What number should be added to each expression to make a perfect square trinomial?

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Anika [276]

Answer:

The probability that the maximum speed is at most 49 km/h is 0.8340.

Step-by-step explanation:

Let the random variable X be defined as the maximum speed of a moped.

The random variable X is Normally distributed with mean, μ = 46.8 km/h and standard deviation, σ = 1.75 km/h.

To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or z-score.

The formula to convert X into z-score is:

$z=\frac{X-\mu}{\sigma}$

Compute the probability that the maximum speed is at most 49 km/h as follows:

Apply continuity correction:

P (X ≤ 49) = P (X < 49 - 0.50)

= P (X < 48.50)

$=P(\frac{X-\mu}{\sigma}$

*Use a z-table for the probability.

Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.

8 0

3 years ago

2,759 divided by 89?

EleoNora [17]

Answer:

31

Step-by-step explanation:

I can't explain any further......

8 0

2 years ago

Read 2 more answers

20 Fuji apples cost $12. How many Fuji apples can you buy for $3?

ryzh [129]

Answer:

5 apples

Step-by-step explanation:

First, we must find the cost of one apple

12/20 = the cost of one apple

= $0.60

Then, we divide 3 by the price of one apple

3/0.6 = amount of apple we can buy

= 5

4 0

2 years ago

Wilma can mow a lawn in 60 minutes. Rocky can mow the same lawn in 40 minutes. How long does it take for both Wilma and Rocky to

UNO [17]

<h3>Answer: 24 minutes</h3>

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Explanation:

Let's say the lawn is 120 square feet. I picked 120 as it is the LCM (lowest common multiple) of 60 and 40.

Since Wilma can mow the lawn in 60 minutes, her rate is 120/60 = 2 sq ft per minute. In other words, each minute means she gets 2 more square feet mowed. Rocky can do the full job on his own in 40 minutes, so his rate is 120/40 = 3 sq ft per minute.

Their combined rate, if they worked together (without slowing each other down), would be the sum of the two rates. So we get 2+3 = 5 sq ft per minute as the combined rate. The total time it would take for this 120 sq ft lawn is 120/5 = 24 minutes.

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Another approach

Wilma takes 60 minutes to do the full job, so her rate is 1/60 of a lawn per minute. Rocky's rate is 1/40 of a lawn per minute. Their combined rate is

1/60 + 1/40 = 2/120 + 3/120 = 5/120 = 1/24 of a lawn per minute

x = number of minutes

(combined rate)*(time) = number of jobs done

(1/24)*x = 1

x = 1*24

x = 24 is the time it takes if they worked together without getting in each other's way.

Effectively, we are solving the equation

1/A + 1/B = 1/C

with

A = time it takes Wilma to do the job on her own

B = time it takes Rocky to do the job on his own

C = time it takes the two working together to get the job done

The equation above is equivalent to C*(1/A + 1/B) = 1 or (1/A + 1/B)*C = 1.

So basically you find the value of 1/A + 1/B, then find the reciprocal of this to get the value of C.

3 0

3 years ago

How do u find the mean median mode and range?

seropon [69]

Mean is the average. So you add up all the numbers and divide by how many numbers there were.

Mode is the number that occurred the most.

Median is the number that is in the middle when you list the numbers from least to greatest or greatest to least.

Range is calculated when you subtract the biggest number in the group by the smallest number.

6 0

3 years ago

Read 2 more answers