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Westkost [7]
3 years ago
11

Need help with 12 plz

Mathematics
1 answer:
Flura [38]3 years ago
8 0

Answer:

see below    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

HOUSE  - LIBRARY                            = 1 3/5 MILES

LIBRARY - MALL - KYLE'S HOUSE   =  1 1/3 + 4/5 = 4/3 + 4/5 =

                                                                    20/15 + 12/15 = 32/15 = 2 2/15 miles



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A popular soft drink is sold in 2-liter (2000 milliliter) bottles. Because of variation in the filling process, bottles have a m
andrezito [222]

Answer:

a) 0.27% probability that the mean is less than 1995 milliliters.

b) 2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

Step-by-step explanation:

To solve this problem, it is important to understand the normal probability distribution and the central limit theorem

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 2000, \sigma = 18

A) If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1995 milliliters?

So n = 100, s = \frac{18}{\sqrt{100}} = 1.8

This probability is the pvalue of Z when X = 1995. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{1995 - 2000}{1.8}

Z = -2.78

Z = -2.78 has a pvalue of 0.0027

So 0.27% probability that the mean is less than 1995 milliliters.

B) What mean overfill or more will occur only 10% of the time for the sample of 100 bottles?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9.

So it is X when Z = 1.28

Z = \frac{X - \mu}{s}

1.28 = \frac{X - 2000}{1.8}

X - 2000 = 1.8*1.28

X = 2002.3

2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

3 0
3 years ago
Lorenzo ate 25 of his bag of almonds. His 4 friends ate equal shares of the remaining bag of almonds. Which expression represent
LiRa [457]

Answer:

(x - 25) / 4

Step-by-step explanation:

In this scenario, we have one unknown variable which is the total of the bag of almonds, therefore we can represent this with the variable x. Since Lorenzo ate 25 of this bag we would need to subtract this from the total of the bag. Then we need to divide the remainder by 4 since each of his friends ate the rest in equal parts. This would leave us with the following expression ...

(x - 25) / 4

3 0
3 years ago
2. What is the value of 6x – 3y if x = 5 and y = 1
vesna_86 [32]

Step-by-step explanation:

x=5,y=-1

6(5)-3(-1)=30+3=33

answer G .33

4 0
3 years ago
the coordinates of a pentagon ABCDE are A(-5,4),B (1,4),C(1,-1), D(-2,-5) and E(-5,-1) what is the perimeter of the pentagon
kogti [31]
Perimeter is a continuous line forming the boundary of a closed geometrical figure. perimeter of a pentagon = AB+BC+CD+DE+EA (that is 5 sided figure) 
so my plan is easy but effective, calculate all those distances using those coordinates with the aid of distance formular. then you add those distances algebraically .
7 0
3 years ago
Read 2 more answers
A parallelogram with the sides of 6 and 10 has a area of 30 square root of 2. Find the measure of each angle of the parallelogra
Vinvika [58]
a=10,b=6,A=30 \sqrt{2} 
\\
\\A=ah_a=ab\sin\theta
\\30 \sqrt{2} =10\times6\times\sin\theta
\\
\\ \sin\theta= \frac{ \sqrt{2} }{2} 
\\
\\ \theta=45^o
\\ \theta_1=180^o -\theta=180^o-45^o=135^o

7 0
3 years ago
Read 2 more answers
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