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NemiM [27]
3 years ago
8

Suppose the scores on a test given to all juniors in a school district are normally distributed with a mean of 74 and a standard

deviation of 8. On a separate sheet of paper, draw a Normal Curve and label the mean, standard deviations, and the associated percentages.

Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

Answer:

\mu -\sigma = 66 , \mu +\sigma = 82

\mu -2\sigma = 58 , \mu +2\sigma = 90

\mu -3\sigma = 50 , \mu +3\sigma = 98

And in the figure attached we see the limits with the percentages associated.

Step-by-step explanation:

For this case we know that the random variable of interest is the scores on a test given to all juniors in a school district follows a normal distribution with the following parameters:

X \sim N(\mu= 74, \sigma =8)

For this case we know from the empirical rule that within one deviation from the mean we have approximately 68.2% of the data, within 2 deviations from the mean we have 95% and within 3 deviation 99.7%

We can find the limits and we got:

\mu -\sigma = 66 , \mu +\sigma = 82

\mu -2\sigma = 58 , \mu +2\sigma = 90

\mu -3\sigma = 50 , \mu +3\sigma = 98

And in the figure attached we see the limits with the percentages associated.

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Answer:

                                                        options ?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
ASAP!
ANTONII [103]

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The value of x is 10. Thus, the correct option is B.

<h3>What are Similar Figures?</h3>

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Since the two prisms are similar, their sides will be in a common ratio. The value of the common ratio will be,

Common ratio = 4/2 = 5/2.5 = 3/1.5 = 2

Since the common ratio of every side is equal to 2, the value of x can be written as,

Common Ratio = 20/x = 2

20/x = 2

x = 10

Hence, the value of x is 10. Thus, the correct option is B.

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3 0
2 years ago
Do the following proofs
Anna11 [10]

1) By the SSS postulate we can tell that these two triangles are congruent.

-> What is SSS?

[] When three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are said congruent by side-side-side

[] The proof for the assignment

AB = DF, AC = DE, BC = EF    |    Given

The triangles are congruent   |    SSS Postulate

2) We can use AAS for these two triangles.

-> What is AAS?

[] When one side and two angles of a triangle are congruent to one side and two angles of another triangle, then the two triangles are said congruent by angle-angle-side

-> How does this apply here?

[] We are given that two angles are congruent to each other, so the angle-angle part is solved for. Since these two triangles share a side, that side will be congruent for each triangle, giving us angle-angle-side

[] The proof for the assignment

Angle T = angle N, angle TAB = angle NAB   |   Given

AB = AB   |    Reflexive Property

The triangles are congruent   |   AAS Postulate

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
2 years ago
Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative invers
monitta

Answer:

See Explanation

Step-by-step explanation:

a) Additive inverse of −2

  • the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.
  • So the Additive inverse of -2 is 2. ∴ -2+2=0

b) Additive identity of −5

  • Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number.
  • -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.

c) additive inverse of 3

  • Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.

d). multiplicative identity of 19

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  • Multiplicative identity if 19 is 1 only, since 19 x 1 = 19.

e) multiplicative inverse of 7

  • Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.

d)  | 11-5|×|1-5|

  • | 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24

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Answer:

P(X>300)

And we can find this probability with the complement rule:

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Step-by-step explanation:

For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

X \sim Unif (a=284.7, b=310.6)

And for this case the probability density function is given by:

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And the cumulative distribution function is given by:

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And we want to find this probability:

P(X>300)

And we can find this probability with the complement rule:

P(X>300)= 1-P(X

6 0
3 years ago
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