Janice works part-time in a pizza restaurant. She makes a monthly salary of $240. She spends 3/5 of her salary on gas for her car. How much does Janice have left at the end of the month for her other expenses

Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two: , the raw score is relatively lower than the mean.

If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.

A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two:

If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.

To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.

In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.

By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.

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The measures οf the three angIes are x = 51.43 degrees, y = 92.85 degrees, and z = 118.85 degrees.

A Iinear equatiοn is a mathematicaI equatiοn that describes a straight Iine in a twο-dimensiοnaI pIane.

We can use the infοrmatiοn given in the prοbIem tο fοrm a system οf three equatiοns with three variabIes. Let x, y, and z represent the measures οf the first, secοnd, and third angIes, respectiveIy.

Frοm the first piece οf infοrmatiοn, we knοw that: x + y + z = 180

Frοm the secοnd piece οf infοrmatiοn, we knοw that: y + z = 5x

Frοm the third piece οf infοrmatiοn, we knοw that: z = y + 26

We can substitute the third equatiοn intο the secοnd equatiοn tο eIiminate z:

y + (y + 26) = 5x

2y + 26 = 5x

2y = 5x - 26

y = (5x - 26)/2

We can substitute this expressiοn fοr y intο the first equatiοn tο eIiminate y and z:

x + (5x - 26)/2 + (5x - 26)/2 + 26 = 180

2x + 5x - 26 + 26 = 360

7x = 360

x = 51.43

We can substitute this vaIue οf x back intο the expressiοn fοr y tο find y:

y = (5x - 26)/2

y = (5(51.43) - 26)/2

y = 92.85

FinaIIy, we can use the equatiοn z = y + 26 tο find z:

z = y + 26

z = 92.85 + 26

z = 118.85

Therefοre, the measures οf the three angIes are x = 51.43 degrees, y = 92.85 degrees, and z = 118.85 degrees.

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Answer:

students of mr.wilson :30

students of Mr.star : 12 less than Mr.wilson

then, 30-12=18

Store A:

discount is $20

Store B: discount is $10

answer:

B.Samuel will pay $10 less if he buys the boots from Store A

Hey there! :)

Answer:

A. x + 4

D. x + 2

Step-by-step explanation:

Starting with:

x² + 6x + 8

Find numbers that add up to 6 and multiply to 8. We get:

2, 4.

Put these into the factors:

(x + 2)(x + 4)

Therefore, the correct answers are:

A. x + 4

D. x + 2

If each of the letters is ordered randomly, the fractional probability of M being the last letter is 1/6.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We have to make a tree diagram to show all possible arrangements of the letters in the word MAT.

M     ⇒ A  ⇒ T    

       ⇒ T  ⇒ A

A  ⇒ M ⇒ T

    ⇒ T ⇒ A

T ⇒ M ⇒ A

  ⇒ A  ⇒ M

If each of the letters is ordered randomly, the fractional probability of M being the last letter is 1/6.

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The perimeter of the parallelogram ABCD is equal to 136

A parallelogram is a geometric shape with four sides, where opposite sides are parallel and have equal lengths. Its opposite angles are also equal in measure.

AB is equal to DC so;

5x - 18 = 2x + 12

5x - 2x = 18 + 12 {collect like terms}

3x = 30

x = 30/3 {divide through by 3}

x = 10

AB = 2(10) + 12 = 32

BC = 3(10) - 6 = 36

perimeter of parallelogram = 2(32 + 36)

perimeter of parallelogram = 2 × 68 = 136

Therefore, the perimeter of the parallelogram ABCD is equal to 136

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sinθ = t/o

cosθ = m/o

tanθ = t/m

cscθ = o/t

secθ = o/m

cotθ = m/t

The function is an exponential growth function

The function is given as

y=2(1.06)^9

We can begin by rewriting the given equation as:

y = 2 * 1.06t

So, we have

y = 2 * (1 + 0.06)^t

Now we can see that the equation is in the form y = a*b^t,

where a = 2 and b = 1.06^9

This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.

We can re-write it in the form y = a(1+r)t,

we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.

so we have y = 2(1+0.06)^t

So, the equation represents exponential growth with a = 2 and r = 0.06

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Answer:

5

6

÷  

1

6

=  

5

6

×  

6

1

=  

5 × 6

6 × 1

=  

30

6

=  

30 ÷ 6

6 ÷ 6

=  5

the awnser would be 5

Step-by-step explanation:

Answer:

5/6 x 6/1=30/6=5 The answer is 5

Step-by-step explanation:

Mark brainliest please

Answer:

It's -1/8

Step-by-step explanation:

The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881

The scatter plot of the election is added as an attachment

From the scatter plot, we have the following highlights

Start by calculating the degrees of freedom (df) using

df =n - 2

Substitute the known values in the above equation

df = 8 - 2

Evaluate the difference

df = 6

Using the critical value table;

At a degree of freedom of 6 and significance level of 0.01, the critical value is

z = 0.834

From the list of given options, 0.834 is between  -0.881 and 0.881

Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881

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Answer:

Step-by-step explanation:

$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.

This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.

Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.

The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.

Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.

In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.

The total cost of making the handles is the product of the number of handles times the cost per unit:

Total cost = 65 potholders × $1.65/potholder = $107.25

The total revenue from selling the handles is the product of the number of handles times the selling price per unit:

Total revenue = 65 potholders x $2.12/potholder = $137.8

Elmo's profit is the difference between total revenue and total cost:

Profit = Total Revenue - Total Cost

Profit = $137.8 - $107.25 = $30.55

Profit = $30.55

The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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Answer:

B, E, and D

Step-by-step explanation:

I'm not 100% sure

Answer:

The line will cross point (0,-5) and (25,0)

Step-by-step explanation:

Proved graph in the picture using desmos graphing software

The simplified expression of \(5\frac{1}{6} -7\frac{1}{3}\)  is\(-2\frac{1}{6}\) .

A fraction represented with its quotient and remainder is  called a mixed fraction.

To convert a mixed number into an improper fraction, multiply the whole number with the denominator of the proper fraction. Add the numerator of the proper fraction to this product to obtain the numerator of the improper fraction.

According to the given question

We have an expression

\(5\frac{1}{6} -7\frac{1}{3}\)

Before, simplifying the expression convert the given mixed fraction into improper fraction of the given expression.

So, \(5\frac{1}{6} =\frac{31}{6}\)

and, \(7\frac{1}{3} =\frac{22}{3}\)

Substitute these values in the given expression

⇒ \(5\frac{1}{6} -7\frac{1}{3} = \frac{31}{6} -\frac{22}{3}\)

⇒\(5\frac{1}{6} -7\frac{1}{3} = \frac{31-2(22)}{6}\)

⇒\(5\frac{1}{6} -7\frac{1}{3} =\frac{31-44}{6}\)

⇒\(5\frac{1}{6} -7\frac{1}{3} =\frac{-13}{6}\)

⇒\(5\frac{1}{6} -7\frac{1}{3} = -2\frac{1}{6}\)

Hence, the simplified expression of \(5\frac{1}{6} -7\frac{1}{3}\)  is\(-2\frac{1}{6}\) .

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Hi!

-2x³ + 5x - 7 = -2 * (-3)³ + 5 * (-3) - 7 =

= -2 * (-27) - 15 - 7 = 54 - 22 = 32

Grettings!

The best estimation of the current of the jeans is $39.

Percentage is the value per hundredth.Fractions and decimas can be converted into percentage by multiplying them with 100.

According to the given question a pair of jeans was 31 dollars but due to an increase the price went up to 129% of what it was originally.

Let us assume that the new price of the jeans be x dollars.

So, 129% of 31 which is (129/100) is the new price.

∴ (129/100)×31 = x

1.29×31 = x.

x = 39.99 dollars.

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Answer:

Surface area of rectangular prism

=P×h

=2(l+w)×h

=2(3+9)×2

=48mm²

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Given,

Length (l) = 9 mm

Breadth (b) = 3 mm

Height (h) = 2 mm

To find: The surface of it.

We, know that

Surface area of a cuboid = 2(lb + bh + lh)

By using the formula,

= 2(lb + bh + lh)

= 2(9*3 + 3*2 + 9*2)

= 2( 27 + 6 + 18)

= 2(51)

= 102 mm²

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Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

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Answer:

m=

\( \frac{4}{5} \)

Step-by-step explanation:

Slope of a line is the co efficient of x in the given line.

\(y = \frac{4}{5} x - 3 \\ y = mx + b\)

The solutions of the quadratic equation x³+ 16x -3x² = 48 are 3, –4i, 4i

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

A mathematical statement with two expressions that have the same value and the sign "equal to" between them is called an equation.

We are given the quadratic equation as;

x³+ 16x -3x² = 48

Subtract 48 from both sides;

x³+ 16x -3x² - 48= 48 -48

x³+ 16x -3x² - 48= 0

Factor left side of equation.

(x - 3)( x² + 16) = 0

Therefore, the roots are 3, –4i, 4i

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Answer: its nit the 3rd one i just took the test

Step-by-step explanation:

Answer:

h(x) = |x + 4| - 2

Step-by-step explanation:

Translation of functions:

- 4 on the x-axis ⇒ |x + 4|

- 2 on the y-axis ⇒ -2

The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:

h = 16t^2 + vt + s

Where:

h is the height of the flag,

t is the time in seconds,

v is the initial vertical velocity of the flag,

s is the initial height of the flag.

In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).

We can rewrite the equation as:

7 = 16t^2 + 30t + 5

To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.

The quadratic equation in this case is:

16t^2 + 30t + 5 - 7 = 0

16t^2 + 30t - 2 = 0

Now, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Applying the values from the quadratic equation, we have:

t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)

Simplifying further:

t = (-30 ± √(900 + 128)) / 32

t = (-30 ± √1028) / 32

Using a calculator, we find two solutions:

t ≈ -1.08 seconds or t ≈ 0.06 seconds

Since time cannot be negative in this context, we discard the negative solution.

Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

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