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3 years ago

Each tire on your bicycle has a diameter of 26 inches.About how far will you travel when the tires make on complete revolution?

Mathematics

2 answers:

luda_lava [24]3 years ago

7 0

When the tires make one complete revolution, you'll travel the distance that is equal to one length of the wheel.

The length of the wheel is circumference of the circle with diameter of 26 in. The circumference can be found using formula

$l=\pi \cdot d,$ where d is diameter.

Thus,

$l=\pi \cdot d=\pi \cdot 26=26\pi\approx 26\cdot 3.14\approx 81.64\ in.$

Answer: you will travel about 81.64 in.

ValentinkaMS [17]3 years ago

6 0

Circumference of a circle is an equation

c = (pie) x d or ........ c = 2(pie) × r
c = 3.14 × d or ...... c = 2(3.14) x r

d is the diameter and r is radius

c = (3.14) x 26
c = 81.64 in.

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In the inequality 1/ 2 x - 6 > 10, x represents Todd's age. Which phrase most accurately describes Todd's age? A) Todd is old

Tom [10]

Answer:

Option A) Todd is older than 32

Step-by-step explanation:

we have

$\frac{1}{2}x-6>10$

Solve for x

Adds 6 both sides

$\frac{1}{2}x>10+6\\\\\frac{1}{2}x>16$

Multiply by 2 both sides

$x>32$

Todd's age is greater than 32

therefore

Todd is older than 32

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2 years ago

Elena has 35 magazine subscriptions to sell. Each magazine subscription costs $8.50. Elena sold 17 magazine subscriptions on Fri

KengaRu [80]

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2 years ago

Ahmad and Ben have a total of 78 keychains.

Murljashka [212]

Sorry it was tru

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2 years ago

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2 years ago

According to a survey, the average American person watches TV for 3 hours per week. To test if the amount of TV in New York City

Neporo4naja [7]

Answer:

Test statistic (t-value) of this one-mean hypothesis test is -2.422.

Step-by-step explanation:

We are given that according to a survey, the average American person watches TV for 3 hours per week. She surveys 19 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 2.5 hours per week, and the sample standard deviation (s) is 0.9 hours.

We have to test if the amount of TV in New York City is less than the national average.

Let Null Hypothesis, $H_0$ : $\mu$ $\leq$ 3 {means that the amount of TV in New York City is less than the national average}

Alternate Hypothesis, $H_1$ : $\mu$ > 3 {means that the amount of TV in New York City is more than the national average}

The test statistics that will be used here is One-sample t-test statistics;

T.S. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean time = 2.5 hours per week

$s$ = sample standard deviation = 0.09 hours

n = sample size = 19

So, <u>test statistics</u> = $\frac{2.5 - 3}{\frac{0.9}{\sqrt{19} } }$ ~ $t_1_8$

= -2.422

Therefore, the test statistic (t-value) of this one-mean hypothesis test (with σ unknown) is -2.422.

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3 years ago