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VARVARA [1.3K]
3 years ago
14

Please please please help answer number 6!!!!!!

Mathematics
1 answer:
Virty [35]3 years ago
6 0
The answer i would have is -1.
Hope I helped if i did please give Brainliest!
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A pool is being filled at the rate of gallon per minute. What is the fill rate for 1 minute?
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Um, it is 1 gallon?

And, please, could you give me the brainliest answer? I need one more before I become a virtuoso and my friend and I are competing. :P
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What’s the ratio of 18:24
lana [24]

Answer:

3:4

Step-by-step explanation:

divide both sides by 6 to get simplest form

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The Department of Commerce in a particular state has determined that the number of small businesses that declare bankruptcy per
skad [1K]

Answer:

B) 0.1487

Step-by-step explanation:

Let X be the discrete random variable that represents the number of events observed over a given time period.  If X follows a Poisson distribution, then the probability of observing k events over the time period is:

P(X=k)=\frac{\lambda^{k} *e^{-\lambda} }{k!}

Where:

\lambda=Mean\\k=number\hspace{3}of\hspace{3}events\\e=Euler's\hspace{3}number

So, the probability that exactly 5 bankruptcies occur next month is:

P(X=5)=\frac{6.4^{5} *e^{-6.4} }{5!} =\frac{17.84083537}{120} =0.1486736281\approx0.1487

4 0
3 years ago
The U.S. Bureau of Economic Statistics reports that the average annual salary in the metropolitan Boston area is $50,542. Suppos
xenn [34]

Answer:

(a) P(X > $57,000) = 0.0643

(b) P(X < $46,000) = 0.1423

(c) P(X > $40,000) = 0.0066

(d) P($45,000 < X < $54,000) = 0.6959

Step-by-step explanation:

We are given that U.S. Bureau of Economic Statistics reports that the average annual salary in the metropolitan Boston area is $50,542.

Suppose annual salaries in the metropolitan Boston area are normally distributed with a standard deviation of $4,246.

<em>Let X = annual salaries in the metropolitan Boston area</em>

SO, X ~ Normal(\mu=$50,542,\sigma^{2} = $4,246^{2})

The z-score probability distribution for normal distribution is given by;

                      Z  =  \frac{X-\mu}{\sigma }  ~ N(0,1)

where, \mu = average annual salary in the Boston area = $50,542

            \sigma = standard deviation = $4,246

(a) Probability that the worker’s annual salary is more than $57,000 is given by = P(X > $57,000)

    P(X > $57,000) = P( \frac{X-\mu}{\sigma } > \frac{57,000-50,542}{4,246 } ) = P(Z > 1.52) = 1 - P(Z \leq 1.52)

                                                                     = 1 - 0.93574 = <u>0.0643</u>

<em>The above probability is calculated by looking at the value of x = 1.52 in the z table which gave an area of 0.93574</em>.

(b) Probability that the worker’s annual salary is less than $46,000 is given by = P(X < $46,000)

    P(X < $46,000) = P( \frac{X-\mu}{\sigma } < \frac{46,000-50,542}{4,246 } ) = P(Z < -1.07) = 1 - P(Z \leq 1.07)

                                                                     = 1 - 0.85769 = <u>0.1423</u>

<em>The above probability is calculated by looking at the value of x = 1.07 in the z table which gave an area of 0.85769</em>.

(c) Probability that the worker’s annual salary is more than $40,000 is given by = P(X > $40,000)

    P(X > $40,000) = P( \frac{X-\mu}{\sigma } > \frac{40,000-50,542}{4,246 } ) = P(Z > -2.48) = P(Z < 2.48)

                                                                     = 1 - 0.99343 = <u>0.0066</u>

<em>The above probability is calculated by looking at the value of x = 2.48 in the z table which gave an area of 0.99343</em>.

(d) Probability that the worker’s annual salary is between $45,000 and $54,000 is given by = P($45,000 < X < $54,000)

    P($45,000 < X < $54,000) = P(X < $54,000) - P(X \leq $45,000)

    P(X < $54,000) = P( \frac{X-\mu}{\sigma } < \frac{54,000-50,542}{4,246 } ) = P(Z < 0.81) = 0.79103

    P(X \leq $45,000) = P( \frac{X-\mu}{\sigma } \leq \frac{45,000-50,542}{4,246 } ) = P(Z \leq -1.31) = 1 - P(Z < 1.31)

                                                                      = 1 - 0.90490 = 0.0951

<em>The above probability is calculated by looking at the value of x = 0.81 and x = 1.31 in the z table which gave an area of 0.79103 and 0.9049 respectively</em>.

Therefore, P($45,000 < X < $54,000) = 0.79103 - 0.0951 = <u>0.6959</u>

3 0
3 years ago
The area of a circle is 36/pi cm^2 What is the radius of the circle?
Lady bird [3.3K]

Answer:

the  radius of the circle is 6cm

Step-by-step explanation:

the area of a circle is given to be  = 36πcm²

radius of the circle = ?

to find the radius of the circle lets start by applying  the formula for finding the area of a circle.

area of a circle = πr²

36πcm² = πr²

36π = πr²

divide both sides by π

36π/π = πr²/π

36 = r²

to get the value of r we are going to look for a way of getting rid of the square on "r" by squaring 36

r² = 36

r =√36

r = 6cm

therefore the  radius of the circle is 6cm

5 0
3 years ago
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