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Oksana_A [137]
3 years ago
6

The wheels on Jason's dirt bike measure 19 inches in diameter. How many revolutions will the wheels make when Jason rides for 50

0 feet? Use 3.14 for ?. Round to the nearest whole revolution.
Mathematics
2 answers:
Naya [18.7K]3 years ago
8 0

Answer:  101 revolutions

Step-by-step explanation:

Harman [31]3 years ago
3 0

Answer:  The total number of revolutions is 101.

Step-by-step explanation:  Given that the wheels on Jason's dirt bike measure 19 inches in diameter.

We are to find the number of revolutions that the wheels make when Jason rides for 500 feet.

We know

1 foot = 12 inches.

So, 500 feet = 12 × 500 = 6000 inches.

Now, diameter of the wheels is given by

d = 19 inches.

So, the circumference of the wheels will be

C=\pi d=3.14\times19=59.66~\textup{inches}.

Therefore, to ride 500 feet, The number of revolutions that the wheels make is given by

n=\dfrac{6000}{59.66}=100.56989...

Rounding to the nearest whole number, the required number of revolutions will be 101.

Thus, the total number of revolutions is 101.

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SA=4pir^2
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aprox pi=3.14 so divide both sides by 3.14
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sqrt both sides
2.50063=r
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2nd one
5 0
3 years ago
ΔDOG has coordinates D (3, 2), O (2, −4) and G (−1, −1). A translation maps point D to D' (2, 4). Find the coordinates of O' and
geniusboy [140]

Answer:

see explanation

Step-by-step explanation:

Given D(3, 2 ) → D'(2, 4 )

The x- coordinate of D' is 1 less than D and the y- coordinate of D' is 2 more than D, thus the translation rule is

(x, y ) → (x - 1, y + 2 )

Apply this rule to points O and G

O( 2, - 4 ) → O'(2 - 1, - 4 + 2 ) → O'(1, - 2 )

G(- 1, - 1 ) → G'(- 1 - 1, - 1 + 2 ) → G'(- 2, 1 )

6 0
4 years ago
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
Viefleur [7K]

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

n = 1537, \pi = \frac{353}{1537} = 0.2297

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

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3 years ago
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aleksklad [387]

Answer:

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Step-by-step explanation:

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3 years ago
Callie has x yards of string. For an art project, she can cut an equal number of pieces of string in each piece is 11/12 foot lo
vagabundo [1.1K]

Answer:

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Step-by-step explanation:

If you divide the total length of string by the length of each piece, you get the number of strings.

total length of string: x

length of each piece: 11/2

We need to divide x by 11/12

Answer: C) x ÷ 11/12

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3 years ago
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