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Airida [17]
3 years ago
7

Compute 1 + 2 + 3 + 4 + ... +48 +49 + 50.​

Mathematics
2 answers:
Maurinko [17]3 years ago
6 0
Answer: 1275


Explanation:
ad-work [718]3 years ago
4 0

Answer:

1275

Step-by-step explanation:

This is an arithmetic series. The formula for this is Sₙ = (n/2)(a₁ +aₙ)d. a₁ is the first term, so here it is 1, and aₙ is the nth term, or the last term, which is 50 here, but we don't know n.

Now we have to use the equation for an arithmetic sequence to solve for n. A sequence would just be if there was not a last number and it went on forever. that equation looks like aₙ = a₁ + (n - 1)d. Now the only new variable is d, which is the common difference. You can find that by subtracting one term from the term before it, like 2-1 = 1, so d is 1.

We can now solve for n by plugging our numbers into the second equation, so 50 = 1 + (n - 1)1, we can distribute the 1 and to (n-1) and get 50 = 1 + n - 1. Now the ones will cancel and we are left with n = 50

Finally we can plug everything into our original equation and find Sₙ = (50/2)(1+50), which simplifies to Sₙ = 25(51), and Sₙ = 1275.

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If f(x) = 4x + 2 and g(x) = 2x – 7<br> find f(g(3)).
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Answer:

-2

Step-by-step explanation:

g(3)= 2(3)-7

g(3)= 6-7

g(3)= -1

f(g(3))= 4(-1)+2

f(g(3))= -4+2

f(g(3))= -2

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3 years ago
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Using the graph below, what is the best estimate of month 7's average temperature if the equation for the line of best fit is y
defon

Substitute x to be 7 (for month 7) and work out the equation:

y = -13(7) + 111

y = -91 + 111

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3 years ago
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Which of the following statements is true?
wolverine [178]

Answer:

D: Point E is the midpoint of segment AC

Step-by-step explanation:

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Congruent means something that is exactly the same.

Congruent triangles are two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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8 0
3 years ago
Please help me with this!!
nydimaria [60]

Answer:

Step-by-step explanation:

these triangles are not similar,  you can tell, b/c the one given angle and that they are both right triangles, so you also know that the other angle , that is not given is not the same, in the two.   hence the sides are not the same lengths or ratios of each other.  they are NA

6 0
2 years ago
A town recently dismissed 9 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of ag
raketka [301]

Answer:   0.1340

Step-by-step explanation:

The binomial distribution formula is given by :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The number of employees over 50 years of age =7

The probability of employees over 50 years of age = \dfrac{7}{7+15}=0.318

Number of dismissed employees : n= 9

Now, the required probability will be :

P(x =1)=^{9}C_1(0.318)^{1}(1-0.318)^{9-1}\\\\=(9)(0.318)(1-0.318)^{8}=0.133950588714\approx0.1340

Thus, the probability that exactly 1 employee was over 50 = 0.1340

3 0
3 years ago
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