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Gelneren [198K]
3 years ago
8

Which logorithmic equation is equivalent to the exponential equation below? e^a=60

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

a = ln(60)

Step-by-step explanation:

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You make $220 by shoveling snow.
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The quadratic regression equation that models these data is y = –0.34x2 + 4.43x + 3.46. Using the quadratic regression equation,
arsen [322]

Answer:

13.76

Step-by-step explanation:

We want year 10; this means we substitute 10 in place of x:

y=-0.34(10²)+4.43(10)+3.46

y = -0.34(100)+4.43(10)+3.46

y = -34+44.3+3.46 = 13.76

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A ball is thrown upward off of a 100 meter cliff with an initial velocity of
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5 0
3 years ago
Need help
aleksandr82 [10.1K]

Using the normal distribution, the probabilities are given as follows:

a. 0.4602 = 46.02%.

b. 0.281 = 28.1%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

The parameters are given as follows:

\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24

Item a:

The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:

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

Z = \frac{984 - 959}{263}

Z = 0.1

Z = 0.1 has a p-value of 0.5398.

1 - 0.5398 = 0.4602.

Item b:

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

By the Central Limit Theorem:

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

Z = \frac{984 - 959}{43.24}

Z = 0.58

Z = 0.58 has a p-value of 0.7190.

1 - 0.719 = 0.281.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
2 years ago
Find the distance between (-6, -12) and (4,8) using the distance formula.
Romashka [77]

Answer:

The distance formula is 22.360679775

if you round it to the nearest tenth, then the answer is 22.4

Step-by-step explanation:

(-6, -12) and (4,8)

<u>(x2 - x1)² + (y2 - y1)²</u>

Place the x and y values

(4 - - 6)² + (8 - - 12)²

= 10² + 20²

= 100 + 400 = 500

√500 = 22.360679775

Round it to the nearest tenth, and you will get 22.4

Hope this helps!

Please mark me as the brainliest

6 0
1 year ago
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