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Marat540 [252]
3 years ago
8

Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤53)?

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0

Answer:

Step-by-step explanation:

Use the formula to find the z-score, then go to the table that will give you the probability that the value is less than this z-score.

z=\frac{53-50}{3}=1

The probability that the value lies to the left of 1 on a standard bell curve is 84.1345%, or 84%, the third choice down.

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Paolo is putting a fence around his pool. The length of the pool is 20 feet, the width is (20 minus x) feet, and the area of the
Diano4ka-milaya [45]

Answer:

The value of x = 5

Step-by-step explanation:

Length of the pool = 20 feet

Width of the pool = (20 minus x) feet

Area of the pool = 300 square feet

Area of a rectangular pool = length × width

300 = 20 (20 - x)

300 = 400 - 20x

Subtract 400 from both sides

300 - 400 = 400 - 20x - 400

- 100 = - 20x

Divide both sides by -20

x = -100/-20

= 5

x = 5

The value of x = 5

8 0
3 years ago
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Write each number in expanded form 456
Jlenok [28]

Answer:

400+50+6 easy i want to be brainlist

Step-by-step explanation:


4 0
3 years ago
6⁴ (8003 - 7987) + (20.3 - 1.32) = ?
astraxan [27]

Answer:

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5 0
3 years ago
I need help with figuring out linear functions
Alchen [17]

Answer:

see explanation

Step-by-step explanation:

Part 1

Obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 80) and (x₂, y₂ ) = (2, 110) ← 2 points from the table

m = \frac{110-80}{2-1} = 30

Given the point (0, 50 ) ⇒ c = 50

D(g) = 30g + 50 ← linear equation

A

D(6.5) = (30 × 6.5) + 50 = 195 + 50 = 245

B

D(4.25) = (30 × 4.25) + 50 = 127.5 + 50 = 177.5

C

D(50) = (30 × 50) + 50 = 1500 + 50 = 1550

7 0
3 years ago
Write the equation of a line that passes through (3.5,0) and is perpendicular to 8y+4x=64.
pantera1 [17]

Answer:

y = 2x + 3.5

Step-by-step explanation:

Step 1: find the slope

8y + 4x = 64

8y = 64 - 4x

Make y the subject of the formula

y = (64 - 4x)/8

y = ( -4x + 64)/8

Separate to get slope

y = -4x/8 + 64/8

y = -x/2 + 8

Slope is the coefficient of x

m = -1/2

Note: if two lines are perpendicular to the other , it is negative reciprocal to each other

m = 2

Using the point slope form equation

y - y1 = m(x - x1)

y - y1 = 2(x - x1)

Substitute the point

( 3.5 , 0)

x1 = 3.5

y1 = 0

y - 3.5 = 2( x - 0)

open the bracket

y - 3.5 = 2x - 0

y = 2x - 0 + 3.5

y = 2x + 3.5

The equation of the line is

y = 2x + 3.5

7 0
3 years ago
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