Determine the slope (5,-4), (19, -17) what is the slope

The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginnin

Schach [20]

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that $p = 0.9$ .

Sample of 10

This means that $n = 10$

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

4 0

3 years ago

Mr. Dash recorded the odometer

Ahat [919]

Answer:

$47.69

Step-by-step explanation:

Total miles per trip:

23219.1 - 23125.6 = 93.5 miles

Amount reimbursed:

93.5*$0.51 = $47.69

6 0

3 years ago

a family has five children The probability of having a gil is 1/2 What is the probability of having exactly 2 girls out of five

My name is Ann [436]

P(no girls in five births) = p(five boys) = (1/2)^5 = 1/32 = 0.0313

4 0

3 years ago

. Aladdin found a cave filled with boxes of gold, measuring 2 inches × 2 inches × 2 inches, and boxes of silver, measuring 1 inc

Viktor [21]

Answer:

Step-by-step explanation:

volume of box=6×6×7 in³

he fits gold 2×2×2

so he fits it in 6×6×6

so number of gold boxes=(6×6×6)/(2×2×2)=27

remaining space=1×6×6

number of silver boxes=(1×6×6)/(1×1×1)=36

total boxes he took=27+36=63

4 0

3 years ago

If a particular set of data is approximately normally distributed, we would find that approximately A) 2 of every 3 observations

Kryger [21]

Answer:

A) No

B) No

C) Yes

Step-by-step explanation:

A) 2 out of three observations is equal to

2/3 = 0.67 or 67 %

We know tha the interval

[μ - σ/2 , μ + σ/2] is approximately 68.3 % of the values

Therefore 2 out of 3 would not fall in that interval

B)

4 out of 5 is 4/5 = 0,8 or 80 % If we examine the interval

[μ - σ , μ + σ ] which is approximately 95. Then value 4/5 ( 0,8)

Therefore 0,8 is out of the interval

C) 19/20 = 0,95 or 95 % is almost exact the value for the interval

[μ - 1.5σ , μ + 1.5σ ] That value is inside μ - 2σ , μ + 2

8 0

3 years ago