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STatiana [176]
3 years ago
15

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on th

e final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 21.5%, and the final exam is worth 34%. Compute the weighted average for the following scores: 67 on the lab, 69 on the first major test, 85 on the second major test, and 63 on the final exam.
Mathematics
1 answer:
Serggg [28]3 years ago
8 0

Answer:

The weighted average is of 69.94.

Step-by-step explanation:

Weighted average:

The weighed average is found multiplying each grade by its respective weight.

The grades, and weights are:

67 on the lab, with a weight of 23% = 0.23

69 on the first major test, with a weight is 21.5% = 0.215

85 on the second major test, with a weight is 21.5% = 0.215.

63 on the final exam, with a weight of 34% = 0.34.

Weighted average:

A = 0.23*67 + 0.215*69 + 0.215*85 + 0.34*63 = 69.94

The weighted average is of 69.94.

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Dogs are inbred for such desirable characteristics as blue eye color; but an unfortunate by-product of such inbreeding can be th
Savatey [412]

Answer:

0.1302 or 13.02%

Step-by-step explanation:

So we know that 31% of the Dalmatians are blue eyed so that is 0.31. We also know that 42% of blue eyed Dalmatians are deaf so that is 0.42.

To find the probability of a blue eyed deaf Dalmatian we need 42% of 31%, so we need to do:

0.42 × 0.31 = 0.1302 or 13.02%

6 0
4 years ago
A ship is 1.4° off course. If the ship is traveling at 14.0 miles per hour, how far off course will it be after 2 hours?
sesenic [268]

Answer:

  about 0.7 miles

Step-by-step explanation:

When you draw a diagram of the problem, you see that the shortest distance back to the course is the distance traveled times the sine of the angle:

  distance off course = (14 mi/h)×(2 h)×sin(1.4°) ≈ 0.684 mi

The ship is about 0.7 miles from its intended course.

6 0
4 years ago
144% of what is 99 ?
Ahat [919]
After guessing and checking, the answer is around 68.8. You can use this problem to find the answer in much more reliable ways as well.
8 0
3 years ago
Read 2 more answers
Find the missing number. 4/5 = ?/45
Bogdan [553]
4/5 = ?/45

5 times 9 = 45.
What we do to the denominator must be done to the top, as well. 4 times 9 = 36.

So, the missing number is 36.
3 0
2 years ago
Solve for x and y 1/(x+yi) + 2/(x-yi) = 1+i
aliina [53]

Answer:

Step-by-step explanation:

x+i*y≠0 ==> x≠0 and y≠0

x-i*y≠0 ==> x≠0 and y≠0

We must exclude (0,0) as solution.

\dfrac{1}{x+i*y} +\dfrac{2}{x-i*y} =1+i\\\\\dfrac{1*(x-i*y)}{(x+i*y)(x-i*y)} +\dfrac{2*(x+i*y)}{(x-i*y)(x+i*y)} =1+i\\\\\\\dfrac{x-i*y+2x+2i*y}{x^2+y^2} =1+i\\\\3x+i*y=(1+i)(x^2+y^2)\\\\3x+i*y=(x^2+y^2)+i(x^2+y^2+i*(x^2+y^2)\\\\\left\{\begin{array}{ccc}3x&=&x^2+y^2\\y&=&x^2+y^2\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&3x\\3x&=&x^2+9x^2\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&3x\\x(10x-3)&=&0\\\end {array}\right.\\\\

\left\{\begin{array}{ccc}x&=&0\\y&=&0\\\end {array}\right.\ (to\ exclude) \ or \ \left\{\begin{array}{ccc}x&=&\dfrac{3}{10}\\\\y&=&\dfrac{9}{10}\\\end {array}\right.\\\\Sol=\{(\dfrac{3}{10},\dfrac{9}{10})\}\\

4 0
3 years ago
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