Answer:
The answer is 2 i think
Step-by-step explanation:
I think thats where the gap is
The required probability of rolling a dice and getting an even number and a number that is a multiple of 3 is 1/6.
To find the probability of rolling a dice and getting an even number (3, 4, or 6) and a number that is a multiple of 3 (3 or 6), we need to consider the outcomes that satisfy both conditions.
There are three even numbers on a standard six-sided dice: 2, 4, and 6. Out of these three even numbers, two of them are multiples of 3 (3 and 6).
The probability of rolling an even number is 3/6 (3 even numbers out of 6 possible outcomes) or simply 1/2.
The probability of rolling a number that is a multiple of 3 is 2/6 (2 multiples of 3 out of 6 possible outcomes) or 1/3.
Now, to find the probability of both events occurring together (rolling an even number and a number that is a multiple of 3), we multiply the individual probabilities:
Probability of getting an even number AND a number that is a multiple of 3 = (1/2) * (1/3) = 1/6.
So, the probability of rolling a dice and getting an even number and a number that is a multiple of 3 is 1/6.
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Answer:
5:27
Step-by-step explanation:
The cost of the dryer is $475 and the cost of the washer is $382.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a washer and a dryer cost $857 combined.
Let the cost of dryer be x.
The washer costs $93 less than the dryer.
Then, the cost of washer will be x-93
So, x+x-93=857
2x=857+93
2x=950
x=$475
x-93=475-93
= $382
Hence, the cost of the dryer is $475.
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Answer:
Dryer cost $475; Washer cost $382
Step-by-step explanation:
For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).
We are given the washer and dryer cost $857 together.
x + y = 857
We are also given that the washer cost $93 less than the dryer.
x = y - 93
So to find the cost of the dryer, we simply need to find the value of y.
x + y = 857
x = y - 93
( y - 93 ) + y = 857
2y - 93 = 857
2y = 950
y = 475
So now we have the value of the dry to be $475. We can check this by simply plugging in the value and see if it makes sense.
x + y = 857
x + 475 = 857
x = 382
And check this value:
x = y - 93
382 ?= 475 - 93
382 == 382
Therefore, we have found the values of both the washer and the dryer.
Cheers.
∠A ≅ ∠T . . . . given
AX ≅ TX . . . . given
∠AXM ≅ ∠TXH . . . . vertical angles are congruent
ΔAXM ≅ ΔTXH . . . . ASA theorem
MX ≅ HX . . . . CPCTC
___
The acronyms that invoke theorems based on two or three sides being congruent are inapplicable in this case.
SSS
SAS
Answer:
x= and
Step-by-step explanation:
(x - 5)^(2) +3(x-5)+9
(x - 5)^(2)= x2−10x+25
3(x-5)= 3x-15
x^2-10x+25+3x-15+9
x^2-7x+19=0
a=1 b=-7 c=19
use quadratic formula