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
olga_2 [115]
4 years ago
5

2 Points

Mathematics
2 answers:
Yuri [45]4 years ago
8 0

Answer:

T

Step-by-step explanation:

larisa [96]4 years ago
3 0

Answer:

Step-by-step explanation:

A true true

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
3 years ago
PLEASE HELP(Mainly 15 &amp; 16) I can give BRAINLIEST!!!
lisov135 [29]

Answer: sorry I don't get it but the answer for 16 is B sorry

Step-by-step explanation:

What do they teach you they are weird t doesn't make any sense

6 0
3 years ago
Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side
svp [43]
A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
      = (7 - 5) ÷ 2
      = 2 ÷ 2
      = 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²) 
      = √(5² - 1²)
      = √(25 - 1)
      = √24
      = 2√6

Last, we have all the information needed in order to calculate the area by the formula:

A =  \frac{(AB + CD)DH}{2}

A = (7 + 5) × 2√6 ÷ 2
   = 12√6

The area of the regular trapezoid is 12√6 square units.

7 0
3 years ago
Traveling 1,200 miles in 4 hours
Dafna1 [17]

Answer:

speed is 240 miles per hour

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
First equation x-y=8<br> second equation x+y=6<br> this would be very helpful
skelet666 [1.2K]
I’m sorry I don’t know
4 0
3 years ago
Other questions:
  • The perimeter of a rectangle is 86cm Twice the width exceeds the length by 2cm find the dimensions of the rectangle
    7·1 answer
  • There are 12 different pizza toppings, and Arturo must rank his top 5 in order. How many different possible rankings are there?
    7·1 answer
  • Two squares, each with an area of 25units are placed side by side to form a rectangle. What is the perimeter of the rectangle?
    10·1 answer
  • Are all congruent polygons similar?
    9·2 answers
  • Need hep with this question​
    9·1 answer
  • How do you write a song that will knock over a cow
    8·2 answers
  • PLZ HELPPPPP ILL GIVE BRAINLIEST
    10·2 answers
  • A scale drawing of a house shows 9cm x10cm. If<br> 6cm=12 ft, what are the actual dimensions?
    8·1 answer
  • If it takes eight men ten hours to build a wall, how long would it take four men?
    6·2 answers
  • Solve for x.<br> 4(x + 3) = x +42<br> x = [?]
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!