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3 years ago

1. Find the volume of a rectangular block 15 cm long, 5 cm wide and 10 cm length

Mathematics

1 answer:

xxMikexx [17]3 years ago

7 0

9514 1404 393

Answer:

750 cm³

Step-by-step explanation:

The volume is given by the formula ...

V = LWH . . . . where L, W, H represent length, width, height

The volume is the product of the dimensions.

V = (15 cm)(5 cm)(10 cm) = 750 cm³

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Question Help Scores of an IQ test have a bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use

3241004551 [841]

Answer:

a) 95% percentage of people has an IQ score between 80 and 120.

b) 68% percentage of people has an IQ score between 90 and 110.

c) 2.5% percentage of people has an IQ score greater than 120.

Step-by-step explanation:

The empirical formula states that:

The empirical rule is known as the three-sigma rule or 68-95-99.7 rule.
It is a rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
68% of data falls within the first standard deviation that is $\mu \pm \sigma$

95% of data falls within the second standard deviation that is $\mu \pm 2\sigma$

99.7% of data falls within the third standard deviation that is $\mu \pm 3\sigma$

a) percentage of people has an IQ score between 80 and 120

(80, 120) can be written as:

$(80, 120) = (100-2(10), 100 + 2(10))\\= (\mu \pm 2\sigma)$

Thus, it is the interval within two standard deviation from the mean.

Thus, by empirical formula, 95% percentage of people has an IQ score between 80 and 120.

b) percentage of people has an IQ score between 90 and 110

(90, 110) can be written as:

$(90, 110) = (100-1(10), 100 + 1(10))\\= (\mu \pm 1\sigma)$

Thus, it is the interval within one standard deviation from the mean.

Thus, by empirical formula, 68% percentage of people has an IQ score between 90 and 110.

c) P(score greater than 120)

= 1 - percentage of score less than 80 - percentage of score between 80 and 120

$= 1 - (95\% + 2.5\%) = 2.5\%$

From empirical formula,

2.5% percentage of people has an IQ score greater than 120.

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3 years ago

2 months ago, Blake used his credit card for a transaction of 400 dollars. The bank charges a rate of interest of

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$206.27 per month is needed to payoff the balance in 2 months. Total interest is $12.54.

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Step-by-step explanation:

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#7:Write the expression in simplest radical form. V24x5y2

vazorg [7]

2x^2y√6x

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3 years ago

Question 1

xxTIMURxx [149]

Answer:

The teacher randomly divides the class into two groups. One of the groups receives computer-based instruction and the other group receives traditional instruction without computers. After instruction, each student takes a test and the teacher wants to compare the test scores of the two groups.

Step-by-step explanation:

A two sample t-test is used to compared the means of two samples who were exposed to different scenarios and therefore, it helps us to see the difference between these two samples.

In this problem, the teacher is experimenting with a new computer-based instruction. To be able to use the two-sample t-test she would have to have two randomly assigned samples and expose each of these two samples to different scenarios (one would receive a traditional instruction and the other one would receive a computer instruction), and finally she would need to compare the scores in both samples.

Therefore, the correct answer would be b) The teacher randomly divides the class into two groups. One of the groups receives computer-based instruction and the other group receives traditional instruction without computers. After instruction, each student takes a test and the teacher wants to compare the test scores of the two groups.

*Option A is incorrect because the students are only exposed to the lesson using a computer program and therefore they aren't exposed to different scenarios.

*Option C is incorrect because although in this case the teacher uses both traditional and computer methods, there are not two different samples and she only gets the opinion of the students which is not an exact method of getting information on the effectiveness of the computer based method.

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3 years ago

1. Find the volume of a rectangular block 15 cm long, 5 cm wide and 10 cm length​

1. Find the volume of a rectangular block 15 cm long, 5 cm wide and 10 cm length