Mrs. Dizeu had a summer job that pays $15.00 an hour and she worked between 10 and 40 hours every week. Her weekly salary can be modeled by the equation: S = 15h, where S is her weekly salary and h is the number of hours she worked in a week. Describe the domain and range for this problem using interval notation.

Answer:

Step-by-step explanation:

Given that:

population mean = 10

variance [tex]\sigma^2[/tex] = 25  ; [tex]\sigma[/tex] =[tex]\sqrt{ 25}[/tex] = 5

sample size n = 28

The standard deviation of the sample mean:

= [tex]{\dfrac{5}{\sqrt{28}}[/tex]

= 0.95

To halve the standard deviation of the sample mean, the size of how large the sample will be can be computed as follows:

[tex]\dfrac{sd_1}{sd_2} = \dfrac{\dfrac{\sigma}{\sqrt{n}} }{\dfrac{\sigma}{\sqrt{n}} }[/tex]

[tex]\implies \dfrac{\dfrac{5}{\sqrt{28}} }{\dfrac{5}{\sqrt{28}} }[/tex]

[tex]= \dfrac{5}{\sqrt{28}} \times \dfrac{\sqrt{28}}{5}[/tex]

= 2

n = 4 × 28

n = 112

The standard deviation is 0.95 and if the standard deviation is halved then the sample mean is 112.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

A normal population has a mean of 10 and a variance of 25.

A random sample of sizes n-28 is selected.

A.  The standard deviation will be

[tex]\sigma = \dfrac{\sqrt{Var(x)}}{n} \\\\\sigma = \dfrac{\sqrt{25}}{\sqrt{28}} \\\\\sigma = 0.95[/tex]

B.  The sample be if you want to halve the standard deviation of the sample mean

[tex]\rm \dfrac{SD_1}{SD_2} = 2 = \dfrac{\sqrt{n}}{\sqrt{28}}\\\\n = 4*28 \\\\n= 112[/tex]

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0.909 is the  absolute value of -0.909

A number system is defined as a system of writing to express numbers.

The given number is a decimal number

-0.909

Minus zero point nine zero nine

We need to find the absolute value of -0.909

Absolute value of a Decimal is its numeric value without its sign

The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.

0.909 is the  absolute value of -0.909

Hence,  0.909 is the  absolute value of -0.909

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Answer:

1.39

Step-by-step explanation:

Answer:

C.0.1

Step-by-step explanation:

Because this is 10% confidence confirmed

Answer:

2x = (1/2)(26) - 1

The number is 6.

Step-by-step explanation:

2x = (1/2)(26) - 1

2x = 13 - 1

2x = 12

x = 6

The expression equivalent to 6x + 18 is 3(2x + 6) thus option (B) is correct.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that are all constrained and create an equation.

Expression is very useful to determine the end or root value of constraint.

As per the given,

6x + 18

Take 3 as common,

3(2x + 6)

Hence "The expression equivalent to 6x + 18 is 3(2x + 6)".

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Answer:

$5 each week

Step-by-step explanation:

$40 a month

$10 a week

$10-$5 is $5 each week

If you want to be paid $5 less, then every month you will be paid $35

There the amount that you get paid every week will be:

35 ÷ 4 ( 1 month have 4 weeks )

= $8.75

Answer:

rs480

Step-by-step explanation:

100%=r600      100%-20%=80%

80%=x

80 x 600 =48000

[tex]\frac{48000}{100}[/tex]=480

Answer:

The equation of the tangent line

[tex]y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )[/tex]

Step-by-step explanation:

Step(i):-

Given function y = x cot (x) ....(i)

Differentiating equation (i) with respective to 'x' , we get

[tex]\frac{dy}{dx} = x (-Co sec^{2} (x)) +cot(x) (1)[/tex]

Step(ii):-

The slope of the tangent line

[tex]\frac{d y}{d x} = -x Co-sec^{2} (x) +cot x[/tex]

[tex](\frac{d y}{d x} )x_{=\frac{\pi }{4} } = -\frac{\pi }{4} Co-sec^{2} (\frac{\pi }{4} ) +cot \frac{\pi }{4}[/tex]

We will use trigonometry formulas

[tex]Cosec(\frac{\pi }{4} ) = \sqrt{2}[/tex]

[tex]sec(\frac{\pi }{4} ) = \sqrt{2}[/tex]

[tex]Cot(\frac{\pi }{4} ) = 1[/tex]

Now the slope of the tangent

[tex]\frac{dy}{dx} =-\frac{\pi }{4} (\sqrt{2})^{2} )+1[/tex]

[tex]\frac{dy}{dx} =-\frac{\pi }{2} +1[/tex]

Step(iii):-

Given

Substitute [tex]x=\frac{\pi }{4}[/tex] in y = x cot (x)

               [tex]y = \frac{\pi }{4} cot (\frac{\pi }{4} )[/tex]

              [tex]y = \frac{\pi }{4}[/tex]

The point of the tangent line  [tex](x ,y ) = (\frac{\pi }{4} , \frac{\pi }{4} )[/tex]

The equation of the tangent line

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

[tex]y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )[/tex]

Answer:

week 5!

Step-by-step explanation:

Answer:

yes, week 55️⃣

Step-by-step explanation:

just see the little blue points

Answer:

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

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents & roots

Multiplication

Division

Addition

Subtraction

& is the order of operation.

First, subtract 6x from both sides:

6x (-6x)  + 2y = z (-6x)

2y = z - 6x

Next, divide 2 from both sides:

(2y)/2 = (z - 6x)/2

y = (z - 6x)/2

y = (z/2) - 3x

[tex]y = \frac{z}{2} -3x[/tex]  is your answer.

~

The given equation term of y is, y=(3/2)x-2.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation in the problem is;

3x+2y=4

To solve the given equation for y first rearrange the equation and put the y variable on the left-hand side as;

2y=3x-4

Divide the whole equation by 2 we get;

y=(3/2)x-2

Hence, the given equation term of y is, y=(3/2)x-2.

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let the nisha be x and nishan be y

Step-by-step explanation:

ATQ

your statement is x=2y

Answer:

Z- 13

Step-by-step explanation:

Divide 52 by 4

[tex]52 \div 4 =13[/tex]

Answer:

9.25

Step-by-step explanation:

M₄ means the area using 4 rectangles with heights equal to the function evaluated at the midpoints.

The width of each rectangle is (4−0)/4 = 1.

The area of each rectangle is:

M₁ = (1) (1.12) = 1.12

M₂ = (1) (1.80) = 1.80

M₃ = (1) (2.69) = 2.69

M₄ = (1) (3.64) = 3.64

The total area is therefore:

M = 1.12 + 1.80 + 2.69 + 3.64

M = 9.25

Answer:

x = 1

Step-by-step explanation:

Solve for x:

4 (2 x + 6) = 5 (x + 5) + 2

Hint: | Distribute 5 over x + 5.

5 (x + 5) = 5 x + 25:

4 (2 x + 6) = 5 x + 25 + 2

Hint: | Group like terms in 5 x + 2 + 25.

Grouping like terms, 5 x + 2 + 25 = 5 x + (25 + 2):

4 (2 x + 6) = 5 x + (25 + 2)

Hint: | Evaluate 25 + 2.

25 + 2 = 27:

4 (2 x + 6) = 5 x + 27

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

8 x + 24 = 5 x + 27

Hint: | Move terms with x to the left hand side.

Subtract 5 x from both sides:

(8 x - 5 x) + 24 = (5 x - 5 x) + 27

Hint: | Combine like terms in 8 x - 5 x.

8 x - 5 x = 3 x:

3 x + 24 = (5 x - 5 x) + 27

Hint: | Look for the difference of two identical terms.

5 x - 5 x = 0:

3 x + 24 = 27

Hint: | Isolate terms with x to the left hand side.

Subtract 24 from both sides:

3 x + (24 - 24) = 27 - 24

Hint: | Look for the difference of two identical terms.

24 - 24 = 0:

3 x = 27 - 24

Hint: | Evaluate 27 - 24.

27 - 24 = 3:

3 x = 3

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = 3 by 3:

(3 x)/3 = 3/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = 3/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

Answer:  x = 1

Answer:

4x= 14

Step-by-step explanation:

Answer:

a. g(0)= 1

b. f(-2)= 0

d. g(x-2)= 5x-9

Step-by-step explanation:

a. g(x)=5x+1  *substitute 0 for x*

g(0)= 5(0)+1

g(0)= 1

b. f(-2)= [tex](-2)^2-4[/tex]   *substitute -2 for x*

f(-2)= 4-4 =0

c. g(x-2)= 5(x-2)+1 *substitute x-2 for x*

 g(x-2)= 5x-10+1    *distributive property*

g(x-2)=5x-9          *simplify*

The answer to it is true

Answer:

Step-by-step explanation:

The question is not too clear. check the attachment for better view of the question.

From the options The set A = {2, 3, 4} will be compared to other options to determine which of the remaining set is equivalent to the set A.

x e R means the values in the set are real numbers and real numbers can either be rational or irrational. R= Hence the real numbers between  1 and 5 are not restricted to only positive integer values but also decimal numbers. and since set A does nit contain ant rational number, hence both set B and C are not equivalent to set A.

Also, set B is not equivalent to set C even though the values in both sets are integers. They are not equal because 1 is included in set B but not in set C.

Set D and E are equivalent because they both contains integers between 1 and 5. Integers are positive whole numbers between 1 and 5 since the both sets doesn't contain any negative value. Hence the set A = set D = set E

Answer:

36 and 49

Step-by-step explanation:

6x6 and 7x7

=(D-64)2

We move all terms to the left:

-((D-64)2)=0

We calculate terms in parentheses: -((D-64)2), so:

(D-64)2

We multiply parentheses

2D-128

Back to the equation:

-(2D-128)

We get rid of parentheses

-2D+128=0

We move all terms containing D to the left, all other terms to the right

-2D=-128

D=-128/-2

D=+64

Answer:

  Only the position changes with translation. Other measures, including slope and length, remain the same.

Step-by-step explanation:

Line segment CD can be placed directly on top of line segment AB. The translated segment has the same length and orientation as the original.

Answer:

Only the position changes with translation. Other measures, including slope and length, remain the same.

this should be your answer

Answer:

  4x +3y = -1

Step-by-step explanation:

To find the new constant for the equation, use the given x- and y-values:

  4(5) +3(-7) = 20 -21 = -1

The equation of the parallel line in standard form is ...

  4x +3y = -1

Answer:

How many hours?

Step-by-step explanation:

the answer to this is 2x

X is the number of hours and you multipy it by 2 wood

Answer:

0.9

Step-by-step explanation:

I am not sure how to really explain but the 2 negatives equal a positive. So if there is 2 Negatives also know as -     = a positive. And a positive is just the the opposite of a negative

The product of the given fractions is 3/25.

The given fractions are -3/5 and -1/5.

The product of two fractions can often be expressed by an equivalent fraction where the numerator and denominator have been divided by a common factor. The product of two fractions is the product of the numerators and the product of the denominators.

Now, multiply the given fractions

-3/5 × -1/5

Multiply numerators and write the result in numerator and multiply denominators and write the result in denominator.

That is, -3/5 × -1/5 = 3/25

Therefore, the product of the given fractions is 3/25.

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Answer:Line BD

Step-by-step explanation:

The top is shorter than the bottom, so it can't be AC. EF will only have about half of the section covered. BD is symmetrical so it can't be no lines. So it must be BD.