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algol13
2 years ago
12

Mr. Roper has eight teams of students in his debate class. Their grades on the last debate assignment are denoted by the set (99

, 72,
86, 80, 96, 87, 79, 87). Which 5-number summary represents the data set?
{72, 79, 86, 96, 99}
{72, 79.5, 86.5, 91.5, 99}
{72, 79, 83, 87, 96)
{72, 79, 86, 87, 96}
Mathematics
1 answer:
muminat2 years ago
4 0

Answer:

l think 3rd option must be answer

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Julia is five years older than her sister Babs, and their ages add up to 31. How old is Babs?
Tresset [83]
<span>Julia is X+5

</span><span>x+x+5=31
</span>
Now we just solve the equation 

2x=31-5
x=26/2
x=13 years old (Babs' age)

and we know that julia is 5 years older this gives us the conclusion that. 

13+18=31
4 0
3 years ago
Read 2 more answers
I need the answer pls
Pie

Answer:

2

Step-by-step explanation:

Subtract-4 from 6

6 0
2 years ago
If AC = 8x - 14 and EC = 2x + 11, solve for x.
Elan Coil [88]

Answer:

Step-by-step explanation:

8x-14=2x+11

-8 -8

-14=-6x+11

-11

-25=-6x

/-6

x=4.16

5 0
1 year ago
The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E
nexus9112 [7]

Answer:

The projected enrollment is \lim_{t \to \infty} E(t)=10,000

Step-by-step explanation:

Consider the provided projected rate.

E'(t) = 12000(t + 9)^{\frac{-3}{2}}

Integrate the above function.

E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt

E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c

2000=-\frac{24000}{3}+c

2000=-8000+c

c=10,000

Therefore, E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

Now we need to find \lim_{t \to \infty} E(t)

\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

\lim_{t \to \infty} E(t)=10,000

Hence, the projected enrollment is \lim_{t \to \infty} E(t)=10,000

8 0
2 years ago
a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0
2 years ago
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