What is the measure of Angle E?

Answer:

x = -9 1/2

y = -16 1/2

Step-by-step explanation:

x - y = 7

solve the above for 'y':  -y = 7 - x

multiple each side by -1:  y = x - 7

now both equations are in 'y=' form

x - 7 = 3x + 12

-2x - 7 = 12

-2x = 19

x = -19/2 or -9 1/2

-9.5 - y = 7

-y = 16.5

y = -16.5 or -16 1/2

Answer:

(-19/2, -33/2)

Step-by-step explanation:

Answer:W=5x15

HTH

Step-by-step explanation:

Answer:

2 units

Step-by-step explanation:

It's because the only whole number factor pair to 10 is 2x5 and luckily, it turned out that 5-3=2, so there are no decimals or fractions.

Answer:

18,000

Step-by-step explanation:

6% is 0.06

300,000 * 0.06 = 18,000

Answer:

John's commision is $18,000

Step-by-step explanation:

This is is essentially asking what 6% of $300,000 is.

6% in decimal form equals 0.06

You then multiple the decimal to the orginal value.

(0.06)(300,000) = 18,000

John's commision is $18,000

Answer:

1/ 1000 ;

X : _____ 0 ___________ 390

P(x) : ___ 999/1000 ___ 1/ 1000 ;

0.39 ;

D ;

-$61

Step-by-step explanation:

1.)

Probability of winning with a single bet:

Winning numbers in lottery = 1

Lottery size = 1000

P(winning per bet) = 1/ 1000

2.)

X : _____ 0 ___________ 390

P(x) : ___ 999/1000 ___ 1/ 1000

3.)

Σx*p(x)

(0 * 999/1000) + (390 * 1/1000)

0 + 390 / 1000

= 0.39

4)

Expected winning :

Loss = - 1 * 999/1000 ; win = 390 * 1/1000

- 0.999 + 0.39 = - 0.609 = - $0.61

Hence, on average, for every $1 bet, I lose $0.61 on average

E.)

Expected winning for playing 100 times ;

Loss per play:

Expected winning * 100

-$0.61 * 100 = -$61

Loss of - $61 on average

Answer:

651

Step-by-step explanation:

deltamath

Answer:

[tex]Unit = 2\frac{2}{3}[/tex]

Step-by-step explanation:

Given

[tex]Bags = 8[/tex]

[tex]Bowls = 3[/tex]

Required

Determine the amount in each bowl

This implies that we calculate the unit measurement. This is calculated using:

[tex]Unit = \frac{Bags}{Bowls}[/tex]

[tex]Unit = \frac{8}{3}[/tex]

[tex]Unit = 2\frac{2}{3}[/tex]

Answer:

Since the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5=6 sides.

Step-by-step explanation:

Answer:

0.5819 = 58.19% probability that five or more families have life insurance

Step-by-step explanation:

For each family, there are only two possible outcomes. Either they have insurance, or they do not. The probability of a family having insurance is independent of other families. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

77% of husband-wife families with kids under 18 years old have life insurance.

This means that [tex]p = 0.77[/tex]

A random sample of six husband-wife families was selected.

This means that [tex]n = 6[/tex]

What is the probability that five or more families have life insurance?

This is

[tex]P(X \geq 5) = P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{6,5}.(0.77)^{5}.(0.23)^{1} = 0.3735[/tex]

[tex]P(X = 6) = C_{6,6}.(0.77)^{6}.(0.23)^{0} = 0.2084[/tex]

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) = 0.3735 + 0.2084 = 0.5819[/tex]

0.5819 = 58.19% probability that five or more families have life insurance

Answer:

Because they both equal d, you can set them equal to each other:

[tex]941-12t=523+26t\\418 = 38t\\t = 11[/tex]

Substitute t = 11 into the equation 523 + 26t = d:

[tex]523 + 26 *11 = d\\523 + 286 = d\\809 = d[/tex]

There will be 809 DVDs and Blu-ray discs sold per month in 11 months.

Answer:

x^3 - 2x^2 + 9x - 18.

Step-by-step explanation:

The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.

So we have:

P(x) = (x - 2)(x - 3i)(x + 3i)

= (x - 2)(x^2 - 9i^2)

= (x - 2)(x^2 - 9*-1)

= (x - 2)(x^2 + 9)

= x^3 + 9x - 2x^2 - 18

= x^3 - 2x^2 + 9x - 18.

Answer:

the answer should be 27.72

Answer:

720

Step-by-step explanation:

jayfeather friend me

Answer:

720

Step-by-step explanation:

Answer:

4.5 miles per hour

Step-by-step explanation:

Answer:

second one

Step-by-step explanation:

just multiply by -9 and see which one fits in

Answer:

{1, -9, 81, -729, …}

Step-by-step explanation:

Geometric sequence is basically multiplying the previous number by the constant. So it is 1 x -9 = -9, -9 x -9 = 81, -81 x -9 = -729, and so on.

Answer:

I can answer this give me one moment

Answer: I think the red moon is equal to 64 because 64 is half of 128, and I think the purple square is equal to 12 because if you add all of the other shapes, they equal 52 and 64 - 52 is 12.

Answer:

4 pounds and 2/3 of a pound

each bag would contain 2 pounds and 1/3 of a pound so two pounds would be two times that so 4 pounds and 2/3 of a pound is the answer.

i.dk if this is what u needed but good luck

hope this helped

Answer:

Just found that it is 3. Btw, try m a t h w a y. com

Step-by-step explanation:

Hope that helps!

Answer:

4 feet

Step-by-step explanation:

Let x be the height of the tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals 2 and 1/2. Let us represent this information in an equation.

5/8*x=2 and 1/2

Let us convert our given mixed fraction into an improper fraction.

5/8*x=5/2

Let us multiply both sides of our equation by 8/5.

8/5*5/8*x=5/2*8/5

x=8/2

x=4

Answer:

Yes, they are similar.

[tex]AB\approx 127.3947[/tex]

Step-by-step explanation:

Part 1)

Yes.

First, ∠D and ∠B are both right angles, so they are congruent.

Next, ∠DCE and ∠BCA are vertical angles. So, their measures are congruent.

Then by Angle-Angle Similarity, we acquire:

[tex]\Delta EDC\sim \Delta ABC[/tex]

Part 2)

The corresponding sides of similar triangles are proportional.

Therefore:

[tex]\displaystyle \frac{DE}{DC}=\frac{AB}{BC}[/tex]

By substitution:

[tex]\displaystyle \frac{103}{76}=\frac{AB}{94}[/tex]

Cross-multiply:

[tex]76AB=9682[/tex]

So:

[tex]AB=9682/76\approx127.3947[/tex]

Answer: 50

Step-by-step explanation:

Its 40

Step-by-step explanation