Jane has half as much as Elaine at first. The answer is 12, but I honestly just kept using random numbers. After spending 4, Jane has 8 and Elaine has 20.(12 times 2) - 4
Answer:
Step-by-step explanation:
5x^3+8x-8x^2-5x^2+8x^3+7x
14x^3-14x^2+15x
Answer:
D
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here { a, b ] = [ - 1, 2 ], thus
f(b) = 4 ← from (2, 4 )
f(a) = 
← from (- 1, ) , thus
average rate of change = 
= 
= 
→ D
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
<h3>What do you mean by standard deviation?</h3>
In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
WE have been given that SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points.
The solution as follows;
Let be X: scores of SAT
P(X ≥ x) = 0.9
P((X - 500)/100 ≥ (x - 500)/100) = 0.9
P(Z ≥ z) = 0.9
z = 1.28
1.28 = (x - 500)/100
128 + 500 = x
x = 628
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
Learn more about standard deviation and variance:
brainly.com/question/11448982
#SPJ1
Answer:
See explanation
Step-by-step explanation:
1. Angles AOM and MOC are supplementry angles. If m∠MOC = 135°, then
m∠AOM = 180° - 135° = 45°
2. OM − angle bisector of ∠AOB, then
m∠AOM = m∠MOB = 45°
3. Now
m∠BOC = m∠MOC - m∠MOB
m∠BOC = 135° - 45° = 90°
4. Since m∠BOC = 90°, BO is perpendicular to AC.
5. Consider isosceles triangle ABC (because AB ≅ BC). BO is the height drawn to the base, so it is an angle B bisector too, thus
∠ABO ≅ ∠CBO
