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postnew [5]
3 years ago
5

At the same time a 2-yard street sign casts a 3-yard shadow, a nearby utility pole casts a 12.3-yard shadow. How tall is the tel

ephone pole? Round to the nearest tenth if necessary.
A) 18.5 yd
B) 3.2 yd
C) 3.1 yd
D) 3 yd
Mathematics
1 answer:
MrRissso [65]3 years ago
3 0
A) 18.5yd
The shadow cast is equal to .5 yards per every yard of object + the actual measurement
•5(12.3)= 6.15
6.15+12.3=18.45
Round up to 18.5
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Jane is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a number
sleet_krkn [62]

Answer:

The expected value of playing the game is $0.75.

Step-by-step explanation:

The expected value of a random variable is the weighted average of the random variable.

The formula to compute the expected value of a random variable <em>X</em> is:

E(X)=\sum x\cdot P(X=x)

The random variable <em>X</em> in this case can be defined as the amount won in playing the game.

The probability distribution of <em>X</em> is as follows:

Number on spinner:   1           2           3          4           5              6

Amount earned (<em>X</em>):   $1        $4         $7        $10     -$8.75     -$8.75

Probability:                 1/6       1/6         1/6        1/6         1/6           1/6

Compute the expected value of <em>X</em> as follows:

E(X)=\sum x\cdot P(X=x)

         =(1\times \frac{1}{6})+(4\times \frac{1}{6})+(7\times \frac{1}{6})+(10\times \frac{1}{6})+(-8.75\times \frac{1}{6})+(-8.75\times \frac{1}{6})

         =\frac{1}{6}+\frac{4}{6}+\frac{7}{6}+\frac{10}{6}-\frac{8.75}{6}-\frac{8.75}{6}

         =\frac{1+4+7+10-8.75-8.75}{6}

         =0.75

Thus, the expected value of playing the game is $0.75.

5 0
3 years ago
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Valentin [98]

Answer:

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Step-by-step explanation:

Variable data is any kind of information gathered that can be made into a chart or graph representing what was collected. In other words, the data collected must vary.

The first, second, and third answers cannot be made into a chart/graph as it would be a singular number, and not provide varying data (which is required to produce a graph/chart).

The last answer would be correct as one can create a chart as the data collected from that question would vary. For example, five family members could be born in July, six in August, and ten in October. The variable that is "varying" would be these months.

Hope this helps!

6 0
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Advocard [28]

Answer:

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Step-by-step explanation:

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If x^2 - 6xy = z - 9y^2, make x the subject of the formula
alukav5142 [94]

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4 0
2 years ago
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