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MakcuM [25]
3 years ago
9

Pilar and Ravi start at opposite ends of a 55-mile bike trail. They start riding their bikes toward each other at the same time.

After 3 hours, they meet. Pilar rides 34 miles before they meet. What is Ravi's average speed? Explain your answer.
Your answer
Pilar and Ravi start at opposite ends of a 55-mile bike trail. They start riding their bikes toward each other at the same time. After 3 hours, they meet. Pilar rides 34 miles before they meet. What is Ravi's average speed? Explain your answer.
​
Mathematics
1 answer:
Lynna [10]3 years ago
6 0

Answer:

Ravi’s average speed is 7 miles per hour

Step-by-step explanation:

In this question, we are tasked with calculating what Ravi’s average speed was.

We must know that the term average speed is mathematically equal to Total distance/ Total time

We already have the time of 3 hours, what is needed is the distance.

From the question, we can see that they met at the point where Pilar had travelled 55 miles. What this means is that Ravi would have traveled (55-34) miles to this point since they are coming in opposite direction. This means that Ravi had traveled 21 miles

Thus his average speed is 21 miles/ 3 hours = 7 miles per hour

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Evaluate the function f\left(x\right)=5x+2\mid11-5x\mid-4f(x)=5x+2∣11−5x∣−4 for x = -5.
Anestetic [448]

Answer:

f\left(5\right) = 43

Step-by-step explanation:

Given

f\left(x\right)=5x+2\mid11-5x\mid-4

Required

Solve for x = -5

This implies that we substitute -5 for x in f\left(x\right)=5x+2\mid11-5x\mid-4

f\left(5\right)=5(-5)+2\mid11-5(-5)\mid-4

Open all brackets

f\left(5\right) = -25+2\mid11+25\mid-4

f\left(5\right) = -25+2\mid36\mid-4

Absolute value of 36 is 36; Wo, we have:

f\left(5\right) = -25+2*36-4

f\left(5\right) = -25+72-4

f\left(5\right) = 43

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3 years ago
What is the addition property of 34+62+51+46
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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts
DochEvi [55]

Answer:

We accept  H₀   with the information we have, we can say level of ozone is under the major limit

Step-by-step explanation:

Normal Distribution

population mean  =   μ₀   =  7.5   ppm

Sample size     n   =  16      df  =  n  -  1  df  =  15

Sample mean      =    μ   =  7.8  ppm

Sample standard deviation   =  s  =  0.8

We want to find out if ozono level, is above normal level that is bigger than 7.5

1.- Hypothesis Test

null hypothesis                          H₀         μ₀   =  7.5

alternative hypothesis             Hₐ          μ₀  >  7.5  

2.-Significance level    α  =  0.01   we will develop one tail-test (right)

then   for   df  =  15    and    α =  0,01   from t -student table we get

t(c)  = 2.624

3.-Compute  t(s)

t(s)  =  (  μ -  μ₀ ) / s /√n            ⇒   t(s)  = ( 7.8  -  7.5 )*4/0.8

t(s)  = 0.3*4/0.8

t(s)  = 1.5

4.-Compare   t(s)   and  t(c)

t(s)  <  t(c)       1.5  <  2.64

Then  t(s) is inside the acceptance region. We accept  H₀

7 0
3 years ago
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umka21 [38]

Answer:

m= 4

Step-by-step explanation:

3m +2n= 16 -----(1)

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m= 2n -----(3) (+2n on both sides)

subst. (3) into (1):

3(2n) +2n= 16

6n +2n= 16

8n= 16 (simplify)

n= 16 ÷8

n= 2

subst. n=2 into (3):

m= 2(2)

m= 4

7 0
3 years ago
Which postulate can be used to prove that the triangles are congruent?
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2 angle and I side AAS
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