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shepuryov [24]
3 years ago
6

HELP PLS HELP IT EASY IT WORTH 30 POINTS

Mathematics
1 answer:
Katena32 [7]3 years ago
5 0

Answer:

Radius = 2 yd

Diameter = 4 yd

Step-by-step explanation:

circumference = 2\pir (where r is the radius)

if circumference = 4\pi, then

  4\pi = 2\pir

⇒  4 = 2r

⇒  2 = r

⇒ radius = 2 yd

diameter = 2r

               = 2 x 2

               = 4 yd

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John received $9,000 in student loans. Part of the money he was able to borrow at 7% simple interest, but on the rest of the mon
lidiya [134]
He borrowed "a" at 7% and "b" at 8.25%

now, whatever "a" and "b" are, we know, his student loan was 9000, thus
a+b = 9000

now, he owes 7% or 7/100 for "a", what's 7% of a? well, 7/100 * a or 0.07a

he owes 8.25% of "b", how much is 8.25% of b? well, 8.25/100 * b or 0.0825b

now, we know, at the end of the year, he owed for both loans, 706.25 in interest
thus we know that 0.07a + 0.0825b = 706.25

thus   \bf \begin{cases}
a+b=9000\implies \boxed{b}=9000-a\\
0.07a+0.0825b=706.25\\
----------\\
0.07a+0.0825\left(\boxed{9000-a}  \right)=706.25
\end{cases}

solve for "a", to see how much he borrowed at 7%

what about "b"? well, b = 9000-a
6 0
4 years ago
A manufacturing process produces integrated circuit chips. Over the long run the fraction of bad chips produced by the process i
Vitek1552 [10]

Answer:

0.0244 (2.44%)

Step-by-step explanation:

defining the event T= the chips passes the tests , then

P(T)= probability that the chip is not defective * probability that it passes the test given that is not defective  + probability that the chip is defective * probability that it passes the test given that is defective = 0.80 * 1 + 0.20 * 0.10 = 0.82

for conditional probability we can use the theorem of Bayes. If we define the event D=the chip was defective , then

P(D/T)=P(D∩T)/P(T) = 0.20 * 0.10/0.82=  0.0244 (2.44%)

where

P(D∩T)=probability that the chip is defective and passes the test

P(D/T)=probability that the chip is defective given that it passes the test

5 0
3 years ago
Sam and Bryan meet at the gym. Sam travels 6 miles farther to the gym than Bryan. Three times the distance Bryan travels is 12
Digiron [165]

Answer:

x+6=y and 3x=12

Step-by-step explanation:

Let x be the distance traveled by Bryan and let y be the distance traveled by Sam then the first equation would be:

x+6=y (x plus 6 is equal to y, Bryan's distance plus 6 is equal to Sam's distance) and the second one is:

3x=12 (3 times x is 12, 3 times the distance travelled by Bryan is 12)

So our statements/equations are:

x+6=y and

3x=12 (we dont write this as x=4 as it asks us to give the statements we got from the information given, we only start simplifying once it tells us to solve)

4 0
3 years ago
You’re walking down the hall and you overhear someone talking about you behind your back. What would you do and why?
Alina [70]

Answer: Go up and confront them because i hate when people do that!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Evaluate W - X if w = 18 and x = 6.<br> Giving BRIANLIEST
xenn [34]

Answer:

12

Step-by-step explanation:

18 -6

12

Hope that this helps you and have a great day :)

5 0
3 years ago
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