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3 years ago

Explain why 6 divided by 10 = .6 Use sentences and models

Mathematics

2 answers:

Anvisha [2.4K]3 years ago

8 0

Because 6/10 = 0.6 or 60%

Setler [38]3 years ago

5 0

6 divided by 10 equals .6 because we are dividing a smaller number by a bigger number which results in a fraction. Also 6 divided by 10 is the same as 6/10 and we know that it is also 60/100 and because it is not a whole number because the 100 or 10 represents the whole number we add a decimal in front of the 60 becuase it shows how it is 60% or .6 part of 100 or a whole number.

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Ben jogged 4 and 1/2 miles in 1 and 1/4 hours at a constant rate. How far did Ben jog in one hour? *

Mrac [35]

let's firstly convert the mixed fractions to improper fractions and then proceed.

$\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill$

$\begin{array}{ccll} miles&hours\\ \cline{1-2} \frac{9}{2}&\frac{5}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{9}{2}~~}{x}=\cfrac{~~ \frac{5}{4}~~}{1}\implies \cfrac{~~ \frac{9}{2}~~}{\frac{x}{1}}=\cfrac{5}{4}\implies \cfrac{9}{2}\cdot \cfrac{1}{x}=\cfrac{5}{4} \\\\\\ \cfrac{9}{2x}=\cfrac{5}{4}\implies 36=10x\implies \cfrac{36}{10}=x\implies \cfrac{18}{5}=x\implies 3\frac{3}{5}=x$

7 0

2 years ago

Write an

agasfer [191]

Answer:

Step-by-step explanation:

y-(-2) = 1/2(x-12)

y+2 = 1/2x - 6

y = 1/2x -8

y = mx +b

4 0

3 years ago

The test scores on a 100-point test were recorded for 20 students:71 93 91 86 7573 86 82 76 5784 89 67 62 7277 68 65 75 84a. Can

Dafna11 [192]

Answer: a. Yes

b. mean = 76.65

standard deviation = 10.04

c. 76.65 ± 4.4

Step-by-step explanation:

a. Stem and leaf Plot shows the frequencies with which classes of value occur. To create this plot, we divide the set of numbers into 2 columns: stem, the left column, which contains the tens digits; leaf, the right column, which contains the unit digits.

Normal distribution is a type of distribution: it's a bell-shaped, symmetrical, unimodal distribution.

A stem and leaf plot displays the main features of the distribution. If turned on its side, we can see the shape of the data.

The figure below shows the stem and leaf plot of the 100-point test score. As we can see, when turned, the plot resembles bell-shaped distribution. So, this test scores were selected from a normal population.

b. Mean is the average number of a data set. It is calculated as the sum of all the data divided by the quantity the sample has:

mean = $\frac{\Sigma x}{n}$

For the 100-point test score:

mean = $\frac{71+93+91+...+65+75+84}{20}$

mean = 76.65

Standard Deviation determines how much the data is dispersed from the mean. It is calculated as:

$s=\sqrt{\frac{\Sigma (x-mean)^{2}}{n-1} }$

For the 100-point test score:

$s=\sqrt{\frac{[(71-76.65)+(93-76.65)+...+(84-76.65)]^{2}}{20-1} }$

s = 10.04

The mean and standard deviation of the scores are 76.65 and 10.04, respectively.

c. Confidence Interval is a range of values we are confident the real mean lies.

The calculations for the confidence interval is

mean ± $z\frac{s}{\sqrt{n} }$

where

z is the z-score for the 95% confidence interval, which is equal 1.96

Calculating interval

76.65 ± $1.96.\frac{10.04}{\sqrt{20} }$

76.65 ± 4.4

The 95% confidence interval for the average test score in the population of students is between 72.25 and 81.05.

7 0

3 years ago

The temperature in the morning was -3.The temperature dropped 11 degrees by night. What was the temperature at night ?

Pachacha [2.7K]

Answer:

The temperature was -14 degrees.

Step-by-step explanation:

The word "dropped" indicates that one has to subtract to the result. -3 - 11 is -14.

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3 years ago

I need info on Albert Einstein

Valentin [98]

Born on March 14, 1879 in Ulm, Württemberg, Germany, Albert Einstein grew up in a secular Jewish family. ... Einstein had one sister, Maja, born two years after him.Einstein attended elementary school at the Luitpold Gymnasium in Munich.

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3 years ago

Read 2 more answers