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photoshop1234 [79]

3 years ago

13

You are moving from Winston-Salem to Seattle a trip of about 2000 miles. Your stuff will fill half of the truck and trailer show

n below. The moving company estimates that your belongings average 6.5 lbs per cubic foot. The company chargers $600 to ship 1000lbs. Estimate the cost of shipping your stuff.

1 answer:

Neporo4naja [7]3 years ago

3 0

6.5 x 2000
13000

13000 • 1000
13

13 • 600
$7,800

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Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the pro

lisov135 [29]

Answer:

0.0326 = 3.26% probability that a randomly selected thermometer reads between −2.23 and −1.69.

The sketch is drawn at the end.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

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

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 0°C and a standard deviation of 1.00°C.

This means that $\mu = 0, \sigma = 1$

Find the probability that a randomly selected thermometer reads between −2.23 and −1.69

This is the p-value of Z when X = -1.69 subtracted by the p-value of Z when X = -2.23.

X = -1.69

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

$Z = \frac{-1.69 - 0}{1}$

$Z = -1.69$

$Z = -1.69$ has a p-value of 0.0455

X = -2.23

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

$Z = \frac{-2.23 - 0}{1}$

$Z = -2.23$

$Z = -2.23$ has a p-value of 0.0129

0.0455 - 0.0129 = 0.0326

0.0326 = 3.26% probability that a randomly selected thermometer reads between −2.23 and −1.69.

Sketch:

3 0

3 years ago

Which equation is equivalent to log^x36=2?

Dennis_Churaev [7]

The equation which is equivalent to $\log _{x} 36=2$ is $x^{2}=36$ or x = 6 ( $\log _{6} 36=2$ ).

<u>Step-by-step explanation:</u>

Given Equation:

$\log _{x} 36=2$

As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:

$b^{y}=a$

Then, the base b logarithm of x is equal to y

$\log _{b}(x)=y$

Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,

$b^{y}=a$

$x^{2}=36$

When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as $\log _{6} 36=2$

8 0

2 years ago

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Water rushes over Niagara falls at the rate of 180 million cubic feet every 30 minutes. How much water goes over the falls in 1

Nadusha1986 [10]

Answer:

180'000'000/30 = 6'000'000 ft³

Step-by-step explanation:

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3 years ago

Which of the points listed below is not on the line with equation 7y+2=3x-5

kicyunya [14]

Answer: Second option.

Step-by-step explanation:

Given the folllowing Linear Equation:

$7y+2=3x-5$

You need to substitute the coordinates of each point given in the options into the equation and then evaluate.

1) Substituting $(2, -\frac{1}{7})$ into the equation, you get:

$7(-\frac{1}{7})+2=3(2)-5\\\\-1+2=6-5\\\\1=1\ (TRUE)$

2) Substituting the point $(3, -\frac{3}{7})$ . you get:

$7(-\frac{3}{7})+2=3(3)-5\\\\-3+2=9-5\\\\-1=4\ (FALSE)$

3) Apply the same procedure using the point $(1, -\frac{4}{7})$ :

$7(-\frac{4}{7})+2=3(1)-5\\\\-4+2=3-5\\\\-2=-2\ (TRUE)$

4) Apply the same procedure using the point $(-1, -\frac{10}{7})$

$7(-\frac{10}{7})+2=3(-1)-5\\\\-10+2=-3-5\\\\-8=-8\ (TRUE)$

5) Substituting $(0,-1)$ into the equation:

$7(-1)+2=3(0)-5\\\\-7+2=-0-5\\\\-5=-5\ (TRUE)$

Therefore, the point $(3, -\frac{3}{7})$ is not on the given line.

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3 years ago

Container A has 1600 ml of water and is leaking 12 ml per minute. Container B has 2000 ml and is leaking 20 ml per minute. Let m

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Answer:

Container A i remember this question from years back

Step-by-step explanation:

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3 years ago