anhghuygyygyubbhjhbhjbjhbjhbjhbj

Answer:

There are at least two runners whose times are less than 9 seconds apart.

Step-by-step explanation:

Let's assume that Tₙ is the time of the n-th runner, we know that:

6 min < Tₙ < 7 min

knowing that:

1 min = 60 s

We can rewrite this as:

6*60 s < Tₙ < 7*60 s

360 s < Tₙ < 420 s

We know that there are 7 runners, and we want to see if we can conclude that there are two runners whose times are less than nine seconds.

So, the smallest time allowed in seconds is 361 seconds (the first value larger than 360 seg) while the largest time allowed is 419 seconds (the largest time allowed smallest than 420 seconds).

Now, let's assume that the first runner has the smallest time:

then:

T₁ = 361 s

Now let's add 9 seconds to the time of each runner (here we want to check that we can have all the runners with exactly 9 seconds apart in their times, so we will prove that the statement is false), then:

T₂ = 361s + 9s = 370s

T₃ = 370s + 9s = 379s

T₄ = 379s + 9s = 388s

T₄ = 388s + 9s = 397s

T₅ = 397s + 9s = 406s

T₆ = 406s + 9s = 415s

T₇ =  415s + 9s = 424s

But 424s > 420s

So this is not allowed (as the maximum time allowed was 419 s), so at least two of the runners must have times that are less than 9 seconds apart.

Then;  Can you conclude that there are two runners whose times are less than nine seconds apart? Yes.

Yes conclude that there are two runners whose times are less than nine seconds apart.

Given that,

Number of members = 7

Their mile times are all faster than 7 minutes but not faster than 6 minutes.

We have to determine,

Can you conclude that there are two runners whose times are less than nine seconds apart.

According to the question,

Let's assume that Tₙ is the time of the nth runner,

Then,

[tex]6 min < T_n < 7 min\\\\And \ 1 min = 60 s\\\\6\times 60 s < T_n < 7\times 60 s\\\\360 \ sec < T_n < 420 \ sec[/tex]

There are 7 runners, conclude that there are two runners whose times are less than nine seconds.

So, The smallest time allowed in seconds is 361 seconds (the first value larger than 360 seconds).

While the largest time allowed is 419 seconds (the largest time allowed smallest than 420 seconds).

Therefore,

Let's assume that the first runner has the smallest time:

T₁ = 361 s

Adding 9 seconds to the time of each runner to check that  all the runners with exactly 9 seconds apart in their times.

So, prove that the statement is false

Then:

[tex]T_2 = 361s + 9s = 370s\\\\T_3 = 370s + 9s = 379s\\\\T_4 = 379s + 9s = 388s\\\\T_5 = 388s + 9s = 397s\\\\T_6= 397s + 9s = 406s\\\\T_7 = 406s + 9s = 415s\\\\T_8 = 415s + 9s = 424s[/tex]

Here, [tex]424s>420s[/tex]

So, There is not allowed (as the maximum time allowed was 419 s), T least two of the runners must have times that are less than 9 seconds apart.

Therefore, Yes conclude that there are two runners whose times are less than nine seconds apart.

To know more about Probability click the link given below.

https://brainly.com/question/23431320

Answer:

394 m

Step-by-step explanation:

From the solution diagram attached ;

The distance between boat and base of hill is represented as d ;

Using the trigonometric relation :

Tan θ = opposite / Adjacent

Tan 13 = 91 / d

Tan 13 * d = 91

d = 91 / Tan(13)

d = 394.16 m

d = 394 m (nearest meter)

Answer:

The Answer is 120

Step-by-step explanation:

The answer is 120 because 5*24 is 120

Answer:

f. cross-sectional sample survey

Step-by-step explanation:

- longitudinal cohort study is when the group of subjects that comprises the cohort is chosen based on a disease or injury and is then monitored over time at routine intervals. In this question, it's not the case as the sample of men were just picked and studied with no special group or cohort.

- If it was case-control observational study, the research would have started with identifying those who have heart failure and those who don't have heart failure but it wasn't the case and thus this is not correct.

- If this was voluntary response sample, it means the men would have been self chosen which means they volunteered to be part of the study if it was of interest to them. But this is not the case here.

- If it was completely randomized experiment, it means that the people sampled would have been randomly assigned to different treatments which was not so in this question.

- If it were to be match pairs experiment, it means the men sampled would be grouped into pairs and each pair will be assigned different treatments which didn't happen in this question.

- If it were to be cross-sectional sample survey, it means that data will be collected from a population of interest to make inferences from that population at a point in time. That is the case here because data about sedentary time or less was taken and compared to know the effect it had on heart failure.

- If it were census, it will just be about getting the size of the population without making inquiries about sedentary time.

Answer: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

In the geometric sequence we can see each time we are dividing by 5. That is the same as multiplying by [tex]\frac{1}{5}[/tex] so that is the common ratio.

Answer:

one solution: (2.5, 0)

Step-by-step explanation:

Given the following system of equations;

y = 2x - 5

-8x - 4y = -20

To find the solution to the equations, we would use the substitution method;

Substituting eqn 1 into eqn 2, we have;

-8x - 4(2x - 5) = -20

-8x - 8x + 20 = -20

-16x + 20 = -20

-16x = -40

x = 40/16

x = 2.5

Next, we would determine the value of y;

y = 2x - 5

y = 2(2.5) - 5

y = 5 - 5

y = 0

Answer:

43

Step-by-step explanation:

20 +6 = 26

26 + 6 = 32

32 + 6 = 38

38 + 6 = 44, not 43

Hope this helps!

Answer:

I think it is (D.)43

becuase if you add 6 to 38 it gives you 44

Hope this helps!!!!!!

Answer:

\frac{3+x\frac{-4}{4xy}}{4x}

4x

3+x  

4xy

−4

​

​

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

that i don't know why

Answer:

(a-14) (a-3)

Step-by-step explanation:

Answer:

(a - 14) (a - 3)

Step-by-step explanation:

a² - 3a - 14 a + 42

a(a - 3) - 14 ( a - 3)

(a - 14) (a - 3)

Answer:

4

Step-by-step explanation:

Since the bases are equal the powers also are equal

so

2x + 1 = x + 5

2x - x = 5 - 1

x = 4

Answer:

the answer is 1.2370 .. give me brainliest

Answer: so a can be -2 and b can be 6, note that there are many combinations since u can factor all types of stuff out including fractions

Step-by-step explanation:

a(bx+3) basically is just factoring out a random common factor between -12x and -18

so we can factor out a -2 to get -2(6x+9)

Answer:

V = 960[tex]\pi[/tex] or 3015.93

Step-by-step explanation:

V = [tex]\pi r^{2} h[/tex]

   = [tex](\pi) (8)^{2} (15)[/tex]

   = 960[tex]\pi[/tex] or 3015.93

Answer:

17

Step-by-step explanation:

Answer:

(1,3)

Step-by-step explanation:

This might be wrong, sorry.

y+4x=7

I would think the pair is

(1,3)

Answer:

x =12.82

Step-by-step explanation:

1/2(x-6.5) = 3.16

Multiply each side by 2

1/2(x-6.5) *2 = 3.16 *2

(x-6.5) = 6.32

Add 6.5 to each side

(x-6.5+6.5) = 6.32+ 6.5

x =12.82

Answer: 12.82

Step-by-step explanation:

1/2(x-6.5)= 3.16

x=12.82

Answer:

p=.1666

11 or 12

2 out of 12

2/12

1/6

p=.1666

Step-by-step explanation:

Answer:

The type of sequence that is show is an arithmetic sequence

Step-by-step explanation:

Answer:

a = 5x

Step-by-step explanation:

The value of an in terms of x will be a = 5x.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expressions are  25x² – 35x – 18 is written as a² – 7a – 18.

The value of an in terms of x will be calculated as:-

25x² – 35x – 18

a² – 7a – 18.

Compare the first term of the two equations,

25x² = a²

a = √25x²

a = 5x

To know more about an expression follow

https://brainly.com/question/20724072

#SPJ2

Answer: The answer is D) $3.35

Step-by-step explanation:

Well if we want to see the price of beef and chicken the same we should use the same variable for them making the equations

[tex]y=2.35+.25x\\y=1.75+.4x[/tex]

now let's subtract the equations for elimination

[tex]y=2.35+.25x\\-y=1.75+.4x\\\\=\\0=.6+-.15x[/tex]

now let's solve for x

[tex]0=.6-.15x\\0-.6=.6-.15x-.6\\-.6=-.15x\\\frac{-.6}{-15} =\frac{-.15x}{-.15} \\4=x[/tex]

now let's sub x into the original equations

[tex]y=2.35+.25(4)\\y=2.35+1\\y=3.35\\\\y=1.75+.4(4)\\y=1.75+1.6\\y=3.35[/tex]

Answer:D

Step-by-step explanation:

I think that it is D since C is obviously dependant on everything else, B is also dependant on D, and since A is dependant on D.

Answer:

nmb

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) The point estimate of the population variance is 900 (rooms squared).

b) The 90% confidence interval estimate of the population variance is approximately (486, 1706) (rooms squared).

c) The 90% confidence interval estimate of the population standard deviation is approximately (22.0, 41.3) rooms.

a. The point estimate of the population variance can be calculated using the formula:

Point estimate of population variance = Sample standard deviation squared

= (30 rooms)²

= 900 rooms²

Therefore, the point estimate of the population variance is 900 (rooms squared).

b. To calculate the 90% confidence interval estimate of the population variance, we need to use the Chi-Square distribution.

The formula for the confidence interval of the population variance is:

Lower bound: (n-1)*sample variance / Chi-Square upper critical value

Upper bound: (n-1)*sample variance / Chi-Square lower critical value

Since we are interested in a 90% confidence interval, the Chi-Square critical values for the upper and lower tails with (n-1) degrees of freedom are 8.907 and 32.852, respectively.

Plugging in the values, we have:

Lower bound: (20-1)*900 / 32.852

≈ 486

Upper bound: (20-1)*900 / 8.907

≈ 1706

Therefore, the 90% confidence interval estimate of the population variance is approximately (486, 1706) (rooms squared).

c. To calculate the 90% confidence interval estimate of the population standard deviation, we take the square root of the lower and upper bounds of the confidence interval for the variance.

Square root of the lower bound: √486

≈ 22.0

Square root of the upper bound: √1706

≈ 41.3

Therefore, the 90% confidence interval estimate of the population standard deviation is approximately (22.0, 41.3) rooms.

Learn more about the confidence interval here:

https://brainly.com/question/31420373

#SPJ4

The correct question is as follows:

Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per day and a sample standard deviation of 30 rooms.

a. What is the point estimate of the population variance (to nearest whole number)?

b. Provide a 90% confidence interval estimate of the population variance (to nearest whole number).

c. Provide a 90% confidence interval estimate of the population standard deviation (to 1 decimal).

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer:

Slope is -3

y-intercept is -3 and equation is y=-3x-3

Answer:

Slope: -3

y-intercept: -3

Equation: y = -3x - 3

Step-by-step explanation:

1. To get the slope (m):

m = rise / run = -3 / 1 --> it's negative 3 since the slope is going downwards

2. the y-intercept is the point that crosses the y-axis or when the x point is 0, so (0, -3)

3. Put is all together: y = -3x - 3

Answer:

oo (infinite)

Step-by-step explanation:

the slope = (-2-7)/(-11+11) = -9/0 = oo

(infinite)

Answer:

X=15

Step-by-step explanation:

line segment with length 18 is tangent and other one is secant so

[tex] {18}^{2} = 12(12 + x) \\ 324 = 144 + 12x \\ 324 - 144 = 12x \\ 180 = 12x \\ x = 180 \div 12 \\ x = 15[/tex]

the answer is 4,13 of the perimeter