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2 years ago

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7. The probability that a person living in a certain city owns a dog is estimated to be 0.3. Find the probability that the tenth

person randomly interviewed in that city is the fifth one to own a dog.

1 answer:

STALIN [3.7K]2 years ago

4 0

Answer:lol can somebody please answer this I need an answer I have this question

Step-by-step explanation:

You might be interested in

A machine fills boxes weighing Y lb with X lb of salt, where X and Y are normal with mean 100 lb and 5 lb and standard deviation

Bas_tet [7]

Answer:

Option b. None is the correct option.

The Answer is 63%

Step-by-step explanation:

To solve for this question, we would be using the z score formula

The formula for calculating a z-score is given as:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

We have boxes X and Y. So we will be combining both boxes

Mean of X = 100 lb

Mean of Y = 5 lb

Total mean = 100 + 5 = 105lb

Standard deviation for X = 1 lb

Standard deviation for Y = 0.5 lb

Remember Variance = Standard deviation ²

Variance for X = 1lb² = 1

Variance for Y = 0.5² = 0.25

Total variance = 1 + 0.25 = 1.25

Total standard deviation = √Total variance

= √1.25

Solving our question, we were asked to find the percent of filled boxes weighing between 104 lb and 106 lb are to be expected. Hence,

For 104lb

z = (x-μ)/σ,

z = 104 - 105 / √25

z = -0.89443

Using z score table ,

P( x = z)

P ( x = 104) = P( z = -0.89443) = 0.18555

For 1061b

z = (x-μ)/σ,

z = 106 - 105 / √25

z = 0.89443

Using z score table ,

P( x = z)

P ( x = 106) = P( z = 0.89443) = 0.81445

P(104 ≤ Z ≤ 106) = 0.81445 - 0.18555

= 0.6289

Converting to percentage, we have :

0.6289 × 100 = 62.89%

Approximately = 63 %

Therefore, the percent of filled boxes weighing between 104 lb and 106 lb that are to be expected is 63%

Since there is no 63% in the option, the correct answer is Option b. None.

3 0

2 years ago

Nicole shines a light from a window of a lighthouse on a cliff 250 feet above the water level. Nick 10 feet above the water leve

Allushta [10]

Answer:

4585.8 feet

Step-by-step explanation:

If we draw the triangle, the opposite side to 3° angle would be "10" less than total height of 250 because Nick is 10 feet above water level, so that side will be:

250 - 10 = 240

The hypotenuse of the triangle is the length of line of sight. We can call this "x".

So, using trigonometric ratio of sine (opposite/hypotenuse), we can write:

$Sin(3)=\frac{240}{x}$

Now, we cross multiply and solve for x, line of sight length:

$Sin(3)=\frac{240}{x}\\x=\frac{240}{Sin(3)}\\x=4585.8$

3 0

1 year ago

The geometric average of -12%, 20%, and 25% is _________.

Grace [21]

<span>20.28% is the answer</span>

8 0

2 years ago

3x5 – 7x4 + 6x2 – 14x

Andreas93 [3]

Question is Incomplete; Complete question is given below;

What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x.

Answer:

The Complete factorized form of given equation is $x((x^3+2)(3x-7))$ .

Step-by-step explanation:

Given:

$3x^5-7x^4+6x^2-14x$

We need to factorize the above equation:

Solution:

On Solving the above equation we get;

Step 1:

First we will take a common factor which is 'x' so the equation will become as;

$x(3x^4-7x^3+6x-14)$

Step 2:

Now we will Rewrite the above equation so as to factorize the same we get;

$x(3x^4+6x-7x^3-14)$

Step 3:

Now we take $3x$ common factor from first 2 terms we get;

$x(3x(x^3+2)-7x^3-14)$

Step 4:

Now we will take 7 as common factor from last 2 terms we get;

$x(3x(x^3+2)-7(x^3+2))$

Step 5:

Now we can see the common factor between the 2 terms is $x^3+2$ ;

$x((3x-7)(x^3+2))$

Hence The Complete factorized form of given equation is $x((x^3+2)(3x-7))$ .

4 0

2 years ago

Sally drives from Turlock to Los Angeles at an average speed of 60 miles per hour. Turlock is approximately 300 miles from Lo

docker41 [41]

Answer:

5

Step-by-step explanation:

7 0

2 years ago