Answer:
3x + 19 is your answer. have a nice day
<h3>
Answer: 10 metal bats</h3>
"Ratio of wooden bats to metal bats is 2 to 1" basically means "there are twice as many wooden bats (compared to metal ones)". So if we had 3 metal bats, then we'd have 2*3 = 6 wooden bats. If we had 7 metal bats, then we have 14 wooden ones (because 2*7 = 14). And so on. The basic rule is to multiply the amount of metal bats by 2 to get the amount of wooden ones.
We can go in reverse to divide the amount of wooden bats to get the amount of metal ones. So 20/2 = 10 is the amount of metal bats.
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A more formal approach is to use the proportion below to solve for x
20/x = 2/1
20*1 = x*2
20 = 2x
2x = 20
2x/2 = 20/2
x = 10
and we get the same answer.
Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
<span>By plotting, <em>(please see the image attached)</em> we can clearly see that neither side
is equal nor perpendicular to each other. Same condition of we use the distance
formula to compare the sides. The type of quadrilateral that has meets the
condition is a trapezoid</span>
Answer:
a) mean = u = 83
b) Your friend's score is 1.625 standard deviations below the mean
Step-by-step explanation:
Note:
- The correct question is as follows:
" In the Social Psychology course, you receive a score of 77 on the second exam. You are told that the standard deviation of the second exam is 8 and that your score is .75 standard deviations below the mean. "
Find:
a.What is the class mean of the second exam?
b.Your friend scored a 70 on the second exam. How many standard deviations below the mean is your friend’s score?
Solution:
- The class mean can be calculated by using the given data of your score being 0.75 standard deviation less than mean:
Your score = mean - 0.75*standard deviation.
- Plug in the values:
77 = mean - 0.75*8
mean = u = 83
- Now your friend has a score of 70 on second exam, using the above relation again we have:
Friend's score = mean - a*standard deviation.
Where, a is the constant to be found:
70 = 83 - a*8
a = (70 - 83 ) / -8
a = 1.625
- Your friend's score is 1.625 standard deviations below the mean