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15 days ago

I do not understand how to do this at all. Will someone please help me???

Mathematics

1 answer:

AnnZ [3.8K]15 days ago

4 0

Step-by-step explanation:

Part A: The temperature must exceed -40 and be below 140. -40 < T < 140

Part B: The depicted range is indicated on a number line between -40 and 140, featuring open circles at both extremes. This range signifies the temperatures at which the gas remains in a liquid form.

Part C: No, -49 falls below -40, hence the gas would have solidified.

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Each of the faces of a fair six-sided number cube is numbered with one of the numbers 1 through 6 with a different number appear

babunello [3635]

Answer:

0.2 = 20%

Step-by-step explanation:

The combinations that yield a total of 6 or lower include:

(1,1), (1,2), (1,3), (1,4), (1,5),

(2,1), (2,2), (2,3), (2,4),

(3,1), (3,2), (3,3),

(4,1), (4,2),

(5,1)

(15 combinations in total)

The combinations resulting in a total of 4 are:

(1,3), (2,2), (3,1)

(3 combinations in total)

Thus, the probability of obtaining a sum of 4, given that the total is 6 or less is:

P = 3/15 = 0.2 = 20%

8 0

7 days ago

Decide whether the set A of positive integers divisible by 17 and B the set of positive integers

Inessa [3907]

Answer:

Yes; refer to the question's clarification and the detailed answer below for more information.

Explanation:

Sets are in bijection if there is a bijective function connecting them.

This implies that the question can be interpreted as: can sets A and B be related via a bijective function?

A bijective function must be both injective and surjective, which means it is reversible.

Injective indicates that each element in the domain corresponds uniquely to an element in the codomain.

Surjective denotes that every element in the codomain relates to exactly one element in the domain.

This ensures there are no unmatched elements.

If we consider set A as the function's domain and set B as the codomain.

The core question then becomes: can the set {17, 34, 51, 68, 85,...} be in bijection with the set {11, 22, 33, 44, 55,...}?

Notice that the two sets share no common elements, as 17 and 34 are coprime.

A bijective function can only be established between sets A and B or B and A if both sets possess the same cardinality (number of elements).

Indeed, the cardinality of sets A and B is identical: both sets are of equal size, affirming that a bijective relationship exists between them.

4 0

7 days ago

A merry-go-round has a radius of 18 feet. If a passenger gets on a

Zina [3914]

Answer:

The rotation angle measures 2.11 °

Step-by-step explanation:

Stated as follows:

The radius of the circular path = r = 18 feet

The distance rolled by the wheel = l = 38 feet

Let us denote the angle of rotation as Ф

Now, according to the problem:

∵ the length of an arc at the center corresponds to an angle Ф

Thus,

distance rolled by the wheel = π × radius × $\frac{\Theta }{180^{\circ}}$

As 180° represents π radians

And π approximates to 3.14

Thus, distance rolled by the wheel = 180 °× radius × $\frac{\Theta }{180^{\circ}}$

That is l = r × Ф

So, Ф = $\frac{l}{r}$

Consequently, Ф = $\frac{38 feet}{18 feet}$

Therefore, Ф = 2.11 °

Thus, the rotation angle is Ф = 2.11 °

Hence, the rotation angle is 2.11 ° Answer

6 0

16 days ago

There are seven boys and five girls in a class. The teacher randomly selects three different students to answer questions. The f

Svet_ta [4321]

The likelihood of selecting one girl is calculated as $\frac{5}{12}$ . This is based on having 5 girls within a total of 12 students, and the probability of an event can be expressed as: $\frac{\text{# of things you want}}{\text{# of things are possible}}$ .

Using the same reasoning, for the next student, we have reduced the number of students by 1, leading to 11 possible outcomes instead of 12, giving us: $\frac{7}{11}$ , which represents the probability of selecting a boy as the second choice.