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Arada [10]
3 years ago
12

The length of a planet's orbit around a star is approximately 29,870,000 km.

Mathematics
1 answer:
Sliva [168]3 years ago
5 0

Answer:

745 k/hr

Step-by-step explanation:

mathematically, 1 day = 24 hours

1670 days = 1670 * 24 = 40,080 hours

The speed is thus;

(29,870,000)/40,080 = 745.259

= 745 km/h

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Two parallel lines are crossed by a traversal. What is the value of h?
maxonik [38]

Answer:

h=60

Step-by-step explanation:

The angle that is 120 degrees and the angle that is h degrees are called same side interior angles

Same side interior angles are supplementary, meaning that they add to 180 degrees

To find h we can use Measures addition postulate to find the unknown value h

h+120=180

h=60

8 0
3 years ago
Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont
solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that \mu = 36, \sigma = 2

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

Z = \frac{X - \mu}{\sigma}

-2.054 = \frac{X - 36}{2}

X - 36 = -2.054*2

X = 31.89

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0
3 years ago
You have found the following ages (in years) of all 4 zebras at your local zoo: 14, 15, 9, 1 What is the average age of the zebr
joja [24]

Answer:

9.75 Average age

Step-by-step explanation:

3 0
3 years ago
−3x^ 2 +6x+9=<br> factor
GrogVix [38]

Answer:

the answer in factor form would be

-3(

7 0
3 years ago
Write an equation in standard form for a line that passes through (4,1) &amp; (5,7)
tatuchka [14]
Y = mx + b

First equation 1 = m(4) + b, bring everything to one side m(4) + b - 1 = 0
Second equation 7 = m(5) + b, bring everything to one side m(5) + b - 7 = 0

Set them equal to each other, 

m(4) + b - 1 = m(5) + b - 7

If you bring the b over to the left hand side it becomes

m(4) + b - b - 1 = m(5) - 7

m(4) - 1 = m(5) - 7

Solve for m

6 = m

Plug m = 6 into either equation from the beginning,

m(4) + b - 1 = 0

6(4) + b - 1 = 0

24 + b - 1 = 0

b = -23

Knowing m and b we can now make an equation

y = mx + b

y = 6x -23 Final answer



3 0
3 years ago
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