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2 years ago

A data set contains three points, and two of the residuals are 7 and -3. What 7

1 answer:

4 0

The data set in discuss which contains three points and two of the residuals are 7 and -3 would have its third residual as; -4.

<h3>What is the third residual if the data set characterized as having 2 of its three residuals to be; 7 and -3?</h3>

According.tinthe task content, the data set in discuss has three points and consequently should have three residuals.

Additionally, two of the three residuals have been given and on this note, it follows that the third residual must have a value such that the algebraic sum of all residuals is 0.

Hence, we have; -3 + 7 +x = 0;

x = 3-7 = 4.

Ultimately, the third residual is; -4.

Read more on residuals in a data set;

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7.4 Practice

pickupchik [31]

The simulation of the medicine and the bowler hat are illustrations of probability

The probability that the medicine is effective on at least two is 0.767
The probability that the medicine is effective on none is 0
The probability that the bowler hits a headpin 4 out of 5 times is 0.3281

<h3>The probability that the medicine is effective on at least two</h3>

From the question,

Numbers 1 to 7 represents the medicine being effective
0, 8 and 9 represents the medicine not being effective

From the simulation, 23 of the 30 randomly generated numbers show that the medicine is effective on at least two

So, the probability is:

p = 23/30

p = 0.767

Hence, the probability that the medicine is effective on at least two is 0.767

<h3>The probability that the medicine is effective on none</h3>

From the simulation, 0 of the 30 randomly generated numbers show that the medicine is effective on none

So, the probability is:

p = 0/30

p = 0

Hence, the probability that the medicine is effective on none is 0

<h3>The probability a bowler hits a headpin</h3>

The probability of hitting a headpin is:

p = 90%

The probability a bowler hits a headpin 4 out of 5 times is:

P(x) = nCx * p^x * (1 - p)^(n - x)

So, we have:

P(4) = 5C4 * (90%)^4 * (1 - 90%)^1

P(4) = 0.3281

Hence, the probability that the bowler hits a headpin 4 out of 5 times is 0.3281

Read more about probabilities at:

brainly.com/question/25870256

8 0

2 years ago

Identify the center and the radius of each.<br><br> x^+y^+26x-22y+281=0

inessss [21]

Answer:

Center (-13,11) , radius 3

Step-by-step explanation:

The given circle has equation

$x^2+y^2+26x-22y+281=0$

We compare this to the general equation.

$x^2+y^2+2ax+2by+c=0$

where (-a,-b) is the center.

This implies that;

2a=26

$\Rightarrow a=13$

2b=-22

b=-11

The center is therefore (-13,11)

The radius is given by

$r=\sqrt{a^2+b^2-c}$

$r=\sqrt{13^2+(-11)^2-281}$

$r=\sqrt{9}$

The radius is 3

3 0

3 years ago

1. Write this translation rule in symbols: 2 units to the right and 3 down.

babunello [35]

Answer:

C. (x + 2, Y - 3)

Step-by-step explanation:

C. (x + 2, Y - 3)

5 0

4 years ago

$35,000 at 2% for 9 years. ending balance and interest

love history [14]

Answer:

$Solution$

Here,

$Principle(p)=$35000\\Rate(r)=2%\\\\Time(t)=9 years$

$Now, Interest(I)=\frac{PTR}{100}$

$=\frac{35000*2*9}{100}\\= $3600$

6 0

2 years ago

We have five samples of data: sample A with 30 successes of 50 cases, sample B with 600 successes of 1000 cases, sample C with 3

faust18 [17]

Answer:

C. with 3000 successes of 5000 cases sample

Step-by-step explanation:

Given that we need to test if the proportion of success is greater than 0.5.

From the given options, we can see that they all have the same proportion which equals to;

Proportion p = 30/50 = 600/1000 = 0.6

p = 0.6

But we can notice that the number of samples in each case is different.

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size

po = Null hypothesized value

p^ = Observed proportion

Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.

Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis

3 0

3 years ago