Answer:
x = -2
Step-by-step explanation:
2x + 4 = 0
2x = -4
2x/2 = -4/2
x = -2
Answer:
Step-by-step explanation:
<u>The volume of a cylinder:</u>
- V = πr²h, where r-radius, h-height
<u>New dimensions of the cake:</u>
<u>The volume of the bigger cake:</u>
- V1 = π*(2r)²*(3h) = 12*πr²h = 12V
- V1/V = 12
The ration of volumes is 12 : 1
Answer:
(a) 0.12 (b) 0.32 (c) 0.56
Step-by-step explanation:
The sample outcomes are Funded or Unfunded. Total sample space is given by:
2²= 4
Fund = F
Unfunded = U
P (F) ist panel = 0.2
P (U) ist panel = 0.8
P (F) 2nd panel = 0.6
P (U) 2nd panel = 0.4
TOTAL SAMPLE SPACE
Ist Panel Second Panel
F F
F U
U F
U U
(a) Probability of both panel approval = P (FF)
= 0.2 x 0.6
= 0.12
(b) Probability of approval disapproved by both panels = P (UU)
= 0.8 x 0.4
= 0.32
(c) Probability of a worthy disapproval by one panel = P(FU) + P(UF)
= (0.2 x 0.4) +(0.8 x 0.6)
= 0.08 + 0.48
= 0.56
Answer: option B
Step-by-step explanation:
Miguel has to take two quizzes
1) 4 true or false questions on History with a 0.5 chance of acing the quiz
Expected number of correct questions = np
n = number of questions
p = probability of acing the test
Expected number of correct questions = 4 × 0.5 = 2
2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.
Expected number of correct questions = 0.2 × 3 = 0.6
It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.
Answer:
Step-by-step explanation:
= 
* 
/ 
= 2 /
The square root of 5 will be cancel then
= 2
