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xz_007 [3.2K]
3 years ago
6

Find each unit rate:

Mathematics
1 answer:
Sidana [21]3 years ago
7 0

Answer:

The unit rate is 60 miles per hour

The unit rate is 2.5 meters per second

The unit rate is 12 customers per day

The unit rate is 1.592 dollars per pound

Step-by-step explanation:

* Lets explain how to find the rate

- A rate is the ratio between two related quantities in different units

- To find the unit rate, divide the numerator of the given rate by the

 denominator of the given rate

* <em>Lets solve the problem</em>

# 420 miles in 7 hours

∵ The distance is 420 miles in time 7 hours

- The unit rate is how many miles in 1 hour

∴ The unit rate = 420 ÷ 7 = 60 miles per hour

∴ The unit rate is 60 miles per hour

# 40 meters in 16 seconds

∵ The distance is 40 meters in time 16 seconds

- The unit rate is how many meters in 1 second

∴ The unit rate = 40 ÷ 16 = 2.5 meters per second

∴ The unit rate is 2.5 meters per second

# 360 customers in 30 days

∵ There are 360 customers in 30 days

- The unit rate is how many customers in 1 day

∴ The unit rate = 360 ÷ 30 = 12 customers per day

∴ The unit rate is 12 customers per day

# $7.96 for 5 pounds

∵ The cost is $7.96 for 5 pounds

- The unit rate is the cost of per pound

∴ The unit rate = 7.96 ÷ 5 = 1.592 dollars per pound

∴ The unit rate is 1.592 dollars per pound

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skad [1K]

Answer:

- 0.964

Step-by-step explanation:

Given that Coefficient of determination (R^2) = 0.93

Slope of regression line = - 5.26

The linear correlation Coefficient =?

The Coefficient of determination (R^2) is used to obtain the proportion of explained variance of the regression line. It is the square of the linear correlation Coefficient (R).

Hence. To obtain the linear correlation Coefficient (R) from the Coefficient of determination (R^2); we take the square root of R^2

Therefore,

R = √R^2

R = √0.93

R = 0.9643650

R = 0.964

However, since the value of the slope is negative, this depicts a negative relationship between the variables, hence R will also be negative ;

Therefore, R = - 0.964

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2 years ago
PLEASE HELP! The trail around Mirror Lake in Yosemite National park is 5 miles long. What fraction describes how much more of th
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Answer:

  • Jon - Andrea = 1/10
  • Callie - Jon = 3/10

Step-by-step explanation:

In terms of tenths, the distances each hiked are ...

  • Andrea — 4/10
  • Jon — 5/10
  • Callie — 8/10

Then the differences of interest are ...

  Jon - Andrea = 5/10 -4/10 = 1/10

  Callie - Jon = 8/10 - 5/10 = 3/10

__

Jon hiked 1/10 of the trail more than Andrea.

Callie hiked 3/10 of the trail more than Jon.

6 0
3 years ago
A school made $880 from ticket sales for the school play. From the ticket sales, $250 were from adult tickets.
Alecsey [184]

Answer:

126 Students

Step-by-step explanation:

First, you subtract the money from the adult tickets from the total ($880), that leaves $630.

Since each student ticket is $5, you divide $630 by 5, which equals 126.

So, 126 students attended.

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2 years ago
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Someone please helpppppo
kifflom [539]

Answer:

1: No, they're not similar polygons

2: Yes, they're similar polygons

Step-by-step explanation:

1: DF/AC = 8/6 = 1.3repeating

  FE/CB = 6/4 = 1.5

there is no constant of proportionality

2: 48/40 = 1.2

   35/30 = 1.2

the constant of proportionality is 1.2

3 0
3 years ago
What is the measure of the other acute angle ?
Vaselesa [24]

Answer:

62^{o}

Step-by-step explanation:

All the angles in a triangle add up to 180^{o}

Every right angle triangle has a right angle in it which is 90^{o}

So to find the remaining angle, you do 180^{o} - 90^{o} - 28^{o} = 62^{o}

7 0
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