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ra1l [238]
4 years ago
6

What is the slope of this table?

Mathematics
1 answer:
suter [353]4 years ago
4 0

Answer:y=7x

Explanation:The 1/7 is the slope

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In a​ lottery, 6 numbers are randomly sampled without replacement from the integers 1 to 50. Their order of selection is not i
nlexa [21]

Answer: 0.444225

Step-by-step explanation:

Given : The total number of tickets = 50

Number of tickets are randomly sampled without replacement  =6

Since the order of selection is not important , so we use combinations.

Total number of ways to select 6 tickets = ^{50}C_6

The number of winning tickets = 6

So, number of tickets that are not winning = 50-6=44

Number of ways of selecting zero winning numbers= ^{44}C_{6}

Now , the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket out of the 50 possible numbers would be \dfrac{^{44}C_{6}}{^{50}C_6}

=\dfrac{\dfrac{44!}{6!(44-6)!}}{\dfrac{50!}{6!(50-6)!}}\\\\\\=\dfrac{\dfrac{44\times43\times42\times41\times40\times39\times38!}{38!}}{\dfrac{50\times49\times48\times47\times46\times45\times44!}{44!}}\\\\\\=\dfrac{44\times43\times42\times41\times40\times39}{50\times49\times48\times47\times46\times45}\\\\=\dfrac{252109}{567525}\approx0.444225

Hence, the required probability = 0.444225

8 0
3 years ago
What kind of sequence is this?<br> 36, 144, 432, -864, ..
jenyasd209 [6]

Answer:

<h3> A Geometric sequence with common ratio 3</h3>

Step-by-step explanation:

A sequence of number is called Geometric sequence if the first number is being multiplied with a constant to get the rest of the numbers

ratio between 2 adjacent numbers in a sequence will be a constant and is called common ratio.

in the given sequence the ratio between any pair of adjacent numbers is 3.

∵ this is a geometric sequence with common ratio 3

6 0
3 years ago
What is the exact area of a circle whose radius is 9 yd? Enter your answer in the box. Express your answer in terms of
atroni [7]

Answer:

81\pi

Step-by-step explanation:

Area = pi*r^2

Area = pi*9^2

Area = 81\pi

6 0
3 years ago
Read 2 more answers
A furniture store has set aside 800 square feet to display its sofas and chairs. Each sofa utilizes 50 sq. ft. and each chair ut
miskamm [114]

Answer:

a) 50S + 30C ≤ 800

b) 1) MAX = S + C

   2) Max = 0.03S + 0.05C

   3) Max = 6S + 5C

Step-by-step explanation:

Given:

Total space = 800 square feet

Each sofa = 50 square feet

Each chair = 30 square feet

At least 5 sofas and 5 chairs are to be displayed.

a) Write a mathematical model representing the store's constraints:

Let S denote number of sofas displayed and C denote number of chairs displayed.

The mathematical model will be:

50S + 30C ≤ 800

At least 5 sofas are to be dispayed: S ≥ 5

At least 5 chairs are to be displayed: C ≥ 5

b)

1) Maximize the total pieces of furniture displayed:

S + C = MAX

2) Maximize the total expected number of daily sales:

MAX = 0.03S + 0.05C

3) Maximize the total expected daily profit:

Given:

Profit on sofas = $200

Profit on chairs = $100

Max Expected daily profit =

Max = (200S * 0.03) + (100C * 0.05)

<em>Max = 6S + 5C</em>

6 0
3 years ago
X2−10x+29=5
Irina18 [472]

Answer:

(x-6)(x-4) = 0

Step-by-step explanation:

Subtract 5 from both sides to make the equation equal to 0. You will get the equation x2-10x+24=0. Now think of two numbers that multiply to get 24 but add to get -10. These numbers are -6 and -4. The factors of x2 are x and x which multiply to get x2.  Now put two linear factors into parathesis to get (x-6)(x-4) = 0.

7 0
3 years ago
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