Answer:
The value of a is 3
Step-by-step explanation:
First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)
y--2=-3(x-6), which simplifies to y+2=-3(x-6)
In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.
7+2=-3(x-6),
Combine like terms on the left side to get to 9=-3(x-6)
Multiply out on the left to get 9=-3x+18
Subtract 18 from the left side to get -9=-3x
Divide both sides by negative 3 to get 3=x (remember x is a)
Answer:
D
Step-by-step explanation:
Because its not exactly 40 and its .002 far away from beign 51.4
Answer:
Yes, the test was conducted with a risk of a type I error.
Step-by-step explanation:
If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.
Yes, for a null hypothesis to be rejected, it has being proven beyond all doubt that the null hypothesis will not work. the normal distribution has being used for the probability calculation.
if the null hypothesis is rejected and the alternative hypothesis is accepted, a type I error as occur.
In general terms:
‘a hypothesis has been rejected when it should have been accepted’. When this occurs, it is called a type I error.
<span><span><span><span>2x</span>+<span>3y</span></span>=1</span>;<span><span>x+<span>4y</span></span>=<span>−2
</span></span></span>Steps:
<span>Multiply the second equation by -2, then add the equations together.
</span><span>(<span><span><span>2x</span>+<span>3y</span></span>=1</span>)
</span><span><span>−2</span><span>(<span><span>x+<span>4y</span></span>=<span>−2</span></span>)
</span></span>Becomes:
<span><span><span>2x</span>+<span>3y</span></span>=1
</span><span><span><span>−<span>2x</span></span>−<span>8y</span></span>=4
</span>Add these equations to eliminate x:
<span><span>−<span>5y</span></span>=5
</span>Then solve<span><span>−<span>5y</span></span>=5</span>for y:
<span><span><span>−<span>5y</span></span><span>−5</span></span>=<span>5<span>−5</span></span></span>(Divide both sides by -5)
<span>y=<span>−1
</span></span>Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
<span><span><span>2x</span>+<span>3y</span></span>=1
</span>Substitute<span>−1</span>foryin<span><span><span><span>2x</span>+<span>3y</span></span>=1</span>:
</span><span><span><span>2x</span>+<span><span>(3)</span><span>(<span>−1</span>)</span></span></span>=1
</span><span><span><span>2x</span>−3</span>=1</span>(Simplify both sides of the equation)
<span><span><span><span>2x</span>−3</span>+3</span>=<span>1+3</span></span>(Add 3 to both sides)
<span><span>2x</span>=4
</span><span><span><span>2x</span>2</span>=<span>42</span></span>(Divide both sides by 2)
<span>x=2
</span>Answer:
<span><span>x=<span><span>2<span> and </span></span>y</span></span>=<span>−<span>1
</span></span></span>
