All categories

3 years ago

Steps on how to Solve 7 - 2p > -5

Mathematics

2 answers:

leonid [27]3 years ago

7 0

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the inequality

-2p + 7 > -5

Step 2: Subtract 7 from both sides.

-2p + 7 - 7 > -5 - 7

-2p > -12

Step 3: Divide both sides by -2.

-2p/-2 > -12/-2

Answer: p < 6

ale4655 [162]3 years ago

6 0

Hello!

Answer:

p<6

*The answer must have a positive sign and less than symbol sign.

Step-by-step explanation:

First, you subtract by 7 from both sides of an equation.

$7-2p-7>-5-7$

Then, simplify.

$-2p>-12$

Next, multiply by -1 from both sides of an equation.

$(-2p)(-1)$

Simplify.

$2p$

You can also divide by 2 from both sides of an equation.

$\frac{2p}{2}$

And finally, simplify and solve. You can also divide by the numbers.

$12/2=6$

Final answer: $p$

Hope this helps!

Thanks!

-Charlie

Have a great day!

You might be interested in

HELPPPPPP

SOVA2 [1]

Answer:

10^-99

10^-17

10^-5

10⁵

10¹⁴

10³⁰

8 0

2 years ago

What is the area of the polygon? A: 1,140 2 B: 1,620 2 C: 2,052 2 D: 2,220 2

PtichkaEL [24]

Answer:

B: 1620cm2

Step-by-step explanation:

16×15×2+30×20

6 0

3 years ago

Read 2 more answers

Test scores of the student in a school are normally distributed mean 85 standard deviation 3 points. What's the probability that

Mrrafil [7]

Answer:

The probability that a random selected student score is greater than 76 is $\\ P(x>76) = 0.99865$ .

Step-by-step explanation:

The Normally distributed data are described by the normal distribution. This distribution is determined by two parameters, the population mean $\\ \mu$ and the population standard deviation $\\ \sigma$ .

To determine probabilities for the normal distribution, we can use the standard normal distribution, whose parameters' values are $\\ \mu = 0$ and $\\ \sigma = 1$ . However, we need to "transform" the raw score, in this case x = 76, to a z-score. To achieve this we use the next formula:

$\\ z = \frac{x - \mu}{\sigma}$ [1]

And for the latter, we have all the required information to obtain z. With this, we obtain a value that represent the distance from the population mean in standard deviations units.

<h3>The probability that a randomly selected student score is greater than 76</h3>

To obtain this probability, we can proceed as follows:

First: obtain the z-score for the raw score x = 76.

We know that:

$\\ \mu = 85$

$\\ \sigma = 3$

$\\ x = 76$

From equation [1], we have:

$\\ z = \frac{76 - 85}{3}$

Then

$\\ z = \frac{-9}{3}$

$\\ z = -3$

Second: Interpretation of the previous result.

In this case, the value is three (3) standard deviations below the population mean. In other words, the standard value for x = 76 is z = -3. So, we need to find P(x>76) or P(x>-3).

With this value of $\\ z = -3$ , we can obtain this probability consulting the cumulative standard normal distribution, available in any Statistics book or on the internet.

Third: Determination of the probability P(x>76) or P(x>-3).

Most of the time, the values for the cumulative standard normal distribution are for positive values of z. Fortunately, since the normal distributions are symmetrical, we can find the probability of a negative z having into account that (for this case):

$\\ P(z>-3) = 1 - P(z>3) = P(z$

Then

Consulting a cumulative standard normal table, we have that the cumulative probability for a value below than three (3) standard deviations is:

$\\ P(z$

Thus, "the probability that a random selected student score is greater than 76" for this case (that is, $\\ \mu = 85$ and $\\ \sigma = 3$ ) is $\\ P(x>76) = P(z>-3) = P(z$ .