There are 5280 feet in one mile.
So, you need to change the miles to feet.
1.5 x 5280 = 7920.
7920 > 3520
So, Ashley lives closer.
Hope this Helped!!!
Answer: 1/5 or 20%
Step by Step Explanation:
Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.
Formula: Number of outcomes divided by Favorable Outcomes
Answer:
<u>3/40</u>
Step-by-step explanation:
Probability (Quarter 1st) :
⇒ Number of quarters / Number of coins
⇒ 5 / 9 + 3 + 8 + 5
⇒ 5/25
⇒ 1/5
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The coin is not replaced.
Probability (Penny 2nd) :
⇒ No. of pennies / Total - 1
⇒ 9 / 25 - 1
⇒ 9/24
⇒ 3/8
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Probability (both) :
⇒ 1/5 × 3/8
⇒ <u>3/40</u>
To help solve this problem, we can use a simple equation.
32 + x = 208. Subtract 32 from both sides.
x = 176.
32 + 176 = 208
Answer:
1/2, 3
Step-by-step explanation:
This is a pretty involved problem, so I'm going to start by laying out two facts that our going to help us get there.
- The Fundamental Theorem of Algebra tells us that any polynomial has <em>as many zeroes as its degree</em>. Our function f(x) has a degree of 4, so we'll have 4 zeroes. Also,
- Complex zeroes come in pairs. Specifically, they come in <em>conjugate pairs</em>. If -2i is a zero, 2i must be a zero, too. The "why" is beyond the scope of this response, but this result is called the "complex conjugate root theorem".
In 2., I mentioned that both -2i and 2i must be zeroes of f(x). This means that both and are factors of f(x), and furthermore, their product, , is <em>also</em> a factor. To see what's left after we factor out that product, we can use polynomial long division to find that
I'll go through to steps to factor that second expression below:
Solving both of the expressions when f(x) = 0 gets us our final two zeroes:
So, the remaining zeroes are 1/2 and 3.