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Ratling [72]
3 years ago
6

Olga runs a business out of her home making quilts. Each month she has fixed costs of $350. In addition, for each quilt she make

s, she incurs an additional cost of $8.75. If her total costs for the month were $560.00, how many quilts did she make?
Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0
She only has made one full quilt and half of another. So 1.5
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4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a
borishaifa [10]

675 people will have score between 85 and 120

Step-by-step explanation:

Given

Mean = 100

SD = 15

If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values

z-score is given by:

for a value x:

z-score = \frac{x-mean}{SD}

So,

For 85:

z-score = z_1 = \frac{85-mean}{SD}\\ = \frac{85-100}{15}\\=\frac{-15}{15}\\=-1

z-score = z_2 = \frac{120-mean}{SD}\\ = \frac{120-100}{15}\\=\frac{20}{15}\\=1.3333

Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.

So,

For z1 : 0.1587

For z2: 0.9082

The area between z11 and z2:

z_2-z_1 = 0.9082-0.1587=0.7495

So the probability of score between 85 and 120 is 0.7495

As the sample is of 900 people, the people with scores between 85 and 120 will be:

900*0.7495 = 674.55 people

Rounding off to nearest whole number

675 people will have score between 85 and 120

Keywords: Probability, SD

Learn more about probability at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

4 0
4 years ago
Find the roots 7x^2 + 46 = 32
Reika [66]

Answer:

i\sqrt{2} (or no solution if you haven't learned about imaginary numbers yet)

Step-by-step explanation:

The first thing you want to do is isolate x, or get x alone.

7x²+46=32

=> 7x²+46-46=32-46

=>7x²=-14

=>7x²÷7=-14÷7

=>x²=-2

If you have learned about imaginary numbers read on. If not, you have to realize that squaring any number can't result in a negative number. This means that there is no solution.

If you have learned about imaginary numbers, read on.

Now that you have x^2=-2, you can take the square root of both sides.

x=\sqrt{-2}

Using a property about square roots (I don't know what it's called)

the equation becomes:

x=\sqrt{-1}\sqrt{2}

And since \sqrt{-1}=i, you can substitute in this value in to get x=i\sqrt{2}.

4 0
3 years ago
the sum of three reciprocals of three consecutive integers is 1/21. write an equation that can be used to find the three integer
zysi [14]
I wish I was good at answering stuff
8 0
3 years ago
Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y =
Mila [183]

Answer:

<h2>The flat pay $25 represents the intercept</h2>

Step-by-step explanation:

To answer this question we need to first understand and compare it with the equation of straight line.

i.e y= mx+c  which is the equation of line

where m= slope

           y= dependent variable

           x= independent variable

          c= intercept

Given

y= 25+5h

comparing both expression we can see that

25 corresponds to c which is the intercept

6 0
3 years ago
Combine the like terms to create an equivalent expression. k + k A 2k B k C 3
PSYCHO15rus [73]

Answer:

2k

k+k=2k

Step-by-step explanation:

5 0
3 years ago
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