The value that is 2 standard deviations from the mean is; 130
<h3>What is Empirical Rule?</h3>
For this question, we will use Z-score and as such whether the value is below or above mean (shown by positive or negative sign) and by how much (times the standard deviation).
Thus;
Calculated value = μ + zσ
where;
μ is mean
σ is standard deviation
Hence, the value that would be +2 standard deviations from the mean is;
Calculated value = 100 + 2(15)
Calculated value = 130
Read more about Empirical Rule at; brainly.com/question/10093236
If the slope is 5 so is the x’s number
ax+b=y
a=5 because of the slope
5x+b=y
Put the points 2 instead of x and -3 instead of y
10+b=-3
b is -13
so the answer is 5x-13=y
23) x = = -6.666.
24) x = = -1.7142.
25) x = = -7.4.
Step-by-step explanation:
Step 1; For = , we cross multiply the denominators and get,
3 × (x + 4) = 12 × (x + 6),
3x + 12 = 12x + 72.
We take all the x terms to the LHS and keep the constants on the RHS.
3x - 12x = 72 - 12,
-9x = 60, x = = -6.6666.
Step 2; For = , we cross multiply the denominators and get,
-5 × (x + 12) = 9 × (x - 4),
-5x - 60 = 9x - 36.
We take all the x terms to the LHS and keep the constants on the RHS.
-5x - 9x = -36 + 60,
-14x = 24, x = = -1.7142.
Step 3; For = , we cross multiply the denominators and get,
6 × (x - 8) = 11 × (x - 1),
6x - 48 = 11x - 11.
We take all the x terms to the LHS and keep the constants on the RHS.
6x - 11x = -11 + 48,
-5x = 37, x = = -7.4.
Answer:
−
3
(
1
+
4
)
=
3
3
Step-by-step explanation:
I’ll assume the question is asking us to factor the above polynomial:
5x^2 + 10x - 45
Factor out a 5:
5(x^2 + 2x - 9)
This appears to be an irreducible quadratic polynomial, so let’s leave it alone.
5x^2 + 10x - 45 = 5(x^2 + 2x - 9)