Answer:
15% chance
Step-by-step explanation:
The required probability is 0.0166 that you will dress all in a brown shirt, pants, socks, and shoes.
How to find probability?The probability that you will dress all in brown is the product of the probability of selecting each brown item.
There is only one choice of brown shirt out of a total of 5 shirt choices, so the probability of selecting a brown shirt is 1/5.
Similarly, there is only one choice of brown pants out of a total of 3 pant choices, so the probability of selecting brown pants is 1/3.
There is also only one choice of brown socks out of a total of 4 sock choices, so the probability of selecting brown socks is 1/4.
Finally, there is also only one choice of brown shoes out of a total of 3 shoe choices, so the probability of selecting brown shoes is 1/3.
To find the overall probability of dressing all in brown, you need to multiply these probabilities together: (1/5) × (1/3) × (1/4) × (1/3) = 1/60.
This means the probability of dressing all in brown is approximately 0.0166, or about 1.7%.
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Examples of long division?
A parachutist's speed during a free fall reaches 135 miles per hour. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that I mile is equal to 5280 feet. Do not round your answers.
Answer:
198 ft/s speed
99 ft distance
Step-by-step explanation:
Answer:
7.33333ft
Step-by-step explanation:
Plz help this one is the last one of the day plz help
Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.
Answer:
I think the answer is 9/2
Find the locus of a point such that the sum of its distance from the point ( 0 , 2 ) and ( 0 , -2 ) is 6.
~Thanks in advance !
Answer:
[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]
Step-by-step explanation:
We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.
First, we will need the distance formula, given by:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let the point on the locus be P(x, y).
So, the distance from P to (0, 2) will be:
[tex]\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}[/tex]
And, the distance from P to (0, -2) will be:
[tex]\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}[/tex]
So sum of the two distances must be 6. Therefore:
[tex]d_1+d_2=6[/tex]
Now, by substitution:
[tex](\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6[/tex]
Simplify. We can subtract the second term from the left:
[tex]\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}[/tex]
Square both sides:
[tex](x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)[/tex]
We can cancel the x² terms and continue squaring:
[tex]y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4[/tex]
We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:
[tex]-8y=36-12\sqrt{x^2+(y+2)^2}[/tex]
We can divide both sides by -4:
[tex]2y=-9+3\sqrt{x^2+(y+2)^2}[/tex]
Adding 9 to both sides yields:
[tex]2y+9=3\sqrt{x^2+(y+2)^2}[/tex]
And, we will square both sides one final time.
[tex]4y^2+36y+81=9(x^2+(y^2+4y+4))[/tex]
Distribute:
[tex]4y^2+36y+81=9x^2+9y^2+36y+36[/tex]
The 36y will cancel. So:
[tex]4y^2+81=9x^2+9y^2+36[/tex]
Subtracting 4y² and 36 from both sides yields:
[tex]9x^2+5y^2=45[/tex]
And dividing both sides by 45 produces:
[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]
Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.
Work out the percentage change to 2 decimal places when a price of £110 is
decreased to £98.
Answer:
10.91% decrease
Step-by-step explanation:
98/110 x 100 = 89.090909
100 - 89.0909 = 10.909090 to 2dp is 10.91%
Given right triangle XYZ with altitude WZ, let WY = 10 cm and XY = 13 cm. Find the
length of WZ.
A.5.4
B.11.4
C.7.3
D.3
Can someone help please
Answer:
B
Step-by-step explanation:
Find the surface area of the cuboid shown below
Answer:
Surface area of cuboid = 352 cm
Step-by-step explanation:
Given that:
Height of cuboid = 8 cm
Length of cuboid = 12 cm
Width of cuboid = 4 cm
Surface area = 2lw + 2lh + 2hw
Putting all the values;
Surface area = 2*12*4 + 2*12*8 + 2*8*4
Surface area = 96 + 192 + 64
Surface area = 352 cm
Hence,
Surface area of cuboid = 352 cm
Stella wnats to buy an atlas that costs 510, a novel that costs $8, and a comc that costs $6. She saved 516 from her pocket money. How much
more money does she need to save? What equation is correct?
Answer:
where are the equations
Step-by-step explanation:
m is how much more she needs to save
510+8+6=516+m
m=8
Which graph represents the function f(x)=-|x|-2?
Answer:
ind the absolute value vertex. In this case, the vertex for y=−|x|−2 is (0,−2).
(0,−2)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)
Set-Builder Notation: {x|x ∈ R}
For each x value, there is one y value. Select few x values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.
x y
−2 −4
−1 −3
0 −2
1 −3
2 −4
Step-by-step explanation:
Answer:
The answer is C.
I hope this helps you!
Last Friday Kali had $22.62. Over the weekend she received some money for cleaning the attic. She now has $33.99. How much money did she receive?
Solve the system of equations using elimination, or write “no solutions” or “infinite solutions” where applicable
4x-y = 7
Answer:
no solutions
Step-by-step explanation:
i guess im
Helppppp please. I am stumped..
Answer:
D
Step-by-step explanation:
w = width
length = w + 0.6
A = l · w
A = w (w + 0.6)
A = w² +.6w
Answer:
D
Step-by-step explanation:
w = width
l = length = w + 0.6
Area = ( l ) * ( w )
Area = ( w + 0.6 ) ( w )
Area = w^2 + 0.6w
x-3y=7
2х-6у=12
Solve the following systems
Answer:
Step-by-step explanation:
this system doesnt have any solutions
if you multiply the first equation by 2 you will get
2x-6y=14
second equation is
2x-6y=12
the result will -12=14
no solutions
9, 3, 1, 7, 1, 44
Mean ??
Mode ??
Median ??
Answer:
Step-by-step explanation:
mean:[tex]\frac{65}{6}[/tex]
mode:1
median:5
Answer:
Mean: 10.83
Mode: 1
Median: 5
Step-by-step explanation:
I did mean as a decimal but you might have to change that if your teacher doesn't prefer it as decimals
Which angles are adjacent to each other?
a) Angle 12 and Angle 7
b) Angle 6 and Angle 9
c) Angle 12 and 9
d) Angle 5 and Angle 11
Answer:
(c). Angle 12 and 9
Step-by-step explanation:
The blue dot is at what value on the number line?
Write each percent as a fraction in simplest form.
12%
the measure of the angles in a heptagon measure 95 107 132 138 145 and 158 what is the measure of the 7th angle
Answer:
ANSWER:123
Step-by-step its very simple its puttin x+11 is how u get ur answer by adding the numbers close to that one angle
The measure of the seventh angle in the heptagon is 125 degrees.
What is Polygon?A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
We are given the measures of six angles in the heptagon, which are:
95, 107, 132, 138, 145, and 158 degrees
Sum of angles in Heptagon is 900 degrees.
To find the measure of the seventh angle, we can subtract the sum of the six known angles from the sum of all the angles in the heptagon:
Measure of the seventh angle = Sum of angles - Sum of known angles
Measure of the seventh angle = 900 degrees - (95 + 107 + 132 + 138 + 145 + 158) degrees
Measure of the seventh angle = 900 degrees - 775 degrees
Measure of the seventh angle = 125 degrees
Therefore, the measure of the seventh angle in the heptagon is 125 degrees.
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which expression are equivalent to this exponential expression
Answer:To create an equivalent expression, you simply need to move the base and exponent to the other side of the fraction line and change the exponent to positive: 1/(24)
Step-by-step explanation:
The Furry Friends Hotel, a kennel in Sparrowtown, needs to bring in at least $1,100 per day to cover its operating costs. The kennel charges $26 per day to house a large dog and $23
per day to house a small dog.
write an inequality to represent the situation
Answer:
23x >= 1100
Step-by-step explanation:
Part 1
Washington, DC, was warmer in February (4.3°F)than in December (44°F). Write an inequality for this relationship.
Answer:
Step-by-step explanation:
4.3 °F > 4 1/4 °F
Which inequality represents this situation? The number of students, s, who ride in a bus is less than 30. A. S < 30 B. S > 30 C. S ≥ 30 D. S ≤ 30
Answer:
A.s<30
Step-by-step explanation:
We are given that
Number of students who ride in a bus=s
We have to find the inequality which represents the given situation.
According to question
s<30
A.s<30
It is true.
B.s>30
It is false because s is less than 30
C.[tex]s\geq 30[/tex]
It is false because s<30
D.[tex]s\leq 30[/tex]
It is false because s<30
Option A is true.
Seth is two-thirds as tall as his father. If Seth is 54 inches tall, how tall is his father?
Answer:
81 inches tall
pls mark me brainliest
What is the price of a $500 tv after a 20% discount?
What is the value of 20+6•5/-2
Answer:
The answer is 25
Step-by-step explanation:
6•5=30
30+20=50
50/-2=25
if 10% of a group of children are girls, what is the ratio of girls to boys
Answer:
9 boys to 1 girl
Step-by-step explanation:
A store purchases baseball hats from two different manufacturers in 3 different colors, summarized
below. One hat is chosen at random. Give your answer as a decimal out to at least 4 places.
Black Blue Red Total
Manufacturer A 23 21 29 73
Manufacturer B 27 17 10 54
Total 50 38 39 127
х
a) Find the probability that the hat was was Black or was from Manufacturer A. 0.3150
O 0.78740157480315
b) Find P(Red).
c) Find P(Manufacturer B and Red),
d) Find P(Manufacturer B or Red).
Answer:
See below
Step-by-step explanation:
a)
P(A or Black) = (73 + 27)/127 = 100/127 = 0.7874015748
b)
P(Red) = red/total = 39/127 = 0.30708661417
c)
P(Manufacturer B and Red) = (B and red)/total = 10/ 127 = 0.0787401575
d)
P(Manufacturer B or Red) = (B or red)/total = (54 + 29)/127 = 0.65354330708
Find the angle of this sector.
6 cm
NEED ASAP
5 cm
Answer:
x ≈ 68.8°
Step-by-step explanation:
The length of the arc of a sector is calculated as
arc = circumference × fraction of circle , that is
6 = 2πr × [tex]\frac{x}{360}[/tex] = 2π × 5 × [tex]\frac{x}{360}[/tex] = 10π × [tex]\frac{x}{360}[/tex] ( multiply both sides by 360 )
2160 = 10πx ( divide both sides by 10π )
68.7549... = x , that is
x ≈ 68.8° ( to 1 dec. place )
