The number line above shows the solution graph of which inequality?
A) 2x+9 > 25
B) 2x+9 ≥ 25
C) 2x+9 < 25
D) 2x +9 ≤ 25

The claim "The difference between the mean pulse rate of people who do not exercise regularly is higher than the mean pulse rate of people who exercise regularly" is true.

What is meant by mean of data?

In math, mean refers an average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers

Here we have given that a researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise regularly. Independent simple random samples were obtained of 16 people who do not exercise regularly and 12 people who do exercise regularly. The resting pulse rate (in beats per minute) of each person was recorded.

And we need to find the the claim that he difference between the mean pulse rate of people who do not exercise regularly is higher than the mean pulse rate of people who exercise regularly is true or not.

Here we have the hypothesis is H0:μ1−μ2=0H1:μ1−μ2>0

Here the Level of significance is 0.05

And the value of test statistics is calculated as,

=> t = [(X1−X2)−(μ1−μ2)]/[√S1²n1+S2²n2]

=> t = (73.5−69.3)/ [√10.2216+8.7212]

=> t = 1.1734

Hence, the value of test statistics is 1.1734.

And the critical value at 26 degree of freedom from t-table is 1.706, thus it provides insufficient evidence to reject null hypothesis.

Here, there is a direct relationship between the width of san interval or the sample standard deviation.

Therefore, if variance increases the width of an interval also increase and vice versa. Therefore, above statement is true

To know more about Mean here,

https://brainly.com/question/14607350

#SPJ4

a) The type of function that can be used to describe the value of each house is:

b) The functions that define the value of each house are given as follows:

For House 1, the change each year is a percentage, as follows:

312519.92/303417.30 = 303417.30/294580 = 1.03.

Hence, considering the initial value of $294,580, the exponential function is defined as follows:

H1(x) = 294580(1.03)^x.

For House 2, the change each year is a fixed amount, as follows:

313,000 - 304,000 = 304,000 - 295,000 = 9,000.

Hence, considering the initial value of 295,000, the linear function is defined as follows:

H2(x) = 295,000 + 9,000x.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

1) The function that shows the decay is N(t) = 30e^-rt.

2) The percentage rate of decay is 0.98 %.

We know that an element is said to be radioactive if the element can be able to decay spontaneously. The implication of this is that the amount of the element that in the system would continue to be reduced and new daughter nuclei are formed.

We have that;

If the initial mass of the radioactive isotope X has been give to us in the question as 30 g then it follows that we can write the function as;

N(t) = 30e^-rt

N(t) =Mass of the element at time t

r = rate of decay

t = time taken

Since half of the element X would remain after 71 years, we have;

15 = 30e^ -71r

15/30 = e^ -71r

0.5 = e^ -71r

ln 0.5 = -71r

r = ln 0.5/-71

r = 0.0098 or 0.98 %

Learn more about radioactive decay:https://brainly.com/question/1770619

#SPJ1

The builder must pay the bank $6005.66. for further details read below.

A mortgage is a type of loan used to purchase or maintain a home, land, or other types of real estate.

For the given problem We must determine the present value of all the relaxations granted to us over the first two years in order to determine how much the builder must pay the bank for this buydown payment. The output and Excel formulae are listed below.

Monthly payment    726.96

Monthly interest rate   10.%/12

Relaxation value in 1st year:

Amount reduced     C2*50%

No. of months    12

present value    PV(C3,C7, -C6)

Relaxation value in 2nd year:

The amount reduced       C2*25%

No. of months    12

present value    PV(C3,C12, -c11)

Present value today     C13/(1+ C 3)^12

Present value of buy option     C14 + C8

Therefore, the buydown option's current value is $6005.66. In order to provide this option to the customers, the builder must pay the bank $6005.66.

b. It is advised to take advantage of this option since the benefit the house buyer would get, or its current value exceeds the additional cost. Benefits to the purchaser of this option include. The benefit to the buyer equals the Present Value of the BuyDown Option - Additional Payment

Buyer benefit is equal to 6005.66 - 5000, or 1005.66$.

So, if a buyer received this option, he would profit $1005.66. It is thus advised to purchase real estate using this buydown option.

Learn more about mortgages here:

https://brainly.com/question/15074748

#SPJ1

Answer:1=t

2=flase

3=flase

4=flase

5=true

6=true

7flase

8=true

Step-by-step explanation:i spelt false wrong lol

equaled the target population. the sample consisted of all veterinarians who returned the questionnaire is None of the answer choices is correct.

The sample in this case consists of all veterinarians who treat horses with Non-Steroidal Anti-Inflammatory Drugs (NSAIDs). The target population for this study would be all veterinarians who treat horses with NSAIDs. Therefore, since the sample is made up of all veterinarians in the target population, the sample equals the target population. None of the answer choices provided is correct in this scenario.

Learn more about population here

https://brainly.com/question/19538277

#SPJ4

Answer:

m = -4 ; c = 3

Step-by-step explanation:

m is the number that multiplies x

c is the number without letters

Answer:

no solution

y=x^3

y= 2-1 x 1

Step-by-step explanation:

The 95% confidence interval for p, the proportion of all adults who exercise regularly is (0.46, 0.66).

What is a confidence interval?

An estimated range for an unknown parameter is known as a confidence interval. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.

Here, we have

Given

Sample size(n) = 100

x = 56

Sample proportion (p) = x/n = 56/100 = 0.56

Here, c =  95%, a = 0.95

1-a = 0.05, a/2 = 0.025

Z(a/2) = 1.96

95% confidence interval for p is:

= p-Z(a/2)√{p(1-p)}/n, p+Z(a/2)√{p(1-p)}/n

= 0.56- 1.96√{0.56(1-0.56)}/100, 0.56+1.96√{0.56(1-0.56)}/100

= 0.56 - 0.0972, 0.56+0.0972

= 0.4628, 0.6572

= (0.46, 0.66)

Hence, the 95% confidence interval for p, the proportion of all adults who exercise regularly is (0.46, 0.66).

To learn more about the confidence interval from the given link

https://brainly.com/question/15712887

#SPJ1

Answer:

1. To find the probability that a randomly selected test has a score of 90 or higher, we need to find the z-score corresponding to a score of 90 and then use the standard normal table to find the probability that a score is greater than or equal to this value. To find the z-score, we can use the formula:

z = (x - mean) / standard deviation

where x is the score we are interested in, mean is the average score, and standard deviation is the standard deviation of the distribution. Plugging in the values from the problem, we get:

z = (90 - 75) / 8 = 1.875

Rounding this value to the nearest hundredth, we get z = 1.88. Looking up this value in the standard normal table, we find that the probability that a score is greater than or equal to 1.88 is 0.9637. Therefore, the probability that a randomly selected test has a score of 90 or higher is 0.9637.

2. To find the probability that the grill will last less than 3 years, we need to find the z-score corresponding to a life of 3 years and then use the standard normal table to find the probability that a life is less than this value. To find the z-score, we can use the formula:

z = (x - mean) / standard deviation

where x is the value we are interested in, mean is the average value, and standard deviation is the standard deviation of the distribution. Plugging in the values from the problem, we get:

z = (3 - 3.5) / 0.35 = -1.43

Rounding this value to the nearest hundredth, we get z = -1.43. Looking up this value in the standard normal table, we find that the probability that a life is less than -1.43 is 0.0747. Therefore, the probability that the grill will last less than 3 years is 0.0747.

3. To find the probability that the ambulance will respond within 6 to 8 minutes, we need to find the z-scores corresponding to a response time of 6 and 8 minutes, respectively, and then use the standard normal table to find the probability that a response time is between these two values. To find the z-score, we can use the formula:

z = (x - mean) / standard deviation

where x is the value we are interested in, mean is the average value, and standard deviation is the standard deviation of the distribution. Plugging in the values from the problem, we get:

z1 = (6 - 7.5) / 2.5 = -0.6

z2 = (8 - 7.5) / 2.5 = 0.2

Rounding these values to the nearest hundredth, we get z1 = -0.6 and z2 = 0.2. Looking up these values in the standard normal table, we find that the probability that a response time is less than -0.6 is 0.2743 and the probability that a response time is less than 0.2 is 0.5398. Therefore, the probability that a response time is between -0.6 and 0.2 is 0.5398 - 0.2743 = 0.2655. Therefore, the probability that the ambulance will respond within 6 to 8 minutes is 0.2655.

1. The probability that a randomly selected test has a score of 90 or higher is 0.0301.

2. The probability that the grill will last less than 3 years is 0.0764.

3. The probability that an ambulance will respond within 6 to 8 minutes is 0.1465.

In Mathematics and Statistics, the z-score of a given sample size or data set can be calculated by using the following formula:

Z-score, z = (x - μ)/σ

Where:

Part 1.

By substituting the given parameters, we have the following:

Z-score, z = (90 - 75)/8

Z-score, z = 1.88

Based on the standardized normal distribution table, the required probability is given by:

P(Z ≥ 1.88) = 1 - P(x < Z)

P(Z ≥ 1.88) = 1 - 0.9699

Probability = 0.0301.

Part 2.

By substituting the given parameters, we have the following:

Z-score, z = (3 - 3.5)/0.35

Z-score, z = -1.43

Based on the standardized normal distribution table, the required probability is given by:

P(Z < -1.43) = 1 - P(x > Z)

P(Z < -1.43) = 1 - 0.9236

Probability = 0.0764.

Part 3.

At 6 minutes, we have:

Z-score, z = (6 - 7.5)/2.5

Z-score, z = -0.6

At 8 minutes, we have:

Z-score, z = (8 - 7.5)/2.5

Z-score, z = 0.2

Based on the standardized normal distribution table, the required probability is given by:

P(6 < x < 8) = P(-0.6 < z < 0.2)

P(-0.6 < z < 0.2) = P(z < 0.2) - P(z < -0.6)

P(-0.6 < z < 0.2) = 0.42074 - 0.27425

P(-0.6 < z < 0.2) = 0.1465.

Read more on z-score here: brainly.com/question/26714379

#SPJ2

The circumference of the triangle is 14.3 Units

We know that a triangle is a polygon that has three sides, three angles and three vertices whose sum of interior angles is 180 degrees.

The coordinates of the given  vertices are:

A(2,2)

B(2,4)

C(8,4)

To find the sides of the triangle, we use the formula for distance between two points

/AB/=[tex]\sqrt{(X_{2}-X_{1}) ^{2} +(Y_{2} -Y_{1})^{2} }[/tex]

= applying the figures in the formula we have

[tex]\sqrt{(2-2)^{2}+(2-4)^{2} }[/tex]

AB=√0+4

AB=2 Units

Applying the formula for /AC/

/AC/=[tex]\sqrt{(2-8)^{2}+(2-4)^{2} }[/tex]

simplifying to have

√40

/AC/=6.6 Units

Applying the formula for /BC/

/BC/=[tex]\sqrt{(8-2)^{2} +(4-4)^{2}[/tex]

/BC/=√36

/BC/=6

Therefore, the circumference of the triangle is 2+6+6.3

= 14.3 units

Learn more about circumference on https://brainly.com/question/28757341

#SPJ1

The Gambler's Fallacy is due to treating each throw of the dice as independent of previous throws

The gambler's fallacy, also known as the Monte Carlo fallacy, is when someone mistakenly thinks that the outcome of a prior event or series of events will make a given random occurrence more or less likely to occur.

This kind of thinking is flawed since past occurrences do not alter the likelihood that specific events will occur in the future.

In circumstances where the probability of various events is not independent, the gambler's fallacy is not applicable.

The outcome of previous events, such as the statistical permutation of events, might alter the probability of future happenings in such circumstances.

In response to the query,

The Gambler's Fallacy results from treating each roll of the dice as if it were unrelated to prior rolls. Option(4) is correct

The question is incomplete , the complete question is

The Gambler's Fallacy is due to

(1) greed.

(2) bad luck.

(3) failing to treat each throw of the dice as independent of previous throws.

(4) treating each throw of the dice as independent of previous throws.

(5) regression toward the mean.

To know more about Gambler's fallacy here

https://brainly.com/question/19538430

#SPJ4

Answer:

D

Step-by-step explanation:

b/c

A B and C are not true

Answer:

D

Step-by-step explanation:

We can visualize this by ignoring the constant of 0.3 and remembering the |x| graph.

It has a -x slope when x < 0, and a +x slope when x > 0

The only answer that has a negative slope when x is less than 0 and a positive slope when x is greater than 0 is D.

The gallons of gas that she would need to travel 162 miles will be 4374 gallons.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Since Mackenzie's car used 4 gallons to travel 108 miles. The rate will be:

= 108 / 4

= 27 miles per gallon

The gallons of gas that she would need to travel 162 miles will be:

= 162 × 27

= 4374 gallons.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

Answer:

Step-by-step explanation:

According to Tylor theorem,

f(x)=f(a)+f′(a)/1!×(x−a)+f′′(a)/2!×(x−a)2+......+fn(a)/n!×(x−a)n

Tylor series for cosx is

1 - x^2/2! + x^4/4! + x^6/6! + ……

cos (0.3) = 1 - 〖(0.3)〗^2/2! + 〖(0.3)〗^4/4!

The R4 valur is fourth derivative of cosx

f’(x) = -sinx

f’’ (x) = -cosx

f’’’ (x) = sinx

f’’’’ (x) = cosx

Here, a = 0, n = 3, x = 0.3

max l f^4l = cos (0.3)

               = 0.9999

lR_4  (x)l ≤ |0.3-0|^(4+1)/4! × 0.9999

              ≤ 0.00015186

               = 1.51786 × 10^(-4)

R_n (x) = cos (0.3) – (1 - 〖(0.3)〗^2/2!-(0.3)^4/4!)

          = 0.0446

The error of approximation R_4  (x) ≤ 1.2 × 10^(-2) and exact value of error R_4 = 0.0446

The confidence interval for the population mean at significance level is

2.724<μ<30.76 .

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Population standard deviation: σ = 0.45

Sample size: n = 25

Sample Mean: x= 2.90

Х=2.90 represent the sample mean for the sample  

μ population mean (variable of interest)

σ = 0.45 represent the population standard deviation

n=25 represent the sample size  

We have the following distribution for the random variable:

X≈N(μ,σ =0.45)

And by the central theorem we know that the distribution for the sample mean is given by:

X≈N( μ, [tex]\frac{σ}{\sqrt{n} }[/tex])

Since the Confidence is 0.95 or 95%, the value of [tex]\alpha =0.05[/tex] and[tex]\frac{\alpha }{2} =0.025[/tex], and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)" and we see that

Z₁ =±1.96

Now we have everything in order to replace into formula:

[tex]2.90-1.96\frac{0.45}{\sqrt{25} }=2.724[/tex]

[tex]2.90+1.96\frac{0.45}{\sqrt{25} }=3.076[/tex]

So on this case the 95% confidence interval would be given by (2.724:3.076) .

At a significance level, the population mean's confidence interval is 2.724–30.76.

To learn more about confidence interval visit:

brainly.com/question/24131141

#SPJ4

m=(C-12)/a

According to question

C=12+a*m

⇒C-12=a*m

⇒(C-12)/a=m

∴Equation to solve for the number of minutes , m = (C-12)/a

For further information related to linear equation in one variable

https://brainly.com/question/24794429

The exponential growth function that models the population growth of the given city is P(t) = P(0) x e^rt and the population of the city in 2016 is 328,029.39.

The population of the city in 2000 (t=0) = 145,210

The population of the city in 2010 (t=10) = 219,185

Rate of growth for 10 years = ((219185 - 145210)/145210) x 100

Rate of growth for 10 years = 50.943%

Rate of growth per year = Rate of growth for 10 years/10

Rate of growth per year = (50.943/10)%

Rate of growth per year = 5.094%

According to the exponential growth function,

P(t) = P(0) x e^rt

Population in 2016 (t=16) is:

P(16) = 145210 x e^((5.094/100) x 16)

P(16) = 145210 x 2.259

P(16) = 328029.39

To know more about exponential growth function here:

https://brainly.com/question/29301062

#SPJ4

Answer:

Answer found by the following formula/e: CI = A – P

The function rule of the given table is f(x) = -19x + 107.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the table we have,

f(7) = - 21

f(6) = -19

f(-3) = -1

f(8) = -23

The function rule.

f(x) = mx + c

m = (-19 + 21) / (6 - 7)

m = 21/-1

m = -21

f(6) = -19

x = 6 and f(x) = -19

-19 = -21 x 6 + c

-19 + 126 = c

c = 107

Now,

The function rule is f(x) = -19x + 107.

Thus,

f(x) = -19x + 107 is the function rule.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Answer: 6 1/2 yards

Step-by-step explanation: you have to add 1 1/3 + 5/6, which is 2 1/6. 2 1/6x3=6 1/2

An infant drinks about 28 ounces of milk per day. There are 32 ounces in a quart, so the baby drinks 28 ÷ 32 = 0.875 quarts of milk per day.

Four weeks is 4 × 7 = 28 days.

In 4 weeks, the baby drinks 28 × 0.875 = 24.5 quarts of milk.

The probability that the person will not die will be D. 0.99548

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.

Since the probability that the person will die is 814/1000000, the probability that the person will not die will be:

= 1 - 452/100000

= 99548/100000

= 0.99548

The correct option is D.

Learn more about probability on:

brainly.com/question/12488146

#SPJ1

If the probability that a person will die in the next year is 452/100000, the probability that the person will not die in the next year?

A. 99%

B. 0.99548

C. 0.00452

D. 0.99548

A hypothesis Test will be used to check the association the researchers were interested in exist or not. Chi-square test statistic will be used for testing the relationship between gender and participation in the last election.

The hypothesis test we shall use here is -

Chi-square test for independence

Reason - this type of hypothesis test is used to test whether there is a significant association between two categorical variables.

The two variables in this question are hours spent watching TV and cardiovascular fitness.

2.) Test statistic here is

Chi-square test statistic

Reason - here also to test the association we should use the chi-square test for

and thus the test statistic would be Chi-square.

To learn more about test statistics

https://brainly.com/question/14128303

#SPJ4

Answer:

------------------------------------

Use point-slope form first and convert to slope-intercept.

Point-slope form:

Slope-intercept form:

Plug in the values:

Answer:

y = - 1/12x + 5

Step-by-step explanation:

A square-based pyramid has a total of five faces. Four of the faces are triangles and one of the faces is a square. The surface area of a square-based pyramid is the total area of all its sides.

hope this helps!! :D

Check the picture below.

Answer:

Second option (Plot 3-17i. Scale by ✓2/4 .Rotate 45° clockwise.)

Step-by-step explanation:

Given below in the picture.

I hope my answer helps you.

Answer:

Step-by-step explanation:

D. Atlantic Charter

The Atlantic Charter established the creation of the United Nations.

Confidence interval for the population mean time σ for computer repairs is [98.05 , 89.850].

What is confidence interval?

A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.

Main body:

According to question:

N = 110

X bar = 93.9 minutes

σ = 16.9 minutes

value for 99% confidence interval = 2.576

C.I. = x bar ± z*s/√n

C.I. = 93.9 ± 2.576 *16.9 /√110

C.I. = 93.9 ± 4.150

C.I. = [98.05 , 89.850]

Hence , confidence interval for the population mean time σ for computer repairs is [98.05 , 89.850].

to know more about confidence interval , visit:

https://brainly.com/question/15712887

#SPJ1