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Lubov Fominskaja [6]
2 years ago
6

A lemur weighs 4.2 kilograms. How many grams does the lemur weigh? Use the number of zeros of the product when multiplying a num

ber by a power of 10 to help you.
42 grams
42,000 grams
420 grams
4,200 grams
Mathematics
1 answer:
Vaselesa [24]2 years ago
5 0
4.2 kilograms to grams is 4,200
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Effectus [21]

Answer:

Mean = \frac{367}{7} = 52. 42

Step-by-step explanation:

Mean = \frac{23 + 48 + 49+ 55+ 57+63+72}{7} = \frac{367}{7}

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2 years ago
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4x-7x=13 in a fraction
Naddika [18.5K]
4x-7x= 13
⇒ -3x= 13
⇒ x= 13/(-3)
⇒ x= -13/3

The final answer is x= -13/3~
4 0
3 years ago
A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 14

Variance is 9.

The standard deviation is the square root of the variance.

So

\sigma = \sqrt{9} = 3

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

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

Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0
3 years ago
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Molodets [167]

Answer:

x = (125,0)    y = (0,275)

Step-by-step explanation:

I think this is right, good luck!

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2 years ago
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10 POINTS! Answer ASAP
Arte-miy333 [17]

Answer:

angle ABD measures 25º

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3 years ago
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