3 years ago

James had 42 dollars. He bought his sister a gift that costs x dollars. How much money does james have now, in terms of x

Mathematics

1 answer:

nata0808 [166]3 years ago

5 0

Answer:

42-x = James' money now

Step-by-step explanation:

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If A and B are independent events with P(A) = .5 and P(B) = .2, find the following:a) P(A U B)b) P(A^c ? B^c)c) P(A^c U B^c)**No

Effectus [21]

If A and B are independent, then $P(A\cap B)=P(A)P(B)$ .

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=P(A)+P(B)-P(A)P(B)$

$P(A\cup B)=0.5+0.2-0.5\cdot0.2$

$\boxed{P(A\cup B)=0.6}$

b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:

$P(A^c\cap B^c)=P(A\cup B)^c=1-P(A\cup B)$

$P(A^c\cap B^c)=1-0.6$

$\boxed{P(A^c\cap B^c)=0.4}$

c. DeMorgan's law can be used here too:

$P(A^c\cup B^c)=P(A\cap B)^c=1-P(A\cap B)=1-P(A)P(B)$

$P(A^c\cup B^c)=1-0.5\cdot0.2$

$\boxed{P(A^c\cup B^c)=0.9}$

4 0

3 years ago

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Svetllana [295]

Area of a triangle= 1/2 (ab) (sin C)
= 1/2 (9 x 11.5) (sin 63.4)
= 46.27

3 0

3 years ago

Whats the area of this parallelogram?

mart [117]

The formula for a parallelogram is A(area)= b(base) x h(height)
A= 6cm + 5cm
A= 11cm
A= 11cm x 12cm
A= 132cm

So your answer is 132cm.

7 0

3 years ago

I want to take my 5 friends to the movie theater. It costs $8.25 a ticket and I want to buy a pound of gummy bears to share with

Nonamiya [84]

Answer:

Whatever the gummy bears cost minus the amount left

Step-by-step explanation:

50= 8.25(5) + gummy bears

50=41.25 + gummy bears

8.75= gummy bears

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3 years ago

5x-2y=11 and 3x+4y=4<br>Find the value of x and y in equation.

nadya68 [22]

5x-3y=11---(1)
3x+4y=4---(2)

(1)×3 and (2)×5

15x-9y=33-(3)
15x+20y=20-(4)

Subtract both

$\\ \sf\longmapsto -29y=13$

$\\ \sf\longmapsto y=\dfrac{-13}{29}$

Put in eq(1)

$\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11$

$\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}$

$\\ \sf\longmapsto x=\dfrac{278}{145}$

7 0

2 years ago

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