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topjm [15]
3 years ago
5

Jason can travel 24 3/4 miles is 1/2 hour. what is his average speed in miles per hour?

Mathematics
2 answers:
pashok25 [27]3 years ago
8 0

Answer: \text{Average speed}=49\dfrac{1}{2} miles per hour

Step-by-step explanation:

Formula to find the average speed is given by :-

\text{Average speed}=\dfrac{\text{Distance}}{\text{Time}}

Given : Distance = 24\dfrac{3}{4} miles=\dfrac{24\times4+3}{4} miles

=\dfrac{99}{4} miles

Time =\dfrac{1}{2} hour

Then, \text{Average speed}=\dfrac{\dfrac{99}{4}}{\dfrac{1}{2}}

i.e. \text{Average speed}=\dfrac{99\times2}{4}=\dfrac{99}{2}

i.e. \text{Average speed}=49\dfrac{1}{2} miles per hour

kobusy [5.1K]3 years ago
5 0
<span>24 3/4 miles is the distance
1/2 hour - is time
V=S/t
24</span>\frac{3}{4}  / 0.5 = \frac{(24*4+3)2}{4}=49.5  miles per hour
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Find the length of base PQ in the trapezoid.
iris [78.8K]

Answer:

PQ = 20

Step-by-step explanation:

Theorem:  The length of the median of a trapezoid is the average of the base lengths.

\frac{PQ + 12}{2}  = 16

PQ + 12 = 32

PQ = 20

See how easy that is if you know the theorem!

5 0
3 years ago
Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round y
kupik [55]

Answer:

75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5 pounds.

Step-by-step explanation:

The question is missing. It is as follows:

Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds): 69  104  125  129  60  64

Assume that the population of x values has an approximately normal distribution.

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)

75% Confidence Interval can be calculated using M±ME where

  • M is the sample mean weight of the wild mountain lions (\frac{69 +104 +125 +129+60 +64}{6} =91.8)
  • ME is the margin of error of the mean

And margin of error (ME) of the mean can be calculated using the formula

ME=\frac{t*s}{\sqrt{N} } where

  • t is the corresponding statistic in the 75% confidence level and 5 degrees of freedom (1.30)
  • s is the standard deviation of the sample(31.4)
  • N is the sample size (6)

Thus, ME=\frac{1.30*31.4}{\sqrt{6} } ≈16.66

Then 75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5

3 0
3 years ago
Thomas has constant speeds for both running and walking. When a down-escalator is moving, Thomas can run down it in 15seconds or
Andrew [12]

Answer:

amswer is 7mph

Step-by-step explanation:

i said so

8 0
3 years ago
In the figure above, square ABCD and triangle EFG have the same areas. If AB =6 and EG =8, what is the height o triangle EFG?
lawyer [7]

Answer:

The height of triangle EFG is 9 units

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of a square ABCD

The area of a square is equal to

A=b^2

where

b is the length side of the square

we have

b=AB=6\ units

substitute

A=6^2=36\ units^2

step 2

Find the height of triangle EFG

The area of triangle EFG is equal to

A=\frac{1}{2}(b)(h)

where

b is the base of triangle

h is the height of triangle

we have

b=EG=8\ units

A=36\ units^2 ---> area of triangle EFG is the same that the area of square ABCD

substitute the given values in the formula

36=\frac{1}{2}(8)(h)

solve for h

36=4h\\h=9\ units

therefore

The height of triangle EFG is 9 units

3 0
3 years ago
I really need a quick answer to this question. Thank you!​
egoroff_w [7]

Answer:

P U Q = {2, 3, 4, 5, 6, 7, 8, 9, 10}

P ∩ Q = {4, 6, 8}

Step-by-step explanation:

P = {2x, for 1 <= x <= 5}

P = {2, 4, 6, 8, 10}

Q = {x + 1, for 2 <= x <= 8}

Q = {3, 4, 5, 6, 7, 8, 9}

P U Q = {2, 3, 4, 5, 6, 7, 8, 9, 10}

P ∩ Q = {4, 6, 8}

8 0
2 years ago
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