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
Inga [223]
3 years ago
13

Ommy Teacher wants to analyze the weights of the students at his school. He knows the weight of the students is normally distrib

uted so he can use the standard normal distribution. He measures the weight of 100 randomly selected students in the school. He finds the mean is 80 pounds and the standard deviation is 8 pounds.
Out of 100 students, how many should weigh between 64 and 96 pounds?
Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0
We first determine the z-scores for the given x-values of 64 and 96.
For x = 64: z = (64 - 80) / 8 = -2
For x = 96: z = (96 - 80) / 8 = 2
Therefore we find the probability that -2 < z < 2, which is around 0.95. Therefore, out of 100 students, approximately 100(0.95) = 95 students will weigh between 64 and 96 pounds.
You might be interested in
An algebra test contains 38 problems. Some of the problems are worth 2 points each. The rest of the questions are worth 3 points
Naily [24]

Let 'x' be the problems worth 2 points.

Let 'y' be the problems worth 3 points.

Since, there are 38 total problems.

So, x+y =38 (equation 1)

x = 38-y

Since, a perfect score is 100 points.

So, 2x+3y = 100 (equation 2)

Substituting the value of 'x', we get

2(38-y)+3y=100

76-2y+3y=100

76+y = 100

y = 24

x+y = 38

x = 38-24 = 14

So, 14 problems are worth 2 points and 24 problems are worth 3 points.

5 0
2 years ago
Read 2 more answers
Write an equation of the line that passes through (−3,7) and is perpendicular to the line y=−2x−5.
Murljashka [212]

Answer:

Step-by-step explanation:

an equation is : Use the point-slope formula.

y - y_1 = m(x - x_1)    ;  m : the slope   when : x_1 = -3   and  y_1  = 7

- 2 ×m = - 1  because this line is perpendicular to the line y= -2x-5 when the slope is  -2

so : m= 1/2

an equation is : y - 7 =(1/2)(x+3)  

7 0
3 years ago
Read 2 more answers
6. A graph with a<br> slope decreases from left to right.
Alexeev081 [22]
Please provide an image or other when you ask a question, as you’re not gonna get a clear answer
6 0
3 years ago
Read 2 more answers
Ayanna is 3 years older than Brittany. The sum of 3 times Brittany's age and 2 times Ayanna's age is 76. How old are Ayanna and
Alex_Xolod [135]
Ayanna is 17 and Brittany is 14.

To find this, let's write two equations using the given information.

a = b + 3
3b + 2a = 76

Now, just substitute the first equation into the second and solve.

3b + 2(b + 3) = 76
3b + 2b + 6 = 76
5b = 70
b = 14

If Brittany is 14, then Ayanna is 3 years older at 17.
7 0
2 years ago
Simplify. -10m+2m^4-13m-20m^4
Ulleksa [173]
First one:

you can add -10m and -13m but you can't add -10m and 2m^4 becuase the powers aren't the same so

when adding the like terms
look at the:
powers, (x^3 adds with x^3)
placehloder letter (x adds with x and y adds with y and so on)

-10m+2m^4-13m-20m^4
powers: m^1 and M^4
placeholders: all m


add
-10m-13m+2m^4-20m^4
-23m-18m^4




second one:
when multiplying exponents, you add with like
so if you multipliy
x^2yz^3 times x^4y^2z^2 thne you would get x^6y^3z^5
when multiply with coeficients
2x^2yz^3 times 4x^4y^2z^2=8x^6y^3z^5
so using associative property a(bc)=(ab)c
2/3 times p^4 times y^3 times y^4 times s^5 times 6 times p^2 times s^3
group like terms

(2/3 times 6) times (p^4 times p^2) times (y^3 times y^4) times (s^5 times s^3)
(4) times (p^6) times (y^7) times (s^8)
4p^6y^7s^8

8 0
3 years ago
Other questions:
  • Find the Value of x in the problem
    6·1 answer
  • Evaluate expression (5x)/9y )-1 when x =-8 and y=9
    10·1 answer
  • Write a explicit and recursive formula for -4,-6,-8,-10
    11·1 answer
  • The histogram shows the prices for six-packs of adult socks and six-packs of kid socks at a store. What is true about the variab
    14·1 answer
  • Harriet is cultivating a strain of bacteria in a petri dish. Currently, she has 103 bacteria in the dish. The bacteria divide ev
    8·1 answer
  • -15x+8y=-30 -5x+5y=-10
    10·1 answer
  • What is the Domain of the relation below:
    14·1 answer
  • Please you guys I need help!!!! I'll mark branliest !!!!
    14·1 answer
  • Renaldo earned $45 organizing the science section of the library. If
    9·1 answer
  • Find the median of the following<br> data set.<br> 14,24,35,37,43,35,45,24,29,41,45,<br> 37,19,45,44
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!