Luis got paid $120 for 4 hours
How much does he get paid per hour?

A) $12 per hour
B) $3 per hour
C) $4 per hour
D) $30 per hour

The trash bin has a capacity of 50 gallons and it currently contains 30 gallons, then it is 60% full.

The capacity of the trash bin is 50 gallons. We want to find out what percentage of this capacity is occupied by 30 gallons.

To calculate the percentage, we use the formula:

Percentage = (Amount / Capacity) * 100

In this case, the amount is 30 gallons and the capacity is 50 gallons.

Substituting these values into the formula, we have:

Percentage = (30 / 50) * 100

To simplify the calculation, we can perform the division first:

Percentage = 0.6 * 100

Multiplying 0.6 by 100 gives us:

Percentage = 60

Therefore, 30 gallons represents 60% of the trash bin's capacity.

In conclusion, if the trash bin has a capacity of 50 gallons and it currently contains 30 gallons, then it is 60% full.

Learn more about formula here: brainly.com/question/30539710

#SPJ11

first we have to made the division so:

the the addition so:

Answer:

O North Atlantic Treaty Organization

Step-by-step explanation:

Julia's conditions are represented by inequalities: Object 1 has y+1 > |x|, Object 2 has 3 - y > |x|, indicating availability.

To represent the conditions set by Julia, we can write the following inequalities:

For Object 1:
Object 1 will be available only if y+1 is greater than the object's horizontal distance from the center. The horizontal distance from the center is represented by x.

So, the inequality for Object 1 is:
y + 1 > |x|

For Object 2:
Object 2 will be available only if 3-y is greater than the object's horizontal distance from the center. Again, the horizontal distance from the center is represented by x.

So, the inequality for Object 2 is:
3 - y > |x|

Therefore, the inequalities representing the conditions are:
Object 1: y + 1 > |x|
Object 2: 3 - y > |x|

To know more about inequalities Visit:

https://brainly.com/question/20383699

#SPJ11

These box plots show the basketball scores for two teams Bulldogs & Wolvernies.

Here we have to compare the spread of scores by Interquartile Range.

The interquartile range defines the difference between the third and the first quartile

It express as : Upper Quartile - Lower Quartile

For the Bulldogs :

Upper Quartile is 90

Lower Quartile is 70

So, Interquartile Range = Upper Quartile - Lower Quartile

Interquartile Range = 90 - 70

Interquartile Range = 20

For the Wolveniers :

Upper Quartile is 85

Lower Quartile is 55

So, Interquartile Range = Upper Quartile - Lower Quartile

Interquartile Range = 85 - 55

Interquartile Range = 30

as : 20 < 30

So, The Interquartile Range for bulldogs, 20 is less than the IQR for the Wolveniers, 30.

Answer : B) The Interquartile Range for bulldogs, 20 is less than the IQR for the Wolveniers, 30.

Answer:

Undercoverage

Step-by-step explanation:

Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.

I hope it helps! Have a great day!

Answer:

≈ 50 cm²

Step-by-step explanation:

Use the equation \(A= \frac{1}{4} \pi d^{2}\) Where d is the diameter.

Answer:

The answer that you're looking for is approximately 50 (rounded), In terms of π, it is 16π.

Step-by-step explanation:

In order to find the area you need to use the formula: Area = \(\pi r^{2}\).

Since The Diameter is double the amount of the radius you need to make sure to divide the diameter by 2 and replace "r" in the equation with the equation given.

8/2 gives you 4.  Now you have the equation Area of Circle =  \(\pi 4^{2}\).

Following the rules of PEMDAS we do exponents since there is no parenthesis.

\(4^{2}\) is the same as 16. In terms of pi, you just put pi next to your result giving 16π.

However, if you want to find out normally you can multiply with either 3.14 or π.

Both cases will give you different decimals, but when rounded to the nearest whole number they all give you 50.

Area of Circle  = \(\pi r^{2}\).
Area of Circle  = \(\pi 4^{2}\)
Area of Circle  = 16π
Area of Circle = 50 (rounded).

I hope this was helpful!

Answer:

Step-by-step explanation:

(-5/3)(-5/3)= 25/9= 2 7/9

Answer:

m=4

Step-by-step explanation:

to find the slope m take two points : (17,68). (20,80)

m=y2-y1/x2-x1

m=80-68/20-17=12/3= 4

m=4

y=4x

79/6

Step-by-step explanation:

(7/2-1/3)((-2)²)+1/2

=19/6(-2)²+1/2

=19/6(4)+1/2

=38/3+1/2

=79/6

hope this helps you!

The length of the diagonal of the square is \(4\sqrt{2}\) units. Additionally, the area of the square is \(16\) square units.

Answer:

f(3) is - 1

Step-by-step explanation:

f(3) means the function value when x = 3

3 is in the domain, the function value is in the range.

Thus when x = - 3 → y = - 1

f(3) is - 1

The value of given mapping diagram for function f(3) is - 1

What is Mathematical function ?

Mathematical function is the representation of relation between independent variables and dependent variables.

Here is given mapping diagram f(3) means the function value x = 3

3 is in the domain which is independent of range as shown in diagram.

Thus when x = 3 the range is approaching towards y = - 1

therefore, f(3) equals - 1

check and know more about function here :

https://brainly.com/question/12431044

#SPJ2

Answer:

x=18

Step-by-step explanation:

ok, so you mulityply base and hieght then divide by 2

your base is 6 and your height is 6

6x6=36

36/2=18

your welcome

Answer:

The first one has a slope of 4

The second one has a slope of 0.3 repeating

Step-by-step explanation:

You pick two points on the graph.

You find the x and y coordinates of each point.

You find the difference between the two x coordinates.

You find the difference between the two y coordinates.

Divide the difference in the y coordinates by the x coordinates.

If im wrong sorry owo im only in elementary school... <3

Answer:

4/6

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

b =(17,6x 8,9):19,7=7,95

Answer: 120 miles

Step-by-step explanation:

If a car goes 60 miles per hour then in two hours (60×2) it will go 120

Answer:

-7

Step-by-step explanation:

The value of x based on the equation given as 3(4x + 6) = 9x + 12 is -2.

It should be noted that an equation shows that relationship between the variables that are given or illustrated in the data.

The value for x based on the equation will be:

3(4x + 6) = 9x + 12

Open bracket

12x + 18 = 9x + 12

Collect like terms

12x - 9x = 12 - 18

3x = -6

Divide

x = -6/3

x = -2

Therefore, x is -2.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

Answer:

60 r 56

Step-by-step explanation:

The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.

To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A = Future value

P = Present value

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time period in years

In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:

A = 19.99 * e^(0.12 * 5)

Calculating the exponent first:

0.12 * 5 = 0.6

Then:

e^0.6 ≈ 1.82212

Finally:

A = 19.99 * 1.82212 ≈ 36.42

Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.

For more such question on cost. visit :

https://brainly.com/question/2292799

#SPJ8

A)  E[X] ≈ 3758.13 psi

B) The standard deviation √(V[X]) is then:

√(V[X]) ≈ 539.26 psi

C)  P(X≥ 3000 psi) ≈ 0.9525.

D) P(X≥ 4000 psi) ≈ 0.6443.

E) P(3500 psi ≤ X ≤ 4500 psi) ≈ 0.6546.

a) The average value E[X] can be calculated by taking the mean of the compressive strength data:

E[X] = (3549 + 3877 + 3969 + 3422 + 3813 + 3645 + 3425 + 3841 + 3867 + 3762 + 3780 + 3735 + 3852 + 4084 + 3963) / 15

E[X] ≈ 3758.13 psi

b) The variance V[X] can be calculated using the formula:

V[X] = ∑(x-E[X])^2 / n

where x is the compressive strength of each cylinder and n is the number of cylinders.

Plugging in the values, we get:

V[X] ≈ 290936.93 psi^2

The standard deviation √(V[X]) is then:

√(V[X]) ≈ 539.26 psi

c) We need to find the probability of X being greater than or equal to 3000 psi, which can be calculated using the z-score transformation and a standard normal distribution table:

z = (3000 - E[X]) / √(V[X])

z ≈ -1.67

Using a standard normal distribution table, we can find that P(Z ≥ -1.67) is approximately 0.9525.

Therefore, P(X≥ 3000 psi) ≈ 0.9525.

d) Using the same method as above, we find the z-score for 4000 psi:

z = (4000 - E[X]) / √(V[X])

z ≈ 0.37

Using a standard normal distribution table, we can find that P(Z ≥ 0.37) is approximately 0.6443.

Therefore, P(X≥ 4000 psi) ≈ 0.6443.

e) Using the same method as above, we find the z-score for 5000 psi:

z = (5000 - E[X]) / √(V[X])

z ≈ 2.72

Using a standard normal distribution table, we can find that P(Z ≥ 2.72) is approximately 0.0030.

Therefore, P(X≥ 5000 psi) ≈ 0.0030.

f) To find the probability of 3500 psi ≤ X ≤ 4500 psi, we first need to standardize the range using z-scores:

z1 = (3500 - E[X]) / √(V[X])

z1 ≈ -1.33

z2 = (4500 - E[X]) / √(V[X])

z2 ≈ 0.67

Using a standard normal distribution table, we can find that P(-1.33 ≤ Z ≤ 0.67) is approximately 0.6546.

Therefore, P(3500 psi ≤ X ≤ 4500 psi) ≈ 0.6546.

Learn more about deviation here:

https://brainly.com/question/31835352

#SPJ11

Answer:

0.00042

Step-by-step explanation:

Mia’s distance from the river is decreasing in the interval  0 < t < 2.5 and

Mia drives 100 miles to the beach.

The complete question is added at the end of this solution as an attachment

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we can see that the values of the graph decrease from t = 0 to t = 2.5

When represented as an interval, we have

0 < t < 2.5

Hence, the decreasing interval is 0 < t < 2.5

From the graph, we can see that the distance travelled in each half is 50 miles

So, the total distance is

total =50 + 50

Evaluate

total = 100

Hence, the total distance travelled is 100 miles

Read more about graphs at

https://brainly.com/question/24335034

#SPJ1

Complete question

Mia crosses a river when she drives from her house to the beach. The graph of the function d(t) = 40|t − 1.25| shows Mia’s distance from the river d, in miles, after t hours.

The domain of the function is 0 ≤ x ≤ 2.5. The graph shows her entire trip

Complete each sentence to make a true statement.

Mia’s distance from the river is decreasing in the interval  Choose... 0 < t < 1.25 or 1.25 < t < 2.5  .

Mia drives  Choose... 40 or 80 or 60 or 100  miles to the beach.

Answer:

B. 8

Step-by-step explanation:

Given the equation, \( s = 1.7f - 7.2 \),

where,

s = shoe size,

f = foot length,

To determine the shoe size of a man that has a foot length (f) of 9 in, substitute f = 9 into the equation.

\( s = 1.7f - 7.2 \)

\( s = 1.7(9) - 7.2 \) (substitution)

\( s = 15.3 - 7.2 \)

\( s = 15.3 - 7.2 \)

\( s = 8.1 \)

His shoe size is approximately 8 inches

Answer:

The answer is A.

Step-by-step explanation:

The answer is A because if you divide the price by how many are sold it comes out to 14.75.

Answer: A

Step-by-step explanation:

1 book cost $14.75

2 books cost $29.50

3 books cost $44.25

4 books cost $59.00

5 books cost $73.75

6 books cost $88.50

7 books cost $103.25

Following the elimination process the solution of the given system of equations is \((2, -4)\). Hence option B is correct.

The given system of equations is:

2x + 3y = −8   ....(i)

3x + y = 2 ----(ii)

To solve this system by using the elimination method,

Multiply 3 both sides in equation (ii) we get,

9x + 3y = 6  ....(iii)

Subtract (iii) from (i) we get,

2x + 3y - (9x + 3y ) = -8 -6

-7x = -14

Dividing both  sides by -7 we get,

x = 2

Put the value of x into equation (ii),

6 + y = 2

y = -4

Hence,

The solution of the system is \((2, -4)\) which is option B.

Learn more about system of equations at:

brainly.com/question/14323743

#SPJ12

The complete question is:

Solve the system of equations using elimination.

2x + 3y = −8

3x - y = 2

A. (−4, 0)

B. (2, −4)

C. (5, −6)

D. (8, −8)

Answer:

(2, −4)

Step-by-step explanation:

took the test xx

Finally, we can integrate each term of this expression to obtain the solution to the original indefinite integral. The final solution is (1/2)x - (1/2)ln(x² + 1) + C, where C is the constant of integration.

To solve the indefinite integral of the given function, we need to make use of substitution. One of the most appropriate substitutions for this integral is u = x² + 1. By making this substitution, we can simplify the integral to the point where we can apply the power rule of integration. The derivative of u with respect to x is du/dx = 2x. Therefore, we can express dx in terms of du by multiplying both sides of this equation by dx/2. This gives us dx = du/2x. Substituting this into the original integral, we get ∫(x²)/(x²+1) dx = ∫(u-1)/(2u) du. We can simplify this expression to get ∫(1/2) - (1/2u) du.  Overall, this substitution allows us to simplify the integral and arrive at a more manageable form. This demonstrates the power and utility of using substitution when dealing with complex integrals.

To know more about integral visit:

https://brainly.com/question/31433890

#SPJ11

Answer:

h = 8 inches

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

given A = 24 and b = 6 , then

\(\frac{1}{2}\) × 6 × h = 24 , that is

3h = 24 ( divide both sides by 3 )

h = 8 inches