Sam wants to fill his ball up with air.If the ball has a diameter of 13 inches, how much air will it hold? Round to the nearest tenths

Answer:

0.33411

The probability that a particular criminal trial lasted atleast 24 days is 0.33411

Step-by-step explanation:

The random variable X is normally distributed with a mean of 21 and standard deviation of 7

;

X ~ N(μ = 21 ; σ = 7)

X ~ N(21, 7)

Probability that a trial lasted atleast 24 days :

P(X ≥ 24) :

The standardized score :

Z = (x - μ) / σ ; (24 - 21) / 7 ; 3 / 7 = 0.4286

Hence,

P(Z ≥ 0.4286) = 0.33411

The probability that a particular criminal trial lasted atleast 24 days is 0.33411

Answer:

Step-by-step explanation:

6

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

Answer:

The null hypothesis is  \(H_o : \mu = 28.1\)

 The alternative hypothesis is  \(H_a : \mu < 28.1\)

Step-by-step explanation:

From the question we are told that

   The population mean at 1960 - 1962 is  \(\mu_1 = 25.0\)

    The population mean at 1999- 2002 is  \(\mu_2 = 28.1\)

     The sample size is  n=  1034

     The sample mean is  \(M = 28.9\)

 The null hypothesis is  \(H_o : \mu = 28.1\)

 The alternative hypothesis is  \(H_a : \mu < 28.1\)

Answer:

Step-by-step explanation:

What is a rectangular prism?

A right rectangular prism is a box-shaped object, that is, a 3-dimensional solid which has six rectangular faces. Rectangular prisms can also be oblique - leaning to one side - but the side faces are parallelograms, not rectangles. A right rectangular prism is also called a cuboid, box, or rectangular hexahedron. Moreover, "rectangular prism" and "right rectangular prism" are often used interchangeably.

The most common math problems related to this solid are of the type right rectangular prism calc find V or find A, where the letters stand for the Volume and Area, respectively. Let's see the necessary rectangular prism formula and learn how to solve those problems quickly and easily.

How do I find the volume of a rectangular prism?

The rectangular prism volume formula is:

volume = h × w × l,

where h is prism height, w is its width, and l is its length. To calculate the volume of a cardboard box:

Find the box length. For example, it can be equal to 18 in.

Determine its width. Let's say you measured 12 in.

Find out the rectangular prism height. Assume it's 15 in.

Calculate the cuboid volume. Using the rectangular prism volume formula above, we get volume = (18 × 12 × 15) in = 3240 in³.

How do I find the area of a rectangular prism?

The surface area of the cuboid consists of 6 faces - three pairs of parallel rectangles. To find the rectangular prism surface area, add the areas of all faces:

surface_area = 2 × (h × w) + 2 × (h × l) + 2 × (l × w) = 2 × (h × w + h × l + l × w),

where h is prism height, w is its width, and l is its length.

Let's see an example of how to solve the right rectangular prism calc - find A problem. We'll come back to our example with the box and calculate its surface area:

Calculate the rectangular prism surface area. First rectangle area is 15in × 12in = 180in², second 15in × 18in = 270in² and third one 18in × 12in = 216in². Add all three rectangles' areas - it's equal to 666 in² (what a number!) - and finally multiply by 2. The surface area of our cardboard box is 1332in².

Or save yourself some time and use our rectangular prism calculator.

Finally, let's attack the right rectangular prism calc find d (that is, the diagonal) type of problem.

How do I calculate the diagonal of a rectangular prism?

To determine the diagonal of a rectangular prism, apply the formula:

diagonal = √(l² + h² + w²)

where h is prism height, w is its width, and l is its length.

Do you have the feeling that you saw the formula before? Yes, that's possible because this equation resembles the famous one from the Pythagorean theorem.

The calculated bill for a person who uses 600kWh in a month is $80

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

b(x) = 0.10x, x ≤ 200

b(x) = 0.15(x - 200) + 20, x > 200

For a person that uses 600kWh per month, we make use of the function

b(x) = 0.15(x - 200) + 20

This is because it is valid for x > 200

Substitute the known values in the above equation, so, we have the following representation

b(600) = 0.15(600 - 200) + 20

Evaluate

b(600) = 80

Hence, the bill for a person who uses 600kWh in a month is $80

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Answer:

Answer = 14. 2

Step-by-step explanation:

Area of rectangle = length x breath

So, area here is = 49.7 cm2

Breath = 3.5 cm

49.7 = length x 3.5

Length = 49.7 ÷ 3.5

Length = 14.2 cm

The probability that the second ball is red is 11/25 .

IN THE EVENT OF SELECTING THE FIRST BALL

- The probability of selecting white ball is P(W) = 2/5

- Probability of selecting red ball is P(R) = 3/5

IN THE EVENT OF SELECTING THE SECOND BALL

P(R|W) = 1/2

P(R|R) = 3/5

So the probability of selecting a red ball as the second is

P(R2) = P(R|W)P(W) + P(R|R)P(R)

= (1/2)(2/5) + (2/5)(3/5)

= 1/5 + 6/25

= 11/25

The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.

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Answer:

660 ways

Step-by-step explanation:

we have two numbers in consecutive positions in this question

(1,1) and (2,2)

numbers of ways that (1,1) are in consecutive positions = 6!/2! = 360

number of ways that (2,2) are in consecutive positions = 6!/2! = 360

the permutation of (11),(22),3,4,5 = 5!

ps: I counted the pairs as one each.

5! = 120

to get total number of permutations

7!/2!2!

= 5040/4

= 1260

the number of ways that 2 identical digits are not consecutively positioned = 1260-360-360+120

= 660 ways

Answer:

f(-4) = 6

f(0) = -6

f(1) = -4

Step-by-step explanation:

45.455% is  the percentage of distance travelled by her in the train .

In math, what is a distance?

The length of the line segment connecting the two sites is used to measure distance between them.

                               The shortest segment of a line connecting a point to a line will have a length equal to the distance between them.

Distance travelled by bus = 3 miles

Distance travelled by train  = 5 miles

Distance travelled by car = 3 miles

Total distance travelled = 3 + 5 + 3 = 11 miles

the percentage of distance travelled by her in the train = 5/11  * 100

                                             = 45.455%

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Check the picture below.

The number of rooms booked produces the maximum revenue is 600.

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Here the total revenue function is,

R(x) = 300x-0.25\(x^2\)

Here a = -0.25 and b= 300. Then,

The maximum revenue occurs at -b/2a then,

=> \(\frac{-300}{2\times-0.25}\)

=> 300/0.5

=> 600

Hence number of rooms booked produces the maximum revenue is 600.

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Answer:

715,340 > 715,034

Step-by-step explanation:

Answer:

$14,080

Step-by Step Explanation:

Answer:

$14,080

Step-by-step explanation:

Hope this helps.

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

On the translation of △ABC to △A′B′C′, the rule applied to the vertices is:

(x,y) -> (x + 4, y).

Hence it was translated 4 units right.

On the translation of △A′B′C′​ to △A′′B′′C′', the rule is given by:

(x,y) -> (-y,x).

Hence it was rotated 90 degrees counterclockwise about the origin.

The triangle keeps the same size after the translations, hence:

Because the transformations are both rigid, the pre-image and the image are congruent.

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Answer:

4.2 kilometers

Step-by-step explanation:

3/5 simplified =.6 each day .6 x7 days =4.2 kilometers

Answer:

Slope= -(3x)/2

Step-by-step explanation:

Since the line is parallel it means it looks like the first line, so they are going the same rate. So they are the same like but with different y intercepts because they started at different places on the graph. But because it’s the same line, both lines have the same slope :)

The volume of the box is 99 unit cubes.

A cube is a three-dimensional object that has six faces, twelve edges and eight vertices. The length, width and height of a cube usually has equal dimensions. The volume of the box is a function of the dimension of the cubes in it and the number of layers.

Volume of a box = number of layers x amount of units

9 x 11 - 99 unit cubes

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There are 14 dogs and 46 chickens in the farmyard.

The supposition that there are d dogs and c chickens.

Each chicken has two legs, but each dog has four.

Consequently, the total number of legs may be written as follows:

4d + 2c

Since we are aware that there are 148 legs in total, we can construct the following equation:

4d + 2c = 148

We may create another equation since we know that there are a total of 60 heads (dogs and chickens):

d + c = 60

Now that we have two equations with two variables, we may answer them both at the same time.

2d + 2c = 120 is the result of multiplying the second equation by two.

When we deduct this from the first equation, we obtain 2d = 28.

So, d = 14.

Reintroducing this into the second equation, we get:

14 + c = 60

So, c = 46.

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Answer:

18

Step-by-step explanation:

Divide 90 by 5

Answer:

Non Linear and decreasing

Step-by-step explanation:

The line is a bendy line that goes down. A linear line is a line that goes straight forever. Because it goes down, it is decreasing. Therefore, it is non linear and decreasing.

If this helps please mark as brainliest ( i dont know why my answer was removed)

we have the following:

the inverse is:

The option C, “because 0 is in this interval, we cannot conclude that there is a difference in newspaper reading, on average, for females and males” is correct.

In the given question, the UGA Journalism Department is interesting in determining if there is a significant difference in the number of hours, on average per week, that UGA males and UGA female students spend reading any online or printed newspaper.

Randomly selected students at UGA were asked how many hours per week they read any online or printed newspaper, their age, and gender. The 95% confidence interval for reading newspapers on μ(F)-μ(M) is (-1.1, 1.3).

1) We have to interpret this confidence interval. The given options are:

• Because 0 is not in this interval, we cannot conclude that there is a difference in newspaper reading, on average, for females and males.

• Because 0 is not in this interval, we can conclude that there is a difference in newspaper reading, on average, for females and males.

• Because 0 is in this interval, we cannot conclude that there is a difference in newspaper reading, on average, for females and males.

• Because 0 is in this interval, we can conclude that there is a difference in newspaper reading, on average, for females and males.

Since there interval was given.

The given interval for the 95% confidence interval for reading newspapers on μ(F)-μ(M) is (-1.1, 1.3).

Since the value of interval is between -1.1 and 1.3. So 0 is in this interval. So we cannot conclude that there is a difference in newspaper reading, on average, for females and male.

So the option C, “because 0 is in this interval, we cannot conclude that there is a difference in newspaper reading, on average, for females and males” is correct.

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The ratio of the areas of the two circles equals the square of the ratio of their radii:  = 1/4

Let O1 be the center of the larger circle and O2 be the center of the smaller circle. T is the tangent point between the two circles.

The distance between their centers, O1O2, is equal to the sum of their radii, i.e., r1 + r2.

The Pythagorean theorem gives us:

(O1O2)^2 = r1^2 + r2^2

By substituting r1, r2, and O1O2 values, we obtain:

(r1 + r2)^2 = r1^2 + r2^2

By broadening and simplifying, we get:

2r1r2 = r2^2

When both sides are divided by r22, we get:

2r1/r2 = 1

So, r1/r2 = 1/2. r2 = 2r1.

The ratio of the areas of the two circles equals the square of the ratio of their radii:

A1/A2 = (r1/r2)^2 = 1/4

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Answer:

ansber 5 good by. ............