Multiply the following Polynomial Expressions. ( 3x2

Frankie descends 56 ft in 4 minutes. what is frankies average change in position per minute from which he started.

ArbitrLikvidat [17]

Answer:

14?

Step-by-step explanation:

6 0

4 years ago

For each sequence, determine whether it appears to be arithmetic, geometric, or neither.

Art [367]

Step-by-step explanation:

1. 2, 4, 6, 8, ...

This sequence has a common difference (+ 2). So it is arithmetic.

2. 9, 16, 25, 36, ...

This sequence has neither a common difference nor a common ratio.

3. 64, 32, 16, 8, ...

This sequence has a common ratio (× ½). So it is geometric.

7 0

3 years ago

Assume that the weights of individuals are independent and normally distributed with a mean of 160 pounds and a standard deviati

Ilia_Sergeevich [38]

Answer:

a) $\bf 0.3446^{25}=2.7095*10^{-12}$

b) 3,624.25 pounds

Step-by-step explanation:

a)

Since 4300/25 = 172, in average every single person should weight 172 pounds to exceed the design limit.

The probability that one person weights 172 pounds or more is the area under the Normal curve with mean 160 pounds and standard deviation 30 pounds to the right of 172.

In Excel and OpenOffice Calc, this value is found with the formula

=1-NORMDIST(172;160;30;1)

(NORMDIST(172;160;30;1) gives the area to the left of 172, so 1-NORMDIST(172;160;30;1) gives the area to the right of 172)

and equals 0.3446

(see picture 1)

Hence, the probability that all the 25 people exceeds 172 pounds equals

$\bf 0.3446^{25}=2.7095*10^{-12}$

b)

Similarly, we must find a weight w such that if p is the area to the left of w, then

$\bf p^{25}>0.0001$

so

$\bf p=\sqrt[25]{0.0001}=0.6918$

w would be the point such that the area under the Normal curve with mean 160 pounds and standard deviation 30 pounds to the right of w equals 0.6918.

In Excel and OpenOffice Calc this is found with

=NORMINV(1-0.6918;160;30)

and equals 144.97 pounds

(See picture 2)

and the design limit that is exceeded by 25 occupants with probability 0.0001 is 25*144.97 = 3,624.25 pounds

6 0

4 years ago

Show all work and reasoning

Natalija [7]

Split up the interval [2, 5] into $n$ equally spaced subintervals, then consider the value of $f(x)$ at the right endpoint of each subinterval.

The length of the interval is $5-2=3$ , so the length of each subinterval would be $\dfrac3n$ . This means the first rectangle's height would be taken to be $x^2$ when $x=2+\dfrac3n$ , so that the height is $\left(2+\dfrac3n\right)^2$ , and its base would have length $\dfrac{3k}n$ . So the area under $x^2$ over the first subinterval is $\left(2+\dfrac3n\right)^2\dfrac3n$ .

Continuing in this fashion, the area under $x^2$ over the $k$ th subinterval is approximated by $\left(2+\dfrac{3k}n\right)^2\dfrac{3k}n$ , and so the Riemann approximation to the definite integral is

$\displaystyle\sum_{k=1}^n\left(2+\frac{3k}n\right)^2\frac{3k}n$

and its value is given exactly by taking $n\to\infty$ . So the answer is D (and the value of the integral is exactly 39).

8 0

4 years ago

If you have 60 and get 45 as discount how much the percentage

WINSTONCH [101]

Let x% be the percentage
60×(1-x%)=45
1-x%=0.75
x=25%

7 0

4 years ago

Multiply the following Polynomial Expressions. ( 3x2 - 4x + 5) (x2 + 2x + 3)