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bearhunter [10]
3 years ago
9

⚠️15 points⚠️ The table shows the linear relationship between the balance of a student's savings account and the number of weeks

he has been saving. Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week? ​
Mathematics
2 answers:
QveST [7]3 years ago
6 0

Answer:

Where is the picture? I can help

Step-by-step explanation:

maria [59]3 years ago
6 0

Answer:

$7

Step-by-step explanation:

You might be interested in
What is the value can u show work
Basile [38]
You would put 8 where x is and -10 where y is and then you will do -10 to the second power, which you will get 100 and so you will get 104. The answer is 
D) 104
6 0
3 years ago
One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a telephone switchboard. Analyst
grandymaker [24]

Answer:

(a) P (X = 0) = 0.0498.

(b) P (X > 5) = 0.084.

(c) P (X = 3) = 0.09.

(d) P (X ≤ 1) = 0.5578

Step-by-step explanation:

Let <em>X</em> = number of telephone calls.

The average number of calls per minute is, <em>λ</em> = 3.0.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.0.

The probability mass function of a Poisson distribution is:

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

(a)

Compute the probability of <em>X</em> = 0 as follows:

P(X=0)=\frac{e^{-3}3^{0}}{0!}=\frac{0.0498\times1}{1}=0.0498

Thus, the  probability that there will be no calls during a one-minute interval is 0.0498.

(b)

If the operator is unable to handle the calls in any given minute, then this implies that the operator receives more than 5 calls in a minute.

Compute the probability of <em>X</em> > 5  as follows:

P (X > 5) = 1 - P (X ≤ 5)

              =1-\sum\limits^{5}_{x=0} { \frac{e^{-3}3^{x}}{x!}} \,\\=1-(0.0498+0.1494+0.2240+0.2240+0.1680+0.1008)\\=1-0.9160\\=0.084

Thus, the probability that the operator will be unable to handle the calls in any one-minute period is 0.084.

(c)

The average number of calls in two minutes is, 2 × 3 = 6.

Compute the value of <em>X</em> = 3 as follows:

<em> </em>P(X=3)=\frac{e^{-6}6^{3}}{3!}=\frac{0.0025\times216}{6}=0.09<em />

Thus, the probability that exactly three calls will arrive in a two-minute interval is 0.09.

(d)

The average number of calls in 30 seconds is, 3 ÷ 2 = 1.5.

Compute the probability of <em>X</em> ≤ 1 as follows:

P (X ≤ 1 ) = P (X = 0) + P (X = 1)

             =\frac{e^{-1.5}1.5^{0}}{0!}+\frac{e^{-1.5}1.5^{1}}{1!}\\=0.2231+0.3347\\=0.5578

Thus, the probability that one or fewer calls will arrive in a 30-second interval is 0.5578.

5 0
3 years ago
Heidi has 6 pounds of tomatoes from her garden. She used 3/4 of all the tomatoes to make sauce and gave 2/3 of the rest of the t
iren2701 [21]

Answer:

She gives 16 ounces to her neighbor

Step-by-step explanation:

How much did you use to make sauce

6 * 3/4 = 18/4 =9/2 = 4.5  lbs

That leaves 6-4.5 = 1.5 lbs

She give 2/3 of this to her neighbor

1.5 * 2/3

Changing the decimal to a fraction

3/2 * 2/3 = 1

She gives 1  pound to her neighbor, but we want it in ounces

16 ounces equals 1 pound

She gives 16 ounces to her neighbor

6 0
3 years ago
Find the angle x in this triangle
Romashka-Z-Leto [24]

Answer:

x = 36

Step-by-step explanation:

<em>A triangle has 180°</em>.

That <em>third angle is 360 - 8x</em>.

So the equation is: <em>180 = 2x + x + 360 - 8x</em>.

Simplify: 180 = -5x + 360

Add/Subtract: 5x = 180

Divide: x = 36.

7 0
3 years ago
Inverse of f(x)=-5x+15
Otrada [13]

f(x) = -5x - 15


Let y = f(x)


y = -5x - 15


Switch the x and y places, and solve for y:


x = -5y - 15


-5y = x + 15


y = (x + 15)/-5


y = -(x/5) - 3


So the inverse of : f(x) = -5x - 15 is


-x/5 - 3

5 0
3 years ago
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