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3 years ago

Shawn took the bus from Seattle to Portland, a distance of 175miles. If the trip took 3.5 hours, what was the speed of the bus?

Mathematics

2 answers:

wel3 years ago

8 0

The bus was going 50 miles per hour.

Svet_ta [14]3 years ago

5 0

Answer:

Speed of the bus = 50 miles per hour

Step-by-step explanation:

Distance between Seattle to Portland = 175 miles.

Duration of trip = 3.5 hours

We need to find speed, we have

Distance traveled = Speed x Time

$\texttt{Speed = }\frac{\texttt{Distance traveled}}{\texttt{Time}}=\frac{175}{3.5}=50mph$

Speed of the bus = 50 miles per hour

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A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b

nata0808 [166]

Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

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 $1 - \frac{\alpha}{2}$ .

The margin of error:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

$p = 0.1$

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 $Z = 1.96$ .

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}$

$0.04\sqrt{n} = 0.588$

$\sqrt{n} = \frac{0.588}{0.04}$

$\sqrt{n} = 14.7$

$(\sqrt{n})^{2} = (14.7)^{2}$

$n = 216$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

7 0

3 years ago

Draw a picture of the standard normal curve and shade the area that corresponds to the requested probabilities. Then use the sta

elena-14-01-66 [18.8K]

Answer:

a)P [ z > 1,38 ] = 0,08379

b) P [ 1,233 < z < 2,43 ] = 0,1012

c) P [ z > -2,43 ] = 0,99245

Step-by-step explanation:

a) P [ z > 1,38 ] = 1 - P [ z < 1,38 ]

From z-table P [ z < 1,38 ] = 0,91621

P [ z > 1,38 ] = 1 - 0,91621

P [ z > 1,38 ] = 0,08379

b) P [ 1,233 - 2,43 ] must be P [ 1,233 < z < 2,43 ]

P [ 1,233 < z < 2,43 ] = P [ z < 2,43 ] - P [ z > 1,233 ]

P [ z < 2,43 ] = 0,99245

P [ z > 1,233 ] = 0,89125 ( approximated value without interpolation)

Then

P [ 1,233 < z < 2,43 ] = 0,99245 - 0,89125

P [ 1,233 < z < 2,43 ] = 0,1012

c) P [ z > -2,43 ]

Fom z-table

P [ z > -2,43 ] = 1 - P [ z < -2,43 ]

P [ z > -2,43 ] = 1 - 0,00755

P [ z > -2,43 ] = 0,99245

8 0

2 years ago

Which is greater 4 ft 7 inches or 56 inches

jok3333 [9.3K]

1 ft = 12 in.
4 ft = 4 * 1 ft = 4 * 12 in. = 48 in.

4 ft 7 in. = 48 in. + 7 in. = 55 in.

4 ft 7 in. < 56 in.

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3 years ago

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coldgirl [10]

Answer:

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-1/y^(-4) = -(1/(1/y^4)) = -y^4

5^4 x 5^7 = 5^(4 + 7) = 5^11

Hope this helps!

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3 years ago

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Given: 5x - 6y = 0, What is the x-intercept?

horrorfan [7]

A, x-intercept is when y=0, so in this case when y=0, the equation becomes 5x=0. Therefore, x must equal 0 for 5x=0. so y=0 and x=0 so the answer it (0,0), which is A.

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3 years ago

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