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Natalka [10]
2 years ago
5

Mrs. Smith is comparing the test grades between her morning and afternoon class.

Mathematics
2 answers:
lyudmila [28]2 years ago
6 0

Answer:

 

Answer is D

Step-by-step explanation:

A)  

Since the range of scores for her afternoon class was smaller by 2 points than the range for the morning class her afternoon class did better.  

 

B)  

Since her afternoon class had more variability whereas her morning class was clustered around 80 this shows that her afternoon class did better.  

C)  

Overall her morning class did better even though there were several gaps in the lower scores and larger variability in the upper scores than her afternoon class.  

 

D)  

Overall her morning class did better. It was tightly clustered around 80 with some variability in grades between 40 and 70 whereas her afternoon class had much more variability in the lower grades between 40 and 60 and few scores that were above 70.

lina2011 [118]2 years ago
5 0

Answer:

it is b

Step-by-step explanation:

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Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function?
Lana71 [14]

Answer:

The value of x = - 1 and 2 double root of this function

Step-by-step explanation:

we need to find the value of x which double root of f(x)=x^{3} -3x-2

If we replace x with -2 then

f(-2)=(-2)^{3} -3(-2)-2 = -8+6-2 =-4

If we replace x with -1 then

f(-1)=(-1)^{3} -3(-1)-2 = -1+3-2 =0

If we replace x with 1 then

f(1)=(1)^{3} -3(1)-2 = 1-3-2 =-4

If we replace x with 2 then

f(2)=(2)^{3} -3(2)-2 = 8-6-2 =0

Hence, the value of x = - 1 and 2 double root of this function

4 0
2 years ago
Franklin rides his bike to the beach averaging 18mph. He rides home along the same route. What speed must he average on the way
Sedaia [141]
  • <em>Answer:</em>

<em> 24 mph</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>Vm = 21mph</em>

<em>V1 = 18mph</em>

<em>V2 = ?</em>

<em>Vm = (V₁ + V₂)/2</em>

<em>2Vm = V₁ + V₂</em>

<em>V₂ = 2Vm - V₁</em>

<em>replace Vm ; V₁</em>

<em>V₂ = 2×21mph - 18mph</em>

<em>= 42mph - 18mph</em>

<em>= 24 mph</em>

<em>Good luck !</em>

8 0
2 years ago
Write a program that prompts the user to read two integers and displays their sum . if anything but an integer is passed as inpu
natka813 [3]
<span>The Java code below will ask for two integers and display the sum. If a non-integer is submitted the code will ask again. The break is used to exit the while true loop indicating that no-errors had occurred and two numbers were added. System.out.print("Please insert two integers and this will display the sum."); int numOne; int numTwo; while (True) { try{ System.out.print("Integer Number One? "); numOne = input.nextInt(); System.out.print("Integer Number Two? "); numTwo = input.nextInt(); System.out.print("The Sum Is: " + (numOne + numTwo)); break; } catch (InputMismatchException e) { System.out.print("please enter an integer ."); } }</span>
4 0
2 years ago
2.4 Backgammon. Backgammon is a board game for two players in which the playing pieces are moved according to the roll of two di
muminat

Answer:

The claim is not fair because:

  • Probability of roliing two 6s = Probability of rolling two 3s = 1/36

Step-by-step explanation:

The <em>probaility</em> of an event is defined as the number of favorable outcomes divided by the number of total possible events.

P (event E) = number of outcomes for event E / number of possible events

1. <u>As </u><u>first step</u><u>, you may draw a table to find the </u><u>sample space</u><u> (set of all possible outcomes)</u>.

<u>Sample space</u>

The results of the rolling two dice are summarized in this table:

                    Second roll    1       2       3       4        5      6

First roll

  1                                       (1,1)  (1,2)    (1,3)   (1,4)   (1,5)  (1,6)

  2                                     (2,1)  (2,2)  (2,3)  (2,4)  (2,5)  (2,6)

  3                                     (3,1)  (3,2)  <u>(3,3)</u>   (3,4)  (3,5)  (3,6)

  4                                     (4,1)   (4,2)  (4,3)  (4,4)  (4,5)  (4,6)

  5                                     (5,1)  (5,2)  (5,3)  (5,4)  (5,5)  (5,6)

  6                                     (6,1)  (6,2)  (6,3)  (6,4)  (6,5)  <u>(6,6)</u>

<u></u>

2.<u>Now, in that table, you can observe</u>:

The results (3,3) and (6,6) are highlited.

a) Total number of events: 6 × 6 = 36

b) Nnmber of outcomes for the event rolling two 6s (6,6): 1

c) Number of outcomes for the event rolling two 3s (3,3): 1

3) <u>Next, you can calculate the probabilities:</u>

a) Probability rolling two 6s = 1 / 36

b) Probability of rolling two 3s: 1 / 36

4. <u>Conclusion</u>: the probabilities prove that rolling two 6s is just as likely as rolling two 3s.

7 0
2 years ago
Show that the three points whose position vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k form an isosceles right
Novay_Z [31]

Answer:

AB = √18 , BC=√18 and CA =4

AB²+BC²  = CA² and AB=BC

ΔABC isosceles right  angled triangle.

Step-by-step explanation:

Given vectors are  7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k

A( 0,7,10), B( -1,6,6) C(-4,9,6)

AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k

AB = \sqrt{1+1+16} = \sqrt{18}

BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j

BC=\sqrt{9+9} =\sqrt{18}

CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k

CA = \sqrt{16+4+16} =\sqrt{36} =4

Since AB²+BC²  = CA²

And AB=BC

Therefore it follows that ΔABC is a right angled isosceles triangle



3 0
2 years ago
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