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emmainna [20.7K]
3 years ago
6

Which of the following statements best describe tge positive solution of the equation x2=2

Mathematics
1 answer:
777dan777 [17]3 years ago
4 0
X is obviously 1
1x2=2
Entao...(So...)
Please mark as brainliest
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Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 117 mg/dl and
TiliK225 [7]

Answer:

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

Step-by-step explanation:

To solve this problem, 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 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 \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 117, \sigma = 10.6, n = 6, s = \frac{10.6}{\sqrt{6}} = 4.33

What is the level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L ?

This is the value of X when Z has a pvalue of 1-0.01 = 0.99. So X when Z = 2.33.

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

By the Central Limit Theorem

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

2.33 = \frac{X - 117}{4.33}

X - 117 = 2.33*4.33

X = 127.1

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

6 0
3 years ago
How do i write 658.129 in expanded form?
Orlov [11]
Six hundred fifty eight and one hundred twenty nine thousandths
5 0
3 years ago
Read 2 more answers
For a button to fit through its button-hole the hole needs to be the size of the buttons diameter what size buttonhole is needed
Lena [83]

Answer:the size of the button hole is 2.35 cm

Step-by-step explanation:

For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.

The formula for determining the circumference of a circle is expressed as

Circumference = πd or 2πr

Where

d represents the diameter of the circle

π is a constant given as 3.14

From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be

d = circumference/π = 7.38/3.14

d = 2.35 cm

3 0
3 years ago
What is the sum of the geometric sequence -4, 24, -144, ... if there are 6 terms?
kondor19780726 [428]

Answer:

1556963

Step-by-step explanation:

vjrogjrogjogjrg

6 0
3 years ago
A geologist has two rocks on a scale that weighs 2 1/2 pounds together rock A was 1/7 of the total weight. How much did rock A w
jarptica [38.1K]
5/14 is the answer. I'll do my best bud
Answer↑

Steps↓
Convert 2 1/2 to an improper fraction:
2 + 2+ 1 over 2

Once you add the numbers, that will be 5/2.

Now, multiply that with 1/7:
5/2 • 1/7

Your answer will be 5/14

Therefore, Rock A weighs 5/14 pounds
7 0
3 years ago
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