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____ [38]
3 years ago
12

2

Mathematics
1 answer:
fredd [130]3 years ago
4 0

Answer: sale 90

Step-by-step explanation:

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What is the area of a triangle that has a base of 10 inches and a height of 7 inches
Natali [406]

Answer:

it is 35

Step-by-step explanation:

5 0
3 years ago
In an arithmetic sequence, = 5 and = 11.
Free_Kalibri [48]

Answer:

1134.62 (THE SUM OF 20 TERMS)

Step-by-step explanation:

First we write out our given information:

a8=2a2

a11=18

an is an arithmetic sequence.

Where here an means the nth term of our sequence.

What does an arithmetic sequence mean? It means to get to the next term in your sequence you add a constant (c) each time:

an+1=an+c

Equivalently:

an+1−an(n+1)−n=c

So an is of slope c (c2 is another constant):

an=cn+c2

Where here c2=a0 (Substitute in n=0 and see why that has to be the case if we let a0 exist)

Now we use the other given information to try to come up with a solution.

Let n=2:

a2=2c+c2

Let n=8, using the above equation we have:

a8=8c+c2=2a2=4c+2c2

Let n=11

a11=18

a11=11c+c2

But a11−a8=(11c+c2)−(8c+c2)=3c

Hence, a11=3c+a8

a11=3c+4c+2c2=18

a11=3c+8c+c2=18

5 0
2 years ago
What is the constant of variation, k,
ValentinkaMS [17]
The K-constant variation is the factor of the increase-decrease relationship between the x-variable and y-variable which can be stated as y=k*x or x=y/k<span>. For example, if y variable equal 5 and the x variable equal 2 then the k-constant variation equal 2 (calculation y=k*x --> 5=2*2.5). This constant shows the relationship between the variables.</span>
6 0
3 years ago
Read 2 more answers
A biased coin has a probability of 0.4 of coming up heads. What is the probability that when flipped one hundred times it comes
inn [45]

Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271

<u>Using the binomial probability relation</u> :

  • P(x = x) = nCx * p^x * q^(n-x)
  • p = probability of success = 0.4
  • q = 1 - p = 0.6
  • n = number of trials = 100

P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)

<u>Using a binomial probability calculator</u> :

P(x ≥ 100) = 0.0271

Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271

Learn more :brainly.com/question/12474772

5 0
3 years ago
Express your answer in scientific notation. 4.9 x 10^4 - 8200
Fiesta28 [93]

Answer:

4.0800*10^4

Step-by-step explanation:

4.9*10^4=49000

49000-8200=40800

since we can only have base numbers 1-9 in scientific notation, we need to move the decimal left 4 places:

4.0800*10^4

Hope this helps!

4 0
3 years ago
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