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Lubov Fominskaja [6]
3 years ago
14

If 3 + 4 7 and 6 + 1 = 7, then 3 + 4 = 6 + 1a. Distributive property . Associative property Transitive property . Commutative pr

operty Multiplicative inverse property
Mathematics
1 answer:
Ugo [173]3 years ago
6 0
If 3+4 = 7 and 6+7 = 7 leads to 3+4 = 6+1, then you are using the transitive property. In general the property says that if a = b and b = c, then a = c.
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A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each que
Assoli18 [71]

Answer:

Q1) The student has a 0.01% probability of passing the test.

Q2) She has a 99.91% probability of passing in the test.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he gets it correct, or he gets it wrong. So we solve this problem using the binomial probability distribution.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

For this problem, we have that:

Question 1.

There are 50 questions, so n = 50.

The student is going to guess each question, so he has a \pi = \frac{1}{4} = 0.25 probability of getting it right.

He needs to get at least 25 question right.

So we need to find P(X \geq 25).

Using a binomial probability calculator, with n = 50 and \pi = 0.25 we get that P(X \geq 25) = 0.0001.

This means that the student has a 0.01% probability of passing the test.

Question 2.

Now, we need to find P(X \geq 25) with \pi = 0.70. So P(X \geq 25) = 0.9991

She has a 99.91% probability of passing in the test.

7 0
3 years ago
Read 2 more answers
Nick bought a new car.
ira [324]

Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:

A(t) = A(0)(0.88)^t.

It halves in value at t years, for which A(t) = 0.5A(0), hence:

A(t) = A(0)(0.88)^t

0.5A(0) = A(0)(0.88)^t

(0.88)^t = 0.5

\log{(0.88)^t} = \log{0.5}

t\log{0.88} = \log{0.5}

t = \frac{\log{0.5}}{\log{0.88}}

t = 5.42.

It takes 5.42 years for the car to halve in value.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

9 0
1 year ago
What is the measure of the missing angle?
mestny [16]

Answer:

25°

Step-by-step explanation:

These types of figures have 3 angles, which add up to 180°. If you found the 2 angles already, you can find the last one by adding both angles together and using 180° to deduct it with the total degree of thd 2 angles.

127 + 28 = 155

180 - 155 = 25

5 0
3 years ago
QUICK QUICK QUICK QUICK I NEED ALL YOUR ANSWERS NOW UNDER 2 MINUTES ANSWER FIRST AND YOU WILL GET THE CHANCE TO BE THE BRAINLIES
juin [17]

Answer:

2 20/24

Step-by-step explanation:

divide 4/2=2

then do 5/8÷3/4=5/8×4/3=20/24

u basically inverse 3/4

2 20/24

7 0
3 years ago
Your father is planning to cook for 35 people using a recipe that specifies two and a half cups of sugar for each six people,
almond37 [142]

Your father will require 14.6 cups of sugar for the larger group

<h3>Ratio and proportions</h3>

From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;

6 people = 2.5 cups of sugar

In order to calculate for 35 people, we will have;

35 people  = x

Taking the ratio of the expressions

6/35 = 2.5/x

6x = 87.5

x = 87.5/6

x = 14.6

Hence your father will require 14.6 cups of sugar for the larger group

Learn more on ratio and proportions here: brainly.com/question/19994681

3 0
2 years ago
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