which of the following expresses the probability that the observed result could have occurred by chance alone? group of answer choices power false-positives p value confidence interval

Step-by-step explanation:

I don't see any defined inequality here in the text.

but I can tell you what's in the picture. and how the correct inequality would look like.

the function, for which we need to define the range (all valid y-values) is moving between y = 2 and y = -2, including these 2 values.

the inequality shown is

-9 < y < -4

the values -4 and -9 are not included (indicated by the dotted lines).

so, we need to change that to

-2 <= y <= 2

please consider the "<=" signs, as both values have to be included, because the function is clearly also producing -2 and +2 values.

FYI

it would also be correct to write

2 >= y >= -2

To increase by 17% would be 0.17 more than the original number. Therefore, the decimal multiplier to increase by 0.17 would be 1.17.

The probability of getting a z-score greater than 0.15 is approximately 0.5693.

The probability of getting more than 2100 nails in a bag is approximately 0.5693.

The number of nails in a bag is a discrete random variable, so it's not appropriate to use a normal distribution to model it.

Also, the mean of 8.9 and standard deviation of 5.56 are for a single nail, not for a bag of 225 nails.

To answer the question, we need more information on the distribution of the number of nails in a bag.

Assuming that the distribution is approximately normal, the mean of the number of nails in a bag would be 225 * 8.9 = 2009 and the standard deviation would be the square root of 225 * (5.56)^2 = 59.11.

With these values, we can use a standard normal distribution to find the probability of getting more than 2100 nails in a bag:

z = (2100 - 2009) / 59.11 = 0.15

Note: This calculation assumes that the distribution is approximately normal, and that the mean and standard deviation of a single nail are accurate. These assumptions might not hold in practice, so the answer should be taken with caution.

For more questions on probability

https://brainly.com/question/28185528

#SPJ4

Answer:

it took her 54 mins to finish her walk.

Step-by-step explanation:

Given;

total distance walked by Katie, d = ⁵/₆

time taken to walk ¹/₆ mile = 10 mins

break time = 1 min

There are five ¹/₆ mile in the total distance which is ⁵/₆ miles.

Time for the first  ¹/₆ mile  = 10 mins +

                    break time = 1 min

Time for the second  ¹/₆ mile  = 10 mins +

                     break time = 1 min  

Time for the third  ¹/₆ mile  = 10 mins +

                     break time = 1 min  

Time for the fourth  ¹/₆ mile  = 10 mins +

                     break time = 1 min  

Time for the fifth  ¹/₆ mile  = 10 mins

Total time = 5 (10 mins)  + 4 (1 min)

                 = 50 mins + 4mins

                = 54 mins

Therefore, it took her 54 mins to finish her walk.

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

For more such questions on approximately

https://brainly.com/question/29985480

#SPJ8

P(B∣A) is approximately 0.310, rounded to three decimal places.

To find the probability P(B∣A), we can use Bayes' theorem:

P(B∣A)= P(A) / P(A∣B)⋅P(B)

Given information:

P(B)=0.2

P(A∣B)=0.9

P(B')=0.8 (probability of not B)

P(A∣B′)=0.5 (probability of A given not B)

First, we need to calculate

P(A), the probability of event A. We can use the law of total probability to express P(A) in terms of the probabilities related to B and not B:

P(A)=P(A∣B)⋅P(B)+P(A∣B′)⋅P(B′)

Substituting the given values:

P(A)=0.9⋅0.2+0.5⋅0.8=0.18+0.4=0.58

Now, we can substitute the known values into Bayes' theorem:

P(B∣A)= P(A)/ P(A∣B)⋅P(B)

= 0. 9.0.2 / 0.58

Calculating this expression:

P(B∣A)≈ 0.5 80.18 ≈0.310

Therefore, P(B∣A) is approximately 0.310, rounded to three decimal places.

for such more question on probability

https://brainly.com/question/13604758

#SPJ8

Intellectually gifted people score in the top 1 - 2percent on a standard IQ test.

From the question, we have the following parameters that can be used in our computation:

IQ of intellectual gifted people

The general rule is that

People with intellectuals are usually ranked high and the range is usually small

Next, we test the options

A. 10

The top 10% has a high range

B. 5-10

The top 10% omits people in top 5%

C. 5

The top 5% has a high range

D. 1-2

This has a small range and it is the highest

Read more about IQ test at

https://brainly.com/question/31202174

#SPJ1

Answer:

I think it's D

Step-by-step explanation:

Answer:

I think it is C.

Step-by-step explanation:

I think it's C because the 2 is showing how long it took to get to the library.

Therefore, after answering the given query, we can state that With simple interest  a 5% rise per year, Beth's income in 14 years will be $69,394.38.

By dividing the base by the interest income, the time between payments, and many other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula for use in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating payment is as a portion of the principle amount. For example, if he takes $100 from a buddy and undertakes to pay back the loan at 5% interest, he only will pay his share of the 100% curiosity. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must collect interest when you give it. Typically, interest is determined as an indicator of the overall of the loan total. The loan's interest is the name given to this percentage.

The following is the compound interest formula:

A is equal to P(1 + r/n)(n*t), where A is the total sum.

P is equal to the starting principal.

the annual compound interest rate at the annual compound interest rate at the annual compound interest rate at the rate at the rate (as a decimal)

n represents how many times the interest is compounded annually.

t = the duration in years

The beginning wage (P) in this scenario is $37,000, the interest rate (r) is 5%, the number of times compounded (n) is 1 (since we're assuming the raise occurs once a year), and the number of years (t) is 14. This allows us to enter these values into the formula:

A =\($37,000(1 + 0.05/1)^(1*14)\)

A = $37,000(1.05)^14*A =  $69,394.38

With a 5% rise per year, Beth's income in 14 years will be $69,394.38.

To know more about interest visit:

https://brainly.com/question/28792777

#SPJ1

When we perform a reflection over the y-axis then the y-coordinates remain the same but the x-coordinates are inverted (opposite sign).

Example:

As you can see in the above figure, a reflection over the y-axis would look like this.

When we perform a translation of 3 units down then the shape gets shifted downwards by 3 units.

Example:

Therefore, we can see that figure B is the correct answer.

Answer:

the approximately sales tax rate is 7%

the probability of experiencing neither side effect is 0.37 or 37%.let's denote the probability of experiencing nausea by P(n) and the probability of experiencing decreased sexual drive by P(d). We know that:

P(n) = 0.23
P(d) = 0.52
P(n ∩ d) = 0.12

We want to find the probability of experiencing neither side effect, which can be denoted by P(~n ∩ ~d), where ~n and ~d represent the complements of nausea and decreased sexual drive, respectively.

We can use the formula for the probability of the union of two events to find P(~n ∪ ~d):

P(~n ∪ ~d) = 1 - P(n ∪ d)

We know that P(n ∪ d) = P(n) + P(d) - P(n ∩ d), so we can substitute the given values to get:

P(n ∪ d) = 0.23 + 0.52 - 0.12 = 0.63

Therefore,

P(~n ∪ ~d) = 1 - 0.63 = 0.37

So the probability of experiencing neither side effect is 0.37 or 37%.

To  learn  more about probability click here:brainly.com/question/32117953

#SPJ11

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

The number of grams of canned apple that Chantel needs for her apple-cinnamon cake is about 1400 grams.

To know the amount of canned apple that Chantel needs for her apple and cinnamon cake recipe, we must review the amount of apple that she needs for the filling of her cake.

According to the basic recipe to make this cake, we need 6 to 8 apples. Taking into account that each apple weighs about 200g, we can infer that Chantel is going to use about 1400g of canned apple as shown below.

On average we need 7 apples.

Each apple weighs 200g, so 7 apples would be 1400g.

Based on the above, Chantel needs 1400g of canned apple.

Learn more about grams in: https://brainly.com/question/12127497

#SPJ1

The Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

Given that,

Test the idea that the treatment means are equivalent at the 0.05 level of significance using the following data: six observations gathered from treatment 1, four observations gathered from treatment 2, and five observations gathered from treatment 3. treatment 1 therapy two therapies Required: 3 9 13 10 7 20 9 11 14 15 9 13 14 12 15 10.

We have to find name the null and the alternative hypotheses.

We know that,

For the given scenario, the null and alternative hypotheses are stated as below:

Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

Therefore, The Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

To learn more about hypothesis visit: https://brainly.com/question/28920252

#SPJ4

-1.65 in simplest fraction form is -33/20

hope this helps

Answer:

99% sure its D

Step-by-step explanation:

To conduct a follow-up study that would provide 95% confidence that the point estimate is correct to within +0.08 of the population proportion, the required sample size can be calculated using the formula:

n = [(z^2 * p * q) / E^2]

Where:

z = z-score corresponding to the desired confidence level (1.96 for 95% confidence level)

p = point estimate of the population proportion (0.43 in this case)

q = 1 - p

E = acceptable sampling error (0.08 in this case)

Substituting the values, we get:

n = [(1.96^2 * 0.43 * 0.57) / 0.08^2] = 148.15

Rounding up to the nearest integer, we get a required sample size of 148 consumers.

To conduct a follow-up study that would provide 99% confidence that the point estimate is correct to within +0.08 of the population proportion, we need to use a z-score of 2.58 (corresponding to 99% confidence level) in the formula. Substituting the values, we get:

n = [(2.58^2 * 0.43 * 0.57) / 0.08^2] = 266.85

Rounding up to the nearest integer, we get a required sample size of 267 consumers.

To conduct a follow-up study that would provide 95% confidence that the point estimate is correct to within +0.02 of the population proportion, we need to use the same formula with a different value of E. Substituting the values, we get:

n = [(1.96^2 * 0.43 * 0.57) / 0.02^2] = 1,462.41

Rounding up to the nearest integer, we get a required sample size of 1,463 consumers.

To conduct a follow-up study that would provide 99% confidence that the point estimate is correct to within +0.02 of the population proportion, we need to use a z-score of 2.58 in the formula. Substituting the values, we get:

n = [(2.58^2 * 0.43 * 0.57) / 0.02^2] = 6,614.51

Rounding up to the nearest integer, we get a required sample size of 6,615 consumers. The sample size requirements increase as the desired confidence level increases or as the acceptable sampling error decreases. This means that a larger sample size is needed to achieve a higher level of confidence or a smaller margin of error. For example, increasing the desired confidence level from 95% to 99% or decreasing the acceptable sampling error from 0.08 to 0.02 will result in a significant increase in the required sample size. Therefore, researchers need to carefully balance the trade-offs between the desired level of confidence, the acceptable sampling error, and the available resources (time, budget, etc.) to determine an appropriate sample size for their study.

For more questions like brand loyalty visit the link below:

https://brainly.com/question/15712887

#SPJ11

Answer:

The answer is D,

-2 - (square root) 3i

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of Z, calculated using the formula Z = (x - μ) / σ with x = 32, μ = 34, and σ = 1.7, is approximately -1.18 when rounded to two decimal places.

To determine the value of Z using the formula Z = (x - μ) / σ, where x is the observed value, μ is the mean, and σ is the standard deviation, we can plug in the given values and calculate it.

Given:

x = 32

μ = 34

σ = 1.7

Substituting these values into the formula, we have:

Z = (32 - 34) / 1.7

Calculating it:

Z = -2 / 1.7

Z ≈ -1.18

Keystrokes to calculate Z:

32 - 34 = -2

-2 ÷ 1.7 = -1.1764705882352942 (rounded to two decimal places: -1.18)

Different keystrokes to produce the same answer:

34 - 32 = 2

2 ÷ 1.7 = 1.1764705882352942 (rounded to two decimal places: 1.18)

So, the value of Z is approximately -1.18.

To learn more about deviation, click here:

brainly.com/question/29545538

#SPJ11

Answer:

x - 2

Step-by-step explanation:

x minus 2

glad I helped

Answer:

x-2

Step-by-step explanation:

Therefore, the critical value is -1.383 and the rejection region is t < -1.383.

The given data is a left-tailed test with a significance level of 0.10 and a sample size of 10.

We can find the critical value by using the t-distribution table. The degrees of freedom for the given sample size are 10-1=9.

Using the t-distribution table, we can find the critical value for a left-tailed test, which is -1.383.

Hence, the critical value for the given data is -1.383.

The rejection region for a left-tailed test with a significance level of 0.10 is any t-value less than -1.383.

The rejection region for the given data is, t < -1.383.

To know more about t-distribution table visit:

https://brainly.com/question/30401218

#SPJ11

The total amount of almonds and walnuts that the customer bought is 5 lb 3 oz.

To calculate the total amount of almonds and walnuts, we need to convert the weights to a common unit and then add them together.

First, let's convert 1 pound 15 ounces of almonds to a common unit. There are 16 ounces in a pound, so 1 pound 15 ounces is equal to 1 pound + 15 ounces/16 = 1 pound 0.9375 ounces.

Next, let's convert 3 pounds 5 ounces of walnuts to a common unit. Similarly, 3 pounds 5 ounces is equal to 3 pounds + 5 ounces/16 = 3 pounds 0.3125 ounces.

Now, we can add the weights of almonds and walnuts together:

1 pound 0.9375 ounces + 3 pounds 0.3125 ounces = 4 pounds 1.25 ounces.

Finally, we can simplify this to the mixed unit form:

4 pounds + 1.25 ounces = 4 pounds 11 ounces.

Therefore, the total amount of almonds and walnuts that the customer bought is 4 lb 11 oz.

Visit here to learn more about mixed unit :

brainly.com/question/14838130

#SPJ11

Answer:

104 degrees

Step-by-step explanation:

90 + 54 + 132 = 276

360 - 276 = 104

Answer:

5/4÷7/16=20/7

-10/13 x 5/11=-50/143

9/11÷(-20/21)=-189/220

-8/3÷(-5/18)=-48/5

Step-by-step explanation:

hope this helped!!

Alvin's average paddling rate was 6.6 km/h.

We know that,

Speed= Distance/ Time  (solve for distance)

Distance = Speed × Time

To Campsite against the current,

Speed=r-y   ; speed=(r-3)

Time = 8 hours

Distance = (r-3)×8     (equation 1)

From Campsite with the current,

Speed = r + y   ; speed=(r+3)

Time = 3 hours

Distance = (r+3)×3        (equation 2)

Equating equation 1 and equation 2  because distance is same in both case,

(r+3)×3=(r-3)×8

3r+9=8r-24

8r-3r=24+9

5r=33

r=6.6 km/hour.

What does aptitude mean upstream and downstream?

Upstream/Downstream: In the case of water, downstream refers to the direction that follows the stream. Upstream refers to the direction that runs counter to the stream. Speed downstream equals (u + v) km/hr if a boat is moving at u km/hr in still water and v km/hr in a stream.

Learn more about Water current:

https://brainly.com/question/10614015

#SPJ4

Answer: 400

Step-by-step explanation:

doodie fart

The correct option is:(–[infinity], 2) ∪ (2, [infinity])The function `g(x) = (x² + 3x)/(x² + x – 6)`, for x < 3, and the function `g(x) = log2(x + 5)`, for x ≥ 3.

We can see that the function is piecewise.Therefore, to find the domain of a piecewise function, we must determine the domain of each piece and then join the two domains to find the domain of the entire piecewise function. 1. For the first part of the piecewise function, g(x) = (x² + 3x)/(x² + x – 6) is undefined for x = -2 and x = 3. So, the domain of the first piece is (–[infinity], -2) ∪ (-2, 3) ∪ (3, [infinity]).2.

For the second part of the piecewise function, g(x) = log2(x + 5) is defined for all x ≥ -5. Therefore, the domain of the second piece is [-5, [infinity]).Since we are looking for the domain of the entire piecewise function, we need to find the intersection of the domain of each piece: (–[infinity], -2) ∪ (-2, 3) ∪ (3, [infinity]) ∩ [-5, [infinity]) = (–[infinity], -2) ∪ (-2, 3) ∪ (3, [infinity]).The domain of the entire piecewise function is (–[infinity], -2) ∪ (-2, 3) ∪ (3, [infinity]), which can be expressed as (–[infinity], 2) ∪ (2, [infinity]).Hence, the option `(–[infinity], 2) ∪ (2, [infinity])` describes the domain of the given piecewise function.

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ11