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a_sh-v [17]
2 years ago
12

Suppose you have a data set that includes the values 20, 30, and 50. If you add a fourth value to this data set, and after doing

that the mean of the data set is 50, what was the value that you added? a. -10 c. 50 b. 40 d. 100 Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
8 0

Answer:

D. 100

Step-by-step explanation:

Mean = Sum of all numbers divided by the count of all numbers

Mean = 50

Let say that the sum of all numbers = X

50 = X / 4

200 = X

X = (20+30+50) + The 4th Value

200 = 100 + 4th Value

The 4th Value = 100

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Lucas invested money in two accounts: one paying 3% interest and the other paying 5% interest. He invested $100 more in the 5% a
Anni [7]
He invested "a" at 3% and "b" at 5%

now, he invested 100 more in "b", so, whatever "a" may be, b = a + 100

now, how much is the interest yield of each? well
how much is 3% of a? well, (3/100) * a, or 0.03a
and 5% of b? well (5/100) * b, or 0.05b

now, we know the total yield was 53 bucks, thus 0.03a + 0.05b = 53

thus    \bf \begin{cases}
\boxed{b}=a+100\\
0.03a+0.05b=53\\
----------\\
0.03a+0.05\left( \boxed{a+100} \right)=53
\end{cases}

solve for "a", to see how much was invested at 3%

what about "b"?  well, b = a + 100
3 0
3 years ago
On September 16, 2011, the New York Times reported that the American public's approval rating of Congress had sunk to an all-tim
777dan777 [17]

Answer:

The sample size is  n = 451

Step-by-step explanation:

From the question we are told that

   The margin of error is  E = 0.03

    The sample proportion is  \^ p = 0.12

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{1.96}{0.03} ]^2 *0.12 (1 - 0.12 )

=>   n = 451

3 0
3 years ago
Whats the perimiter of the following rectangle? The side says x - 2 and the bottom says 2x + 1​
irakobra [83]

Answer:

6x-2

Step-by-step explanation:

The perimeter of a rectangle is found by

P = 2(l+w)

  =2( x-2 + 2x+1)

Combine like terms

P = 2(3x-1)

Distribute

P = 6x-2

8 0
3 years ago
Select the correct solution set. 50 ≥ 15x
Leviafan [203]
50 > = 15x....divide both sides by 15
50/15 > = x
10/3 > = x or x < = 10/3

so the correct solution set is : { x | x < = 10/3}...its the 2nd one
6 0
4 years ago
Read 2 more answers
What would the graph y &lt; x2 + 4x look like?
DaniilM [7]
Hello there!

Well, we can use a graphing calculator for that.

y < x² + 4x

See the attachment below....

Let me know if you have more questions. As always, it is my pleasure to help students like you.

8 0
3 years ago
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