Answer: 4
Step-by-step explanation:
Given the following :
P = probability of success = 0.5
n = number of trials = 8
The expected value of a binomial distribution with probability of success P and number of trials n is defined by:
E(n, p) = n * p
Therefore, expected value when P = 0.5 and n = 8
E(8, 0.5) = 8 × 0.5
= 4
The expected value of the binomial distribution is 4
The answer is 0 quarts.
Remember
1 gallon contains 64ounces
1 cup contains 8ounces
1 pint contains 16ounces
We know that 2 gallons (128oz total) are needed to fill the bucket.
First, Omar pours 64 ounces into the bucket so we have 128 - 64 = 64 ounces left to fill.
Second, Penny pours 8 cups which is the same as 64 ounces (8cups x 8 ounces = 64 ounces total) into the bucket.
Stop here and add up the water in the bucket.
The bucket has only 128 ounces capacity total which means Omar and Penny have filled up the bucket with 64 ounces each. 64 x 2 = 128 ounces
The bucket is full, Ronnie actually makes it overflow. So Sierra will pour 0 quarts of water into the bucket.
Answer:
It would be 1.5m+4 is greater than or equal to 7. This is because 1.5m is the regular rate of growth, plus the 4cm already grown. She wants the hair to be no shorter than 7cm. So, the 15m+4 has to be greater than the 7cm.
Step-by-step explanation:
Answer:
Milford location has a higher ratio of hamsters to gerbils.
Step-by-step explanation:
Given:
A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location.
At its Milford location, there are 13 hamsters and 16 gerbils.
Now, to find the location who has a higher ratio of hamsters to gerbils.
Ratio of hamsters to gerbils at Lanberry location = 5:10.
Ratio of hamsters to gerbils at Milford location= 13:16.
<em>So, 0.8125 > 0.50.</em>
<em>Thus, </em><u><em>13:16 > 5:10.</em></u><em> </em>
Therefore, Milford location has a higher ratio of hamsters to gerbils.
Hat means y + z = 180.
<span>y is thrice than z means y = 3 * z. </span>
<span>replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. </span>
<span>combine like terms to get 4 * z = 180. </span>
<span>solve for z to get z = 180 / 4 = 45 degrees. </span>
<span>since y = 3 * z, then y = 3 * 45 = 135 degrees. </span>
y = 135
<span>z = 45 </span>
y + z = 180 becomes 135 + 45 = 180
<span>y = 3 * z = 135 = 3 *45 </span>
<span>solution is confirmed to be good.</span>
