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Crazy boy [7]
3 years ago
5

Martha is braiding a necklace for her friend. The graph below shows the length of the necklace with respect to the length of tim

e Martha has spent braiding.
Select the equation that represents the proportional relationship shown on the above graph.

A. L = 20t

B. L = 1/10t

C. L = 1/20t

D. L = 10t

Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

Answer:

a. L = 20t

Step-by-step explanation:

The length increases by 20 millimeters per minute

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She did not put 36 as a thousand. The real answer is 36,042
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2 years ago
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A population of values has a normal distribution with μ = 155.4 and σ = 49.5 . You intend to draw a random sample of size n = 24
xz_007 [3.2K]

Answer:

(a) The probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.

(b) The probability that a sample mean is between 158.6 and 159.2 is 0.0411.

Step-by-step explanation:

Let the random variable <em>X</em> follow a Normal distribution with parameters <em>μ</em> = 155.4 and <em>σ</em> = 49.5.

(a)

Compute the probability that a single randomly selected value lies between 158.6 and 159.2 as follows:

P(158.6 < X

*Use a standard normal table.

Thus, the probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.

(b)

A sample of <em>n</em> = 246 is selected.

Compute the probability that a sample mean is between 158.6 and 159.2 as follows:

P(158.6 < \bar X

*Use a standard normal table.

Thus, the probability that a sample mean is between 158.6 and 159.2 is 0.0411.

4 0
3 years ago
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Which are the solutions of x2 = –7x – 8?
vovangra [49]

Answer:

The solutions are:

x_1=\frac{-7+\sqrt{17}}{2}     x_2=\frac{-7-\sqrt{17}}{2}

Step-by-step explanation:

We have the following quadratic equation

x^2 = -7x - 8

We can rewrite the equation as follows

x^2+7x + 8=0

Now we use the quadratic formula to solve the equation

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case:

a=1,\ b=7,\ c=8

Then:

x=\frac{-7\±\sqrt{7^2-4(1)(8)}}{2(1)}

x=\frac{-7\±\sqrt{49-32}}{2}

x=\frac{-7\±\sqrt{17}}{2}

x_1=\frac{-7+\sqrt{17}}{2}

x_2=\frac{-7-\sqrt{17}}{2}

7 0
3 years ago
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A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to th
Vladimir [108]

Answer:

The expression of h as function of x is   h = \sqrt{(d + 5500) (d - 5500)}

Step-by-step explanation:

Given as :

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The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = \frac{AC}{BC} = \frac{h}{d}

And sin Ф =  \frac{AB}{BC} = \frac{5500}{d}

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Or,                                     h² = d² - 5500²

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Or,                                     h = \sqrt{(d + 5500) (d - 5500)}

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Answer:

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