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2 years ago

The null and alternative hypothesis

Mathematics

1 answer:

frez [133]2 years ago

6 0

<span>The null hypothesis states that a population parameter is equal to a value. The null hypothesis is often an initial claim that researchers specify using previous research or knowledge. ... The alternative hypothesis is what you might believe to be true or hope to prove true.</span>

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Two lines, C and D, are represented by the equations given below:

lakkis [162]

y=x+14 line 1

y=3x+2 line 2

These are both the equation of lines written in slope intercept form

y=mx+b where m is the slope and the point (0,b) is the y intercept.

The first line has a slope of m=1. The 2nd line has a slope of m=3

Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.

We already have y solved in terms of x from either equation so we can use substitution to solve the system.

Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.

x+14=3x+2

solve for x.

Subtract x from both sides...

14= 3x-x+2

14=2x+2

subtract 2 from both sides

14-2=2x

12=2x

divide both sides by 2

6=x

We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.

y=6+14

y=20

These two lines cross at the point (6,20) which is a point the two lines have in common.

Hope I helped (SharkieOwO)

3 0

2 years ago

Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool

Dmitriy789 [7]

Answer:

It will take both faucets 200 minutes to fill a pool with 9,000 liters of water

Step-by-step explanation:

Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water

What we need here is to have a joint rate for both faucets;

For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;

100/5 = 20 liters per minute

For the second faucet, the per minute rate will be 100/4 = 25 liters per minute

So therefore, the joint rate will be;

25 liters per minute + 20 liters per minute = 45 liters per minute

So the time needed to fill 9,000 liters of water in a pool will be ;

9000 liters/ 45 liters per minute = 200 minutes

8 0

2 years ago

Help it gives me no numbers!!!

juin [17]

Answer:

area= 15 u

Step-by-step explanation:

A=bh

6 0

2 years ago

Read 2 more answers

Choose the model that represents the function

kirill [66]

Answer:

OPTION D

Step-by-step explanation:

We have to determine which option determines the function given above.

To determine the function, just substitute the values and compare LHS and RHS.

we have $f(4) = 18$

$f(-2) = -12$

$f(0) = -2$

$f(-3) = -17$

Here, $x$ is the domain and $f(x)$ is the co-doamin.

Therefore, $x = \{4, -2, 0, -3\}$

Now, OPTION A: $f(x) = 2x - 5$

Substitute x = 4. We get f(x) = 3 $\ne$ 18.

So, OPTION A is rejected.

Similarly, OPTION B: $f(x) = 5x + 2$

Substitute x = 4. We get f(4) = 22 $\ne$ 18.

It is rejected as well.

Now, for OPTION C: $f(x) = \frac{x}{2} - 5$

Substitute x = 4. We get f(4) = -3 $\ne$ 18.

So, OPTION C is also rejected.

OPTION D: $f(x) = 5x - 2$

Substitute x = 4. We get f(4) = 18.

Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.

8 0

3 years ago

The quotient of 35 and the quantity of x minus 7

Fantom [35]

The quotient (÷) of 35 and the quantity of x minus 7 (x - 7).

$\frac{35}{x - 7}$

3 0

3 years ago