MATHEMATICS COLLEGE

-(- 3.8a - 9b + 5.8)​

Answers

Answer 1
Answer:

Answer:

3.8a + 9b - 5.8

Step-by-step explanation:

distributing the negative

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8. John is looking for a job after graduation. The salary which he is satisfied with must be$3000 with a tolerance of $500. Choose the salary John would accept.
A $3.478
B. $3.792
C. $2,489
D. $2,256

Answers

Answer:

A

Step-by-step explanation:

Becuase he wanted more then 3000
The answer is A I took the test :)

Given the following function , find f(-2) ,f (0) and f(2) F(X)=-3x-3 F(-2) = help me please i don't understand

Answers

Answer:

\large{f(-2)=3\n\nf(0)=-3\n\nf(2)=-9}

Step-by-step explanation:

f(x)=-3x-3\n\nf(-2)\to\text{put x = -2 to the equation of the function}\ f(x):\n\nf(-2)=-3(-2)-3=6-3=3\n-------------------------\nf(0)\to\text{put x = 0 to the equation of the function}\ f(x):\n\nf(0)=-3(0)-3=0-3=-3\n------------------------\nf(2)\to\text{put x = 2 to the equation of the function}\ f(x):\n\nf(2)=-3(2)-3=-6-3=-9

Find the distance between two points A (-2,-3) B (6,8)

Answers

Answer:

√185 units.

Step-by-step explanation:

To find the distance between two points, A (-2, -3) and B (6, 8), you can use the distance formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

In this formula:

(x₁, y₁) represents the coordinates of point A (-2, -3).

(x₂, y₂) represents the coordinates of point B (6, 8).

Now, plug the values into the formula:

Distance = √[(6 - (-2))² + (8 - (-3))²]

Distance = √[(6 + 2)² + (8 + 3)²]

Distance = √[(8)² + (11)²]

Distance = √[64 + 121]

Distance = √185

So, the distance between points A (-2, -3) and B (6, 8) is √185 units.

Can anyone help? I’m having trouble.

Answers

Answer:

The square root of fifty is 7.10 rounded

Step-by-step explanation:

It would be around 7 on the number line. Hope this helps!!

A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

Answers

Answer:

37.70% probability that the student will pass the test

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses it correctly, or he does not. The probability of a student guessing a question correctly is independent of 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) = (n!)/(x!(n-x)!)

And p is the probability of X happening.

10 true/false questions.

10 questions, so n = 10

True/false questions, 2 options, one of which is correct. So p = (1)/(2) = 0.5

If a student guesses on each question, what is the probability that the student will pass the test?

P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

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

P(X = 6) = C_(10,6).(0.5)^(6).(0.5)^(4) = 0.2051

P(X = 7) = C_(10,7).(0.5)^(7).(0.5)^(3) = 0.1172

P(X = 8) = C_(10,8).(0.5)^(8).(0.5)^(2) = 0.0439

P(X = 9) = C_(10,9).(0.5)^(9).(0.5)^(1) = 0.0098

P(X = 10) = C_(10,10).(0.5)^(10).(0.5)^(0) = 0.0010

P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.2051 + 0.1172 + 0.0439 + 0.0098 + 0.0010 = 0.3770

37.70% probability that the student will pass the test

Carly's dog weighs 25 pounds and her cat weighs 12 pounds how much more does her dog weigh then her cat

Answers

Answer:

13 more pounds. The dog weighs 13 more pounds than the cat.

Answer:

13 pounds

Step-by-step explanation:

21-12=13
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