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4 years ago

6

Shelly can cut a lawn with a riding mower in 2 hours less time than it takes William to cut the lawn with a push mower. if they

can cut the lawn in 5 hours working together find how long to the nearest tenth of an hour it takes for William to cut the lawn alone.

1 answer:

Veseljchak [2.6K]4 years ago

5 0

Its 3 becuse shelly can cut a lawn in 2 hours and 2 + 3 = 5

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Apples weigh about 12 ounces each. Ronald bought 4 apples. How many pounds of apples did he buy

kogti [31]

Answer:.75 pounds

Step-by-step explanation:

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4 years ago

Rewrite the equation in polar form.

ycow [4]

Answer:

C) √5(cos(117°) +i·sin(117°))

Step-by-step explanation:

The rectangular number a+bi can be written in polar form as ...

√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))

Here, we have a=-1, b=2, so the magnitude is ...

√((-1)^2 +2^2) = √(1+4) = √5

and the angle is ...

arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle

Then you have ...

-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"

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Comment on the answer

The "polar form" is generally written as ...

(magnitude)·(cos(angle) +i·sin(angle))

You may also see it as ...

(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"

In my engineering courses, we often used the form ...

(magnitude) ∠ (angle)

The form used by my calculator is ...

(magnitude)·e^(i·angle) . . . . . where angle is usually in radians

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3 years ago

The probability is 51% that the sample mean will be between what two values, symmetrically distributed around the population

Alisiya [41]

Answer:

The lower bound is, $-z=-0.69$ and the upper bound is $z=0.69$ .

Step-by-step explanation:

Let the random variable <em>X</em> follows a normal distribution with mean <em>μ </em>and standard deviation <em>σ</em>.

The the random variable <em>Z, </em>defined as $Z=\frac{X-\mu}{\sigma}$ is standardized random variable also known as a standard normal random variable. The random variable $Z\sim N(0, 1)$ .

The standard normal random variable has a symmetric distribution.

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Determine the upper and lower bound as follows:

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Use a standard normal table to determine the value of <em>z.</em>

The value of <em>z</em> such that P (Z ≤ z) = 0.755 is 0.69.

The lower bound is, $-z=-0.69$ and the upper bound is $z=0.69$ .

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3 years ago

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kicyunya [14]

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3 years ago

Determine the input value for which the statement

Phoenix [80]

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Cross multiplication

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4 years ago

Read 2 more answers