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kicyunya [14]
3 years ago
14

Jabari drives 20.4 miles in 17 minutes. He passes a sign which gives the speed limit as 55 mph. By how much, in mph, did Jabari'

s average speed exceed the speed limit?
Mathematics
1 answer:
MAXImum [283]3 years ago
8 0

Jabari's average speed exceed the speed limit by 17 miles per hour

Given:

Total distance = 20.4 miles

Time taken = 17 minutes

convert minutes to hour

60 minutes = 1 hour

17 minutes = 0.283333 hour

Average speed = Total distance ÷ Time taken

= 20.4 ÷ 0.283333

= 72.00008470598200

Approximately, 72 miles per hour

Speed limit = 55 miles per hour

Exceeded speed limit = 72 - 55

= 17 miles per hour

Therefore, Jabari's average speed exceed the speed limit by 17 miles per hour

Learn more about average speed:

brainly.com/question/4931057

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Consider a bell-shaped symmetric distribution with mean of 16 and standard deviation of 1.5. Approximately what percentage of da
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Answer: 95.45 %

Step-by-step explanation:

Given : The distribution is bell shaped , then the distribution must be normal distribution.

Mean : \mu=\ 16

Standard deviation :\sigma= 1.5

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x = 13

z=\dfrac{13-16}{1.5}=-2

For x = 19

z=\dfrac{19-16}{1.5}=2

The p-value = P(-2

0.9772498-0.0227501=0.9544997\approx0.9545

In percent, 0.9545\times100=95.45\%

Hence, the percentage of data lie between 13 and 19 = 95.45 %

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3 years ago
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The cost of the five most popular items at an airport gift shop include a $12.99 decorative mug, a $2.99 postcard, a $3.49 keych
Leno4ka [110]

Exchange rate refers value of a currency in another.The cost of the decorative mug is 83.98 China Yuan.

<h3>What is the exchange  rate?</h3>

The term exchange rate has to do with the value of a currency in another currency. Given the fact that international trade is the mainstay of the global economy, it is important that one currency should be converted to another for the purpose of the ease of doing business.

The dollar is often the international currency for trade. Its us always necessary to convert the dollar into the local currency of the country where the business is done using the correct exchange rate.

Now If I want to convert the cost of the decorative mug to China Yuan;

I already know that;

1 US dollar =  6.4651 China Yuan

12.99 US dollar = 12.99 US dollar  * 6.4651 China Yuan/1 US dollar

= 83.98 China Yuan

Hence, the cost of the decorative mug is 83.98 China Yuan.

Learn more about exchange rate:brainly.com/question/22996931

#SPJ1

3 0
2 years ago
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
lara [203]

Answer:

<u>The number of associates = 6  and the number of partners = 4</u>

Step-by-step explanation:

let the number of associates = x

let the number of partners  = y

The law firm assigned a total of 10 lawyers

∴ x + y = 10

∴ y = 10 - x ⇒ (1)

$8000 per day charged for these lawyers, The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100.

∴ 600x + 1100 y = 8000 ⇒ (2)

By substitute from (1) at (2)

600 x + 1100 (10 - x) = 8000

solve for x

600 x + 11000 - 1100 x = 8000

-500 x = -3000

x = -3000/-500 = 6

At (1) to find y

y = 10 - 6 = 4

<u>So, the number of associates = 6  and the number of partners = 4</u>

8 0
3 years ago
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