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3 years ago

A hat contains four balls. The balls are numbered 2, 4, 4, and 7. One ball is randomly selected and

Mathematics

1 answer:

vfiekz [6]3 years ago

6 0

Answer:

If the sum is 6, a small cone will be ordered.
If the sum is 8 or 9, a medium cone will be ordered.
If the sum is 11, a large cone will be ordered.

Step-by-step explanation:

The table below shows the possible outcomes from drawing two balls. We see the relative frequencies to be ...

6: 4

8: 2

9: 2

11: 4

To make a fair decision, we want the relative frequencies of the decision possibilities to be the same. If we combine sums 8 and 9 to one category (medium cone, for example), then 6, (8 or 9), and 11 will all have the same relative frequency: 4.

The appropriate "fair decision" choice is ...

6: small cone

8 or 9: medium cone

11: large cone

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Solve 3x - 5 + x = 31. -12 -9 9 12

steposvetlana [31]

Answer: 9

-12 results in -53

-9 results in -41

9 results in 31

12 results in 43

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2 years ago

Determine whether the statement is always, sometimes, or never true. Lines AB, CD, and EF determine plan P. If GH intersects AB,

Aleks [24]

<h3>Answer: sometimes true</h3>

=======================================================

Explanation:

The plane P can be thought of a perfectly flat ground. Now imagine a flag pole which represents line GH. If AB is drawn in chalk on the pavement, and this line AB intersects the base of the flagpole, then we've made AB and GH intersect. However, this example shows that GH is <u>not</u> on the plane P.

Is it possible to have GH be in the the plane? Yes. We could easily draw another chalk line on the ground to have it intersect AB somewhere. But as the previous paragraph says, it's also possible that GH is not in the plane.

Therefore, the statement is sometimes true

4 0

3 years ago

Nine percent of americans say they are well informed about politics in comparison to most people. You randomly sample 200 americ

Arada [10]

Answer:

Step-by-step explanation:

Using normal distribution

z = (x - mean) / standard deviation

Nine percent of americans say they are well informed about politics in comparison to most people.

That means probability of success is p =9/100 = 0.09,

then probability of failure is

q = 1-p =1 -0.09= 0.91

n = number of sample = 200

x=(8% of 200) = 0.08×200 =16

mean = np = 200×0.09= 18

Standard deviation = npq = 200×0.09×0.91= 16.38

We are looking for the probability that less than 8% of the people sampled will answer yes to the question

8% of 200 = 16

P (x greater than 16) =P(x lesser than/equal to 15)

z = 15-18 /16.38 = -3/16.38

= -0.18

Looking at the normal distribution table

P(x greater than 16) = 0.5714

5 0

3 years ago

A geometric sequence has a4 = 4 and a5 = 7. What is a1 ? Your answer

svetlana [45]

Answer:

4⁴/7³ or 256/343

Step-by-step explanation:

<u>Given GP with </u>

a₄ = 4
a₅ = 7
a₁ = ?

<u>Let the common difference is r, then</u>

a₅ = a₄r
a₁r³ = 4
a₁r⁴ = 7

<u>Solve for r and then a₁:</u>

4r = 7 ⇒ r = 7/4
a₁(7/4)³ = 4
a₁ = 4*(4/7)³ = 4⁴/7³ = 256/343

5 0

3 years ago

Mr. Washington is buying a gallon of milk for $3.99 and some boxes of cereal for $4.39 each. If Mr. Washington has

wolverine [178]

Answer:

$20-$3.99(milk)=$17.01÷$4.39(cereal)=4 boxes of cereal

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2 years ago