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1 year ago

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Theoretical Probability - Guided Practice#1 - All of the letters in the word Mississippi are written on separate pieces of paper

and putin a hat. Find the probability in drawing the letter s from the hat.O 34.6%O 38.4%O 36.4%0 45.5%

1 answer:

Naily [24]1 year ago

5 0

The probability = outcome/total outcomes

The total of the outcomes is the total number of the letters of the given word, then

The total outcomes = 11

The outcome is the number of letter "s" in the word

The outcome = 4, then

The probability of "s" is

$P(s)=\frac{4}{11}$

To change it to percent multiply it by 100% and round it to the nearest 1 decimal place

$\begin{gathered} P(s)=\frac{4}{11}\times100 \\ P(s)=36.4 \end{gathered}$

The answer is 36.4%

Answer C

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16. From past experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain o

Lynna [10]

Answer:

E(x)=0.15

V(x)=0.3075

S(x)=0.5545

Step-by-step explanation:

The mean of a discrete variable is calculated as:

$E(x)=x_1*p(x_1)+x_2*p(x_2)+...+x_n*p(n)$

where $x_1,x_2,...,x_n$ are the values that the variable can take and $p(x_1),p(x_2),...,p(x_n)$ are their respective probabilities.

So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

$E(x)=(0*0.92)+(1*0.03)+(2*0.03)+(3*0.02)=0.15$

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.

At the same way, the variance V(x) is calculated as:

$V(x)=E(x^2)-(E(x))^2$

Where $E(x^2)=x_1^2*p(x_1)+x_2^2*p(x_2)+...+x_n^2*p(n)$

So, the variance V(x) is equal to:

$E(x^2)=(0^2*0.92)+(1^2*0.03)+(2^2*0.03)+(3^2*0.02)=0.33\\V(x)=0.33-(0.15)^2\\V(x)=0.3075$

Finally, the standard deviation is calculated as:

$S(x)=\sqrt{V(x)} \\S(x)=\sqrt{0.3075} \\S(x)=0.5545$

8 0

3 years ago

Read 2 more answers

What is -2b - 6 + 3b - 2 simplified?

Naya [18.7K]

Answer:

b - 8

Step-by-step explanation:

3b - 2b = b

-6 - 2 = 8

= b - 8

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4 years ago

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Simplify: ( ++)2 + ( −+)2 + ( +−)2

swat32

Answer:

$-2$

Step-by-step explanation:

$( ++)2 + ( -+)2 + ( +-)2$

$++ = +$

$-+ = -$

$+- = -$

$( +)2 + ( -)2 + ( -)2$

$2-2-2$

$=-2$

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4 years ago

Lisa is planning to buy oak fence to put around her (-7x-3) feet by (9x+2) feet rectangular garden. If each foot of oak fence co

KIM [24]

Given:

Dimensions of rectangular garden are (-7x-3) feet by (9x+2) feet.

Cost of oak fencing = $11 per foot

To find:

The cost of total oak fencing around her garden.

Solution:

Let,

Length of the garden, l = (-7x-3) feet

Width of the garden, w = (9x+2) feet

$\text{Perimeter of garden}= 2(l+w)$

$\text{Perimeter of garden}= 2(-7x-3+9x+2)$

$\text{Perimeter of garden}= 2(2x-1)$

$\text{Perimeter of garden}= 4x-2$

So, the perimeter of garden is (4x-2) fee.

Cost of oak fencing is $11 per foot. So, total cost is

$11(4x-2)=44x-22$

Therefore, the total cost of oak fencing is 44x-22x.

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3 years ago

What is the purpose of the cell membrane?

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The answer to yo question is 4

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3 years ago