11. An astronaut travels 32 million miles to Mars, turns around and comes back the same way, ending up exactly where he started
1 answer:
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Complete Question
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 25% of your total grade, each major test is worth 22:5%, and the final exam is worth 30%. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exam. (Enter your answer to one decimal place)
Answer:
The weighted average is
Step-by-step explanation:
From the question we are told that
The worth of the lab score is 25% of total grade
The worth of each major test is 22.5% of total grade
The worth of final exam is 30% of total grade
The score on lab is 92
The score on first major test 81
The score on second major test 93
The score on final exam is 85
Generally the weighted score is mathematically represented as
=>
=>
<em>Complete Question:</em>
<em>Katya creates handmade sets of dolls, which is sold to craft and souvenir stores. The first set of dolls has a middle diameter of 7cm and a height of 12cm.</em>
<em>Katya made another set of dolls. In the new set, the largest doll has a diameter of 8.75 cm and a height of 15.6 cm. Is this a dilation of the first set of dolls? </em>
<em></em>
Answer:
The new set is not a dilation of the first set
Step-by-step explanation:
Given
First Set:
New Set:
Required
Determine if the new set is a dilation of the second
To do this, we pass through the following steps:
1. Divide the height of the first set by the new set
2. Divide the diameter of the first set by the new set
3. Result in (1) and (2) must be equal if the new set is a dilation of the first set
Following the steps above:
(1)
(2)
(3) Make comparison
The ratio in (1) does not equal the ratio in (2)
i.e.
<em>Hence, the new set is not a dilation of the first set</em>