PLEASE HELP ME I WILL FOREVER LOVE YOU
Tim's pay was $250, and Rita's pay was $370. Tim
also earned $36 per package, and Rita also earned $28
per package. How many packages will they have to
deliver to earn the same amount?

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Answer:

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

Find the value of each expression:

Order the values from least to greatest:

Answer:

Hm mmm

Step-by-step explanation:

The answer is 3.

Step-by-step explanation:

dnwkxmexk

Given :-

To prove :-

Construction :-

Proof :-

In ∆ ABC , we have ,

As sum of two interior angles of a triangle is equal to the opposite exterior angle .

Also ,

( linear pair )

Hence from above two ,

Hence Proved !

Answer: m=-2/3

Y=-2

Equation=-2/3x-2

Step-by-step explanation:

M is the slope

Y is where it touches that y axis

Put it together

Answer:

first blank is x, and the second blank is -4x

and the equation is \(x^{2} =-4x\)

Step-by-step explanation:

If you simplify \(x^{2}-6=-4x-6\)

you would get \(x^{2} =-4x\) because you can bring the negative six onto the other side and it cancels there because it turns to a positive six so you get the equation \(x^{2} =-4x\).

1. Yearly total dividends paid are $151,250.

2. The dividends per share are $1.25 for common stockholders

3.  The dividends per share are $4 for preferred stockholders.

We must calculate amount of dividends paid to the preferred stockholders in order to get dividends per share for common and preferred stockholders.

The per dividends paid to the preferred stockholders is:

= $50 par value x 8% guaranteed rate of return

= $4 per share

The total dividends paid to preferred stockholders:

=  $4 per share x 5,000 shares

= $20,000

The per dividends paid to those stockholder is calculated as:

= Common stock + Preferred stock

= $1.25 per share + $4 per share

= $5.25 per share

The total dividends paid to common stockholders:

= $5.25 per share x 25,000 shares

= $131,250.

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Check the picture below, I'll be referring to the material in the picture.

we know the outer cube has a surface area of 24, we also know is a cube, so it has 6 equal sides which are squares each, let's say the side of one of those squares in the cube is say of length "s", so the area of one square will just be  s², and for 6 squares that'll be an area of 6s², that is the area of the outer cube, which we know is 24.

\(24=6s^2\implies \cfrac{24}{6}=s\implies 4=s^2\implies \sqrt{4}=s\implies 2=s\)

now, we know the sphere is inscribed in the outer cube, so it's touching its edges, like you see in the picture in blue, so if we get a cross-section of the whole lot, we'd get the picture to the right of blue cube in the picture, an outer cube with a side of 2, and therefore an sphere with a diameter of 2, and thus a radius of 1, as you can see in the red triangle.

Let's notice that the red triangle is a 45-45-90 triangle, and thus we can use the 45-45-90 rule to get its sides, as you can see in the picture on the far-right, which gives us half of one side of the inner cube to be 1/√2.

\(\stackrel{\textit{half a side}}{\cfrac{1}{\sqrt{2}}}\qquad \stackrel{\textit{a full side}}{\cfrac{1}{\sqrt{2}}+\cfrac{1}{\sqrt{2}}}\implies \cfrac{2}{\sqrt{2}}\implies \cfrac{2\sqrt{2}}{\sqrt{2}\sqrt{2}}\implies \cfrac{2\sqrt{2}}{2}\implies \sqrt{2}\)

now as you can see in the picture, the inner cube in orange, has 6 sides, each side is √2 long, so let's get the 6 squares area.

\(\stackrel{\textit{area of one square}}{\sqrt{2}\cdot \sqrt{2}\implies 2}\qquad \stackrel{\textit{area of all 6 sides of the inner cube}}{6\cdot 2\implies 12}\)

Answer:

x = 2

Perimeter of both = 16

Step-by-step explanation:

P(Left figure) = 2 * x + 2*6

P(Left figure) = 2x + 12

P(right figure) = 2*(2x + 2) + 2*x

P(right figure) = 4x + 4 + 2x

P(right figure) = 6x + 4

Now you want the perimeters to be the same

6x + 4 = 2x + 12                 Subtract 2 x from both sides

6x-2x + 4 = 12                   Combine

4x + 4 = 12                         Subtract 4  from both sides

4x-4  + 4 = 12 -4

4x = 8                                Divide by 4

4x/4 = 8/4

x = 2  

Answer:

40,20,10

Step-by-step explanation:

3. 640÷2=320, 360÷2=160, 160÷2=80 and so on

The length and width of the plot that will maximize the area is 60 meters by 120 meters. The largest area that can be enclosed is 7200 square meters.

To maximize the area of the rectangular plot, Farmer Ed must use 9000 meters of fencing to enclose three sides of the plot. The fourth side, which borders the river, does not need to be fenced. To find the length and width of the plot that will maximize the area, the 9000 meters of fencing must be divided into two sides of equal length, with the remaining fencing used for the third side. This results in a length of 120 meters and a width of 60 meters, which maximizes the area of the plot. The largest area that can be enclosed is 7200 square meters.

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Answer: 76 degrees

Step-by-step explanation:

Because the measure of an inscribed angle is half the measure of the central angle (where both angles intercept the same arc), the measure of angle U is 38(2)=76 degrees.

Answer:

The answer is B, the second one.

Answer:

its 1

Step-by-step explanation:

because u do distributive property then u combine like terms (combine the xs) then u get a 2 step equation and u solve tht then you get ur answer

Answer:

C. No Solution

Step-by-step explanation:

8x + 47 = 8(x+5)

8x + 47 = 8x + 40

-8x          -8x

47 \(\neq\)40

Since 47 isn't equal to 40, there is no solution.

Answer:

3360 quarts in 48 hours and also the rate per day is 1680 quarts

Step-by-step explanation:

Answer:

move the decimal point in 4.082 4 places to the left

Step-by-step explanation:

i hope this helps :)

Answer:

(-8)x(-8)x(-8)x(-8)x(-8)x(-8)x(-8)

Step-by-step explanation:

The answer is approximately 68% of the scores in a normally distributed set of data will fall within one standard deviation (-1 to +1) of the mean, according to the empirical rule.

According to the empirical rule, approximately 68% of the scores in a normally distributed set of data will fall within one standard deviation (i.e., within -1 to +1 standard deviation) of the mean. This is also known as the 68-95-99.7 rule or the three-sigma rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean. Approximately 95% of the data falls within two standard deviations of the mean. Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, the answer to the question is 68%.

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Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

It will take 15 months for the number of basic subscriptions to match the number of deluxe subscriptions.

Let's denote the number of months passed by "m".

In m months, the number of basic subscriptions will be 288 - 5m (since 5 basic subscriptions are decreasing each month), and the number of deluxe subscriptions will be 93 + 8m (since 8 deluxe subscriptions are increasing each month).

We want to find out when the number of basic subscriptions will match the number of deluxe subscriptions, so we can set the two expressions equal to each other:

288 - 5m = 93 + 8m

We can then solve for m:

288 - 93 = 8m + 5m

195 = 13m

m = 15

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The probability of F'UA is 0.9458.

According to the given data; the probability of ovont F is 0.2907, the probability of event A is 0.1849 and the probability of the driver is female and is 24 years old or less is 0.0542.

Here are the required probabilities;

a. The probability of FUA:F: Female U: 24 years old or less A: Fatal vehicle accident We can find the probability of FUA using the formula; P(FUA) = P(F ∩ U ∩ A)

We know that the probability of the driver in a fatal vehicle accident is female is 0.2907P(F) = 0.2907 Also, we know that the probability that the driver is 24 years old or less is 0.1849.P(U) = 0.1849

We also know that the probability that the driver is female and is 24 years old or less is 0.0542.P(F ∩ U) = 0.0542Now we can use the formula; P(FUA) = P(F ∩ U ∩ A)= P(F) x P(U) x P(A|FU)= 0.2907 × 0.1849 × (0.0542 / 0.2907)= 0.0542

So, the probability of FUA is 0.0542.

b. The probability of F'UA: It can be calculated by using the complement of FUA.P(F'UA) = 1 - P(FUA)= 1 - 0.0542= 0.9458

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Answer:

Step-by-step explanation:

Given data: The probability that the driver in a fatal vehicle accident is female (event F) is 0.2907. The probability that the driver is 24 years old or less (event A) is 0.1849. The probability that the driver is female and is 24 years old or less is 0.0542.

a) The probability of FUA is 0.4214.

b) The probability of F'UA is 0.5786.

a) The probability of FUA can be calculated as follows:

P(FUA) = P(F) + P(A) - P(F ∩ A) [By Addition Law], Where P(F) = 0.2907, P(A) = 0.1849, P(F ∩ A) = 0.0542.

By putting these values in the above equation we get:

P(FUA) = P(F) + P(A) - P(F ∩ A)

= 0.2907 + 0.1849 - 0.0542

= 0.4214

Therefore, the probability of FUA is 0.4214.

b) The probability of F'UA can be calculated as follows:

P(F'UA) = P(F' ∩ A') [By Complement Law], Where

P(F' ∩ A') = 1 - P(FUA)

= 1 - 0.4214

= 0.5786

Therefore, the probability of F'UA is 0.5786.

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Answer:

Area of the parallelogram = 107,555 square feet

Step-by-step explanation:

Let

h = height of the parallelogram

sin (112°) = h/200 feet

h = sin(112°) × 200

h = 0.927184 × 200

= 185.4368 feet

h = 185.44 feet

Area of the parallelogram = base × height

= 580 feet × 185.44 feet

= 107,555.2 square feet

To the nearest square root = 107,555 square feet

Area of the parallelogram = 107,555 square feet

The length of the gym in the drawing is 11 inches.

A scale drawing is a proportional rendering of a space or an item that is typically scaled down from the original. Scale drawings are frequently used in engineering, design, and architecture to conceptualise and plan constructions, buildings, and goods. They are also used in maps to portray a smaller area at a smaller scale. Scale drawings can also be utilised in educational settings, such math and art classes, to aid students in comprehending and visualizing geometric principles.

Given that, the scale of the drawing was 1 inch : 7 feet.

Thus,

1 inch / 7 feet = x inches / 77 feet

Using cross multiplication we have:

1 inch * 77 feet = 7 feet * x inches

77 inches = 7x

x = 77 / 7

x = 11

Hence, the length of the gym in the drawing is 11 inches.

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Answer:

line represented by the equation y=−12x−5 and passes through (6,−4) ... y−6=2(x+4) ... First find the slope m for the new line, rule for a perpendicular slope is: your equation is in slope intercept form y=mx+b : ... m=−12 so your new slope m'=−1−12=2 ... graph{y=-1/2x - 5 [-18.92, 21.08, -14.56, 5.44]}.

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a² + b² = c² is true for the first triangle but false for the second triangle.

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):

a² + b² = c²

Where:

a, b, and c represents the length of sides or side lengths of any right-angled triangle.

By substituting the given parameters into the formula for Pythagorean's theorem, we have the following;

a² + b² = c²

4² + 2² = c²

c² = 16 + 4

c = √20 or 2√5 units.

a² + b² = c²

5² + 2² = (√45)²

45 = 25 + 9

45 = 34 (False).

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The solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

To solve the given differential equation y''(t) = 1 - t^17 with the initial condition y(1) = 12, we can integrate the equation twice.

Integrating the equation once will give us y'(t):

y'(t) = ∫(1 - t^17) dt

y'(t) = t - (1/18)t^18 + C₁

Now, we need to apply the initial condition y(1) = 12 to determine the value of the constant C₁:

12 = 1 - (1/18) + C₁

C₁ = 12 + (1/18) - 1

C₁ = 217/18

Next, we integrate y'(t) to find y(t):

y(t) = ∫(t - (1/18)t^18 + 217/18) dt

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + C₂

Finally, we apply the initial condition y(1) = 12 to determine the value of the constant C₂:

12 = (1/2) - (1/342) + (217/18) + C₂

C₂ = 12 - (1/2) + (1/342) - (217/18)

C₂ = (20619 - 1 + 6 - 819)/(342)

C₂ = 19805/342

Therefore, the solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

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The uncertainty in the best estimate for the length of the side of the block is approximately 0.0447 mm.

To determine the uncertainty in the best estimate for the length of the block side, we can consider the range of values obtained from the measurements. Since the uncertainty represents the possible deviation from the true value, the range of measurements can be used to estimate the uncertainty in the best estimate

To find the standard deviation represents the average amount of variation or spread among the measurements , we use the formula σ = Δb / √n, where σ is the standard deviation, Δb is the uncertainty in each measurement, and n is the number of measurements.

In this case, Δb = 0.1 mm and n = 5. Plugging these values into the formula, we get σ = 0.1 / √5 ≈ 0.0447 mm.

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In terms of ethnicity, Nailah would be treated as multiracial.

Given,

Ten year old Naliah born in california .

Ethnicity,

It is based on few factors namely: culture, religion, language, and ancestry.

Now,

Ten-year-old Nailah was born in California, where she still lives.

Both of her maternal grandparents are of African heritage. Her paternal grandmother is Native American, and Her paternal grandfather emigrated from France.

Therefore, Nailah would be considered as a multiracial individual which includes multiple racial categories.

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Nailah would be considered of mixed ethnicity or multiracial due to her African, Native American, and French heritage.

We have,

Nailah's ethnicity would be considered mixed or multiracial because she has ancestry from multiple ethnic backgrounds.

In this case, her maternal grandparents' African heritage, her paternal grandmother's Native American heritage, and her paternal grandfather's French heritage all contribute to her diverse ethnic background.

This means that Nailah's heritage encompasses different racial and cultural identities, reflecting her diverse family background and lineage.

It is important to recognize and celebrate the unique ethnic heritage of individuals like Nailah, as it contributes to the rich tapestry of human diversity.

Thus,

Nailah would be considered of mixed ethnicity or multiracial due to her African, Native American, and French heritage.

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