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3 years ago

1. What are the intercepts of the equation 2x+3/2y+3z=6

Mathematics

2 answers:

Yanka [14]3 years ago

8 0

Answer:

x-intercept=3

y-intercept=4

z-intercept=2

Step-by-step explanation:

Roman55 [17]3 years ago

4 0

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Shopping for a freezer, Manuit finally settled on one with a purchase price of $850. The annual cost of operating the freezer is

MatroZZZ [7]

Answer:

In 12 months

Step-by-step explanation:

Let a = year when average the average cost of owning a freezer would be less than $117

($850 + $40a) / a < $117

$850 + $40a < $117a

collecting like terms

$850 < $77a

a = 11.04 months

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4 years ago

The rate at which customers are served at an airport check-in counter is a Poisson process with a rate of 8.1 per hour. The prob

just olya [345]

Answer:

Value of a is 0.667

Step-by-step explanation:

We are given the following in the question:

The rate of customer at an airport follows a Poisson distribution with

$\lambda = 8.1$

The normal approximation of Poisson distribution can be done in the following manner

$\mu = \lambda = 8.1\\\sigma^2 = \lambda = 8.1\\\sigma = \sqrt{8.1} = 2.85$

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of a such that

$P(X_p > 50)=P(Z > a)$

More than 50 customers per 5 hours means more than 10 customer per hour.

Thus, we can write

$P( x > 10) = P( z > \displaystyle\frac{10 - 8.1}{2.85}) = P(z > 0.667)$

Therefore, value of a is 0.667

4 0

3 years ago

Recall that the volume of a sphere is given by the formula <img src="https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%2

pav-90 [236]

Answer:

280.19 ft³

Step-by-step explanation:

1. put value of "pie".

2.put value of r.

3. 4³=64

4. multiply all the upper number=5632

5. multiply denominator/ LCM= 21

6. 5632÷21= 268.19 ft³

7 0

2 years ago

The mean output of a certain type of amplifier is 102 watts with a standard deviation of 12 watts. If 63 amplifiers are sampled,

sammy [17]

Answer:

0.97547

Step-by-step explanation:

Given That:

Mean (m) = 102

Standard deviation (σ) = 12

Sample size (n) = 63

Probability that sample mean would differ from Population mean by less than 3.4 watts

P(m - s < X < m + s)

P(102 - 3.4 < Z < 102 + 3.4)

Using the Z formula :

Zscore = (x - m) / (σ/√n)

x = 102 - 3.4 = 98.6 ; x = 102 + 3.4 = 105.4

Z = (98.6 - 102) / (12/√63) = −2.248888

P(Z < - 2.2488) = 0.012263 (Z probability calculator)

Z = (105.4 - 102) / (12/√63) = 2.2488886

P(Z < 2.2488) = 0.98774 (Z probability calculator)

0.98774 - 0.012263 = 0.97547

4 0

3 years ago

Please help me with this -2(z-3.2)-6.5+z

Yuki888 [10]

Answer:

-Z-18

Step-by-step explanation:

-2z+12-30+z

=-z-18

4 0

4 years ago

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