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3 years ago

What is the value of x?

Mathematics

1 answer:

Alex777 [14]3 years ago

7 0

Answer:

D. 30°

Step-by-step explanation:

By exterior angle theorem:

x° + 70° = 100°

x° = 100° - 70°

x° = 30°

x = 30

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Find the first, fourth, and eighth terms of the sequence. a(n)=-2 x 2^n-1

leonid [27]

Answer:

2, 16 and 256.

Step-by-step explanation:

Just substitute for n:-

first term ( when n = 1) = 2 * 2^(1-1)

= 2 * 1 = 2

4th term = 2 * 2^(4-1) = 16

8th term = 2* 2^(8-1) = 256

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3 years ago

If the equation says that one cookie with 10 chips plus another cookie with 10 chips plus another cookie with 10 chips equal 30.

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Wait what I don’t understand

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I'm confused about this, please help!

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D angle CDE
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3 years ago

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.

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4 years ago

What additional information could be used to prove that △ABC ~ △NML? Check all that apply. ∠B ≅ ∠M △ABC is a right triangle. △AB

Elena L [17]

Answer:

1,3,5

Step-by-step explanation:

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