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3 years ago

What does 81% 90% 80% and 34% average into 20 points

Mathematics

1 answer:

Alja [10]3 years ago

7 0

Answer:

71.25%.

Step-by-step explanation:

To find the average, we can simply add up the percentages and divide by how many there are.

We can do this by:

$\frac{81 + 90 + 80 + 34}{4}$ = 71.25%

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Here is a venn diagram:

wel

Answer:

a) (i) A∪B are 8, 9, 14, 15, 16, 17

(ii) A ∩ B are 14 and 17

b) The probability that a number chosen at random is in the set A' is 0.7

Step-by-step explanation:

a) (i) The numbers that are in the set A∪B are given as follows;

A∪B = {x: x ∈ A or x ∈ B}

A∪B is the set of all elements "x" such that "x" is a member of A or B

Therefore, A∪B = (8, 9, 14, 15, 16, 17)

(ii) A intersection B, written as , A∩B), is the set of elements belonging to both set A and set B

A∩B = {x: x ∈ A and x ∈ B}

Therefore;

A ∩ B = 14 and 17

b) The set A' which is the complement of A are the elements in the universe which are not in A

The number of elements in the Venn diagram = 10 (numbers)

The number of elements in the set A' = 7

The probability that a number chosen at random is in the set A', P(A') is given as follows;

P(A') = (The number of elements in the set A')/(The number of elements in the Venn diagram)

∴ P(A') = 7/10 = 0.7

7 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!!!<br> 20 POINTS !!!!!!!!!

Kryger [21]

The first one I'll go with 2nd one ...But I'm dumb so hope that helps

8 0

3 years ago

Read 2 more answers

Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triang

Vladimir [108]

Answer:

$cos^2\theta + sin^2\theta = 1$

Step-by-step explanation:

Given

$(\frac{b}{r})^2 + (\frac{a}{r})^2$

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2$

Going by the Pythagoras theorem, we can assume the following.

a = Opposite
b = Adjacent
r = Hypothenuse

So, we have:

$Sin\theta = \frac{a}{r}$

$Cos\theta = \frac{b}{r}$

Having said that:

The expression can be further simplified as:

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = 1$

Substitute values for sin and cos

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = 1$ becomes

$cos^2\theta + sin^2\theta = 1$

3 0

3 years ago

A nurse sees 24 patients in 5 hours. At this rate, approximately how many patients will the nurse be able to see in a 8-hour per

Vikki [24]

Hi!

We will solve this using proportions, like this:

24 patients in 5 hours

x patients in 8 hours

_________________

x = (24*8)/5

x = 192/5

x = 38,4

The nurse will be able to see 38,4 patients in a 8-hour period, but because it's patients we are talking about, living things which can't be represented in decimal form, the nurse will be able to see approximately 38 patients in a 8-hour period.

Hope this helps!

4 0

3 years ago

A relation is plotted as a linear function on the coordinate plane starting at point C (0,−1)(0,−1) and ending at point D (2,−11

Alika [10]

To find the rate of change, or slope, pick two points. The slope, is change in y coordinates over change in x coordinates.
$slope = \frac{y2-y1}{x2-x1}$ .

In this case, the slope is
$\frac{-11+1}{2-0} = \frac{-10}{2} = -5$ .
Remember that subtracting a negative number equals adding the number without the negative sign.
a-(-b) = a+b

Now for the y-intercept. The y-intercept is where the graph intersects the y-axis, where x = 0.
You have the coordinate (0, -1), where x = 0. So the y-intercept is -1.

Putting these values into the slope-intercept form y = mx+b, the equation is
y = -5x - 1

4 0

3 years ago