In the figure below, n II g. Find the values of y and x.

Answer:

on which one?

Answer:

This is curve sketching which is used in math

Step-by-step explanation:

we can see a graph plotting with the equation...of all sides

Answer:

a) The mean is 0.7 and the standard deviation is 0.1033.

b) 99.11% probability that the average number of moths in 40 traps is greater than 0.4.

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 normal distributions can be solved using the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

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

When traps are checked periodically, the mean number of moths trapped is only 0.7, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.8.

This means that [tex]\mu = 0.7, \sigma = 0.8[/tex]

A) What are the mean and standard deviation of the average number of moths x in 60 traps?

60 traps means that [tex]n = 60[/tex]

By the Central Limit Theorem

Mean [tex]\mu = 0.7[/tex]

Standard deviation [tex]s = \frac{0.8}{\sqrt{60}} = 0.1033[/tex]

The mean is 0.7 and the standard deviation is 0.1033.

B) Use the central limit theorem to find the probability (±0.01) that the average number of moths in 40 traps is greater than 0.4.

40 traps means that [tex]n = 40[/tex]

Mean [tex]\mu = 0.7[/tex]

Standard deviation [tex]s = \frac{0.8}{\sqrt{40}} = 0.1265[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 0.4. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.4 - 0.7}{0.1265}[/tex]

[tex]Z = -2.37[/tex]

[tex]Z = -2.37[/tex] has a pvalue of 0.0089

1 - 0.0089 = 0.9911

99.11% probability that the average number of moths in 40 traps is greater than 0.4.

Answer:

1.5 moles

Step-by-step explanation:

number of moles = no. of particles / Avagadro number

therefore, number of moles. = 9.033 * 10^23 / 6.022 * 10^23

therefore, no. of moles = 1.5

There are 1.5 moles in 9.033 * 10^23 Lithium atoms.

Answer:

what is the question?

Step-by-step explanation:

Answer:

The 90% confidence interval for the true population of Americans with asparagus anosmia is (0.5926, 0.6120).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Researchers contacted 6909 participants in a large scientific cohort and found that 4161 had asparagus anosmia.

This means that [tex]n = 6909, \pi = \frac{4161}{6909} = 0.6023[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6023 - 1.645\sqrt{\frac{0.6023*0.3977}{6906}} = 0.5926[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6023 + 1.645\sqrt{\frac{0.6023*0.3977}{6906}} = 0.6120[/tex]

The 90% confidence interval for the true population of Americans with asparagus anosmia is (0.5926, 0.6120).

Answer:

23 i think im not allway right

Step-by-step explanation:

Answer:

B. The sample size is too small to represent the population

Step-by-step explanation:

Logically speaking, this is correct because out of an ENTIRE day of customers entering a craft shop, more than 5 people enter the store. Due to this, Cara should've surveyed a larger number of customers.

Answer:

the answer is 3/6 cause you go up 3 and over 6

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].

Step-by-step explanation:

First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.

1) [tex]\frac{200}{2} = 100[/tex] (Even number)

2) [tex]\frac{100}{2} = 50[/tex] (Even number)

3) [tex]\frac{50}{2} = 25[/tex] (Even number)

4) [tex]\frac{25}{5} = 5[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

5) [tex]\frac{5}{5} = 1[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

Now, we construct the prime factorization using exponential notation:

[tex]200 = 2^{3}\times 5^{2}[/tex]

The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].

Answer:

2 * 3 * 5

Step-by-step explanation:

made a 100 on the text trust!!!!!

Step-by-step explanation:

x is less than -10

x is greater than or equal to 25

Answer:

The negative part of the solution set is ignored, because you cannot produce a negative number of phones.

The company has at least an 80% success rate if the next 25 or more phones that are assembled work.

Because the company has already made 10 phones and 7 are not working, if the next 25 phones work, the 35th phone puts the company at its goal of 80% or more.

Step-by-step explanation:

edge 2021

Answer:

if this is a true or false question the answer would be true

Answer:

hi

Step-by-step explanation:

9xy + 5y +

Answer:

D :)

Step-by-step explanation:

Because all of them are added by 12 constantly

Answer:

D

Step-by-step explanation:

because it represents 12 + x

1 + 12 = 13

2 + 12 = 14

etc

Answer:

c

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The angle is a right angle = 90 degrees

17x + 7 + 9x + 5 = 90°

26x + 12 = 90

        -12    -12

26x = 78

/26    /26

x = 3

Hope this helps dude

Answer:

B and A

Step-by-step explanation:

because probabilities are between 0 being not possible and 1 being possible

A. Is not a valid probabily because it is a number great than 1.

Answer:

Step-by-step explanation:

Answer and Step-by-step explanation:

Half of them should be plain, so 46 plain bagels .

This is because the first set was split evenly, so that must mean this set should be split evenly as well.

Half of 92 is 46.

#teamtrees #PAW (Plant And Water)

Answer:

2.35

Step-by-step explanation:

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

3(x + 5) = 5x + 7

Step 2: Solve for x

Answer:

x=4 is your answer

Step-by-step explanation:

3(x+5)=5x+7

3x+15=5x+7

15-7=5x-3x

2x=8

x=8/2=4

Answer:

x = 1

x = 0

x = 1 1/4

Step-by-step explanation:

x = 1

x = 0

x = 1 1/4

The < sign means less than. -1/4 is less than 1, 0, and 1/4, and more than -3/4 and -1. So, 1, 0, and 1 1/4 are the right answers.

Hope that helps!

-Sabrina

Answer:

37.21

Step-by-step explanation:

try the suggested option (see the attachment), the answer is marked with black colour.

Answer:

1. 135°

2. 114°

3. 118°

4. 81°

Step-by-step explanation:

Let "x" represent the measure of the indicated angle in each problem.

1. x = 135° (corresponding angles theorem)

2. x = 180° - 66° (same-side interior angles theorem)

x = 114°

3. x = 118° (alternate interior angles theorem)

4. x = 81° (alternate exterior angles theorem)