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MaRussiya [10]
3 years ago
12

The popping-times of the kernels in a certain brand of microwave popcorn are normally distributed with a mean of 150 seconds and

a standard deviation of 11 seconds.
The first kernel pops 126 seconds after the microwave oven is started. What is the z-score of this kernel?

Also what in the world is a z-score?
Mathematics
2 answers:
RSB [31]3 years ago
6 0
The z-score of the data can be calculated by the formula expressed as follows:

z = ( score - mean ) / standard deviation
z = (126 - 150 ) / 11 = <span>-2.18
</span>
A z-Score<span> is a statistical </span>measurement<span> of a </span>score's<span> relationship to the mean in a group of </span>scores<span>. A </span>Z-score<span> of 0 means the </span>score<span> is the same as the mean.</span><span>

</span>
Anit [1.1K]3 years ago
4 0

Answer:

the right answer is  -2.18

Step-by-step explanation:

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At the local gas station gasoline costs $2.75 for per gallon and diesel costs $3.02 per gallon. Gabriel needs to purchase 15.2 g
Ainat [17]

Answer:

The total amount paid by Gabriel at the local gas station is $70.49.

Step-by-step explanation:

Cost of gasoline per gallon = $2.75

Cost of diesel per gallon = $3.02

Amount of gasoline Gabriel needs = 15.2 gallons

Amount of diesel Gabriel needs = 9.5 gallons

Compute the total amount paid by Gabriel at the local gas station as follows:

Total Cost = Cost of gasoline × Amount of gasoline

                           + Cost of diesel × Amount of diesel

                =(2.75\times 15.2)+(3.02\times 9.5)\\\\=41.8+28.69\\\\=70.49

Thus, the total amount paid by Gabriel at the local gas station is $70.49.

7 0
3 years ago
HELP!!
leonid [27]

Answer:

The focus point is (2 , 0) ⇒ answer D

Step-by-step explanation:

* Lets revise the equation of the parabola in standard form

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h, k + p)

- The directrix is y = k - p

- If the parabola is rotated so that its vertex is (h , k) and its axis of

 symmetry is parallel to the x-axis, it has an equation of

 (y - k)² = 4p(x - h)

- The focus is (h + p, k)

- The directrix is x = h - p

* Lets solve the problem

∵ The equation of the parabola is y = 1/8(x² - 4x - 12)

- Lets make x² - 4x completing square

∵ √x² = x  

∴ The 1st term in the bracket is x

∵ 4x ÷ 2 = 2x

∴ The product of the 1st term and the 2nd term is 2x

∵ The 1st term is x

∴ the second term = 2x ÷ x = 2

∴ The bracket is (x - 2)²

∵  (x - 2)² = (x² - 4x + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out  

  the bracket to keep the equation as it

∴ (x² - 4x + 4) - 4 = (x - 2)² - 4

- Lets put the equation after making the completing square

∴ y = 1/8 [(x - 2)² - 4 - 12]

∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8

∴ 8y = (x - 2)² - 16 ⇒ add 16 to both sides

∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor

∴ 8(y + 2) = (x - 2)²

∴ The standard form of the equation of the parabola is

   (x - 2)² = 8(y + 2)

∵ The standard form of the equation is (x - h)² = 4p(y - k)

∴ h = 2 , k = -2 , 4p = 8

∵ The focus is (h , k + p)

∵ h = 2

∵ 4p = 8 ⇒ divide both sides by 4

∴ p = 2

∴ The focus = (2 , -2 + 2) = (2 , 0)

* The focus point is (2 , 0)

6 0
3 years ago
1) Identify the slope of the given line
adell [148]

ok so here we go:

1) (-6,-2.5),(-4,-3)\ m= -0.25 or  -\frac{1}{4}

2 )y=-0.25x-4 so the answer is (0, -4) or -4

3) y=\frac{3}{2}x+1 m=\frac{3}{2}

4) y=[tex]\frac{3}{2}x+1[tex] so the answer is (0, 1) or 1

8 0
3 years ago
Read 2 more answers
Find the measure of the are or central angle indicated. Assume that lines which appear to be
Alina [70]

9514 1404 393

Answer:

  ?° = 153°

Step-by-step explanation:

The measure of an arc is the same as the measure of the central angle it subtends. The arc is marked 153°. The central angle (?°) has that same measure.

  ?° = 153°

5 0
3 years ago
Help plzzzzzzzzzzzzzzzzz
Butoxors [25]

Answer:

6 % is the answer

Step-by-step explanation:

6.50 x 6%=0.39

6.50+0.39=6.89

4 0
3 years ago
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