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Aleksandr-060686 [28]
3 years ago
15

The La Jolla tide pools are 67.5 miles from the SLMS. A map shows that 2 inches = 15 miles. What distance is SLMS from the tide

pools on the map?
Mathematics
2 answers:
Gwar [14]3 years ago
5 0

Answer:

25

Step-by-step explanation:

because you have to divide by 15's

Oksi-84 [34.3K]3 years ago
4 0

Answer:

9 inches.

Step-by-step explanation:

To find out what d (distance) is, make a proportion of the values you know and d. This would be 15/67.5 = 2/d.

¹⁵/₆₇.₅ = 2/d

<em>Variable d cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by d.</em>

d * (¹⁵/₆₇.₅) = 2

<em>Expand 15/67.5   by multiplying both numerator and the denominator by 10.</em>

d * (¹⁵⁰/₆₇₅) = 2

<em>Reduce the fraction ¹⁵⁰/₆₇₅  to lowest terms by extracting and canceling out 75.</em>

d * (²/₉) = 2

<em>Multiply both sides by ⁹/₂, the reciprocal of ²/₉.</em>

d = (2 * 9)/2

<em>Cancel out 2 and 2.</em>

d = 9

The distance between the SLMS from the tide pools on the map is 9 inches.

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This table shows values that represent an exponential function. What is the average rate of change for this function for the int
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Answer:

\boxed{12}

Step-by-step explanation:

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The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. F
musickatia [10]

Answer:

P(X \geq 1)=1-P(X

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

X \sim Binom(n=2, p=0.01)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

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And we can find the probability:

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

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3 years ago
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Which is steeper, a slide that rises 3 feet for every 2 feet of run, or a sliding pole that rises 5 feet for every 3 feet of run
mezya [45]

Answer:

59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.

Step-by-step explanation:

Step 1

Express the angle of inclination as follows;

Tan∅=H/R

where;

∅=angle of inclination

H=vertical rise

R=distance of run

Step 2

Determine the angle inclination when;

H=3 feet

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replacing;

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∅=Tan^(-1)(1.5)

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Determine the angle inclination when;

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R=3 feet

replacing;

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∅=Tan^(-1)(1.67)

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59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.

6 0
3 years ago
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