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Elodia [21]
3 years ago
6

Please solve this problem ​

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

(4) 0

Step-by-step explanation:

<u>Given:</u>

  • cos²27°×cos²34°×...×cos²167 = ?

<u>Looking at the angles measures, they form series of: </u>

  • 27, 34, 41, ..., 167

This is AP with the first term of 27 and common difference of 7

<u>We can see one of the terms of this AP is 90</u>

  • 27+9*7 = 27 + 63 = 90

Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.

<u>So correct answer choice is</u>  Option 4) 0

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-3 x 2(4-18) + 8 =<br> Solve the equation
Karolina [17]

we are given

-3 x 2(4-18) + 8 =

Firstly , we will solve inside parenthesis

-3 *2(4-18) + 8 =

-3 *2*-14 + 8 =

now, we can multiply

-6*-14 + 8 =

84 + 8 =

=92............Answer

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3 years ago
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Julie needs at least $123 to buy a pair of shoes. She has saved $56 and earns $8 weekly for completing
Nataliya [291]

Answer:

It will take 9 weeks

Step-by-step explanation:

56 + 8x \geq 123

8x  \geq 67

x  \geq 8.375

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2 years ago
Let ​ f(x)=x2+17x+72 ​ . What are the zeros of the function? ​Enter your answers in the boxes.
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Answer:

(x-9)(x-8)

Step-by-step explanation:

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3 years ago
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Sandra swims the 100-meter freestyle for her school’s swim team. Her state’s ranking system awards 3 points for first place, 2 p
iris [78.8K]

Complete question :

Sandra swims the 100-meter freestyle for her school’s swim team. Her state’s ranking system awards 3 points for first place, 2 points for second, 1 point for third, and 0 points if she does not place. Her coach used her statistics from last season to design a simulation using a random number generator to predict how many points she would receive in her first race this season.

What is Sandra’s expected value of points awarded for a race?

Integer Value Points Awarded Frequency

1-8 3 20

9-15 2 12

16-19 1 6

20 0 2

Answer:

expected value of points awarded for a race is 2.25

Step-by-step explanation:

Data given:

Integer Value - - Points Awarded - - Frequency

1-8 - - - - - - - - - - - - - 3 - - - - - - - - - - - - - - 20

9-15 - - - - - - - - - - - - 2 - - - - - - - - - - - - - - 12

16-19 - - - - - - - - - - - - 1 - - - - - - - - - - - - - - -6

20 - - - - - - - - - - - - - 0 - - - - - - - - - - - - - - - 2

Expected value(E) :

Score * probability of score

That is;

E = x * p(x)

From the data generated:

Probability of each score :

Probability = required outcome / Total possible outcomes

Total possible outcomes = (20+12+6+2) = 40

P(score(x) = 3) = 20/40 = 0.5

P(score(x) = 2) = 12/40 = 0.3

P(score(x) = 1) = 6/40 = 0.15

P(score(x) = 0) = 2/40 = 0.05

Expected score :

[(3*0.5) + (2*0.3) + (1*0.15) + (0*0.05)]

[1.5 + 0.6 + 0.15 + 0]

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3 years ago
Evaluate each function for x = 4<br> g(x) = -2x - 3
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Answer:

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General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = -2x - 3

x = 4

<u>Step 2: Evaluate</u>

  1. Substitute:                    g(4) = -2(4) - 3
  2. Multiply:                        g(4) = -8 - 3
  3. Subtract:                       g(4) = -11
3 0
3 years ago
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