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VladimirAG [237]

3 years ago

11

Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was

$24, not including the tip. How many miles did Mike travel by taxi on this ride?

1 answer:

Ira Lisetskai [31]3 years ago

3 0

The answer is 6 miles

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Solve 2x2 + 3x = −8.

77julia77 [94]

Answer:

Final answer iis choice B) $x=\frac{-3\pm i\sqrt{55}}{4}$

Step-by-step explanation:

$2x^2 + 3x =-8$

$2x^2 + 3x +8 = 0$

Compare with quadratic equation $ax^2 + bx +c = 0$ , we get:

a=2, b=3, c=8

Now plug these values into quadratic formula:

$x=\frac{-3\pm \sqrt{\left(3\right)^2-4\left(2\right)\left(8\right)}}{2\left(2\right)}$

$x=\frac{-3\pm \sqrt{9-64}}{4}$

$x=\frac{-3\pm \sqrt{-55}}{4}$

$x=\frac{-3\pm i\sqrt{55}}{4}$

Hence final answer iis choice B) $x=\frac{-3\pm i\sqrt{55}}{4}$

5 0

4 years ago

Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below.

Liula [17]

Answer

She used 6/15 litres of oil in January

Explanation

We are given that, in January, she used 3/5 of the amount of oil she used in February.

We are also given that, she used 2/3 litres of oil in February.

Therefore, amount of oil used in January is:

3/5 • 2/3 = 6/15

She used 6/15 litres of oil in January

8 0

4 years ago

Read 2 more answers

Write the slope and y intercept of each equation:

vichka [17]

Answer:

A) slope = 2, y-intercept = -6

B) slope = -4, y-intercept = 6

Step-by-step explanation:

A) y = 2x - 6

The equation for a line is y = mx + b, where <em>m</em> represents the slope, and <em>b</em> represents the y-intercept. So, to find the slope and y-intercept, all we have to do is look at the line's equation.

Here, the <em>m </em>is 2, so the slope is 2

The <em>b</em> is -6, so the y-intercept is -6

B) y = -4x + 6

Here, the <em>m</em> is -4, so the slope is -4

The <em>b </em>is 6, so the slope is 6

You would graph the equation y = 4x + 6 by plotting a point at the y-intercept of the line, which would be 6. Then, for every time you move one space to the right, you'd plot a point four spaces up to show the slope of four.

7 0

3 years ago

Write your Geometry Statement.<br> If PQ = 6x - 1 and PR = 15x - 29,<br> then QR = ?

Lisa [10]

Answer:

QR = 21x - 30

Step-by-step explanation:

Iff Q - P - R,

Then

QR = PQ + PR

QR = 6x - 1 + 15x - 29

QR = 21x - 30

6 0

3 years ago

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

Sergio [31]

Using the binomial distribution, it is found that:

a) There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.

b) There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.

c) 9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

The values of the parameters are given as follows:

n = 18, p = 0.267.

Item a:

The probability is P(X = 6), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{18,6}.(0.267)^{6}.(0.733)^{12} = 0.1618$

There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.

Item b:

The probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{18,0}.(0.267)^{0}.(0.733)^{18} = 0.0037$

$P(X = 1) = C_{18,1}.(0.267)^{1}.(0.733)^{17} = 0.0245$

$P(X = 2) = C_{18,2}.(0.267)^{2}.(0.733)^{16} = 0.0758$

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0037 + 0.0245 + 0.0758 = 0.104.

There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.

item c:

We have to look at the mean and the standard deviation, given, respectively, by:

E(X) = np = 18 x 0.267 = 4.81.

$\sqrt{V(X)} = \sqrt{18(0.267)(0.733)} = 1.88$

9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

2 years ago