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3 years ago

Show the following equations on a number line. a) -16 < 4x _ x÷2

Mathematics

1 answer:

Fudgin [204]3 years ago

7 0

Step-by-step explanation:

-16(2)<4x(2)-x/2(2)

-32<8x-x

-32<7x

-32/7<7x/7

-32/7<x

-4.5714285714285714<x

~-4.56<x

So after drawing the number line, indicate it starting from negative 4.6 and pointing the arrow towards the right. Do not shade

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Graph g(x)=2cos x. Use 3.14 for pi

oksian1 [2.3K]

Sry im not 100% sure, but i think it's suppose to look like this on a graph.

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3 years ago

Two number cubes are rolled for two separate events:

andrew11 [14]

Answer: $\bold{P(B|A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{11}{30}}$

<u>Step-by-step explanation:</u>

The probability of Event B given Event A = the intersection of Event A and B divided by the probability of Event A. (see below for the symbols)

$P(B|A)=\dfrac{P(B\cap A)}{P(A)}$

P(A) = (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1)

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

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

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

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

(6, 3), (6, 2), (6, 1)

= 30

P(B) = (1, 2), (2, 1) sum = 3

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

(3, 6), (4, 5), (5, 4), (5, 4), (6, 3) sum = 9

(6, 6) sum = 12

= 12

P(A ∩ B) = (1, 2), (2, 1)

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

(3, 6), (4, 5), (5, 4), (5, 4), (6, 3)

= 11

7 0

4 years ago

Of 100 staff member of school 48 drank coffee 25 drank both tea and coffee and every one drinks either coffee or tea . How staff

aivan3 [116]

Answer:

Step-by-step explanation:

Number of member of staff that drank tee = total number of member of staff - number that drank coffee - number that drank both tea and coffee

100 - 48 - 25 = 27 members of staff

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3 years ago

In the triangle below, find the value of a/// Please help!

sergiy2304 [10]

Answer:

a= 45

Step-by-step explanation:

all angles equal 180 degrees so you take the angle given which is 45 and the other which is a right angle, or 90 degrees and subtract 45 from 90 and you get 45 so a = 45 and you add up 45 + 45 + 90 thats 180!

3 0

3 years ago

What is the number of ways to<br> arrange 5 objects from a set of 8<br> different objects?

jekas [21]

Answer:

6,720 ways

Step-by-step explanation:

Since in the problem arrangemnt is being asked this is a problem of permutation.

No . of ways of arranging r things out of n things is given by

P(n,r) = n!/(n-r)!

In the problem given we have to arrange 5 objects from set of 8 objects.

Here n = 8 and p = 5

it can be done in in

P(8,5) = 8!/(8-5)! ways

8!/(8-5)! = 8!/3! = 8*7*6*5*4*3!/3! = 8*7*6*5*4 = 6,720

Thus, number of ways to arrange 5 objects from a set of 8

different objects is P(8,5) = 8!/(8-5)! = 6,720 .

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3 years ago

Show the following equations on a number line. a) -16 < 4x _ x÷2​

Show the following equations on a number line. a) -16 < 4x _ x÷2