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3 years ago

Justin bought a package of pens that contained one black one blue and one red pen he randomly pulled two pens out of the package

Mathematics

1 answer:

Nataly_w [17]3 years ago

5 0

A:
black,blue
black,red
blue,red

B:
red,black
red,blue
red,green
black,blue
black,green
blue,green

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Solve for x in the equation x^2-10x+25=35.

KatRina [158]

So, this is too vague but I'll solve for both quadratic formula and find the discriminant.

Quadratic formula: x=5+√35 OR x=5−√35
Finding the discriminant: 141

3 0

3 years ago

Read 2 more answers

Write one and two hundred fifty three thousandths in standard form

aivan3 [116]

1.253
Is the answer to ur question

6 0

3 years ago

Simplify the expressions and evaluate for (i) y = -2, (ii) y = 3. 3y (2y-7) - 3 (y - 4) - 63

Diano4ka-milaya [45]

Simplified expression is 6y² - 24y - 51. Value for y=-2 is 21 and value for y=3 is -69.

Step-by-step explanation:

Step 1: Given expression is 3y(2y-7) - 3(y - 4) - 63. Simplify it.

⇒ 6y² - 21y - 3y + 12 - 63

⇒ 6y² - 24y - 51

Step 2: Find value of the expression for y = -2

⇒ 6y² - 24y - 51 = 6(-2)² - 24(-2) - 51 = 24 + 48 - 51 = 21

Step 3: Find value of the expression for y = 3

⇒ ⇒ 6y² - 24y - 51 = 6(3)² - 24(3) - 51 = 54 - 72 - 51 = -69

8 0

3 years ago

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

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".

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

$X \sim Binom(n=30, p=0.05)$

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:

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

Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

3 0

2 years ago

Find the value of $1000 deposited for 10 years in an account paying 6% annual interest compound

Romashka [77]

Answer:

You have to use the formula for compound interest which is: A=P(1+r/n)^nt

The Givens info is:

A=?

P=1000

r= 6% = 0.06 (convert into decimal)

n=12(# of interest periods: since it is monthly n=12)

t=10

Now your formula should look like this:

A= 1000*(1+(0.06/12))^12*10

A=1000*(1.005)^120

A=1000*(1.819396734)

A=$1819.40

Step-by-step explanation:

8 0

2 years ago