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Llana [10]
3 years ago
5

Find the mean for the following group of data items. 4.1, 8.9, 3.2, 1.9, 7.3, 6.3, 6.7, 8.6, 3.2, 2.3, 5.9 (Round to 3 decimal p

laces as needed.) The mean is
Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

Answer:

The mean is 5.309.

Step-by-step explanation:

Given group of data,

4.1, 8.9, 3.2, 1.9, 7.3, 6.3, 6.7, 8.6, 3.2, 2.3, 5.9,

Sum = 4.1+ 8.9 + 3.2 + 1.9 + 7.3 + 6.3 + 6.7 + 8.6 + 3.2 + 2.3 + 5.9 = 58.4,

Also, number of observations in the data = 11,

We know that,

Mean=\frac{\text{Sum of all observation}}{\text{Total observations}}

Hence, the mean of given data = \frac{58.4}{11}=5.30909\approx 5.309

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Answer:

The z-score associated with the upper boundary of of this price range is -0.25.

Step-by-step explanation:

It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.

If <em>X</em> represents the price range of drink sales, then

P (X < x) = 0.40

Consider that <em>X</em> follows a Normal distribution.

To compute the probability of a normally distributed random variable we need to first convert the raw score to the <em>z</em>-scores.

The formula to <em>z</em>-score is:

z=\frac{X-\mu}{\sigma}

Then,

P (X < x) = 0.40

⇒ P (Z < z) = 0.40

The value of <em>z</em> for this probability is:

<em>z</em> = -0.25

*Use a <em>z</em>-table.

Thus, the z-score associated with the upper boundary of of this price range is -0.25.

8 0
3 years ago
Find the area of the circle and the sector.
Georgia [21]

Area of a circle is PI x r^2:

Area of circle = 3.14 x 13^2 = 530.66 square meters.

To find the area of the sector multiply the area of the circle by the fraction of the sector

Area of sector = 530.66 x 150/360 = 221.108 square meters ( Round the answer as needed).

6 0
3 years ago
The distance (in miles) traveled by a cyclist is given by d(t) = 5t, where t is the time in seconds. The domain of the function
Ivahew [28]
Answer: option b - all positive real numbers and zero.

The only restriction is that the time cannot be negative (and of course, it has to be a real number, not imaginary).
5 0
3 years ago
Read 2 more answers
A sequence is defined by the equation a1=50 and an=an-1+(-4) what is term a5?
ZanzabumX [31]

Answer:

Step-by-step explanation:

an=an-1+(-4)

a2 = a1 + (-4) = 50 - 4 = 46

a3 = a2 - 4 = 46 - 4 = 42

a4 = a3 - 4 = 42 - 4 = 38

a5 = a4 - 4 = 38 - 4 = 34

6 0
2 years ago
At a snack food manufacturing facility, the quality control engineer must ensure that all products feature the appropriate expir
Helga [31]

Answer:

0.1108 = 11.08% probability that there are exactly 3 faulty candy bars among the seven.

Step-by-step explanation:

The bars are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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)!}

In this question:

60 total candies means that N = 70

12 are faulty, which means that k = 12

Seven are chosen, so n = 7

What is the probability that there are exactly 3 faulty candy bars among the seven?

This is P(X = 3). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 3) = h(3,70,7,12) = \frac{C_{12,3}*C_{48,4}}{C_{60,7}} = 0.1108

0.1108 = 11.08% probability that there are exactly 3 faulty candy bars among the seven.

5 0
3 years ago
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