determine the mean of the following numbers:2,3, 4, 4, 5.

Answer:

12

Step-by-step explanation:

the answer is in the photo

Answer:

\(\textbf3/10}\)

Step-by-step explanation:

→We can write 9 as \(3^{2}\) And 100 can be written as \(10^{2}\)

→Now we take the square root of the two we get \(\sqrt{3} ^{2} /10^{2}\)

→ Then We get the Answer \(\textbf{3/10}\)

\(\textbf{therefore, the square root of 9/100 is 3/10}\)

\(\textbf{-Cherry-}\)

Answer:

3/10

Step-by-step explanation:

Julio will be 30 years old when his father is twice his age.

To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.

Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.

For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.

Setting up an equation to solve for x:

x + 30 = 2x

Simplifying the equation, we subtract x from both sides:

30 = x

Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.

Therefore, Julio will be 30 years old when his father is twice his age.

Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?

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Answer:

k+5/ k-2 it's the second one

Step-by-step explanation:

just trust me

Answer:

e(x)

Step-by-step explanation:

i think this is the answer

The circumference of a circle = pi x diameter

Circumference = 3.14 x 32 = 100.48 meters (rounded to two decimal places)

The farmer needs to build a fence around the edge of the field, which has a circumference of 100.48 meters. So the total length of fence needed is 100.48 meters.

Each meter of fence cost £15.95, therefore the cost of building the entire fence can be calculated as:

Total Cost = Length of fence x Cost per meter of fence Total Cost = 100.48 x £15.95 Total Cost = £1601.08

Therefore, it would cost the farmer a total of £1601.08 to build a fence around the edge of the circular field.

Answer:

$1603.47

Step-by-step explanation:

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

answer is b

Step-by-step explanation:

the original function was y=|x|

then |x+2| shifts graph vertex to (-2,0)

then |x+2|-3 shifts graph vertex to (-2,-3)

so , range of the new function would be -3 to positive infinity

Answer:

The length of the legs of the triangle is 8 units.

Step-by-step explanation:

45-45-90 triangle

A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:

\(2l^2 = h^2\)

Hypothenuse of 8 V2

This means that \(h = 8\sqrt{2}\)

So

\(2l^2 = h^2\)

\(2l^2 = (8\sqrt{2})^2\)

\(2l^2 = 64*2\)

\(l^2 = 64\)

\(l = \sqrt{64}\)

\(l = 8\)

The length of the legs of the triangle is 8 units.

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Step-by-step explanation:

5/8 hr = 5/9 mile

1 hr = 5/9 ÷ 5/8

= 8/9 mile

Speed = distance / time

= 5/9 mile / 5/8 hr

= 8/9 miles per hr?

Answer: 0.4575

Step-by-step explanation:

.915/2

Answer:

none of the answer choices

Step-by-step explanation:

a² + b² = c²

(√28)² + 6² = c²

28 + 36 = c²

c² = 64

√(c²) = √64

c = 8

Answer: none of the answer choices

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Hey!

For any graphing calculator problems I would recommend using desmos if your teacher allows it or getting a graphing calculator such as a ti-nspire :)

This way, it will be able to graph and get the answers quicker!

The answers to this question is (37.5,15) and (0,60). To find your answers when you graph always look for where the lines intersect. If the lines do not intersect then it is not one of your answer choices. (examples are below).

For a large sample size (greater than 30), distribution is normal.

An insurance company claims that in the population of homeowners, the mean loss and standard deviation from fire is

μ = $250

o = $5000

The distribution of loss is strongly right skewed.

a). Since for a simple random sample of size n= 15 drawn from  the population of homeowners.

Since the given sample size is small. Therefore for small sample size less the 30 the distribution of

follow t- distribution.

Since t distribution has more variance than normal distribution.

Also t- distribution is symmetric as normal distribution at t=0.

For small sample size sampling distribution is t -distribution.

b). Now if the simple random sample of size n = 10000 drawn from the population of homeowners.

Thus for the large sample size and given mean and standard deviation sampling distribution of x follow normal distribution. Also we know that normal distribution have a bell-shaped curve which is symmetric to z=0.

For a large sample size (greater than 30), distribution is normal.

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Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Therefore, the school spent $28.36 on a pass and lunch for each student.

The term "cost" typically refers to the amount of resources, usually money, time, or effort, that is required to produce or obtain something. It is the expense incurred in order to achieve a particular goal or outcome.

cost can be further classified into different types, such as fixed costs (expenses that do not change regardless of the level of production), variable costs (expenses that change depending on the level of production), and opportunity costs (the cost of the next best alternative that is forgone when choosing a particular course of action).

First, we need to find the total number of people who need passes for the zoo.

30 students + 2 teachers = 32 people in total

The cost of the passes for 32 people is $634.24, so the cost per person is:

$634.24 ÷ 32 = $19.82 per person

Next, we need to find the cost of lunch per student. We know that the school spent $256.20 on lunch for just the students, so:

$256.20 ÷ 30 students = $8.54 per student

Finally, we can add the cost of the pass and the cost of lunch together to find the total cost per student:

$19.82 (pass) + $8.54 (lunch) = $28.36

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The slope of line h that is perpendicular to line g is: -4/3.

The slope values of any two lines that are perpendicular to each other are values that are negative reciprocals to each other.

The equation of of line g is given as y = 3/4x + 3/4, it is expressed in slope-intercept form as y = mx + b. This means that the value of the slope of line g is 3/4.

The negative reciprocal of 3/4 is -4/3. Therefore, the slope of line h that is perpendicular to line g would be -4/3.

The slope of line h is: -4/3.

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Answer:

120

Step-by-step explanation:

so volume = l*w*h

= 120

if my answer helps please mark as brainliest.

Answer:

120³

Step-by-step explanation:

Hi!

This is very easy you just need to know the formula for finding the area of a rectangular prism. I attached something to help you with that but I also have an explanation.

The formula to find the area of a rectangular prism is L x W x H,

or in full words Length x Width x Height.

So now lets see what the problem has given us so we can plug things in.

Length = 4

Width = 3

Height = 10

Wow, it gives us all of it!

So now we just have to plug these numbers into the equation and solve.

So :

Length x Width x Height

   4       x     3    x     10

Now we solve it :

4 x 3 = 12

And then we take 12 and multiply it by the last 10 in the equation.

12 x 10 = 120

And that is your answer, the volume of the rectangular prism!

Make sure to add a ³ after the 120 like so :

120³

This tiny 3 represents volume in math since the shape is 3D.

And if there are units of measurement involved like feet or inches make sure to put that in there as well like so :

120 feet³

I hope this helps!

If you have any questions or concerns please comment or feel free to message me! :)

Answer:

Step-by-step explanation:look it up

Therefore, the correct response From these integral is option D   is.  

``` 10 + ∫₅¹  R(t) dt

An integral is a mathematical construct in mathematics that can be used to represent an area or a generalization of an area. It computes volumes, areas, and their generalizations. Computing an integral is the process of integration.

Integration can be used, for instance, to determine the area under a curve connecting two points on a graph. The integral of the rate function R(t) with respect to time t can be used to describe how much water is present in a tank.

The following equation can be used to determine how much water is in the tank at time t = 5 if there are 10 gallons of water in the tank at time t = 1.

``` 10 + ∫₅¹  R(t) dt

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According to the discrete distribution given, it is found that the expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.

The discrete distribution given is:

\(P(X = 0) = 0.3\)

\(P(X = 10) = 0.5\)

\(P(X = 20) = 0.15\)

\(P(X = 30) = 0.05\)

The mean of a discrete distribution is the sum of each outcome multiplied by it's respective probability, hence:

\(E(X) = 0(0.3) + 10(0.5) + 20(0.15) + 30(0.05) = 9.5\)

The expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.

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Answer: 9.5

Step-by-step explanation:

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

1. H=6

2. Y= -1

3. T= 2

4. D= 2.1

5. K= 0

6. -13 1/3

Step-by-step explanation: