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DedPeter [7]
3 years ago
5

If students’ scores were normally distributed and the mean was 200 with a standard deviation of 40, then what is the probability

, in percentages, that it is below 240?

Mathematics
1 answer:
Sonja [21]3 years ago
4 0

Answer:

  84%

Step-by-step explanation:

The empirical rule tells you that 68% of the standard normal distribution is within 1 standard deviation of the mean. The distribution is symmetrical, so the amount in the lower tail is (1 -68%)/2 = 16%.

Since the number you're interested in, 240, is one standard deviation above the mean (200 +40), the percentage of interest is the sum of the area of the central part of the distribution along with the lower tail:

  68% + 16% = 84%.

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Sophie uses 18 beads to make a necklace.Three sixths of the beads are purple.How many beads are purple
OLga [1]
3/6 of the beads are purple

3/6 simplified = 1/2

1/2 of 18, or 18/2 = 9

9 beads are purple

hope this helps
8 0
3 years ago
Read 2 more answers
Suppose u=<2,−1> and v=<1,−8> are two vectors that form the sides of a parallelogram. Then the lengths of the two di
tigry1 [53]
| u | = √(2² + (-1²)) = √5
| v | = √ ( 1² + (-8)² = √65
cos (u,v) = ( u * v ) / (| u | * | v |) =
 (2 * 1 + ( -1 ) * ( - 8 )) / √5 √ 65 = (2 + 8) / √5 √65 = 10 / (√5 √ 65 )
The length of a larger diagonal:
d 1² = | u |² + 2 |u| |v| + | v |² = 5 + (2 √5 √65 * 10 / √5 √65 )+65
d 1² = 70 + 20 = 90
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d 2² = 70 - 20 = 50
d 2 = √50 = 5√2
Answer:
The lengths of the diagonals are: 3√10 and 5√2 .
8 0
3 years ago
A soccer ball has a mass of about
nordsb [41]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Which expressions are equivalent to 7 (negative three-fourths x minus 3)? Select two options.
polet [3.4K]

<em><u>The equivalent expressions are:</u></em>

7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

7(-\frac{3}{4}x - 3)

We have to find the equivalent expressions

By distributive property,

a(b + c) = ab + ac

Therefore,

7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21

Thus equivalent expressions are found

7 0
3 years ago
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What is the value of the expression below if y=5
Neko [114]

Answer:

25

Step-by-step explanation:

8*5=40

40+6=46

46-10=36

36-9=25

5 0
3 years ago
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