Answer:
• V = x(11 -2x)(16 -2x)
• x ≈ 2.1 in
Step-by-step explanation:
a) The volume of the box is the product of its depth (x), width (11 -2x) and length (16 -2x). The equation can be simply ...
v(x) = x(11 -2x)(16 -2x)
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b) A graphing calculator can plot this equation directly. All that is needed is to enter it into the appropriate space provided by the calculator. The value of x that gives the greatest volume is the value that makes the function have a local maximum between x=0 and x=5.5 (where the volume is again zero).
That value of x is about 2.1 inches.
Using the simple interest formula, the interest paid for the loan of $7890 at 11.5% for a term of 5 years will be:
S.I=(PRT)/100
S.I=(7890×11.5×5)/100
=$4536.75
Answer:
a) 0.586
b) 0.846
c) We are more likely to select a sample of 22 woman with a mean height of 64.9 inches.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 64.4 inches
Standard Deviation, σ =2.3 inches
We are given that the distribution of height of woman is a bell shaped distribution that is a normal distribution.
Formula:
a) P(selecting 1 woman with a height less than 64.9 inches)
P(x < 64.9)
Calculation the value from standard normal z table, we have,
b) P(selecting 22 woman with a height less than 64.9 inches)
Standard error due to sampling =
P(x < 64.9)
Calculation the value from standard normal z table, we have,
c) Since,
P(selecting 22 woman with a height less than 64.9 inches) > P(selecting 1 woman with a height less than 64.9 inches)
We are more likely to select a sample of 22 woman with a mean height of 64.9 inches.
Answer:
Step-by-step explanation:
No, because Bernie had to run 9 meters 7.77777778 time (70/9) and each of those 9-meter sections took 4 seconds, so her time was 31.1111111 (7.77777778*4). While Wendel had to run 61 meters 70-his headstart (9 meters) (70-9). So he only had to run 30.5 blocks of 2 meters (61/2). And since they're only 1 second long, it's 30.5*1=30.5.
So the answer is a NO because (Bernie) 31.1111111 seconds > 30.5 seconds (Wendel).
Answer:
If you rotate the triangles so that they look the same, one side of both of them are labeled. This gives you the fraction 9/12, or 3/4. The smaller triangle is 3/4th of the larger one. If the larger triangle has 4 on one side, then let's make the equation 3/4 = y/4. The length of y is 3. :)