-1/2(-3y+10) what would be the answer?

Answer:

The randomization distribution is created under the assumption that H₀: p = 0.1

The randomization distribution will also be centred at 0.1

Step-by-step explanation:

If the distribution was truly random, 1 out of 10 students will choose math as his/her favorite subject.

This means that the randomization will have the null hypothesis saying that the proportion of students who will choose maths as their favourite subject = 0.1

Mathematically, it'll be written as

The null hypothesis is given as

H₀: p = 0.1

And the randomization distribution will be centred at 0.1 too.

The alternative hypothesis will now prove the theory they're looking to see in the question that

Hₐ: p < 0.1

Hope this Helps!!!

Answer:

Determine which of the following are equivalence relations and/or partial CHAPTER 6. RELATIONS 121 ordering relations for the given sets: (a) A = { lines in the plane}, and r defined by xry if and only if x is parallel to y. Assume every line is parallel to itself. (b) A = R and r defined by xry if and only if |x − y| ≤ 7.

A is an Equivalence Relation.

Step-by-step explanation:

For a reflexive case : x is parallel to itself => x R x

For a symmetric : x is parallel to y => y is parallel to x.

Thus, x R y = y R x

For a transitive:  x is parallel to y, and y is parallel to z then x, y, z are parallel to each other.

=> x R y and y R z = x R z

Therefore, A is an Equivalence Relation.

Given Information:

Total number of people = 39

Number of people who tested negative = 33

Number of people who tested positive = 6

Required Information:

Probability of finding a person who tested negative = ?

Answer:

P( x = 1 ) = 0.000315 = 0.0315%

Step-by-step explanation:

Let the probability of success is denoted by those who test negative,

p = 33/39

p = 0.85

Then the probability of failure is denoted by those who test positive,

q = 1 - p = 1 - 0.15 = 0.85

We want to find out the probability of finding a random person who test negative.

P( x = 1 ) = (p³⁹⁻¹)(1 - p)¹

P( x = 1 ) = (0.85³⁹⁻¹)(1 - 0.15)¹

P( x = 1 ) = 0.0021*0.15

P( x = 1 ) = 0.000315

Therefore, the Probability of finding a person who tested negative is 0.0315%

Answer:

its 3mm i promise its right pls make me brainliest

Step-by-step explanation:

Answer:

the answer is 3mm

Step-by-step explanation:

got it right on edge trust me the other guy is right to.

Answer:

y = -1.5x + 11

Step-by-step explanation:

Because the line is parallel, the equation will have the same slope.  To find the slope, convert the given equation to y=mx+b form.  The equation you get should be y = -1.5x + 3.  The slope will be -1.5.

Now using the y=mx+b form, plug in the points given and the slope we found and solve for b.  

5 = -1.5(4) + b

b = 11

Now, with the slope and b, you should get the equation y = -1.5x + 11.

Answer: The speed of one plane is 560 mph and the speed of the other is 460 mph.

Step-by-step explanation: Please see the attachments below

Answer:

Angles A and E are congruent.

Step-by-step explanation:

Angles A and E are congruent because they are alternate interior angles.

Angle A and E are congruent angles. Option A is correct.

In given figure, Line D E and Line A B are parallel.

Which angles are congruent to be determined?

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

Parallel lines are defined as the lines in which every point is equidistant from the corresponding point on the other line and the parallel line met it infinity.

By property of the parallel line, when a line intersect numbers of parallel line the alternate opposite angles are equal.
By property and clear observatin Angle, A is congruent with Angle E. and Angle D is congruent with Angle B, Hence Option A is correct and all the option can be omitted.

Thus, Angle A and E are congruent angles. Option A is correct.

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Answer:

its b

Step-by-step explanation:

FOR THE LENGTH YOU SEE HOW LONG IT IS THEN FINALLY YOU SEE THE WIDTH ITS ONLY ONE AND THEN THE HIGHT HOW TALL IT IS AND THEN YOU MULTIPLY TO GET Your answer

Answer:

c =3

Step-by-step explanation:

4c = 12

Divide each side by 4

4c/4 =12/4

c = 3

Answer:

attached

Step-by-step explanation:

attached

Answer:

-3

Step-by-step explanation:

3 - |-4| - |2|

= 3 - 4 - |2|

= -1 - |2|

= 1 - 2

= -3

(Hope this helps)

Answer:

1380 more jumping jacks

Step-by-step explanation:

Kayla did 243 jumping jacks each day for 30 days, so we multiply 243 by 30 to get the total number of jumping jacks: 243 * 30 = 7290 jumping jacks.

Jean did 289 every day for 30 days, so we multiply 289 by 30 to get the total number of jumping jacks: 289 * 30 = 8670 jumping jacks.

Now subtract 7290 from 8670: 8670 - 7290 = 1380 more jumping jacks.

Hope this helps!

Answer: 1380

Step-by-step explanation : jean did 8760 jumping jacks. kayla did 7920. subtract 7920 from 8760 to get 1380

Final answer:

Option B: the number that represents the middle value in the set of numbers

Explanation:

The median is a statistical measure that represents the middle value in a set of numbers.

To find the median, first, the numbers must be arranged in ascending order. If the number of values (n) in the dataset is odd, the median is the middle value directly.

If n is even, the median is the average of the two middle values. It effectively separates the dataset into two halves, where half of the values are equal to or less than the median, and the other half are equal to or greater than the median value.

For example, in the data set {3, 4, 5, 9, 11}, the median is 5, as it is the middle value of the ordered set.

In another set with an even number of values, for instance, {3, 4, 7, 10}, the median would be the average of 4 and 7, which is 5.5.

This concept is important especially when dealing with outliers, or extreme values, as the median is not affected by them like the mean (average) would be.

Answer:

11.55% probability that the purchase was made with a mobile device and was from Amazon.

Step-by-step explanation:

We have these following probabilities:

21% probability that a Cyber Monday shopper used their mobile device to make a purchase.

55% probability that a purchase made with a mobile device is from Amazon.

What is the probability that the purchase was made with a mobile device and was from Amazon."

55% of 21%

So

P = 0.21*0.55 = 0.1155

11.55% probability that the purchase was made with a mobile device and was from Amazon.

Answer:

[tex]\frac{1}{2}[/tex][tex]t^{2}Sin5t[/tex]

Step-by-step explanation:

using the Convolution theorem to find the inverse of :

     [tex]\frac{5}{s^{3}(s^{2}+25 ) }[/tex]

   [tex]L^{-1}[/tex]  [tex]\frac{5}{s^{3}(s^{2}+25 ) }[/tex] = [tex]\frac{1}{s^{3} }[/tex] × [tex]\frac{5}{s^{2}+25}[/tex]

we know from derivation that

Sin(at) =  [tex]\frac{a}{s^{2}+a^{2} }[/tex]

Hence: [tex]\frac{5}{s^{2}+25}[/tex]  = Sin5t

Also:  [tex]L^{-1}[/tex] [tex]\frac{n!}{s^{n+1} }[/tex] = [tex]t^{n}[/tex]

     [tex]L^{-1}[/tex]  [tex]\frac{1}{s^{3} }[/tex] = [tex]\frac{1}{2}[/tex] [tex]L^{-1}[/tex] ([tex]\frac{2!}{s^{3} }[/tex])

 = [tex]\frac{1}{2}[/tex][tex]t^{2}[/tex]

therefore [tex]L^{-1}[/tex]  [tex]\frac{5}{s^{3}(s^{2}+25 ) }[/tex] = [tex]\frac{1}{2}[/tex][tex]t^{2}Sin5t[/tex]

Answer:

4

Step-by-step explanation:

6 × A = 24

6 × A ÷ 6 = 24 ÷ 6

A = 4

Answer:

A = 4

Step-by-step explanation:

6×A = 24

6A = 24

A = 24 : 6

A = 4

Answer:

1.a. H₀: μ₁ - μ₂ ≤ 0

2.b. H₁: μ₁ - μ₂ > 0

Step-by-step explanation:

Hello!

The objective is to compare the average training time for two groups of airport security personnel.

Group 1: Security personnel that works for the federal government

n= 12

X[bar]= 72 hs

S= 8hs

Group 2: Security personnel from private companies

n= 16

X[bar]= 65.4 hs

S= 12.3 hs

The goal of the analysis is to test if the average training time for government-employed security personnel is higher than those employed by private security companies, symbolically: μ₁ > μ₂

The null and alternative hypotheses are complementary and exhaustive.

The null hypothesis always represents the "no change situation" and therefore always carries the = symbol. Generally, the researcher's claim is stated in the alternative hypothesis.

With all this in consideration, the hypotheses for this experiment are:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

I hope this helps!

c. traingular prism                              

Answer:

Triangular Prism

I'm guessing this means what 3D shape it produces, which would lead my conclusion to it being a triangular prism.

Answer:

Hello! 7% of 98 is 6.86.

Step-by-step explanation:

98 x 0.07 = 6.86

If you move the percentage mark of the 7% two times to the left, you get 7% as a decimal, which is 0.07. You then take 0.07 and multiply it by 98 to get 6.86.

Answer:

Yes it is true.

A note organizer is not important if you know how to take good notes is false.

A note organizer is a tool or system used to help keep notes organized and easy to access.

There are many different types of note organizers, ranging from physical tools like binders or folders to digital tools like note-taking apps or software.

The purpose of a note organizer is to help individuals keep track of important information, categorize and label their notes, and quickly find the information they need when they need it.

We have,

While it is true that taking good notes is essential, having a note organizer can also be important in keeping your notes organized and easily accessible.

A note organizer can help you categorize and label your notes, making it easier to find the information you need when you need it.

Thus,

A note organizer is not important if you know how to take good notes is false.

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Given Information:

Probability of success = p = 0.06

Number of trials = n = 20

Required Information:

Probability of 1 or more donors of "O" blood group = ?

Answer:

P( x ≥ 1 ) = 0.710

Step-by-step explanation:

We are given the probability that a donor has type "O" blood group.

We want to find out the probability of having 1 or more donors who has type "O" blood group out of 20 donors.

P( x ≥ 1 ) = 1 - P( x = 0)

So we will first find the probability that none of the donors has type "O" blood group then we will subtract that from 1 to get the probability of having 1 or more donors with "O" blood group.

P( x = 0) = (p⁰)(1 - p)²⁰

P( x = 0) = (0.06⁰)(1 - 0.06)²⁰

P( x = 0) = (1)(0.94)²⁰

P( x = 0) = 0.290

So the probability of having 1 or more donors with "O" blood group is

P( x ≥ 1 ) = 1 - P( x = 0)

P( x ≥ 1 ) = 1 - 0.290

P( x ≥ 1 ) = 0.710

P( x ≥ 1 ) = 71%

Therefore, the correct answer is D. 0.710

Final answer:

The probability that 1 or more donors have type O blood is approximately 0.370.

Explanation:

The probability that 1 or more donors have type O blood can be found using the complement rule. The complement of the event that 0 donors have type O blood is the event that 1 or more donors have type O blood.

The probability that a donor has type O blood is 0.06. The probability that a donor does not have type O blood is 1 - 0.06 = 0.94. Let's calculate the complement probability:

P(1 or more donors have type O blood) = 1 - P(0 donors have type O blood)

= 1 - (0.94)^{20} (since the donors are independent)

Using a calculator, we get P(1 or more donors have type O blood) ≈ 0.370

Answer:

THE ANSWER IS A. I HAD THE SAME QUESTION

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

The statistic is z=-0.674.

The null hypothesis failed to be rejected.

Step-by-step explanation:

To make conclusions about the effectiveness of the new method, they should perform an hypothesis test on the proportion of failed cancer detection.

The actual method has a proportion of failed cancer detection of p=0.15. If the new method is better, it should have enough evidence that its actual proportion is below 0.15. This claim, that the new method proportion is below 0.15, will be stated in the alternative hypothesis.

The null and alternative hypothesis are:

[tex]H_0: \pi=0.15\\\\H_a:\pi<0.15[/tex]

The sample size is n=70.

The sample proportion is p=8/70=0.114.

The standard error is calculated as:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.15*0.85}{70}}=\sqrt{0.0018}=0.043[/tex]

Then, the z-statistic for this sample is:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.114-0.15+0.5/70}{0.043}=\dfrac{-0.029}{0.043} =-0.674[/tex]

The P-value for this statistic is:

[tex]P-value=P(z<-0.674)=0.25[/tex]

At a significance level of 0.1, the P-value is bigger, so the effect is not significant. The null hypothesis failed to be rejected.

Answer:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

[tex]z=\frac{0.114 -0.15}{\sqrt{\frac{0.15(1-0.15)}{70}}}=-0.844[/tex]  

Step-by-step explanation:

Data given and notation

n=70 represent the random sample taken

X=8 represent the number of the new method failed to detect cancer

[tex]\hat p=\frac{8}{70}=0.114[/tex] estimated proportion of number of the new method failed to detect cancer

[tex]p_o=0.15[/tex] is the value that we want to test

[tex]\alpha[/tex] represent the significance level

z would represent the statistic (variable of interest)

[tex]p_v[/tex] represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the new method is able to detect cancer more accurately than the currently method (that means a lower rate of the proportion of interest) .:  

Null hypothesis:[tex]p \geq 0.15[/tex]  

Alternative hypothesis:[tex]p < 0.15[/tex]  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

The One-Sample Proportion Test is used to assess whether a population proportion [tex]\hat p[/tex] is significantly different from a hypothesized value [tex]p_o[/tex].

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

[tex]z=\frac{0.114 -0.15}{\sqrt{\frac{0.15(1-0.15)}{70}}}=-0.844[/tex]  

The probability distribution function of X, filled in:

X    P(X)

0    1/8

1     3/8  

2    3/8

3     1/8

Possible outcomes: There are 2^3 = 8 possible outcomes when a fair coin is tossed 3 times (HHH, HHT, HTH, THH, HTT, THT, TTH, TTT).

Counting tails: We count the number of tails in each outcome to determine the values of X.

Probability of each X: We calculate the probability of each value of X by counting the outcomes that correspond to that value and dividing by the total number of outcomes (8).

Detailed breakdown:

X = 0: Only one outcome has 0 tails (HHH), so P(X=0) = 1/8.

X = 1: Three outcomes have 1 tail (HHT, HTH, THH), so P(X=1) = 3/8.

X = 2: Three outcomes have 2 tails (HTT, THT, TTH), so P(X=2) = 3/8.

X = 3: Only one outcome has 3 tails (TTT), so P(X=3) = 1/8.

Answer:

You could’ve doing the math wrong... what’s the question?

Step-by-step explanation:

Answer:

Confidence levels and P-values from the t procedures are quite accurate even if the population distribution is not exactly Normal

Step-by-step explanation:

Confidence levels and P-values from the t procedures are quite accurate even if the population distribution is not exactly Normal

there is a general rule that depicts that T is okay to use when n >30. also when the sampling method for each sample is simple random sampling and samples are independent.

Answer:

A. There is enough evidence that p < 0.05 that the mean distance between ball one and two as measured by his computed tomography machine is greater than 16.02mm.

Step-by-step explanation:

n= 5

x bar= 16.02

Standard Error= 0.02236

NB:

The null hypothesis is referred to as a characteristic arithmetic theory that gives a statement that suggests that no statistical relationship and significance exists in a set of given observed variables between two sets of observed data and also, measured phenomena. The hypotheses play a crucial role in testing the significance of differences in experiments and between observations. H o represents the null hypothesis of no difference.

The alternative hypothesis is generally represented as H1. It makes a statement that suggests a potential result or an outcome that a researcher may expect.

Standard error measures how far the sample mean of the data is most likely to be from the true population mean.

We want to test the null and alternative hypothesis

H o : μ = 15.96 vs H1 : μ > 15.96

1. Test statistics

Z= xbar - μ / Standard error

Z= 16.02 - 15.96 / 0.002236

Z= 2.6834

2. P value= 0.0036

3. Yes, there is enough evidence that p < 0.05 that the mean distance between ball one and two as measured by his computed tomography machine is greater than 16.02mm.

Therefore, option A is the correct answer.

Answer:

36.32% probability that the claim amount under liability insurance exceeds the claim amount under collision insurance.

Step-by-step explanation:

Problems of normally distributed samples are 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.

Two variables:

X1 and X2, probability X1 exceeds X2

[tex]\mu(X_{1} - X_{2}) = \mu_{X_{1}} - \mu_{X_{2}}[/tex]

[tex]\sigma^{2}(X_{1} - X_{2}) = \sigma_{X_{1}}^{2} +  \sigma_{X_{2}}^{2}[/tex]

In this problem, we have:

X1: Liability insurance:

So [tex]\mu_{X_{1}} = 9000, \sigma_{X_{1}} = 2000[/tex]

X2: Collusion insurance:

So [tex]\mu_{X_{2}} = 10000, \sigma_{X_{2}} = 2000[/tex]

Then

[tex]\mu(X_{1} - X_{2}) = \mu_{X_{1}} - \mu_{X_{2}} = 9000 - 10000 = -1000[/tex]

[tex]\sigma^{2}(X_{1} - X_{2}) = 2000^{2} + 2000^{2} = 8000000[/tex]

[tex]\sigma = \sqrt{8000000} = 2828.43[/tex]

Assuming independence, find the probability that the claim amount under liability insurance exceeds the claim amount under collision insurance.

This is [tex]P(X_{1} - X_{2} > 0)[/tex], which is 1 subtracted by the pvalue of Z when X = 0. So

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

[tex]Z = \frac{0 - (-1000)}{2828.43}[/tex]

[tex]Z = 0.35[/tex]

[tex]Z = 0.35[/tex] has a pvalue of 0.6368

1 - 0.6368 = 0.3632

36.32% probability that the claim amount under liability insurance exceeds the claim amount under collision insurance.

Answer: 176 degrees and 4 degrees.

Step-by-step explanation: To find the measure of the angles, all you have to do is create an equation. Let's call the supplementary angle x and the other angle 44x, because the other angle is 44*the supplementary angle. Now, we structure the equation 44x + x = 180. The reason we say the sum of the angles is 180 is because any angle plus its supplementary angle equals 180 degrees. From there it's just algebra:

44x + x = 180

45x = 180

x = 180/45

x = 4

We can check our work by substituting x for 4 in the equation:

44*4 + 4 = 180

174 + 4 = 180

180 = 180

Thus, the first angle is 176 degrees and the second is 4 degrees.

Answer:

33,554,432 sectors

Step-by-step explanation:

-We first convert both sizes to a uniform measure(both to be in bytes or gigabytes).

-We convert the drive size into Bytes:

[tex]1GB=1,073,741,824 \ Bytes\\\\\therefore 16GB=16\times1,073,741,824=1.717986918\times10^{10}\ Bytes[/tex]

#We then divide the Drive size by the sector size to get the number of sectors.

-Let X be the number of sectors:

[tex]X=\frac{Drive \ Size}{Sector \ Size}\\\\=\frac{1.717986918\times10^{10}}{512}\\\\=33,554,432[/tex]

Hence, the disk has 33,554,432 sectors.

To calculate the number of sectors in a 16GB disk, you first convert the disk size from GB to bytes. Then, you divide the total bytes by the size in bytes of one sector. So, a 16GB disk has 33,554,432 sectors.

The disk size is provided in gigabytes (GB), but first, we need to convert it into bytes, as sectors are measured in bytes. There are 1,073,741,824 bytes in 1 GB. Therefore, a 16 GB disk has 16 * 1,073,741,824 = 17,179,869,184 bytes.

Since each sector is 512 bytes, we can find the number of sectors by dividing the total number of bytes by the size of one sector: 17,179,869,184 / 512 = 33,554,432 sectors.

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