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qaws [65]
3 years ago
10

Shelly and her family are riding the Pikes Peak Cog Railway. The table shows the approximate distances the train has covered at

the end of different time periods. Grade 8 Unit 7 Unit Test Question 2 Image 1 Based on the information in the table, which equation can be used to find the distance (d), the train will travel in any number of minutes (m)? Group of answer choices d=0.12m d=0.18m d=0.36m d= 0.83m

Mathematics
1 answer:
Radda [10]3 years ago
6 0

Answer:

The equation that can be used to find the distance (d), the train will travel in any number of minutes (m) is d=0.12m

Step-by-step explanation:

we know that

distance  = \frac{speed}{time}

From the table below

CASE 1:

When time is 5 minutes and  distance is 0.6 miles

Speed = \frac{Distance}{time}

Speed =\frac{0.6}{5}

speed  = 0.12

CASE 2:

When time is 8 minutes and  distance is 0.96 miles

Speed = \frac{Distance}{time}

Speed =\frac{0.96}{8}

speed  = 0.12

CASE 3:

When time is 11 minutes and  distance is 1.32 miles

Speed = \frac{Distance}{time}

Speed = \frac{1.32}{11}

speed  = 0.12

CASE 4:

When time is 14 minutes and  distance is 1.68 miles

Speed = \frac{Distance}{time}

Speed = \frac{1.68}{14}

speed  = 0.12

CASE 5:

When time is 17 minutes and  distance is 2.04 miles

Speed = \frac{Distance}{time}

Speed =\frac{2.04}{17}

speed  = 0.12

CASE 6:

When time is 20 minutes and  distance is 2.4 miles

Speed = \frac{Distance}{time}

Speed =\frac{2.4}{20}

speed  = 0.12

In all the cases we get the speed as 0.12

Hence the  equation can be

d = 0.12 m

where d is the distance(in miles) and m is the time(in minutes)

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The <em>expected number of mortgages</em> approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.

<u>The expected number of mortgages approved per week</u> :

  • <em>Mean = (Σfx ÷ Σf)</em>

Expected Number approved = 210 ÷ 104 = 2.019

Hence, it is expected that 2.019 mortageahes would be approved per week.

<u>The standard deviation</u> :

  • <em>Variance = [Σ(Xi - x)² ÷ Σf] </em>

  • <em>Standard deviation = √Variance</em>

Variance = (59.5414 ÷ 104) = 0.0005698

Standard deviation = √0.0005698

Standard deviation = 0.024

Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.

Learn more :brainly.com/question/15528814

3 0
2 years ago
Which of the following statements is true? a. A 30 year fixed mortgage will always result in the lowest payment. b. You must hav
saw5 [17]

Answer:

The correct answer is option C.

Step-by-step explanation:

The lower your interest rate is, the lower your monthly payments are. This is true. The interest rate is directly proportional to monthly or yearly payments. If the rates are high, the installments are high and if the rate of interest is low, the installments are lower.

6 0
3 years ago
Read 2 more answers
Can someone please tell me the answer
Vilka [71]

Answer:

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Longer process:

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8 0
3 years ago
Explain how to find (f^-1)’(b), given that b=f(a).
Ganezh [65]

Answer:

(f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)

Step-by-step explanation:

The function f⁻¹(x) is the reflection of the function f(x) across the line y=x. Every point (a, b) that is on the graph of f(x) is reflected to be a point (b, a) on the graph of f⁻¹(x).

Any line with slope m reflected across the line y=x will have slope 1/m. (x and y are interchanged, so m=∆y/∆x becomes ∆x/∆y=1/m) Since f'(x) is the slope of the tangent line at (x, f(x)), 1/f'(x) will be the slope of the tangent line at (f(x), x).

Replacing x with f⁻¹(x) in the above relation, you get ...

... (f⁻¹)'(x) = 1/f'(f⁻¹(x)) will be the slope at (x, f⁻¹(x))

Putting your given values in this relation, you get

... (f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)

7 0
3 years ago
Rational equation for x, 3x/x+1 + 4/x-2=3
zimovet [89]

Answer:

x = - 10

Step-by-step explanation:

Express the fractions on the left side as a single fraction.

Multiply the numerator/denominator of the first fraction by (x - 2)

Multiply the numerator/denominator of the second fraction by (x + 1)

\frac{3x(x-2)}{(x+1)(x-2)} + \frac{4(x+1)}{(x+1)(x-2)} = 3

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x + 4 = - 6 ( subtract 4 from both sides )

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3 years ago
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