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2 years ago

Answer with explanation please

Mathematics

1 answer:

Drupady [299]2 years ago

7 0

Answer:

D. x>5

Step-by-step explanation:

$3x + 2 < 4x - 3 \\ = 3x - 4x < - 3 - 2 \\ = - x < - 5 \\ = x > 5$

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Which method could be used to factor x2 - 25?

Mandarinka [93]

Answer:

A. Perfect square Trinomial

Step-by-step explanation:

Just did its

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3 years ago

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The number of lightning strikes in a year at the top of a particular mountain has a poisson distribution with a mean of 3.8. fin

atroni [7]

Let X be the number of lightning strikes in a year at the top of particular mountain.

X follows Poisson distribution with mean μ = 3.8

We have to find here the probability that in randomly selected year the number of lightning strikes is 0

The Poisson probability is given by,

P(X=k) = $\frac{e^{-mean} mean^{x}}{x!}$

Here we have X=0, mean =3.8

Hence probability that X=0 is given by

P(X=0) = $\frac{e^{-3.8} 3.8^{0}}{0!}$

P(X=0) = $\frac{0.02237 * 1}{1}$

P(X=0) = 0.0224

The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224

5 0

3 years ago

Find z if X=27, μ=20, and α=3.4. Round to the nearest hundredth if necessary.

Scrat [10]

Answer:

A. $Z=2.06$

Step-by-step explanation:

We want to find the Z-score of $X=27$ if the population mean is $\mu=20$ ,and the population standard deviation is $\sigma=3.4$ .

We use the formula:

$Z=\frac{X-\mu}{\sigma}$

We substitute the values to obtain:

$Z=\frac{27-20}{3.4}$

$Z=\frac{7}{3.4}$

$Z=2.06$

The correct answer is A.

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3 years ago

How can you use unit rates to solve pricing problems?

melomori [17]

Answer:

a ratio is a comparison of two numbers or measurements

the objects being compared are called the terms of the ratio.

if the tow terms are different units this is called a rate.

example:

David covers 600 miles in 8 hours and John covers 380 miles in 5 hours. Who is driving faster ?

solution:

Distance covered by David in 1 hour is

= 600 / 8

= 75 miles per hour

Distance covered by John in 1 hour is

= 380 / 5

= 76 miles per hour

When we compare the above unit rates (Distance covered in 1 hour), John is driving faster than David.

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3 years ago

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Writethecoordinatesoftheverticesafteradilationwithascalefactorof 1 5 ,centeredattheorigin. y x -10 10 -10 10 0 S T U S(5, -10) →

densk [106]

Answer:

The answer is below

Step-by-step explanation:

Write the coordinates of the vertices after a dilation with a scale factor of 1/5 , centered at the origin.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Dilation is the reduction or enlargement in the size of an object by a scale factor (k). If k > 1, it is an enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Therefore, if the vertices are dilated with a scale factor of 1/5 , centered at the origin. The new point is:

S(5, -10) → S′(1 , -2) T(10, -10) → T′(2 , -2) U(5, 10) → U′(1 , 2)

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2 years ago

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