Pr(X>1540.2) = 0.0655. Step-by-step explanation: The expected value indicated for the large bottle is E(Large) = 1016, and for the small bottle, E(small) = 510. This leads to an expected total E(total) = 1016 + 510 = 1526. The new mean calculated is thus 1526. To find the standard deviation, we derive the variance of each bottle. The variance for the large bottle is v(large) = 8^2 = 64, while for the small bottle it's v(small) = 5^2 = 25. Hence, the total variance is v(total) = 64+25 = 89, resulting in a new standard deviation sd(new) = sqrt(89) = 9.434. To find the probability, we compute using the new mean and standard deviation. The z score is derived as z = (x - mean)/sd = (1540.2 - 1526)/9.434 = 1.505. Looking up this z score gives P(z<1.51) = 0.9345. Consequently, for x > 1540.2, we have P(z > 1.51) = 1 - 0.9345 = 0.0655.
Answer:
A histogram will be utilized to illustrate the right wrist size of the random sample of newborn infants.
Step-by-step explanation:
A histogram serves as a visual representation of the frequency distribution present within the sample. Given that wrist circumference can take on positive real number values, a histogram with defined class boundaries can be constructed to display the overall distribution of wrist sizes in the graph.
Furthermore, as this distribution is continuous in nature, a histogram proves to be a fitting choice compared to either a bar graph or a stem-and-leaf plot.
Indeed, Maddie1261, it can be represented as both an improper fraction and a mixed number. Steps: Set the decimal as "x"; this simplifies the process of temporarily ignoring the 2. Multiply the entire equation by the relevant place value; I used 100 since the first 6 is in the hundredths. Then simplify and perform the subtraction. Lastly, solve the equation to find that the improper fraction form of 2.161616 is

, and as a mixed number, it is

.
Answer:
The speed is 2 1/2 miles per hour.
Step-by-step explanation:
To determine the rate, divide the distance by the time taken.
5/8 mile ÷ 1/4 hour
Applying the copy dot flip method:
5/8 * 4/1
Gives us 5/2 miles per hour.
Which simplifies to 2 1/2 miles per hour.
1 added to 3 results in 4
Your result is 4