Answer:
Step-by-step explanation:
Using the distance formula, and (-3, -3) as (x1, y1) and (-6, 1) as (x2, y2), we obtain sqrt(9+16) = sqrt(25) = 5.
So, the distance between the two points is 5 units.
Answer:
$52.36
Step-by-step explanation:
We know
The price of a dress is reduced by 6.5% in a sale.
The original price of the dress was $56.
What is the sale price of the dress?
6.5% = 0.065
We take
56 - (56 · 0.065) = $52.36
So, the sale price of the dress is $52.36
12 min
24 min
The number of minutes that it will take for them to do the job together is:
To arrive at the correct answer, it is necessary to factor in the number of minutes worked by each individual. For that, we can assign them х and у.
So the number of hours worked by the person х is 21 minutes
and the number of hours worked by person у is 28 minutes
When they work together, they will spend:
Therefore;
Learn more about work done together here:
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Work Shown:
1/500 = 0.002 is the probability of winning $390
3/500 = 0.006 is the probability of winning $230
16/500 = 0.032 is the probability of winning $170
Multiply the probabilities with their respective winnings
0.002*390 = 0.78
0.006*230 = 1.38
0.032*170 = 5.44
Then add up those results
0.78+1.38+5.44 = 7.60
which is the expected value.
Side note: This game is not a fair game because mathematically a "fair game" is defined as such where the expected value is 0; ie, neither the player nor the dealer win and things break even.
Write the ratio
in its simplest form.
Answer:
7:8
Step-by-step explanation:
150 adults complete a survey.
80 are women
therefore 70 are male (150-80)
the ration would be 7:8
If it rains, then I use an umbrella, and if I use an umbrella, then it is raining.
a. If I use an umbrella, then it is raining.
b. If my umbrella is broken, then it is not raining.
c. I use an umbrella, if it rains.
d. I use an umbrella if and only if it rains.
Answer:
Your answer would be D.
I use an umbrella if and only if it rains.
Trust me on this it makes a lot of since