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-BARSIC- [3]
2 years ago
6

People at the state fair were surveyed about which type of

Mathematics
1 answer:
Ronch [10]2 years ago
6 0

Answer:

Step-by-step explanation:

You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.

                      Pink Lemonade         Yellow Lemonade       TOTAL

 

Male                    156                                104                          260

 

Female                  72                               48                          120

 

TOTAL                 228                               152                         380

P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6

P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6

Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6

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A missile can be accidentally launched if two relays Aand Bboth have failed. The probabilities of Aand B failing are known to be
Reil [10]

Answer:

A. 0.006

B. 0.02

C. They are dependent

Step-by-step explanation:

Given

P(A) = 0.01 ---- The probability that A faile

P(B) = 0.03 --- The probability that B fails

P(B|A) = 0.06 ---- The probability that B will fail if A fails

A. What is the probability of an accidental missile launch?

If an accidental missile is launched, then this means we're asked to calculate the probability that A fails and B fails

This is given by P(A and B)

The expression,

P(B|A)=P(A and B)/P(A) will be used to solve this question.

Substitute in the values

0.06 = P(A and B) / 0.01 ---- Make P(A and B) the subject of formula

P(A and B) = 0.01 * 0.06

P(A and B) = 0.006

B. What is the probability that A will fail if B has failed?

Here, we're to calculate P(A|B)

This is calculated by

P(A|B)=P(A and B)/P(B)

Where P(A and B) = 0.006

Substitute in the values

P(A|B) = 0.006 / 0.03

P(A|B) = 0.02

C. Are the events "A fails" and ''B fails" statistically independent?

If the occurrence of event A fails does not affect the occurrence of the event B fails and vice versa then they are independent.

Meaning that if P(B|A)=P(B) or P(A|B)=P(A) they are independent.

But P(A|B) = 0.02 and P(A) = 0?01

Since the values are not the same

Then, we can conclude that they are dependent

7 0
2 years ago
In the diagram, polygon ABCD is flipped over a line of reflection to make a polygon with vertices at A′, B′, C′, and D′. Points
DIA [1.3K]
<span>if point A( 2,2) is reflected across the line Y then the new position A' is (-2,2) and the distance AY = distance A'Y if A is reflected across line R it is now at point B and the distance AR = distance BR lets say the point A(2,2) was perpendicular to the line R at the point (1, 4) then when reflected the point A now at location B will have coordinates</span><span>when flipped over a line of reflection the lengths are still the same the point to the line of reflection is the same length as the line of reflection to the reflected position the distance from the original point to the reflected point is twice the distance from the original point to the line of reflection cannot see your polygon. here is an example

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7 0
2 years ago
11. Susan was given the following number to convert to scientific notation: 12,050,000
pashok25 [27]

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

5 0
2 years ago
Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = ___ (x +11)2 +____.
wel

The\ vertex\ form:\\\\f(x)=a(x-h)^2+k

\text{Use}\ (a+b)^2=a^2+2ab+b^2\qquad(*)

g(x)=4x^2+88x=4(x^2+22x)=4(x^2+2\cdot x\cdot11)\\\\=4(\underbrace{x^2+2\cdot x\cdot11+11^2}_{(*)}-11^2)=4[(x+11)^2-121]=4(x+11)^2+(4)(-121)=4(x+11)^2-484

5 0
2 years ago
Read 2 more answers
The initial temperature of a cup of tea is 200ºF. The surrounding temperature is 70ºF, and the value of the constant k is 0.6.
Nezavi [6.7K]

Newton's Law of Cooling states that the change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature over time.

Therefore when expressed mathematically, this is equivalent to:

dT = - k (T – Ts) dt

dT / (T – Ts) = - k dt

Integrating:

ln [(T2– Ts) / (T1– Ts)] = - k (t2 – t1)

Before we plug in the values, let us first convert the temperatures into absolute values R (rankine) by adding 460.

R = ˚F + 460

T1 = 200 + 460 = 660 R

Ts = 70 + 460 = 530 R

ln [(T2– 530) / (660 – 530)] = - 0.6 (2 - 0)

T2 = 569.16 R

T2 = 109 ºF

Answer: After 2 hours, it will be 109 ºF

6 0
2 years ago
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