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Yanka [14]
3 years ago
10

Weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. Find the probabi

lity that a worker selected at random makes between $250 and $300.

Mathematics
2 answers:
asambeis [7]3 years ago
8 0

Answer:

0.3413

Step-by-step explanation: Hope this helps :)

S_A_V [24]3 years ago
3 0

Answer: 2.35

Step-by-step explanation:

Hope this helps!

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There are 625 students at Median middle school. If 8% of the students were absent on Tuesday , how many students were absent?
kozerog [31]
625/8
=78.12
X100
=7,812
4 0
3 years ago
Find the area of the following geometric figure
romanna [79]

The area of the triangle is 90 m²

Explanation:

Given that the base of the triangle is 15 m

The altitude of the triangle is 12 m

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

Area=\frac{1}{2}bh

where b is the base and h is the altitude

Thus, we have,

b=15 and h=12

Substituting the values in the above formula, we get,

Area=\frac{1}{2}(15)(12)

Multiplying the terms, we get,

Area=\frac{180}{2}

Dividing, we get,

Area=90 \ m^2

Therefore, the area of the triangle is 90 m²

4 0
3 years ago
In a triangle find the Remote exterior angle given the remote interior angles are 27 and 53
Varvara68 [4.7K]

Answer:We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

x + y + z = 180

We know this is true, because the sum of the angles inside a triangle is always 180 degrees. What is w? We don't know yet. But, we may observe that the measure of angle w plus the measure of angle z = 180 degrees, because they are a pair of supplementary angles. Notice how Z and W together make a straight line? That's 180 degrees. So, we can make a new equation:

w + z = 180

Then, if we combine the two equations above, we can determine that the measure of angle w = x + y. Here's how to do that:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

x + y - w = 0

x + y = w

Interesting. This tells us that the measure of the exterior angle equals the total of the other two interior angles. In fact, there is a theorem called the Exterior Angle Theorem which further explores this relationship:

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

Let's try two example problems.

Example A:

If the measure of the exterior angle is (3x - 10) degrees, and the measure of the two remote interior angles are 25 degrees and (x + 15) degrees, find x.

First example of finding an exterior angle

To solve, we use the fact that W = X + Y. Note that here I'm referring to the angles W, X, and Y as shown in the first image of this lesson. Their names are not important. What is important is that an exterior angle equals the sum of the remote interior angles.

6 0
3 years ago
F(x)= x squared -3x + 2 divided by 3x squared + 9 x -12
VashaNatasha [74]

Answer:

=(x-2)/3(x+4)

Step-by-step explanation:

F(x)=x²-3x+2/3x²+9x-12

Using mid term break formula

=x²-2x-x+2/3(x²+3x-4)

=x(x-2)-1(x-2)/3(x²+4x-x-4)

=(x-2)(x-1)/3{x(x+4)-1(x+4)}

=(x-2)(x-1)/3(x-1)(x+4)

Cancelling (x-1)

We get

=(x-2)/3(x+4)

Hope it helps :)

6 0
3 years ago
Is this a function ?
Goshia [24]
I don’t think so, a graph is a function only if the vertical line passes through the graph at one distinct point.

But I’m not exactly sure cus I’m still learning geogebra
6 0
2 years ago
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