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3 years ago

Use sigma notation to represent the following series for 8 terms.

Mathematics

2 answers:

Nana76 [90]3 years ago

6 0

Answer: D

Step-by-step explanation:

because its right

love history [14]3 years ago

6 0

Wish I could help but doing it for points

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A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the

forsale [732]

<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly = $(\frac{1}{2})$ = p = 0.5

Also, the possibility of answering a question wrong = $(\frac{1}{2})$ = q = 0.5

Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.

P(answering 8 correct answer) = $^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2 = 0.0439$

P(answering 9 correct answer) = $^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1 = 0.0097$

P(answering 10 correct answer) = $^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0 = 0.00097$

So, the total Probability = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.

6 0

4 years ago

Which model is NOT a function? (i accidentally clicked on b ignore that lol)

olga_2 [115]

Answer:

Step-by-step explanation:

It's the only one where an x-axis has more than one y-axis.

I hope this explanation helps.

8 0

3 years ago

5(x+7)+2(y-1)when x=7 and y=2

balu736 [363]

Answer: 72

Step-by-step explanation:

First plug in 7 for x

5(14)

Then multiply

Next plug 2 in for y

2(1)

Multiply

Lastly, add 70 and 2 together.

72.

Hope this helps.

5 0

3 years ago

Read 2 more answers

Hurry I need the answers plz and how u got it

aleksley [76]

There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?

This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as

$\frac{Teachers}{Population}$ and we can use this to express both of our values. So, for Ohio, we have $\frac{122,100}{11,600,000}$ and for Illinois we have $\frac{x}{12,900,900}$ . Now, because they are proportional, we can set them equal to each other and we get $\frac{122,100}{11,600,00} = \frac{x}{12,900,000}$ . Now we can cross multiply to get $11,600,000x=1446090000000$ . To get the $x$ alone on one side, we divide by $11,600,000$ and we get 124,662.931034, which is about equal to 124,663.

Therefore, we expect Illinois to have 124,663 public school teachers

4 0

3 years ago

Based on her receipt Elena knows that seven servings of cereal have 1120 cal if she wants to eat 140 cal of cereal how many serv

expeople1 [14]

We want to find out how many calories are in a serving so, 1120/7 = 160.
A single serving has 160 calories.
140 calories would be 140/160 = 87.5% of a serving or less than a serving.

8 0

3 years ago