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2 years ago

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In his free time, Gary spends 13 hours per week on the Internet and 11 hours per week playing video games. If Gary has five hour

s of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?

1 answer:

kotegsom [21]2 years ago

5 0

Bob, bob it always the answer

You might be interested in

According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will

dsp73

Answer: 0.31

Step-by-step explanation:

Let A denotes the event of Tampa Bay Buccaneers will score a touchdown on their opening drive and B denote the event that their defense will have 3 or more sacks in the game.

Given : P(A)=0.14 P(B) = 0.31 P(A or B)=0.14

Formula : P(A and B)= P(A) + P(B) - P(A or B)

Now, the probability that they will both score a touchdown on the opening drive and have 3 or more sacks in the game will be :-

P(A and B)= 0.14 + 0.31 - 0.14=0.31

Hence, the required probability : 0.31

7 0

2 years ago

Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four piec

jeka94

Answer:

a) Y 0 1 2

P(Y) 0.58 0.23 0.11

b) mean= 0.45, S.D= 0.6718

c) mean= 1.285, S.D= 8.74

Step-by-step explanation:

a) The following table shows the probability distribution of X:

X 0 1 2 3 4 or more

P(X) 0.58 0.23 0.11 0.05 0.03

Defect >2 = cannot be sold

Y = the number of defects on a fat quarter that can be sold by Company F.

Y = defect that can be sold

Y = Defect less or equal to 2 = 0,1,2

Probability distribution of the random variable Y:

Y 0 1 2

P(Y) 0.58 0.23 0.11

b) mean of Y (μ)

μ = Σ x*P(Y)

= (0*0.58) +(1*0.23)+(2*0.11)

= 0+0.23+0.22 = 0.45

Standard deviation of Y = σ

σ = Σ√(x-mean)^2*P(Y)

= Σ√[(x- μ )^2*P(Y)]

= √[(0-0.45)^2*0.58+ (1-0.45)^2*0.23 + (2-0.45)^2*0.11]

= √[0.11745 + 0.069575 +0.264275

= √(0.4513

σ = 0.6718

Company G:

σ for defect that be sold = 0.66

μ for defect that be sold = 0.40

Difference between μ of F and μ of G

= 0.45-0.40 = 0.05

Difference between σ of F and σ of G

= 0.67-0.66 = 0.01

Selling price of fat quarter without defect = $5

Discount per defect = $1.5

Selling price per defect = 5-1.5 = $3.5

Discount per 2 defect = $1.5*2 = $3

Selling price per defect = 5-3 = $2

Since defect to be sold cannot be greater than 2, let Y = 5,3,2

Probability distribution of the selling price Y:

Y 5 3 2

P(Y) 0.58 0.23 0.11

μ = (5*0.58) +(3.5*0.23)+(2*0.11)

μ = 2.9+0.805+0.22 =1.285

σ = Σ√[(x- μ )^2*P(Y)]

σ = √[(5-1.285)^2*0.58+ (3-1.285)^2*0.23 + (2-1.285)^2*0.11]

σ = 8.00+0.68+0.06 = 8.74

7 0

2 years ago

A bakery uses 70% of its milk in one week. They now have 36 quarts of milk left. The bakery started the week with how many quart

PIT_PIT [208]

The bakery starts a week with 100% quarts of milk.
In the course of the week they use 70%, meaning the remainder is 30% quarts of milk.
Therefore, the remaining quarts are equivalent to 30%
thus, 36 = 30% to get 100% ;
(36/30) ×100 = 120
Therefore, the bakery started the week with 120 quarts of milk

5 0

2 years ago

ΔABC is a right triangle. Prove: a2 + b2 = c2 Right triangle BCA with sides of length a, b, and c. Perpendicular CD forms right

777dan777 [17]

Answer: Pythagorean Theorem Pieces of Right Triangles is not a justification for the proof.

Explanation : Here, $\triangle ABC$ is a right triangle with sides a, b and c. Perpendicular CD forms right triangles BDC and CDA.

CD measures h units, BD measures y units, DA measures x units.

Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b, segment AB = c, segment CD = h, segment DB = y, segment AD = x,

y + x = c

a/c=y/a( Similarity theorem in triangles ABC and DBC )

$a^2 = cy$ ------(1) (Cross Product Property)

Similarly, $b^2 = cx$ (Similarity theorem in triangles ABC and ADC)---------(2)

$a^2 + b^2 = cy + cx$ (after adding equation (1) and (2) )

$a^2 + b^2 = c(y + x)$ ( By additional property of equality)

$a^2 + b^2 = c^2$ . ( because y + x=c)

Thus, it has been proved that except Pythagorean Theorem Pieces of Right Triangles we use all other properties.

8 0

2 years ago

Read 2 more answers

What is the value of s to the nearest whole number?<br> a) 13<br> b) 12<br> c) 14<br> d) 10

marysya [2.9K]

Given:

In given Δ RST,

RS = 9, ST = 8 and ∠S = 110°

To find the value of another side RT (s).

Formula

By cosine law we get,

$a^{2} =b^{2} +c^{2} -2bc( cos(A))$

Now,

Putting,

b=9, c=8, A = 110° and a=s we get,

$s^{2}=9^{2} +8^{2} -2(9)(8)(cos110^\circ)$

or, $s^{2} =81+64-2(9)(8)(-0.342)$

or, $s^{2}= 194.248$

or, $s = \sqrt{194.248}$

or, $s = 13.93$

or, $s=14$

Hence,

The value of s is 14. Option C.

5 0

1 year ago