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2 years ago

Compare and contrast the words malfunction and dysfunction

1 answer:

8 0

Malfunction means it failed to function how it was designed to behave however dysfunction is when something is working abnormally these two words have to do with doing something improperly

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

2 years ago

Andy randomly selects an outfit to go to school. He can choose from 4 shirts: blue stripes, red stripes, black or white stripes.

denpristay [2]

Answer:

B and D

Step-by-step explanation:

The probability that Andy chooses a striped shirt and a pair of blue shorts is:

$\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}$

The probability that Andy chooses a striped shirt and pair of tan or plaid shorts is:

$\frac{3}{4} * (\frac{1}{3} + \frac{1}{3}) = \frac{6}{12} = \frac{1}{2}$

5 0

2 years ago

Dave spent 21 minutes completing a race. He walked 9 minutes and jogged the rest. What

nasty-shy [4]

Dave jogged for 9 minuets and walked for 12 minuets

6 0

2 years ago

Calculate the Zscore of $80

gayaneshka [121]

The Z-score (z) is calculated according to the formula: z = (x - μ) / σ

Where: x is the raw score value, μ is the mean of the population, σ is the standard deviation of the population.

x = 80, μ = 5, σ = 4

z = (80 - 5) / 4

z = 75 / 4 = 18.7500

Z-score is 18.7500

3 0

2 years ago

A random sample of 50 bottles is selected from the production line of a large manufacturing company. The mean weight of the cont

saveliy_v [14]

Answer:

The population is all bottles in the production line and the sample is the 50 bottles that were selected.

Step-by-step explanation:

Edge 2020

P.S. im on unit 7 test i believe you are still in unit 6 I can help you *wink wink with the assignments and quizs

7 0

2 years ago