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faltersainse [42]
2 years ago
7

-20x+33=-7 solve for x

Mathematics
1 answer:
Vikki [24]2 years ago
4 0

Answer:

x=2

Step-by-step explanation:

tell me if i need to explain to you

-20x + 33 = -7

       - 33     -33

-----------------------

-20x = -40

------   ------

-20       -20

-40 divided by -20 = 2

So x is 2

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2 years ago
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Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per bicycle is given by​ C(x)equa
Alenkinab [10]

Answer:

20 Bicycles

Step-by-step explanation:

The function for the average cost,C(x) [in hundred of dollars] per bicycle whenever x hundred bicycles are built is given as:

C(x)=0.5x^2-0.2x+6.756

The minimum value of C occurs at the axis of symmetry.

Axis of Symmetry, x=-\frac{b}{2a}

Comparing with the standard form of a quadratic equation ax^2+bx+c=0

a=0.5, b=-0.2

x=-\frac{(-0.2)}{2*0.5}\\x=0.2

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When Aki's Bicycle Designs produces 20 Bicycles, the cost is minimized.

5 0
3 years ago
Of all sixth graders, 70% sent a text message yesterday. Ten trials of a simulation are conducted and the data are recorded belo
Effectus [21]

Answer:

80%

Step-by-step explanation:

According to the given data, the numbers 0 through 6 represent students who sent a text yesterday while the numbers 7 through 9 represent students who did not send a text yesterday.

Based on this key, we will calculate the number of students who sent the text yesterday and the number of students who did not sent the text yesterday.

The given data is: 62072, 34570, 80983, 04292, 83150, 36330, 96268, 14077, 77985, 13511

For each group we will identify how many students sent the text and how many students did not. According to the key, a number from 0 to 6 will be counted as a student who sent the text and a number from 7 to 9 will be counted as a student who did not send the text. Students who did not sent the text are made bold in the groups below.

62072:  4 students sent the text, 1 did not

34570:  4 students sent the text, 1 did not

80983:  2 students sent the text, 3 did not

04292:  4 students sent the text, 1 did not

83150:   4 students sent the text, 1 did not

36330:  All 5 students sent the text

96268:  3 students sent the text, 2 did not

14077:   3 students sent the text, 2 did not

77985:  1 student sent the text, 4 did not

13511:    All 5 students sent the text

We need to find the probability that 3 or more of a group of 5 students randomly selected will send a text today.

From the given groups, the number of groups where 3 or more students sent a text = 8

This represents our number of favorable or desired outcomes.

Total number of possible outcomes is the total number of groups = 10

Since, probability is defined as the ratio of number of favorable outcomes to total number of outcomes, based on the simulated data  the probability that 3 or more of a group of 5 students randomly selected will send a text today will be = \frac{8}{10}=0.80=80\%

Thus, based on the simulated data there is 80% probability that 3 or more of a group of 5 students randomly selected will send a text today

5 0
3 years ago
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