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3 years ago

13

Keisha rolls two 6-sided number cubes. What is the probability that she will roll a number less than 7? (Leave your answer as a

simplified fraction)

1 answer:

IceJOKER [234]3 years ago

5 0

Answer:

6/12 score or 1/2

Step-by-step explanation:

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Urgent!! Will mark brainliest!!

anastassius [24]

Answer:

1) tanФ = 0.8392 ⇒ 2nd answer

2) cosФ = 20/29 ⇒ 3rd answer

3) cosФ = -√2/2 , cotФ = -1 ⇒ first answer

Step-by-step explanation:

* At first check the quadrant of the angle

∵ 180° < Ф < 270°

∴ Ф lies on the third quadrant

* Remember in the 3rd quadrant tanФ and cotФ only positive

∵ sinФ ≅ -0.7660

∵ tan²Ф = sec²Ф - 1

∵ secФ = 1/sinФ

∵ secФ = 1/-0.7660

∴ sec²Ф = (1/-0.7660)²

* Substitute this value in the equation

∴ tan²Ф = (1/-0.7660)² - 1 = 0.70428594 ⇒ take √ for both sides

∴ tanФ ≅ ± 0.8392

∵ Ф lies on the 3rd quadrant

∴ tanФ = 0.8392

* At first check the quadrant of the angle

∵ 0° < Ф < 90°

∴ Ф lies on the first quadrant

* Remember in the 1st quadrant all are positive

∵ sinФ = 21/29

∵ sin²Ф + cos²Ф = 1

∴ (21/29)² + cos²Ф = 1 ⇒ subtract (21/29)² from both sides

∴ cos²Ф = 1 - (21/29)² = 400/841 ⇒ take √ in both sides

∴ cosФ = ± 20/29

* Because Ф lies in the 1st quadrant

∴ cosФ = 20/29

* Remember that when the point is at the terminal side of angle Ф

∴ Its x-coordinate is cosФ

∴ Its y-coordinate is sinФ

* The point is (-√2/2 , √2/2)

∵ x-coordinate is negative ad y-coordinate is positive

∴ the point is on the 2nd quadrant

∴ 90° < Ф < 180°

∴ The values of sinФ and cscФ only positive

* From previous we know that:

∴ cosФ = -√2/2

∴ sinФ = √2/2

∵ cotФ = cosФ/sinФ

∴ cotФ = -√2/2 ÷ √2/2 = -√2/2 × 2/√2 = -√2/√2 = -1

* cosФ = -√2/2 , cotФ = -1

3 0

4 years ago

Find the inverse of the function.<br> f(x) = -3x + 7

LUCKY_DIMON [66]

F(x) = -3x + 7
y = -3x + 7
x = -3y + 7
-3y + 7 = x
-3y = x - 7
y = -1/3x + 7/3
f^-1(x) = -1/3x + 7/3

8 0

3 years ago

PLEASE HELLPPPP<br><br> What is 20 + 57 (45x56), (12÷50)

ValentinkaMS [17]

#1

$\\ \sf\longmapsto 20+57(45\times 56)$

Solve the Bracket

$\\ \sf\longmapsto 20+57(2520)$

$\\ \sf\longmapsto 20+143640$

$\\ \sf\longmapsto 143660$

4 0

3 years ago

Read 2 more answers

The average number of newspapers for sale in an airport stand is 15. SD is 6. The average age of the pilots is 36 and SD is 4. W

balu736 [363]

Answer:

The average age of pilots has a lower coefficient of variation, so it is the most consistent data set.

Step-by-step explanation:

The coefficient of variation is used to measure consistency of a data set. It is the standard deviation divided by the mean. The higher the coefficient of variation, the more variable, that is, the least consistent the data set is.

The average number of newspapers for sale in an airport stand is 15. SD is 6.

The consistency is:

$C = \frac{6}{15} = 0.4$

The average age of the pilots is 36 and SD is 4.

The consistency is:

$C = \frac{4}{36} = 0.11$

The average age of pilots has a lower coefficient of variation, so it is the most consistent data set.

4 0

4 years ago

The decimal .67 can be written as which fraction? A) 67 10,000 B) 67 1,000 C) 67 100 D) 67 10

ss7ja [257]

That would be C because there are two zeros right?
So you move two decimal places from 67.
And you get 0.67

5 0

3 years ago

Read 2 more answers