Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time she trains, she bikes 0.5 mile farther than she did the previous time.

A. Use summation notation to write an arithmetic series to represent the total distance Melissa has biked after she has trained n times.

B. Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What is the least number of times Melissa must bike for her total distance biked during training to exceed 60 miles? (3 points)

Answer:

6:5

Step-by-step explanation:

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

The algae is spherical in nature

Volume of the algae =4/3 pi r³

Volume of the algae = 4/3×pi×2.5³

Volume of the algae = 62.5/3 pi

Surface area = 4pi r²

Surface area = 4pi ×2.5²

Surface area = 25pi

Taking their ratio

surface area : volume ratio

= 25pi:62.5/3 pi

= 25 × 3/62.5

= 1.2

Hence the required ratio is 12/10 which is 6:5

Answer:

12

Step-by-step explanation:

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Answer:

The 41st term of the given series is 324

Step-by-step explanation:

a= 4

a2= 12

d= a2-a

d= 12-4 = 8

now, we have to find 41 term that is a41

a41 = a+ 40d

a41= 4+ 40× 8

a41= 4+ 320

= 324

therefore the 41st term is 324

Answer:

324

Step-by-step explanation:

The sequence observed appears to be an arithmetic sequence. The formula for an arithmetic sequence is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term position, and d is the common difference. Let's write down what we know.

n = 41

a1 = 4

d = 8

So, let's plug our values into the equation and solve.

an = 4 + (41 - 1)8

an = 4 + (40)8

an = 4 + 320

an = 324

Answer:

What is the question

Step-by-step explanation:

Answer:

What the question?

Step-by-step explanation:

Answer:

The 3rd option

Step-by-step explanation:

Answer:

x ≤ 1/3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Actual distance represented by 5.5 inch of map distance is

[tex]192.5[/tex] miles

Step-by-step explanation:

Given,

The scale of map -

1 inch on map is equal to 35 miles.

Distance measured by mike on map is equal to 5.5 inch

Actual distance represented by 5.5 inch of map distance is

[tex]= 5.5 * 35 = 192.5[/tex] miles

Answer:

ML = 12.8

Step-by-step explanation:

24/6.4 = 48/ML

24ML = 307.2

ML = 12.8

Answer:

x=8

Step-by-step explanation:

13=x+5

8=x

Answer:

x = 8

Step-by-step explanation:

Okay, so the top and bottom of a parallelogram are equal (or else it would be a trapezoid), so we just have to construct our cute lil algebraic expression:

x + 5 = 13

So now we have to do the inverse operations thingy:

13 - 5 = 8

So x = 8

tell me if this is wrong so I can fix it

hope this helps:)

Answer:

The answer is 10 foot

Step-by-step explanation:

A square has 4 sides, so technically 40/4 will give you the answer, which is 10.

Answer: n=-2

Step-by-step explanation:

Given

The length of the football field is  [tex]300\ ft[/tex]

In the mile, it can be expressed as [tex]5.7\times 10^n\ mile[/tex]

Also, [tex]5280\ ft=1\ mile[/tex] or

[tex]1\ ft=\dfrac{1}{5280}\ miles\\\\1\ ft=1.893\times 10^{-4}\ miles[/tex]

converting [tex]300\ ft[/tex] to miles

[tex]\Rightarrow 300\times 1.893\times 10^{-4}\\\Rightarrow 5.68\times 10^{-2}\approx 5.7\times 10^{-2}[/tex]

Comparing it with the given value [tex]5.7\times 10^n\ mile[/tex]

we get [tex]n=-2[/tex]

Answer:

x = 8√3

Step-by-step explanation:

Answer:

you did it right

I hope it's helps you

4/5 or 0.8 or 80%

hope you have an amazing day <3

The probability that  the pitcher will throw 4 or fewer pitches to a batter is 0.9.

The way to find the likeliness of an event is called Probability.

It is given that

Pitcher is throwing ball

The probability that he throws 4 or fewer pitches to a batter is = ?

The no. of favourable outcomes for the given condition is

P(X ≤4 ) = P(X=1) + P(X =2) + P(X=3)+P(X=4)

Total Outcomes = 15+20+40+15+20

Total outcomes = 100

Favourable outcomes = 15+20+40+15

Favourable Outcomes = 90

Probability =  Favourable Outcomes / Total Outcomes \

Probability = 90/100 = 0.9

Therefore the probability that  the pitcher will throw 4 or fewer pitches to a batter is 0.9.

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Answer:

2 and 4 answers

Step-by-step explanation:

[tex]\frac{xy}{xv} = \frac{yz}{vw} = \frac{zx}{wx}[/tex]

so the second is correct and forth is correct too

9514 1404 393

Answer:

  (25/3)π

Step-by-step explanation:

A central angle of 120° is 1/3 of a circle, so the arc length will be 1/3 of the circumference:

  (1/3)(25π) = (25/3)π ≈ 26.18 . . . . units

Answer:

Circumference = 25π

Total angle made by circle = 360

Now,

120 is ⅓ of 360⁰.

⅓ × 25π = 25π/3

Hence,

Length of arc = 25π/3

[tex] \\ [/tex]

Answer:

D. m= x + 0.75

Step-by-step explanation:

Andrew is adding books to the backpack that already weighs 0.75 kg.

Answer:

the top one is posable oucomes and the the bottom is the other on

Step-by-step explanation:

Answer:

1 fav

2. possible

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Took it

The confidence interval of eggs chickens from this poultry farm lay in one month will be (22.96, 26.64). Then the correct option is C.

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Let the sample mean given as μ and

The sample standard deviation σ, and

The sample size = n, and

Then the heights would be outside the 90% confidence interval will be

For 90% confidence interval, we have z = 1.645

⇒ μ ± z (σ/√n)

Kat is interested in getting chickens, so she can have fresh eggs.

Before she buys her chickens, she wants to find the mean number of eggs each one will lay.

She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month.

She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs.

The 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay in one month will be

⇒ μ ± z (σ/√n)

⇒ 24.8 ± 1.645 (6.9/√40)

⇒ 24.8 ± 1.84

Then the confidence interval of eggs chickens from this poultry farm lay in one month will be (22.96, 26.64).

Then the correct option is C.

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Answer:

x = -56

Step-by-step explanation:

0.75(x + 20) = 2 + 0.5(x - 2)

0.75x + 15 = 2 + 0.5x - 1

0.25x = -14

x = -14/0.25

x = -56

Answer:

[tex]A' = (-4,4)[/tex]

[tex]B' = (2,6)[/tex]

[tex]C' = (2,0)[/tex]

Step-by-step explanation:

Given [Missing from the question]

[tex]A = (-2,2)[/tex]

[tex]B= (1,3)[/tex]

[tex]C= (1,0)[/tex]

[tex]k = 2[/tex] --- scale factor

Required

The new coordinates

The new coordinate is calculated by:

[tex]New = Old * k[/tex]

So, we have:

[tex]A' = A * 2[/tex]

[tex]A' = (-2,2) * 2[/tex]

[tex]A' = (-4,4)[/tex]

[tex]B' = B * 2[/tex]

[tex]B' = (1,3) * 2[/tex]

[tex]B' = (2,6)[/tex]

[tex]C' = C * 2[/tex]

[tex]C' = (1,0) * 2[/tex]

[tex]C' = (2,0)[/tex]

Answer:

m=DxV. 1.308x8= 10.464

Answer:

21/60 (simplified = 7/20)

Step-by-step explanation:

Answer:

d) Yes, there is evidence that the population mean is greater than 3.5, because the entire 95% confidence interval is greater than 3.5.

Step-by-step explanation:

edge 2020

The evidence that the true mean number of hours of screen time for US adults is greater than 3.5 is there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.

It is an estimate of an interval used in statistics, which contains a population parameter. This unknown population parameter is found through a sample model calculated from the collected data.

The confidence level index is directly linked to the margin of error. In that case, there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.

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Answer:

240 ml

Step-by-step explanation:

more calculations

Answer:

The Answer is: y = - 2x + 8.

the y-intersept is 8, and the slope is -2x

Answer:

1. y=2x-2

Because the slope is 2 over 1. and the y-intercept is at -2.

2. I think is y=1/5x-2