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3 years ago

3.2 less than a number m

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

4 0

Answer:

m-3.2

Step-by-step explanation:

Softa [21]3 years ago

4 0

What was the question tho?

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Can someone help me to answer this please.

Volgvan

All it's asking is: How many cubic inches are there in 22 gallons ? And it already GAVE us the conversion factor !

The conversion factor is . . . . . 1 gallon = 231 cubic inches

Multiply each side by 22: 22 gallons = 22 x (231 cubic inches)

22 x 231 = 5,082

22 gallons = 5,082 cubic inches

If you empty a full 22-gallon tank out through that flow meter, the meter will register 5,082 cubic inches when the tank is empty.

6 0

4 years ago

How can you represent and summarize data in a dot plot?

krek1111 [17]

In a dot plot, each one of the dots represents a value in the data set. When there are multiple values at a particular number, the dots just get stacked on top of each other. Using the dots in the plot, you can find the mean, median, mode or any other statistic that you need to summarize the data.

5 0

3 years ago

At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not

Nikitich [7]

If $f(x, y, z) = c$ represent a family of surfaces for different values of the constant $c$ . The gradient of the function $f$ defined as $\nabla f$ is a vector normal to the surface $f(x, y, z) = c$ .

Given the paraboloid

$y = x^2 + z^2$ .

We can rewrite it as a scalar value function f as follows:

$f(x,y,z)=x^2-y+z^2=0$

The normal to the paraboloid at any point is given by:

$\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\ \\ =2xi-j+2zk$

Also, the normal to the given plane $3x + 2y + 7z = 2$ is given by:

$3i+2j+7k$

Equating the two normal vectors, we have:

$2x=3\Rightarrow x= \frac{3}{2} \\ \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}$

Since, -1 = 2 is not possible, therefore there exist no such point on the paraboloid $y = x^2 + z^2$ such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2.

4 0

4 years ago

What is the complete factorization of x^2 - 6x + 9

Finger [1]

Answer:

$(x-3)^{2}$

Step-by-step explanation:

Factor using the perfect square rule.

4 0

4 years ago

A treatment is administered to a sample of n = 9 individuals selected from a population with a mean of µ = 80 and a standard dev

stepan [7]

Answer:

a) M =82

Step-by-step explanation:

Let´s study this as a Normal distribution.

As we know in a normal distribution the z score is = (X-μ)/(sd/sqrt(n))

where

X = mean for the taken sample = What we want to know in this problem

μ = Total population mean =80

sd= standard deviation= 12

n = sample size=9

So in this case z=( X-80)/(12/sqr(9))= (X-80)/4

also we know that the effect size taken by the machine is 0.5, which is the same as the z-score

so...

0.5 = (X-80)/4 => 0.5*4 = X-80

2+80 = X

X = 82

4 0

4 years ago