . . . 2-point form
y +4 = -6/9(x -1)
y +4 = -2/3(x -1) . . . . . point-slope form
_____
Above is the usual form associated with the term "point-slope form." I prefer a form with the y-value of the point added to both sides:
.. y = -2/3(x -1) -4
Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 244 meters
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[perimeter of rectangle]=2*(length+width)
Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x
Area=x*y-------> x*(122-x)----> 122x-x²
find the derivative function and equals to zero
122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m
the maximum area is given by a square
the answer is
is a square of side 61 m
The probability is 0.2 that a person shopping at a certain store will
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which represents the solution(s) of the equation x2=289?
a. x equals the square root of 17
b. x equals positive square root of 17
c. x equals negative square root of 289
d. x equals positive square root of 289
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Hope this helps!
Answer:
The answer are the options C and D
x equals negative square root of [tex]289[/tex]
x equals positive square root of [tex]289[/tex]
Step-by-step explanation:
we have
[tex]x^{2} =289[/tex]
Take square root both sides
[tex]x=(+/-)\sqrt{289}[/tex]
therefore
the solutions are
[tex]x=+\sqrt{289}[/tex]
[tex]x=-\sqrt{289}[/tex]
What is the product of (–0.9)(–2.4)?
–3.3
–2.16
2.16
3.3
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This is because the two negatives would cancel each other out when multiplying. This would basically make the question [tex]0.9*2.4[/tex].
Now 3.3 is definitely not less than 2.4, so the answer would be 2.16
Two negatives terms multiplied together make a positive, so the product of (–0.9)(–2.4) will be equal to 2.16
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE know that Two negatives multiplied together make a positive, so the two negatives would cancel each other out when multiplying. This would basically make the solution.
WE have to find the product of (–0.9)(–2.4)
it’s simply (–0.9) x (–2.4) = 2.16
Now from the first option 3.3 is definitely not less than 2.4, so the answer would be positive 2.16
Hence, the product of (–0.9)(–2.4) will be equal to 2.16
Learn more about multiplications;
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find (f*f)(3) f(x)=x^2-x
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f(3) = (9 - 3)^2 - (9 - 3)
f(3) = 6^2 - 6
f(3) = 36 - 6 = 30
I wouldn't want to bet the farm on this. If you get another answer that is reasonable, take it.
To find (f * f)(3) for the function f(x) = x² - x, we calculate f(3) to get 6, and then square it to get 36.
The question is asking to calculate (f * f)(3) given the function f(x) = x² - x. To do this, we find the value of f(x) for x=3 and then square that result. First, let's compute f(3).
f(3) = (3)² - (3) = 9 - 3 = 6.
Now, we find (f * f)(3), which means f(3) * f(3).
(f * f)(3) = f(3) * f(3) = 6 * 6 = 36.
Therefore, the solution to (f * f)(3) is 36.