In a sixth grade class at Lincoln Middle School, there are 3 boys for every 4 girls in the class.

Which arrangement shows 318 , 3.7, 334 , and 3.89 in order from least to greatest?

Stolb23 [73]

Answer: OPTION D.

Step-by-step explanation:

<h3> The complete exercise is: "Which arrangement shows $3\frac{1}{8}$ , 3.7, $3\frac{3}{4}$ , and 3.89 in order from least to greatest?"</h3><h3> </h3>

Convert from mixed numbers to decimal numbers.

The steps to do this, are the following:

1. You must divide the numerator of the fraction by the denominator.

2. Then you must add the quotient obtained to the whole number part.

Applying this procedure, you get that:

$3\frac{1}{8}=3+0.125=3.125$

$3\frac{3}{4}=3+0.75=3.75$

Now that you have all the numbers in decimal form, you can order from least to greatest:

$3.125,\ 3.7,\ 3.75,\ 3,89$

Therefore, you can conclude that the correct arrangement is:

$3\frac{1}{8},\ 3.7,\ 3\frac{3}{4},\ 3,89$

3 0

3 years ago

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A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. (a) Describe the

Ivanshal [37]

Answer:

a) $\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

b) $z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

c) $z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

d) $z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

$\mu = 83, \sigma = 27$

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

Part b

We want this probability:

$P(\bar X>89)$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 89 we got:

$z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

Part c

$P(\bar X$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 75.65 we got:

$z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

Part d

We want this probability:

$P(79.4 < \bar X < 89.3)$

We find the z scores:

$z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

8 0

3 years ago

If you know the 7x8=56 how can you use the Commutative Property of Multiplication to find the product of 8x7?

boyakko [2]

Answer:

The communicative property for multiplication states that the order of the multiplicands and can be swapped and the resulting product stays the same.

So

A * B = B * A

So if

7*8=56

then the commutative property says

8*7=56 as well since you can swap the order of the terms on the left and not change the result.

This property is true for addition and multiplication. It does not hold for subtraction or division.

Hope that makes sense and helps. (:

5 0

2 years ago

25 POINTS!! PRE-ALGEBRA MATH! PLEASE HURRY! I WILL GIVE BRAINLIEST!

yan [13]

Answer: We are using a line regression tool to solve the parameters asked in the problem. We can use online tools or that of Excel. According to the tool, the best fit values are

Slope0.3848 ± 0.03956

Y-intercept0.6053 ± 0.6370

X-intercept-1.573

1/Slope2.598

Step-by-step explanation: Best fit lines make sure that the standard deviation at each point is minimum from the best fit line.

3 0

2 years ago

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Good stuff is giving away free pens to each of the first 200 people who came in the store today. In the first hour, they gave aw

stealth61 [152]

Answer:

150 pens

Step-by-step explanation:

1. 75% = 0.75

2. 200 * 0.75 = 150 pens

3 0

3 years ago

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