MATHEMATICS COLLEGE

The quotient of k and 9 is less than 1/3

Answers

Answer 1

Answer:

Answer:

k/9 < 1/3

k < 3

Step-by-step explanation:

quotient is division

k/9 < 1/3

Multiply each side by 9

k < 9/3

k < 3

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T he equation for a parabola with directrix y = –p and focus (0, p) is:1.What is the parabola’s line of symmetry?

y-axis
x-axis
x = p
x = -p

Answers

The equation for a parabola with directrix y = –p and focus (0, p)

The distance between vertex and directrix is P

Also the distance between vertex and focus is also P

Focus (0,p) so focus lies on y axis

Directrix line is paralled to focus point

So Directex crosses the x axis .

Hence line of symmetry lies is the y-axis.

The graph is attached below.

Given input 3823, 8806, 8783, 2850, 3593, 8479, 1941, 4290, 8818, 7413, and a hash function h(x = x mod 13, show the resulting separate chaining table.

Answers

Hello:
3823=13(294)+1
, 8806=13(677)+5
8783=13(675)+8
2850=13(219)+3
3593=13(276)+5
8479=13(652)+3
1941=13(149)+4
4290=13(330)
8818=13(678)+4
7413=13(570)+3

3823=1 mod 13
8806 = 5mod 13
8783= 8 mod 13 ........continue

Which scatter plot could have a trend line whose equation is y = x + 15?

Answers

Answer:

I'm going to say it's the third one (bottom left) because it's the only one that has points scattered in the same vicinity as the graph when I plugged in that equation. The line showed was linear and had many points including (0,15), (1, 16), and (2, 17).

T is the same as the quotient of 175 and p

Answers

Answer:

t=175÷p

Step-by-step explanation:

t is equal to 175 divided by p

The sizes of houses in Kenton County are normally distributed with a mean of 1346square feet with a standard deviation of 191 square feet. For a randomly selected
house in Kenton County, what is the probability the house size is:
a. over 1371 square feet?
O Z=
o probability =
b. under 1296 square feet?
O Z=
o probability =
c. between 773 and 1637 square feet?
o zl =
o Z2 =
o probability =
Note: Z-scores should be rounded to 2 decimal places & probabilities should be
rounded to 4 decimal places.
License
Points possible: 8
This is attempt 1 of 3.

Answers

Answer:

(a) The probability that the house size is over 1371 square feet is 0.4483.

(b) The probability that the house size is under 1296 square feet is 0.3974.

(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.

Step-by-step explanation:

We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346 square feet with a standard deviation of 191 square feet.

Let X = the sizes of houses in Kenton County

The z-score probability distribution for the normal distribution is given by;

Z = $(X-\mu)/(\sigma)$ ~ N(0,1)

where, $\mu$ = mean size of houses = 1346 square feet

$\sigma$ = standard deviation = 191 square feet

(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)

P(X > 1371) = P( $(X-\mu)/(\sigma)$ > $(1371-1346)/(191)$ ) = P(Z > 0.13) = 1 - P(Z $\leq$ 0.13)

= 1 - 0.5517 = 0.4483

The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.

(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)

P(X < 1296) = P( $(X-\mu)/(\sigma)$ < $(1296-1346)/(191)$ ) = P(Z < -0.26) = 1 - P(Z $\leq$ 0.26)

= 1 - 0.6026 = 0.3974

The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.

(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)

P(773 < X < 1637) = P(X < 1637) - P(X $\leq$ 773)

P(X < 1637) = P( $(X-\mu)/(\sigma)$ < $(1637-1346)/(191)$ ) = P(Z < 1.52) = 0.9357

P(X $\leq$ 773) = P( $(X-\mu)/(\sigma)$ $\leq$ $(773-1346)/(191)$ ) = P(Z $\leq$ -3) = 1 - P(Z $\leq$ 3)

= 1 - 0.9987 = 0.0013

The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.

Therefore, P(773 square feet < X < 1637 square feet) = 0.9357 - 0.0013 = 0.9344.

How would you write the number displayed on the calculator screen in standard form

Answers

Answer:

E is short for 10^x. The number that comes after the E is the power of 10.

So its 7.6*10^12

now that scientifically notation

For standard your gonna need to simplify that

so we know 10^12 is 1000000000000

Multiply the 7.6

7600000000000

hope I helped :)

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