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Nutka1998 [239]

3 years ago

11

To pass a math test students must correctly answer at least 0.6 of the questions Donald score is 5/8 Karen score is 4/5 how many

of the students passed the test

1 answer:

ivolga24 [154]3 years ago

8 0

Answer:

Step-by-step explanation:

Donald's score, rewritten as a decimal fraction, is 0.625.

Karen's, similarly rewritten, is 0,8.

Because both of these scores are greater than 0.6, both students passed.

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Prove De Morgan's law by showing that each side is a subset of the other side by considering x ∈ A⎯⎯⎯ A ¯ ∩ B⎯⎯⎯ B ¯ .

adelina 88 [10]

Solution :

We have to prove that $\overline{A \cup B} = \overline{A} \cap \overline{B}$ (De-Morgan's law)

Let $x \in \bar{A} \cap \bar{B},$ then $x \in \bar{A}$ and $x \in \bar{B}$

and so $x \notin \bar{A}$ and $x \notin \bar{B}$ .

Thus, $x \notin A \cup B$ and so $x \in \overline{A \cup B}$

Hence, $\bar{A} \cap \bar{B} \subset \overline{A \cup B}$ .........(1)

Now we will show that $\overline{A \cup B} \subset \overline{A} \cap \overline{B}$

Let $x \in \overline{A \cup B}$ ⇒ $x \notin A \cup B$

Thus x is present neither in the set A nor in the set B, so by definition of the union of the sets, by definition of the complement.

$x \in \overline{A}$ and $x \in \overline{B}$

Therefore, $x \in \overline{A} \cap \overline{B}$ and we have $\overline{A \cup B} \subset \overline{A} \cap \overline{B}$ .............(2)

From (1) and (2),

$\overline{A \cup B} = \overline{A} \cap \overline{B}$

Hence proved.

3 0

3 years ago

A rectangular prism is 10 meters long 4 meters wide and 5 meters tall what is its volume

mr_godi [17]

The formula of a prism is Volume = Base x Width x Height

3 0

3 years ago

Read 2 more answers

The period of y= -3cos x/8 is

Marysya12 [62]

Y=7.8com %75 679000 then multiple them wait don't think got it right

5 0

3 years ago

The inequality of the graph

fiasKO [112]

Answer:

$\displaystyle y > 4x - 2$

Step-by-step explanation:

Starting from the y-intercept of $\displaystyle [0, -2],$ you do $\displaystyle \frac{rise}{run}$ by either moving four blocks <em>south</em><em> </em>over one block <em>west</em><em> </em>or four blocks <em>north</em><em> </em>over one block<em> east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be <em>less</em><em> </em><em>than</em><em> </em>and <em>greater</em><em> </em><em>than</em><em> </em>since this is a <em>dashed</em><em> </em><em>line</em><em> </em>graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:

<em>Greater</em><em> </em><em>than</em>

$\displaystyle 0 > 4[0] - 2 → 0 > -2$ ☑

<em>Less</em><em> </em><em>than</em><em> </em>

$\displaystyle 0 < 4[0] - 2 → 0 ≮ -2$

This graph is shaded in the portion of the origin, so you would choose the <em>greater</em><em> </em><em>than</em><em> </em>inequality symbol to get this inequality:

$\displaystyle y > 4x - 2$

I am joyous to assist you anytime.

3 0

4 years ago

What is the volume (in cubic centimeters) of a cube with 4cm sides?

vova2212 [387]

I think it is 64 just multiply 4 times 4 times 4 because of the sides and to find volume you need to multiply the sides and the height so it should be 64.

8 0

3 years ago