1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Levart [38]
3 years ago
8

16 increased by twice a number is -24

Mathematics
1 answer:
wlad13 [49]3 years ago
8 0
X-the number

16 + 2x = -24    |subtract 16 from both sides

2x = -40      |divide both sides by 2

<u>x = -20</u>

Answer: <em>The number is -24</em>
You might be interested in
4- A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produ
galben [10]

Answer:

\\ \mu = 118\;grams\;and\;\sigma=30\;grams

Step-by-step explanation:

We need to use z-scores and a standard normal table to find the values that corresponds to the probabilities given, and then to solve a system of equations to find \\ \mu\;and\;\sigma.

<h3>First Case: items from 100 grams to the mean</h3>

For finding probabilities that corresponds to z-scores, we are going to use here a <u>Standard Normal Table </u><u><em>for cumulative probabilities from the mean </em></u><em>(Standard normal table. Cumulative from the mean (0 to Z), 2020, in Wikipedia) </em>that is, the "probability that a statistic is between 0 (the mean) and Z".

A value of a z-score for the probability P(100<x<mean) = 22.57% = 0.2257 corresponds to a value of z-score = 0.6, that is, the value is 0.6 standard deviations from the mean. Since this value is <em>below the mean</em> ("the items produced weigh between 100 grams up to the mean"), then the z-score is negative.

Then

\\ z = -0.6\;and\;z = \frac{x-\mu}{\sigma}

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

<h3>Second Case: items from the mean up to 190 grams</h3>

We can apply the same procedure as before. A value of a z-score for the probability P(mean<x<190) = 49.18% = 0.4918 corresponds to a value of z-score = 2.4, which is positive since it is after the mean.

Then

\\ z =2.4\;and\; z = \frac{x-\mu}{\sigma}

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

<h3>Solving a system of equations for values of the mean and standard deviation</h3>

Having equations (1) and (2), we can form a system of two equations and two unknowns values:

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

Rearranging these two equations:

\\ -0.6*\sigma = 100-\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

To solve this system of equations, we can multiply (1) by -1, and them sum the two resulting equation:

\\ 0.6*\sigma = -100+\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

Summing both equations, we obtain the following equation:

\\ 3.0*\sigma = 90

Then

\\ \sigma = \frac{90}{3.0} = 30

To find the value of the mean, we need to substitute the value obtained for the standard deviation in equation (2):

\\ 2.4*30 = 190-\mu (2)

\\ 2.4*30 - 190 = -\mu

\\ -2.4*30 + 190 = \mu

\\ \mu = 118

7 0
2 years ago
in how many year will rs 8000 amount to rs 13824 at 20% per annum interest compounded annually? please please help me out​
icang [17]

Answer :-

<h3>3 years</h3>

step by step explanation:-

Let the time be x

principal = rs 8000

Amount = rs 13824

rate = 20% p.a

A = P(1+r/100)^n

13824 = 8000 ( 1 + 20/100)^n

=> 13824/8000 = (120/100)^n

=> 13824/8000 = (24/20)^n

=> (24/20)³ = (24/20)^n

=> 3 = n

=> n = 3 years

3 0
3 years ago
I need help with <br> (6 + 4)² ÷ 4 – 8 + 6 · 8 and 16 + 3(8 + 2) + 6² ÷ 9<br> show work please!
Alex787 [66]
Better do gemdas sis
5 0
3 years ago
Rational number between 9.6 and 9.7
ELEN [110]
0.1 i guess ok so try my question but im not 100 sure its correct
3 0
3 years ago
Which expression represents the phrase?"4 more than the product of 8 and n."A) 8n – 4B) 8n + 4C) 4(8 + n)D) (8 + n) – 4
Dafna11 [192]

Answer:

B) 8n+4

Step-by-step explanation:

The product of 8 and n means 8n. Four more means +4. These together equal B) 8n+4

6 0
2 years ago
Read 2 more answers
Other questions:
  • sara has two bags of nuts one with 60% peanuts and the other with 28% peanuts. to make a ten pound bag of 45% peanuts how much o
    6·1 answer
  • What is the slope m and the y-intercept b of the graph of 8x + 3y = 10?
    8·1 answer
  • Angie baked 100 cookies and Tony brownies she wants to split them into equal groups for the bake sale each group must have the s
    8·1 answer
  • A number that can be written as a fraction?
    13·1 answer
  • Circle a has an area of 254.469 square units. What is the circumstance of circle a? Round your answer to the nearest hundredth,
    8·1 answer
  • 4 friends equally share half of a pizza how much of the whole pizza does each friend get
    5·2 answers
  • Can someone please help me with number 2 thank you!
    6·1 answer
  • Assume the readings on thermometers are normally distributed with a mean of degrees and a standard deviation of 1.00degrees. Fin
    14·1 answer
  • What does -8(6x - 2) equal? How do I get my answer?
    15·2 answers
  • What is the slope of y = −4x + 5?<br> i. 4 ii. 5 iii. − 4 iv. 4/5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!