P(A/B) = P(ANB)
P(B)
Freshmen
Sophomores
Juniors
Seniors
Boys
3
1
4
2
Girls
7
9
6
5
P(Freshman Boy)
The probability of a freshman being a boy is 3/37.
What is probability?
Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.
The total number of students is:
3 + 1 + 4 + 2 + 7 + 9 + 6 + 5 = 37
The number of freshman boys is 3. Therefore,
P(Freshman Boy) = number of freshman boys / total number of students
P(Freshman Boy) = 3/37
Hence, the probability of a freshman being a boy is 3/37.
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Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 20 10. 5
Given:
Consider the given terms of the sequence are:
20, 10, 5, ...
To find:
The type of sequence (arithmetic or geometric) and the common difference / ratio in simplest form.
Solution:
We have,
20, 10, 5, ...
Difference between consecutive terms are:
[tex]10-20=-10[/tex]
[tex]5-10=-5[/tex]
Since [tex]-10\neq -5[/tex], therefore the given sequence has no common difference, it means the given sequence is not arithmetic.
Ratio between consecutive terms are:
[tex]\dfrac{10}{20}=\dfrac{1}{2}[/tex]
[tex]\dfrac{5}{10}=\dfrac{1}{2}[/tex]
The given sequence has a common ratio [tex]\dfrac{1}{2}[/tex], it means the given sequence is a geometric sequence.
Therefore, the given sequence is a geometric sequence with common ratio [tex]\dfrac{1}{2}[/tex] it is also written as 0.5.
16. The list below shows the different choices of pizza at
the local pizza shop:
.
.
pepperoni: 11
supreme: 7
cheese: 6
Hawaiian: 3
Based on these results, if 189 pizzas were sold, then how
many could be expected to be cheese?
Answer:
162
Step-by-step explanation:
189-11=178
178-7=171
171-6=165
165-3=162
"The product of four and a
number is more than ten."
Answer:
x>5/2
Step-by-step explanation:
4x>10
x>10/4
x>5/2
What is the product of 4 cos
14 (cos(37) + i sin (34) and 2 (cos(5) + sin(5)}?
--4 cot (--45)
cos (390)
sin (330)
I need the answers plss
Answer:
a) adjacent angles, complementary angles
b) vertical angles, congruent angles
c) supplementary angles, adjacent angles
d) supplementary angles, adjacent angles
Step-by-step explanation:
Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )
Complementary angles are angles that form a 90 degree angle ( right angle )
Supplementary angles are angles that form a straight line
Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )
f(x) = x2
g(x) = 3x2
Which option could show the graphs of f and g?
Answer:
2 Transformations
Step-by-step explanation:
A reflection in the x axis accounts for the minus sign and because there's a 3 there, it is a stretch in the y direction scale factor 3. hope this helps :)
WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in right triangle BPO
with PB = 4 ( half of AB ) and OB = 5 ( radius of circle )
OP² + 4² = 5²
OP² + 16 = 25 ( subtract 16 from both sides )
OP² = 9 ( take the square root of both sides )
OP = [tex]\sqrt{9}[/tex] = 3
1000 + 874 + 53528 - 1026 =
Answer:
54376
is the answer .......
In a sale the original prices are reduced by 20%.
Calculate the original price of a truck that has a sale price of $14400.
Answer:
17260
Step-by-step explanation:
multiply 14400 by 20%
After that add 14400 and 2880together
and you got the answer
Answer:
The original price would be $17,280
Step-by-step explanation:
14,400× 0.2= 2,880
14,400+ 2,880= 17,280
Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)
HELPPPPPPPP
Answer:
$103
Step-by-step explanation:
Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)
From the above question:
1 square foot = $3.19
32.29 square feet = x
Cross Mulitiply
x = 32.29 × $3.19
x = $103.0051
Approximately to the nearest cent = $103
Therefore, it will cost $103 to purchase the flooring panels
How would you find the area of this parallelogram? Describe your strategy.
Answer:
To find the area of a parallelogram, multiply the base by the height.
The formula is: A = B x H where B is the base, H is the height.
Step-by-step explanation:
!!HELP PLEASE NO LINKS!!Select the graph of y = 2 cos (4x) +1
To solve this problem, we simply need to plot the cosine graph.
Graph of CosineThe graph of cosine can easily be plotted and we can compare both together.
Kindly check the attached image and we can easily see the graph of
[tex]y = 2cos(4x) + 1[/tex]is option A.
Comparing the asymptotes together, it reveals more information on that.
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what is the value of x
Answer:
8
Step-by-step explanation:
Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.
Hope that this helps!
Answer:
I. x=8
Step-by-step explanation:
lines form 180° angles so
140 +5x= 180 ; subtract 140 from both sides
5x= 180-140; divide both sides by 5
x= 40/5 = 8
FBISD bought 12 new chairs for $28.99 each, and 8 tables for $45.50 each. What is the total price, including 8.25% sales tax.
A)$772.39
B)$711.88
C)$347.88
D)$60.51
Please hurryyyyy please
Answer:
d
Step-by-step explanation:
-2x + 6 greater than or equal to -4
Answer:
C
Step-by-step explanation:
-2x+6 [tex]\geq[/tex]-4
-6 -6
-2x [tex]\geq[/tex]-10
divide both sides by -2
-2/2=-1
-10/2=-5
-5*-1=5
x[tex]\geq[/tex]5
x is greater than 5 so the number should be larger than 5 or equal to 5.
a. 96°
b. 132°
c. 137°
d. 89°
Answer:
c. 137°
Step-by-step explanation:
which statement is true
Which expression has a value of 2/3?
A. 8 + 24 divided by 12 x 4
B. 8 + 24 divided by (12 x 4)
C. (8 + 24) divided by (12 x 4)
D. 8 + (24 divided by 12) x 4
Answer:
C)
Step-by-step explanation:
A) 8 + 24 ÷ 12 x 4 = 8 + 2 x 4 = 8 + 8 = 16
B) 8 + 24 ÷ (12 x 4) = 8 + 24 ÷ 48 = 8 + 1/2
C) 32 ÷ 48 = 2/3
D) 8 + 2(4) = 16
If you place a 32-foot ladder against the top of a building and the bottom of the ladder is 24 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer: 21.2
Step-by-step explanation:
Answer: 22.2
Step-by-step explanation: the other person miss typed
In the diagram below, what is the measure of angle 1?
Answer: 82 degrees
Step-by-step explanation:
Pls answer answer pls
Answer:
48 :)
Step-by-step explanation:
120 divided by 10 = 12
12 x 4 = 48
Answer:
yo momma
Step-by-step explanation:
ha
hello please help i’ll give brainliest
Answer:
the bin 60-69 contain the most data values
Answer:
third option is the right one
Step-by-step explanation:
find the area of the triangle
the perimeter of a rectangle parking lot is 322 m. if the length of the parking lot is 86 m, what is the width
To the nearest mile, what is the total distance that he ran?
6 miles
8 miles
O 11 miles
25 miles
Answer:
where's the picture. to the nearest mile...
Step-by-step explanation:
;-;
NEED HELP ASAP 50 POINTS 20 MINS LEFT
Answer:
look at the picture I have sent
ILL GIVE BRAINLIEST. plsss help asap
Answer:
first one
Step-by-step explanation:
Answer:
It will be the first answer, Both balls will at the same rate
What is the quotient?
I NEED IMMEDIATE HELP!! THIS IS DUE IN TOMORROW MORNING
Answer:
Rotation by 90 degrees clockwise about the point (2,2)
Step-by-step explanation:
Hope this is useful to u