Answer:
B. (2, 9)
Step-by-step explanation:
I calculated it logically
There are 7 women and 9 men with a chance to be on a game show. The producer of the show is going to choose 7 of these people at random to be contestants. What is the probability that the producer chooses 4 women and 3 men? Round your answer to three decimal places.
Answer:
147/572
Step-by-step explanation:
The number of combinations of n things chosen r at a time is
[tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex] (Some writers use the symbol [tex]_nC_r[/tex])
Choose 4 women from the 7:
[tex]\binom{7}{4}=\frac{7!}{4!(7-4)!}=35[/tex] ways
Choose 3 men from 9:
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=84[/tex] ways
There are 35 x 84 = 2940 ways to choose both, out of
[tex]\binom{16}{7}=\frac{16!}{7!(16-7)!}=11440[/tex] ways to choose any 7 people from the group of 16.
Probability:
[tex]\frac{2940}{11440}=\frac{147}{572}[/tex]
P.S. As an example of how to calculate combinations, here's the calculation (by hand, a calculator is easier!) of [tex]\binom{9}{3}[/tex].
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}[/tex]
When you write out the factorials, you can do a bunch of cancellation between the numerator and denominator.
[tex]\frac{9\cdot8\cdot7\cdot\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1)}}=\frac{9\cdot8\cdot7}{3\cdot2\cdot1}=84[/tex]
5. What is the mode in this sequence of numbers? 5, 10, 16, 3, 8, 11, 7, 10,2 I a. 8 b. 5 c. 11 d. 10
Answer:
Step-by-step explanation:
c, because 3+8 is 11 so c would be correct
It takes 7 hours for 12 men to paint a room.
How many men would be needed to paint the room in 3 hours?
Answer: 28 men would be needed to paint the room
q=number of men for 3 hours
q x 1/84 x 3 = 1
q x 1/28 = 28
Please help triangle similarity
9514 1404 393
Answer:
(C) SAS
Step-by-step explanation:
The obtuse angles in each triangle are "corresponding" with respect to the segments marked parallel and the horizontal transversal.
Those angles are between pairs of proportional sides:
60/42 = 40/28 = 10/7
so, the applicable theorem is SAS. The triangles can be proven similar using the SAS theorem.
Enter the distance between each pair of islands. Use
the sketch tool if it helps with your thinking.
Press I'Find the Coconuts" to check your work.
Island
Distance Between Islands
(miles)
A(10,10)
B(18,4)
C(25,-5)
9514 1404 393
Answer:
AB = 10
BC ≈ 11.40
Step-by-step explanation:
The distance formula is useful for finding distances between points.
d = √((x2 -x1)² +(y2 -y1)²)
AB = √((18 -10)² +(4 -10)²) = √(8² +(-6)²) = √100
AB = 10
__
BC = √((25 -18)² +(-5-4)²) = √(7² +(-9)²) = √130
BC ≈ 11.40
_____
A sketch tool can be useful for finding or checking the answer.
Express the product of (1/2x + 1/5) and (5/3x+1/3) as a trinomial in simplest form.
Answer:
5/6x^2 + 1/2x + 1/15
Step-by-step explanation:
(1/2x + 1/5)(5/3x + 1/3)
5/6x^2 + 1/6x + 1/3x + 1/15
5/6x^2 + 1/6x + 2/6x + 1/15
5/6x^2 + 3/6x + 1/15
5/6x^2 + 1/2x + 1/15
An average human heart beats 60 times per minute. If an average person lives to the age of 75, how many times does the average heartbeat in a lifetime?
There should be ( ) heartbeats per lifetime.
(Enter your answer as a decimal number. Round to two decimal places.)
Answer:
The average number of beats in a lifetime would be 2,365,200,000
Step-by-step explanation:
To find the amount we need to take basic steps. The first step is multiplying the number of beats to find out how many are in an hour. Since there are 60 in a minute and 60 minutes in an hour, multiply the two.
60 beats * 60 minutes = 3,600 beats per hour.
Now multiply the amount of beats in an hour by the number of hours in a day.
3,600 * 24 hours = 86,400 beats per day
Now multiply the number of days in a year. Technically there is 365 1/4 in a year, but we'll use the flat rate of 365 since that is generally the accepted answer.
86,400 * 365 days = 31,536,000 beats per year
And now we take that number and multiply by the number of years that he lines
31,536,000 * 75 years = 2,365,200,00 beats in a lifetime
The heart beats 236,520, 000 times in a lifetime.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
An average human heart beats 60 times per minute.
Now, the amount of beats in an hour by the number of hours in a day.
= 3,600 x 24 hours
= 86,400 beats per day
Again, the amount of beats per year
= 86,400 x 365 days
= 31,536,000 beats per year
So, the heart beats
= 31,536,000 x 75 years
= 236,520, 000 beats in a lifetime
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
question is in photo
HELP WILL GIVE BRANLIEST! No links!!!
Answer:
11.5
Step-by-step explanation:
[tex]14^{2} - 8^{2} = 132\\\sqrt{132}= 2\sqrt{33} = 11.48912529\\answer-is -11.5[/tex]
Answer:
11.48
Step-by-step explanation:
Pythagoras Therum
8^2 + x^2 = 14^2
64 +×^2 = 196
x^2 = 132
sqrt both sides
11.48
WILL MARK BRAINLIEST
Given: isoceles trapezoid BEAR, Find AQ
Answer:
beleive the anser is 12 try that
Step-by-step explanation:
(Will give branliest if correct)
Mr. Potter is reviewing his 2018 property taxes Use the tax form to complete the statements below.
All I need is the total property tax I don't know how to solve for it.
So my question is how do I find total property tax with the total value of property and total percent rate it just the answer.
So if the total value is 300000
and the percent rate is 1.2 what is the total property tax.
(
Answer:
I think its 3,600... plz let me know if I'm wrong
Step-by-step explanation:
300,000 x 0.012 or %1.2 (they're the same thing) = 3,600
Which event is LEAST LIKELY to occur?
A. Event A
B. Event B
C. Event C
D. Event D
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Find X. Please show steps, thank you.
Answer:
C=10
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
-4
Step-by-step explanation:
please mark brainliest
Answer:
-4
Step-by-step explanation:
So we can start with -2 + 3, (negatives mean -, and positives mean +)
= 1
Then, 1 - 4
= -3
-3 - 1
= -4
hope this helps :)
what's the area? i need it by 7:00 AM EST time
Answer:
approx 506.52
Step-by-step explanation:
Rectangle: 21 x 12 =252
Half circle = 1/2 (3.14)(6^2) = 56.52
Trapezoid: 6 (33 +33) = 198
add all of them together
Answer:
479.52 cm²Step-by-step explanation:
Semi-circle:
A = 1/2πr² = 1/2*3.14*6² = 56.52 cm²Trapezoid:
A = 1/2(a + b)h = 1/2 [(12 + 12) + (12 + 21)] (6) = 171 cm²Rectangle:
A = ab = 12*21 = 252 cm²Area of the shape:
56.52 + 171 + 252 = 479.52 cm²The questions on a multiple choice test have four answer choices.
Which of the following models could you use to simulate the outcome of guessing the correct answers to a 50-question test?
(HINT: Remember to choose a model with the same number of possible outcomes as each test question.)
Group of answer choices
A. flipping a coin 50 times
B. spinning a spinner with 4 equal sections 50 times
C. rolling a 6-sided die 50 times
D. spinning a spinner with 50 equal sections four times
Answer: spinning a spinner with 4 equal sections 50 times
Step-by-step explanation:
The models that one can use to simulate the outcome of guessing the correct answers to a 50-question test will be to spinn a spinner with 4 equal sections 50 times.
Flipping a coin 50 times is wrong since the coin only has two outcomes which are head and tail. Rolling a 6-sided die 50 times is also wrong.
Therefore, the correct option is B.
Peter received a $40 gift card to Starbucks for his birthday. He
spends the same amount every time he goes and has gone 5
times so far. On one of his trips he also got a $3 drink for his
brother. What is the most he could have spent per trip? Choose
the inequality that describes his situation. Let xramount per trip
Answer:
xr ≤ 7
Step-by-step explanation:
He must spend less than or equal to 7$ to account for 5 trips and 3 extra dollars for 1 trip.
Write a system of equations for the word problem and then solve to find the answer.
At least week’s basketball game, Ben’s team scored 3 times as many points as Sam’s
team. Together, both teams scored 80 points in total. How many points did each team score?
Equation 1 __________
Equation 2 __________
Answer:
Sam's team scored 20 points. Ben's team scored 60 points
Step-by-step explanation:
b = 3s
s + b = 80
Substitute
s + 3s = 80
4s = 80
s = 20
Find the area of the cross section that is parallel to the bases.
Group of answer choices
1122
562
842
962
Find Mn to the nearest tenth
Answer:
B. 23.8
Step-by-step explanation:
Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)
c = length of side you are finding
a = length of side a
b = length of side b
y =angle opposite c
80 items were sold, bringing in $6,900 in receipts. Some items were sold at a discount for $75 each and some others were sold at full price for $90 each. How many were sold at discount and how many at full price?
Answer:
50 items were sold for $75
35 items were sold for $90
Step-by-step explanation:
75 x 50 = 3750
90 x 35 = 3150
3750 +3150 = 6,900
find the distance round to the nearest tenth
Answer:
65 units
Step-by-step explanation:
There are 10 counters in a bag: 3 are red, 2 are blue and 5 are green. The contents of the bag are shaken before Maxine randomly chooses one counter from the bag. What is the probability that she doesn't pick a red counter
Answer:
Step-by-step explanation: total number of counters = 10
number of red counters= 3
number of blue counters= 2
number of green counters = 5
p(of getting a red counter) =3/10
p(of not getting a red counter) = 1-3/10= 10-3/10=7/10
A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.
Zoom in if you cannot see!
Don’t answer if you don’t know the answer. Whoever gets the correct answer will get Brainliest! :)
Answer:
Option B, would be the correct answer: 75 labels per minute
Step-by-step explanation:
The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{150}{2}[/tex]
Slope = 75
Hope this helps!
The first 4 terms of a 10-term geometric series are listed below. Which expression represents the sum
of the series?
16
25
8 + 4 + 10 +...+ 210
5
Given:
First 10 term of a geometric series are:
[tex]\dfrac{16}{25}+\dfrac{8}{5}+4+10+...+a_10[/tex]
To find:
The expression that represents the sum of the series.
Solution:
The first term of the given geometric series is:
[tex]a_1=\dfrac{16}{25}[/tex]
The common ratio of the given geometric series is:
[tex]r=\dfrac{a_2}{a_1}[/tex]
[tex]r=\dfrac{\dfrac{8}{5}}{\dfrac{16}{25}}[/tex]
[tex]r=\dfrac{8}{5}\times \dfrac{25}{16}[/tex]
[tex]r=\dfrac{5}{2}[/tex]
The sum of first n terms of a geometric sequence is:
[tex]S_n=\dfrac{a_1(1-r^n}{1-r}[/tex]
Where r is the common ratio.
Putting [tex]a_1=\dfrac{16}{25},r=\dfrac{5}{2},n=10[/tex] in the above formula, we get
[tex]S_{10}=\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex]
Therefore, the correct option is C, i.e., [tex]\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex].
Answer:
the answer is option c or 16/25 ( 1 - ( 5/2 )^10 / 1 - 5/2)
Step-by-step explanation:
Based on the family the graph below belongs to, which equation could represent the graph?
Answer:
its A
Step-by-step explanation:
just took the test
Answer:
The first graph on edge 2021
Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces
Answer:
$0.10 per piece means $0.40 for 1 apple there are 12 in a dozen so multiply it by 12 which would be $4.80 for a dozen multiply again by 3
$14.40 for 3 dozen I'm pretty sure
A polynomial with a degree of 3
Example: x^{3} +7
Answer:
[tex]x^{3}-5x^{2}+2x+8[/tex]
1. Can the following quadratic equation be solved by factoring?
x² - x-3=0
yes
no
Answer: No. This equation can't be solved by factoring
The data in the table represents the value of a savings account at the end of each year for 6 years. The relationship between the increasing years and the increasing value of the account is exponential.
Answer:
1. Constant multiplicative.
2. 1.05.
Step-by-step explanation:
Their savings increase by 1.05x every year.