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vladimir1956 [14]
3 years ago
10

SHOW YOUR WORK FOR CREDIT!

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0
9x1=9
9-9(3n)
9-27n
Can’t be solved
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What is the GCF of and 18 and 88 *
Yuri [45]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Each day, a young person should sleep 9 hours plus 1 4 hour for each year that the person is under 18 years of age. Assuming the
Andre45 [30]

Answer:

y(x) = 9 + 0.25*(18 - x)

Step-by-step explanation:

We have the following variables:

y: hours of sleep

x: age

Each day, a young person should sleep 9 hours

This means that y is 9 added to something

plus 1 4 hour for each year that the person is under 18 years of age.

For each year the person is under 18 years of age, she should sleep 1/4 = 0.25h on top of the 9 hours.

So the equation relating hours of sleep y and age x is:

y(x) = 9 + 0.25*(18 - x)

7 0
3 years ago
The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05
Tresset [83]

Answer:

(a) Probability that there are no surface flaws in an auto's interior is 0.6065 .

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws is 0.00673 .

Step-by-step explanation:

We are given that the number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05 flaws per square foot of plastic panel.

Let X = Distribution of number of surface flaws in plastic panels

So, X ~ Poisson(\lambda)

The mean of Poisson distribution is given by, E(X) = \lambda = 0.05

which means, X ~ Poisson(0.05)

The probability distribution function of a Poisson random variable is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!}; for  x=0,1,2,3...

Now, we know that \lambda for per square foot of plastic panel is 0.05 and we are given that an automobile interior contains 10 square feet of plastic panel.

Therefore,  for 10 square foot of plastic panel is = 10 * 0.05 = 0.5

(a) Probability that there are no surface flaws in an auto's interior =P(X=0)

    P(X = 0) = \frac{e^{-0.5}*0.5^{0}}{0!} = e^{-0.5} = 0.6065

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws = P(X = 0)^{10}

    So, P(X = 0)^{10} = 0.6065^{10} = 0.00673

8 0
3 years ago
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.y=-2/5x+11/5
ivanzaharov [21]

Answer:

y-intercept (0,11/5)

x-intercept (11/2,0)

Step-by-step explanation:

The y-intercept is obtained when the x-coordinate equals 0 (x=0)

so the y-intercept is (0,11/5)

The x-intercept is obtained when the y-coordinate equals 0 (y=0)

In this case

0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2

So the x-intercept is (11/2,0)

5 0
4 years ago
Find sin A <br>a 4/5<br>b 5/4<br>c 3/5<br>d 5/3<br>e 3/4<br>f 4/3​
romanna [79]

Answer:  4/5 (first choice)

=========================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(A) = BC/AC

sin(A) = 24/30

sin(A) = (6*4)/(6*5)

sin(A) = 4/5

8 0
3 years ago
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