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kirill115 [55]
3 years ago
14

A taxicab charges riders a flat fee of 3.75 and an additional 0.85 per mile of their trips.id Diego was charged 10.55 for his ta

xicab ride, how far was his trip?
Mathematics
1 answer:
alexandr402 [8]3 years ago
7 0

Answer:

8 miles.

Step-by-step explanation:

As we know that the flat fee is 3.75, we can deduct it from the total, 10.55, leaving us with 6.80.

As we also know the rate per mile, we can divide the amount charged for the miles by the mile rate,

680/85 = 8

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Contact [7]

Answer:

x = 19

Step-by-step explanation:

The two angles form a right angle

A right angle has a measure of 90 degrees

Thus, x + 14 + 3x = 90

               ^This is the equation we will use to solve for x

x + 14 + 3x = 90

step 1 combine like terms

x + 3x = 4x

we now have 4x + 14 = 90

step 2 subtract 14 from each side

90 - 14 = 76

14 - 14 cancels out

we now have 76 = 4x

step 3 divide each side by 4

4x / 4 = x

76 / 4 = 19

we're left with x = 19

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3 years ago
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t
Thepotemich [5.8K]

Answer:

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Step-by-step explanation:

We are given that

p=50%=50/100=0.50

n=14

We have to find the probability that exactly 12 buyers would prefer green.

q=1-p

q=1-0.50=0.50

Using binomial distribution formula

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P(x=12)=14C_{12}(0.50)^{12}(0.50)^{14-12}

P(x=12)=14C_{12}(0.50)^{12}(0.50)^2

P(x=12)=14C_{12}(0.50)^{14}

P(x=12)=\frac{14!}{12!2!}(0.50)^{14}

P(x=12)=\frac{14\times 13\times 12!}{12!2\times 1}(0.50)^{14}

P(x=12)=91\cdot (0.50)^{14}

P(x=12)=0.00555

Hence, the probability that exactly 12 buyers would prefer green

=0.00555

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