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2 years ago

Find the coordinates of the points where the line x - 2y = 5 intersects the x-axis and y-axis.

1 answer:

3 0

The answer is 3 bcwhehejehehdhdjdjdjdjdjjdjdbudjdjdjd husband ddbus jdjdjdjd jdjdjdjdjjdd iiwwjwjwllqzbz qiwiehdvakansu jjehehenenjendhd

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According to an article, 47% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select

In-s [12.5K]

Answer:

a) $P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b) $P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c) $P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=9, p=0.47)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b. at least one

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule and we got:

$P(X \geq 1)= 1-P(X$

$P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c. between four and six, inclusive.

For this case we want this probability:

$P(4 \leq X \leq 6)$

$P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

6 0

3 years ago

5. Find the mZABC if<br> ZABD = 35°, ZDBC = 55º.

Reika [66]

Answer:

$m\angle ABC=90^o$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

$m\angle ABC=m\angle ABD+m\angle DBC$ ----> by angle addition postulate

substitute the given values

$m\angle ABC=35^o+55^o=90^o$

5 0

3 years ago

Multiply: (5.8 x 10^-6) x (2 x 10^4).

Nitella [24]

Answer:

$1.16*10^{-1}$

Step-by-step explanation:

$(5.8*10^{-6}) *(2*10^{4})\\=11.6*10^{-2}\\=1.16*10^{-1}$

6 0

2 years ago

PLEASE HELP ASAPPPP PLEASE

son4ous [18]

Answer:
The answer is 2

Explanation:
The lowest number that can eliminate the fractions would be 2. And it fits all of them since they are factors of 2.

8 0

3 years ago

Please help somebody

Dmitry [639]

Answer:

Step-by-step explanation:

ok so, assuming that b cannot equal 0, we can divide it on both sides

(3a - 5)/c = b/b

anything divided by itself is 1

(3a - 5)/c = 1

multiply c:

3a - 5 = c

3a = c + 5

a = (c + 5)/3

3 0

3 years ago

Read 2 more answers