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3 years ago

14

What is 1/3 of 12 1/2?

1 answer:

Natasha_Volkova [10]3 years ago

3 0

To make things easier, convert the mixed number 12 1/2 into a fraction.

12 1/2 = 25/2

1/3 x 25/2 = 25/6

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Find the zeros of the function f(x)=2x^2-7x-30

ivanzaharov [21]

$2x^2-7x-30=0 \\ \\
a=2 \\ b=-7 \\ c=-30 \\
b^2-4ac=(-7)^2-4 \times 2 \times (-30)=49+240=289 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-(-7) \pm \sqrt{289}}{2 \times 2}=\frac{7 \pm 17}{4} \\
x=\frac{7-17}{4} \ \lor \ x=\frac{7+17}{4} \\
x=\frac{-10}{4} \ \lor \ x=\frac{24}{4} \\
x=-\frac{5}{2} \ \lor \ x=6 \\
\boxed{x=-2.5 \hbox{ or } x=6}$

6 0

3 years ago

What is g(–3) in the function g(x) = 4x2 + 3?

EastWind [94]

Answer:

x is equal to -3. So it would be g(-3)=4(-3)+3 and the solve that.

Step-by-step explanation:

Hope this is helpful

4 0

3 years ago

According to a recent poll, 25% of adults in a certain area have high levels of cholesterol. They report that such elevated le

Readme [11.4K]

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma} \\\\for\ a \ sample(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\where\ x=raw\ score,\mu=mean, \sigma=standard deviation$

Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL

a) For x < 210:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{210-260}{35/\sqrt{49} } =-10$

From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001

b) For x > 205:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{205-260}{35/\sqrt{49} } =-11$

For x < 215:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{215-260}{35/\sqrt{49} } =-9$

P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009

c) For x < 200:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{200-260}{35/\sqrt{49} } =-12$

From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001

d) For x > 222:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{222-260}{35/\sqrt{49} } =-7.6$

From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999

7 0

3 years ago

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=31°, and CD = 1.6 feet. Find the length of BC to the nearest tenth of a foot.

son4ous [18]

Answer:

3.1066≈3.1 feet

Step-by-step explanation:

3.1066≈3.1 feet

6 0

3 years ago

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HELPPPppppppppppppppppppppppppppppppppppppp

Lubov Fominskaja [6]

Answer:

d.)

Step-by-step explanation:

7 0

3 years ago