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Fofino [41]
2 years ago
5

You are playing a board game with a spinner that has numbers 1, 2, 3, and 4 on

Mathematics
1 answer:
Whitepunk [10]2 years ago
6 0

Answer:

1/4

Step-by-step explanation:

Let x = number the spinner lands on

P(X = 1) = 1/4

P(X = 2) = 1/4

P(X = 3) = 1/4

P(X = 4) = 1/4

The spins are independent events as their probabilities are not affected by whether or not the other event happens

Therefore, the probability that you land on a number 2 given that your first spin landed on number 1 is still 1/4

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Which statement is true regarding the diagram of circle P? The sum of y and z must be 2x. The sum of y and z must be One-halfx.
Klio2033 [76]

Answer:

The difference of z and y must be 2x.

5 0
3 years ago
If f(x) = 2x^2 + 2, find f(5)
zlopas [31]

Well, following the order of PEMDAS, I got choice B. 52

For instance, when you plug in 5 for x, you get F(5)=2(5)^2+2.

Moreover, following PEMDAS, you're supposed to solve what's inside the parenthesis, but since there is no operation going on inside the parenthesis, then you simple move on to the exponent.

In this case, you square the number 5, which gives you F(5)=2(25)+2

After that, you Multiply (letter M in PEMDAS). This results in F(5)=50+2.

Finally, you add them, which results in F=52.


By the way, I noticed a mistake in your work. When multiplying 2 by 5, the answer is 10, not 20.

Anyway, hope this helped! :-)  

8 0
4 years ago
Please help I have spent hours trying to do...
Igoryamba

Answer:

  1. 914.4 mm
  2. 0.0479594 km

Step-by-step explanation:

For units conversion, use a conversion factor ratio with the units you do want in the numerator and the units you don't want in the denominator. The numbers in the numerator and denominator give the ratio a value of 1: the numerator is equal to the denominator--just in different units.

__

1. For feet to mm, you need a couple of additional conversion factors besides the ones shown:

  1 foot = 12 in

  1 cm = 10 mm

So, the conversion is ...

  (3\text{ ft})\times\dfrac{12\text{ in}}{1\text{ ft}}\times\dfrac{2.54\text{ cm}}{1\text{ in}}\times\dfrac{10\text{ mm}}{1\text{ cm}}=3\times12\times2.54\times10\text{ mm}\\\\=\boxed{914.4\text{ mm}}

__

2. The additional factor you need for this problem is ...

  1 mile = 5280 feet

So, the conversion is ...

  (157\text{ ft})\times\dfrac{1\text{ mi}}{5280\text{ ft}}\times\dfrac{1\text{ km}}{0.62\text{ mi}}=\dfrac{157}{5280\times0.62}\text{ km}\\\\\approx\boxed{0.0479594\text{ km}}

_____

<em>Additional comment</em>

You can use Google to do units conversion by typing "3 feet to mm" or "157 feet to km". However, the conversion factor for the latter will be more exact than the one given in this problem. Hence the Google answer to the second question will not be applicable here.

7 0
3 years ago
Y(x) = e^x+rx+sx^2 satisfies y'' − y' = 5x if r=? and s=?
motikmotik

Answer:

5

Step-by-step explanation:

3 0
3 years ago
Find the difference: 7 7/8 - 3 1/4
DIA [1.3K]
In order to subtract mixed fractions, we must convert them into improper fractions first. To do this simply multiply the whole number by the denominator and add the numerator. The product of this operation will be the new numerator (the whole number is no longer present).

(56 + 7)/8 - (12 + 1)/4
= 63/8 - 13/4

Now that we have our fractions in improper form, we must find the least common denominator which is 8. To avoid changing the value of the second fraction, multiply both the numerator and denominator by 2 (which is essentially 2/2 which equals to 1).

63/8 - 26/8
= 37/8
8 0
3 years ago
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