You want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability that a randomly chosen code starts with A?

Answers

Answer 1

there are 5 letters used for the code.

The probability of A being first the number of A’s which can be picked (1) over the total number of letters that can be picked (5).

The probability of A being first is 1/5

1/5 = 0.2

Answer 2

Answer:

Correct answer for plato

Step-by-step explanation:

C. 0.20

Related Questions

Please help me out!! ☮✌

Answers

a linear pair would equal 180 degrees

so 180-28 = 152

Felicity's insurance company pays for 65% of her elbow surgery, after she pays a $500 deductible.
How much will Felicity pay for her elbow surgery if it costs $9400?

A. $3290
B. $3465
C. $3615
D. $3790

Answers

C

9400 – 500(deductible)

The remainder is 8900, and the company pays for 65% of that. That means Felicity pays 35%.

35% of 8900 is 3115. Add on the 500 deductible and she pays 3615 in total.

Its going to be D. $3790
Because you first have to take 9400•0.65= 6110
Then you subtract that from the total amount and the deductible like so:
9400-6110-500=3790
And that is how you come up with D as the answer

solve for x. 3x-r=r(-3+x)

Answers

3x-r=r (-3+x)
3x-r=-3r+xr
3x-r+r=-3r+xr+r
3x=-2r+xr
3x-xr=-2r+xr-xr
3x-xr=-2r
x (3-r)=-2r
x (3-r)/(3-r)=-2r/(3-r)
x=-2r/(3-r)

Which equation illustrates the commutative property of addition?

Answers

the correct answer is A or the first one

yes answer is A.
first one

a + b = b +a
so in this case

12 + 6 + 15 = 12 + 15 + 6

If the parent function is y = 2x, which is the function of the graph?

A. y = 0.5(2)x + 1 − 3

B. y = 0.5(2)x + 1 + 3

C. y = 0.5(2)x − 1 − 3

D. y = 0.5(2)x − 1 + 3

Description

Answers

Answer is C but if its on grad point your answer is 0.5(2)^x

The sum of 2 consecutive numbers is 97. Find the numbers

Answers

For two consecutive numbers :

let the first number is a, and of course the next number to it would be a+1

adding these two numbers: (a) + (a+1) = 97

then solve for a:

a+a+1=97
2a+1=97
2a=96
a=48

so the first number is 48 and the second number is the next one to it (49)

The two numbers are 48 and 49

The cost of 1 movie ticket is $7.50. The cost 2 movie tickets is $15.based on this constant rate of change what is the cost of 4 movie tickets

Answers

The cost of 4 tickets is 30 dollars 4 x 7.50 = 30

You found 6.60 on the ground at school, alpl in nickels, dimes, and quarters. you have twice as many quarters as dimes and 42 coins in all. how many of each type of coin do you have?

Answers

Let the number of nickel coins be n, the number of quarter coins be q and the number of dimes be d.

We know that 1 nickel= $0.05, 1 dime= $0.1 and 1 quarter= $0.25,

We found $6.60 means that : i) 0.05n+0.1d+0.25q=6.60

we have 42 coins in all mean: ii) n+d+q=42

we have twice as many quarters as dimes mean that iii) q=2d

using the last relation we can reduce the number of unknowns by writing all q's in terms of d's as follows:

i) 0.05n+0.1d+0.25q=6.60
ii) n+d+q=42

substitute q with 2d:

i) 0.05n+0.1d+0.25(2d)=6.60
ii) n+d+(2d)=42

i) 0.05n+0.1d+0.5d=6.60
ii) n+d+2d=42

i) 0.05n+0.6d=6.60
ii) n+3d=42

multiply the second equation by -0.2, to eliminate the d's:

i) 0.05n+0.6d=6.60
ii) -0.2n-0.6d=-8.4
---------------------------

i+ii)

-0.2n+0.05n=6.60-8.4
-0.15n=-1.8
n=-1.8/(-0.15)=12

substitute in i):

0.05n+0.6d=6.60
0.05*12+0.6d=6.60
0.6+0.6d=6.60
0.6d=6.0
d=10

finally, from equation n+d+q=42:

12+10+q=42
22+q=42
q=42-22=20

Answer: # nickels=12, # dimes=10, # quarters=20

Determine the relationship between the lines that pass through the given points: line
a.(-3, 5) and (0, 7) line
b.(6, 2) and (9, 4)

Answers

a. (-3,5)(0,7)
slope = (7 - 5) / (0 - (-3) = 2/3

y = mx + b
slope = 2/3
(0,7)...x = 0 and y = 7
sub and find b, the y int
7 = 2/3(0) + b
7 = b....this is ur y int (0,7)
so ur equation for this line is : y = 2/3x + 7

b. (6,2)(9,4)
slope = (4 - 2) / (9 - 6) = 2/3

y = mx + b
slope(m) = 2/3
(6,2)...x = 6 and y = 2
sub and find b, the y int
2 = 2/3(6) + b
2 = 4 + b
2 - 4 = b
-2 = b...this is ur y int (0,-2)
so this equation is : y = 2/3x - 2

so " a " has a slope of 2/3 and a y int of 7 and " b " has a slope of 2/3 and a y int of -2.

ur lines are parallel lines.....parallel lines will have the same slope and different y intercepts <===

The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find the side lengths of the triangle

Answers

Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8

Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.

Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

Final answer:

To find the side lengths of the right triangle, we let the shorter leg be x cm, resulting in the longer leg and hypotenuse being (x + 4) cm and (x + 8) cm, respectively. Using the Pythagorean theorem, we establish the equation x² + (x + 4)² = (x + 8)², then solve for x to determine the side lengths.

Explanation:

The problem involves solving for the lengths of the sides of a right triangle using the Pythagorean theorem. Let the shorter leg of the triangle be x cm. According to the problem statement, the longer leg would then be x + 4 cm, and the hypotenuse would be x + 8 cm. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

Using the theorem we can set up the equation:

x² + (x + 4)² = (x + 8)²

Solving for x will give us the lengths of the sides of the triangle:

Shorter leg: x cmLonger leg: x + 4 cmHypotenuse: x + 8 cm

One side of trapezoid is 10 inches. The side parallel to this is twice as long as this side. The height is half as long as the given side length. Find the area of the trapezoid.

Answers

the formula for area of a trapezoid is: 1/2 (b1+b2) h
b1=10
b2=10·2=20 because it stated the side parallel is twice as long as the side above
h=10/2=5 because the height is half as long as the give side length
area of the trapezoid is: 1/2 (10+20) 5
(5·10)·5
50·5
area of the trapezoid is 250 in²

Show work on simply 2+(3g-4)-(8g+3)

Answers

2 + 3g - 4 -8g - 3

2 - 7 -5g

-5g - 5 is your answer

hope this helps

Find the values of x and y that make these triangles congruent by the HL Theorem

A. X=5, y=6
B. X= -5, y=6
C. X=5, y= -6
D. X=6, y=5

Answers

The correct answer is A. X=5, Y=6. Both triangles are right triangles. Each triangle has corresponding sides that are congruent which makes the triangles congruent. The answer A has the values that make each side of both triangles equal to the other triangle.

The plate is rotated 90° about the origin in the counterclockwise direction. In the image trapezoid, what are the coordinates of the endpoints of the side congruent to side FG?

Answers

[tex] (x, y) --\ \textgreater \ (-y, x) (-2, 5) --\ \textgreater \ (-5, -2)[/tex]

The answer to ur question is (x, y) --\ \ < \ (-y, x) (-2, 5) --\ \ < (-5, -2). Hope this helps you!!

Any nonzero number to the power of zero is equivalent to _____.

Answers

the answer to this question is 0

Triangles are congruent if they have the same ______________.

Answers

Triangles are congruent if they have the same (Shape and Size).

Triangles are congruent if they have the same size and shape.

Which of the following is rational?
A. 3 x pie
B. 2/3 + 9.26
C. root 45 + root 36
D. 14.333... + 5.78765239...

Answers

The correct answer is B
2/3 is a rational number + 9.26 (also rational) = rational answer

Find three consecutive integers with a sum of -36

Answers

The formula for this is:
x + (x +1) + (x+2) = -36
3x + 3 = -36
3x = -39
x = -13

-13,-12,-11

Hope this helps!

Three eggs are required to make two dozen muffins. how many eggs are needed to make 12 dozen muffins using a proportion

Answers

18 eggs are required to make 12 dozen muffins

Amount of eggs needed to make 2 dozen muffins
= 3

Amount of eggs needed to make 1 dozen muffins
=3/2
=1.5

Amount of eggs need to make 12 dozen muffins
=1.5x12
=18

Simplify: (sin θ − cos θ) − (sin θ + cos θ)2 (5 points)

Answers

I'll use x instead of theta

(sin(x) - cos(x)) - (sin(x) + cos(x))^2
(sin(x) - cos(x)) - (sin^2(x) + 2*sin(x)*cos(x) + cos^2(x))
(sin(x) - cos(x)) - (sin^2(x) + cos^2(x) + 2*sin(x)*cos(x))
(sin(x) - cos(x)) - (1 + 2*sin(x)*cos(x))
sin(x) - cos(x) - 1 - 2*sin(x)*cos(x)
- 2*sin(x)*cos(x) - cos(x) + sin(x) - 1

The final answer is choice D

Solve the equation 1-|1/3q-5| = -6

Answers

q=1/36 or q=-1/6, for the question

q=36 hope this helps!!!

the area of the a rectangular painting is 4902 cm squared. if the length of the painting is 86 cm, what is it’s width?

Answers

the width of the painting is 57 cm

Study the products shown. Is there a pattern?

(x + 3)2 = x2 + 6x + 9

(x + 4)2 = x2 + 8x + 16

(x + 5)2 = x2 + 10x + 25

(x + 6)2 = x2 + 12x + 36

Each product is in the form ax2 + bx + c.

Which of the following describes the relationship between b and c?

c is 1.5 times that of b.

c is double b.

c is the square of half of b.

c is the square of b.

Answers

c is the square of half of b.

This is evident in all products,

(6/2)² = 3²
= 9
(8/2)² = 4²
= 16
(10/2)² = 5²
= 25
(12/2)² = 6²
= 36
(b/2)² = c

Answer:

The correct option is 3. c is the square of half of b.

Step-by-step explanation:

The given equations are

[tex](x+3)^2=x^2+6x+9[/tex]

[tex](x+4)^2=x^2+8x+16[/tex]

[tex](x+5)^2=x^2+10x+25[/tex]

[tex](x+6)^2=x^2+12x+36[/tex]

These are the perfect square. According to this pattern,

[tex](x+y)^2=x^2+2xy+y^2[/tex] .... (1)

Each product is in the form

[tex](x+y)^2=ax^2+bx+c[/tex] .... (2)

From (1) and (2), we get

[tex]b=2y[/tex]

[tex]c=y^2[/tex]

[tex]c=(\frac{b}{2})^2[/tex] [tex][\because b=2y][/tex]

It means c is the square of half of b.

Therefore the correct option is 3.

A motor racing circuit has the length of 5 5/6 milesa straight section of the circuit has the length 1 1/4 mileswhat fraction of the circuit is the straight section?

Answers

The straight section is 3/14 of the total circuit. This is mostly a problem of adjusting fractions to have common denominators. The fraction of the total circuit is ( length of straight section ) / ( length of total racing circuit ) = ( 1 1/4 ) / ( 5 5/6 ) first, convert the integer parts to a fractions with the same denominator as the fractional part: = ( (1x4)/4 + 1/4 ) / ( (5x6 / 6) + 5/6 ) combine the fractions to make a single fraction in numerator & denominator: = ( 4/4 + 1/4 ) / ( 30/6 + 5/6 ) = ( 5/4) / ( 35/6 ) the division by 35/6 can be done by instead multiplying by the inverse of 35/6: = 5/4 x 6/35 which is done by multiplying the numerators and denominators, and then simplifying by factoring out common divisors from top and bottom: = ( 5 x 6 ) / ( 4 x 35 ) = 30 /140 = 6 / 28 = 3/14

Answer:

3/14

Step-by-step explanation:

Sydney read 50 pages and 40 minutes she reads at a constant rate how many pages can Sydney read per minute

Answers

The rate at which Sydney can read the pages of a certain book, article, or whatsoever write-up is given to be 50 pages per 40 minutes. This can be better expressed as,
50 pages/40 minutes
The number of pages that she can read each minute is calculated by dividing both the numerator and the denominator of the ratio by 40, giving us,
(50/40) / (40 /40)
The new ratio is now 1.25:1

ANSWER: 1.25 pages per minute

Sydney can read 5/4 or 1.25 pages in one minute

Data;

number of pages = 50time taken = 40 minuterate = ?

What is Rate

This can be defined as the measure of one unit against another unit.

If it take Sydney 40 minutes to read 50 pages, let's calculate how many pages she will read in one minute to determine her rate.

[tex]40 pages = 50 minutes\\x pages = 1 minute[/tex]

Let's cross multiply both sides and solve for x

[tex]50 pages = 40 minute\\x pages = 1 minute\\x = \frac{50*1}{40}\\x = 1.25 page[/tex]

From the calculations above, Sydney can read 5/4 or 1.25 pages in one minute.

Learn more on rate here;

https://brainly.com/question/8728504

Find a equation for the line, in point-slope form, that contains (5,1) and is perpendicular to 6x − 3y = 2.

Answers

hello :
let the slope : a and ; b the slope of the line : 6x - 3y = 2
the line that is perpendicular to 6x-3y=2 so : a×b = - 1
but :
6x - 3y = 2... y = 2x-2/3 when : b = 2
in point - form form of the equation of the line that is perpendicular
to 6x-3y=2 is : y = (-1/2)x +c
contains (5,1) : 1 = (-1/2)(5) +c
c = 7/2
an equation is : y= (-1/2)x +7/2

PLEASE HURRY!! 30 POINTS

Simplify
73+3(23−13)2

Answers

if exponent 2

73+3(23−13)^2
= 73 + 3(10)^2
= 73 + 3(100)
= 73 + 300
= 373

if not exponent 2, but multiply 2 then

73+3(23−13) 2
= 73 + 3(10)2
= 73 + 3(60)
= 73 + 180
= 253

Answer:

1976

Step-by-step explanation:

Based on this excerpt, we can conclude that autism

Answers

I'm guessing you want a definition of autism if so "a mental condition, present from early childhood, characterized by difficulty in communicating and forming relationships with other people and in using language and abstract concepts."
Hope this helps. (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Which expression is equivalent to 32⋅32⋅32⋅32 ? (Also All The 32s Are Fractions, The Lines Just Wont Come Up.)

Answers

Answer:

If this is 1/32 for all of them the answer would be (1/32)^4 or (1/32) to the 4th power. if this is 3/2 it would be (3/2)^4 or (3/2) to the 4th power.

Step-by-step explanation:

If this is 1/32 for all of them the answer would be (1/32)^4 or (1/32) to the 4th power. if this is 3/2 it would be (3/2)^4 or (3/2) to the 4th power. I hope this helps : )

What is the reciprocal of 6 3/7?

Answers

I believe your answer is going to be -6 7/3. Reciprocals are the opposites of a number, so I switched the sign on the 6 and made it -. When dealing with fractions, the reciprocal is essentially just flipping the numerator and denominator, which is how I got 7/3.

I hope I helped. Best of luck!

45/7 is the correct answer

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