Milan is putting money into a savings account. He starts with $750 in the savings account, and each week he adds $70
Let "s" represent the total amount of money in the savings account (in dollars), and let "W" represent the number of weeks Mila
has been adding money. Write an equation (y = mx + b), relating "s" to "W". Then, use this equation to find the total amount of
money in the savings account after 12 weeks." (10 points)

Answer:

180 teenagers were at the game

Answer:

x = -2

Step-by-step explanation:

6 + 3(10x-22)

3 * 10x = 30x

3 * -22 = -66

6 + 30x = -66

-66 + 6 = -60

30x = -60

-60/30 = -2

x = -2

Answer:

a) 16.8 hours.

b) 0.86 hours squared.

c) 0.0606 = 6.06% probability that Z is between 15.9 and 16.1.

d) 0.8051 = 80.51% probability that Z is greater than 16

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When we add normal variables, the mean is the sum of each mean, while the variance is the sum of each variance. The standard deviation is the squared root of the variance.

In this question:

X1: Mean 8.6, standard deviation 0.1

X2: Mean 8.4, standard deviation 0.9

X3: Mean 0.2, standard deviation 0.2

Z = X1 + X2 - X3.

Mean:

[tex]\mu = 8.6 + 8.4 - 0.2 = 16.8[/tex]

Variance:

[tex]\sigma^{2} = 0.1^2 + 0.9^2 + 0.2^2 = 0.86[/tex]

Standard deviation:

[tex]\sigma = \sqrt{\sigma^{2}} = \sqrt{0.86} = 0.9274[/tex]

A) What is the expected value of Z, the total time that the help desk has an employee present?

[tex]\mu = 16.8[/tex]

So 16.8 hours.

B) What is the variance of Z?

[tex]\sigma = 0.86[/tex]

So 0.86 hours squared.

C) What is the probability that Z is between 15.9 and 16.1?

This is the pvalue of Z when X = 16.1 subtracted by the pvalue of Z when X = 15.9. So

X = 16.1

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16.1 - 16.8}{0.9274}[/tex]

[tex]Z = -0.75[/tex]

[tex]Z = -0.75[/tex] has a pvalue of 0.2266

X = 15.9

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15.9 - 16.8}{0.9274}[/tex]

[tex]Z = -0.97[/tex]

[tex]Z = -0.97[/tex] has a pvalue of 0.1660

0.2266 - 0.1660 = 0.0606

0.0606 = 6.06% probability that Z is between 15.9 and 16.1.

D) What is the probability that Z is greater than 16?

This is 1 subtracted by the pvalue of Z when X = 16. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 16.8}{0.9274}[/tex]

[tex]Z = -0.86[/tex]

[tex]Z = -0.86[/tex] has a pvalue of 0.1949

1 - 0.1949 = 0.8051

0.8051 = 80.51% probability that Z is greater than 16

Answer:

Ok! tysm!

Answer explanation:

Answer: x=68.5

Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.

[tex]97.[/tex]

Step-by-step explanation:

By using Pythagoras theorem

AC² = AB² + BC².

Let AB = 72 and BC = 65.

AC² = 72² + 65²

AC² = 5184 + 4225

AC² = 9409.

AC = √9409

AC = 97.

Answer:

north wind traders,fifth cofffe, margies coffe

Step-by-step explanation:

anwsers from khan.

Answer:

sorry 17.25 inches is the correct anser sorry answered it the wrong way did the wrong math formula

Step-by-step explanation:

Answer:

34.5

Step-by-step explanation:

there are two sides of a box! you multiply everything by 2 !

Answer:

£30

Step-by-step explanation:

100% - 25% =75%

75% of £40

=£30

y = -1

Get the variable on one side of the equation...

9 + y = 8

9 + y - 9 = 8 - 9

y = -1

Answer:

y = -1

Step-by-step explanation:

This is a one-step equation. All you have to do is subtract the 9 from the left side to move it to the right side. This would give you an answer of y = -1.

Answer:

He solved 75% of the puzzles!

Step-by-step explanation:

Okay, let's look at our fraction 18 out of 24. We can see that they are both even numbers, so at worst, we can divide the entire fraction by two. However, they have a GCF of six, so we will use that.

18                               3

----  divided by 6  =  ----

24                              4

Now that we have the fraction 3/4, we can turn that into a percentage!

3/4 is 0.75. To get the percentage, we multiply that by 100--now we have 75%.

A rectangle has two pairs of opposite sides that are equal in length and four right angles.

To determine the number of diagonals a rectangle has, we need to consider that a diagonal connects any two non-adjacent vertices of a shape.

In a rectangle, there are four vertices. For each vertex, we can draw a diagonal to any of the other three vertices that are not adjacent. Since there are four vertices in total, we can draw a diagonal from each of the four vertices to three other vertices, resulting in a total of 4 * 3 = 12 diagonals.

However, we must keep in mind that each diagonal is counted twice since it connects two different vertices. Therefore, we need to divide the total count of diagonals by 2, giving us the final answer.

Hence, a rectangle has 12/2 = 6 diagonals.

To know more about rectangle:

https://brainly.com/question/15019502

#SPJ6

Answer:

21.5

Step-by-step explanation:

Just find the find the difference between 34 and 77 (even though 34 is a negative) then half the answer.

Answer:

See below

Step-by-step explanation:

Here we have a function [tex]a[/tex] such that [tex]a: \mathbb{N}\to \mathbb{R}[/tex] and [tex]a:n \mapsto a(n) = a_n[/tex]

The sequence is denoted as [tex]$\{a_n\}_{n\in\mathbb{N}}$[/tex] such that [tex]\mathbb{N} = \{1, 2, 3, ...\}[/tex]

For this sequence, we would have

[tex]\left\{ {2^n\right\}_{n = 2}^8[/tex]

But sure it seems to follow

[tex]\left\{ {2^n\right\}_{n = 2}^\infty[/tex]

Answer:

The equation would be like :

2^(n+1)

Step-by-step explanation:

Hope this helps ;)

Good luck ^^

Answer:

No, it can be anywhere on the graph.

Step-by-step explanation:

Answer:

Attached

Step-by-step explanation:

Just a supplement of the above answer

Answer:

Step-by-step explanation:

90 times 3 = 270

9x-3 + 6x + 48 = 270

add like terms, 48-3 = 45

9x + 6x + 45 = 270

subtract 45 both sides and add like terms again

15x = 225

divide 15 on both sides

x = 15

Answer:

WOW THAT IS A LOT OF POINTS BRO

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The rocket's maximum height will be 1424 feet.

It will reach that height in 4 seconds.

It will reach the ground  in 8 seconds.

Step-by-step explanation:

One easy way to find the peak is to find the derivative and solve for zero:

h(t) = -16t² + 128t + 1680

To find the derivative of each term in that format, you simply multiply the coefficient by the exponent, and reduce the exponent by one.  In the case of terms with no variable, they disappear.  That gives us:

h'(t) = -32t + 128

This derivative describes the rate of change of h with respect to t, so to find the peak, we simply need to solve it for zero:

0 = -32t + 128

32t = 128

t = 4

So the maximum height occurs when t = 4.  Let's plug it in to the original equation:

h(t) = -16t² + 128t + 1680

h(4) = -256 + 512 + 1680

h(4) = 1424

So the rocket's maxiumum height is 1424 feet.

And we've already answered the second question, it happens at 4 seconds.

Also, the amount of time going up will be the same as the amount of time going down, which means that it will reach the ground in twice that time, or 8 seconds.

Answer:

28cm^2

Step-by-step explanation:

Area = 4 x 7

=28

hope it helps u

Answer:

100°

Step-by-step explanation:

Supplementary means the sum of the angles is 180°

so we add 4+5 = 9

180/9 = 20

20 now we multiply according to the ratio

20x4:20x5

80:100

the measure of the largest is 100°

Answer:

1/13

Step-by-step explanation:

there are 4 jacks in a deck of 52 cards

therefore probability of picking a jack:

4/52 = 1/13

Answer:

(6^-4)^-4, (6^-2)^-8, (6^8)^2

The expressions are equivalent to the given expression are (6²)⁸ and (6⁻⁴)⁻⁴. Therefore, options C and F are the correct answers.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is 6¹⁶.

Here, 6¹⁶=(6⁴)⁴

6¹⁶=(6²)⁸

6¹⁶=(6⁸)²

6¹⁶=(6⁻⁴)⁻⁴

Therefore, options C and F are the correct answers.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ7

Step-by-step explanation:

The Prokaryotic Cell

Prokaryotes are unicellular organisms that lack organelles or other internal membrane-bound structures. Therefore, they do not have a nucleus, but, instead, generally have a single chromosome: a piece of circular, double-stranded DNA located in an area of the cell called the nucleoid.

Answer:

8%

Step-by-step explanation:

10/125 * 100% = 8%

Answer:

30 > x

Step-by-step explanation:

-13 > x-43

-13 + 43 > x -43 + 43

30 > x

Answer: 1

Step-by-step explanation: f(3) would be one because if you look at the table 1 is next to 3. I hope this helps!

Answer:

Step-by-step explanation: