Sara goes shopping with $100 at the mall and she used th
calculate the amount of change she should receive. How
the end of the day?
100 - (12 + 17 + 7 + 2(4) + 3(5) + 4)
$37
$0
$42
$21

The exact probability that both marbles drawn will be red is 4/25.

Given that:

Number of red marbles in the bag, R = 8

Number of blue marbles in the bag, B = 7

Number of green marbles in the bag, G = 5

The total number of marbles in the bag is:

T = 8 + 7 + 5

   = 20

The probability of drawing a colored marble is the number of marbles of that color by the total number of marbles.

So, P(R) = 8/20, P(B) = 7/20 and P(G) = 5/20

If two marbles are drawn out of the bag, the probability that both marbles are red is:

P = P(R) P(R)

   = (8/20)(8/20)

   = (2/5)(2/5)

   = 4/25

Hence, the probability s 4/25.

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Final answer:

The exact probability of drawing two red marbles from the bag without replacement is the product of the individual probabilities, calculated as (2/5) × (7/19).

Explanation:

To find the probability that both marbles drawn from a bag will be red, given the bag contains 8 red marbles, 7 blue marbles, and 5 green marbles, we need to calculate the probability of drawing one red marble and then another red marble without replacement.

The total number of marbles in the bag is 8 red + 7 blue + 5 green = 20 marbles. The probability of drawing the first red marble is 8/20, which simplifies to 2/5. After drawing one red marble, there are now 7 red marbles left and the total drops to 19 marbles. The probability of drawing a second red marble is now 7/19.

To find the probability of both events happening, we multiply the probabilities of each event: (2/5) × (7/19). Therefore, the exact probability of drawing two red marbles in succession without replacement is (2/5) × (7/19).

Answer:

If you meant [80 + (8*4) ]/2,  then  [80 + (8*4) ]/2=56

or if you meant 80 +  [ 8*4 /  2], then 80 +  [ 8*4 /  2] = 96

Step-by-step explanation:

Evalute the expression. 80 + (8x4) divided by 2

so do you mean

the whole expression 80 + (8x4)   is  over  2 ?

If so then:

evaluate  8x4  =  8 * 4 = 32.

so   we have 80 + (8x4)   is  over  2  =  (80 + 32)/2 = 112/2 = 56

If you meant  80 +  [ 8*4 /  2]

then  80 +  [ 8*4 /  2] = 80 + 8*2 = 80 + 16 = 96

Answer:

$17.25

Step-by-step explanation:

First, we know that $11.21 is 65% of the original price, so divide 11.21 by 65 to find 1% of the original price

Then just multply your result of .17246 by 100 to get 17.246, which rounded to 17.25

The normal undiscounted price of the book is $17.24.

To find the normal undiscounted price of the book, we need to calculate the original price before the discount. Let's assume the original price of the book is 'x'. After a 35% discount, the book costs $11.21. We can set up the equation:

x - 0.35x = 11.21

Simplifying the equation, we get:

0.65x = 11.21

Dividing both sides by 0.65, we find:

x = 11.21 / 0.65

Using a calculator, we get:

x ≈ $17.24

Therefore, the normal undiscounted price of the book is $17.24.

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Answer:

Reflection in the x-axis

Step-by-step explanation:

If the point (x, y) of the shape is rotated 180° about the origin, it will be transformed into the point (-x, -y).

If the point (-x, -y) is reflected in the Y-axis, it will be transformed into the point (x, -y). This transformation is equivalent to the reflection of (x, y) in the x-axis.

Answer:

32.0054

Step-by-step explanation:

i think

The angle of depression is approximately 32.01 degrees.

To find the angle of depression, we can use the concept of trigonometry. Specifically, we use the tangent function, which relates the height of the lighthouse to the distance from the lighthouse to Jimmy's boat.

Steps to solve:

Therefore, the angle of depression from the lighthouse to the fishing boat is about 32.01 degrees.

Answer:

V=324 pi inches cubed

Step-by-step explanation:

The formula for the volume of a cylinder is πr²h

π(6)²(9)

π(324)

Answer:

c : 324 pi in cubed. on edge 2020

Step-by-step explanation:

There is no question asked, and the statement is incomplete, but this describes Series and Sequence. They are usually arithmetic or geometric progressions. A set of numbers are written to follow a particular pattern, when the pattern is clear, one can find any number of the sequence or series.

For example, consider the sequence below (Arithmetic Progression)

2, 4, 6, 8, ...

This sequence has a particular pattern.

The first term of the sequence is

a = 2

The common difference d, which is the difference between any two consecutive terms is

d = 2

The nth term, which is the formula that defines every single term of the sequence is given as

Tn = a + (n - 1)d

Check

T1 = a = 2

T2 = 2 + 2 = 4

T3 = 2 + 2(2) = 6

T4 = 2 + 2(3) = 8

T20 = 2 + 2(19) = 40

And so on.

Geometric progression

2, 4, 8, 16, 32, etc

First term, a = 2

Common ratio r, is the division of a particular number by the number preceding it.

r = 4/2 = 8/4 = 16/8 = 32/16 = 2

The nth term is given as

Sn = ar^(n-1)

S1 = a = 2

S2 = 2×2 = 4

S3 = 2×2^(2) = 8

S4 = 2×2^(3) = 16

S5 = 2×2^(4) = 32

S20 = 2×2^(19) = 1048576

And so on.

Answer:it’s rule

Step-by-step explanation:

I got it right on usatestprep

Answer:

1

Step-by-step explanation:

whenever something is to the power of 0, it equals 1

Answer:

move it 4 places to the left

Step-by-step explanation:

10 to 4th power is basically 10000 so 948.921 divided by 10000 so its obvious it will not move to the right, making the number bigger.

Answer:4

Step-by-step explanation:

Answer:

He is definitely correct.

Step-by-step explanation:

1 + 1 = 2 is a very easy equation and is the simplest equation to do.

1. Yes, the x-intercept is 3 1/2

2. Yes, the y-intercept is -7

3. No, the slope is 2

6x -3y = 21

-3y = -6x + 21

y = 2x - 7

Answer:

V = (1/2) mile per (5/10) hour, multiply both mile and hour by 2, => V = 1 mile per 1 hour (1 mile/hour)

Hope this helps!

:)

Answer:

1

Step-by-step explanation:

Answer:D. 80

Step-by-step explanation:

all you do is add 40, 14 and 26 from the graph

Answer:

A school paid $31.25 for each calculator.

If the school spent $500 on calculators, the number of purchased calculators:

N = 500/31.25 = 16

Hope this helps!

:)

Answer:

Divide 500 by 31.25$ which equals to 16

Answer:

cccccccc

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

307.

Step-by-step explanation:

Arithmetic sequence with first term a1 = -2 and common difference d = 1 - -2 = 3

an = a1 + d( n - 1), so

a104 = -2 + 3(104 - 1)

= -2 + 309

= 307.

Answer:

x≈ 3.2056

Step-by-step explanation:

Set both sides by log.  Then, solve for x.

1. 14^(x + 1) = 36

(x + 1)log(14) = log(36)

x + 1 = log(36)/log(14) . . . Divide both sides by log(14)

x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.

x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.

Note that the second problem is similar  to the first.

2. 12^(y - 2) = 20

(y - 2)log(12) = log(20)

y - 2 = log(20)/log(12)

y = log(20)/log(12) + 2

y ≈ 3.2056

Answer:

X=2.5

Step-by-step explanation:

14x +1 =36

14x + 1 =36

      - 1 = 36

14x = 35

14x / 2 = 35 / 2

x = 2.5

Answer:

is f^8

Step-by-step explanation:

Answer:

p - 6  = -14

p = -8

If someone confuses the order,  p might be 20,  But here I am going to choose p= -8

Step-by-step explanation:

The difference between a number p

and 6 is −14.

The difference between a number p and 6  =  -14

I replace "is" with an equal sign

p - 6  = -14

so

p = 6 - 14

p = -8

it can be confused as  6 - p = -14,    p = 20

Answer:

The difference between a number p

and 6 is −14.

The difference between a number p and 6  =  -14

I replace "is" with an equal sign

p - 6  = -14

so

p = 6 - 14

p = -8

it can be confused as  6 - p = -14,    p = 20

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

To get your answer, you need to multiply 1.5 and 6.

1.5 x 6 = 9

Then you multiply 4 and 6.

4 x 6 = 24

Which is your final answer.

Answer:

-5 3, -5 6

Step-by-step explanation:

just did it

Answer:

1st row: [-5  3]      2nd row: [-5  6]

Step-by-step explanation:

Edge 2020

Answer:

c. 4.7

Step-by-step explanation:

first, you find the mean of data set:

83 + 85 + 82 + 93 + 83 + 84 + 95 + 87 + 86 + 94 = 872/10 = 87.2

then, you take each number and subtract the mean and square it:

(87.2 - 83)² = (4.2)² = 17.64

(87.2 - 85)² = (2.2)² = 4.84

(87.2 - 82)² = (5.2)² = 27.04

(93 - 87.2)² = (5.8)² = 33.64

(87.2 - 83)² = (4.2)² = 17.64

(87.2 - 84)² = (3.2)² = 10.24

(95 - 87.2)² = (7.8)² = 60.84

(87.2 - 87)² = (0.2)² = 0.04

(87.2 - 86)² = (1.2)² = 1.44

(94 - 87.2)² = (6.8)² = 46.24

now, find the mean of the squared numbers:

17.64 + 4.84 + 27.04 + 33.64 + 17.64 + 10.24 + 60.84 + 0.04 + 1.44 + 46.24 = 219.6/10 = 21.96

then, take the square root of the number you just got:

√21.96 = 4.68

and last but not least, round to the nearest tenth: 4.7

Answer:

5.5 is the answer, I just took the test

Answer: 75

Step-by-step explanation:

Add the three factors and divide by three.

Answer:

602.88 in ^ 3

Step-by-step explanation:

To calculate the volume of a cylinder, is the multiplication of the base area by the height the formula is as follows:

Vc = pi * (r ^ 2) * h

we have the necessary data, the radius equals 4 inches and the height equals 12 inches, replacing:

Vc = 3.14 * (4 ^ 2) * 12

Vc = 602.88 in ^ 3

that is, the volume of the oblique cylinder is 602.88 cubic inches

Answer:

The volume is 602.9in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder

To find the volume of the oblique cylinder we use the formula for the volume of a cylinder

V= πr²h

Given data

Radius r = 4in

Height h= 12in

Substituting our given data we have V= πr²h

V=3.14*(4)²*12

V= 3.14*16*12

V= 602.88in³

To the nearest tenth

V= 602.9in³

The 4th term in the sequence is -17.

To find the 4th term in the sequence defined by the recursive formula [tex]\(a(n) = a(n-1) - 5\)[/tex] with the initial condition [tex]\(a(1) = -2\)[/tex], you can use the recursive formula to compute each term. Let's find the first few terms:

1. [tex]\(a(1) = -2\)[/tex] (given)

2. [tex]\(a(2) = a(1) - 5 = -2 - 5 = -7\)[/tex] (using the recursive formula)

3. [tex]\(a(3) = a(2) - 5 = -7 - 5 = -12\)[/tex] (using the recursive formula)

4. [tex]\(a(4) = a(3) - 5 = -12 - 5 = -17\)[/tex] (using the recursive formula)

The recursive formula tells us how to calculate each term in the sequence based on the previous term. Starting with \(a(1)\), we use the formula to find [tex]\(a(2)\)[/tex], then use [tex]\(a(2)\) to find \(a(3)\)[/tex], and so on.

So, the 4th term [tex](\(a(4)\))[/tex] is found by taking the previous term [tex](\(a(3)\))[/tex], which is -12, and subtracting 5.

Complete the question:

a(1) = -2;

a(n) = a(n − 1) – 5

Find the 4th term in the sequence.

Final answer:

The 4th term in the sequence defined by a(1) = -2 and a(n) = a(n − 1) − 5 is -17, which is found by successively subtracting 5 from the previous term.

Explanation:

To find the 4th term in a sequence where a(1) = -2 and a(n) = a(n − 1) − 5, we will use the recurrence relation to determine each subsequent term:

Therefore, the 4th term in the sequence is -17.

Answer:

6

Step-by-step explanation:

1 pint of tea will produce 2 half pints

So since there are 3 pints of tea it will produce 6 half pints of tea

Answer:

The answer is 7.3

Step-by-step explanation: