Answer:
420 waysStep-by-step explanation:
There are 3 possible scenarios
1) 5 questions from A and 3 questions from B:
[tex]_7C_5*_5C_3=7!/5!2!*5!/3!2! = (6*7)/2*(4*5)/2=210[/tex]2) 4 questions from each part:
[tex]_7C_4*_5C_4=7!/4!3!*5!/4!1! = (5*6*7)/(2*3)*5=175[/tex]3) 3 questions from A and 5 questions from B:
[tex]_7C_3*_5C_5=7!/4!3!*1 = (5*6*7)/(2*3)=35[/tex]Total number of ways:
210 + 175 + 35 = 420Answer:
Student has to do 8 questions such that he does at least 3 questions from both the sets
How can he go about (Set I, Set II) =(3,5) or (4,4) or (5,3)
So, total number of ways of doing this is given by
[tex]5c_{3} \times 7c_{5} + 5c_{4} \times 7c _{4} + 5c_{5} \times 7c _{3}[/tex]
[tex] = (10)(21) + (5)(35) + (1)(35) = 210 + 210 = 420[/tex]
(ノ^_^)ノ
Use the variable j to represent jennys age
Sum is addition.
Twice Jenny’s age would be multiplying her age by 2.
Answer: 13 + 2j
f we randomly choose TWO cards without replacement, what is the probability that we’ll get only one King? [ Select ] If we randomly choose THREE cards without replacement, what is the probability that we’ll get exactly two Red cards? [ Select ] If we randomly choose FOUR cards without replacement, what is the probability that we’ll get exactly one Face card? [ Select ]
Write your own problem, and solve it. Be ready to share the question tomorrow.
Answer: 1,409.737566825
1.785 * 789.768945 = 1,409.737566825
Step-by-step explanation:
A missile uses an internal computer clock to measure time in tenths of a second. The missile guidance system needs the time from launch, in seconds, in order to calculate its distance from the launch site. It obtains this by multiplying the computer clock time by 0.1. So, for example, a reading of 50 tenths of a second is 5 seconds. For one particular missile system, the conversion factor of 0.1 is stored in 8 bits as the binary number 0.000110012.
The missile’s internal computer clock shows 200 tenths of a second. Convert this to seconds using your result from Part (i) of this question. Do not round your answer. The missile guidance system now records that it has travelled for this number of seconds.
Using proportions, it is found that the missile's internal computer clock is of 20 seconds.
According to the information given, this question can be solved by proportions, using a rule of three.50 tenths of a second is equivalent to 5 seconds, and we want to find the equivalent to 200 tenths of a second, thus, the rule of three is:
50 tenths - 5 seconds
200 tenths - x seconds
Applying cross multiplication:
[tex]50x = 5(200)[/tex]
[tex]50x = 1000[/tex]
[tex]x = \frac{1000}{50}[/tex]
[tex]x = 20[/tex]
The missile's internal computer clock is of 20 seconds.
A similar problem is given at https://brainly.com/question/24372153
Write the numbers in order from least to greatest.
6.03 , 6 2/5, 6.2, 61/3
Answer:
6.03, 6.2, 6 2/5, 61/3
Step-by-step explanation:
6.03
6 2/5 = 6.4
6.2
61/3 ≈ 20.33
What is 4 x 3 to the 2nd power
What is an algebraic expression for "40 more than b?
Answer:
40 + b
Step-by-step explanation:
40 more than b = 40 + b
7) Find the equation of a line that passes through the points (2, 16) and (-1, 7).
Answer:
y=3x+10
Step-by-step explanation:
7-16=-9
-1-2=-3
-9/-3=3
m=3
Find the perimeter of a triangle with sides of 12 inches, 14 inches, and 16 inches.
Answer: 42 inches
Step-by-step explanation:
a+b+c=perimeter
12+14+16=42 inches
Perimeter of the triangle = (12 + 14 + 16) inches
= 42 inches
What is the simple interest on a principal of $4,200 invested at an interest rate of
8% for 3.5 years?
Answer:
$1176
Step-by-step explanation:
4200 x 0.08 x 3.5 = $1176
Find the difference,
832 - 675
Answer:
157
Step-by-step explanation:
157 would be you're asnwer
please tell me If u got u right or if its incorrect
gsgs helpppp.plssssss
QUESTION 18
A natural gas company charges a fixed customer fee of $ 12.60 every
month even if no natural gas is used. For every unit of natural gas used,
the customer is charged an additional $0.64.
a. Using was the number of units used in a month and y as the total
monthly cost, write an equation that fits this problem.
Answer:
y = 0.64w + 12.60Step-by-step explanation:
This is a linear relationship y= mx + b and:
The y-intercept is b = 12.60The slope is m = 0.64The monthly total is:
y = 0.64w + 12.60If cost is represented by C(x)=1.8x+10,000 and revenues are represented by R(x)=8.5x, which equation could be used to find the break-even point?
Answer:
8.5x=1.8x+10,000
Step-by-step explanation:
The break-even point is the point where the expressions for the functions have the same value: 8.5x=1.8x+10,000.
HELP
match the function with its inverse
Answer:
1st row 3 down
Step-by-step explanation:
Answer:
Step-by-step explanation:
PLATO
Jack had m that problems to complete during his vacation. He solved the same number of problems every day and finished them all in 5 days. How many problems did Jack solve per day?
Answer: 1 problem per day
Step-by-step explanation:
m/5 problems completed in 5 days.
substite m with 5 because 5 days
5/5
5/5=1
Therefore Jack solved 1 question per day.
The number of problems Jack solve per day is 4 problems.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
Number of days= 5days
Now,
To find how many problems Jack solved per day, we need to divide the total number of problems by the number of days. This is because he solved the same number of problems every day. So, we can write an equation as:
m / 5 = p
where m is the total number of problems and p is the number of problems per day.
To solve for p, we need to multiply both sides of the equation by 5 and get:
p = m
This means that Jack solved m problems per day.
For example, if m = 20, then Jack solved 20 / 5
= 4 problems per day.
Therefore, by algebra the answer will be 4.
More about the Algebra link is given below.
brainly.com/question/953809
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Determine the equation of the line perpendicular to y = 1 - 1/4x and passing through the point (-3,5)
please I need help!!!!
Answer:
y = 4x + 17
Step-by-step explanation:
y = 1 - 1/4x = - 1/4 x + 1 .... slope -1/4
perpendicular line slope = - (1 / (-1/4) = 4
pass (-3,5): (y-5) / (x - -3) = 4
y-5 = 4x + 12
y = 4x + 17
62 points! a bus traveled on a level road for 3 hours at an average speed of 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 6 hours. Find the average speed on the levelroad if the entire trip was 482 miles.
Answer:
≈ 66.89 mphStep-by-step explanation:
Let the average speed on the level road was x.
Then the average speed on the winding road was x - 20.
The total distance is:
3x+ 6(x - 20) = 4823x + 6x - 120 = 4829x = 482 + 1209x = 602x = 602/9x ≈ 66.89 mphDennis Hausearns $67,000 per year as a business manager. His exemptions
include himself, his wife, and their daughter. The state tax rate in his state is
3.5% of taxable income. Find the state tax withheld using the following figure.
Exemptions
Single
$1,500
Married $3,000
Each Dependent $1,500
$2,142.32
$2,361.50
$2,187.50
$2,237.50
Answer: $2,187.50
Step-by-step explanation:
Define all the exemptions that applie:
exemption for being married: $3000
exemption for 1 dependent: $ 1,500
3000 + 1500 = 4500
Subtract the exemptions from the yearly earnings:
67000 - 4500 = 62,500
Now, applied the 3.5 % tax
3.5 / 100 = (0.035)
62,500 x 0.035 = 2187.50
Write the prime factorization of 16. Use exponents when appropriate and order the factors from least to greatest (for example, 2.2.3.5).
23
hlp plz this is really hard
Answer:
16 =2^4
Step-by-step explanation:
16
16 = 4*4
but 4 is not prime
4 = 2*2
16 = 2*2*2*2
Rewriting with exponents
16 =2^4
Answer:
→ Prime factorization of 16 :
16 = 2 × 2 × 2 × 216 = 2⁴; in the form b = aⁿhere, n = 4 is the exponent and a = 2 is the prime factor16 = 2⁴ is the right answer.FIND X. Just type the number.
what does 3x mean?
and can you solve this equation?
Answer:
The diagram shows a right angle 3 x = 90 so x = 30
Or x + 3 x = (180 - 60) = 120
And again x = 30 deg
Solve the formula for the variable h.
f= 5gh
h=[
3. Determine whether each relationship is a function. Explain
Jesse roasted 12 marshmallows in 4 minutes. How many marshmallows could she roast in 7 minutes?
Step-by-step explanation:
hi if you don't know a answer for a question you can use the app called.... maths scanner
10. In the figure to the right, AB is parallel to CD. Which statement proves that 23 = 277
A. If two parallel lines are cut by a transversal, the alternate interior angles are congruent.
B. If two parallel lines are cut by a transversal, the alternate exterior angles are congruent.
.If two parallel lines are cut by a transversal, the corresponding angles are congruent.
D. If two parallel lines are cut by a transversal, the vertical angles are congruent.
Answer:
The answer is what I assume to be C. If two parallel lines are cut by a transversal, the corresponding angles are congruent
Step-by-step explanation:
Where is the image for this?
Hope this helped. ;)
A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get
28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes, find the empirical probability of getting color P(R).
O A. 6/25
OB. 1/4
O C. 3/10
O D. 13/50
Answer:
B
Step-by-step explanation:
28+25+29+18 = 100
red = 25
25/100 = 1/4
The required empirical probability is 1/4 which gets the color of red P(R).
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get
28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes
To find the empirical probability of getting a red outcome, we need to divide the number of red outcomes by the total number of spins:
P(R) = 25 red outcomes / 100 spins
Apply the division operation, and we get
P(R) = 1/4
Hence, the required empirical probability is 1/4
Therefore, the correct answer is 1/4 or option B.
Learn more about probability here:
brainly.com/question/11234923
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5634 ÷ 18 and show work
Answer:
313
Step-by-step explanation:
Hope this helps! Pls give brainliest!
help me with this sum I will mark you as brainiest
Answer: 195
176
888
173
199
can u pls give brainliest
solve this equation
3/7x+5=-4/7x-3
Answer:
x = -8
Step-by-step explanation:
[tex]\frac{3}{7} x + 5 = \frac{-4}{7} x - 3\\5 = -1x-3\\8 = -1x\\-8 = x[/tex]
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
x = -7 —> f(x) =4
x = -1 —> f(x) = 4
x=2 —> f(x) = 4
I hope I helped you^_^