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3 years ago

7

Roger ran eight laps around a 1/4 mile track during PE on Monday. How many feet did roger run in completing eight laps? (Remembe

r there are 5280 feet in a mile)

1 answer:

dedylja [7]3 years ago

8 0

Answer:

10,560

Step-by-step explanation:

8 x 1/4 --> 8/1 x 1/4

= 8/4 or 2

5,280 x 2 = 10,560

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Mary deposit $ 7000 in a bank account that guarantees a simple interest rate of 8.5% per

aivan3 [116]

Answer:

"$2975" is the correct solution.

Step-by-step explanation:

Given:

Principle,

P = $7000

Time,

T = 5 years

Interest rate,

R = 8.5

Now,

The interest will be:

= $\frac{PTR}{100}$

= $\frac{7000\times 5\times 8.5}{100}$

= $\frac{297500}{100}$

= $2975$ ($)

6 0

3 years ago

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

<u>Answer-</u>

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

4 years ago

29. In the figure below, linee is the graph of which of

OLEGan [10]

Answer:

A)2y=x+2

Step-by-step explanation:

7 0

3 years ago

Select the expressions that are equivalent to 8(6m).

Bas_tet [7]

$\textsf{Hey there!}$

$\text{Select the expressions that are equicalent to 8(6m)}\downarrow$

$\text{We DON'T have any like terms so we CAN'T pair them off!}$

$\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark$

$\textsf{Good luck on your assignment and enjoy your day!}$

~ $\dfrac{\frak{LoveYourselfFirst}}{:)}$

4 0

3 years ago

NEED HELP ASAP!! WILL MARK BRAINLIEST IF YOU ANSWER RIGHT!!

Tcecarenko [31]

Answer: A = 2, -3 B= 4, -8 C=8, -6

Step-by-step explanation:

The rule for a reflection over the x -axis is (x,y)→(x,−y) .

8 0

3 years ago

Read 2 more answers