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3 years ago

This is not a multiple choice question. Please help!

Mathematics

1 answer:

Shkiper50 [21]3 years ago

5 0

Complentary angle = 90 degrees

90 - 16 = your answer

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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

The population of a town was 5655 in 2010. The population grows at a rate of 2.6% annually.

kupik [55]

The exponential equation used to represent the population of the town is given by y = 5655(1.026)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population remaining after x years.

The population grow at the rate of 2.6% annually. Hence:

b = 100% + 2.6% = 1.026

There are initially 5655 people, hence a = 5655.

The equation becomes:

y = 5655(1.026)ˣ

Find out more at: brainly.com/question/7259975

6 0

2 years ago

The work of a student to solve the equation 2(3x-4)= 8 + 2x + 4 is shown below.

Nitella [24]

Step 2, 6x +8 = 12+2x

8 0

2 years ago

Plz help me with number 4 and 5 this is due tomorrow you don't have to show the work.

kozerog [31]

Where is the shaded region?

7 0

3 years ago

Estimate the product 0.62 x 104

oee [108]

Answer:

The estimated product is 52.

Step-by-step explanation:

0.62 is 0.38 away from one and 0.12 away from 0.5. Since it's closer to 0.5, we'll round it to that. 104 doesn't need to be rounded because it's a whole number. So, 1/2 of 104 is 52. The estimated product is 52

Hope this helps! :)

7 0

3 years ago