I need help with this please

For this question, we need to analyze the graph given and look at how many people scored 601 or above on the math portion. So, looking at the answers given we aren't going to have a smaller number of only 16 or 10, since they are both equal to or higher than 601. So, we need to add the amount of students that scored the 601 or higher amount.

16 + 10 = 26.

This answer matches up with the answer given of A).

Question 6)

For this question, it is similar except you don't add the numbers given. Instead, the question is asking for a specific amount given. So, looking at the answers given, yes 18 and 6 did score below 500, but the question asked "...scored 500 or below?" This is a specific question telling us about the 500 or below, which is in one column. As shown in the graph, 30 students scored this specific amount, which gives us our answer of D).

I hope that this helps.

7 0

2 years ago

Write an inequality that represents the following sentence: 45 more than a number is greater than 5.

Anvisha [2.4K]

An inequality that represents the following sentence: 45 more than a number is greater than 5 is

x-45>5

This is further explained below.

<h3>Write an inequality that represents the following sentence: 45 more than a number is greater than 5.?</h3>

Generally, An inequality is a relation in mathematics that makes a non-equal comparison between two numbers or other mathematical expressions. In other words, an inequality compares two numbers in a way that is not equal.

The most common use of this concept is to contrast the relative sizes of two integers using a number line.

In conclusion, An inequality that represents the following sentence: 45 more than a number is greater than 5 is

x-45>5

Read more about inequality

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8 0

2 years ago

Given the following relations on the set of all integers where (x,y)∈R if and only if the following is satisfied. (Check ALL cor

Wewaii [24]

Answer:

a) symmetric

b) symmetric, reflexive, transitive

c) antisymmetric

d) symmetric

Step-by-step explanation:

(a) x+y = 0

- this relation is not reflexive, because the only element that relates with itself is 0. x+x = 2x, x+x = 0 only if 2x = 0, hence x = 0. Since 0 relates with itself, then the relation isnt irreflexive either.

Note that for x,y such that x R y, we have that x+y = 0, therefore, y = -x.

-If x,y,z are such that x R y, y R z, then y = -x, z = -y = -(-x) = x. In general x does not relate with z because z=x and the relation isnt reflexive, thus the relation is not transitive. For example, if x = z = 2, y = -2, we have that xRy, yRz, but x does not relate with z.

- This realtion is symmetric due to the commutativity of the sum. If xRy, then x+y = 0, and y+x = x+y = 0, hence yRx. Therefore, the relation cant be antisymmetric, because every element different from 0 relates to its opposite. For example 2R-2, -2R2 but 2 ≠ -2.

b) x-y is an integer

Since we are taking the substraction of two integers, the result will always be integer. Hence, every pair of elements relate within each other. As a result, the relation is symmetric, reflexive and transitive. However, it is not irreflexive nor antisymmetric, because for example 4R4, and 4R8, 8R4, but 4 is not 8.

c) x = 2y

Note that x = 2x only if x = 0, so the relation is neither reflexive nor irreflexive.

The relation is not symmetric, for example, 4R2 because 4 = 2*2, but 2 does not relate with 4, because 4*2 = 8. However, the relation is antisymmetric, because if xRy, yR2, we have

x = 2y

y = 2x = 2(2y) = 4y

since y = 4y, y should be 0, and x = 2*0 = 0. Therefore x=y = 0. The relation is antisymmetric.

The relation isnt transitive: 2R4, 4R8, but 2 does not relate with 8 because 8*2 = 16.

d) xy>1

since 0² = 0, 0 does not relate with itself, hence the relation is not reflexive. It is not irreflexive either, because, for example, 2*2 = 4 > 2, thus 2 relates with itself.

The relation is not transitive: 1 relates with every integer greater than itself, but it does not relate with itself, for example 1R7 and 7R1 because 1*7=7*1 = 7 > 1, but 1*1 = 1, it is not greater than 1, hence 1 doesnt relate with itself. This also shows that the relation is not antisymmetric either, because 1R7, 7R1 but 1≠7. The relation, however, is symmetric due to the commutativity of the product. If xy > 1, then yx = xy >1 as well.

I hope that works for you!

8 0

4 years ago