Ask question

Ask question

All categories

2 years ago

9

In a New York Times/CBS News Poll, respondents were asked if it should be legal or illegal to send a text message while driving.

Eight said that it should be legal and 804 said that it should be illegal. What is the probability of randomly selecting someone who believes it should be legal to text while driving

1 answer:

AnnZ [28]2 years ago

7 0

Answer: $\dfrac2{201}$

Step-by-step explanation:

Number of persons said it is legal to text while driving = 8

Number of persons said it is illegal to text while driving = 804

Total persons sampled = 804+8 = 812

Since probability = $\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}$

The probability of randomly selecting someone who believes it should be legal to text while driving = $\dfrac{8}{804}=\dfrac2{201}$

Required probability = $\dfrac2{201}$

You might be interested in

In a scale drawing of an apartment 1 centimet represents 2 3/4 feet. If the length of the kitchen is 4 1/2cm on the scale drawin

weeeeeb [17]

Answer:

12 3/8 feet

Step-by-step explanation:

Because 4 1/2 times 2 3/4 equals 99/8, then 99 divided by 8 equals 12 3/8.

3 0

2 years ago

The point P(7, −2) lies on the curve y = 2/(6 − x). (a) If Q is the point (x, 2/(6 − x)), use your calculator to find the slope

NARA [144]

Answer:

a) (i) $m = 2.22$ , (ii) $m = 2$ , (iii) $m = 2$ , (iv) $m = 2$ , (v) $m = 1.82$ , (vi) $m = 2$ , (vii) $m = 2$ , (viii) $m = 2$ ; b) $m \approx 2$ ; c) The equation of the tangent line to curve at P (7, -2) is $y = 2\cdot x + 12$ .

Step-by-step explanation:

a) The slope of the secant line PQ is represented by the following definition of slope:

$m = \frac{\Delta y}{\Delta x} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}$

(i) $x_{Q} = 6.9$ :

$y_{Q} =\frac{2}{6-6.9}$

$y_{Q} = -2.222$

$m = \frac{-2.222 + 2}{6.9-7}$

$m = 2.22$

(ii) $x_{Q} = 6.99$

$y_{Q} =\frac{2}{6-6.99}$

$y_{Q} = -2.020$

$m = \frac{-2.020 + 2}{6.99-7}$

$m = 2$

(iii) $x_{Q} = 6.999$

$y_{Q} =\frac{2}{6-6.999}$

$y_{Q} = -2.002$

$m = \frac{-2.002 + 2}{6.999-7}$

$m = 2$

(iv) $x_{Q} = 6.9999$

$y_{Q} =\frac{2}{6-6.9999}$

$y_{Q} = -2.0002$

$m = \frac{-2.0002 + 2}{6.9999-7}$

$m = 2$

(v) $x_{Q} = 7.1$

$y_{Q} =\frac{2}{6-7.1}$

$y_{Q} = -1.818$

$m = \frac{-1.818 + 2}{7.1-7}$

$m = 1.82$

(vi) $x_{Q} = 7.01$

$y_{Q} =\frac{2}{6-7.01}$

$y_{Q} = -1.980$

$m = \frac{-1.980 + 2}{7.01-7}$

$m = 2$

(vii) $x_{Q} = 7.001$

$y_{Q} =\frac{2}{6-7.001}$

$y_{Q} = -1.998$

$m = \frac{-1.998 + 2}{7.001-7}$

$m = 2$

(viii) $x_{Q} = 7.0001$

$y_{Q} =\frac{2}{6-7.0001}$

$y_{Q} = -1.9998$

$m = \frac{-1.9998 + 2}{7.0001-7}$

$m = 2$

b) The slope at P (7,-2) can be estimated by using the following average:

$m \approx \frac{f(6.9999)+f(7.0001)}{2}$

$m \approx \frac{2+2}{2}$

$m \approx 2$

The slope of the tangent line to the curve at P(7, -2) is 2.

c) The equation of the tangent line is a first-order polynomial with the following characteristics:

$y = m\cdot x + b$

Where:

$x$ - Independent variable.

$y$ - Depedent variable.

$m$ - Slope.

$b$ - x-Intercept.

The slope was found in point (b) (m = 2). Besides, the point of tangency (7,-2) is known and value of x-Intercept can be obtained after clearing the respective variable:

$-2 = 2 \cdot 7 + b$

$b = -2 + 14$

$b = 12$

The equation of the tangent line to curve at P (7, -2) is $y = 2\cdot x + 12$ .

7 0

2 years ago

2) n-1 - 9n<br> can you simplify

Morgarella [4.7K]

-1 - 10n is a simple version

8 0

2 years ago

Read 2 more answers

Divide. Write your answer in simplest form. 6/7 ÷ 5/21

Serjik [45]

The answer is 8/5.
To divide fractions, flip the second fraction and multiply.
For example,
= 6/7 • 21/5
= 126/35
Simplify by dividing both sides by 7 to get your answer.
= 8/5

5 0

3 years ago

In the collection of beads, StartFraction 4 Over 20 EndFraction are blue. Which model shows the percent of beads that are blue?

jolli1 [7]

Option B model shows the percent of beads that are blue.

Solution:

Fraction of beads blue = $\frac{4}{20}$

To convert it into percent multiply the fraction by 100.

$$\text {Percent of} \ \frac{4}{20}=\frac{4}{20}\times 100\%$

$$=\frac{4\times 100}{20} \%$

Cancel the common factors, we get

= 20%

$$=\frac{20}{100}$

This means total number of boxes 100 and shaded in blue color 20.

Therefore option 2 represents $\frac{20}{100}$ .

Hence option B model shows the percent of beads that are blue.

8 0

2 years ago