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Alexus [3.1K]
3 years ago
12

Solve: The quantity 3 x minus 15 divided by 2 = 4x

Mathematics
2 answers:
Trava [24]3 years ago
5 0
X = -3
i hope this helps

BlackZzzverrR [31]3 years ago
3 0

I do believe that the variable X does equal -3. So x = -3

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An educational psychologist wishes to know the mean number of words a third grader can read per minute.
Rama09 [41]

Answer: 208.

Step-by-step explanation:

The formula to find the minimum sample size is given by :-

n= (\dfrac{z^*\times \sigma}{E})^2                                    (1)

, where z* = critical z-value (two tailed).                                                                      

\sigma = Standard deviation ( from prior study ) and E = Margin of error.

As per given , we have

Margin of error : E= 0.29

Confidence level = 85%

Significance level =\alpha=1-0.85=0.15

Using z-table , the critical value (two -tailed)=z^*=z_{\alpha/2}=z_{0.15/2}=z_{0.075}=1.439

As per previous study , Variance =\sigma^2=8.41

\sigma=\sqrt{8.41}=2.9

Now, the required minimum sample size = n= (\dfrac{(1.439)\times (2.9)}{0.29})^2   [Substitute the values in formula (1)]

n=(14.39)^2

n=207.0721\approx208  [ Round to the next integer]

Hence, the minimum number of third graders that must be included in a sample = 208.

5 0
3 years ago
A company rents out 13 food booths and 27 game booths at the county fair. The fee for a food booth
horsena [70]

Answer:

50+(7d*13)+80+(9d*27)

Step-by-step explanation:

So, there are 13 food booths and each food booth is $50 plus $7 per day.

There are 27 game booths and each game booth is $80 plus $9 per day.

Lets make a short equation for each of the booths.

50+(7d*13)

80+(9d*27)

Lets combine both of the sentences.

50+(7d*13)+80+(9d*27)

So, my expression would be 50+(7d*13)+80+(9d*27).

8 0
2 years ago
Given the points J(4,-7) and L(-2,13), find the coordinates of point k on JL such that the ratio of jk is 1:4
Irina-Kira [14]

Answer:

The coordinates of point k are (-2.8,-3)

Step-by-step explanation:

we shall use the internal division formula to find the coordinates of point k

Mathematically, the formula is as follows;

Let’s call the coordinates of point k (x,y)

(x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)

From the question;

m = 1 , n = 4

x1 = 4, x2= -2

y1 = -7 , y2 = 13

Substituting these values in the equation, we have the following;

1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)

(-2+16)/5, (13 -28)/5

= -14/5, -15/5

= (-2.8, -3)

3 0
3 years ago
To print tickets, a printer chargers a $70 setup fee plus $1.25 per ticket. (a) Write an algebraic expression for the cost of t
ioda
A. 70+1.25t
b. Plug in 650 for t
70+1.25(650)
70+812.5
882.5

Final answer: $882.50
8 0
3 years ago
Round 34,571 to the place value of the underlined digit. underlined digit is 5
marusya05 [52]
34,600.

7 is higher than 4, so it rounds up.
6 0
2 years ago
Read 2 more answers
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