How many terms are in the expression: 12p + 8m + 2

Answers

Answer 1

Answer:

Answer: I THINK 4.

Step-by-step explanation:

Sorry if it is wrong!! :'D

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What is 4cos2(165°) – 2 expressed as a single trigonometric function? 4cos(330°) 2cos(330°) 4cos(82.5°) 2cos(82.5°)

Answers

Expressing 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)

Meaning of trigonometric function

Trigonometric function can be defined as real functions in mathematics that forms a relationship between an angle of a right-angled triangle to the ratio of the length of two sides.

Trigonometric function is very important as it is mostly concerned with functions of angles and their application in calculation

In conclusion, to express 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)

Learn more about trigonometric function: brainly.com/question/24349828

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Answer:

2cos(330º)

Step-by-step explanation:

both equal to √3

For a standard normal distribution, which of the following expressions must always be equal to 1?A) P(z≤-a)-P(-a≤z≤a)+P(z≥a)
B) P(z≤-a)-P(-a≤z≤a)+P(z≥a)
C) P(z≤-a)+P(-a≤z≤a)-P(z≥a)
D) P(z≤-a)+P(-a≤z≤a)+P(Z≥a)

Answers

P(z ≤ -a) + P(-a ≤ z ≤ a) + P(z ≥ a) = 1 - P(z ≤ a) + [P(z ≤ a) - P(z ≤ -a)] + 1 - P(z ≤ a) = 2 - 2P(z ≤ a) + P(z ≤ a) - [1 - P(z ≤ a)] = 2 - P(z ≤ a) - 1 + P(z ≤ a) = 1

Therefore, option D is the correct answer.

Answer:

D. $P(z\le -a)+P(-a\le z\le a)+P(z\ge a)$

Step-by-step explanation:

Properties of normal distribution-

The normal curve is symmetrical about the mean (μ).
The mean is at the middle of the graph and it divides the area into two equal halves.
The total area under the curve is equal to 1.

The total area under the curve can be divided into parts like,

area below $-a$ , i.e $z\le -a$ ,
area between $-a$ to $a$ , i.e $-a\le z\le a$
area above $a$ , i.e $z\ge a$

Therefore, $P(z\le -a)+P(-a\le z\le a)+P(z\ge a)=1$

What is the slope of the line that goes through (6,5) and (3,1)?Answers:
A.3/4
B.-3/4
C.4/3
D.-4/3

Answers

Solving the slope,
m = (y2 - y1)/(x2 - x1)
m = (1 - 5)/(3 - 6)
m = (-4)/(-3)
m = 4/3

The answer is c.

Josh used a standard deck of 52 cards to conduct an experiment. Half of the cards in the deck were red. The other half were black. Josh predicted that he would choose a red card in 4 out of 8 trials. When he conducted the experiment, he actually chose a red card 6 out of 8 times. Which explains the most likely reason for the discrepancy between Josh’s predicted and actual results?He incorrectly predicted the number of times he would choose a red card.
He incorrectly determined the actual number of times he chose a red card.
He used too few trials for the sample space.
He used too many trials for the sample space.

Answers

Step-by-step explanation:

He used too few trials for the sample space.

If he conducts a lot more trials, his results will be closer to 50% red

What is the fractional equivalent of 0.2666
12/45
26/90
28/90

Answers

x = 0.2666... |multiply both sides by 10

10x = 2.666... |multiply both sides by 10

100x = 26.666...

100x - 10x = 26.666... - 2.666...

90x = 24 |divide both sides by 90

x = 24/90

x = 12/45

Answer: 0.2666... = 12/45

$Let x = 0.2666$

$10x = 2.666$

$100x = 26.666$

$100x - 10x = 26.666= - 2.666$

$90x = 24$

$x = 24/90$

$x = 12/45$

Fraction = 12/45

Solve the system of equations. 3x = -31 + 2y
5x + 6y = 23

a. x = -5, y = 8
b. x = - 29, y = - 28
c.no solution
d.infinite solutions

Answers

Answer:

a. x = -5, y = 8

Step-by-step explanation:

$\left\{\begin{array}{ccc}3x=-31+2y&\text{subtract}\ 2y\ \text{from both sides}\n5x+6y=23\end{array}\right\n\n\left\{\begin{array}{ccc}3x-2y=-31&\text{multiply both sides by 3}\n5x+6y=23\end{array}\right\n\n\underline{+\left\{\begin{array}{ccc}9x-6y=-93\n5x+6y=23\end{array}\right}\qquad\text{add both sides of the equations}\n.\qquad14x=-70\qquad\text{divide both sides by 14}\n.\qquad x=-5\n\n\text{Put it to the second equation:}\n\n5(-5)+6y=23\n-25+6y=23\qquad\text{add 25 to both sides}\n6y=48\qquad\text{divide both sides by 6}\ny=8$

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