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VARVARA [1.3K]
3 years ago
8

The following data summarizes results from 945 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths

is randomly​ selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated.
Pedestrian
intoxicated not intoxicated
Driver intoxicated 64 68
not intoxicated 292 521
Mathematics
1 answer:
VikaD [51]3 years ago
6 0

Answer:

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

945 accidents.

In 64 of them, the pedestian was intoxicated.

In 292 of them, the driver was intoxicated.

Probability that the pedestrian was intoxicated or the driver was intoxicated.

(64+292)/945 = 0.3767

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

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3 years ago
Find the simplified product b-5/2b x b^2+3b/b-5
White raven [17]

Answer:

The product \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}

Step-by-step explanation:

Given expression \frac{b-5}{2b} and \frac{b^2+3b}{b-5}

We have to find the product of  \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}

   

Consider the given expression  \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}

Multiply fractions, we have,

\frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}

=\frac{\left(b-5\right)\left(b^2+3b\right)}{2b\left(b-5\right)}

Cancel common factor ( b - 5 )

we have, =\frac{b^2+3b}{2b}

Apply exponent rule,

\:a^{b+c}=a^ba^c

b^2=bb

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=\frac{b\left(b+3\right)}{2b}

Cancel common factor b , we have,

=\frac{b+3}{2}

Thus, the product  \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}

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Ezra drew a scale drawing of a house and its lot. The deck is 90 inches wide in the drawing.
NARA [144]

Answer:

a). Scale: 1 inch:0.4 feet

b). actual measurement=24 feet

Step-by-step explanation:

a).

Step 1

We know that;

1 foot=12 inch

Step 2

Convert 36 feet to inches as follows

If 1 foot=12 inches, then 36 feet converted to inches will be;

(36×12)=432 inches

actual measurement=432 inches

Step 3

We can express the relation ship between the drawing measurement and the actual measurement as follows;

Actual measurement=scale factor×drawing measurement

where;

actual measurement=432 inches

drawing measurement=90 inches

scale factor=s

replacing;

432=s×90

90 s=432

s=432/90

s=4.8

Meaning in order to convert a drawing measurement in inches to the actual measurement in inches, we multiply the drawing measurement by a scale factor of 4.8. This implies;

1 inch drawing represents 4.8 inches on the actual deck, or similarly;

1 inch drawing represents (4.8/12), 0.4 feet on the actual deck

Scale: 1 inch:0.4 feet

b). Convert 5 inches drawing to actual measurement

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where;

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replacing;

actual measurement=(5×4.8)=24 feet

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