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Semenov [28]
3 years ago
12

A home business has an average income of $900.00 per month with a standard deviation of $15.00. If the income in a given month i

s $930.00, what z-score corresponds to this value?
Mathematics
1 answer:
Alex73 [517]3 years ago
7 0
Z score is a statistical that corresponds to the standarization of the regular score to a normal dsitribution

The formula for Z score is Z = [X - mean ]./ (standar deviation)

Here X = 930.00; mean = 900.00; and standard deviation = 15.00

Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00

Answer: 2.00
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Well think about it. If you divide by something less than 1, your number gets bigger.

2 \div 0.1 = 20

Same thing when it's negative, except now the answer is negative. So, if x gets really close to 0, it will be very big, or a big negative number. Remember, "getting close to 0" could mean from the negative side just as well from the positive.
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Given the coordinates for the function below which of the following are coordinates for its inverse
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4 years ago
A rhombus has four 6-inch sides and two 120-degree angles. From one of the vertices of the obtuse angles, the two latitudes are
nikitadnepr [17]

Answer:

Area(A)=Area(C)= 9 in^{2}

Area(B)=13.2 in^{2}

Step-by-step explanation:

We begin with finding the angles a and b that from the drawing attached you can see that a=b.

Now, the sum of the internal angles of a rhomboid is equal to 360 degrees, with that we have:

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Next, in the image you can see that the lines coming from the angle at the top 120 degrees vertex, divide the opposite sides by half, thus making two triangles with one side of 6 in and another of 3 in.

We can say from the drawing as well:

Area(A)+Area(B)+Area(C)=Area(rhomboid)

But, we can also say that Area(A)=Area(C)

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We can then calculate the area B, a rhomboid, or better, take the Total area of the figure and subtract the area of the two triangles.

Area(B)=Area(rhomboid)-Area(A)-Area(C)

Area(rhomboid)=b*h where b=6in and h is the perpendicular distance from the base to the top.

h=[tex]6*cos(30)=5.20in   The 30 degrees come from: 120-30-60=30, since the latitudes split the 120 angle in two equal parts and one that is the half of the obtuse angle.

Area(rhomboid)=5.20*6=31.2 in^{2}

Area(B)=Area(rhomboid)-Area(A)-Area(C)=31.2 in^{2}-9 in^{2}-9 in^{2}=13.2 in^{2}

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3 years ago
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