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Marysya12 [62]
3 years ago
12

According to the Insurance Institute for Highway Safety, the national rate for 16-year-old males was 210 accidents for every 100

0 drivers (21%) during the year 2000. In a large city in the Midwest, a random sample of 150 16-year-old male drivers found that 25 of them had been in an accident during the year 2000. Does this city have a lower proportion of accidents by 16-year-old male drivers than the national proportion?
Mathematics
1 answer:
laila [671]3 years ago
5 0

Answer:

Yes.  The city has a lower proportion of accidents by 16-year-old male drivers than the national proportion (16.7% compared to 21%).

Step-by-step explanation:

a) Data and Calculations:

Number of 16-year-old males involved in driver accident during year 2000 = 210

Sample number of drivers = 1,000

National rate of accidents for 16-year-old males for every 1,000 drivers = 21% (210/1,000 * 100)

Random sample of 16-year-old male drivers in a Midwest city = 150

Number of them involved in driver-accidents = 25

Proportion of 16-year-old males involved in driver-accidents = 25/150 * 100 = 16.7%

The city's 16.7% proportion is lower than the national proportion of 21%.

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Answer:

Option D.

Step-by-step explanation:

Not everyone who plays band is going to be in sports or vise versa

Hope this helped!

6 0
3 years ago
Simplify to create an equivalent expression.
Sergio [31]
This is how I got the answer it’s c

8 0
3 years ago
Write a quadratic function to model the vertical motion for each​ situation, given ​h(t) equals negative 16t squared plus v0t+h0
Mashcka [7]

Answer:

hmax = 194 ft

The maximum height is 194 ft

Step-by-step explanation:

According to the given equation for the model of the vertical motion. The height at any point in time can be written as;

h(t) = -16t^2 + v0t + h0 .......1

Where;

h(t) = height at time t

t = time

v0 = initial velocity = 96 ft/s

h0 = initial height = 50 ft

To determine the maximum height we need to differentiate the equation 1 to find the time at which it reaches maximum height;

At the highest point/height h' = dh/dt = 0

h'(t) = -32t +v0 = 0

-32t + v0 = 0

t = v0/32

t = 96/32

t = 3 s

At t=3 it is at maximum height.

The maximum height can be derived from equation 1;

Substituting the values of t,v0,h0 into equation 1;

h(t) = -16t^2 + v0t + h0 .......1

hmax = -16(3)^2 + 96(3) + 50 = 194 ft

hmax = 194 ft

The maximum height is 194 ft

5 0
3 years ago
A device produces random 64-bit integers at a rate of one billion per second. After how many years of running is it unavoidable
nikitadnepr [17]

Answer:

3171 × 10^(44) years

Step-by-step explanation:

For each bit, since we are looking how many years of running it is unavoidable that the device produces an output for the second time, the possible integers are from 0 to 9. This is 10 possible integers for each bit.

Thus, total number of possible 64 bit integers = 10^(64) integers

Now, we are told that the device produces random integers at a rate of one billion per second (10^(9) billion per second)

Let's calculate how many it can produce in a year.

1 year = 365 × 24 × 60 × 60 seconds = 31,536,000 seconds

Thus, per year it will produce;

(10^(9) billion per second) × 31,536,000 seconds = 3.1536 × 10^(16)

Thus;

Number of years of running is it unavoidable that the device produces an output for the second time is;

(10^(64))/(3.1536 × 10^(16)) = 3171 × 10^(44) years

6 0
3 years ago
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storchak [24]

Answer:

3, 5, 7, 7, 8

Step-by-step explanation:

3, 5, 7, 7, 8

the mean = (3+5+7+7+8)/5 = 30/5= 6

the mode = 7

4 0
2 years ago
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