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ycow [4]
3 years ago
9

What is the proportion of scores in a normal distribution between the mean (z = 0.00) and z = +0.52?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer:

20%

Step-by-step explanation:

We are asked to find the proportion of of scores in a normal distribution between the mean (z = 0.00) and z = +0.52.

We will use normal distribution table to find area under normal distribution curve corresponding to given score as:

P(0.00

Using normal distribution table, we will get:

P(0.00

P(0.00

P(0.00

P(0.00

Therefore, approximately 20% of scores in a normal distribution between the given z-scores.

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Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra want
Alisiya [41]

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

  • L is its length
  • W is its width
  • H is its height

The volume of the cone is V = \frac{1}{3} π r² h, where

  • r is the radius of its base
  • h is its height

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = \frac{1}{2} diameter = \frac{1}{2} (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = \frac{1}{3} (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

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∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

6 0
3 years ago
Anyone mind helping me out?
Igoryamba

Answer:

611 square miles

Step-by-step explanation:

Area of triangle = (1/2)*a*b*sinC (formula when u are not given the height of the triangle, but u are given with the angle.)

= (1/2)*30*47*sin(60°)

= 610.54 square miles (2 d.p)

≈611 square miles (rounded to nearest mile)

:)

4 0
3 years ago
three-fifths of the members of the Spanish club are girls there are a total of 30 girls in the Spanish club which statements can
Neporo4naja [7]

Answer:

\frac{3}{5}x=30 or \frac{3}{5}(\frac{5}{3})x=30(\frac{5}{3}) or x = 50

Step-by-step explanation:

8 0
3 years ago
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If f(x)=(x+1)(x-2)(x-3) represents a student's displacement from school in
amm1812
A is the answer to your question
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3 years ago
A: x&gt;106 <br><br> B: x&lt;106<br><br> C: x=106 <br><br><br> Which one is it?
vladimir2022 [97]

Answer:

x is equal to 106

Step-by-step explanation:

when x is on the opposite side of 2 intersecting lines, it will be the same angle as the angle opposite to it

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