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jenyasd209 [6]
3 years ago
7

n first gear, or low gear, an automobile's engine runs about three times as fast as the drive shaft. In second gear, the engine

does not have to run as fast; usually it runs about 1.6 times faster than the drive shaft. Finally, in third, or high gear, the engine runs at the same speed as the drive shaft. Engine speed = 1,850 r.p.m. Transmission in second gear Drive-shaft speed =
Mathematics
1 answer:
Ainat [17]3 years ago
4 0

Answer:

Consider the following cases

Case 1: In n first gear,  an automobile's engine runs about three times as fast as the drive shaft.

So, if Speed of Engine = 1,850 r.p.m

Then Speed of Drive Shaft  =\frac{1850}{3}=616.67 r.p.m

Case 2 : In second gear, the engine does not have to run as fast; usually it runs about 1.6 times faster than the drive shaft.

 So, if Speed of Engine = 1,850 r.p.m

Then Speed of Drive Shaft  =\frac{1850}{1.6}=1156.25 r.p.m

Case 3:  Finally, in third, or high gear, the engine runs at the same speed as the drive shaft.

So, if Speed of Engine = 1,850 r.p.m

Then Speed of Drive Shaft is also equal to 1,850 r.p.m

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5 0
3 years ago
The dog’s leash is 60 inches long. If the dog walks back and forth with its leash pulled tight while the leash is tied to the li
labwork [276]

Answer:

150.08 inches

Step-by-step explanation:

The question simply requires that we find the length of the arc that the dog walks.

Its leash rotates through 150° and the length of the leash (radius) is 60 inches.

The length of an arc is given as:

L = α/360 * 2πR

where α = angle of arc

R =radius

Therefore:

L = 150/360 * 2 * π * 60

L = 150.08 inches

The dog walks 150.08 inches

5 0
3 years ago
he test scores on the Chapter 10 mathematics test have a mean of 52 and a standard deviation of 10. Andrea scored 76 on the test
tekilochka [14]

Answer:

Step-by-step explanation:

Hello!

The mean is a measurement of central tendency that shows what is the most expected value of the variable. The standard deviation is a measurement of variability, it shows you how distant or dispersed are the values of a certain population or sample in regards to the value of the mean.

In this example the variable is X: score obtained on a math test.

It's mean is μ= 52 and its standard deviation is σ= 10

To know how many standard deviations away is a value of X concerning the mean you have to first subtract the mean to the value of X, X - μ, and then you have to divide it by σ:

(X - μ)/ σ

If X=76

(76 - 52)/ 10= 2.4

The score obtained by Andrea is 2.4σ away from the mean.

I hope it helps!

3 0
3 years ago
Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 22 of the 45 boxes on the
kherson [118]

Answer:

0.2333 = 23.33% probability that both of them have the secret decoder ring

Step-by-step explanation:

The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

45 boxes, which means that N = 45

22 have the secret decoder ring, which means that k = 22

Two boxes, which means that n = 2

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333

0.2333 = 23.33% probability that both of them have the secret decoder ring

8 0
3 years ago
Rationalizing denominator of 2/√3
Reptile [31]

Answer: \frac{2\sqrt{3}} {3}

Step-by-step explanation:

Multiply both the denominator and numerator by square root of 3 to rationalize the denominator.

3 0
3 years ago
Read 2 more answers
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