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Greeley [361]
3 years ago
13

The table shows the height of a ball that was dropped from a 380-foot tower. What was the ball's rate of fall during the first 3

seconds?
0s-380ft

1-s-350ft

2s-290ft

3s-200ft
Mathematics
2 answers:
Alex3 years ago
8 0

Answer:

60ft/s

Step-by-step explanation:

To find the rate

rate = f(3) - f(0)

         -------------

         3-0

rate = 200-380

         ---------------

         3-0

rate = -180/3   = -60 ft/s

The negative tells us it is falling

The fall falls 60ft/s

Sever21 [200]3 years ago
4 0

<u>Answer:</u>

The correct answer is 60 feet / second.

<u>Step-by-step explanation:</u>

We are given the height of a ball which is falling from a height of 280 feet for 3 seconds.

We are to find the ball's rate of fall during the first 3 seconds.

For that, we will take the difference between the heights and divide it by the time.

Ball's rate = \frac { 3 8 0 - 2 0 0 } { 3 } = 60 feet / second

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A ratio of dogs to cats a pet store is 1:3. There are 15 cats. how many dogs are at the pet store
DIA [1.3K]

From the ratio given we know that there is 3 times more cats than dogs.

If there are 15 cats, then there are 15/3 dogs or 5 dogs.

answer: 5 dogs

8 0
3 years ago
Fertilizer for your lawn has to be mixed with water. Every 5 ounces of mix needs 1 gallon of water. How many cups of mix do you
Mkey [24]

Answer:

  5 cups

Step-by-step explanation:

There are 8 ounces in a cup, so the ratio given is ...

  5/8 cup : 1 gallon

Multiplying this by 8, we have ...

  5 cups : 8 gallons

If you are using 8 gallons of water, you need 5 cups of mix.

6 0
2 years ago
Read 2 more answers
The Scott family is trying to save as much money as possible. One way to cut back on the money they spend is by finding deals wh
avanturin [10]

Answer:

Unit price of strawberries at Grocery Mart is $ 1.495 or 150 pennies

Unit price of strawberries at Baldwin Hills Market is $ 1.33 or 133 pennies.

Step-by-step explanation:

1 dollar = 100 pennies

Given:

Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99

Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99

∵ Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99

∴ Cost of 1 pound of strawberries at Grocery Mart = \frac{2.99}{2}=\$1.495=1.495\times 100\approx 150\textrm{ pennies}

∵ Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99

Cost of 1 pound of strawberries at Baldwin Hills Market = \frac{3.99}{3}=\$1.33= 1.33\times 100 = 133\textrm{ pennies}

Therefore, the unit price of strawberries at each grocery store is the cost of 1 pound of strawberries. So, unit rate at Grocery Mart is 150 pennies and at Baldwin Hills Market is 133 pennies.

7 0
3 years ago
In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour
Lesechka [4]

Answer:

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=54 represent the sample mean  

\mu population mean (variable of interest)

\sigma=21 represent the sample standard deviation

n=16 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.90 or 90%, the value of \alpha=1-0.9=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Now we have everything in order to replace into formula (1):

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

4 0
3 years ago
Trying find out which is true
lions [1.4K]

Answer:

Step-by-step explanation:

y>x+1

4 0
3 years ago
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