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vichka [17]
4 years ago
9

What are the first five terms of an arithmetic sequence if a 17 = ‒40 and a 28 = ‒73? A. 8, 11, 14, 17, 20 B. 8, 5, 2, ‒1, ‒4 C.

‒8, ‒11, ‒14, ‒17, ‒20 D. ‒8, ‒5, ‒2, 1, 4
Mathematics
1 answer:
Allisa [31]4 years ago
3 0
The common difference
(-73 - -40)/(28 - 17) = -3
Term a1: -40 - (-3*(17-1)) = 8
Term a2: 8+-3=5
Term a3: 2
Term a4: -1
Term a5: -4
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assume that random guesses are made for 8 multiple choice questions on an SAT test, so that there are n=9 trials, each with prob
melamori03 [73]

Answer:

P(x

Step-by-step explanation:

If we call x the number of correct questions obtained in the 9 attempts, then:

x is a discrete random variable that can be modeled by a binomial probability distribution p, with n = 9 trials.

So, the p of x successes has the following formula.

P(x) =\frac{n!}{x!(n-x)!}*p^x(1-p)^{n-x}

Where:

n = 9

p = 0.6

We are looking for P(x<4)

By definition:

P(x

Then:

P(x\leq3)=\sum_{x=0}^{3} \frac{9!}{x!(9-x)!}*(0.6)^x(1-0.6)^{9-x}

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5 0
4 years ago
Darnelle drew this figure and the accompanying equations.
kondor19780726 [428]

Answer:

Option D. w + x = z

Step-by-step explanation:

see the attached figure to better understand the problem

we have

w+x+y=180 ----> equation A

y+z=180 ----> equation B

equate equation A and equation B

w+x+y=y+z

Subtract y both sides

w+x=z

This equation satisfy the <em><u>Triangle Exterior Angle Theorem</u></em> (An exterior angle of a triangle is equal to the sum of the opposite interior angles)

4 0
3 years ago
Find the distance between (-6, -5) and (2,0)
kotykmax [81]

Answer:

\displaystyle d = \sqrt{89}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-6, -5)

Point (2, 0)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute [DF]:                    \displaystyle d = \sqrt{(2+6)^2+(0+5)^2}
  2. Add:                                      \displaystyle d = \sqrt{(8)^2+(5)^2}
  3. Exponents:                           \displaystyle d = \sqrt{64+25}
  4. Add:                                      \displaystyle d = \sqrt{89}
5 0
3 years ago
Help plz i will give brainlist:)
Virty [35]
6:45AM
7:45 minus 15 is 7:30
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4 0
3 years ago
Read 2 more answers
A plain pretzel weigh 17 grams and ounce that pretzel is covered in chocolate it weighs 42 grams. What is the percentage of choc
Bess [88]

Answer:

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Step-by-step explanation:

The weight of the pretzel as a fraction of the total is ...

  17/42 × 100% ≈ 40.48%

So, the weight of the chocolate is the fraction ...

  100% -40.48% = 59.52% ≈ 60%

3 0
3 years ago
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