Answer:
80
Step-by-step explanation:
Think of it as a Venn diagram. One circle is the people who like dogs, and one circle is the people who like cats. The overlap is people who like both dogs and cats.
190 people in the survey said they like dogs. That includes the people who like both dogs and cats.
141 people in the survey said they like cats. That includes the people who like both dogs and cats.
If we simply add the two numbers together, we'll be counting the overlap twice. So to find the total number of people who like dogs or cats, we have to subtract one overlap.
dogs or cats = 190 + 141 − x
Therefore:
190 + 141 − x + 88 = 339
419 − x = 339
x = 80
80 people said they liked both cats and dogs.
First we'll substitute 
with 
Then we can separate this.
Then we'll solve this.
Then we'll plug in to find the extraneous solutions (if any)
<h3>
Answer: Quadrilateral</h3>
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Explanation:
Of your original given list, let's write down the parallelograms. They are:
- Parallelogram
- Rectangle
- Rhombus
- Square
So we cross those off the list since we want a quadrilateral with no sides parallel. A parallelogram, by definition, is a quadrilateral with both pairs of opposite sides that are parallel.
We can also rule out the trapezoids because a trapezoid is a four sided figure (quadrilateral) where we have exactly 1 pair of parallel sides, while the other sides are not parallel.
Lastly, we can rule out the kite because any kite has perpendicular diagonals.
The only thing left is quadrilateral. In my opinion this answer should be more specific and say "quadrilateral that isn't a parallelogram, a trapezoid, or a kite", but I think I see what your teacher was going for here.
Answer:
If you want to find the probability of picking out a certain colored marble after you have already picked one out, then the probability changes, because now the total number of marbles you have is 32 instead of 33, and the probability of the color you could pick out can change depending on what marble you picked out first.
For example, if you want to know the probability of picking out an orange marble the second time, and you didn't pick out a orange marble the first time, then you still have 10 orange marbles, but now you have 32 total marbles, so the probability will be 10 out of 32 instead of 10 out of 33. But if you picked out 1 orange marble already, and you didn't put it back in, then you will have a probability of picking out 9 out of 32 because there are 9 orange marbles left.
In short: If you pick a marble out the first time and then put it back in the pile before your friend picks one out, then the probability of picking a marble of a certain color will be the same the second time as the first time because there will still be the same number of marbles with the same number of the same colored marbles as the first time, but if you don't put the marble back in, then the probabilities will change.
Step-by-step explanation:
Answer:
<h3>The answer is 5.7 %</h3>
Step-by-step explanation:
To find the rate given the principal , time and interest , we use the formula
where
p is the principal
t is the time
I is the interest
From the question
Principal = $1,250
Time = 4 years
Interest = $285
We have
We have the final answer as
<h3>5.7 %</h3>
Hope this helps you
