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Ratling [72]
3 years ago
11

An environmentalist wants to find out the fraction of oil tankers that have spills each month.

Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

Answer:

The estimate of the proportion of oil tankers that had spills is 0.25.

Step-by-step explanation:

Proportion of oil tankers that had spills:

1036 tankers.

777 did not have spills.

So 1036 - 777 = 259 had spills.

The proportion is:

p = \frac{259}{1036} = 0.25

The estimate of the proportion of oil tankers that had spills is 0.25.

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A snack bar sells two sizes of drinks. A large drink is $5 and a small drink is $3. In one day, they sold 60 drinks for a total
pshichka [43]

Answer:

Step-by-step explanation:

Given:

Cost of L = $5

Cost of S = $3

No. of drinks sold = 60 drinks

Total sale = $220

Solution:

L + S = 60 - (1) (multiplying by 3)

5L + 3S = 220 - (2)

(-)3L +(-) 3S = (-)180 - (1)

2L = 40

L = 40 / 2

L = 20 Large drinks

20 + S = 60

S = 60 - 20

S = 40 small drinks

Therefore, 20 large drinks and 40 small drinks

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3 years ago
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A taxi cab charges a $3.50 flat fee plus a $1.20 fee mile. Write an equation for the total cost, y, after riding for x miles
oksian1 [2.3K]

y = $3.50 + ($1.20/mile)x

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Answer:

x = \frac{5}{8}

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

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2 years ago
Segment FG begins at point F(-2, 4) and ends at point G (-2, -3). Segment FG is translated by (x, y) → (x – 3, y + 2) and then r
Mariana [72]

Answer:

The length of the segment F'G' is 7.

Step-by-step explanation:

From Linear Algebra we define reflection across the y-axis as follows:

(x',y')=(-x, y), \forall\, x, y\in \mathbb{R} (Eq. 1)

In addition, we get this translation formula from the statement of the problem:

(x',y') =(x-3,y+2), \forall \,x,y\in \mathbb{R} (Eq. 2)

Where:

(x, y) - Original point, dimensionless.

(x', y') - Transformed point, dimensionless.

If we know that F(x,y) = (-2, 4) and G(x,y) = (-2,-3), then we proceed to make all needed operations:

Translation

F''(x,y) = (-2-3,4+2)

F''(x,y) = (-5,6)

G''(x,y) = (-2-3,-3+2)

G''(x,y) = (-5,-1)

Reflection

F'(x,y) = (5, 6)

G'(x,y) = (5,-1)

Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:

F'G' = \sqrt{(5-5)^{2}+[(-1)-6]^{2}}

F'G' = 7

The length of the segment F'G' is 7.

8 0
2 years ago
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