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2 years ago

Solve the equation by completing the

Mathematics

1 answer:

Pie2 years ago

4 0

Answer:

Does the unkown num have a pr

Step-by-step explanation:

http/answerme.cm

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5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a

SOVA2 [1]

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

the defective probability is constant and independent.
the sample size is bigger than one subject.

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

Sample size (amount of clips in the package): n=20
Probability of defective clips: p=0.01.
number of defective clips that trigger the money-back guarantee: k≥2

The probability of the package being refunded can be calculated as:

$P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169$

6 0

4 years ago

Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32. Ms Ramirez bought 4 rolls of toilet paper and 1

zlopas [31]

Answer:

The cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

Step-by-step explanation:

Given:

Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32.

Ms Ramirez bought 4 rolls of toilet paper and 1 bottle of hand sanitizer for $12.

Now, to find the cost for each item sold.

Let the cost of a roll of toilet paper be $x.$

And the cost of a bottle of hand sanitizer be $y.$

So, the cost of 4 rolls of toilet paper and 1 bottle of hand sanitizer:

$4x+y=12\\\\y=12-4x\ \ \ \ .....(1)$

Now, the cost of 6 rolls of toilet paper and 5 bottles of hand sanitizer:

$6x+5y=32$

Substituting the value of $y$ from equation (1):

$6x+5(12-4x)=32$

$6x+60-20x=32$

$60-14x=32$

Subtracting both sides by 60 we get:

$-14x=-28$

Dividing both sides by -14 we get:

$x=2.$

The cost of a roll of toilet paper = $2.

Now, substituting the value of $x$ in equation (1):

$y=12-4x\\\\y=12-4\times 2\\\\y=12-8\\\\y=4.$

The cost of a bottle of hand sanitizer = $4.

Therefore, the cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

7 0

3 years ago

What is the value of 0.15 divided by 0.05?

larisa [96]

Answer:

0.3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

2+2 ive genuily cant remeber pls help

Naily [24]

Answer:

fish

Step-by-step explanation:

turn one 2 90 degrees clockwise and rotate the other one 270 degrees clockwise and overlap the two and you get fish :3

(funny joke but is its real the answer is 4)

6 0

3 years ago

Make q the subject of p=6q +7

Illusion [34]

Answer:

p= 6q+7

-7. -7

p-7 =6q

/6. /6

p-7/6

Step-by-step explanation:

if you want to make a specific term the subject, you need to isolate it on one side of the equation. You do this by 'getting rid' of anything on the term's side of the equation, starting with whatever's furthest from the term. (think BEMDAS but backwards)

p = 6q + 7

(take 7 from both sides to get rid of +7 on q's side)

p - 7 = 6q + 7 - 7

p - 7 = 6q(divide both sides by 6 to get rid of 6 on q's side)

4 0

3 years ago