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3 years ago

Use a graphing calculator to graph the function and its parent function. Then describe the transformations, f(x)=(x+3)+1/4

Mathematics

1 answer:

nlexa [21]3 years ago

8 0

Most of the graphing resources used shows that the graph is translated up by 3.25 (3 + 1/4). If you add the 3 and the 1/4, you get the equation of a line:

f(x) = x + 3.25,

which means that the graph of f(x)= x now has a y intercept of 3.25.

The graphs are below. The red line represents f(x) = x, and the green line represents (x+3)+1/4. Hope this helps!

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Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving

lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

$P(x=0) = ^nC_x P^x (1-P)^n^-^x$

$P(x=0) = ^5C_0 (0.4)^0 (1-0.4)^5^-^0$

$P(x=0) = ^5C_0 (0.4)^0 (0.60)^5$

$P(x=0) = 0.778$

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

$= 1 - P(X = 0)$

$= 1 - ^5C_0 (0.4)^0 * (0.6)^5$

$= 1 - 0.0778$

$= 0.9222$

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

$^5C_0 (0.4)^0 (0.6)^5 + ^5C_1 (0.4)^1 (0.6)^4 + ^5C_2 (0.4)^2 (0.6)^3$

$= 0.6826$

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

$= 1 - [^5C_0 (0.4)^0 (0.6)^5 + ^5C_1 (0.4)^1 (0.6)^4 + ^5C_2 * (0.4)^2 (0.6)^3]$

$= 1 - 0.6826$

$= 0.3174$

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0

3 years ago

PLEASE I NEED HELP. I Don't get this at all:(

klemol [59]

Answer: :,)

Step-by-step explanation:

so u see were the b is in the triangle it want u to find how much b is worth

8 0

3 years ago

50 points!!

Anika [276]

Step-by-step explanation:

The average speed is distance over time.

34 mi / 0.5 hr = 68 mph

Therefore, the driver must have been speeding at some point between the two toll booths.

4 0

3 years ago

A parallelogram with an area of 60 square units is formed by four lines in a coordinate plane. The parallelogram has one vertex

Alika [10]

Answer:

The answer above is wrong, the line is actually supposed to be one to the left, so it would be going through (7,4) and (2,-2)

Step-by-step explanation:

8 0

3 years ago

Jason leaves Detroit at 2:00 PM and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 2:50

Vladimir [108]

Answer:

d = 48t will represent the distance 'd' traveled in 't' hours.

Step-by-step explanation:

Jason leaves Detroit at 2:00 PM and passes through Ann Arbor at 2:50 PM which is 40 mi distant from Detroit.

Speed during this journey was constant.

Jason traveled 40 mi in 50 minutes or $\frac{5}{6}$ hours from Detroit to Ann Arbor.

By the formula,

Speed = $\frac{\text{Distance traveled }}{\text{Time taken to travel this distance}}$

Speed = $\frac{40}{\frac{5}{6}}$

= 48 mi per hour

If he travels 'd' miles in 't' hours then by the formula of speed,

48 = $\frac{d}{t}$

d = 48t

7 0

3 years ago

Use a graphing calculator to graph the function and its parent function. Then describe the transformations, f(x)=(x+3)+1/4​

Use a graphing calculator to graph the function and its parent function. Then describe the transformations, f(x)=(x+3)+1/4