Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, and 2 pairs of shoes. How many different outfits does Natalie have to choose from?
Answers
Answer:
Shirt A, Skirt A, Shoe A
Shirt A, Skirt A, Shoe B
Shirt A, Skirt B, Shoe A
Shirt A, Skirt B, Shoe B
Shirt A, Skirt C, Shoe A
Shirt A, Skirt C, Shoe B
The number of ways Natalie has to choose outfits for her first day school is 28 ways.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Given that, Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, and 2 pairs of shoes.
Let 7 pairs of pants be P1, P2, P3, P4, P5, P6 and P7.
Let 2 t-shirts be T1 and T2
Let 2 pairs of shoes be S1 and S2
Now,
1) P1, T1, S1
2) P1, T2, S2
3) P2, T1, S1
4) P2, T2, S2
5) P3, T1, S1
6) P3, T2, S2
7) P4, T1, S1
8) P4, T2, S2
9) P5, T1, S1
10) P5, T2, S2
11) P6, T1, S1
12) P6, T2, S2
13) P7, T1, S1
14) P7, T2, S2
15) P1, T1, S2
16) P1, T2, S1
17) P2, T1, S2
18) P2, T2, S1
19) P3, T1, S2
20) P3, T2, S1
21) P4, T1, S2
22) P4, T2, S1
23) P5, T1, S2
24) P5, T2, S1
25) P6, T1, S2
26) P6, T2, S1
27) P7, T1, S2
28) P7, T2, S1
Other way = 7×2×2
= 28 ways
Therefore, the number of ways is 28 ways.
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Related Questions
Evaluate the six trigonometric functions of the angle 0
7
5
sin =
csc =
cos =
sec 0 =
tan A=
cotA=
Answers
Answer:
sin=The sin of an acute angle is defined in the context of a right triangle.
csc= The length of the hypotenuse divided by the length of the side opposite the angle.
cos= The length of the adjacent side divided by the length of the hypotenuse.
sec 0=The ratio of the length of the hypotenuse to the length of the adjacent side is the secant of an angle in a right-angled triangle.
tan A=In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
cotA= In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side.
Step-by-step explanation:
-2x-3y=-7
y+1=x
solve for y and x
Answers
Answer:
x = 2 and y = 1
Step-by-step explanation:
First, solve for y by substituting the second equation as x into the first equation
-2x - 3y = -7
-2(y + 1) - 3y = -7
Simplify and solve for y
-2y - 2 - 3y = -7
-5y - 2 = -7
-5y = -5
y = 1
Solve for x by plugging in 1 into the second equation
y + 1 = x
1 + 1 = x
2 = x
So, the answer is x = 2 and y = 1
Rewrite as an exponential equation.
In7 = y
Answers
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
1 and 3, 2 and 4, 1 and 2, 3 and 4
5 and 7, 6 and 8, 5 and 6, 7 and 8
Step-by-step explanation:
1 & 3, 5 & 7, 2 & 4, 6 & 8
and
1 & 2, 3 & 4, 5 & 6, 7 & 8
Please lmk if you have questions.
3.The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is NOT pearl?
Answers
Answer:
1_2/3
=1/3 or 0.33
Step-by-step explanation:
Probability is not more than 1..
A triangle has two sides that measure 5 cm and 7 cm. Select all of the following that could be the measure of the third side.
a
1 cm
b
4 cm
c
7 cm
d
11 cm
e
13 cm
f
15 cm
Answers
Answer:
4 cm, 7 cm, 11 cm
Step-by-step explanation:
The sum of two shorter sides of a triangle is always greater than the larger side.
1 cm + 5 cm < 7 cm ( can't be the third side )
5 cm + 4 cm > 7 cm ( can be )
5 cm + 7 cm > 7 cm ( can be )
5 cm + 7 cm > 11 cm ( can be )
5 cm + 7 cm < 13 cm ( can't be )
5 cm + 7 cm < 15 cm ( can't be )
. A shipyard makes a container ship that can withstand the total amount of weight W, which is normally distributed with mean of 600 tons and standard deviation of 60 tons. Let us assume that the weight of a single container that will be loaded to the container ship is also normally distributed with mean of 4 tons and standard deviation of 0.4 tons. What is the maximum number of containers that the ship can load and still have at least a 90% chance to not exceed its weight limit
Answers
Answer:
the maximum number of containers that the ship can load is 170
Step-by-step explanation:
Given the data in the question;
W ~ N( 600, 60 )
S ~ N( 4n, 0.4√n )
so
p( W > S ) = 0.90
⇒ P( W - S > 0) = 0.9 ------ let this be equation 1
now, since W and S are independent
Mean( W - S ) = Mean( W ) - Mean( S 0 = 600 - 4n
and
SD( W - S ) = √( var(W) + var(S) ) = √( 60² + 0.4²n)
hence;
W - S ~ N( 600 - 4n, √( 60² + 0.4²n) )
now, from equation one, P( W - S > 0) = 0.9
[tex]P( \frac{(W-S)-Mean(W-S)}{SD(W-S)} > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]
[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]
from z- table
[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = P( z >-1.282)[/tex]
[tex]\frac{4n - 600}{\sqrt{60^2 + 0.4^2n} } = -1.282[/tex] ------------------ let this be equation 2
now, we square both sides of equation 2
[tex]\frac{(4n - 600)^2}{60^2 + 0.4^2n} } = (-1.282)^2[/tex]
[tex]\frac{(4n - 600)(4n-600)}{3600 + 0.16n} } = 1.643524[/tex]
we cross multiply
16n² + 360000 - 4800n = 1.643524( 3600 + 0.16n )
16n² + 360000 - 4800n = 5916.6864 + 0.26296384n
16n² + 360000 - 5916.6864 - 4800n - 0.26296384n = 0
16n² + 354083.3136 - 4800.26296384n = 0
16n² - 4800.26296384n + 354083.3136 = 0
solving the quadratic equation, we know that;
x = -b±√( b² - 4ac ) / 2a
so we substitute
x = [-(-4800.26296384) ±√( (-4800.26296384)² - (4 × 16 × 354083.3136)] / [2×16]
x = [ 4800.26296384 ±√( 23042524.522 - 22661332.0704 ] / 32
x = [ 4800.26296384 ±√(381192.4516) ] / 32
x = [ 4800.26296384 ± 617.4078 ] / 32
Hence;
x = [ 4800.26296384 - 617.4078 ] / 32 or [ 4800.26296384 + 617.4078 ] / 32
x = 131 or 170
Therefore, the maximum number of containers that the ship can load is 170
Find the volume. Round to the tenth place if appropriate. *
7 cm
20 cm
Answers
Solve equation
r/3-4=11
r = 45
r = 35
r = 33
r = 28
Answers
Answer:
r=-11
Step-by-step explanation:
HELP PLS ANSWER THIS CORRECTLY PLEASE YOU'LL GET 50+ BRAINLIEST POINTS AND CROWN BRAINLIEST PLEASE
Answers
Answer:
Susie is correct because the function is y = x²
A circular spinner is divided into 17 sectors of equal area. There are 6 red sectors, 6 blue, 3 yellow, and 2 green. Consider the experiment of spinning the spinner once. Find the probability
that the spinner lands on blue or green.
The probability that the spinner lands on blue or green is
Answers
Answer:
8/17 or 47% or .47
Step-by-step explanation:
8 of them are blue or green and there are 17 total. So 8 out of 17 (8/17) are likely to be spun
The required probability is 8/17 that the spinner lands on blue or green.
What is probability?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.
Given that the circular spinner is split into 17 equal-sized sections. There are six red sectors, six blue sectors, three yellow sectors, and two green sectors.
The total number of outcomes. = 6 + 6 + 3 + 2
So n(S) = 17
Number of favorable outcomes i.e. (blue+green), n(E) = 6 + 2 = 8
Consider the experiment of once spinning the spinner.
The probability of the spinner landing on blue or green will be
⇒ P(E) = n(E)/n(S)
⇒ P(E) = 8/17
Therefore, the required probability is 8/17 that the spinner lands on blue or green.
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pls help :p i’m stuck
Answers
Answer:
x = 7
Step-by-step explanation:
Answer:
x= 1
Step-by-step explanation:
Add four to both sides of the equation:
10x-4+4 = 2x+4+4
Simplify:
10x = 2x+8
Subtract 2x from both sides:
8x = 8
Cancel out terms:
x=
Simplify:
x=1
Use the table to write a linear function that relates y to x .
y=
Answers
Answer:
y= -1/4x
Step-by-step explanation:
B 1. Inscribe a circle in triangle ABC
Answers
Answer:
The circle should appear inside the triangle.
Someone help me please
Answers
Answer:
A
Step-by-step explanation:
The answer is A ,that's how the equation is.
The point (2, 1) is on the line given by which equation below? A. y=x+1 B. y = 2x C y = 1/2x D. Y = -2x
Answers
Answer:
C. y = 1/2x
Step-by-step explanation:
We can check to see which of the equations passes through (2,1) by substituting the point's x and y values into the options, then checking to see if the result is a true statement.
Let's try this with option C, [tex]y = \frac{1}{2} x[/tex]. To substitute the x and y values of (2,1) into the equation, substitute 2 for [tex]x[/tex] and 1 for [tex]y[/tex]. Then, solve:
[tex]y = \frac{1}{2} x\\\\1 = \frac{1}{2} (2)\\1 = 1[/tex]
1 does equal 1, so the result is a true statement. Option C is the answer.
wrong its c or 15.00$
Answers
Answer:
oopssss
Step-by-step explanation:
Suppose Lauren is working two jobs to help pay for college. One job pays more per hour than the other. Since her boss at the higher-paying job wouldn't give her as many hours as she wanted, she picked up the second job to generate more income. With her course load, 20 hours a week of work is all she can manage, but she wants to make as much money as possible in those 20 hours. Her goal is to get twice as many hours a week at the higher-paying job than at the lower-paying one. How many hours should she work at each job
Answers
Answer:
She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job
Step-by-step explanation:
Given
[tex]x = Low\ pay\ job[/tex]
[tex]y = high\ pay\ job[/tex]
From the question, we have that:
She can only work for 20 hours.
This implies that:
[tex]x + y= 20[/tex]
To work 2ce as many hours at the high paying job than the low paying job; implies that:
[tex]y = 2x[/tex]
So, we have:
[tex]x + y= 20[/tex]
[tex]y = 2x[/tex]
Required
Number of hours at each job
Substitute [tex]y = 2x[/tex] in [tex]x + y= 20[/tex]
[tex]x + 2x = 20[/tex]
[tex]3x =20[/tex]
Solve for x
[tex]x = \frac{20}{3}[/tex]
[tex]x = 6.67[/tex]
Substitute [tex]x = \frac{20}{3}[/tex] in [tex]y = 2x[/tex]
[tex]y = 2 * \frac{20}{3}[/tex]
[tex]y = \frac{40}{3}[/tex]
[tex]y = 13.33[/tex]
She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job
Guys can you please help me. If you guys see this guy and tells you to download stuff and gives you link dont trust them there a hacker his name is( Alan890426 )
Answers
Answer: ill take care of him
Step-by-step explanation:
Please help!!!! I’ll give you best answer!!!
Solve the equation by completing the square
10 points
4) v2 + 16v + 35 =-4
A) {-16 + V217, -16 - V217)
B) -3, -13
C) 7+ V71,7 – V71)
D) -8,-10
Answers
Answer:
Hi! The answer to your question is B. {[tex]{-3, -13}[/tex]}
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Please help I’ll give points + brainalist
Answers
2 questions for math
Answers
Answer:
x = -24
a = 11
Step-by-step explanation:
So for the first one:
[tex]-\frac{1}{4} x+6=\frac{2}{3} x+28[/tex]
Multiply both sides of the equation by 12
[tex]-3x+72=8x+336[/tex]
Subtract 8x from both sides
[tex]-11x+72=336[/tex]
Subtract 72 from both sides
[tex]-11x=264[/tex]
Divide both sides by -11
[tex]x=-24[/tex]
And the second one...
[tex]2(a-2)=3(a-5)[/tex]
Distribute the 2 to the (a - 2) and the 3 to (a - 5)
[tex]2a-4=3a-15[/tex]
then add 15 to both sides
[tex]2a+11=3a[/tex]
Subtract 2a from both sides
11 = a
Find all the real zeros of the function
Answers
Answer:
B
Step-by-step explanation:
y = -9x - 1
You need a value that will make y = 0
-9x - 1 = 0 Add 1 to both sides
-9x = 1 Divide by - 9
x = 1/-9
The answer is B
he sum of two numbers is 43 and the difference is 5. What are the numbers ?
Answers
Answer:
24,19
Step-by-step explanation:
24+19=43
24-19=5
A room in the shape of an octagon has a perimeter of 72 feet. What is the length of each side of the room? Let s represent the length in feet of each side of the room. Write and solve an equation for s.
Answers
Answer:
s=9
Step-by-step explanation:
8s=72
Divide 72 and 8
s=9
Step-by-step explanation:
Octagon is regular polygon meaning all sides are epual it is 8sided polygon p=72 = sides =8 each side =72÷8=9feet
An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
Answers
Answer:
it takes 3 hour
Step-by-step explanation:
ypir welcome
Evaluate the radical expression. Express your answer in simplified form. If the expression does not represent a real number, indicate, not a real number.
Answers
Answer:
-10
Step-by-step explanation:
Answer:
- 10
Step-by-step explanation:
- √100
= - 10
( - 10 is a real number )
Combine like terms in order to simplify the
expression below.
15 - 5y - 5 + 3y
Answers
10-2y
help i'll give brainlyest
Answers
what do you need help with T~T
B) Find the value of a^2 + b^2 when a = 3 and b= -2
Answers
Answer:
13
Step-by-step explanation:
a = 3
b = -2
a² + b² = 3² + (-2)²
= 9 + 4
= 13
Answer:
a) 11
b) 13
Step-by-step explanation:
a) 1 + 2(5) = 11
b) 3² + (-2)² = 9 + 4 = 13