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Colt1911 [192]
3 years ago
14

There is a free prize drawing in a shopping mall. There are some youngsters and older people. The result of the number of winnin

g people is shown below. Which group had a higher % of winners between youngsters and older people?
- 30 older people won washing machines out of the 60 older people. - 45 youngsters won washing machines out of the 60 youngster.
Mathematics
2 answers:
serg [7]3 years ago
8 0

Answer:

There is a free prize drawing in a shopping mall. There are some youngsters and older peoples. The result of the number of winning people is shown below.

Which grow had highest % of winning between youngster and older people? - 30 older people won washing machines out of the 60 older people. - 45 youngsters won washing machines out of the

Scilla [17]3 years ago
5 0

Answer:

the guy or girl up top is right

Step-by-step explanation:

sorry i could'ent help but that person is completely right in i will correct if wrong

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The prior probabilities for events A1 and A2 are P(A1) = 0.20 and P(A2) = 0.80. It is also known that P(A1 ∩ A2) = 0. Suppose P(
Umnica [9.8K]

Answer:

(a) A_1 and A_2 are indeed mutually-exclusive.

(b) \displaystyle P(A_1\; \cap \; B) = \frac{1}{20}, whereas \displaystyle P(A_2\; \cap \; B) = \frac{1}{25}.

(c) \displaystyle P(B) = \frac{9}{100}.

(d) \displaystyle P(A_1 \; |\; B) \approx \frac{5}{9}, whereas P(A_1 \; |\; B) = \displaystyle \frac{4}{9}

Step-by-step explanation:

<h3>(a)</h3>

P(A_1 \; \cap \; A_2) = 0 means that it is impossible for events A_1 and A_2 to happen at the same time. Therefore, event A_1 and A_2 are mutually-exclusive.

<h3>(b)</h3>

By the definition of conditional probability:

\displaystyle P(B \; | \; A_1) = \frac{P(B \; \cap \; A_1)}{P(B)} = \frac{P(A_1 \; \cap \; B)}{P(B)}.

Rearrange to obtain:

\displaystyle P(A_1 \; \cap \; B) = P(B \; |\; A_1) \cdot  P(A_1) = 0.25 \times 0.20 = \frac{1}{20}.

Similarly:

\displaystyle P(A_2 \; \cap \; B) = P(B \; |\; A_2) \cdot  P(A_2) = 0.80 \times 0.05 = \frac{1}{25}.

<h3>(c)</h3>

Note that:

\begin{aligned}P(A_1 \; \cup \; A_2) &= P(A_1) + P(A_2) - P(A_1 \; \cap \; A_2) = 0.20 + 0.80 = 1\end{aligned}.

In other words, A_1 and A_2 are collectively-exhaustive. Since A_1 and A_2 are collectively-exhaustive and mutually-exclusive at the same time:

\displaystyle P(B) = P(B \; \cap \; A_1) + P(B \; \cap \; A_2) = \frac{1}{20} + \frac{1}{25} = \frac{9}{100}.

<h3>(d)</h3>

By Bayes' Theorem:

\begin{aligned} P(A_1 \; |\; B) &= \frac{P(B \; | \; A_1) \cdot P(A_1)}{P(B)} \\ &= \frac{0.25 \times 0.20}{9/100} = \frac{0.05 \times 100}{9} = \frac{5}{9}\end{aligned}.

Similarly:

\begin{aligned} P(A_2 \; |\; B) &= \frac{P(B \; | \; A_2) \cdot P(A_2)}{P(B)} \\ &= \frac{0.05 \times 0.80}{9/100} = \frac{0.04 \times 100}{9} = \frac{4}{9}\end{aligned}.

6 0
2 years ago
Can you help me with this question.
HACTEHA [7]

For the scale factor, use the dimensions from similar sides:

Using 18 from the original image you would use 6 from the scaled image.

18 /6 = 3

This means the scaled image is 3 times smaller than the original. Because the scaled image is smaller divide 1 by the scale factor to get 1/3.

Q2:

The scale factor is 1 inch = 12 miles.

Multiply the total inches by 12:

6.5 x 12 = 78 miles.

3 0
3 years ago
Read 2 more answers
The base area of an oblique pentagonal prism is 15 sq. in. The prism measures 3 inches in height and the edges connecting the ba
Fantom [35]

Answer:

Option A & D are correct Option.

Step-by-step explanation:

We are given with following :

Area of Base = 15 in.²

Height of Prism = 3 in.

Length of edge of base = 5 in.

Volume of Prism = Area of Base × Height = 15 × 3 = 45 in.³

Therefore, Option A & D are correct Option.

3 0
3 years ago
Ramona is installing a kitchen counter that is 9 feet by 3 feet.
LiRa [457]

The area of the kitchen counter is 21 square ft.

<u>Step-by-step explanation:</u>

Area of the sink = 2 x 3

= 6 square ft.

Area of the kitchen counter = 9 x 3 -(6)

=27 - 6

= 21 square ft.

The area of the kitchen counter is 21 square ft.

7 0
2 years ago
The circle below has center k , and its radius is 3 cm Given that m∠LKM =70° , find the length of the major arcLNM
Veseljchak [2.6K]

The length of the major arc LNM is \frac{29}{6}\pi \ cm

<h3><u>Length of an arc</u></h3>

From the question,

We are to determine the value of the length of the major arc LNM

The length of the major arc LNM can be calculated using the formula

Length \ of \ major\ arc \ LNM = \frac{Reflex \

Where r is the radius

First, we will determine the value of the reflex ∠LKM

Reflex ∠LKM + ∠LKM = 360° (<em>Sum of angles at a point</em>)

From the given information,

∠LKM = 70°

Then,

Reflex ∠LKM + 70° = 360°

Reflex ∠LKM = 360° - 70°

Reflex ∠LKM = 290°

Also, from the question

r = 3 cm

Now, putting the parameters into the formula, we get

Length \ of \ major\ arc \ LNM = \frac{290 ^\circ }{360 ^\circ} \times 2\pi \times 3

Then,

Length \ of \ major\ arc \ LNM = \frac{1740\pi}{360}

Length \ of \ major\ arc \ LNM = \frac{29}{6} \pi \ cm

Hence, the length of the major arc LNM is \frac{29}{6}\pi \ cm

Learn more on calculating length of an arc here: brainly.com/question/2005046

5 0
2 years ago
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