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Anastaziya [24]
4 years ago
11

A Student bought concert tickets online. The total cost, c, in dollars of t tickets can be found by using the function c=24.50t

+9.50. If the student spent a total of $83 on tickets, how many tickets did they buy? *
Mathematics
1 answer:
Ira Lisetskai [31]4 years ago
7 0

Answer:

Your answer is: t = 3

83 = 24.5t

73.5 = 24.5t

t = 3

t = tickets

b = 2

m = -2/5

Step-by-step explanation:

Hope this helped : )

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What is the y-intercept of y = -2x+6y=−2x+6?
goblinko [34]

Answer:

6

Step-by-step explanation:

Given: y=-2x+6

Since the equation is written in slope-intercept form, it is extremely easy to find the y-intercept. Slope-intercept form is written as:

y=mx+b

Whereas:

y: range

m: slope

x: domain

b: y-intercept

With that in mind, we can immediately tell that 6 is the y-intercept.

6 0
3 years ago
Read 2 more answers
If the number of defects found is more than one standard deviation above the mean, the manufacturing facility needs to recalibra
Sliva [168]

Answer:

16% probability that the facility needs to recalibrate their machines.

Step-by-step explanation:

We have to use the Empirical Rule to solve this problem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

What is the probability that the facility needs to recalibrate their machines?

They will have to recalibrate if the number of defects is more than one standard deviation above the mean.

We know that by the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% is more than 1 standard deviation from the mean. Since the normal distribution is symmetric, of those 32%, 16% are more than one standard deviation below the mean, and 16% are more than one standard deviation above the mean.

So there is a 16% probability that the facility needs to recalibrate their machines.

7 0
4 years ago
An ideal gas is confined within a closed cylinder at a pressure of 2.026 × 105 Pa by a piston. The piston moves until the volume
Elis [28]

Answer:

The final pressure of the gas when its temperature returns to its initial value 1.8234\times 10^6 Pa.

Step-by-step explanation:

Given : An ideal gas is confined within a closed cylinder at a pressure of 2.026\times 10^5 Pa by a piston. The piston moves until the volume of the gas is reduced to one-ninth of the initial volume.

To find : What is the final pressure of the gas when its temperature returns to its initial value?

Solution :

Since the temperature is constant .

The relation between P and V is given by,

P_1\times V_1 = P_2\times V_2

\frac{P_1}{P_2}=\frac{V_2}{V_1} ....(1)

The piston moves until the volume of the gas is reduced to one-ninth of the initial volume i.e. V_2=\frac{V_1}{9}

or \frac{V_2}{V_1}=\frac{1}{9}

P_1=2.026\times 10^5

Substitute in equation (1),

\frac{2.026\times 10^5}{P_2}=\frac{1}{9}

P_2=9\times 2.026\times 10^5

P_2=18.234\times 10^5

P_2=1.8234\times 10^6

The final pressure of the gas when its temperature returns to its initial value 1.8234\times 10^6 Pa.

5 0
3 years ago
Question 1 options:
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The answer to this problem “12 = 15(z-1/5) is : Z = 1
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