A system of equation is shown below.

2x + 3y = 34

y = 5x

What is the value of x + y ?

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:

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:

36

Step-by-step explanation:

its a square so all sides are equal so do 6 times 6

Answer: 36 cm squared

Step-by-step explanation:

first, we know squares have all equal sides, which means the square has 6cm for each side

we then multiply the base x height which equals 36

finally, since we are finding area, we put a “squared” symbol, or the word “squared”

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:

A = 1.5386

Step-by-step explanation:

Quarter circle area formula:

A = (πr²)/4

A= (π1.4²)/4

A = (3.14*1.96)/4

A = (6.1544)/4

A = 1.5386

Answer:

Standard error = 0.070

Step-by-step explanation:

Formula for the standard error of the distribution of differences in sample proportions is;

σ_(A - B) = √((p_a^(1 - p_a^)/n_a) + (p_b^(1 - p_b^)/n_b))

We are given;

p_a^ = 0.48

n_a = 80

p_b^ = 0.13

n_b = 66

Thus;

σ_(A - B) = √((0.48(1 - 0.48)/80) + (0.14(1 - 0.13)/66))

σ_(A - B) = √0.00496545455

σ_(A - B) = 0.070

Answer:

363.834

Step-by-step explanation:

multiply 627.30 with .58 and move the decimal points.

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:

Step-by-step explanation:

Probability = favorable outcomes / total outcomes

Answer:

5/12

Step-by-step explanation:

Hope this helps

Answer:

a) Interest earned = $300

b) balance = $1800

Step-by-step explanation:

a) I = Prt

P = $1500

r = 0.04

t = 5yrs

Substitute

I = ($1500)(0.04)(5)

Multiply

I = $300

b) balance = previous + interest earned

balance = $1500 + $300 = $1800

The account amounts to $1800 at 4% simple interest for 5 years.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, An account earns simple annual interest $1500 at 4% for 5 years.

∴ P = $1500, r = 4%, t = 5 years.

So, SI = (1500×4×5)/100.

SI = 15×20.

SI = $300.

So, The total amount after 5 years at 4% simple interest is $(1500+300).

= $1800.

learn more about simple interests here :

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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:

£30

Step-by-step explanation:

100% - 25% =75%

75% of £40

=£30

Answer:

Step-by-step explanation:

Volume = πr²h = π·8²·17 = 1088π ≅ 3,418.1 ft³

Since this cylinder has a radius of 8 feet, its volume is equal to 3,418.5 cubic feet.

Given the following data:

Radius of cylinder = 8 feet.

Height of cylinder = 17 feet.

Mathematically, the volume of a cylinder is given by this formula:

V = πr²h

Where:

Substituting the given parameters into the formula, we have;

V = 3.142 × 8² × 17

V = 3.142 × 64 × 17

V = 3,418.5 cubic ft.

Read more on cylinder here: brainly.com/question/21367171

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Answer:

V = 9 x 3 x 3 = 81 ft³

81 ft³ is the volume.

Answer:

the answer is C.

Step-by-step explanation:

Answer:

28cm^2

Step-by-step explanation:

Area = 4 x 7

=28

hope it helps u

[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:

1. 30.48cm

2. 5.77yds

3. 540min

4. 1200cm

5. 8.45qt

6. 168hr

7. 4535.92grams

8. 15yd

9. 32.808ft

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

This is an exponential growth function of the form

y=ar^x

Where y=final value, a=initial value, r=common ratio, x=term number.

Since a=10,520, that was the initial population in 2012.

Answer:

WOW THAT IS A LOT OF POINTS BRO

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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:

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Answer:

The GFC of 22 and 32 is 2

Step-by-step explanation:

Answer

Hola la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Answer:

80m

Step-by-step explanation:

Answer:

north wind traders,fifth cofffe, margies coffe

Step-by-step explanation:

anwsers from khan.

Answer: C

Step-by-step explanation:

Since she can speak more than 7, you can mentally get rid of A and B because the circles on the number line show less than or equal to and more than or equal to, and we already know she can speak more than 7 languages.

So between the less than or greater than symbol you need to pick the line that has the arrow pointing in the direction of the greater than symbol because she can speak more than 7 languages

The answer would be C because greater than symbols point in the same direction of the line >