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3 years ago

Find the zeros for y=x^2-3x-10

Mathematics

2 answers:

attashe74 [19]3 years ago

7 0

Answer:

x=5 and -2

Step-by-step explanation:

Deffense [45]3 years ago

3 0

Answer: y=x^2-3x-10 = The solution is the result of

−

and

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SA = πrs + π r^2 Can someone help me with this problem

ollegr [7]

SA = pirs + pir^2
SA - $\pi$ r^2 = $\pi$ rs

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3 years ago

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Lilly has 5 dogs. 3 of the dogs are brown. Could 3 of the dogs be black? Explain.

ArbitrLikvidat [17]

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3 years ago

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What Expression Is Equivalent To The Given Expression? Assume The Denominator Does Not Equal Zero.

kakasveta [241]

Answer:

cd^4

Step-by-step explanation:

cd^4/c^2d^8

you minus the exponents since it's division, so c^1-c^2=c^-1 and d^4-d^8= d^-4

1/c^-1d^-4 and you take the reciprocal to make it even cd^4

~I think that's right not sure though

3 0

3 years ago

The mean of a population is 74 and the standard deviation is 16. The shape of the population is unknown. Determine the probabili

uysha [10]

Answer:

(a) P( $\bar X$ $\geq$ 76) = 0.2327

(b) P(73 < $\bar X$ < 75) = 0.5035

(c) P( $\bar X$ < 74.8) = 0.77035

Step-by-step explanation:

We are given that the mean of a population is 74 and the standard deviation is 16.

Assuming the data follows normal distribution.

Let $\bar X$ = sample mean

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 74

$\sigma$ = standard deviation = 16

n = sample size

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

(a) Probability that a random sample of size 34 yielding a sample mean of 76 or more is given by = P( $\bar X$ $\geq$ 76)

P( $\bar X$ $\geq$ 76) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{76-74}{\frac{16}{\sqrt{34} } }$ ) = P(Z $\geq$ 0.73) = 1 - P(Z < 0.73)

= 1 - 0.7673 = 0.2327

The above probability is calculated by looking at the value of x = 0.73 in the z table which has an area of 0.7673.

(b) Probability that a random sample of size 120 yielding a sample mean of between 73 and 75 is given by = P(73 < $\bar X$ < 75) = P( $\bar X$ < 75) - P( $\bar X$ $\leq$ 73)

P( $\bar X$ < 75) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{75-74}{\frac{16}{\sqrt{120} } }$ ) = P(Z < 0.68) = 0.75175

P( $\bar X$ $\leq$ 73) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{73-74}{\frac{16}{\sqrt{120} } }$ ) = P(Z $\leq$ -0.68) =1 - P(Z < 0.68)

= 1 - 0.75175 = 0.24825

Therefore, P(73 < $\bar X$ < 75) = 0.75175 - 0.24825 = 0.5035

The above probability is calculated by looking at the value of x = 0.68 in the z table which has an area of 0.75175.

(c) Probability that a random sample of size 218 yielding a sample mean of less than 74.8 is given by = P( $\bar X$ < 74.8)

P( $\bar X$ < 74.8) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{74.8-74}{\frac{16}{\sqrt{218} } }$ ) = P(Z < 0.74) = 0.77035

The above probability is calculated by looking at the value of x = 0.74 in the z table which has an area of 0.77035.

7 0

3 years ago

Find the area of a regular hexagon with apothem 2√3 mm. Round to the nearest whole number.

Varvara68 [4.7K]

Join the center of the hexagon with the 2 base angles.

An equilateral triangle, with side length x, is formed.

(remark: a regular hexagon is made up of 6 equilateral triangles with equal length)

The height $2 \sqrt{3}$ forms 2 congruent right triangles with :

hypotenuse= x, side_1=x/2, and side_2= $2 \sqrt{3}$ .

From the pythagorean theorem we have:

$x^{2} = ( \frac{x}{2} )^{2}+(2 \sqrt{3})^{2}$

$x^{2} = \frac{ x^{2} }{4} +12$

$\frac{3}{4} x^{2} =12$

$x^{2} = \frac{12*4}{3}=4*4$

thus, x=4.

The area of the triangle is 1/2 * 4 * $2 \sqrt{3}$ =6.93 (mm squared)

The area of the hexagon is 6* the area of the triangle = 42 (mm squared)

Answer: a. 42 (mm squared)

8 0

4 years ago