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Kay [80]
3 years ago
14

Equations with variables on both sides : 17-2p = 2p+5+2p

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0

Answer:

p = 2

Step-by-step explanation:

17 - 2p = 2p + 5 + 2p  

- 2p - 2p - 2p = 5 - 17

- 6p = - 12

p =  -12 / -6

p = 2

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A set of normally distributed data has a mean of 3.2 and a standard deviation of 0.7. Find the probability of randomly selecting
jenyasd209 [6]

Answer:

P(Z> 3.13) = 0.000874

Step-by-step explanation:

A set of normally distributed data has a mean of 3.2 and a standard deviation of 0.7. Find the probability of randomly selecting 30 values and obtaining an average greater than 3.6.

We can denote the population mean with the symbol \mu

According to the information given, the data have a population mean:

\mu = 3.2.

The standard deviation of the data is:

\sigma = 0.7.

Then, from the data, a sample of size n = 30 is taken.

We want to obtain the probability that the sample mean is greater than 3.6

If we call

\mu_m to the sample mean then, we seek to find:

P(\mu_m> 3.6)

To find this probability we find the Z statistic.

Z = \frac{\mu_m-\mu}{\sigma_{\mu_m}}

Where:

Where \sigma_{\mu_m} is the standard deviation of the sample

\sigma_{\mu_m} = \frac{\sigma}{\sqrt{n}}

\sigma_{\mu_m} =\frac{0.7}{\sqrt{30}}\\\\\sigma_{\mu_m} = 0.1278

P(\frac{\mu_m-\mu}{\sigma_{\mu_m}}> \frac{3.6-3.2}{0.1278})

Then:

Z = \frac{3.6-3.2}{0.1278}\\\\Z = 3.13

The probability sought is: P(Z> 3.13)

When looking in the standard normal probability tables for right tail we obtain:

P(Z> 3.13) = 0.000874

8 0
3 years ago
What are the benefits of having a quadratic function in standard form ?
Nady [450]
<span>Which is the correctly balanced equation for the reaction of rust, Fe2O3, and hydrochloric acid, HCl? A. Fe2O3 + HCl → FeCl3 + H2O B. Fe2O3 +3 HCl → 2 FeCl3 + H2O C. Fe2O3 + 6...</span>
6 0
3 years ago
1.6+x-3.2=-2+5.6 how to solve for x
DedPeter [7]
1.6+x-3.2=-2+5.6
simplify
-1.6+x=3.6
+1.6 both sides
x=5.2
3 0
3 years ago
Read 2 more answers
Peter is making new cushion covers for a chair. There are three sizes of
Lesechka [4]

Answer:

A 846 square inches

Step-by-step explanation:

Use the net:

Rectangle 1: (21 in + 3 in + 21 in + 3 in) by 15 in.

Rectangle 2: 21 in by 3 in

Rectangle 3: 21 in by 3 in

total area = sum of areas of 3 rectangles above.

total area = (48 in * 15 in) + 2(21 in * 3 in)

total area = 720 in^2 + 126 in^2

total area = 801 in^2

Answer: A 846 square inches

6 0
3 years ago
+
AleksandrR [38]

Answer:

f(4) =0 because 4>0

f(-2) =-2 coz -2 lies between 0 and -3

f(-5) =2/-5

3 0
3 years ago
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