The number of unique ways is given by the number of possible
combination having distinct members.
The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.
Reasons:
The given parameters are;
The number of swimmers available = 6 swimmers
The number of swimmers the coach must select = 4 swimmers
Required:
The number of unique ways to arrange 4 of the 6 swimmers.
Solution:
The number of possible combination of swimmers is given as follows;
[tex]_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]
Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways
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Answer:
360
Step-by-step explanation:
6!/(6-4)!
5 divided by 325 what is the strategy to this question and answer
Answer: 65
Step-by-step explanation: divided the 2
Solve for k.
14k+3k–16k=5
k=
Answer:
5Step-by-step explanation:
Solve for k.
14k+3k–16k=5
17k - 16k = 5
k = 5
does 17/10 and 12/5 form a proportion?
Answer:
No
Step-by-step explanation:
17/10 is not proportional to 12/5. Proportional relationships are relationships between two variables where their ratios are equivalent. 17/10 as a ratio is 17:10 and 12/5 as a ratio would be 12:5. A proportional relationship for 12/5 would be 24/10.
Hope this helps :)
No, 17/10 and 12/5 do not form a proportion.
What is a proportion?A proportion is an equation that sets two ratios at the same value.
We have two fractions,
17/10 and 12/5.
That means,
17/10 = 1.7
And 12/5 = 2.4
And 1.7 is not equals to 2.4.
So, the fraction does not show the proportional relationship.
Therefore, the fraction does not show the proportional relationship.
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Use this data set to answer the following question: 5, 10, 12, 4, 6, 11, 13, 5. Remember to show your work.
Calculate the median.
Question 8 options:
Flying against the wind, a jet travels 3780 miles in 6 hours. Flying with the wind, the same jet travels 5950miles in 7 hours. What is the rate of the jet in still air and what is the rate of the wind? 1111 Rate of the jet in still air:
The rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.
The given parameters;
distance traveled against the wind, d₁ = 3780 milestime of motion, t₁ = 6 hoursdistance traveled with wind, d₂ = 5950 milestime of motion, t₂ = 7 hoursLet the rate of the jet in still air = R₁
Let the rate of the wind = R₂
The rate of the jet against the wind:
[tex]R_1 - R_2 = \frac{3780}{6} \\\\R_1 - R_2 = 630[/tex]
The rate of the jet with the wind:
[tex]R_1 + R_2 = \frac{5950}{7} \\\\R_1 + R_2 = 850\\\\[/tex]
The rate of the jet in still air is calculated as follows;
[tex]R_1 = \frac{630 + 850}{2} \\\\R_1 = 740 \ mph[/tex]
The rate of the wind is calculated as follows;
[tex]R_1 - R_2 = 630\\\\R_2 = R_1 - 630\\\\R_2 = 740 - 630 \\\\R_2 = 110 \ mph[/tex]
Thus, the rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.
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Pizza Palace sells cheese pepperoni, sausage and mushroom pizzas. Caleb noticed that for every 10 orders of cheese pizza, there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushrooms pizza. If there were 35 pepperoni pizzas ordered, how many total pizzas were ordered?
Step-by-step explanation:
cheese : pepperoni : sausage : mushroom =
10 : 7 : 5 : 8
so, in total there are 10+7+5+8 = 30 "business pieces".
to get the total number of pizzas, we need to see how many pizzas are sold per "business piece" ?
we get this from the 35 orders of pepperoni pizzas.
these 35 orders represent 7 "business pieces".
that means 1 "business piece" = 35/7 = 5 pizzas.
that means that 30 "business pieces" are 5×30 = 150
so, in total, 150 pizzas were ordered.
what is the measure of angle x?
Answer:
180
Step-by-step explanation:
Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.
4-3/7. Can u pls help me out
Answer:
1/7
Step-by-step explanation:
4-3/7
1/7
Hope This Helps You.
Answer:
3 4/7
Step-by-step explanation:
Regroup 4 as 3 7/7.
Subtract 3 7/7 - 3/7 = 3 4/7
There's your answer!
please mark brainliest!
can somebody tell me the answer to this?
Answer:
∠AFB is adjacent
what is 1 1/2 of 150 and what is 1/2 of 180
Answer:
1 1/2 of 150 is 225 and 1/2 of 180 is 90
Step-by-step explanation:
1 1/2 of 150 basically means 1 1/2 x 150, which equals to 225. 1/2 of 180 means 1/2 x 180 which is 90.
Answer:
1 1/2 of 150 is "225" and
1/2 of 180 is "90"
Step-by-step explanation:
1 1/2 of 150 basically means 1 1/2 x 150, which equals to 225. 1/2 of 180 means 1/2 x 180 which is 90.
Hope this helps :)
Which equation has the solution x = 3?
Select each correct answer.
2x + 4 = 10
9−3x=0
3x + 1 = 9
9x−1=4
x3+5=6
5x−7=1 giving 50 pointss so hurry
Answer:
A and B
Step-by-step explanation:
A: 2x3=6 6+4=10 so correct
B: 9-9=0 so correct
Answer:
2x+4=10
Step-by-step explanation:
2x=10-4=
2x=6
x=6÷2=
3
George eat 3/8 a pizza and 1/4 of pizza
What fraction of pizza has George eaten
Answer: 5/8
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
1/4=2/8
2/8+3/8=5/8
Suppose all counting numbers are arranged in columns as shown below. Under what letter will the number 2019 appear?
Answer: b
Step-by-step explanation:
HELPPP LAST ATTEMPT!!
Answer:
(0,4) is the answer hope it helps
pls help with khan academy
Answer:
c
Step-by-step explanation:
because the rest are just way off
Answer:
The answer is C, bro
Step-by-step explanation:
hope this helped.
Help??? Lma.o sorry I need the answer asap
Answer:
f(5)=38
Step-by-step explanation:
f(5) means x=5, or in this case, a=5. We plug in 5 as A. f(5)=7(5+1)-4. f(5)=7(6)-4.
f(5)=42-4
f(5)=38
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors?
Answer:
A trinomial is an expression that has three terms.
Square trinomial
A square trinomial is simply a perfect square trinomial.
Difference of square binomials
This is easily identified because, the terms of the square binomials are perfect squares.
When cubes are added or subtracted, they can be expressed using the following
plsssssss answerrrrrr
Answer:
Step-by-step explanation:
Angle C and angle with 120 degrees measure are alternate and their measurement is equal so C = 120
angle C and angle B are supplementary and so their sum is equal to 180
B = 180 - 120
B = 60
angle D and angle B are also alternate so their measure is also equal to each other therefore
D = 60
What is the answer to this problem?
Answer:
infinitely many solutions
Step-by-step explanation:
A grocery store has five different packages of bottled water.Which is the best deal available on bottled water at this grocery store?
Answer:
Step-by-step explanation:
First, check the amount of water in each one and the price. Which ever one has the lowest price for more water has the best deal.
:) Hope this helps
Solve |x – 4| + 6 = 17.
A. x = 15 and x = -7
B. x = 15 and x = -15
C. x =-15 and x = -7
D. x = -15 and x = 7
Answer:
A
Step-by-step explanation:
15 and -7
|x-4|=17-6
|x-4|=11
x-4=11
x-4=-11
x=11+4
x=15
x=-11+4
x=-7
HELP ME OUT PLEASE
Use the data to create a scatter plot.
lisa's father gave her $1032 to buy a present. this covered 3/5 of the cost. How many did the present cost?
Answer:
$1720
Step-by-step explanation:
1032 is 3/5 of the cost.
Divide 1032 by 3/5, which is 1720.
Thus, the answer is $1720.
The cost of the present day will be $1,720.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Lisa's father gave her $1032 to buy a present. This covered 3/5 of the cost.
The cost of the present day will be given by the division of the numbers 1032 and 3/5.
⇒ 1032 / (3/5)
⇒ 1032 x 5 / 3
⇒ $1,720
The cost of the present day will be $1,720.
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URGENT, WILL GIVE BRAINLIEST!!
In △ABC, A=27∘, a=27 and c=24. Which of these statements best describes angle C?
C must be acute.
C must be obtuse.
C can be either acute or obtuse.
△ABC cannot be constructed.
Answer:
C must be acute, and ABC cannot be constructed
Step-by-step explanation:
24 degrees is under 90 degrees making angle c an acute angle.
ABC cannot be contructed because a triangle makes up of 180 degrees, and ABC does not make up 180 degrees.
Have a great day friend! :D
Answer:
C must be acute.
Step-by-step explanation:
The smaller the length of the side, the smaller is the angle opposite it, so C must be < 27.
elijan un lugar de su escuela o de su localidad y elaboren un croquis a escala muestren su trabajo a la clase e indiquen que escala utilizaron
Answer:
pls ask the question in english pls i don't understand it
There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?
The sum of two numbers is 48. One numner is 3 times the other. Find the numbers.
Answer:
16 and 3?
Step-by-step explanation:
48÷3=16
hope this helps
Answer:
12 & 36
Step-by-step explanation:
According to the statement:
[tex]x+y=48[/tex]
[tex]x=3y[/tex]
Replace x= 3y:
[tex]3y+y=48[/tex]
[tex]4y=48[/tex]
[tex]y=48/4=12[/tex]
Then:
[tex]x=3y=3(12)=36[/tex]
Hope this helps
What is the value of 1027
A. 100
B. 1,000
C. 10,000
D. 100,000
Answer:
huh? this doesn't even make sense or I'm just tripib
Step-by-step explanation:
-xoxo
(2,-6); m= -1/4
(Write an equation in point-slope form of the line that passes through the given point and has the given slope)
Answer:
y + 6 = -1/4(x - 2)
Step-by-step explanation:
Point slope form: [tex]y - y_{1} = m(x - x_{1} )[/tex]
[tex]y - y_{1} = m(x - x_{1} )[/tex] Substitute slope = -1/4 and point (2, -6)
[tex]y - (-6) =\frac{-1}4} (x - 2)\\[/tex]
y + 6 = -1/4(x - 2)
Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUs as efficiently as possible in a hospital. According to a 2017 large-scale study of elderly ICU patients, the average length of stay in the ICU is 3.4 days (Critical Care Medicine journal article). Assume that this length of stay in the ICU has an exponential distribution. Do not round intermediate calculations.
a. What is the probability that the length of stay in the ICU is one day or less (to 4 decimals)?
b. What is the probability that the length of stay in the ICU is between two and three days (to 4 decimals)?
c. What is the probability that the length of stay in the ICU is more than five days (to 4 decimals)?
Using the exponential distribution, it is found that there is a:
a) 0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.
b) 0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.
c) 0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = e^{-\mu x}[/tex]
In this problem, the mean is of 3.4 days, hence, the decay parameter is:
[tex]\mu = \frac{1}{3.4}[/tex]
Item a:
[tex]P(X \leq 1) = 1 - e^{-\frac{1}{3.4}} = 0.2548[/tex]
0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.
Item b:
[tex]P(X \leq 2) = 1 - e^{-\frac{2}{3.4}} = 0.4447[/tex]
[tex]P(X \leq 3) = 1 - e^{-\frac{3}{3.4}} = 0.5862[/tex]
[tex]P(2 \leq X \leq 3) = 0.5862 - 0.4447 = 0.1415[/tex]
0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.
Item c:
[tex]P(X > 5) = e^{-\frac{5}{3.4}} = 0.2298[/tex]
0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.
A similar problem is given at https://brainly.com/question/17039711