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gregori [183]
3 years ago
5

The unit 10 m is equivalent to A. 100 mm. B. 100 cm. C. 1 hm. D. 1 dam.

Mathematics
2 answers:
HACTEHA [7]3 years ago
8 0

Answer:

The answer is D

Step-by-step explanation:

You can use the prefix of each unit to solve the answer

cm-> centimeter means one-hundredth of a meter so is equal to 0.01 m

mm->millimeter means one-thousandth of a meter so is equal to 0.001m

hm-> hectometer means one hundred meters so is equal to 100 m

dam->decameter means ten meters so is equal to 10 m.

So, 10 m=1dam

bekas [8.4K]3 years ago
5 0
1m=100cm=1000mm=1/100hm=1/10dam
10m=1000cm=10000mm=1/10hm=1dam


answer is D
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Find the midpoint of the segment with the following endpoints (4,6) and (1,3)
mrs_skeptik [129]

Answer:

The midpoint is (2.5,4.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(4+1)/2 = 5/2 = 2.5

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(6+3)/2 = 9/2 = 4.5

The midpoint is (2.5,4.5)

3 0
3 years ago
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ML1=<br> 100<br> 120°<br> 100<br> How to find the measurement
tigry1 [53]

Answer:

∠ 1 = 50°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the 4 angles of the polygon and equate to 540°

let the unknown interior angle be x

x + 100° + 120° + 100° + 90° = 540° , that is

x + 410° = 130°

∠ 1 and x are adjacent angles on a straight line and sum to 180° , so

∠ 1 = 180° - 130° = 50°

3 0
2 years ago
40% of the tickets sold at a school carnival were early-admission tickets. If the school sold 65 tickets in all, how many early-
kupik [55]

Answer:

39

Step-by-step explanation:

0.40 x 65 = 26

65 - 26 = 39

The school sold 39 early-admission tickets.

7 0
3 years ago
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The average price of a gallon of gasoline in Missouri was $2.77 (as of 10-25-10 according to the AAA Daily Fuel Gauge Report). S
yKpoI14uk [10]

Answer:

A. 0.9756

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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

In a set with mean \mu and standard deviation(which is the square root of the variance) \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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 2.77, \sigma = \sqrt{0.32} = 0.5657, n = 72, s = \frac{0.5657}{\sqrt{72}} = 0.0667

What is the probability that a sample of 72 gas stations taken that same week will have a sample mean within $0.15 of the population mean?

This is the pvalue of Z when X = 2.77 + 0.15 = 2.92 subtracted by the pvalue of Z when X = 2.77 - 0.15 = 2.62. So

X = 2.92

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

By the Central Limit Theorem

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

Z = \frac{2.92 - 2.77}{0.0667}

Z = 2.25

Z = 2.25 has a pvalue of 0.9878

X = 2.62

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

Z = \frac{2.62 - 2.77}{0.0667}

Z = -2.25

Z = -2.25 has a pvalue of 0.0122

0.9878 - 0.0122 = 0.9756

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How to increase 1200 by 2%
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