A box of detergent is on sale for $6.50, if this price is 40% discount from the original price to the nearest cent.

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

Is the cordinates (2,4) (5,0) (6,8) (9,2) (11,6) functional?

Dmitrij [34]

Yes this is a function

The reason why is because the x coordinates do not repeat. Each x value maps to exactly one y value. For any input, there is exactly one output. If you were to graph all of these points, then the graph would pass the vertical line test.

If we had something like (2,4) and (2,0) then the input x = 2 would lead to multiple outputs (y = 4, y = 0) which would not make it a function; however we don't have any repeated x values here.

6 0

3 years ago

Read 2 more answers

Help :(

Galina-37 [17]

Answer:

59.7

Step-by-step explanation:

you divide 39.80 by 10

then times it with 15 and get your answer

7 0

3 years ago

Please HELP For the function,f(x)=-2x^2, find f(-3)

Amanda [17]

Answer:

-18

Step-by-step explanation:

F(x)=-2x^2

f(-3) means substitute x with -3

= -2(-3)^2

= -18

Please rate brainliest

3 0

4 years ago

A pie crust recipe calls for 2 cups of butter for each 3 cups of flour. Elliette is making enough crust to use up 8 cups of flou

VARVARA [1.3K]

5.3 to be exact but does it say you round up in the problem? Cause then I’d put 5.5 cups or 6

8 0

3 years ago