Use the figure for exercises 1-4

Name the intersection of plane S and line j

Answer:

[tex]\frac{1}{524160} or 1.910^{-6}[/tex]

Step-by-step explanation:

In order to solve this, you would need to multiply the probability of you choosing the one that goes first, so 1 in 16 discs, then the next one so 1 in 15, and so on untill the fifth disc.

So you would have to do this:

[tex](\frac{1}{16})(\frac{1}{15})(\frac{1}{14})(\frac{1}{13})(\frac{1}{12})\\\frac{1}{524160}[/tex]

That is the probability that the rack ends up in alphabetical order, if you pull discs randomly, 1 in 524160 chances.

Probabilities are used to determine the chances of an event.

The probability that the rack ends up in alphabetical order is [tex]\mathbf{ \frac{1}{524160}}[/tex]

The given parameters are:

[tex]\mathbf{CD = 16}[/tex]

[tex]\mathbf{r = 5}[/tex] -- CDs to arrange

So, the total number of arrangements of 5 CDs from the 16, is:

[tex]\mathbf{Total = ^{16}P_5}[/tex]

Apply permutation formula

[tex]\mathbf{Total = \frac{16!}{(16 - 5)!}}[/tex]

This gives

[tex]\mathbf{Total = \frac{16!}{11!}}[/tex]

Expand

[tex]\mathbf{Total = \frac{16 \times 15 \times 14 \times 13 \times 12 \times 11!}{11!}}[/tex]

[tex]\mathbf{Total = 16 \times 15 \times 14 \times 13 \times 12 }[/tex]

[tex]\mathbf{Total = 524160}[/tex]

There is only one possibility of the CDs being in alphabetical order.

So, the probability is:

[tex]\mathbf{Pr = \frac{1}{524160}}[/tex]

Hence, the probability that the rack ends up in alphabetical order is [tex]\mathbf{ \frac{1}{524160}}[/tex]

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The percentage increase for flight tickets to fly from orlando to hartford would be = 67.5% and 92.5% when there is an additional $50 to the new price.

Percentage increase is defined as the rise in the quantity or amount for an object which is converted into percentage.

The formula for percentage increase would be = increase ÷ original amount × 100

The increase of the cost = 335 - 200 = $135

The original amount = $200

The percentage increase = 135/200 × 100

= 13500/200 = 67.5%

But if the increase in cost is 135 + 50 = $185

The percentage increase of the new cost would be;

= 185/200 ×100

= 18500/200

= 92.5%

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Answer:

hmm easy peasy

Step-by-step explanation:

C

C is the only answer with the square root thats a whole number while the rest of the answers ' square roots are not whole number answers and the numbers after the decimal go on forever  making it an irrational number. Also, for B, pi is not a rational number.

Answer:

I would study more, dedicate more time. I would NOT give up at all. Take constant breaks to reset your brain. Do practice problems and more.

Step-by-step explanation:

Answer:

Not equal to.

Step-by-step explanation:

Answer:

qualitative nominal

Step-by-step explanation:

The data collected while examining the species of butterflies present in a particular area which are represented using Latin names is a non-numeric data type is aimed at separating or making distinction among the species available. These types of data used in classification are called Qualitative variables.

Also, the data is nominal and not ordinal, this is because there is no sort of order or ranking in the groups or species names. Qualitative variables in which does not posses ordering or ranking in the categories are represented on the nominal scale. Whose which implies order or rank are represented on the ordinal scale.

Answer:

Callie has 4 months to pay off the bill. The rational number is +4. The sign is positive because it represents a quantity of something, in this case, months.

Step-by-step explanation:

this is correct...

trust me :)

The sign is positive because it represents a quantity of something, in this case, months.

Callie has 4 months to pay off the bill.

The rational number is +4.

A number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

The sign is positive because it represents a quantity of something, in this case, months.

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Answer:

C

Step-by-step explanation:

Please mark brainliest

Answer:

38.48

Step-by-step explanation:

Answer:

[]line

[]plane

[]line segment

BRAIN MEH

Answer:

Step-by-step explanation:

First solve the inequality by writing it.

-4s < 6s + 1

Now subtract -1 on both sides.

-4s - 1 < 6s

Now add 4s on both sides to combine like terms.

-1 < 10s

Now divide 10 on both sides.

-0.1 < s

Now flip it over properly.

s > -0.1

Hope this helped! <3

Answer: C

Step-by-step explanation:The top producing states are Texas, Oklahoma, New Mexico, Wyoming, and Louisiana, which produce more than 50 percent of U.S. natural gas.

Answer:

Your answer is C

Answer:

-2

Step-by-step explanation:

Y = mx+c

M here being the number in front of x

Answer:

bar graph

pie chart

histogram

Step-by-step explanation:

I think D represents the height, i don't know that for sure but yoy can try?

Answer:

Well d because there is a line going from bottom to top of the cone next to the D

Step-by-step explanation:

Answer:

I think its 117.76 meters

Step-by-step explanation:

you multiply the 46 x 3 then you get 138 yellow ribbon then 138 + 46 then its 184 then 184 x 6 = 11776

Answer:

117.76 meters

Step-by-step explanation:

46x64=2,944 (red ribbon)

46x3=138x64=8,832 (yellow ribbon)

8,832+2,944=11,776 (all ribbon)

11,776 centimeters converted into meters is 117.76 meters

Answer:

567 miles

Step-by-step explanation:

9 hours x 63 miles per hour = 567 miles total

Answer:

400 40

Step-by-step explanation:

Answer:

There are 100 centimetres in one metre. Therefore, 4 metres is equal to 4 x 100 = 400 centimetres. This is longer than 40 centimetres.

Answer:

Step-by-step explanation:

The question says "Create a matrix to display the data".

The are 3 products:

- McBurger   - Mini McBurger   - ChocoLatte Shake

The figures represent monthly sales for each product, in a given year. This means 12 figures for each product - represent the 12 months of the year.

These figures will appear on the matrix, with the horizontal arrangement representing each month of the year and the vertical arrangement representing each product's sales.

In that light, you'll have a 12 by 3 matrix.

[tex]\left[\begin{array}{ccc}46&23&88\\63&41&46\\58&35&39\\77&44&52\\81&62&67\\102&88&99\\183&95&189\\197&99&238\\125&108&188\\111&111&97\\83&98&51\\218&63&12\end{array}\right] 12 by 3 matrix[/tex]The first row represents sales in January, the second row represents sales in February, the third row represents sales in March, the fourth row represents sales in April, etcetera.

The first column represents sale of McBurger, the second column represents sale of Mini McBurger, the third column represents sale of Choco-Latte Shake.

A postulate is something that is assumed to be true and there isn't a proof for it as its something foundational to help set up further proofs later down the road. Another example of a postulate is that a line is defined by two distinct points.

Answer:

[tex](\frac{15}{2},\frac{5}{2})[/tex]

Hope this helps!

Answer:

1/4 - 1/3i

Step-by-step explanation:

(4+3i)(-i) / 12i(-i)

= 3 - 4i / 12

Answer:

Juan travel 31.4 feet farther than Fred in one rotation.

Step-by-step explanation:

In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:

[tex]s=\theta \cdot r[/tex] (Eq. 1)

Where:

[tex]r[/tex] - Radius, measured in feet.

[tex]\theta[/tex] - Angular arch, measured in radians.

[tex]s[/tex] - Change in linear position, measured in feet.

If both makes one rotation in the carousel, we obtain the change in linear position of each player:

Fred ([tex]r = 7\,ft[/tex], [tex]\theta = 2\pi[/tex])

[tex]s= 2\pi\cdot (7\,ft)[/tex]

[tex]s = (3.14)\cdot (7\,ft)[/tex]

[tex]s = 21.98\,ft[/tex]

Juan ([tex]r = 17\,ft[/tex], [tex]\theta = 2\pi[/tex])

[tex]s= 2\pi\cdot (17\,ft)[/tex]

[tex]s = (3.14)\cdot (17\,ft)[/tex]

[tex]s = 53.38\,ft[/tex]

And the difference between both travelled distances is:

[tex]\Delta s = 53.38\,ft-21.98\,ft[/tex]

[tex]\Delta s = 31.4\,ft[/tex]

Juan travel 31.4 feet farther than Fred in one rotation.

Answer:

7767788877787887+-77-7

Answer:

11.a) is 15+5.50+3 maybe

11.b) is $3.50 because 15-12=3 3+5.50=8.50 8.50+3=11.50 11.50-8=3.50

Answer:

The function [tex]p(n)[/tex] is represented by [tex]p(n) = 103\cdot (0.88)^{n}[/tex].

Step-by-step explanation:

Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:

[tex]p(n) = p_{o}\cdot r^{n}[/tex] (Eq. 1)

Where:

[tex]p_{o}[/tex] - Atmospheric pressure at sea level, measured in kilopascals.

[tex]r[/tex] -Atmospheric pressure decrease rate, dimensionless.

[tex]n[/tex] - Height above sea level, measured in kilometers.

[tex]p(n)[/tex] - Current pressure, measured in kilopascals.

If we know that [tex]p_{o} = 103\,kPa[/tex] and [tex]r = 0.88[/tex], the function [tex]p(n)[/tex] is represented by:

[tex]p(n) = 103\cdot (0.88)^{n}[/tex]

Answer:

1. n ≥ 4

2. N ≥ nlog(2)÷log3

Step-by-step explanation:

1

1 byte = 8 bits

each byte = 8 trits

a 6 bit number = [tex]2^{6} = 64[/tex]

3n ≥ 64

divide through by3

n ≥ 64/3

we take the logarithm

n ≥ [tex]\frac{log64}{log3}[/tex]

n ≥ 1.8062 ÷ 0.4771

n≥3.785

when approximated, n ≥ 4. So the number of trits needed in the storage of 6 bit is atleast 4

2.

to hold n bits, we can do something similar.

3N ≥ 2n

we take log of both sides

such that;

N ≥ [tex]\frac{nlog(2)}{log(3)}[/tex]

Answer:

The actual area of the field in square kilometers is [tex]30000000 km^2[/tex]

Step-by-step explanation:

Scale : 1 cm = 50000 km

Area of field on map = [tex]1.2 cm^2[/tex]

Now , 1 cm = 5000 km

[tex]1 cm^2 = (5000 km)^2[/tex]

We are supposed to find the actual area of the field in square kilometers.

So, the actual area of the field in sq. km =[tex]1.2 \times (5000)^2[/tex]

Actual area of the field in sq. km [tex]=30000000 km^2[/tex]

Hence the actual area of the field in square kilometers is [tex]30000000 km^2[/tex]

Answer:

$90

Step-by-step explanation:

10% de 100 es 10; 100-10=90

Answer:

90 pesos

Step-by-step explanation:

10% de 100 es 10. Resta esos 10 pesos de los 100, y te da tu resultado de 90 pesos.

Si necesitas que te lo explique mas, dime y te ayudare :)