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mihalych1998 [28]
2 years ago
12

If number A is a 2-digit number and its digits are transposed to form number B, then the difference between the larger of the tw

o numbers and the smaller of the two numbers must be divisible by _____.
A.8
B.7
C.9
D.an even number
Mathematics
2 answers:
galben [10]2 years ago
8 0
If the original number is ab it has a value of

10a+b  when it is reversed it will have a value of 10b-a

10b+a-10a-b  is the differences which is equal to

9b-9a

So the numbers must be divisible by 9
Ganezh [65]2 years ago
7 0

Answer:

9 is the correct answer

Step-by-step explanation:

Apex

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Check the picture below.

so notice, their perimeter is the same, because the perimeter is just one rod anyway, and all rods are the same length, thus

\bf P_s=P_t\implies 4s=3(s+2)\implies 4s=3s+6\implies s=6

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2 years ago
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Events M and N are independent events. In this scenario, if P(M) = 0.46 and P(M and N) = 0.138, then P(N) = .
Oksi-84 [34.3K]

Answer:

P(N)=0.3

Step-by-step explanation:

Given: P(M)= 0.46, P(M and N)=0.138

Using P(M) ×P(N)= P(M and N)

⇒0.46×P(N)= 0.138

⇒P(N)= \frac{0.138}{0.46}

⇒P(N)=0.3

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2 years ago
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Evaluate sin(Arcos(-9/√145)).
tino4ka555 [31]

Use the fact that \sin x = \sqrt{1-\cos^2 x} to solve it.

\sin(\arccos(-\frac{9}{\sqrt{145}}))=\sqrt{1-\cos^2(\arccos(-\frac{9}{\sqrt{145}}))} =\\= \sqrt{1-(-\frac{9}{\sqrt{145}})^2}=\frac{8}{\sqrt{145}}

8 0
2 years ago
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Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.
bazaltina [42]
<span>45% -------------------------------chance that the land has oil

then
55</span>%--------------------------------chance that the land not have oil

<span>80% -------------------accuracy rate of indicating oil in the soil. (if land does have oil)
20</span>% -------------------accuracy rate of indicating not oil in the soil. (if land does have oil)

20% ---------------------accuracy rate of indicating oil in the soil. (if land has not oil)
80% ---------------------accuracy rate of indicating not oil in the soil. (if land has not oil)

 that the land has no oil----------------55%
 the test shows that it has oil-------- 20%
then 0.55*0.20=0.11=11%
the probability that the land has no oil and the test shows that it has oil is 11%
3 0
1 year ago
Write an expression that can be used to multiply 6 times 198 mentally
Zigmanuir [339]
I would half 198, get
99 and add a 0, this is how you multiply by 5 in your head

198*5 = 990
990 + 200 = 1190 - 2
= 1188

Alternatively we can round 198 to 200: then multiply by 6

200*6 = 1200

Then We subtract the 6 "2's" that we added

1200 - 12 = 1188


The expression for this is:
(6*200) - (6 * 2)
5 0
2 years ago
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