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mash [69]
3 years ago
6

Solve for p.

Mathematics
2 answers:
KonstantinChe [14]3 years ago
5 0

Hi,

Answer: All Real Numbers

This can be achieved in 7 easy steps!

<u>My Numerical work:</u>

1. 2p + 3 > 2(p - 3)

Simplify both sides of the inequality:

2. 2p + 3 > 2p - 6

Subtract 2p from both sides:

3. 20 +3 - 20> 2p - 6 - 2p

4. 3 > -6

Subtract 3 from both sides:

5. 3 -3 > -6 - 2p

6. 0 > -9

7. All real numbers are solutions.

I Hope I Helped!

Mama L [17]3 years ago
4 0

Solve for p.

First, distribute 2 to all terms within the parenthesis

2(p−3) = 2(p) + 2(-3) = 2p - 6

2p+3 > 2p - 6

Isolate the p. Subtract p from both sides, and subtract 3 from both sides

2p (-2p) + 3 (-3) > 2p (-2p) - 6 (-3)

2p - 2p > -6 - 3

Simplify.

0 > - 9

0 > -9

all real numbers is your answer

hope this helps

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Find the distance between points M(-1,-10) and (-12,-3). round to the nearest tenth
Kitty [74]

The formula of the distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points (-1, -10) and (-12, -3). Substitute:

d=\sqrt{(-12-(-1))^2+(-3-(-10))^2}=\sqrt{(-11)^2+7^2}=\sqrt{121+49}=\sqrt{170}

\sqrt{170}\approx13.04

Answer: d ≈ 13.0

4 0
3 years ago
Solve for c.<br><br> a(c−b)=d
tatiyna

Answer:

c= ab + d/ a

Step-by-step explanation:

Let's solve for c.

a(c-b)=d

Step 1: Add ab to both sides.

-ab + ac + ab = d+ ab

ac = ab + d

Step 2: Divide both sides by a.

ac / a = ab + d / a

c = ab + d/ a

Answer:

c= ab + d/ a

Hope this helps ☝️☝☝

3 0
3 years ago
Assume that​ women's heights are normally distributed with a mean given by mu equals 62.5 in​,and a standard deviation given by
Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with  

\mu = 62.5 in

\sigma = 2.2 in

the normal probability density function is given by  

f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}, then

(a) P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx = 0.5899

   (in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking P(\bar{X} < 63) where n = 37. \bar{X} is normally distributed with mean 62.5 in and standard deviation 2.2/\sqrt{37}. So, the probability density function is given by

g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}, and

P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0
3 years ago
9. Subtract: 5-3 1/3​
Elena-2011 [213]

Answer: 1 and 2/3

Step-by-step explanation:

Imagine 3 1/3 as if it’s in parenthesis as (3 + 1/3)

Subtract three from five.

You should get two.

Then you subtract the last 1/3 from that two.

There are three thirds in one digit.

Therefore, two thirds are left over, plus that last whole digit.

You are left with one and one third.

7 0
3 years ago
Interior angle of a regular hexagon
zmey [24]

Answer:

120 degrees the sum of all angle is 720 degrees In the above

8 0
3 years ago
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