1. Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P(A ∩ B)?

Using the Fundamental Counting Theorem, it is found that Samantha has 36 different outfits to choose from.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Thus, the total number of outfits is given by:

N = 2 x 2 x 9 = 36.

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Answer:

E2020

Step-by-step explanation:

Answer:

d, supplementary, bc, addition

Step-by-step explanation:

For a $1000 face value purchased at a discount price of $925, if it pays 6% fixed interest for the duration of the bond is the yield on a corporate bond mathematically given as

Yield = 6.5%

Generally, the equation for the interest paid is mathematically given as

Interest paid = value of bond x Interest rate

Interest paid = 1000 * 6%

Interest paid = 60

Therefore

Yield = Interest paid / Price paid

Yield = (60 / 925)x 100

Yield = 6.5%

In conclusion, the yield on a corporate bond is
Yield = 6.5%

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Answer:

[tex]g = \frac{b}{2} + 2 + h[/tex]

Step-by-step explanation:

[tex]2(g - h) = b + 4 \\g - h = \frac{b}{2} + \frac{4}{2}\\g = \frac{b}{2} + 2 + h[/tex]

Answer:

3(5+x)

Step-by-step explanation:

3(5 + x)

Answer:

See below ~

Step-by-step explanation:

Taking common factors

Factorize both the terms.

The common factor is 3.

Now, group them together and solve.

Answer:

160

Step-by-step explanation:

40 + 40 + 40 X 2=160

This is the answer

Answer:

Yes!!

Step-by-step explanation:

It is because -4 is smaller than 3. All negative numbers are smaller than positive ones. :)

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Answer:(6, -4)

Step-by-step explanation: That’s where they meet at point B

Answer:

Answer:(6,-4)

Step-by-step explanation:

they meet at point B

Answer:

The answer is 3

Step-by-step explanation:

You have to subtract 120-45 and that gets you to 75 Then divide 75 by 15 and that gives you 3. So the answer is 3

Answer:

15n + 45 ≤ 120

n ≤ 5

She can buy up to 5 balloons.

Step-by-step explanation:

Fixed amount: $45

Amount per balloon: $15

Let n = number of balloons

Total expense: maximum of $120, which means less than or wequal to $120

15n + 45 ≤ 120

15n ≤ 75

n ≤ 5

She can buy up to 5 balloons.

Answer:

In order - Not statistical, statistical, statistical, statistical, statistical, statistical

Step-by-step explanation:

A statistical question is one which has answers based on the gathering of data (possibly multiple answers).

A non statistical question is one which requires no data gathering, and has only one answer.

The required equation is y = 10000(1.0.25)^2x. The value of Christina’s investment after 20 years is $30,773.14

Compound interest

The interest accrued on a sum of money is known as interest. The formula for calculating the compound interest is expressed as:

y = y0(1+r/n)^nx

where

x is the time taken

r is the rate in decimal

n is the compounding time

Given the following

x = 20 years

n  2(semi annually)

r  = 5.7% = 0.057

Substitute

y = 10000(1+0.057/2)^2(20)
y = 10,000(1 + 0.0285)^40

y = 10000(1.0285)^40
y = 30,773.14

Hence the value of Christina’s investment after 20 years is $30,773.14

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Step-by-step explanation:

y = x - 4

Let's look at this a different way.

Y will be 4 less than x, so if x was 5, y would be 1

(x, y)

0, -4

1, -3

2, -2

3, -1

4, 0

5, 1

(If more points are needed, just continue where I left off.)

Answer:

250g tin

Step-by-step explanation:

250g tin is 8.48g per R

750g tin is 10.77g per R

Answer:

3360 ways

Step-by-step explanation:

ABCDEFGH-- there are 8! ways to organize these letters

since the I is repeated 3 times and the L is repeated 2 times we have to divide by (3!*2!)

[tex]\frac{8!}{2!3!}[/tex]=3360

3360

Answer:

7

Step-by-step explanation:

Since the two L’s must be consecutive, we consider them to be a single letter LL. Then the word ILLINOIS has n = 7 letters: 3 I’s, 1 LL, 1 N, 1 O and 1 S. Hence the numbers of ways to permute letters of the word ILLINOIS if the two L’s must be consecutive is: 7!

Answer:

C.  0.8

Step-by-step explanation:

Write 7 as 7.00:

[tex]\begin{array}{ c c c c }& 0. & 7 & 7\\\cline{2-4} 9\:)&7.&0&0 \\-& 0 & \downarrow & \downarrow\\\cline{2-4} & 7 & 0 & \downarrow \\- & 6 & 3 & \downarrow\\\cline{2-4} & & 7 & 0\\& - & 6 & 3\\\cline{2-4} & & & 7\\\end{array}[/tex]

Therefore:

[tex]\sf \dfrac79=0.\.{7}=0.77777..=0.8\:(nearest\:tenth)[/tex]

Answer:

D 133 degrees

Step-by-step explanation:

The measure of an angle external to a circle = the difference of the two arcs intercepted divided by 2

47  = [ (360 - x) - x ] / 2

94 = 360 - 2x

x = 133 degrees of the arc

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times height \\ [/tex]

[tex]v = \frac{1}{3} \times \pi \times {2}^{2} \times 6 \\ [/tex]

[tex]v = \frac{24}{3} \pi \\ [/tex]

[tex]v = 8\pi \: \: \: {in}^{3} [/tex]

The greatest number of lines of symmetry that can be drawn on the figure will be C. 2.

The line of symmetry is defined as the axis or imaginary line that passes the center of the shape or object and divides it into identical halves.

Here, the greatest number of lines of symmetry that can be drawn on the figure will be 2. This means that if one was to fold the shape along the line, both halves would match exactly.

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Answer:

Step-by-step explanation:

6/2 = 3

3:6 =

1:2

Answer:

24

Step-by-step explanation:

The spinner has 4 equally possible outcomes. The die has 6 equally possible outcomes.
Multiply the possible outcomes.
4*6=24

Answer:

12

Step-by-step explanation:

Let's write this in ratio form.

Days : Chocolates

1 : 2

15 : 30

So, he would eat 30 chocolates in 15 days. To find the remaining ones, we will subtract from the total of the chocolates given.

Chocolates = 42 - 30

= 12

The measure of each smaller each angle is 30 degrees.

We have given that,

Oliver draws a straight angle, and then two rays to divide the angle into 3 equal parts.

The measure of the straight angle is 90 degrees.

Therefore we get a straight angle is 90 degrees.

we have to divide the straight angle into 3 equal parts.

that is, 90/3=30

Therefore each angle is 30 degrees.

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Answer:

-6

Step-by-step explanation:

A vector is defined as having a magnitude of 15 m and a direction of East. Multiply this vector by the scalar value of –6.

Answer:

L = 29

w = 33

Step-by-step explanation:

  Area = w × L

           = (L + 4) × L

⇔ 956 = L² + 4L

⇔ 956 = (L + 2)² − 4

⇔ 956 + 4 = (L + 2)²

⇔ 960 = (L + 2)²

[tex]\Leftrightarrow L+2=\sqrt{960}[/tex]

[tex]\Leftrightarrow L+2=30.983866769659[/tex]

[tex]\Longrightarrow L+2 \approx 31[/tex]

[tex]\Longrightarrow L \approx 29[/tex]

[tex]\Longrightarrow w=L+4 \approx 29+4\approx33[/tex]