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tekilochka [14]
3 years ago
11

-3 or -6 Use, or to compare the following numbers.

Mathematics
1 answer:
77julia77 [94]3 years ago
5 0

Answer:

-3>-6

Step-by-step explanation:

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A video game maker claims that number of glitches in code for their
svet-max [94.6K]

Answer:

The major condition that needs to be satisfied before a t-test is performed that the question satisfies easily is the use of random sampling to obtain sample data.

Step-by-step explanation:

The major conditions necessary to conduct a t-test about a mean include;

- The sample extracted from the population must be extracted using random sampling. That is, the sample must be a random sample of the population.

- The sampling distribution must be normal or approximately normal. This is achievable when the population distribution is normal or approximately normal.

- Each observation in the sample data must have an independent outcome. That is, the outcome/result of each sub-data mustn't depend on one another.

Of the three conditions that need to be satisfied before the conduction of a t-test, the first condition about using a random sampling technique is evidently satisfied.

It is stated in the question that 'A private investigator hired by a competitor takes a random sample of 47 games and tries to determine if there are more than 7 glitches per game'.

Hope this Helps!!!

5 0
4 years ago
The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w
raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points A and B.

We know that the y-coordinates of both are 3.

So let's first solve:

3=4x^2+x-1

Subtract 3 on both sides:

0=4x^2+x-1-3

Simplify:

0=4x^2+x-4

I'm going to use the quadratic formula, x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}, to solve.

We must first compare to the quadratic equation, ax^2+bx+c=0.

a=4

b=1

c=-4

\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}

\frac{-1 \pm \sqrt{1+64}}{8}

\frac{-1 \pm \sqrt{65}}{8}

Since the distance between the points A and B is horizontal. We know this because they share the same y-coordinate.This means we just need to find the positive difference between the x-values we found for the points of A and B.

So that is, the distance between A and B is:

\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}

\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}

\frac{2\sqrt{65}}{8}

\frac{\sqrt{65}}{4}

If we compare this to \frac{\sqrt{m}}{n}, we should see that:

m=65 \text{ and } n=4.

So m-n=65-4=61.

5 0
3 years ago
Read 2 more answers
A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the
Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= \pi r^2h

According to the problem,

\pi r^2 h=25

\Rightarrow h=\frac{25}{\pi r^2}

The surface area of the base of the can is = \pi r^2

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× \pi r^2)

The lateral surface area of the can is = 2\pi rh

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× 2\pi rh)

                                                 =\$2.5 \pi r h

Total cost of metal is C= 2.00 \pi r^2+2.5 \pi r h

Putting h=\frac{25}{\pi r^2}

\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}

\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}

Differentiating with respect to r

C'=4\pi r- \frac{62.5}{ r^2}

Again differentiating with respect to r

C''=4\pi + \frac{125}{ r^3}

To find the minimize cost, we set C'=0

4\pi r- \frac{62.5}{ r^2}=0

\Rightarrow 4\pi r=\frac{62.5}{ r^2}

\Rightarrow  r^3=\frac{62.5}{ 4\pi}

⇒r=1.71

Now,

\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0

When r=1.71 cm, the metal cost will be minimum.

Therefore,

h=\frac{25}{\pi\times 1.71^2}

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0
3 years ago
How old will Susan be 5 years from now?
zhenek [66]

I think you forgot to mention Susan's current age if not:

x+5

x-4

6x

7 0
3 years ago
How do u simplify this expression 8.9-1.4x+(-6.5x)+3.4?
Mumz [18]

Answer:

-5.1x + 12.3

Step-by-step explanation:

Combine like terms:  first, combine the x terms, obtaining -5.1x.

Next, combine the constants, obtaining 12.3.

The simplified expression is -5.1x + 12.3

7 0
3 years ago
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