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3 years ago

Find two numbers whose sum is 58 and whose difference is 16 Can anyone help me out

1 answer:

7 0

X, y - the numbers

$x+y=58 \\
\underline{x-y=16} \\
x+x+y-y=58+16 \\
2x=74 \\
x=37 \\ \\
x+y=58 \\
37+y=58 \\
y=21$

The two numbers are 37 and 21.

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in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin

Alborosie

Answer-

The probability of winning on the first roll is 0.22

Solution-

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

$|S|=6^2=36$

Let E be the event such that the sum of two numbers are 7, so

E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

$|E|=56$

$\therefore P(E)=\dfrac{|E|}{|S|}=\dfrac{6}{36}$

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

$|F|=2$

$\therefore P(F)=\dfrac{|F|}{|S|}=\dfrac{2}{36}$

Now,

$P(\text{sum is 7 or 11)}=P(E\ \cup\ F)=P(E)+P(F)=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}=0.22$

8 0

4 years ago

Explain why there must be at least two lines on any given plane

Lesechka [4]

BECAUSE THERE IS A Y AXIS AND AN X AXIS THOSE R THE 2 GIVIN LINES

6 0

4 years ago

Alex works as a nanny. Her regular hourly wage is $10.25. If she regularly works 28 hours per week, what is her regular weekly p

marishachu [46]

Answer:

She normally gets $287 a week

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

So like I just need help doing this ty

Aleksandr-060686 [28]

Answer:

x=7

Step-by-step explanation:

9x -5 = 58 since they are vertical angles and vertical angles are equal

9x-5 = 58

Add 5 to each side

9x-5+5 = 58+5

9x = 63

Divide each side by 9

9x/9 = 63/9

x=7

7 0

4 years ago

If 10-10ˣ=9.9, find x

madam [21]

we are given

$10-10^x=9.9$

we can move 10 on right side

$-10^x=9.9-10$

$-10^x=-0.1$

we cancel -1

$10^x=0.1$

we can rewrite right side

$10^x=10^{-1}$

we can compare exponents

and we get

$x=-1$ .............Answer

3 0

3 years ago