How much greater is 3000 then 1?

The percentage of the students are between 62 and 69 inches tall is 46.0%

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

Mean = 69

Standard deviation = 4

Scores = between 62 and 69

So, the z-scores are

z = (62 - 69)/4 = -1,75

z = (69 - 69)/4 = 0

i.e. between a z-score of -1.75 and a z-score of 0

This is represented as

Probability = (-1.75 < z < 0)

Using a graphing calculator, we have

Probability =  0.45994

Approximate

Probability =  46.0%

Hence, the probability is 46.0%

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The correct option for the approximate value of -12 + √32  is -6.3 to the nearest tenth.

An approximation is anything that is similar, but not exactly equal, to something else.

The given expression is  −12 + √32

The value of √32 is given as 5.656

Since,after decimal 6 to the right of 5 is greater than 5

To the nearest tenth, we can write as 5.66

∴ √32 = 5.66

For the required value of the expression we can write,

−12 + √32

Put the value of √32  = 5.66

Putting values in expression we have,

-12 + √32 = -12 + 5.66

Solving them

⇒ -12 + √32 = -6.34

Hence,the approximate value of -12 + √32  is -6.3 to the nearest tenth.

So, the correct option is -6.3.

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The sum of the expression 70a and 21b is equivalent to 7(10a + 3b).

Step-by-step explanation:

EquationAn equation is an expression that is used to show the relationship between two or more variables and numbers.Given the expression:7(10a + 3b)Opening the bracket:= 70a + 21bThe sum of the expression 70a and 21b is equivalent to 7(10a + 3b).

Answer:

34

Step-by-step explanation:

So because you are given that a= 14, You just need to replace a with 14 in the equatio so it becomes:

15 + 5 + 14

15 + 5 = 20

20 + 14 = 34

All you do is replace a with 14 then add 15, 5 and 14 getting 34.

HOPE IT HELPED

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. Substitute the coordinates of the vertex and the other point into the vertex form to find the value of a. Then, substitute the value of a back into the vertex form to get the quadratic function.

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. In this form, (h, k) represents the coordinates of the vertex of the parabola.

Let's say the vertex of the quadratic function is (h, k) and the other point is (x1, y1). We can substitute these values into the vertex form to find the value of a.

Substituting the vertex coordinates, we get:

f(h) = a(h-h)^2 + k

f(h) = k

Substituting the coordinates of the other point, we get:

f(x1) = a(x1-h)^2 + k

Now, we have two equations:

k = a(0)^2 + k

y1 = a(x1-h)^2 + k

From the first equation, we can see that k = k, which is always true. Therefore, we can ignore this equation.

From the second equation, we can solve for a:

y1 - k = a(x1-h)^2

a = (y1 - k) / (x1-h)^2

Now that we have the value of a, we can substitute it back into the vertex form to get the quadratic function:

f(x) = a(x-h)^2 + k

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The proportion used to find the value of a is a/18 = 16/a

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given are three similar triangles, (refer to attached figure to separately see the similar triangles)

We know that, similar triangle have corresponding sides in equal ratio,

Therefore,

a/18 = 16/a

Hence, the proportion used to find the value of a is a/18 = 16/a

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a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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√(9/31) is the irrational number

Answer:

The answer should be \(9*10^{16}\)

Step-by-step explanation:

Answer:

d. 46.19

Step-by-step explanation:

y=124.85(0.37)

to figure out the percent decrease, subtract the percent from 100. then divide by 100 to get a decimal. multiply that decimal by the original cost to get the answer.

Answer: The answer is 60p.

Step-by-step explanation:

1) You first simplify what is in parenthesis.

         (6p+9p) = (15p)

2) Next, you multiply (15p) by 4.

        4(15p) = 60p

3) You simplified the expression of

        4(6p+9p) to 60p.

Answer:

I’m guessing 108 or 165

Step-by-step explanation:

because if 45/500 if you double that it would be 90/1000. after 200 is about half of 500 so 45 divided by 2 is 22.5. yeah i’m like no help sorry

Answer:

From the graph, when x=-6, y=1

so, your answer is A) f(x)=∛(x-6)+1

OAmalOHopeO

Answer:

.2 Cm

Step-by-step explanation:

The round of number 371,883 to two significant digits is 370,000.

What are significant figures?

In positional notation, significant figures are digits in a number that are trustworthy and required to denote the amount of something.

For example,

Number 0.00698 contained three significant digits.

Number 102.0094 contains seven significant digits.

As per question,

Number 371,883 contained six significant digits.

Now convert this number to two significant digits as follows:

Number 371,883 rounded to five significant digits is 371,880

Similarly, rounded to four significant digits is 371,800.

Similarly, rounded to three significant digits is 371,000.

and similarly, rounded to two significant digits is 370,000.

Hence, The round of number 371,883 to two significant digits is 370,000.

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Answer:

Hope that answers your question

⟹Answer:

➧Lucas can cut the wire into 12 pieces.

Step-by-step explanation:

⟹Lets Solve!

⟹The first step is to convert \(\frac{3}{4}\) into \(\frac{}{16}\) !

      To do this we must find what number multiplied by 4 equals 16.

16 ÷ 4 = 4

⟹Now we know our multiplier is 4. So lets multiply the numerator and denominator by 4.

\(\frac{3}{4} * \frac{4}{4} = \frac{12}{16}\)

\(\frac{12}{16}\)

⟹Next we just divide  \(\frac{12}{16}\) by \(\frac{1}{16}\).

\(\frac{12}{16}\) ÷ \(\frac{1}{16}\) = 12

➧Lucas can cut the wire into 12 pieces.

Woohoo! Brainliest appreciated! Hope I helped!

Based on the original length of the wire and the length Lucas requires, he will have 12 pieces.

The wire is 3/4 feet long and each piece required will be 1/16 feet.

The number of pieces in total is:

= Length of wire / Length of pieces

Solving gives:

= 3/4 ÷ 1/16

= 3/4 × 16/1

= 48/4

= 12 pieces

In conclusion, Lucas will have 12 pieces.

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Answer: 454.5

Step-by-step explanation:

-2, 20, -200, 2,000 ==> 4 numbers

Mean: (-2+20+(-200)+2000)/4=

(18-200+2000)/4=

(-182+2000)/4

1818/4=454.5

Answer:

4

Step-by-step explanation:

20 = 2c + 12

20 - 12 = 2c

8 = 2c

2c = 8

c = 8/2 = 4

Answer:

20=2c+12

c=4

2c=8

20=8+12

The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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Check the picture below.

The equation of a circle having endpoints of diameter as (4,9) and (4,-3) is (x - 4)² + (y - 3)² = 36.

The "center" of circle is called as midpoint of diameter.

The "x-coordinate" of "mid-point" is = (4+4)/2 = 4, and

The "y-coordinate" of "mid-point" is = (9+(-3))/2 = 3.

So, center of circle is (4,3),

The radius of circle is half the length of the diameter, which is distance between two endpoints of diameter. We find distance using distance formula:

⇒ distance = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁,y₁) and (x₂,y₂) are "end-points" of diameter.

⇒ distance = √((4 - 4)² + (9 - (-3))²)

⇒ √(144) = 12.

So, radius is 6.

The equation of circle with center (h,k) and radius "r" is : ⇒ (x - h)² + (y - k)² = r²,

Substituting the values

We get,

⇒ (x - 4)² + (y - 3)² = 6²,

⇒ (x - 4)² + (y - 3)² = 36,

Therefore, the equation of the circle is (x - 4)² + (y - 3)² = 36.

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Therefore, the dimensions of the kennel are 3.5 feet by 9 feet.

In mathematics, area is a measure of the amount of space inside a two-dimensional shape, such as a rectangle, circle, triangle, or polygon. It is expressed in square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²). Knowing the area of a shape can be useful in many real-world situations, such as calculating the amount of paint needed to cover a wall, determining the size of a piece of land, or estimating the amount of material needed for a construction project.

Here,

Let the length of the kennel be L and the width be W. Since we are using 25 feet of fence material, the total length of fencing we need is:

2L + W = 25 - 9 = 16

We also know that one side of the kennel is 9 feet long, so we can substitute W = 9 into the equation above to get:

2L + 9 = 16

Subtracting 9 from both sides gives:

2L = 7

Dividing by 2 gives:

L = 3.5

So the length of the kennel is 3.5 feet and the width is 16 - 2(3.5) = 9 feet.

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The given function f(x) = 16^x is an exponential function.

An exponential function is a mathematical function in which an independent variable appears in the exponent. In this case, the base of the function is 16, and the variable x is the exponent.

In the given function f(x) = 16^x, the variable x represents the exponent to which 16 is raised. As x increases, the function value grows rapidly, indicating exponential growth. The base of 16 signifies that the function is being multiplied by 16 for each unit increase in the exponent.

In contrast, a linear function has a constant rate of change, and a quadratic function has a squared term. The given function does not involve a linear relationship or a squared term, which confirms that it is not a linear or quadratic function.

Therefore, based on the given form f(x) = 16^x and the exponential growth nature of the function, we can classify it as an exponential function.

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Step-by-step explanation:

I hope this answer is helpful ):

Answer: 941.33 inches squared

Step-by-step explanation:

You will find the area of each shape separately, then add them together.

The area of a square is s²

26² = 676

Area of a semicircle is 1/2(πr²)

1/2((3.14)(13)²)

1/2((3.14)(169))

1/2(530.66)

265.33

676 + 265.33 = 941.33 inches squared

Hope this helps!

Answer: \(\boxed{\ 28.26}\)

My step-by-step explanation:

    2.In this problem we were given the diameter of 6, in order to find the radius, you just divide by 2

   3. So now that we have our radius, we can just plug the numbers into the formula.  So this would be:

Hope this helps you!

Answer:

2s

Step-by-step explanation:

timbers and the horses

In terms of ss , the one that represents the smaller of the two numbers is "s".

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that sum of a number and twice that number is equal to ss.

Let consider the two numbers are x and y. then

The sum of a number and twice that number is 2x

x + y = ss

x + 2x = ss

3x = ss

If we replace x by s then we the equation get;

3s = ss

Hence, In terms of ss , the one that represents the smaller of the two numbers is "s".

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