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kap26 [50]
3 years ago
8

Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.

Mathematics
1 answer:
melamori03 [73]3 years ago
8 0

Answer:

The sequence is arithmetic with a common difference of -10

Step-by-step explanation:

From the question, we want to determine if the sequence is arithmetic or geometric

From the question

f(1) = 5

f(2) = -5

f(3) = -15

Mathematically for the common difference;

f(3) - f(2) = f(2) - f(1)

Since;

-15-(-5) = -5-5

-10 = -10

Since the common difference here is same , then the sequence is arithmetic with a common difference of -10

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I don’t understand. and someone please help?
givi [52]

Solution:

<u>Note that:</u>

  • 6x + 26 = 92 (Vertically opposite angle)
  • 92 + 92 + z + z = 360

<u>Finding x.</u>

  • 6x + 26 = 92
  • => 6x = 92 - 26
  • => 6x = 66
  • => x = 11

<u>Finding z.</u>

  • 92 + 92 + z + z = 360
  • => 184 + 2z = 360
  • => 2z = 360 - 184
  • => 2z = 176
  • => z = 176/2 = 88
3 0
2 years ago
What is the volume rounded to the nearest whole number?
Semenov [28]

Answer:

13 in³

Step-by-step explanation:

This is a skewed pyramid, but that doesn't change the way you find the volume of the figure.

The formula for the volume of a pyramid is 1/3(b)(h)

Multiply 6 by 6.5 to get 39, then divide it by 3 to get 13 in³

3 0
3 years ago
A certain restaurant always overbooks. If possible. At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53
oee [108]

Answer:

The probability that the restaurant can accommodate all the customers who do show up is 0.3564.

Step-by-step explanation:

The information provided are:

  • At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53.
  • If the probability of a party not showing up is 0.04.
  • Assuming independence.

Let <em>X</em> denote the number of parties that showed up.

The random variable X follows a Binomial distribution with parameters <em>n</em> = 53 and <em>p</em> = 0.96.

As there are only 50 sets available, the restaurant can accommodate all the customers who do show up if and only if 50 or less customers showed up.

Compute the probability that the restaurant can accommodate all the customers who do show up as follows:

P(X\leq 50)=1-P(X>50)\\=1-P(X=51)-P(X=52)-P(X=53)\\=1-[{53\choose 51}(0.96)^{51}(0.04)^{53-51}]-[{53\choose 52}(0.96)^{52}(0.04)^{53-52}]\\-[{53\choose 53}(0.96)^{53}(0.04)^{53-53}]\\=1-0.27492-0.25377-0.11491\\=0.3564

Thus, the probability that the restaurant can accommodate all the customers who do show up is 0.3564.

7 0
3 years ago
? - 6= - 7<br> what is the answer
lukranit [14]

Answer:

8

Step-by-step explanation:

8 0
3 years ago
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Jeremy and Karina are playing the "Integer Card Game". Jeremy drew three cards, -1, 8, and - 3.
Digiron [165]

Answer:

3

Step-by-step explanation:

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3 years ago
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