the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3996 grams and a variance of 111,556 . if a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4664 grams. round your answer to four decimal places.

Answer:

x-intercept = (-9,0)

y-intercept = (0,27)

Step-by-step explanation:

So first we will convert 9x - 3y = -81 into slope intercept form (y=mx+b).

Subtract 9x on both sides to get -3y = -9x -81. Next divide -3 on both sides to get y = 3x + 27.

Since b is the y-intercept, in y=mx+b and 27 is in the position of b, we can already tell that 27 is the y-intercept. So we will write it as (0,27) because coordinates are supposed to be written as (x,y).

Now in order to find the x-intercept, we will have to plug in 0 for y, in the original equation, so we can solve for x.

So we have: 9x -3(0) = -81

Since 3 × 0 = 0, we now have 9x - 0 = -81. So next we add 0 on both sides to get 9x = -81, and then we divide by 9 to get x = -9. So we will write this as (-9,0).

Hope this helps you :)

Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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There will always be at least two blue balls that are adjacent to each other.

To show that no matter how the balls are arranged, after they are painted, there will always be at least two blue balls that are adjacent to each other, we can use the Pigeonhole Principle.

First, let's consider the worst-case scenario, which is when the blue balls are arranged such that they are as spread out as possible. In this case, we can imagine that the 15 white balls are arranged in a straight line, with 7 blue balls and 8 green balls interspersed in such a way that there are no two blue balls that are adjacent to each other.

Now, let's place each of the 7 blue balls in a pigeonhole that corresponds to their position in the line. Specifically, the first blue ball goes in the first pigeonhole, the second blue ball goes in the second pigeonhole, and so on, until the seventh blue ball goes in the seventh pigeonhole.

Since there are only 7 pigeonholes and 7 blue balls, at least one pigeonhole must contain two blue balls. And since the only way for two blue balls to be in the same pigeonhole is for them to be adjacent to each other in the line, we have shown that no matter how the balls are arranged, after they are painted, there will always be at least two blue balls that are adjacent to each other.

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Answer: 24

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This looks like a case of multiplying the number of X's by the respective number below it.

For example: the 1/2 has 3 X's, so we multiple (1/2)(3), making it (3/2) or 1.5

Next is the 1 having 2 X's, so (2)(1) is 2

Continuing that trend we get the following

1.5, 4, 2.5, and 3.

So all of our totals are 1.5, 2, 1.5, 4, 2.5, and 3.

Our last step will be adding all these answers together.

1.5 + 2 = 3.5

+ 1.5 = 6

+ 4 = 10

+ 2.5 = 12.5

and finally +3 = a grand total of 15.5 or 15 1/2

Answer:

he can run \(13\frac{7}{16}\) in an hour

Step-by-step explanation:

Your question is already answered here!

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Fred can run 515/4 laps in one hour.we'll set up a proportion to solve for the number of laps in one hour.

You want to find out how many laps Fred can run in one hour, given that he can run 103/4 laps in 4/5 of an hour. Here's a step-by-step explanation:
First, we'll set up a proportion to solve for the number of laps in one hour. Let "x" represent the number of laps Fred can run in one hour. Our proportion will look like this:
(103/4 laps) / (4/5 hour) = (x laps) / (1 hour)
Next, we'll cross-multiply to solve for x:
(103/4 laps) * (1 hour) = (4/5 hour) * (x laps)
Multiply both sides of the equation:
103/4 * 1 = 4/5 * x
Now, simplify the equation:
103/4 = (4/5)x
To isolate x, multiply both sides of the equation by the reciprocal of 4/5, which is 5/4:
(5/4) * (103/4) = (5/4) * (4/5)x
Simplify and solve for x:
(5 * 103) / 4 = x
515 / 4 = x
So, Fred can run 515/4 laps in one hour.
In conclusion, Fred can run 515/4 laps in one hour.

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Answer:

The overall change in temperature over the time period ∆T = -12.6°F

Step-by-step explanation:

Rate of change of temperature r = -2.8°F per hour

Time t = 4.5 hours

The overall change in temperature ∆T = Rate of change of temperature × time period

∆T = r × t

∆T = -2.8°F per hour × 4.5 hours

∆T = -12.6°F

The overall change in temperature over the time period is -12.6°F

Answer: -12.6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The surface area of the given pyramid is equivalent to 760 square inches.

The surface area of a figure is the sum of the area of the surfaces of such figure.

The given pyramid is made up of 5 big rectangles and 2 small rectangles

Surface area = Area of 4 large rectangles + 2(area of small rectangles)

Surface area = 2(22 * 10) + 2(22 * 5) + 2(10 * 5)

Surface area = 440 + 220 + 100

Surface area  = 760 square inches

Surface area = 760 square inches

Hence the surface area of the rectangular based pyramid is 760 square inches

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Answer:

q < 3

Step-by-step explanation:

2(q–8)<–10

Divide each side by 2

2/2(q–8)<–10/2

q-8 < - 5

Add 8 to each side

q-8+8 < - 5+8

q < 3

Answer:

\( = q < 3\)

Step-by-step explanation:

\(2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 +1 6 \\ 2q < 6\\ \frac{2q}{2} < \frac{6}{2} \\ = q < 3\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

option 2: \(\frac{9}{41}\)

Step-by-step explanation:

SOH CAH TOA

cos = \(\frac{adjacent}{hypotenuse}\)

cos A = \(\frac{9}{41}\)

The probability that the center is up when the person’s call comes in is 2/5

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Solution:

Let us consider a random variable Y it presents the number of person’s call comes when center is up. Beginning at 12:00 midnight, a computer center is up for 1 hour and then down for 2 hours on a regular cycle.

We need to find  the probability that the center is up when the person’s call comes in.

Let 12:00 midnight be ‘a = 0’, then we will have ‘b = 5’, therefore f(y) = 1/5

For beginning of a = 0, the computer is up for 1 hour, so P(0<Y<1)

The computer is down for 2 hours and then up for another one hour, so P(3<Y<4)

Hence,

The probability that the center is up when the person’s call comes in is given by:

P(0<Y<1) + P(3<Y<4) = ∫f(y) dy + ∫f(y) dy

= (1/5)y + (1/5)y

= (1/5)((1-0)+(4-3))

= 2/5

Therefore, The probability that the center is up when the person’s call comes in is 2/5

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Answer:

P^2×P^n=p^6

p^2+n=p^6

2+n=6

n=6-2

n=4

Answer:

11 and 12, closest to 11

Step-by-step explanation:

The square root of 130 falls between 11 and 12

Since 11 squared is 121 and 12 squared is 144.

130 is closer to 121, making it closer to 11 than to 12.

Hope this helps :)

Answer:

5

Step-by-step explanation:

since 30-60-90 triangles are special right triangles, we know that if the short leg=x, the long leg= xsqrt(3). so the short leg= 5 sqrt(3) /(sqrt(3) = 5

will recommend to keep in touch with picture as name of sides are based on it!.

It may not get messy so i will divide whole answer into small parts.

Now Let's move to solution :)

\( \\ \\ \)

\( \gray{ \bf \dag \frak{Part 1}}\)

In this part we will just focus on Semicircle with diameter 22 ft.

Given :-

\( \\ \)

To find:-

\( \\ \)

So first of all let's convert diameter into radius.

we know:-

\( \boxed{ \rm{}radius = \frac{Diameter}{2} }\)

So:-

\( \\ \)

\( \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} \)

\( \\ \)

\( \hookrightarrow\sf{}radius = \dfrac{22}{2} \)

\( \\ \)

\( \hookrightarrow\sf{}radius = \dfrac{2 \times 11}{2} \)

\( \\ \)

\( \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 11}{\cancel2} \)

\( \\ \)

\( \hookrightarrow\sf{}radius = \dfrac{11}{1} \)

\( \\ \)

\( \hookrightarrow\sf{}radius = 11\)

\( \\ \\ \)

Now let's find area of semicircle!

We know:-

\( \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }\)

\( \\ \)

so:-

\( \\ \)

\( \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\pi {r}^{2} }{2} \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of~semicircle _1= \dfrac{22 \times {11}^{2} }{7 \times 2} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\cancel{22} \times {11}^{\cancel2} }{7 \times \cancel2} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of~semicircle _1= \dfrac{11\times {11}^{\cancel2} }{7} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of~semicircle _1= \dfrac{1331}{7} \\ \)

\( \\ \\ \)

\( \dashrightarrow\bf Area~of~semicircle _1= 190.14 \\ \)

\( \\ \\ \)

\( \gray{ \bf \dag \frak{Part 2}}\)

So in this part we will find area of other semicircle.

Now as u can see BC isn't given , but AC and AB are given.

So let's find BC:-

\( \\ \)

Now we got the diameter, so let's change it into radius.

we know:-

\( \boxed{ \rm{}radius = \frac{Diameter}{2} }\)

\( \\ \)

so :-

\( \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} \)

\( \\\)

\( \hookrightarrow\sf{}radius = \dfrac{8}{2} \)

\( \\ \)

\( \hookrightarrow\sf{}radius = \dfrac{2 \times 4}{2} \)

\( \\ \)

\( \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 4}{\cancel2} \)

\( \\ \)

\( \hookrightarrow\sf{}radius = 4\)

\( \\ \)

Now let's find area of semicircle!

We know:-

\( \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }\)

\( \\ \)

\( \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\pi {r}^{2} }{2} \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of~semicircle _2= \dfrac{22 \times {4}^{2} }{7 \times 2} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\cancel{22} \times {4}^{\cancel2} }{7 \times \cancel2} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times {4}^{2} }{7} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times 16}{7} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of~semicircle _2= \dfrac{176}{7} \\ \)

\( \\ \\ \)

\( \dashrightarrow\bf Area~of~semicircle _2= 25.14 \\ \)

\( \\ \\ \)

\( \gray{ \bf \dag \frak{Part 3}}\)

Now Finally in this part we'll add both the areas of these semicircles.

Let :-

\( \\ \\ \)

\( \sf: \implies Area~of~figure=A_1+A_2 \\ \)

\( \\ \\ \)

\( \sf: \implies Area~of~figure=190.14+25.14 \\ \)

\( \\ \\ \)

\( \bf: \implies Area~of~figure=215.28 {ft}^{2} \\ \)

\( \\ \\ \)

Answer:

$216

Step-by-step explanation:

Do \(\frac{20}{100}\) = 0.2. Now you do 270 x 0.2, which equals 54. Finnaly you do 270-54, which equals 216. So now you have your answer.

Answer:

C

Step-by-step explanation:

It would take more than 291 hours (or approximately 12 days) for everyone to get a picture, assuming they all took the full allotted time of 15 seconds.

This is because 70,000 people multiplied by 15 seconds per picture equals 1,050,000 seconds in total.

1,050,000 seconds is equal to approximately 17,500 minutes, or 291.67 hours.

In other words, it would take more than 291 hours (or approximately 12 days) for everyone to get a picture, assuming they all took the full allotted time of 15 seconds.

However, it is important to note that this is an estimate and there are other factors to consider.

For example, not everyone may want to take a picture, some people may take longer or shorter than 15 seconds, and there may be logistical factors such as crowd control and organization that could impact the time it takes for everyone to get a picture.

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For the display of the alphabet " BABA", we shall use encoding.= 1 0 1 0.

This is further explained below.

Generally, An alphabet is a standardized collection of fundamental written symbols or graphemes that represent the phonemes of particular spoken languages. These phonemes are called phonemes.

In conclusion, in the LZW compression format, we have the alphabets [A, B, and C].

Therefore, with the assistance of bits 0 and 1, we are able to represent A as the value 0, and B as the value 1.

A = 0, B= 1

Therefore, in order to express BABA, we shall use encoding.= 1 0 1 0.

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Answer:

182

Step-by-step explanation:

260 x 30% = 78

260 - 78 = 182

The exterior angle is m∠4  =  111.3 of the triangle which has m∠1 = 67.3, and m∠3 = 44.

What is the exterior angle?

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.

we have,

m∠1 = 67.3, m∠3 = 44, and m∠4 = ?

We know that,

          The exterior angle is the sum of the interior opposite angles.

            m∠4  = m∠1 + m∠3

            m∠4  = 67.3 + 44

            m∠4  = 111.3

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore, the exterior angle is m∠4  =  111.3 of the triangle which has m∠1 = 67.3, and m∠3 = 44.

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Answer:

102.5

Step-by-step explanation:

Answer: No because 7^2 + 12^2 doesn’t equal 14^2

Step-by-step explanation:

7^2 + 12^2 equals 193. But 14^2 = 196 so the answer is no.

The white cylindrical silo has a diameter of 30 feet, which means the radius is 15 feet. The height of the silo is 80 feet. The area of the red stripe on the cylindrical silo is approximately 565.5 square feet.

A red stripe with a horizontal width of 3 feet is painted on the silo, making two complete revolutions around it. This means the total length of the red stripe is 2 times the circumference of the base of the silo plus 2 times the circumference of the top of the silo. The circumference of the base of the silo is 2 times pi times the radius, which is 2 x 3.14 x 15 = 94.2 feet.
The circumference of the top of the silo is also 94.2 feet
So the total length of the red stripe is 2 x 94.2 + 2 x 94.2 = 376.8 feet.  The horizontal width of the red stripe is 3 feet, so the area of the red stripe is 376.8 x 3 = 1130.4 square feet.
To find the total surface area of the silo, we need to find the area of the two circular ends and the area of the curved surface. The area of each circular end is pi times the radius squared, which is 3.14 x 15 x 15 = 706.5 square feet.
The area of the curved surface is the product of the height, the circumference, and 2 (since there are two sides), which is 80 x 94.2 x 2 = 15,088 square feet.
So the total surface area of the silo is 2 x 706.5 + 15,088 = 15,501 square feet.
Therefore, the area of the red stripe as a percentage of the total surface area of the silo is (1130.4/15,501) x 100% = 7.29%.

A white cylindrical silo has a diameter of 30

feet and a height of 80

feet. A red stripe with a horizontal width of 3

feet is painted on the silo, as shown, making two complete revolutions around it. What is the area of the stripe in square feet?

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Answer:

your answer is 3

Step-by-step explanation:

36 divide by 3 = 12 and 12 divide by 2 = 6 and 6 divide by 2 = 3

The numbers on the mailboxes represent categorical data.

Categorical data are also known as qualitative data. It is a type of that can only take on a fixed number of values. An example of categorical data is gender. One can either be a male or a female.

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Part A

\(C=175(13)+3500=\boxed{\$5775}\)

Part B

\(7875=175n+3500 \\ \\ 4375=175n \\ \\ n=\boxed{25}\)

Considering the quarter of circle in the image, the arc length is solved to be 1.57 units

Information from the problem is

radius = 1 units

angle = 90 degrees

The formula for arc length is

= angle / 360 * 2 * π * r

plugging in the values

= 90 / 360 * 2 * 3.14 * 1

= 1.57

hence the arc length is 1.57 units

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