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Sphinxa [80]
4 years ago
15

HELP!!! Please I need work shown I have no clue how to do this and I need a good answer please and thank you

Mathematics
1 answer:
zheka24 [161]4 years ago
7 0
Factorize x²+7x+12 ===> (x+3)(x+4)

Factorize x²-3x-28 ===> (x-7)(x+4)

4x + 12 can be written====> 4(x+3)

Then the question could be written as follows:

 [(x+3)(x+4) / (x-7)(x+4) ] / 4(x+3) = [(x+3)(x+4) / (x-7)(x+4) ].[4(x+30]
After simplification you get 1 / 4(x-7)



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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
4 years ago
Two months ago perry has 554 rocks in his collection. He added 47 rocks to his collection last month and 39 to his collection th
Katarina [22]

Answer:

80 in each group

Step-by-step explanation:

554+47 = 601 (47 last month)

601+39 = 640 (39 this month)

640 / 8 = 80 (8 equal groups)

6 0
3 years ago
What is the relationship between the value of the digit 3 in 4,231 and in the value of the digit 3 in the number 3,421?
Marina CMI [18]

Answer:

A.

In 4231, the value of the digit 3 is 110 less than the value of the digit 3 in 3421.

Step-by-step explanation:

We can see that the value of 3 In 4231 is in ten while the value of 3 in 3421 is in thousands.

So to get the actual division factor, let's take 3300 and divide it by 30,

3300/30 = 110

So it's clear already, that the value of 3 in 4231 is 110 times less to the value in 3421

4 0
3 years ago
Lillian has nickels, dimes, and quarters in her coin purse. She has 3 fewer dimes than quarters, and 3 times as many nickels as
Reil [10]

Answer:

18 nickels, 6 dimes, and 9 quarters

Step-by-step explanation:

nickels dimes and quarters

x y and z

x+y+z=33

y+3=z

3y=x

3y+y+y+3=33

5y+3=33

5y=30

y=6

z=9

x=18

Hope this helps plz hit the crown :D

6 0
3 years ago
Solve for x 2x+3≥7 OR 2x+9>11
kykrilka [37]

Answer:

X is greater than or equal to 2 or X > 1

4 0
3 years ago
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