Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The proportion analyzed by Amir is P(A) = 0.55
The proportion analyzed by Betty is P(B) = 0.30
The proportion analyzed by Carlos is P(C) = 0.15
The inaccuracy by Amir is p = 0.6% = 0.006
The inaccuracy by Betty is b = 0.4% = 0.004
The inaccuracy by Carlos is c = 0.1% = 0.001
Generally the probability of inaccurate analysis is mathematically represented as
=> 
=> 
Generally the probability that an inaccurate analysis, detected at final verification, was conducted by Carlos is mathematically represented as
=> 
=>
Answer:
A:
i) ∠ABC is an inscribed angle
ii) ∠ATC is a central angle
B: ∠ABC = 150/2 = 75°
C: ∠ATC = 150°
Given :
A bakery sells mocha cupcakes and vanilla cupcakes.
It sold 391 mocha cupcakes in a day.
15% of the cupcakes sold that day were vanilla.
To Find :
How many total cupcakes did the bakery sell that day.
Solution :
Let, total number of cupcakes bakery sell that day is x.
So, x - 0.15x = 391
0.85x = 391
x = 460
Therefore, total number of cupcakes bakery sell that day is 460 .
<em>Answer:</em>
The inequality that is true is -5 - 3x > 10.
<em>Step-by-step explanation:</em>
if x = -6
we can subtitution x to every inequality, so :
-5 - 3x > 10
-5 - 3(-6) > 10
-5 - (-18) > 10
-5 + 18 > 10
13 > 10 [true]
-3 - 5x < -14
-3 - 5(-6) < -14
-3 - (-30) < -14
-3 + 30 < -14
27 < -14 [false]
2 - x < -3
2 - (-6) < -3
2 + 6 < -3
8 < -3 [false]
So if x=-6, inequality true is -5 - 3x > 10.
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Step-by-step explanation:
Given data
two white blocks,= 2
one red block, and =1
three purple blocks.=3
1. Sample space = 2+1+3= 6
2. a. Probability of picking a white block p(w)= 2/6= 1/3
b. Probability of picking a red block p(r)= 1/6.
c. Probability of picking a purple block p(p)= 3/6= 1/2
3. the probability of not choosing a white block= 1/6+1/2= 1+3/6 4/6= 2/3
The above answers was gotten as the summation of the probability of picking red or purple
4. We already know that the sample space for picking a block from the bag is 6.
The sample space for tossing a coin is 2. Total sample space is 6+2= 8
