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Gnesinka [82]
3 years ago
7

Which set of numbers is included in the solution set of 5-4x<-7

Mathematics
1 answer:
Amanda [17]3 years ago
4 0

Answer:

x > 3

Step-by-step explanation:

The inequality to solve is:

5 - 4x < - 7

We will solve this using same method as solving an equation. We will take numbers to one side and variables to another and multiply and divide accordingly.

So,

5-4x

That means "x is greater than 3", so we can write:

x > 3

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3 years ago
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To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p
Over [174]

Answer:

The minimum sample needed to provide a margin of error of 3 or less is 52.

Step-by-step explanation:

The confidence interval for population mean (<em>μ</em>) is:

\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error is:

MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

<u>Given:</u>

MOE = 3

<em>σ </em>= 11

The critical value for 95% confidence interval is: z_{\alpha /2}=1.96

**Use the <em>z</em>-table for critical values.

Compute the sample size (<em>n</em>) as follows:

MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=1.96\times \frac{11}{\sqrt{n}}\\n=(\frac{1.96\times11}{3} )^{2}\\=51.65\\\approx52

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.

7 0
3 years ago
Sandra used partial products to find the product of 438 × 17 by multiplying 438 by 1 and 438 by 7 to get 3,066. Find the product
boyakko [2]

Let us determine the product of 438 and 17 by partial products.

Consider 438 = 400+30+8

and 17 = 10+7

So, 438 \times 17 = (400+30+8) \times (10+7)

438 \times 17 = (400\times 10)+(30 \times 10)+(8 \times 10) +(400 \times 7)+(30 \times 7)+(8 \times 7)

= 438 \times 17 = (4000+300+80+2800+210+56)

= 7446

Therefore, the product of 438 and 17 is 7446.

No, Sandra's answer is not correct.

Because she should have expressed 17 as (10+7), then if she multiplied (438 by 10) and (438 by 7). And, then added the results.Then her answer would be correct.

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∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
guapka [62]
The correct answer is 1

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3 years ago
On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100
zysi [14]

Answer:

Step-by-step explanation:

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