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son4ous [18]
2 years ago
5

What is the probability that out of 65 lambs born on Wooly Farm, at least 32

Mathematics
1 answer:
hammer [34]2 years ago
4 0
It’s probably choice c
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Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5? The differ
tamaranim1 [39]
<span>Let be A =a3b +9a2b2-4ab5, and B=a3b-3a2b2+ab5,so the difference can be defined as A - B =a3b +9a2b2-4ab5 -(a3b-3a2b2+ab5), when there is negative sign in front of the parathesis, all the inside signs must change: that is as follow: A- B= a3b +9a2b2-4ab5 - a3b + 3a2b2 - ab5= a3b-a3b +9a2b2+3a2b2-4ab5- ab5= 12a2b2 -5ab5, the fist term has 2+2=4, as a degree,the second term has 1 +5 =6, so the true answer : The difference is a binomial with a degree of 6</span>
6 0
2 years ago
Read 2 more answers
A lawyer owns 4 pairs of pants, 5 dress shirts and 6 ties. How many days can the lawyer go without wearing the same combination
stiv31 [10]
I believe that to calculate this, you do 4x5x6 and then divide it by 3, to get 40
3 0
2 years ago
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A child rides a pony on a circular track whose radius is 5.25 m. a) Find the distance traveled and the displacement after the ch
AlexFokin [52]

Answer:

a) distance halfway = 16.49 [m], displacement halfway = 10.5 [m]

b) distrance traveled increases when the child completes one circuit of the track.

Step-by-step explanation:

a) Distance is a scalar quantity that tells you how much space a body has covered when moving. Displacement is a vector quantity that tells you how far from its initial position and object is after moving.

In this case, the child goes around the track only halfway from point 1 to point 2. We know the circunference or perimeter of a circle to be 2*PI*radius. We also know the child only when halfway, so we need to divide the perimeter by 2, thus we get distance = PI*radius

  • distance halfway = (PI)*(5.25) = 16.49 [m]

And now that we know the definition of displacement, we can easily see that the child went from point 1 to point 2 which is located at a distance of 1 diameter from point 1:

  • displacement halfway = D = 2*radius = 2(5.25) = 10.5 [m]

b)What happens to the distance when the child completes one circuit? The distance will increase beause he is now completing the circuit so he is covering more ground in his movement:

  • distance circuit = 2*(PI)*radius = 2(PI)(5.25) = 32.99 [m]

32.99 is more than 16.49 so we are certain that the distance increases.

3 0
2 years ago
The average annual cost of the first year of owning and caring for a large dog is $1,843 (US News and World Report, September 9,
ICE Princess25 [194]

Answer:

a. Error is 0.14

b. between 1913.68 to 1772.32

Step-by-step explanation:

Requirement a)

The margin of error is a statistic expressing the amount of random sampling error in a survey's results.

Given,

Size of the sample n = 50

We know, At 95% confidence interval,

The margin of error,

= 0.98/√n  

= 0.98/√50

= 0.98/7.07

= 0.13859 ~ 0.14

So the margin of error at 95% confidence level is 0.14.

Requirement b)

Given,

Standard deviation σ = 255

Population mean z = 1814

Size of the sample n = 50

We know, At 95% confidence interval,

(z-µ)/(σ/√n)  < Z_0.05

= - Z_0.05 < (z-µ)/(σ/√n) < Z_0.05

= - 1.96 * σ/√n < (z-µ)/(σ/√n)*  σ/√n  < 1.96 * σ/√n  [ in two tail Z test the value of Z_0.05 is 1.96 ]

= - 1.96 * 255/√50 < Z-µ <  1.96 * 255/√50

= -70.6828 < Z-µ < 70.6828

= 70.6828 > µ - Z > -70.6828

= 70.6828 + Z > µ > -70.6828 + Z

= 70.6828 + 1814 > µ > -70.6828 + 1814

=1913.68 > µ > 1772.32

So, the sample mean would be between 1913.68 to 1772.32.

7 0
2 years ago
What is the following quotient 3 sqrt 8/ 4 sqrt 6
adell [148]
We have that
(3√8)/(4√6)

we know that
√8---------> √(2³)-----> 2√2
so
(3√8)/(4√6)=(3*[2√2])/(4√6)---> 6√2/(4√6)
√6=√(2*3)---> √2*√3
6√2/(4√6)=6√2/(4√2*√3)----> 6/(4√3)----> 6/(4√3)*(√3/√3)-----> 6√3/(4*3)----> √3/2

the answer is
√3/2

7 0
2 years ago
Read 2 more answers
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