Answer:
Probability of choosing number = 0.9192
Step-by-step explanation:
Given:
New mean = 87.8
Mean = 85
Standard deviation = 14
Number picked = 49
Find:
Probability of choosing number
Computation:
Probability of choosing number = [New mean - Mean] / [Standard deviation / √Number picked]
Probability of choosing number <= [(87.8-85)]/[(14/7)]
Probability of choosing number = 0.9192
From the given, there are 5 toppings available. If the pizza is to contain only two toppings, that is one of the five toppings and one of either tomato and cheese then, there will be 10 ways to prepare the pizza. Lastly, if we include the pizza with no toppings then, we have 11 types of pizza.
$56, trust me I took Calc. this is easy compared to that
First put the first equation in Y= which is:
Y=2x-11
So we can substitute this in for Y.
X+3(2x-11)=-5
Now solve for X
X+6x-33=-5
7X=28
X=4
Answer:
∠ABC= 82°
∠ACB= 82°
∠BAC= 16°
Step-by-step explanation:
∠ABC +∠ACB +∠BAC = 180° (∠ sum of △ABC)
(5x -3)° +(5x -3)° +(x -1)°= 180°
5x -3 +5x -3 +x -1= 180
11x -7= 180 <em>(</em><em>simplify</em><em>)</em>
11x= 180 +7 <em>(</em><em>+</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
11x= 187
x= 187 ÷11
x= 17
∠ABC
= (5x -3)°
= [5(17) -3]°
= 82°
∠ACB
= ∠ABC
= 82°
∠BAC
= (17 -1)°
= 16°
Alternatively,
∠BAC
= 180° -82° -82°
= 16°
