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3 years ago

An equation ___ has one solution A. Always B. Sometimes C. Never

Mathematics

1 answer:

Doss [256]3 years ago

4 0

im am pretty sure it is b.sometimes because an equation can have more then one answer

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ellen had 25 hair clips,7 of them were blue and the rest are purple.what percent of hair clips were purple

strojnjashka [21]

Answer=72%

25-7=18purple clips

18 x
____=____
25 100

cross multiply
25x=1800
divide both sides by 25
x=72%

6 0

3 years ago

Read 2 more answers

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

Evaluate f (2) if f (x)= 10-x^3

weeeeeb [17]

<span> f (x)= 10-x³.
f(2) means the value of the function when x=2.
So, we need to substitute 2 instead of x.

f(2) = 10 - 2³ = 10-8 =2

f(2) = 2

</span>

7 0

3 years ago

Which graph shows the rotation of the shape above, 90° counterclockwise about the origin?

lara31 [8.8K]

Answer:

Step-by-step explanation:

the rule of a 90⁰ counterclockwise rotation is (x,y) -> (-y,x)

For example, if you rotated a point at (3,2) by 90⁰ counterclockwise. You would change it to (-2,3).

5 0

3 years ago

Here is the better photo... Please help

coldgirl [10]

Answer:

I like ur pic ..............

3 0

2 years ago

Read 2 more answers