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3 years ago

Simply the expression (2x^2y)^3

Mathematics

1 answer:

jonny [76]3 years ago

5 0

Answer:

8 x^6 y^3

Step-by-step explanation:

(2x^2y)^3

(ab)^c = a^c * b^c

2^3 * x^2^3 * y^3

8 * x^2^3 * y^3

We know that a^b^c = a^(b*c)

8 * x^(2*3) * y^3

8 * x^(6) * y^3

8 x^6 y^3

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Pls !! Help!! ASAP!!! Determine if the two triangles are similar

Lostsunrise [7]

Yes, because both triangles are divisible by a certain number to equal to each side of each triangle.

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3 years ago

Read 2 more answers

A consumer products company found that 42% of successful products also received favorable results from test market research, w

blagie [28]

Answer:

(1) The probability of a successful product given the product is favorable is 0.7778.

(2) The probability of a successful product given the product is unfavorable is 0.2391.

(3) The probability of a unsuccessful product given the product is favorable is 0.2222.

(4) The probability of a unsuccessful product given the product is favorable is 0.7609.

Step-by-step explanation:

Denote the events as follows:

S = a product is successful.

F = a product is favorable.

The information provided is:

$P(S\cap F)=0.42\\P(S\cap F^{c})=0.11\\P(S^{c}\cap F)=0.12\\P(S^{c}\cap F^{c})=0.35\\$

The law of total probability states that:

$P(A)=P(A\cap B)+P(A\cap B^{c})$

Use the law of total probability to compute the probability of a favorable product as follows:

$P(F)=P(S\cap F)+P(S^{c}\cap F)\\=0.42+0.12\\=0.54$

The probability of a favorable product is 0.54.

The conditional probability of an event A given that another event B has already occurred is:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

(1)

Compute the value of P (S|F) as follows:

$P(S|F)=\frac{P(S\cap F)}{P(F)}=\frac{0.42}{0.54}=0.7778$

Thus, the probability of a successful product given the product is favorable is 0.7778.

(2)

Compute the value of $P(S|F^{c})$ as follows:

$P(S|F^{c})=\frac{P(S\cap F^{c})}{P(F^{c})}=\frac{0.11}{(1-0.54)}=0.2391$

Thus, the probability of a successful product given the product is unfavorable is 0.2391.

(3)

Compute the value of $P (S^{c}|F)$ as follows:

$P (S^{c}|F)=\frac{P(S^{c}\cap F)}{P(F)}=\frac{0.12}{0.54}=0.2222$

Thus, the probability of a unsuccessful product given the product is favorable is 0.2222.

(4)

Compute the value of $P (S^{c}|F^{c})$ as follows:

$P (S^{c}|F)=\frac{P(S^{c}\cap F^{c})}{P(F^{c})}=\frac{0.35}{(1-0.54)}=0.7609$

Thus, the probability of a unsuccessful product given the product is favorable is 0.7609.

8 0

4 years ago

I need help on questions 6 and 7 please

Len [333]

We know that the area of a circle is A=pi(radius-^2)
And the circumference formula is C=2(pi)(r)

6) what I did was plug in those diameters in the formula. So
C=2(3.14)(7.5)=41.1
B IS YOUR ANSWER (15)

7)20^2(3.14)=1256
B IS YOUR ANSWER (20)

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3 years ago

Which set of tokens represents 0? Positive Negative Pls helpp!!

yKpoI14uk [10]

Answer:

represent 0

hope it helps

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3 years ago

Bailey can read an average of 16 pages during a 30 minute reading period at school. At this rate, approximately how many hours w

Phoenix [80]

Answer:

10.5 hours for 336 pages

Step-by-step explanation:

16 pgs : 30 mins

336 pgs: __ hours

16+16=32 pages: 30+30=1 hour

for every 1 hour, Bailey reads 32 pages.

6 0

3 years ago