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3 years ago

14

Can someone answer this for me pls and thank you

1 answer:

kherson [118]3 years ago

4 0

x in terms of b:

-2(bx - 5) = 16

-2bx + 10 = 16

-2bx = 6

x = 6 / -2b

x = -3/b

--------------------------------

when b = 3 then

-2(3x - 5) = 16

-6x + 10 = 16

-6x = 6

x = -1

Answer

The value of x in terms of b is -3/b

The value of x when b is 3 is -1

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A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st

Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct.

This means that $n = 15, p = \frac{1}{5} = 0.2$

What is the probability that he answers at least 10 questions correctly?

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{15,10}.(0.2)^{10}.(0.8)^{5} = 0.0001$

$P(X = 11) = C_{15,11}.(0.2)^{11}.(0.8)^{4} = 0.000011$

$P(X = 12) = C_{15,12}.(0.2)^{12}.(0.8)^{3} \cong 0$

$P(X = 13) = C_{15,13}.(0.2)^{13}.(0.8)^{2} \cong 0$

$P(X = 14) = C_{15,14}.(0.2)^{14}.(0.8)^{1} \cong 0$

$P(X = 15) = C_{15,15}.(0.2)^{15}.(0.8)^{0} \cong 0$

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0001 + 0.000011 = 0.000111$

0.0111% probability that he answers at least 10 questions correctly

3 0

3 years ago

I NEED HELPPPP ON THIS! <br> 3 questions

goldenfox [79]

Answer:

4. a) y = 3x -2

4. b) y = (2x)/3 -11/3

5. y = -(3x/4) +6

7 0

2 years ago

A students home is 3.25 miles from school. A soda shop is located 900 feet farther down the road from school. What is the total

notka56 [123]

1 mile = 5,280 feet.

Convert the 0.25 mile to feet:

0.25 miles = 0.25 x 5,280 = 1,320 feet.

Add the soda shop distance to this:

1,320 + 900 = 2,220 feet.

Total distance is 3 miles and 2,220 feet

5 0

3 years ago

The area of a circle, in terms of π, is 196π m2.<br> Find the value of the radius.

AleksandrR [38]

Step-by-step explanation:

if area of circle = pi times radius^2,

area of circle divided by pi = radius^2

so, square root (area of circle divided by 2) = radius.

so, 196pi = m2

approx 616

616=m2

sqrt 616 =m

approx value of radius is 25 or 24.8

pls mark this as brainliestttt

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2 years ago

10 1/2 x 2 2/3=<br><br>3 1/3 x 4 2/7=<br><br>7/2 - 4/5=

Ira Lisetskai [31]

10 1/2 x 2 2/3= 28, 3 1/3 x 4 2/7= 14.2857142857, 7/2 - 4/5= 2.7

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2 years ago