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3 years ago

What is the mean of the set of numbers -11 -22 -2 and -3

Mathematics

2 answers:

Nata [24]3 years ago

7 0

Answer:

The answer would be positive 1.5

Step-by-step explanation:

Lostsunrise [7]3 years ago

4 0

Answer: Mean= (-) 9.5

Explanation:

We have given that ,

The set of numbers are -11, -22, -2, -3

Since we have the numbers which are negative only so the mean will be negative as well.

∴ Mean = $\frac{\text{Sum of observations}}{\text{Total no. of observations}}$

So it becomes ,

Mean = $\frac{-11-22-2-3}{4}$

= $\frac{-38}{4}$

= (-)9.5

∴ Mean of given set of numbers = (-) 9.5

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Rachel is a stunt driver, and she's escaping from a building that is about to explode!

lutik1710 [3]

Answer:

The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt. d = - 38t

Step-by-step explanation:

From given, we have, The expression that represents the Rachel's distance is given by, d = - 38t + 220

where, d represents the distance in meters

t represents the time in seconds

We know that, speed = distance by time. Therefore, we need to differentiate the given equation w.r.t to time to find the speed.

we have, d/dt (d) = d/dt [- 38t + 220]

| d/dt (d) | = | - 38 + 0 |

s = d/dt (d) = 38 m/s

Therefore, the speed of Rachel is 38 m/s.

5 0

3 years ago

How does the definition of PERCENT help you write fraction and decimals equivalents?

nasty-shy [4]

By definition we have to:
The percentage is a mathematical symbol, which represents a given quantity as a fraction in 100 equal parts. It is also commonly called percent where percent means "out of every hundred units."
We have then that using the definition we can apply the following formula to obtain a fraction or a decimal:
$\frac{A}{100}$
Where,
A: amount in percentage
Answer:
you can write fraction and decimals equivalents using the expression:
$\frac{A}{100}$

4 0

3 years ago

Read 2 more answers

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

4 years ago

What is the product of 2 2/3⋅4 1/3?

Leviafan [203]

Answer:

11.5

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers

Write the quadratic equation in general form and then choose the value of "b."

Ira Lisetskai [31]

First of all to transfer (2x - 1)(x + 6) = 0 into a form where we can plug it into the quadratic formula we need to use the FOIL method.

(2x - 1)(x + 6) = 0
 becomes
2x*x+2x*6+-1*x+-1*6
which simplifies to
2x^2 + 12x - x - 6
and then we add like terms to get
2x^2 + 11x - 6

now that it is in the correct form we can identify "a" "b" and "c" by following this form
ax^2 + bx + c
looking back at the equation we got earlier
2x^2 + 11x - 6

a=2,b=11,and c=-6

4 0

4 years ago

Read 2 more answers