The mean number of sick days per employee taken last year by all employees of a large city was 10.6 days. A city administrator is investigating whether the mean number of sick days this year is different from the mean number of sick days last year. The administrator takes a random sample of 40 employees and finds the mean of the sample to be 12.9. A hypothesis test will be conducted as part of the investigation.

Which of the following is the correct set of hypotheses?

A. H0:μ=10.6Ha:μ>10.6 AB. H0:μ=10.6Ha:μ≠10.6 BC. H0:μ=10.6Ha:μ<10.6 CD. H0:μ=12.9Ha:μ≠12.9 DE. H0:μ=12.9Ha:μ<12.9 E

Answer:

A. the number of calories consumed and the amount of weight lost by a person.

E. the thickness of the ice on a lake and the likelihood of falling through the ice.

Step-by-step explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.

An example of negative correlation is;the number of calories consumed and the amount of weight lost by a person.

The term correlation has to do with the way in which two quantities are related. If there is a positive correlation between two quantities, they tend to have a positive slope when plotted.

Two examples of negative correlation are;

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Answer:

[tex]a_n = a_o +(n-1) d[/tex]

[tex] 22.5 = 15 +(2-1) d[/tex]

[tex] d = 22.5-15 =7.5[/tex]

The general expression is:

[tex] a_n = 15+ (n-1)*7.5 , n \geq 1[/tex]

Step-by-step explanation:

For this case we have the following arithmetic sequence given:

15, 22.5, 30,37.5

In order to fidn the recursive rule for this sequence we need to take in count that the general formula for an arithmetic sequence is given by:

[tex]a_n = a_o +(n-1) d[/tex]

Where [tex]a_n[/tex] is the nth term [tex]a_o[/tex] the initial value for the sequence and d the common difference. For this case we have that [tex]a_o =15[/tex]

And for the first term we have:

[tex] 15= 15 +(1-1)d[/tex]

For the second term we have this:

[tex] 22.5 = 15 +(2-1) d[/tex]

And solving for the value of d we got:

[tex] d = 22.5-15 =7.5[/tex]

And for the 3th term we have:

[tex] a_3= 15 +(3-1)*7.5 =30[/tex]

And for the 4th term

[tex]a_4 =15 +(4-1)*7.5 =37.5[/tex]

So then our expression is correct and would be given by:

[tex] a_n = 15+ (n-1)*7.5 , n \geq 1[/tex]

Answer:

2/10 or simplified, 1/5

Step-by-step explanation:

5 are purple out of 10 flowers so 5/10. 3 are pink so 3/10. That leaves 2/10 left, and depending on what your teacher prefers, the simplified answer is 1/5. I hope this helps.

Answer:

7.95.

Step-by-step explanation:

Absolute value is the positive version of that number.

a) The area of a kite is given by [tex]A=\frac{d_{1}d_{2}}{2}[/tex], where [tex]d_{1}, d_{2}[/tex] are the lengths of the diagonals. So the answer is [tex]\frac{1}{2} (40 \times 60)[/tex].

b) Evaluating the expression from part (a), we get the area to be [tex]\boxed{1200 \text{ cm}^{2}}[/tex]

Answer:

The solutions for the equation [tex]x^2\:-\:27=\:67[/tex] are [tex]x=\sqrt{94},\:x=-\sqrt{94}[/tex].

Step-by-step explanation:

To find the solutions for the equation [tex]x^2\:-\:27=\:67[/tex] you must:

[tex]\mathrm{Add\:}27\mathrm{\:to\:both\:sides}\\\\x^2-27+27=67+27[/tex]

[tex]\mathrm{Simplify}\\\\x^2=94[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{94},\:x=-\sqrt{94}[/tex]

Answer:

3 would be the initial value so B

Step-by-step explanation:

Answer:

The answer is There were initially 3 bacteria in the culture.

Step-by-step explanation:

Answer:

r =45.5 units

Step-by-step explanation:

The diameter is twice the radius, or the radius is 1/2 the diameter

r = d/2

r = 91/2

r =45.5 units

Answer: 45.5

Step-by-step explanation: 91/2 because to find the diameter you have to multiply the radius by 2 and now we need to reverse it

Answer:

don't bother commenting im a bot

Step-by-step explanation:

Answer:

5/18 I believe

Step-by-step explanation:

Answer:

[tex]f(x)=2x^2-1\\f(5)=2(5)^2-1\\f(5)=2(25)-1\\f(5)=50-1\\f(5)=49[/tex]

Step-by-step explanation:

Answer:

The team scored 50 points

Step-by-step explanation:

Let the points scored by team be x

We are given that sally was the top scorer woth 30% of the teams points

So, Sally scored points = [tex]30\% \times x[/tex]

Sally scored points = [tex]\frac{30}{100}x[/tex]

We are given that Sally scored 15 points

So, [tex]\frac{30}{100}x=15[/tex]

[tex]30x=1500[/tex]

[tex]x=\frac{1500}{30}[/tex]

x=50

Hence The team scored 50 points

Answer:

Car: Exponential Function

Train: Exponential Function

Step-by-step explanation:

The consecutive differences are quite far from being constant. However, the consecutive ratios are quite close to being constant, being approximately 0.49 for every increase in 2 seconds.Therefore, the speed of the car is best modeled by an exponential function. The consecutive ratios for the trains are quite close to being constant, being approximately 0.56 for every increase in 2 seconds. Therefore, the speed of the train is best modeled by an exponential function.

The data of car is exponential function.

The data of truck is exponential function.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

As, the difference between two consecutive terms is not constant.

but the ratios are quite close to being constant,  approximately 0.49 for every increase in 2 seconds.

The consecutive ratios for the trains are 0.56 for every increase in 2 seconds.

Thus, the speed of the car and truck is an exponential function.

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Answer:

Is there any picture ?

Step-by-step explanation:

Answer:

22 millimetres

Step-by-step explanation:

[tex]width \: of \: rectangle \\ = \frac{area}{length} \\ = \frac{198}{9} \\ = 22 \: millimeters \\ [/tex]

Answer:

d) The t-distribution with 18 degrees of freedom

Step-by-step explanation:

If we have the population standard deviation, we use the standard normal distribution.

Otherwise, if we only have the standard deviation for the sample, we use the t-distribution.

The number of degrees of freedom is the sample size subtracted by 1.

In this problem:

Sample size of 19, we have the standard deviation for the sample.

So the t-distribution will be used to solve this question, with 19-1 = 18 degrees of freedom.

So the correct answer is:

d) The t-distribution with 18 degrees of freedom

In a hypothesis test where the population standard deviation is unknown and estimated by the sample standard deviation, we use the t-distribution with degrees of freedom equal to the sample size minus one. In this case, the distribution of the test statistic would follow a t-distribution with 18 degrees of freedom.

In this particular case, the sample size is 19, and the population standard deviation is unknown and estimated by the sample standard deviation. Because of these conditions, the t-distribution would be used to determine the test statistic. Specifically, we would use the t-distribution with degrees of freedom equaling the sample size minus one, i.e., 18. Therefore, the correct answer among the options given is 'The t-distribution with 18 degrees of freedom'.

For example, suppose we have a set of samples from an unknown population, we compute the sample standard deviation and use it as an estimator of the actual unknown population standard deviation. In such cases, we use the t-distribution with (n-1) degrees of freedom, where n is our sample size. Here, it would be the t-distribution with 18 degrees of freedom because our sample size is 19.

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Answer:

Yes

Step-by-step explanation:

Since we want to test if it is a right triangle, we can use the Pythagorean Theorem

a^2+b^2=c^2

where a and b are the legs (shortest sides) and c is the hypotenuse (longest side)

We have the sides: 24,18 and 30

24 and 18 are the shortest, therefore they are the legs. 30 is the longest, so it is the hypotenuse.

So, a is 24, b is 18 and c is 30

24^2+18^2=30^2

Evaluate the exponents

576+324=900

Add 576 and 324

900=900

This statement is true, so this is a right triangle

Answer:

its 2,21

Step-by-step explanation:

The only point that is in the circle of radius 5 is option A: (2, √21).

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

The distance between a point (x, y) and the origin is:

d = √(x² + y²).

Of the given options, the only one that meets this condition is the one in option A. (2, √21).

If we find the distance to the origin, we get:

d = √(2² + √21²) = √(4 + 21) = 5.

So that is the correct option.

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Complete question:

Which point is on the circle centered at the origin with a radius of 5 units?

Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot

A. (2, StartRoot 21 EndRoot)

B. (2, StartRoot 23 EndRoot)

C. (2, 1)

D. (2, 3)

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

1) x = 17.5

σ = 5

n = 50

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, confidence level of 90% is 1.645

Margin of error = 1.645 × 5/√50 = 1.16

Confidence interval = 17.5 ± 1.16

Answer:

The probability that a randomly selected monthly cell phone bill is less than $95 is 0.9772

Step-by-step explanation:

The average monthly household cellular phone bill is $73.

[tex]\mu = 73[/tex]

Local monthly household cell phone bills are normally distributed with a standard deviation of $11.

[tex]\sigma = 11[/tex]

We are supposed to find the probability that a randomly selected monthly cell phone bill is less than $95 i.e.P(x<95)

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

[tex]Z=\frac{95-73}{11}[/tex]

Z=2

Refer the z table for p value

So,p value = 0.9772

Hence the probability that a randomly selected monthly cell phone bill is less than $95 is 0.9772

Using the z-distribution, it is found that the correct option is:

b. is not significantly greater than 50 percent.

At the null hypothesis, it is tested if the proportion is not significantly greater than 50%, that is:

[tex]H_0: p \leq 0.5[/tex]

At the alternative hypothesis, it is tested if the proportion is significantly greater than 50%, that is:

[tex]H_1: p > 0.5[/tex]

The test statistic is given by:

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

In which:

For this problem, the parameters are: [tex]n = 100, \overline{p} = \frac{55}{100} = 0.55, p = 0.5[/tex].

Hence:

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

[tex]z = \frac{0.55 - 0.5}{\sqrt{\frac{0.5(0.5)}{100}}}[/tex]

[tex]z = 1[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, using the z-distribution with a significance level of 0.05, is of [tex]z^{\ast} = 1.645[/tex].

Since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that the proportion is greater than 50%, hence, option b is correct.

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Answer:

1: 20

2: 2020

Step-by-step explanation:

just got it man so ima go yeet

The group will have  290 members in the year 2020

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here, the equation is  y = 14x + 10 and we are required to have 290 members  thus,                     290=14x + 10

                                                 x= 280/14

                                                 x = 20 years

Hence the number of years required to achieve 290 members is equal to 20 years.

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Answer:

Which set shows greater variability? Set B

Which measure provides greater variability for the set you chose? Range

Answer:

Set B

Range

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

Option A is the correct answer. That is a nonresponse occurred.

Given that, a hospital did a 10-year study on patients who use his services. 1000 patients were randomly selected and followed over a period of 10 years to determine the average number of visits per year.

An opinion poll, often simply referred to as a poll or a survey, is a human research survey of public opinion from a particular sample.

Look at the explanation given below for the options:

Option A:

We understand that in the span of 10 years, 1000 patients were monitored, and among those were some individuals who had moved. These certain individuals are not responsive anymore, and can not be a source of data, and the poll would be incorrect if the hospital decided to switch out the patients in the midst of the decade. Therefore we are to assume a nonresponse occurred. (To define nonresponse, it is simply a failure to respond, which is indeed what is defined for those who had moved.)

Option B:

It is not B for the two variables have no correlation.

Option C:

It is not C for all patients were at first patrons and the problem did not explicitly state there was missing info.

Option D:

It is incorrect for it said the sample group was selected at random.

Therefore, with the process of elimination, option A would still be the correct answer.

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A hospital did a 10-year study on patients who use his services. 1000 patients were randomly selected and followed over a period of 10 years to determine the average number of visits per year. By the end of the 10 years. Some of the patients had left the area. Identify the problem with the poll.

A) A nonresponse occurred

B) The relationship between two variables implies one causes the other

C) Some of the sample data are missing

D) The conclusion is based on a voluntary response sample

Answer:

Jada can do 48 loads of laundry.

Step-by-step explanation:

There are 6 cups of detergent in the bottle. If Jada uses 1/8 cup of detergent each load you would have to find out how many 1/8 cups are in 6 cups. There are 8, 1/8 cups in 1 cup. So you would do 6 time 8, which equals 48 loads.

Answer: I literally gust took the the test and the answer is 112.

Your welcome!!

The simplified expression is x+5.

To simplify the expression x^2 +3x−10 /x−2, you can use polynomial long division or factorization.

Here's how to do it by factorization:

Factor the numerator

x^2 +3x−10:

x^2 +3x−10=(x+5)(x−2)

Rewrite the expression with the factored form of the numerator:

(x+5)(x−2)/ x−2

​Cancel out the common factor of x−2:

(x−2) /(x+5) /x−2

The simplified expression is x+5.

So, x^2 +3x−10/ x−2​ =x+5.