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kirza4 [7]
3 years ago
10

3/4x+3-2x=-1/4+1/2x+5

Mathematics
1 answer:
Ann [662]3 years ago
5 0

Answer: x=-1

Step-by-step explanation:

  1. 3/4x+3-2x=-1/4+1/2x+5
  2. 3-5/4x=1/2x+19/4
  3. 7/4x=-7/4
  4. x=-1
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A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student
yan [13]

Answer:

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the difference between population means is:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

The information provided is as follows:

n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43

The critical value of <em>z</em> for 98% confidence level is,

z_{\alpha/2}=z_{0.02/2}=2.326

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

     =(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)

Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

5 0
3 years ago
#14 write the given sentence as an equation. Tim'S age in 7 years will be three times what it was 19 years ago
kobusy [5.1K]
The first thing we must do for this case is to define variables.
 We have then:
 x = Tim's age
 Now we write the equation:
 x + 7 = 3 (x-19)
 Answer:
 
Tim's age in 7 years will be three times what it was 19 years ago:
 
x + 7 = 3 (x-19)
3 0
3 years ago
What is the simplified form of 5 square root x^4 • 5 square root x^4
laiz [17]

Answer: C

Step-by-step explanation:

You can write each term into a fraction.

\sqrt[5]{x^4} becomes x^4^/^5

When you multiply 2 terms with the same base, you add the exponents.

x^4^/^5*x^4^/^5=x^4^/^5^+^4^/^5=x^8^/^5

x^8^/^5 is also the same as x\sqrt[5]{x^3}

You get this because \sqrt[5]{x^8} =\sqrt[5]{x*x*x*x*x*x*x*x}. When you pull out 5 os x, you are left with x³ on the inside.

8 0
3 years ago
What is the value of 4/7 x 0.3 ÷ 1/6
Alik [6]
1.03 Is approximately your answer
5 0
4 years ago
Read 2 more answers
On a fishing excursion, jeannie keeps 1/4 of the fish she catches and releases the remainder of the fish back into the lake. if
postnew [5]
To find 1/3 of 3/4 we divide the fraction by 3 which is equal to 1/4 or alternatively we can multiply the denominator by 3 which gives us 3/12 (1/4=3/12)
So 3/12 of the realesed fish are trout

To find 2/3 of 1/4 we need to first divide 1/4 by 3 which is equal to multiplying the denominator times 3 which gives us 1/12 and then we multiply by 2 which gives us 2/12
So 2/12 of the kept fish are trout

To find the total amount we add 2/12 and 3/12
3/12+2/12= 5/12

ANSWER:
5/12 of the fish she catches are trout
7 0
3 years ago
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