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klemol [59]
2 years ago
10

PLEASE HURRY!!!!

Mathematics
1 answer:
____ [38]2 years ago
3 0

Answer:

i think its 19 minunts i could be wrong but if not i hope this helps

Step-by-step explanation:

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The Blair family was one of the first to come to the original 13 colonies (now part of the USA). They had 4 children. Assuming t
Mumz [18]

Answer:

31.25% probability that the Blair family had at least 3 girls

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it was a girl, or it was not. The probability of a child being a girl is independent of any other children. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

They had 4 children.

This means that n = 4

The probability of a child being a girl is 0.5

This means that p = 0.5

Probability of at least 3 children:

P(X \geq 3) = P(X = 3) + P(X = 4)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25

P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.0625

P(X \geq 3) = P(X = 3) + P(X = 4) = 0.25 + 0.0625 = 0.3125

31.25% probability that the Blair family had at least 3 girls

3 0
3 years ago
The graph below represents cans collected for a food drive at willowdale middle
Sophie [7]

Answer:

voce n colocou as latas

Step-by-step explanation:

nao da para saber

descupa

3 0
3 years ago
Read 2 more answers
Evaluate cos(sin^-1(4/5)
PSYCHO15rus [73]

Step-by-step explanation:

Let \:   \: \theta =  \sin^{ - 1}  (\frac{4}{5})  \\  \\  \therefore \:  \sin\theta = \frac{4}{5} \\  \\  \because \:  { \cos}^{2} \theta =1  - { \sin}^{2} \theta  \\  \\  \therefore \: { \cos}^{2} \theta  = 1 - (\frac{4}{5} )^{2}  \\ \\   = 1 -  \frac{16}{25}  \\  \\  =  \frac{25 - 16}{25}  \\  \\  =  \frac{9}{25}  \\  \\   \therefore \:{ \cos}\theta  = \pm \:  \frac{3}{5}  \\  \\  \because \:  \theta \: lie \: in \: the \: first \: quadrant \\  \\  \therefore \: { \cos}\theta  =  \:  \frac{3}{5}  \\ \\  \implies \theta =  { \cos}^{ -1 }  \: \frac{3}{5}\\\\\implies \theta =  { \cos}^{ -1 }  \: \frac{3}{5}= { \sin}^{ -1 }  \: \frac{4}{5} \\  \\  \therefore \:  \cos( \ {sin}^{ - 1}  \frac{4}{5} ) \\ \\ =  \cos( \ {cos}^{ - 1}  \frac{3}{5} )   \\\\ = \frac{3}{5}  \\  \\   \purple{ \boxed{\therefore \: \cos( \ {sin}^{ - 1}  \frac{4}{5} ) = \frac{3}{5}}}

8 0
3 years ago
15y+31=61 how do I solve this
Setler79 [48]
15y + 31 = 61
15y = 61 - 31
15y = 30
y = 30 ÷ 15
<u>y = 2</u>
6 0
3 years ago
What is the rate of change for the sequence shown below. (1,2) (2,2.5) (3,3) (4,3.5) (5,4)
Nataly [62]

Answer:

0.5

Step-by-step explanation:

The given ordered pairs are: (1,2) (2,2.5) (3,3) (4,3.5) (5,4)

The corresponding sequence is :

2,2.5,3,3.5, 4,....

We can see that there is a common difference of d=0.5.

Better still we could use the slope formula:

m =  \frac{y_2-y_1}{x_2-x_1}

We substitute the point (1,2) and (2,2.5).

The rate of change of this sequence is:

m =  \frac{2.5 - 2}{2 - 1}  =  \frac{0.5}{1}  = 0.5

5 0
3 years ago
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