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2 years ago

The temperature is 8° Fahrenheit. If the weatherman predicts the

Mathematics

2 answers:

exis [7]2 years ago

8 0

-4 degrees Fahrenheit. good luck!

Zina [86]2 years ago

6 0

Answer:

-4 degrees Farenheit

Step-by-step explanation:

8-12=-4

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What is the probability

gulaghasi [49]

Answer: Last Option

$P=0.4125$

Step-by-step explanation:

In this case we have a uniform probability. In the graph the horizontal axis represents the possible values of the variable x and the vertical axis represents the probability P(x).

To calculate the probability that x is between 4.71 and 7.4 we calculate the area under the curve.

The horizontal length between 4.71 and 7.4 is:

$7.4-4.1 = 3.3$ .

Then notice that the vertical length in this interval is 0.125.

Then the area of a rectangle is:

$A = lw$

Where l is the length and w is the width.

In this case we have to:

$l = 3.3$

$w = 0.125$

$P = A = 3.3 * 0.125$

$P=0.4125$

3 0

3 years ago

There are 8 states in the United States that begin with the letter “M.” If you chose a state at random, what is the probability

Goryan [66]

Answer: 8/50

Step-by-step explanation:

simplified is 4/25

4 0

3 years ago

The Apple bars in a Kit Kat candy bar you divide each of the four balls in half write an expression to show the math draw a mode

Sergio039 [100]

This... this makes no sense :')

6 0

3 years ago

PART A: how many miles per gallon does the car get

Nastasia [14]

Part a: 30 gallons (i think)

part b: 220

3 0

3 years ago

A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili

Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

$18x = 3*31$

$x = \frac{31*3}{18}$

$x = 5.17$

So $\mu = 5.17$

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

$P(X \leq 3) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

$P(X \geq 4) = 1 - P(X \leq 3)$

In which

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057$

$P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294$

$P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760$

$P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242$

Finally

$P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758$

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

8 0

3 years ago