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Rasek [7]
3 years ago
10

In 2009, the American Time Use Survey found that the average American spends 2.8 hours a day watching TV. Suppose the standard d

eviation is 1.5 hours and that TV time is normally distributed. If you are in the upper 10% of all TV watchers, at the minimum, how many hours do you watch on a typical day
Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0

Answer:

4.72 hours/day

Step-by-step explanation:

Mean time spent watching TV (μ) = 2.8 hours a day  

Standard deviation (σ) = 1.5 hours a day

The 90th percentile (upper 10%) of a normal distribution has an equivalent z-score of roughly z = 1.282. The minimum time spent watching TV, X, at the 90th percentile is:

z=\frac{X-\mu}{\sigma} \\1.282=\frac{X-2.8}{1.5}\\ X=4.72\ hours/day  

On a typical day, you must watch at least 4.72 hours of TV to be in the upper 10%.

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C(25,10)<br> Find permutation and combination
Verizon [17]

C(25,10)= 3268760

P(25,10)=11861676288000

hope it helps but these are very big numbers :d

6 0
3 years ago
Determine
mihalych1998 [28]

Answer:

=4.+2.

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector \vec b is a linear combination of \vec a_1 and \vec a_2 if there are two scalars x_1, x_2 such as

\vec b=x_1\vec a_1+x_2\vec a_2

In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

\vec a_1=,\ \vec a2=,\ \vec b=

We set the equation

=x_1.+x_2.

Multiplying both scalars by the vectors

=+

Equating each coordinate, we get

4x_1-4x_2=8

5x_1+3x_2=26

-4x_1+3x_2=-10

Adding the first and the third equations:

-x_2=-2

x_2=2

Replacing in the first equation

4x_1-4(2)=8

4x_1=8+8

x_1=4

We must test if those values make the second equation become an identity

5(4)+3(2)=20+6=26

The second equation complies with the values of x_1 and x_2, so the solution is

=4.+2.

8 0
3 years ago
-17 + 5x = 5(x - 5) + 8<br> i need step by step solution pls asap
Masja [62]

Answer:just subtract 8 from both sids then add 17 to both then do the dam probkemits ez

Step-by-step explanation:dddddddd

6 0
3 years ago
A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s
inysia [295]

Answer:

The height is 2 units

Step-by-step explanation:

Find the area of the base of the square pyramid

we know that

The volume of the square pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the base and H is the height of the pyramid

we have

H=6\ units

V=70\ units^{3}

substitute in the formula and solve for B

70=\frac{1}{3}B(6)

B=70/2=35\ units^{2}

step 2

Find the height of the square prism

we know that

The volume of the square prism is equal to

V=Bh

where

B is the area of the base and h is the height of the prism

we have

B=35\ units^{2}

V=70\ units^{3}

substitute in the formula and solve for h

70=(35)h

h=2\ units

3 0
3 years ago
Read 2 more answers
Solve for x with an explanation pls
Tatiana [17]

Answer: 9

Step-by-step explanation:

Use Pythagorean's Theorem for a right triangle.

a^2+b^2=c^2

(\sqrt{63}) ^2+x^2=12^2\\63+x^2=144\\x^2=81\\x=9

6 0
3 years ago
Read 2 more answers
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