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3 years ago

WILL MARK BRAINLIEST IF CORRECT!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Kipish [7]3 years ago

3 0

Answer:

4000 times

Step-by-step explanation:

The numbers from 1 to 9999 can be shown in the form of:

3xyz, x3yz, xy3z. xyz3

Each of x, y, z represent the digits from 0 to 9, so 10 ways each.

For each of the forms we have:

10*10*10 = 1000 ways and

Total of:

1000*4 = 4000 ways

By the way this is applicable to any digit.

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Consider the following.x = t − 2 sin(t), y = 1 − 2 cos(t), 0 ≤ t ≤ 8πSet up an integral that represents the length of the curve.

sweet [91]

The length of the parametric curve (call it C ) is given by

$\displaystyle\int_C\mathrm ds=\int_0^{8\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

We have

$x=t-2\sin t\implies\dfrac{\mathrm dx}{\mathrm dt}=1-2\cos t$

$y=1-2\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=2\sin t$

Now,

$\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2=5-4\cos t$

so that the arc length integral reduces to

$\displaystyle\int_0^{8\pi}\sqrt{5-4\cos t}\,\mathrm dt$

which has an approximate value of 53.4596.

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3 years ago

Which situation results in a final value of zero?

Anna [14]

C.
2.5mi to someplace then coming back is 0

4 0

4 years ago

Read 2 more answers

A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res

AveGali [126]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 15 \ months$

The sample size is n = 25

The sample mean is $\= x = 17 \ months$

The standard deviation is $s = 5.5 \ months$

Let assume the level of significance of this test is $\alpha = 0.05$

The null hypothesis is $H_o : \mu = 15$

The alternative hypothesis is $H_a : \mu > 17$

Generally the degree of freedom is mathematically represented as

$df = n -1$

=> $df = 25 -1$

=> $df = 24$

Generally the test statistics is mathematically represented as

$t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }$

=> $t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }$

=> $t = 1.8182$

Generally from the student t distribution table the probability of obtaining $t = 1.8182$ to the right of the curve at a degree of freedom of $df = 24$ is

$p-value = P(t > 0.18182 ) = 0.4286$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.

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3 years ago

Gianna drove 176 miles in 8 hours. On average, how fast did she drive in miles per hour? Express your answer in simplest form.

vesna_86 [32]

Answer:

Step-by-step explanation:

178 divide by 8 = 22

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4 years ago

Each game costs $1.25 and each ride costs $2.75. A boy spent $20.25 all together at the carnival and the number of rides he went

a_sh-v [17]

Answer:

3 games and 6 rides

Step-by-step explanation:

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3 years ago