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tresset_1 [31]
4 years ago
8

The average distance of the sun from Earth is about 1.5 x 108 kilometers.

Mathematics
1 answer:
Nataliya [291]4 years ago
7 0

Answer:

10⁵ billion

Step-by-step explanation:

given that distance from sun to earth

= 1.5 x 10⁸ km    (we need to convert this to millimeters)

= 1.5 x 10⁸ km x  1 million mm per km

= 1.5 x 10⁸ km x  1,000,000 mm/km

= 1.5 x 10⁸ km x  10⁶ mm/km

= 1.5 x 10⁸ x  10⁶

= 1.5 x 10⁽⁸ ⁺ ⁶⁾

= 1.5 x 10¹⁴ mm

also given that a quarter is 1.5mm thick, hence the number of quarters that will span the distance between the sun an earth (i.e 1.5 x 10¹⁴ mm)

= 1.5 x 10¹⁴ mm ÷ 1.5 mm/quarter

= 10¹⁴

= 100,000,000,000,000    (remember that a billion has 9 zeros)

= 100,000 billion

= 10⁵ billion

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Identify the​ vertex, the axis of​ symmetry, the maximum or minimum​ value, and the domain and range of the function for f(x)=(x-9)^2-29​

we have

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The vertex represent a minimum

The vertex of the parabola is the point (9,-29)

The domain is all real numbers

The range is the interval {-29, infinite)

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The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

In this problem

axis of symmetry is x=9

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1 year ago
The approximate volume in milliliters, y, for a volume of x fluid ounces is equal to 29.57 times the value of x. Which table rep
Angelina_Jolie [31]

The table which represents the relationship is:

Fluid ounces, x            Volume y ( in millimeters)

       1                                       29.57

       2                                      59.14

       3                                      88.71

       4                                     188.28

In mathematics, a relation describes how two distinct sets of information related to one another. If more than two non-empty sets are taken into consideration, a connection between their elements will indicate that more than two sets are being evaluated.

Let y be the volume of fluid x in millimeters.

Now, y is equal to 29.57 times the value of x.

Therefore,

y = 29.57 × x

y = 29.75x

So, when x = 1:

y = 29.75(1) = 29.57

When x = 2,

y = 29.57(2) = 59.14

When x = 3,

y = 29.57(3) = 88.71

When x = 4,

y = 29.57(4) = 118.28

Therefore, the table that represents the relationship is:

Fluid ounces, x            Volume y ( in millimeters)

       1                                       29.57

       2                                      59.14

       3                                      88.71

       4                                     188.28

Learn more about volume here:

brainly.com/question/463363

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At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. T
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Answer:

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Lower 5% will not get a passing grade (those below the 5% percentile)

For a normal distribution:

The z-score is given by:

z = (X - mean) / standard deviation

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From the z - table : 0.05 falls into - 1.645 which is equal to the z - score

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z = (x - m) / sd

-1.645 = (x - 73) / 10.6

-1 645 * 10.6 = x - 73

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-17.437 + 73 = x

55.563 = x

Therefore, the score which seperetes the lower 5% from the rest of the class is 55.563

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