Write an expression for "the quotient of z and 4

Answer:

3000 milliliters

Step-by-step explanation:

1liter contains 1000militers

3liters contain (3*1000)militers

Answer:

3000 millilitres

Step-by-step explanation:

since 1 litre = 1000 millimetres

3 litres will be equal to 1000 x 3 = 3000 ml

Answer:

- Trinomials that can be factored into two binomials are:

1. x² + 5x + 6

Factored to: (x + 3)(x + 2)

2. x² + x - 2

Factored to: (x - 1)(x + 2)

Example of a Trinomial that cannot be factored into two binomials:

x² + 5x + 1

Step-by-step explanation:

- A trinomial is a polynomial that consist of three terms. It is in the form:

ax² + bx + c.

- A binomial is a polynomial that consists of two terms. It is of the form:

bx + c.

A trinomial is said to be factorable if the can be written as a product of two binomials.

Example 1:

The expression: x² + 5x + 6

Can be rewritten as:

x² + 2x + 3x + 6

Grouping this, we have

(x² + 2x) + (3x + 6)

Which becomes

x(x + 2) + 3(x + 2)

Factoring (x + 2), we have

(x + 3)(x + 2)

Which is a product of two binomials as required.

Therefore, the expression is factorable.

Example 2:

The trinomial expression:

x² + x - 2

Can be written as:

x² + 2x - x - 2

= (x² + 2x) - (x + 2)

= x(x + 2) - (x + 2)

Factoring (x + 2), we have

(x - 1)(x + 2)

This a product of two binomials, hence, the tutorial is factorable.

Example 3:

Consider the trinomial:

x² + 5x + 1

This is not factorable, because the term 5x cannot be split into a sum or difference, in such a way that it has a common factor with x² and with 1.

Unlike in the case of Example 1.

x² + 5x + 6

5x was split into the sum of 2x and 3x

That is, x² + 5x + 6 = x² + 2x + 3x + 6

So that, 2x has a common factor, x with x², and 3x has a common factor, 3 with 6.

Answer:

Dear dandrexbox

Answer to your query is provided below

She will burn 351.6 calories if she run 3 miles.

She needs to run 4 miles (approx) per day for a week to burn one pound calories.

Step-by-step explanation:

Explanation for the same is attached in image

Answer:

Step-by-step explanation:

Given data  

Current in cord is  I  = 8 a m p

Power of iron is   P = 1200 W

Voltage converted is  

V = 120 V

The power can be expressed as

[tex]P=IV=\\I=\frac{P}{V}[/tex]

Substitute the given value in above we get,

I = [tex]\frac{1200}{120}= 10amps[/tex]

Thus, the current use by iron is  

10 A

Answer:

Carole is 15

Joe is 3

Step-by-step explanation:

Carole's age is 15

Joes age is 3

3*5=15

15+3=18

Answer:

Carole = 15 Yrs

Joe = 3 Yrs

Step-by-step explanation:

15/5 =3

15+3 =18

Sry for the short explanation. Hope this helps!

Answer:

5 is your answer

Step-by-step explanation:

The [tex]\sqrt{25}[/tex] will equal to 5, because [tex]5^2[/tex] = 25

Answer:

5

Step-by-step explanation:

5 x 5 =25, so it is the square root of 25

Answer:

84days

Step-by-step explanation:

1 week = 7days =>12 weeks = 12×7 = 84days

Answer:

84 days are in 12 weeks

Step-by-step explanation:

1 week = 7 days

4 weeks = 28 days

So 28 + 28 + 28 = 84 days

Answer:

  every equivalent to 6 ≤ x

Step-by-step explanation:

We can subtract 5+11/6x to get ...

  7 ≤ -(11/6)x +3x = (7/6)x

Multiplying by 6/7 gives ...

  6 ≤ x

__

When x is in the set of real numbers, x in any real number that is 6 or more.

When x is in the set of integers, x is any integer that is 6 or more: {6, 7, 8, ...}.

When no set is specified, the solution is simply ...

  6 ≤ x

Answer:

k = -4 (0, -14) also lies on the graph

Step-by-step explanation:

6 = (7 - 2)2 + k

6 = 10 + k

-4 = k

y = (0 - 5)2 - 4, y = -14

Answer: $600,600

Step-by-step explanation:

Total handling cost :

Workpiece moved * cost * distance

Work area A :

-, (5 × 22 × 900), (9 × 22 × 900), (7 × 22 × 500)

-, 99000, 178200, 77000

Work area B:

-, -, (6 × 22 × 500), (8 × 22 × 200)

-, -, 66000, 35200

Work area C:

-, -, -, (11 × 22 × 600)

-,-,-, 145200

Work area D:

-, -, -, -

Total weekly handling cost :

(99000 + 178200 + 77000 + 66000 + 35200 + 145200)

= $600,600

Kindly check attached picture for more explanation

Answer:

[tex] y = \frac{ 2}{ 3} x - 2[/tex]

Step-by-step explanation:

[tex]2x - 3y = 6 \\ - 3y = - 2x + 6 \\ \\ y = \frac{ - 2}{ - 3} x + \frac{6}{ - 3} \\ \\ \huge \purple{ \boxed{ y = \frac{ 2}{ 3} x - 2}} \\ this \: is \: in \: the \: slope - intercept \: form.[/tex]

Answer:

y = 2/ 3 x − 2

Step-by-step explanation:

slope intercept is y=mx+b

Answer:

6 and -2

Step-by-step explanation:

x^2-4x-12

set up equal to zero

x^2-4x-12=0

lets factor:

(x-6)(x+2)=0

x-6=0

x=6

or

x+2=0

x=-2

Answer:

x=6  x=-2

Step-by-step explanation:

x^2-4x-12 = 0

Factor

What two numbers multiply to -12 and add to -4

-6*2 = -12

-6+2 = -4

(x-6)(x+2) =0

Using the zero product property

(x-6) =0   x+2 = 0

x=6  x=-2

Answer:

448I think

Step-by-step explanation:

Answer:21

Step-by-step explanation:

Answer: No answer

Step-by-step explanation:

Not an inequality, inequalities are of the form 2x - 3 > something.

If it's 2x - 3 > 0 for example, then add both sides by 3 to get 2x > 3, then div by 2 to get x > 3/2.

Hope that helped,

-sirswagger21

Answer:

Height of tree = 15 ft

Step-by-step explanation:

Given:

Length of shadow (Base) = 8 ft

Length from the tip to top of the tree (Hypotenues) = 17 ft

Find:

Height of tree = ?

Computation:

Using Pythagoras theorem:

[tex]Height\ of\ tree = \sqrt{Hypotenues^2 - base^2} \\\\Height\ of\ tree = \sqrt{17^2 - 8^2} \\\\Height\ of\ tree = \sqrt{289-64}\\\\Height\ of\ tree = \sqrt{225}\\\\ Height\ of\ tree =15[/tex]

Height of tree = 15 ft

Answer:

The answer is 15 feet from the ground to the top of the tree.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(eˣ − e⁻ˣ) / (eˣ + e⁻ˣ) = t

Multiply by eˣ/eˣ.

(e²ˣ − 1) / (e²ˣ + 1) = t

Solve for e²ˣ.

e²ˣ − 1 = (e²ˣ + 1) t

e²ˣ − 1 = e²ˣ t + t

e²ˣ = 1 + e²ˣ t + t

e²ˣ − e²ˣ t = 1 + t

e²ˣ (1 − t) = 1 + t

e²ˣ = (1 + t) / (1 − t)

Solve for x.

2x = ln[(1 + t) / (1 − t)]

x = ½ ln[(1 + t) / (1 − t)]

Use log rule.

x = ln(√[(1 + t) / (1 − t)])

Answer:

  see below

Step-by-step explanation:

In my opinion, Antoinette should make use of a graphing calculator to find the solution. (second attachment)

__

Slope-intercept form can be useful for graphing, so it often works well to start with equations in that form. If that is Antoinette's strategy, she should rewrite the first equation to that form. The second equation is already in slope-intercept form.

In doing that rewrite, she will want to get the y-term on one side of the equal sign by itself. She can do that by subtracting 2x from the first equation:

  -7y = -2x +56

As a final step in her rewrite, she would divide by -7 to get ...

  y = 2/7x +56

This 2nd equation has a positive slope of 2/7. The slope of the second equation is similarly the x-coefficient, -2.5. Neither is 4 and they have different signs.

The appropriate answer choices are shown checked below.

Answer:

B and D

Step-by-step explanation:

I got it right m8. Good day

Answer:

90 boys

Step-by-step explanation:

There are 180 players

Multiply by the percent that are boys to find the number of boys

180 * 50%

180 * .50

90

Answer:

90 boys

Step-by-step explanation:

The soccer league has 180 players, and 50% or half are boys.

Multiply the total number of players in the league by the percent that are boys.

total number of players * percent of boys

180* 50%

Convert 50% to a decimal by dividing by 100, or moving the decimal place 2 spaces to the left.

50/100=0.50

50.0–>5.0–>0.50

180*0.50

Multiply

90

There are 90 boy soccer players in the league.

Answer:

0.288

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

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, we have that:

[tex]\mu = 17.48, \sigma = 3.25, n = 10, s = \frac{3.25}{\sqrt{10}} = 1.027740[/tex]

Find the probability that the mean printing speed of the sample is greater than 18.06 ppm.

This is 1 subtracted by the pvalue of Z when X = 18.06. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{18.06 - 17.48}{1.027740}[/tex]

[tex]Z = 0.56[/tex]

[tex]Z = 0.56[/tex] has a pvalue of 0.712

1 - 0.712 = 0.288

The answer is 0.288

Suppose 43% of the population has a retirement account. If a random sample of size 774 is selected, what is the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3%?

Answer:

the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3% is 0.9082

Step-by-step explanation:

Given that:

sample size n = 774

Let P be the population proportion for having a retirement account  = 0.43

Also

Let consider [tex]\hat p[/tex] be the sample proportion of having a retirement account.

However; as n is > 30 ; we can say:

[tex]\mathbf{\mu_{\hat p} = 0.43}[/tex]  ;  

 [tex]\mathbf{\sigma_{\hat p^2} = \dfrac{p(1-p)}{n}}[/tex]  

⇒   [tex]\mathbf{\sigma_{\hat p^2} = \dfrac{0.43(1-0.43)}{774}}[/tex]

⇒ [tex]\mathbf{\sigma_{\hat p^2} = \dfrac{0.43(0.57)}{774}}[/tex]

So; we need  P( the sample proportion will differ from 'p' by less than 3% i.e 0.03)

[tex]=P(| \hat p- p|< 0.03)[/tex]

[tex]=P(| \hat p- \mu _p|< 0.03)[/tex]

[tex]= P ( |\dfrac{\hat P - \mu_p}{\sigma_{\hat p}}|< \dfrac{0.03}{\sqrt{ \dfrac{0.43*0.57}{774} }})[/tex]

[tex]= P(|Z|<1.6859)\ \ \ \ [Z=(\dfrac{\hat P - \mu_{\hat P}}{\sigma_{\hat P}}) \sim N(0,1)][/tex]

[tex]= P(-1.6859 <Z<1.6859) \\ \\ = \Phi(1.6859)- \Phi (-1.6859) \\ \\ = \Phi (1.6859) - (1- \Phi(1.6859) \\ \\ = 2 \Phi (1.6859)-1[/tex]

From Normal Cumulative Distribution Function Table

[tex]= 2*0.9541 -1[/tex]

= 1.9082 - 1

= 0.9082

Thus; the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3% is 0.9082

Answer:  (7, 2)

Step-by-step explanation:

(x, y) → (x + 4, y - 1)

(3, 3) → (3 + 4, 3 - 1)

        =  (7, 2)

Answer:

A. The population in the CPS survey are all US households.

B. The population in the CES survey are all the non-farm businesses and government agencies.

Step-by-step explanation:

A sample is the number of people from a whole population who actually participated in a survey. The population is the entire group of people whom the survey is meant to study. The sample is an off shoot of the population.

In the given question, the Current Population Survey is a study on the entire US households. Since every household cannot be interviewed because of the large population, a sample of 60,000 households is used.  The whole households in the United States thus form the population under study.

For the Current Employment Statistics survey, the goal is to understand employment statistics in all the non-farm businesses and government agencies. This is the population. Since the entire population cannot be studied, a sample of 140,000 is used.

Answer:

n = 3 or n = 4

Step-by-step explanation:

Let the unknown number be n.  

Then:

n² = 7n - 12

In standard quadratic form, we have:

n² - 7n + 12 = 0

In factored form, we have:

(n - 3)(n - 4) = 0, and so

n = 3 and n = 4

Answer:

A =50.24 in ^2

Step-by-step explanation:

The diameter is 8 inches

The radius is 1/2 diameter

r = d/2 = 8/2 = 4

The area of the circle is given by

A = pi r^2

A = 3.14 (4)^2

A =50.24 in ^2

Answer:

C. 50.24 in²

Step-by-step explanation:

d= 8 in

r= 8/2= 4 in

Area= πr²= 3.14×4²= 50.24 in²

Answer:

Step-by-step explanation:

The value of y in the (x, y) pair must be 3 times the value of x if the point is to be on the line. That is the case for points A, D.

Answer:

I'm not sure if Leila is allowed to run 0 laps.

6 ≤ t ≤ 48

Step-by-step explanation:

To find the number of possible laps, you just find the smallest possible number and the largest.

1 = smallest

8 = largest

But, you have to multiply by 6 to find the time.

6 ≤ t ≤ 48

Answer:

[tex]y^2+88y+484[/tex]

Step-by-step explanation:

[tex]4(y+11)^2-3y^2= \\\\4(y^2+22y+121)-3y^2= \\\\4y^2-3y^2+88y+484= \\\\y^2+88y+484[/tex]

Hope this helps!

Answer:

  cos(20°)

Step-by-step explanation:

The "cofunction" is the function having the same value for the complement of the angle that this function has for the angle.

The cofunction of sine is cosine. The complement of 70° is 90° -70° = 20°.

  sin(70°) = cos(20°)

Answer:

x = 6                        x = -1

Step-by-step explanation:

When we have absolute value equations, we get two solutions, one positive and one negative

2x - 5 =7             2x -5= -7

Add 5 to each side

2x-5+5 = 7+5         2x -5+5 = -7+5

2x =12                     2x = -2

Divide each side by 2

2x/2 =12/2               2x/2 = -2/2

x = 6                        x = -1

Answer: What what my you explain shorter please

Step-by-step explanation: