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3 years ago

Please help me with this question below

Mathematics

1 answer:

BabaBlast [244]3 years ago

4 0

Answer:

381 cubic inches

Step-by-step explanation:

To find the volume of the cube, use the volume formula for a rectangular prism V = l*w*h and for a triangular prism V = 1/2 l*w*h.

<u>Rectangular prism</u>

Substitute l = 16, w = 7, and h = 3.

V = 16*7*3 = 336 cubic inches

<u>Triangular prism</u>

Substitute l = 5, w = 3 and h = 6.

V = 1/2*5*3*6 = 45 cubic inches

Together the volume will be 336 + 45 = 381.

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A signal in a communication channel is detected when the voltage is higher than 1.5 volts in absolute value. Assume that the vol

saw5 [17]

Answer:

The standard deviation of the voltage is $\sigma = 0.91$

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

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

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

The problem states that

Assume that the voltage is normally distributed with a mean of 0, so $\mu = 0$

A signal in a communication channel is detected when the voltage is higher than 1.5 volts in absolute value. What is the standard deviation of voltage such that the probability of a false signal is 0.05?

We know that $P(X>1.5) = 0.05$ . This means that when $X = 1.5$ the zscore has a pvalue of 0.95. Looking at the zscore table, we have that $Z = 1.65$ . So

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

$1.65 = \frac{1.5 - 0}{\sigma}$

$1.65\sigma = 1.5$

$\sigma = \frac{1.5}{1.65}$

$\sigma = 0.91$

The standard deviation of the voltage is $\sigma = 0.91$

4 0

3 years ago

What is the radius of

Nana76 [90]

Answer:

Radius of cylinder = 2 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 75.4 in³

Height of cylinder = 6 inches

Find;

Radius of cylinder

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (3.14)r²(6)

75.4 = (18.84)r²

(Radius of cylinder )² = 75.4 / 18.84

(Radius of cylinder )² = 4.002123

(Radius of cylinder) = 2

Radius of cylinder = 2 inch (Approx.)

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3 years ago

12 birds can eat 12 packets of food in 6 minutes. Assuming that all the birds eat at the same rate, how long will it take 9 bird

Troyanec [42]

Answer:

8 minutes

Step-by-step explanation:

If it takes 12 birds to eat 12 packets of food in 6 minutes that means it takes .5 minutes for 1 bird to eat 1 packet of food. 6÷12=.5

If there is 9 birds to eat 36 packets you first have to multiply the amount of birds times the rate it takes one to eat one packet. 9×.5=4.5 and with this now you know how many packets of food the group of 9 birds can eat per minute. Finally you divide the amount of packets by the amount of packets of food the group of 9 birds can eat per minute. 36÷4.5=8 And that's how they take 8 minutes to eat the 36 packets of food.

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3 years ago

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ANEK [815]

The answer i calculated used a caluculater is 0

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3 years ago

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If slope =2;goes through(-1,4) y =

Alekssandra [29.7K]

The point-slope form of the equation for a line can be used.
.. y = m(x -h) +k . . . . . for slope m through point (h, k)
.. y = 2(x +1) +4

This can be simplified to slope-intercept form.
.. y = 2x +6

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3 years ago