In a particular week, Mary
worked 8 hours per day for 3
days and 4 hours per day for 2
days. She was paid $10 per hour.
How much did she earn for that
week?

A. $ 120.
B. $ 320.
C. $ 400.
D. $ 600.​

Answer:

10.2

How I found this answer:

4+6=10

3-1=2

10^2+2^2=104

The square root of 104 is 10.1980390272, which can be rounded to 10.2

Answer:

π = 22/7

²²/7= 3.14

Step-by-step explanation:

22/7= 3.14

(a) To determine if the city's shelters with a capacity of 350 will be enough for abused women on 95% of all nights, we need to analyze the probability distribution of the number of women seeking shelter.

Let's assume that the number of women seeking shelter follows a Poisson distribution with a mean of λ, representing the average number of women seeking shelter per night. For a Poisson distribution, the variance is also equal to λ.

To find the number of shelter openings needed for 95% of all nights, we need to calculate the value of λ such that the cumulative probability of the Poisson distribution is 0.95 or higher.

Using a statistical software or tables, we can find the value of λ that corresponds to a cumulative probability of 0.95. Let's assume this value is λ*.

If λ* is greater than 350, it means that the capacity of 350 shelter openings will not be enough for 95% of all nights. In that case, additional shelter openings would be needed.

(b) Given that the current capacity is only 220 openings, we can calculate the percentage of nights that the number of abused women seeking shelter will exceed the current capacity.

Using the Poisson distribution with a mean of λ*, which represents the average number of women seeking shelter per night (as calculated in part (a)), we can calculate the cumulative probability of the number of women exceeding the current capacity of 220 openings.

This cumulative probability represents the percentage of nights when the number of abused women seeking shelter will exceed the current capacity of 220 openings.

Again, using statistical software or tables, we can find the cumulative probability associated with λ* and calculate the percentage of nights that the number of abused women seeking shelter exceeds the current capacity.

Please note that the exact calculations would require specific values of λ* and the cumulative probabilities, which would need to be obtained using statistical tools or tables for the Poisson distribution.

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Answer:

x = 17.2

Step-by-step explanation:

since they are supplementary, when you add then together they equal 180

4x + 8 + 6x = 180

Combine like terms

10x + 8 = 180

subtract 8 from both sides

10x = 172

divide each side by 10

x = 17.2

hope this helps :)

The regular and overtime pay are $400,$180 respectively while combined it is $580.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.

Basic pay →

Number of hour × rate for basic pay

⇒ 40 × 10

⇒ $400

Overtime pay →

Number of hour × rate for overtime pay

⇒ (52 - 40) × 15

⇒ 12 × 15 = $180

Combined 400 + 180 = $580

Hence "The regular and overtime pay are $400,$180 respectively while combined it is $580".

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a) The corresponding z-score is 0.5 and the direction is to the right.

b) The percentage of adult spiders that have carapace lengths exceeding 19 mm is 30.85%.

If the area under the standard normal curve that lies to the right of nothing is 50%, then the z-score corresponding to this area is 0.

To find the z-score and direction that corresponds to the percentage of adult spiders that have carapace lengths exceeding 19 mm, we need to determine the area under the standard normal curve to the right of 19 mm and then find the corresponding z-score using a standard normal distribution table or calculator.

Assuming a normal distribution of carapace lengths of adult spiders, we need to standardize the value of 19 mm by subtracting the mean and dividing by the standard deviation. If we assume that the mean carapace length of adult spiders is 18 mm with a standard deviation of 2 mm, we can calculate the z-score as follows

z = (19 - 18) / 2 = 0.5

This means that a carapace length of 19 mm is 0.5 standard deviations above the mean. To find the area under the standard normal curve to the right of 19 mm, we can use a standard normal distribution table or calculator, which gives us an area of 0.3085.

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Answer:

They will be 5 miles apart in 1 hour

Step-by-step explanation:

Here, we want to calculate the time it will take for the two ferries to be 5 miles apart

Mathematically; distance = speed * time

Let the number of hours be x

In x hours, the cat will have traveled 34 * x = 34x miles

In x hours, the Bird will have traveled 29 * x = 29x miles

So;

34x - 29x = 5

5x = 5

x = 5/5

x = 1 hour

Answer:

answer was 3)

Step-by-step explanation:

Because function was star with 1,2,3,4,

Answer: a. \(f(x)=3^{x}\)

Step-by-step explanation:

You can plug in the x and y values to get \(f(x)=3^{x}\)

Answer:

--------------------------------

Given lines:

Convert both equations to slope-intercept form of y = mx + b:

Slopes are same, so these are parallel lines, and the distance between parallel lines is:

Substitute and calculate:

Answer:

It is A on edge

Step-by-step explanation:

Answer:

g(x) = – f(x – 2)

Step-by-step explanation:

The bending moment is the algebraic sum of the moments about the section of all external forces that act either to the left or to the right of the section under consideration.

The generalized numerical formula for the shear force at a point x along the beam is

V = (5x + 1/12 x^2)/2, w

The bending moment is the algebraic sum of the moments about the section of all external forces that act either to the left or to the right of the section under consideration. The shear force at any section of the beam is equal to the rate of change of bending moment with respect to the length of the beam, that is,

V = dm/dx.

Here, the bending moment of a 12-m beam is

M(x) = 5x + 1/12x.

The objective is to determine the generalized numerical formula for calculating the shear force of a beam at length x using a 2-m interval.

To estimate the shear force for each 2-m segment of the beam, differentiate the moment equation with respect to x.

dM/dx = d/dx

(5x + 1/12 x) = 5 + 1/12.

Therefore, the shear force at any point x along the beam can be obtained by integrating dM/dx over a given length from the start of the beam.
∫(5 + 1/12)dx

= (5x + 1/12 x^2)/2 + C.

We can determine the constant of integration C by using the boundary condition that the shear force is zero at the start of the beam.

V(0) = 0

= (5*0 + 1/12 * 0^2)/2 + C.

Therefore, C = 0.

Hence the generalized numerical formula for the shear force at a point x along the beam is

V = (5x + 1/12 x^2)/2, w

here x is the length of the beam from the start.

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Answer:

$6000.

Step-by-step explanation:

360/3(years)= 2% of Principle

so

120=2% of principle

2%=1/50

120*50=6000    

Ans.=$6,000

Answer: 1,560,000

Step-by-step explanation: Since each password must start with two digits and end with three letters, we need to consider the number of possible combinations of digits and letters separately.

For the first two digits, there are 10 choices for each position (since we can repeat digits). Therefore, there are 10 × 10 = 100 possible combinations of digits for the first two positions.

For the last three letters, there are 26 choices for the first letter, 25 choices for the second letter (since we can't repeat the first letter), and 24 choices for the third letter (since we can't repeat the first or second letter). Therefore, there are 26 × 25 × 24 = 15,600 possible combinations of letters for the last three positions.

To find the total number of passwords, we multiply the number of possible combinations of digits by the number of possible combinations of letters:

100 × 15,600 = 1,560,000

Therefore, there are 1,560,000 possible passwords of 5 characters that can be made if each password must start with two digits and end with three letters.

Answer:

Step-by-step explanation:

We'Re making 5 character passwords, so i'm going to put down 5 slots. The first 2 are digits and then the last 3 are the letters the digits are with replacement the letters without okay. So how do we go about doing this? Well, i'll start with the mathematical explanation, i'm going to be intuitive so mathematical. Is that we're going to be looking for for this? It'S quite simple. There are 10 digits because it's it's without a with replacement. You just have to multiply so there's 100 different 2 digit numbers from 00 up to 99 for the letters we have a case of permutations, so it would be 26 different letters and then we're choosing 3 of them and the order matters. If the order didn't matter, it would be a combination, but the order matters here. So it's permutation- and this is equal to n factorial over n minus x, factorial, which here 26 factorial over 23 factorial, which is 26 times 25 times 24 point because of a rest, all cancels. So this becomes 16600 possibilities for 3 letter combinations. When you can't repeat a letter multiply that by this, so this is 15600 and we get a total number of possibilities as being this there's the answer. So all about was with the permutation formula. Now i'm going to do it with just an intuition okay. So how many possible letters can go here any of the 26 point? How many possible letters can go here? Well, any that you haven't already used, you can't repeat them. So there's only 25 letters left and here there's only 24 letters left and you can see you get the same answer as before:

Answer:

55°

Step-by-step explanation:

complementary = 90°

so take 90° and subtract A to get B

Answer:

7

Step-by-step explanation:

3^2 = 9

18-9=9

63÷ 9=7

Answer:

7

Step-by-step explanatio

63 ÷ (18-9)

63÷9= 7

Answer:

a

Step-by-step explanation:

80d = 400 is the equation that relates the number of days d that an athlete spends training when the athlete trains for 400 min given that athlete trains for 80 min each day for as many days as possible. This can be obtained by converting the given statements into algebraic equation.

Here in the question it is given that,

that is each day the athlete spends 80 min.

So we can write that,

400 min is the time spent by the athlete

400 min  = number of days × time spent by the athlete in one day

400 min  = d × 80

⇒ 80d = 400  

Hence 80d = 400 is the equation that relates the number of days d that an athlete spends training when the athlete trains for 400 min given that athlete trains for 80 min each day for as many days as possible.

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Answer:

First, we need to calculate the daily interest rate on the credit card. We can do this by dividing the annual percentage rate (APR) by the number of days in a year:

Daily interest rate = APR / 365

Daily interest rate = 0.2445 / 365

Daily interest rate = 0.00067 or 0.067%

Next, we can calculate the interest that will accrue over the course of one month, which is approximately 30 days:

Interest = Balance * Daily interest rate * Number of days

Interest = $1,359 * 0.00067 * 30

Interest = $27.42

Adding the interest to the outstanding balance, we get:

Balance after one month = $1,359 + $27.42

Balance after one month = $1,386.42

Therefore, the balance on the credit card after one month will be approximately $1,386.42.

Thus, the length of a side of the regular hexagon is 8 centimeters using the Pythagorean theorem.

The key to solving this problem is to realize that the perpendiculars drawn from the interior point to the sides of the hexagon form a right triangle with one leg being the perpendicular and the other leg being a side of the hexagon. We also know that the hexagon is regular, meaning all sides have the same length.

Let's label the length of the side of the hexagon as "x". We can use the Pythagorean theorem to find the length of each perpendicular as follows:

- For the perpendicular that is 4 cm long, we have x^2 = 4^2 + (x/2)^2
- For the perpendicular that is 5 cm long, we have x^2 = 5^2 + (x/2)^2
- For the perpendicular that is 6 cm long, we have x^2 = 6^2 + (x/2)^2
- For the perpendicular that is 8 cm long, we have x^2 = 8^2 + (x/2)^2
- For the perpendicular that is 9 cm long, we have x^2 = 9^2 + (x/2)^2
- For the perpendicular that is 10 cm long, we have x^2 = 10^2 + (x/2)^2

Simplifying each equation and using a bit of algebra, we get:

- 3x^2 = 16^2
- 7x^2 = 25^2
- 12x^2 = 36^2
- 24x^2 = 64^2
- 33x^2 = 81^2
- 40x^2 = 100^2

Solving for x in each equation, we find that x = 8 cm. Therefore, the length of a side of the regular hexagon is 8 centimeters.

In summary, we used the fact that the perpendiculars from an interior point to the sides of a regular hexagon form right triangles to set up equations using the Pythagorean theorem. Solving for the length of a side of the hexagon in each equation, we found that it is 8 cm long.

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Answer:

50

Step-by-step explanation:

The lioness has to run 300 yards to catch her lunch.

When the gazelle was drinking water from the river, the lioness watched her from the brush 200 yards south of her position. As the lioness sprang from her hiding position, the gazelle leaped away from the lioness, running in a straight line due north. The gazelle ran at 8 yards per second, and the lioness ran at 12 yards per second.

Let's determine the distance between the gazelle and the lioness when the gazelle started to run.The gazelle was drinking water while the lioness watched her from the brush 200 yards south of her. So the distance between the gazelle and the lioness at the start is 200 yards.

The time it takes the lioness to catch the gazelle is equal to the time the gazelle takes to run away from the lioness. This is because the distance traveled by the lioness will be the same as the distance the gazelle travels. Let's to find out how long the lioness will take to catch the gazelle.

Since the gazelle ran at 8 yards per second, she will run 100 yards in 100/8 seconds, which is 12.5 seconds.

Therefore, it took the gazelle 12.5 seconds to travel 100 yards. During this time, the lioness was also running.

Therefore, the lioness would have covered the distance between her and the gazelle in 12.5 seconds at her speed of 12 yards per second.

The distance between the gazelle and the lioness at the start is 200 yards.
Therefore, the distance the lioness needed to run to catch the gazelle is

200 + 100 = 300 yards.

The lioness has to run 300 yards to catch her lunch.

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Answer:

RT= 10.5cm (3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:3576m

Step-by-step explanation:

3250+326=3576

Answer:

y = x + 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Find slope m

m = (1 - 6)/(-1 - 4)

m = -5/-5

m = 1

y = x + b

Step 2: Find y-int b

y = x + b

1 = -1 + b

b = 2

Step 3: Rewrite equation

y = x + 2

Answer:

25/14

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

The equation for the for the graph in picture is

The graph of a trigonometric function is known as a trigonometric graph.

We should apply the equation for the generic sine graph since we wish to determine the equation of the graph.

y = A sin (Bx + C) + D

where:

B = 2π/T, where T is the period, and

A is the amplitude.

A = [absolute maximum - absolute minimum]/2

A = [2.5 - 1.5] / 2

A = 1/2

B = 2π/T

where T = π (from  the graph)

B = 2π/T

B = 2π/(π)

B = 2

C = 0

D = vertical shift = -2

We then substitute into y, thus

y = A sin (Bx + C) + D

y = 1/2 sin 2x - 2

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Answer:

The line should go through (0,6), (1,7) (2,8), (3,9) and (4,10)

Step-by-step explanation:

Given

Yolanda's age is y

Xavier's age is x

so we have (2,8) and (4,10)

m = (y2 - y1)/(x2 - x1) = (10 - 8)/(4 - 2) = 2/2 = 1

so y = mx + b

10 = 1(4) + b

b = 6

y = x + 6

Answer:

the answer is C your welcome!!!!

Step-by-step explanation:

Answer:

Let's denote O as center of circle.

=> Two isosceles triangles  AOB and EOF are congruent (SSS).

Because AO = BO = EO = FO = radius of circle O, AB = EF = 8

=> Arc AB = AOB = EOF = Arc EF = 65 deg.

Hope this helps!

:)