[tex]\frac{35}{2} \: or \: 17 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]7 \times 2 \frac{1}{2} [/tex]
Convert mixed number to fraction
[tex]2 \frac{1}{2} = \frac{5}{2} \\ \\ 7 \times \frac{5}{2} [/tex]
Simplify
[tex] \frac{7}{1} \times \frac{5}{2} = \frac{35}{2} [/tex]
Convert to mixed number
[tex]17 \frac{1}{2} [/tex]
You must choose five teammates from a group of 12 people. How many different teams can you form?
Answer:
2
Step-by-step explanation:
Answer:
792
Step-by-step explanation:
Combination question. The formula for which is:
n! / (r! (n - r)!)
12!/(5!*(12-5)!)
= 12!/(5!*7!)
= 792
Note: 12! = 12 x 11 x 10 x ... x 3 x 2 x 1
1/4 ÷ 5/6 = 1/a x b/c
a=4 b = 5 c=6
a=1 b=6 c=5
a=1 b=6 c=5
a=4 b=6 c=5
Answer:
this
answer
will
be
in
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book
Chris Butcher earns $21,423 per year. His
personal exemptions include himself, his
wife, and their son. The state tax rate in
his state is 4.5 percent of taxable income.
What amount is withheld yearly for state
income tax?
Answer:
Step-by-step explanation:
The data on the right represent the number of traffic fatalities by seat location and gender. Determine P() and P(|). Are the events "" and "" independent? Total Total Determine P(). P() . 318 (Round to three decimal places as needed.) Determine P(|). P(|) . 264 (Round to three decimal places as needed.) Are the events "" and "" independent? A. Yes. The occurrence of the event "" affects the probability of the event "." B. No. The occurrence of the event "" affects the probability of the event "." C. No. The occurrence of the event "" does not affect the probability of the event "." D. Yes. The occurrence of the event "" does not affect the probability of the event "."
Answer:
The probability of selecting a male is 0.3151.
The events "male" and "driver" are not independent.
The correct option is B.
Step-by-step explanation:
The missing data is as follows:
Female Male Total
Driver 32759 11715 44474
Passenger 6534 6361 12895
Total 39293 18076 57369
The complete question is:
Determine P(male) and P(male|driver). Are the events "male" and "driver" independent?
Solution:
Compute the probability of selecting a male as follow:
[tex]P(M)=\frac{n(M)}{N}=\frac{18076 }{57369}=0.3151[/tex]
Thus, the probability of selecting a male is 0.3151.
Compute the probability of selecting a male given that he is a driver as follows:
[tex]P(M|D)=\frac{P(M\cap D)}{P(D)}=\frac{n(M\cap D)}{n(D)}=\frac{11715 }{44474}=0.2634[/tex]
Two events, say A and B, are independent if:
P (A|B) = P(A)
Here, P (M|D) ≠ P (M)
Thus, the events "male" and "driver" are not independent.
P(female)= .317
Determine P(femaleIpassenger)= .264
No. The occurrence of the event
"passenger" affects the probability of the event "female."
Weather updates every 18 minutes. First update was 2 PM and you turned on the radio at 5:30 . How long til the next update
Answer: 8:30 maybe
Step-by-step explanation:
Evaluate the function x=2 g(x)=-4x
Answer:
g(2)= -8
Step-by-step explanation:
g(2)= -4(2)
g(2)= -8
I always get this one wrong I just need help finding out the right answer
Answer:
b,c,d,f
Step-by-step explanation:
ur welcome
brainliest appreciated
Two functions are shown below
f(x)=6x+3
g(x)=3x-2
What is the product of f(3) and g(-4)
Answer:
-294
Step-by-step explanation:
f(3) = 6(3) + 3
f(3) = 18 + 3
f(3) = 21
g(-4) = 3(-4) - 2
g(-4) = -12 - 2
g(-4) = -14
f(3) * g(-4) = 21 * -14 = -294
Hope this helps!
Answer:
a. -294
Step-by-step explanation:
f(x)=6x+3
f(3)=6(3)+3
f(3)= 18 +3
f(3)= 21
g(x)=3x-2
g(-4)=3(-4)-2
g(-4)=-12-2
g(-4)=-14
21 x -14 = -294
What will a $210,000 house cost 10 years from now if the inflation rate over that period averages
%3 compounded annually? $282, 222.44
The cost of the house 10 years from now in the case when inflation rate should be 3% is $282,222.44.
Calculation of the cost of house:Since
The house cost is $210,000
The time period is 10 years
And, the rate of interest is 3%
So,
[tex]= \$210,000 \times (1 + 0.03)^{10[/tex]
= $282,222.44
Hence, The cost of the house 10 years from now in the case when inflation rate should be 3% is $282,222.44.
Learn more about cost here: https://brainly.com/question/13295042
The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected. If P(x > c) = 0.488 , find c
Answer:
52.4 min
Step-by-step explanation:
100% of the times are between 49.2 min and 55.5 min.
48.8% of the times are between x and 55.5 min.
Write a proportion:
(55.5 − 49.2) / 1 = (55.5 − x) / 0.488
0.488 (55.5 − 49.2) = 55.5 − x
3.0744 = 55.5 − x
x = 52.4256
Rounded to the tenths place, the time is 52.4 min.
Indicate the equation of the given line in standard form. The line with slope 9/7 and containing the midpoint of the segment whose endpoints are (2, -3) and (-6,5).
Given parameters:
Coordinates of end points = (2, -3) and (-6,5).
Slope of line = [tex]\frac{9}{7}[/tex]
Unknown:
Equation of the line with the given slope = ?
Solution:
Let us find the coordinates of the mid-point of the line given.
Since the end points are (2, -3) and (-6,5);
Midpoint;
x, y = [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex]
x, y = [tex]\frac{2 + (-6)}{2}[/tex] , [tex]\frac{-3 + 5}{2}[/tex] = -2 , 1
The coordinate of the mid point = -2,1
Equation of a line is;
y = mx + c
x and y are the coordinates
m is the slope
c is the y intercept
We need to find c in order to fully develop our equation;
y = mx + c
y = 1 , x = -2 and m = [tex]\frac{9}{7}[/tex]
So,
1 = [tex]\frac{9}{7}[/tex] x (-2) + c
c = 1 + [tex]\frac{18}{7}[/tex] = [tex]\frac{25}{7}[/tex]
Now, the equation of the line is;
y = -2x + [tex]\frac{25}{7}[/tex]
Multiply through by 7,
7y = -14x + 25
The equation of the line is 7y = -14x + 25
solve 3x+11=k for x
a. x=k-11
b. x= k+11/3
c. x= k-11/3
d. x= 3k-11
Started business whit cash Rs 250000 and Machinery Rs 200000
Accounting equation
[tex]\huge\purple{Answer}[/tex]
In case there is no double entry system is followed, profit can be calculated by comparing the opening and closing capital. In the given situation this can be calculated as:
Opening Capital Rs.200000
Add: Capital Introduced Rs.200000
Add: Profit for the year Rs. 250000
Less: Loss for the year Rs.NIL
Less: Drawings Rs. 30000
--------------------
Capital at the end of the year Rs.620000
-------------------
Loan taken is a liability and loan given is asset, that will not affect the capital.
ƑƠԼԼƠƜ MЄ❤If f(x) = 6x + 2, which of the following values would complete the table shown?
Answer:
38
Step-by-step explanation:
f(x)=6x+2
6x6 (6 sqaured)
f(36)=36x+2
Now we add 36+2
38
Answer:
14 and 50 :)
Step-by-step explanation:
Which equation represents the sentence?
Four more than one-third a number is equal to 14.
A. 1/3(n+4)=14
B. N/3 + 4= 14
C. 4n + 1/3 = 14
D. 4(n/3) = 14
Can y'all explain to me I don't get it pleaseee help
What is the value of -2.4 /1.5?
A -1.6
B. 1.6
C. -0.9
Suppose a hawk can fly 78 miles in 3 hours. An owl can fly 99 miles in 4 hours. Which raptor can fly faster and by how much?
Answer:
The Hawk can fly faster
Step-by-step explanation:
First, take 78/3 that will give you the miles per hours the hawk flys.
78/3 = 26 miles/ per hour
Then, do the same for the owl.
99/4 = 24.75 miles an hour.
To find out how much faster the hawk in than the owl suntract the owls miles per hour from the hawks miles per hour.
24.75 - 26 = 1.25 miles faster
A CLASS OF 28 STUDENTS HAS 12 GIRLS.WHAT IS THE RATIO OF GIRLS TO BOYS
Answer:
3:7
Step-by-step explanation:
thats the ratio simplified
Answer:
12:16
Step-by-step explanation:
$4.99 for 6 cans or $7.99 for 10 can
Answer:
$7.99 for 10 cans
Step-by-step explanation:
83 cents per can or 78 cents per can
It is cheaper to do 7.99 for 10 cans
Suppose you need to build a box with a surface area of 90 square feet. If the length is 5 feet and the height is
2 feet, what is the width of the box?
Answer:
Hi there!
Your answer is:
W=17.5feet
Step-by-step explanation:
We use the surface area form for a cuboid:
2h(l+w)=SA
Fill in the known values!
2(2)* (5+ W) = 90
Solve for W!
4*(5+W)=90
20+4w=90
-20
4w=70
/4
W=17.5feet
Can someone help me with this??
Answer:
Step-by-step explanation:
Let the number of weeks = x
4*2.54 + 4x = growth for A
10*2.54 + 1*x= growth for B
So they will be the same when the 2 left sides are equated.
10.16 + 4x = 25.5 + x Subtract 10.16 from both sides
4x =25.5-10.16 + x Combine
4x = 15.34 + x Subtract x from both sides.
4x-x = 15.34
3x = 15.34 Divide by 3
x = 15.34/3
x = 5.11
So the answer is just a little over 5 weeks.
Which of the following does not represent a function?
What is the image point of (4,-7) after a translation of right 4 units and up 5 points
Answer:
(8,2)
Step-by-step explanation:
3p -3= 8p+5 need help please
Answer:
[tex]\frac{8}{5} -= p[/tex]
Step-by-step explanation: 3p -3 =8p + 5 3 +5 =8p -3p 8=5p [tex]\frac {8}{5}- = p[/tex]
Answer:p=-8/5
Step-by-step explanation:simplify
subtract -8p from both sides
simplify
divide by -5
p=-8/5
work out the volume of the cuboid in cm³
Answer:
it is 192000 is got it right
7 to the power of -3
Answer:
one over 343 hope this helps
Step-by-step explanation:
While visiting an orchard, the Williams family picked 98 apples, 49 oranges, 52 lemons, and 103 limes.
Approximately how much fruit did the family pick in total that day?
Answer:
302
Step-by-step explanation:
should be 302 (98+49+52+103) but I would check to make sure all the things listed are considered fruit
What is the slope of the line shown?
Answer:
The slope is 2, or 2/1
Step-by-step explanation:
If you count the rise/run, you get 4/2, which simplifies to 2/1, which is the same as 2.
Find the domain of the function expressed by the formula: b y= 1/x −7
Answer:
All real numbers except 7
Step-by-step explanation:
Their total bill is $356.88. If they pay $220 in cash and charge the remainder, how much will they charge?
Answer:
$136.88
Step-by-step explanation:
$356.99
-$220.00
________
$136.88
Therefore that would be the remainder.
Hope this helped : )
Answer:
They will charge $136.88
Step-by-step explanation:
Elizabeth is correct.
Findinf the remainder in this situation means finding the difference (subtraction)
356.88 - 220 = 136.88