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2 years ago

What number comes next 16, 06, 68, 88,

Mathematics

1 answer:

inessss [21]2 years ago

4 0

So the given series is "16, 06, 68, 88, __"

Count all the cyclical opening in each of these numbers. For example in 16, there is a one cyclical loop present in it(the one in 6), similarly in 06 it is two(one in zero and one in 6), going ahead, in 68 it is 3(one in 6 and two in 8).

From here on things become simple: hence, the cyclical figures in these equations written down becomes 1,2,3,4,_,3.

Let's now try solving the above sequence, going by the logical reasoning the only number that can fill in the gap should be 4.

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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

The graph shows the distance Kendrick walks in different lengths of time.

Vlad1618 [11]

Answer:

1) 5

2) 0.2

Step-by-step explanation:

The complete question is attached below.

The x-axis represents the time in hours and y-axis represents the distance in kilometers.

The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.

The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:

Kendrick walks 5 kilometers in 1 hour.

In next part, we have to find how much time Kendrick takes to walk 1 kilometer.

Since, we know that:

Kendrick walks 5 kilometers in time = 1 hour

Dividing both sides by 5, we can write:

Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour

So, Kendrick takes 0.2 hours to walk 1 kilometer.

7 0

1 year ago

Read 2 more answers

A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount.

svp [43]

2,070mg 86%
— = —
? mg 100%

Cross multiply (2,070 X 100) which equals 207,000

Then divide 207,000 by 86 which equals
2,406.976

Then you round so you get 2,407

The Answer is 2,407 milligrams

5 0

2 years ago

Function f is a cosine function with period 8π, amplitude 3, and a local maximum at f(0) = –3. What is the equation of the midli

alisha [4.7K]

Answer:

y = 0

Step-by-step explanation:

Since there is no indication of a shift in the graph of f(x) = 3cos(-0.25x), then the midline must be the normal midline for a cosine or sine function which is: y = 0.

8 0

2 years ago

Read 2 more answers

Evaluate the expression. P(9, 3) · P(5, 4)

boyakko [2]

Answer:

$P(9,3) *P(5,4)$