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Kay [80]
4 years ago
13

HELPPPP NOW ASAP A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart la

nds in. If you are equally likely to land in any wedge, what is the probability you will score 21 points?

Mathematics
1 answer:
Varvara68 [4.7K]4 years ago
8 0

Answer:

0.

Step-by-step explanation:

It is given that a dartboard has 20 equally divided wedges, and we are awarded the number of points in the section your dart lands in.  

It means you can score from 1 to 20 in one trial.

We need to find the probability we will score 21 points.

Number of wedges with mark 21 = 0

Total number of wedges = 20

\text{Probability}=\dfrac{\text{Number of wedges with mark 21}}{\text{Total number of wedges}}

\text{Probability}=\dfrac{0}{20}

\text{Probability}=0

Therefore, the required probability is 0. It means it is an impossible event.

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In a recent survey of college professors, it was found that the average amount of money spent on entertainment each week was nor
Alenkinab [10]

Answer:

0.0918

Step-by-step explanation:

We know that the average amount of money spent on entertainment is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.

The mean and standard deviation of average spending of sample size 25 are

μxbar=μ=95.25

σxbar=σ/√n=27.32/√25=27.32/5=5.464.

So, the average spending of a sample of 25 randomly-selected professors is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.

The z-score associated with average spending $102.5

Z=[Xbar-μxbar]/σxbar

Z=[102.5-95.25]/5.464

Z=7.25/5.464

Z=1.3269=1.33

We have to find P(Xbar>102.5).

P(Xbar>102.5)=P(Z>1.33)

P(Xbar>102.5)=P(0<Z<∞)-P(0<Z<1.33)

P(Xbar>102.5)=0.5-0.4082

P(Xbar>102.5)=0.0918.

Thus, the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.5 is 0.0918.

5 0
4 years ago
If a camel has 50 packages and the other camel has 258 packages what is the average packages between the two camels
steposvetlana [31]

So to find an average of things, you find the sum of the numbers, divided by the total numbers in the set.

So you add up 258 + 50 = 308.

Divide that by the total numbers (2). 308/2 = 154

4 0
3 years ago
Parallelogram TUVW is graphed on a coordinate plane with vertices at T (3, 4), V (-10,-2), V(-6,5),
zalisa [80]

The coordinates of the dilated vertex V' is (-6p, 5p)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, reflection, rotation and dilation.</em>

<em />

Dilation is the increase or decrease in the size of a figure. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

The Parallelogram TUVW has vertices at T(3, 4), U(-10,-2), V(-6,5) and  W (7,11). If it is dilated by a scale factor p with the origin, the new point is at:

T'(3p, 4p), U'(-10p, -2p), V'(-6p, 5p) and W'(7p, 11p)

Find out more on dilation at:brainly.com/question/10253650

3 0
2 years ago
Which division problem is equivalent to 38?
ASHA 777 [7]
1710 divides into 45
7 0
3 years ago
Which of the following statements is not true?
Colt1911 [192]
L-1.5l < 0 is not true
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1.5 is greater than zero, therefore, l-1.5l<0 is not true

3 0
3 years ago
Read 2 more answers
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