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3 years ago

Kevin can travel 22 and a half miles in one third hour what is his average speed in miles per hour

2 answers:

5 0

His average speed is 67 1/2 miles per hour. 22.5 in each 1/3 of an hour. So, multiply that by 3 and get 67 1/2 miles in each whole hour.

dalvyx [7]3 years ago

4 0

If it's 1/3 of an hour then we multiply it by 3 so 22.5 x 3 is 67.5
Answer: 67.5 m/h

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What are the coordinates of the point (-1,9) after a clockwise rotation of 90 degree about the origin

Elina [12.6K]

The rule for clockwise rotation of 90 degrees about the origin is (-y, x).

So (-1,9) would now be (-9,1).

Hope this Helps!!

7 0

2 years ago

What is the measurement of x

Nesterboy [21]

The measurement of x is 3.9999

5 0

3 years ago

Read 2 more answers

In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th

deff fn [24]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

The sample size is n = 64

The average price is $\= x = \$ 112$

The population standard deviation is $\sigma = \$ 16$

The level of significance is $\alpha = 0.05$

The population mean is $\mu = \$ 108.5$

The null hypothesis is $H_o : \mu = 108.50$

The alternative hypothesis is $H_a : \mu \ne 108.50$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }$

=> $z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }$

=> $z = 1.75$

From the z table the area under the normal curve to the left corresponding to 1.75 is

$P( Z > 1.75) = 0.040059$

Generally p-value is mathematically represented as

$p-value = 2 * P( Z > 1.75)$

=> $p-value = 2 * 0.040059$

=> $p-value = 0.08012$

From the values 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 average room price is significantly different from $108.50

3 0

3 years ago

Fiona’s Number:

Amanda [17]

Answer:

He should dial 289-743-1560

Step-by-step explanation:

The first three digits: "My first three digits are the square of an integer less than twenty"

Step 1: We can get the first three by looking at the squares of the integers from 1 to 19. We need a three digit number, so starting with 10, since 10² = 100, we list the squares of the integers from 10 to 19

10² = 100

11² = 121

12² = 144

13² = 169

14² = 196

15² = 225

16² = 256

17² = 289

18² = 324

19² = 361

Step 2: "The first three digits are in ascending order" and no digits can repeat, so we eliminate the answers above that don't satisfy both of these condintions. This leaves just 3 choices:

13² = 169

16² = 256

17² = 289

*We will come back to this once we have more information.

The last 2 numbers: "the last two digits are multiples of sixty".

The only 2 digit number that is a multiple of 60 is 60, so 6 and 0 are the last 2 digits. This rules out two answers from Step 1 since no digits can repeat. Only 289 works since 169 and 256 each have a 6 in them. So now we know the first 3, and last 2 numbers!

2 8 9 _ _ _ _ _ 6 0

The last 4 numbers: "the last 4 digits are multiples of sixty"

We want to find a 4 four digit number that has 60 as the last 2 digits. Notice a pattern when you multiply 60 by certain digits...

60 x 1 = 60

60 x 2 = 120

...

60 x 6 = 360

60 x 11 = 660

60 x 16 = 960 (these all don't work since they are not 4 digits)

60 x 21 = 1260 (this is the first 4 digit result, but it doesn't work because

there is a '2' in it, and 2 has already been used as the

first digit of the number)

60 x 26 = 1560 (this number could work, so lets try it and see if we can

satisfy the rest of the statements)

Now our number is

2 8 9 _ _ _ 1 5 6 0

The second three digits: "The second three digits are in descending order" and "The sum of the second three digits is 14"

If we assume that 1, 5, 6 and 0 are the last four digits, we know that 2, 8 and 9 are the first three digits, this leaves 3, 4 and 7 as the three remaining digits.

3 + 4 + 7 = 14 so that condition is satisfied. We just need to write then in descending order, so our final number is

289-743-1560