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Arlecino [84]
3 years ago
8

Heather has the following averages in her math class:

Mathematics
1 answer:
zmey [24]3 years ago
3 0

Answer:

94

Step-by-step explanation:

multiply the averages by their weighted percentage

x = final exam

88(.2) + 84(.2) + 92(.4) + x(.2) = 90

solve for x

x(.2) = 90 - 71.2 = 18.8

divide both sides by 0.2

x = 94

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Work out 25% of £18
konstantin123 [22]
It’s £4.5

Convert 25 to a decimal so 0.25

0.25 x 18 = 4.5
8 0
2 years ago
Read 2 more answers
Find each percent decrease of 80 to 64
Anastasy [175]
80-64=24
24 is 30% of 80 so a decrease of 30%
4 0
3 years ago
if we increased one side of a square by 5 units and decreased the other by 3 units the area of the resulting rectangle would be
zvonat [6]

Answer:

18 units

Step-by-step explanation:

So let's list out the sides.

for the first square let's just call them x

for the second square then they would be x+5 and x-3

So let's write out their areas we will cal the area of the first one z

x*x = z

(x+5)*(x-3) = z+21

since z = x^2 we can set up the second equation as a quadratic.

(x+5)*(x-3) = x^2 + 21

x^2 - 3x + 5x - 15 = x^2 + 21

But look, the x^2s cancel out

2x - 15 = 21

2x = 36

x = 18

Test it out and see if it fits the description, And if you don't understand anything just let me know so I can explain more.  

3 0
3 years ago
Solve for x, ab and bc
Savatey [412]

Answer:

x = 5

AB = 26

BC = 39

Step-by-step explanation:

A___B___C

AC = AB + BC

65 = (5x+1) + ( 7x+4 )

65 = 12x + 5

12x = 65-5

12x = 60

x = 60/12

x = 5

AB = 5x +1 = 5(5) +1 = 25 +1 = 26

BC = 7x+4=7(5) + 4 = 35 +4 = 39

I hope I helped you^_^

7 0
2 years ago
Doug is going to ride his bicycle 3{,}0003,0003, comma, 000 miles across the United States, from coast to coast. He wants to cho
Anuta_ua [19.1K]

The chances of success in cycling across the United States is higher on the central route because more than half of the people who started on this route finished it (52%), while on the other routes the chances of successful completion is lower (route north (0%) south (0.02%).

<h3>What is probability? </h3>

Probability is a way of measuring the certainty that an event will occur represented by a numerical value from 0 to 1, where an impossible event corresponds to zero and a certain event corresponds to one.

According to the above, to find the probability of success in crossing the United States from coast to coast, we must divide the number of successful attempts by the total number of attempts as shown below:

North Route

  • 0 ÷ 2 = 0

Center Route

  • 10 ÷ 19 = 0.52

South Route

  • 1 ÷ 39 = 0.025

According to the above, the highest probability of success is found in the central route with 0.52, that is to say that more than half of those who tried this route finished.

Note: This question is incomplete because there is missing information. Here is the complete information:

Doug is going to ride his bicycle 3,000 miles across the United States, from coast to coast. He wants to choose the route that will give him the greatest chance of success. Here's what he finds in his research on him:

There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2,000 miles and quit in Montana.

There have been 19 attempts on the central route from Vir-ginia to California; 9 of those riders didn't do it and the other 10 made it all the way to the Pacific.

There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1,300 and 1,700 miles.

 

Learn more about probabilities in: brainly.com/question/8069952

5 0
2 years ago
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