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Alekssandra [29.7K]
3 years ago
11

Triangle lmn will be dilated with respect to the origin by a scale factor of 1/2

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Answer:

the issue will be for 4/5

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Suppose that 12% of test scores for the unit 1 test were above 85 and 8% were below 70. Assuming a normal
Doss [256]

Answer:

Mean = 78.2

Standard deviation = 5.8

Step-by-step explanation:

Mathematically z-score;

= (x-mean)/SD

From the question;

12% of test scores were above 85

Thus;

P( x > 85) = 12%

P(x > 85) = 0.12

Now let’s get the z-score that has a probability of 0.12

This can be obtained from the standard normal distribution table and it is = 1.175

Thus;

1.175 = (85 - mean)/SD

let’s call the mean a and the SD b

1.175 = (85-a)/b

1.175b = 85 - a

a = 85 - 1.175b ••••••••(i)

Secondly 8% of scores were below 70

Let’s find the z-score corresponding to this proportion;

We use the standard normal distribution table as usual;

P( x < 70) = 0.08

z-score = -1.405

Thus;

-1.405 =( 70-a)/b

-1.405b = 70-a

a = 70 + 1.405b ••••••(ii)

Equate the two a

70 + 1.405b = 85 - 1.175b

85 -70 = 1.405b + 1.175b

15 = 2.58b

b = 15/2.58

b = 5.81

a = 70 + 1.405b

a = 70 + 1.405(5.81)

a = 78.16

So mean = 78.2 and Standard deviation is 5.8

4 0
3 years ago
Mandy's square quilt measures 99 in on each edge. how many yd of trim does she need to buy to go around the entire quilt
Masteriza [31]
4x99=396in
1 yard=36 in
so there for mandy needs 11 yards of trim
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3 years ago
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There will be 127 for each kid for a laptop
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Kid got 50 things of ravioli. He puts 30 rats in his ravioli. What is the percentage of ravioli that doesn't have rats in it com
GREYUIT [131]

Answer:

60% to 40%

Step-by-step explanation:

4 0
2 years ago
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Multiplying or dividing two related quantities by the same number is called; what?
tamaranim1 [39]
I believe this is called scaling. This is the word that I am associating with your definition, as well as what many internet sources say. I am not 100% sure, but I think this is correct. Hope this helps.
6 0
3 years ago
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