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3 years ago

Very urgent. Please help

Mathematics

2 answers:

Nezavi [6.7K]3 years ago

8 0

Answer:

(2) 68°

Step-by-step explanation:

Since the required m angle B = 68°

masya89 [10]3 years ago

5 0

It would be (3) because the measure of angle B is simply 180 degrees minus the measure of angle ACD

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The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. If the rate at which

Orlov [11]

Answer:

2 mph

Step-by-step explanation:

time = distance / speed

Let c represent the rate of the current. Then the upstream rate of the boat relative to the shore is (5c -c) = 4c, and the upstream time is ...

... 12/(4c) = 3/c.

Likewise, the downstream rate is (5c +c) = 6c, and the downstream time is ...

... 12/(6c) = 2/c.

The total time is the sum of upstream and downstream times:

... 3/c +2/c = 2.5

... 5/c = 2.5 . . . . . . combine terms

... 5/2.5 = c = 2 . . . multiply by c/2.5

6 0

2 years ago

The manufacturer of an electronic device claims that the probability of the device failing during the warranty period is 0.005.

Zielflug [23.3K]

Answer:

The value is $P(X \ge 15) = 0.5$

Step-by-step explanation:

From the question we are told that

The probability of the device failing during the warranty period is $p = 0.005$

The sample size is $n = 3000$

The random variable considered is x = 15

Generally this is distribution is binomial given the fact that there is only two out comes hence

X which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

$X \~ \ B(n , p)$

Now the mean is mathematically evaluated as

$\mu = n * p$

=> $\mu = 3000 * 0.005$

=> $\mu =15$

The standard deviation is mathematically represented as

$\sigma = \sqrt{np(1 -p )}$

=> $\sigma = \sqrt{3000 * 0.005 * (1 - 0.005 )}$

=> $\sigma = 3.86$

Now given that n is very large, then it mean that we can successfully apply normal approximation on this binomial distribution

$P(X \ge 15) = P( \frac{X - \mu}{\sigma } \ge \frac{x - \mu}{\sigma } )$

Now applying Continuity Correction we have

$P(X \ge (15-0.5)) = P( \frac{X - \mu}{\sigma } > \frac{(15 -0.5) - 15}{3.86 } )$

Generally $\frac{X - \mu}{\sigma } = Z (The \ standardized \ value \ of \ X)$

$P(X \ge (15-0.5)) = P(Z >-0.130 )$

From the z-table

$P(Z >-0.130 ) =0.5$

Thus

$P(X \ge 15) = 0.5$

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3 years ago

Kahn academy question:

Rufina [12.5K]

Answer:

2.97×10³

Step-by-step explanation:

3600 - 6.3×10² = 3600 -6.3×100 = 3600 -630 = 2970

= 2.97×1000

= 2.97×10³

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Your calculator can accept and display numbers in scientific notation.

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2 years ago

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Tom [10]

Answer: 72

Step-by-step explanation:

just did it

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3 years ago

Over the next week you want to watch a movie a day. In how many ways can this be done if you have 8 movies

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7 0

3 years ago

Read 2 more answers