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3 years ago

8

The daytime temperature on the moon can reach 130°C. The nighttime temperature can get as low as -110°C. What is the difference

between the high and low temperature?

1 answer:

olga2289 [7]3 years ago

4 0

130 + 110 = 240 degree celcius difference between high and low temperature

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A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the

LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

$P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432$

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

$P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1$

The probability that at most 12 ties are too tight is P=1.

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Answer:

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Help on $3.70÷2=no clue

Daniel [21]

3.7/2 = 1.85
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bring down the 0 that's there, but is not shown because it's not important in standard form or decimals.
You get 10 and that's 5
so you have 1.85
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3 years ago

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oksano4ka [1.4K]

Answer:

The function goes to positive infinity as x approaches positive and negative infinity

Step-by-step explanation:

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3 years ago

Find the distance between the two points rounding to the nearest tenth (if necessary).

Sedaia [141]

Answer:

12

Step-by-step explanation:

$We\ know\ that\ distance\ between\ two\ points\ on\ a\ graph\ is\ given\ by\\\\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Here,\\x_1=0\\x_2=1\\y_1=-5\\y_2=7\\Substituting\ them\ in\ our\ formula,\ we\ get:\\\sqrt{(1-0)^2+(7-(-5))^2}\\=\sqrt{1+(7+5)^2} \\=\sqrt{1+144}\\=\sqrt{145}\\=12.04\\Hence\ it\ rounds\ off\ to\ 12.\\$

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