Answer:
(-2,3)
Step-by-step explanation:
y=x+5 y=−2x−1
Solve y=x+5 for y:
Substitute x+5 for y in y=−2x−1:
y=−2x−1
x+5=−2x−1
x+5+2x=−2x−1+2x (Add 2x to both sides)
3x+5=−1
3x+5+(−5)=−1+(−5) (Add -5 to both sides)
3x=−6
<u>3x </u> = <u>-6</u> (Divide both sides by 3)
3 3
x=−2
Substitute −2 for x in y=x+5:
y=x+5
y=−2+5
y=3 (Simplify both sides of the equation)
Therefore, x= -2 and y=3
The approximate volume of the remaining solid is
Step-by-step explanation:
we know that
The approximate volume is equal to the volume of the cube minus the volume of the cylinder
so
we have
-----> the radius is half the diameter
substitute the values
: Hope this helps :)
Answer:
136.73
Step-by-step explanation:
i used a math site so i think its right but im sry if its not
The statistical test that can be used for the given statements is; the goodness-of-fit test
<h3>How to determine the best statistical tests?</h3>
1) For the archeologist story, the goodness-of-fit test is the best and most relevant test that can be applied because the archaeologist wishes to determine if her prediction was correct by comparing the actual number of artefacts recovered in each grid section to the expected frequencies.
2) The economist generates a list of expected stock market index points for the next two weeks, as well as the actual points at the end of each trading day. The economist then compares the actual and expected points to ensure that the model he constructed is accurate. As a result, economists can use the goodness-of-fit test in this study.
Read more about Statistical Tests at; brainly.com/question/15980493
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5m+6+m-18=60That's a linear equation in 'm '. There's only one number that 'm' can be
that makes the equation true. The assignment is usually to find out what
that number is.
Before we get carried away and confuse ourselves, let's do some work
on the left side, and try to make it simpler.
Do you see that ' 5m ' and that ' +m ' ? We can combine them, and write ' 6m '.
Do you see that ' +6 ' and that ' -18 ' ? We can combine those, and write ' -12 '.
Now the equation is much simpler:
6m - 12 = 60
Add 12 to each side:
6m = 72
Divide each side by 6 :
<u>m = 12 </u>