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2 years ago

ZAP is a right triangle, with right angle A and sinZ=4/5. What is cos P?

Mathematics

1 answer:

crimeas [40]2 years ago

5 0

Answer:

C. 4/5

Step-by-step explanation:

cos(P) = sin(Z) = 4/5

_____

The cosine of an angle is equal to the sine of its complement. Angles Z and P are complementary.

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Approximate the square root of √31 .Round to two decimal places

ella [17]

Answer: 5.57

Step-by-step explanation:

The square root of 31 is 5.56776436 and if you round that 2 decimals places you get 5.57 bc anything higher than 5 gets rounded up to the next number.

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3 years ago

Heather works 40 hours a week and she earns $11.50 per hour. When Heather works over 40 hours, her pay is 1.5 times her hourly p

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Answer: it’s(A.) 563.50

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2 years ago

Convert 4B from hexadecimal to decimal.

jok3333 [9.3K]

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Step-by-step explanation:

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2 years ago

On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre

Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

$P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}$

$P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514$

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

$P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}$

$P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231$

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

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3 years ago

What is the equation, in point-slope form, for a line that goes through (8,- 4) and has a slope of -5/6

Norma-Jean [14]

Answer:

$y + 4 = -\frac{5}{6}(x - 8)$

Step-by-step explanation:

In the Point-Slope Formula, $y - y_1 = m(x - x_1),$ all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.

5 0

2 years ago