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boyakko [2]
3 years ago
6

Simplify each expression below.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0

Answer:

Step-by-step explanation:

A: 2/3 - 1/8 = 16/24 - 3/24 = 13/24  which is greater than 1/3. 8/24 = 1/3

B: 5/6 - 1/4 = 20/24 - 6/24 = 14/24 which is greater than 1/3. 8/24 = 1/3

C: 10/15 - 6/15 = 4/15. 5/15 = 1/3. This is smaller than 1/3

D: 1 1/4 - 1 1/8 = 1/8 which is less than 1/3

Answer: A and B

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Write the standard equation for the circle center (-6,8) that passes through (0,0)
Reil [10]

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 6, - 8), thus

(x + 6)² + (y + 8)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)

r = \sqrt{(0+6)^2+(0+8)^2} = \sqrt{36+64} = \sqrt{100} = 10

Hence

(x + 6)² + (y + 8)² = 100 → D

4 0
3 years ago
​ <br><br> E=6c 2−2c−1 <br> F=−4c 2 +7c+5<br> E+F=<br> ​
shepuryov [24]

Answer:

F=−4c 2 +7c+5

Step-by-step explanation:

5 0
3 years ago
The school water fountain can only fill 3/4 of a jug at a time. With this amount of water, Mr. Kern can water 3/8 of his plants.
Vesnalui [34]

Answer:

\frac{3}{4}  =  \frac{3}{3}   \\  \frac{3}{8}  = x \\ x =  \frac{3}{8}  \times  \frac{4}{3}  \\ x =  \frac{1}{2}

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Solve ? <br><br>-4-4(-x-1)=-4(6+2x)​
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Assume the readings on thermometers are normally distributed with a mean of 0degreesc and a standard deviation of 1.00degreesc.
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Let Z be the reading on thermometer. Z follows Standard Normal distribution with mean μ =0 and standard deviation σ=1

The probability that randomly selected thermometer reads greater than 2.07 is

P(z > 2.07) = 1 -P(z < 2.07)

Using z score table to find probability below z=2.07

P(Z < 2.07) = 0.9808

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The probability that a randomly selected thermometer reads greater than 2.07 is 0.0192

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