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2 years ago

An equation is shown below:

Mathematics

2 answers:

lisov135 [29]2 years ago

5 0

Answer: x = 1

Step-by-step explanation:

5 ( 2x - 8 ) + 15 = -15 (write the equation)

5 ( 2x - 8 ) = -30 (subtract by 15 on both sides)

2x - 8 = -6 (divide by 5 on both sides)

2x = 2 (add 8 to both sides)

x = 1 (divide by 2 on both sides)

MrRa [10]2 years ago

5 0

Answer:

$x = 1$

Step-by-step explanation:

<u>Skills needed: One-Variable Equations, Solving Equations</u>

1) The first thing is to use P.E.M.D.A.S

There are no Parentheses, or Exponents, so we go to multiplication

The quantity we multiply is: $5(2x-8)$

Using distributive property (which is $a(b+c) = ab+ac$ ), you get:

$5(2x-8) = 5(2x) - 5(8) = 10x - 40$

2) Now, we substitute back in and combine like terms:

$10x-40+15=-15$

Combine the -40 and 15 ( $-40+15=-25$ )

Then, you will get: ( $10x-25=-15$ )

3) Add 25 to both sides, to isolate the variable:

$10x = -15+25$ , and then -15+25 is 10, so

$10x = 10$

4) Divide by 10 on both sides, and get $x = 1$

Hope this helps and have a nice day!! :) :]

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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

podryga [215]

Answer:

The value is $n = 384$

The correct option is a

Step-by-step explanation:

From the question we are told that

The margin of error is E = 0.05

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 is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally since the sample proportion is not given we will assume it to be

$\^ p = 0.5$

Generally the sample size is mathematically represented as

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

=> $n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)$

=> $n = 384$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

Generally if the level of confidence increases, the critical value of $\frac{\alpha }{2}$ increase and from the equation for margin of error we see the the critical value varies directly with the margin of error , hence the margin of error will increase also

So If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

8 0

3 years ago

If f(t)=3t^2+11 find f(7)

tamaranim1 [39]

Answer:

f(7) = 158

Step-by-step explanation:

To evaluate f(7) substitute t = 7 into f(t)

f(7) = 3(7)² + 11 = (3 × 49) + 11 = 147 + 11 = 158

6 0

3 years ago

Read 2 more answers