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kolbaska11 [484]
2 years ago
11

Caroline's family took a road trip to the Grand Canyon. Caroline fell asleep 58% of the way through the trip. If Caroline fell a

sleep after they had travelled 348 miles, what was the total length of the trip?
Mathematics
1 answer:
luda_lava [24]2 years ago
6 0

Answer:600 miles

Step-by-step explanation:

Hello!  

So you know that 348 miles is equal to 58% so you want to figure out what 1% of the total trip is

348 / 58 = 6

You know that 1% of the trip is 6 miles so now to figure out what the total trip is you multiply 6 by 100

6 * 100 = 600

So you know that the total length of the trip is 600 miles long.

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List the first 5 terms of the sequence -3n -2.<br>​
katrin2010 [14]

Answer:

-5,-8,-11,-14,-17

Step-by-step explanation:

-3n -2

n=1   -3(1) -2 = -3-2 = -5

n=2   -3(2) -2 = -6-2 = -8

n=3   -3(3) -2 = -9-2 = -11

n=4   -3(4) -2 = -12-2 = -14

n=5   -3(5) -2 = -15-2 = -17

7 0
3 years ago
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Consider the probability that at least 93 out of 154 CDs will not be defective. Assume the probability that a given CD will not
Yuki888 [10]

Answer:

0.5962

Step-by-step explanation:

Given that :

p = 61% = 0.61

q = 1 - p = 1 - 0.61 = 0.39

n = 154 ; x = 93

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x>=93) = p(x=93)+p(x=94)+...+p(x=n)

P(x>= 93) = 0.59619

P(x>= 93) = 0.5962

7 0
2 years ago
What is the perimeter of the shape below, given a = 9.60, b = 9.33, c = 4.46, d = 8.56, e = 8.61
GalinKa [24]

Answer:

The perimeter of the shape is of 40.56 units.

Step-by-step explanation:

Perimeter of a shape:

The perimeter of a shape is the sum of the lengths of all its sides.

In this question:

The sides are a = 9.60, b = 9.33, c = 4.46, d = 8.56, e = 8.61.

So

P = a + b + c + d + e = 9.6 + 9.33 + 4.46 + 8.56 + 8.61 = 40.56

The perimeter of the shape is of 40.56 units.

3 0
3 years ago
Find the highest common factor of<br> 72 and 135
andrey2020 [161]

Answer:9

Step-by-step explanation:

Find the prime factorization of 72

72 = 2 × 2 × 2 × 3 × 3

Find the prime factorization of 135

135 = 3 × 3 × 3 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 3

GCF = 9

4 0
2 years ago
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Calculate the margin of error
Pepsi [2]

Answer:

The margin of error is 3.465

Step-by-step explanation:

Margin of error = t × sd/√n

n = 92, degree of freedom = n - 1 = 92 - 1 = 91, t-value corresponding to 91 degrees of freedom and 90% confidence level is 1.6618, sd = 20

Margin of error = 1.6618×20/√92 = 33.236/9.592 = 3.465

7 0
3 years ago
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