Answer:
x = 6
Step-by-step explanation:
These are supplementary angles.
This means that the angles add up to 180 degrees.
The first thing we can do is set 6y equal to 90, because the little red box means that is 90 degrees.
6y = 90
y = 15
Now that we have found y we can solve for x.
Plug in the y to the 5x + 4y
5x + 4(15)
5x + 60
We can set this equal to 90 again
5x + 60 = 90
5x = 30
x = 6
Therefore x is equal to 6.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
the probability that the sample mean will be larger than 1224 is 0.0082
Step-by-step explanation:
Given that:
The SAT scores have an average of 1200
with a standard deviation of 60
also; a sample of 36 scores is selected
The objective is to determine the probability that the sample mean will be larger than 1224
Assuming X to be the random variable that represents the SAT score of each student.
This implies that ;

the probability that the sample mean will be larger than 1224 will now be:






From Excel Table ; Using the formula (=NORMDIST(2.4))
P(\overline X > 1224) = 1 - 0.9918
P(\overline X > 1224) = 0.0082
Hence; the probability that the sample mean will be larger than 1224 is 0.0082
Answer:
the answer would be 146
Step-by-step explanation:
Answer:
+$90;
$1,600
Step-by-step explanation:
The equation,
, given to us tells us much about the situation described above.
y = total pay
x = number of copies of Math is fun
1600 = y-intercept, that is the starting value or the pay he gets only if Sam sold 0 copy of Math is fun. That is, when x = 0, y = 1,600.
90 = unit rate or the change in the total pay for each copy of Math is fun that Sam sells.
Therefore, our answers would be:
+$90, and $1,600