Answer:
x² + 13x + 30
Step-by-step explanation:
(x + 3) (x + 10)
Expand the brackets.
x(x + 10) + 3(x + 10)
x² + 10x + 3x + 30
Add like terms.
x² + 13x + 30
Answer:
89
Step-by-step explanation:
Use the mean formula, mean = sum of elements / number of elements.
He wants to keep his average at 85 or higher, so plug in 85 as the mean. Let x represent the score he has to get, and solve for x:
mean = sum of elements / number of elements.
85 = (85 + 76 + 94 + 81 + x) / 5
85 = (336 + x) / 5
425 = 336 + x
89 = x
So, he has to get a 89.
Answer:
16 blueberries and 4 strawberries
Step-by-step explanation:
Given:
A bowl contains blueberries and strawberries there are a total of 20 berries in the bowl.
The ratio blueberries to strawberries is 4 to 1
Question asked:
How many of each berry are in the bowl ?
Solution:
Ratio of blueberries and strawberries = 4 : 1
Let ratio be 
Number of blueberries in the bowl = 
Number of strawberries in the bowl = 
As total berries in the bowl are 20 and the bowl contains both blueberries and strawberries in the ratio 4 : 1 :-

Dividing both sides by 5

Number of strawberries in the bowl =
= 4
Number of blueberries in the bowl =
= 
Thus, there are 16 blueberries and 4 strawberries in the bowl.
Answer:So that's the change in Y. Now notice that X is increasing. By one unit each time. So we can calculate the slope. The slope is the change in Y divided by the change in X
Step-by-step explanation:
Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇