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Drupady [299]
3 years ago
8

Put the fracrions on a number line: 1/2 1/4 1/5 1/3

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

Answer: The number line is attached.

1. You have the following fractions given in the problem above:

\frac{1}{2},\frac{1}{4},\frac{1}{5},\frac{1}{3}

2. You can write them in decimal form by dividing the numerator and the denominator. Keeping this on mind, you have:

\frac{1}{2}=0.5

\frac{1}{4}=0.25

\frac{1}{5}=0.2

\frac{1}{3}=0.33

3. Now, you can put these positive numbers in the number line, as you can see in the figure attached.

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Which describes the correct procedure when converting a number from scientific notation to standard notation if the power of 10
jenyasd209 [6]

Answer:

A. Move the decimal point to the left

Step-by-step explanation:

Given that:

The scientific notation = 10⁻¹⁰

Let recall;

That the standard notation usually took the form of an inverse:

For example;

Let say 10⁻¹ will be \dfrac{1}{10} in scientific notation;

SO, \dfrac{1}{10} = 0.1

Now; we are given 10⁻¹⁰ as a scientific notation,

To standard notation, we get:

10^{-10} = \dfrac{1}{100}

= 0.01

Thus, it is true to say that the decimal point will be moved to the left side when converting a number from scientific notation to standard notation if the power of 10 is  -10.

4 0
3 years ago
State whether the number is a solution to the given inequality.
Andrej [43]

Answer:

no, it is not a solution to the given inequality

Step-by-step explanation:

4 0
3 years ago
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
Dafna1 [17]

Answer:

a) 0.0869 = 8.69% probability that the thickness is less than 3.0 mm

b) 0.0668 = 6.68% probability that the thickness is more than 7.0 mm

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 = 4.9, \sigma = 1.4

(a) the thickness is less than 3.0 mm

This is the pvalue of Z when X = 3.

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

Z = \frac{3 - 4.9}{1.4}

Z = -1.36

Z = -1.36 has a pvalue of 0.0869

0.0869 = 8.69% probability that the thickness is less than 3.0 mm

(b) the thickness is more than 7.0 mm

This is 1 subtracted by the pvalue of Z when X = 7. So

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

Z = \frac{7 - 4.9}{1.4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability that the thickness is more than 7.0 mm

5 0
3 years ago
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