Given:
The inequalities are:
To find:
The integer values that satisfy both inequalities.
Solution:
We have,
For , the possible integer values are
...(i)
For , the possible integer values are
...(ii)
The common values of x in (i) and (ii) are
Therefore, the integer values -1, 0 and 1 satisfy both inequalities.
Answer: All of thé above
Step-by-step explanation:
<h3>
Answer: D. 5 blinks</h3>
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Explanation:
First we'll need to find out how long it takes for the ball to go from the pitcher to the batter.
It needs to travel 60.5 feet and does so at a speed of 121 ft/sec
distance = speed*time
time = distance/speed
time = (60.5 ft)/(121 ft per sec)
time = 0.5 seconds
In half a second, the ball is from the pitcher to the batter.
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An eye blink is 0.1 second which means we can form this equation
0.1 second = 1 blink
We multiply both sides by 5 to get the "0.1 second" to turn into "0.5 seconds".
So,
0.1 second = 1 blink
5*(0.1 second) = 5*(1 blink)
0.5 seconds = <u>5 blinks</u> which points us to choice D.
Hello! We know that we have $400. So 23 ten dollar bills is equal to $230. How? We multiply 23 x 10 and get $230. Then, we have 46 dimes. A dime is worth 10 cents so we multiply 46 x 10 which equals $4.60. And of course we have the 19 cents. Now we add. 400 + 230 + 4.60 + 19 = $653.6.
Hope this Helps!
Answer:
The expected number of times is 4.
Step-by-step explanation:
Looking at the question, we see that this follows a geometric distribution because it is asking for the expected number of trials hat will bring about the FIRST SUCCESS. The probability of success is
Since it is a geometric distribution, we know that the expected value of a random variable X, E(X) that follows a geometric distribution is given as:
E(X) = 1/p where p is the probability of success.
Therefore, the expected number of times will be
E(X) = 1/(1/p) = 1/(1/4) = 4.
Hence, the expected number of times is 4.
