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2 years ago

Lillian put the names of all the cities in the state into a jar. Then, she drew 27 names out of the jar.

Mathematics

1 answer:

andrezito [222]2 years ago

6 0

Answer:

Step-by-step explanation:

There are no factors to make the drawing biased.

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The frequency table shows the results of tossing a number cube 50 times. Which statement

Paul [167]

Answer:

Option (1) is the correct option.

Step-by-step explanation:

From the given frequency table,

Option (1).

Tossing an even number is more likely than tossing an odd number.

Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9

Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7

Which shows frequencies of tossing even numbers are more.

Therefore, Option (1) is correct.

Option (2)

The number 2 will be the next number tossed.

Since it is unpredictable, therefore, this option is incorrect.

Option (3)

Number 4 is half as likely to be tossed as the number 3.

Frequency of tossing number 3 = 6

Frequency of tossing 4 = 10

Frequency of tossing 3 is not the half of tossing 4.

Therefore, Option (3) is incorrect.

Option (4)

Probability of tossing the number 2 = $\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}$

= $\frac{10}{8+10+6+10+7+9}$

= $\frac{10}{50}$

= $\frac{1}{5}$

Therefore, option (4) is incorrect.

3 0

3 years ago

I really need helppppp

Dmitry [639]

Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.

Step-by-step explanation:

The right angle triangle ABC representing the scenario is shown in the attached photo.

Angle A is alternate to the angle of depression, hence, they are the same.

The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.

To determine x, we would apply

the tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 11.1 = 57/x

x = 57/Tan 11.1 = 57/0.1962

x = 290.5 feet to the nearest tenth.

6 0

3 years ago

One of the angles of a regular decagon is 144°. What is the sum of the measures of all the interior angles of this decagon? A. 9

svp [43]

Answer:

The answer would be c. 1440

Step-by-step explanation:

one of the angels would be 144 so you're gonna have to end up multiplying it by 10 which leads to 1440

5 0

3 years ago

Read 2 more answers

The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability d

ollegr [7]

Answer: 0.70

Step-by-step explanation:

Given : The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution:

x 0 1 2 3 4 5

P(X = x) 0.20 0.30 0.20 0.15 0.10 0.05

Using the above probability distribution , the the probability that in a given week there will be at most 3 accidents is given by :_

$P(\leq3)=P(0)+P(1)+P(2)+P(3)\\\\=0.20+0.30+0.20=0.70$

Hence, the required probability = 0.70

7 0

3 years ago

Please help me with 13 and 15 asap

Law Incorporation [45]

Gosh, I've done this problem before. Let's start with 13. In this problem, we're basically just skip counting. For example, in the roses row, in the second bouquet, we know we have to add 4 more flowers, so we can document 8. Continue to skip count for both. For 15, we would have about 96 more movie posters remaining, making our ratio 96:x. So, 96:x = 120:100. Therefore, x would equal 80- as 96:80 equals 120:100. If she needs 80 and already had 100, she should sell 20 posters. Hope this helped.

3 0

3 years ago