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Tcecarenko [31]
2 years ago
6

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
I am Lyosha [343]2 years ago
7 0

Answer:

<h2>5,040 I'm sure that's answer thank you</h2>
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QUESTION 2 of 10: True or False: Eating one large meal per day is the best way to maintain your health.
Artist 52 [7]

Answer:

True

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The mean amount purchased by a typical customer at Churchill's Grocery Store is $26.00 with a standard deviation of $6.00. Assum
Vadim26 [7]

Answer:

a) 0.0951

b) 0.8098

c) Between $24.75 and $27.25.

Step-by-step explanation:

To solve this question, we need 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 26, \sigma = 6, n = 62, s = \frac{6}{\sqrt{62}} = 0.762

(a)

What is the likelihood the sample mean is at least $27.00?

This is 1 subtracted by the pvalue of Z when X = 27. So

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

By the Central Limit Theorem

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

Z = \frac{27 - 26}{0.762}

Z = 1.31

Z = 1.31 has a pvalue of 0.9049

1 - 0.9049 = 0.0951

(b)

What is the likelihood the sample mean is greater than $25.00 but less than $27.00?

This is the pvalue of Z when X = 27 subtracted by the pvalue of Z when X = 25. So

X = 27

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

Z = \frac{27 - 26}{0.762}

Z = 1.31

Z = 1.31 has a pvalue of 0.9049

X = 25

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

Z = \frac{25 - 26}{0.762}

Z = -1.31

Z = -1.31 has a pvalue of 0.0951

0.9049 - 0.0951 = 0.8098

c)Within what limits will 90 percent of the sample means occur?

50 - 90/2 = 5

50 + 90/2 = 95

Between the 5th and the 95th percentile.

5th percentile

X when Z has a pvalue of 0.05. So X when Z = -1.645

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

-1.645 = \frac{X - 26}{0.762}

X - 26 = -1.645*0.762

X = 24.75

95th percentile

X when Z has a pvalue of 0.95. So X when Z = 1.645

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

1.645 = \frac{X - 26}{0.762}

X - 26 = 1.645*0.762

X = 27.25

Between $24.75 and $27.25.

3 0
3 years ago
Adam found a bag of money that he split with 22 friends.
olasank [31]

Answer:

x/23

Step-by-step explanation:

The bag of money can be represented by x

Adam is 1 person.

1 + 22 = 23

x is divided by 23

x/23

~ Zoe

6 0
2 years ago
Can somebody please help me? I don't understand this!
Xelga [282]
Use the base of the triangle as the diameter, which in this case is 16, divide it by 2, which is 8, and then square it, which is 64, and multiply by Pi (64 times Pi is 200.96) so you can find the area of the whole circle which is 200.96ft^2. Since this is an equilateral triangle, the height might be 16, so using the area of a triangle, A=BH times 1/2, We multiply 16 by 16 which is 256. 256 times 1/2 is 128. So the area of the triangle will be 128ft^2. We then subtract our areas, 200.96-128 which is 72.96. Then therefore the area of the circle will be 72.96ft^2. I may be wrong, but this is what I think.
5 0
3 years ago
The longest diagonal
Ratling [72]
The diagonals are:
diagonal₁=2x+3y
diagonal₂=(x+8)+(2y+5)
We have to solve the following system of equations:
2x=3y
(x+8)=(2y+5)
We solve this system by substitution method:
2x=3y  ⇒x=3y/2

(3y/2 +8)=2y+5
3y+16=4y+10
-y=-6
y=6

x=3y/2=3*6/2=9

we obtain the measure of the diagonals:
diagonal₁=2x+3y=2*9+3*6=18+18=36
diagonal₂=(x+8)+(2y+5)=(9+8)+(2*6+5)=17+17=34

Answer: The longest diagonal is 36 units. 
8 0
3 years ago
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