whats 5/35 in simpplest form

Answer:

C. 19,306 and 21,694

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, for samples of 30:

Mean: 20,500

Standard deviation: [tex]s = \frac{2180}{\sqrt{30}} = 398[/tex]

99.7% of the sample means fall within 3 standard deviations of the mean, by the Empircal Rule with the Central Limit Theorem:

Lower bound: 20500 - 3*398 = 19,306

Upper bound: 20500 + 3*398 = 21,694

So the correct answer is option C.

Answer:

-28

Step-by-step explanation:

=5(2)²+16(-3)

=5(4)+(-48)

=20-48

=-28

Answer:

-28

Step-by-step explanation:

Expression: 5x²+16y

x=2 and y=-3

We'll substitute x as 2 and y as -3

5(2)²+16(-3)

Following Order of Operations, do the exponent part first

5(4)+16(-3)

Multiply

20-48

subtract

-28

Hope this helps

Answer:

its 0.001

Step-by-step explanation:

Hope this helps :)

Answer:

0.001

Step-by-step explanation:

10^-3 = 0.001

You don't multiply since it's a negative power.

Ace

Answer:

C

Step-by-step explanation:

We can use the vertex form of a quadratic equation, given by:

[tex]f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

We are given that the vertex is (-3, 1).

Hence, h = -3 and k = 1. By substitution:

[tex]f(x)=a(x-(-3))^2+(1)[/tex]

Simplify:

[tex]f(x)=a(x+3)^2+1[/tex]

With this, we can eliminate B and D.

Notice that our parabola is curving downwards.

Therefore, our leading coefficient must be negative.

The only choice that leaves us with is C.

So, our function is:

[tex]f(x)=-(x+3)^2+1[/tex]

And our final answer is C.

Answer:

$74.49

(basically $74.50)

Step-by-step explanation:

hope that helps :))

Answer:

75 dollars

Step-by-step explanation:

Step-by-step explanation:

[tex] = a(a + ab - c) - bc[/tex]

[tex] = {a}^{2} + {a}^{2} + ab - ac - bc[/tex]

[tex] = {2a}^{2} + ab - ac - bc[/tex]

The required number of students in the class is given as 32, as per the given condition.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Let the number of students in the class be x,
according to the question,
50% of x = 16
x = 16/50%

x = 16/0.5

x = 160/5
x = 32

Thus, the required number of students in the class is given as 32, as per the given condition.

Learn more about percentages here:

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Answer:

$24,166.67

Step-by-step explanation:

Let carry out the breakdown:

So Norman Jean makes a flat rate of $25 per hour, also she works 35 hours per week.

From the above statement Jean will make => 25 × 35 = $875 in a single week without commission.

For Jean to make $4500 in a week, we derive an equation for this:

875 + x = 4500;

x is the amount of commission Jean has to get in a week to make up to $4500 in that week => x = 4500-875; x = $3625.

Let y be the amount of sales Jean has to make to get a commission of x, we derive the following equation: 0.15 × y = x.

y = x ÷ 0.15 => 3625 ÷ 0.15

y = 24166.67.

So for Jean to meet her target of $4500 in a single week, Jean needs to make a sale worth $24,166.67.

Answer:

2nd option AOD and BOD because they add up to 180

Step-by-step explanation:

Answer:

6^5

Step-by-step explanation:

You too, btw!

Answer:

6 with a small 5 on the side so press the button with the a and the small be then put 6 and 5 as the small number

exponents are just 6 x 6 x 6 x 6 x 6 just count the number of 6's and put it as the little number if that names sense

Step-by-step explanation:

Answer:

The facility's volume in cubic yards is 9000

Step-by-step explanation:

The volume of the facility is given by the multiplication of it's dimensions.

We want the volume in cubic yards, so the dimensions have to be in yards.

Each feet has a third of an yard. So the dimensions are:

120 feet = 40 yards

45 feet = 15 yards

45 feet = 15 yards

What is the facility's volume in cubic yards?

[tex]V = 40*15*15 = 9000[/tex]

The facility's volume in cubic yards is 9000

Answer:

The Answer is 8.

Step-by-step explanation:

I just took the test on Edge and got it right, hope this helps! :)

Answer: 60

Step-by-step explanation:

30 papers every minute.

Answer:

The correct answer is 60

Step-by-step explanation:

First you find the unit rate by doing 300 divided by 10 which equals 30  posters per minutes then do 30 times 2 to equal 60

HAVE A GOOD DAY!

Answer:

you would do 3,172 divided 27 which would be 117 then subtract that by 3,172

Step-by-step explanation:

Answer:

FV= $34,222.33

Step-by-step explanation:

First, we need to calculate the weekly interest rate:

Weekly interest rate= 0.0289/52= 0.00056

To calculate the future value (FV), we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= weekly deposit

n= 15*52= 780

A= $35

FV= {35*[(1.00056^780) - 1]} / 0.00056

FV= $34,222.33

Answer:D

Step-by-step explanation:

The solution is: x = +/- √7 and x = +/- i √2  are the solutions of the equation x^4 - 5x^2 - 14 = 0.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

we have to factorize the equation,

The given equation is

x^4 - 5x^2 - 14 = 0

To factor this expression, we can change variables to make easier to see the solution.

x^4 = y^2

and

x^2 = y

Applying the change, we have

y^2 - 5y - 14 = 0

Now, you can observe that to factor this expression, we just need to find two number which product is 14 and which difference is 5, such numbers are 7 and 2.

y^2 - 5y - 14 = 0

or, (y-7) ( y+2) = 0

However, remember that , y = x^2

so, (x^2-7) ( x^2+2) = 0

Applying the zero property, we have

x = +/- √7

and x = +/- i √2

As you can see, the equation has two real solutions and two complex solutions.

Therefore, the right answer is the last choice.

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Answer:

[C] 16

Explanation:

= 7x + 8 + −7x + 8

= 7x + 8 + −7x + 8

= (7x + −7x) + (8 + 8)

= 16

finish brackets first.

(6) + (9-7)

= 6+2

=8

Answer:

A. 2(5x + 2) = 3x + 32

F. ½(3x + 32) = 5x + 2

Step-by-step explanation:

GH = 5x + 2

KL = 3x + 32

Based on the midsegment theorem,

½(KL) = GH

That is:

½(3x + 32) = 5x + 2

Or

2(GH) = KL

That is:

2(5x + 2) = 3x + 32

Answer:

3x-5+2y

Step-by-step explanation:

Wasnt much detail to the question so i created a random algebra expression you cannot have an equal sign for an expression because that would change it from an expression to an equation.

Well we need what reasons they could be similar. Is that all you are given or are there options?