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nikklg [1K]
3 years ago
14

Cho A= [ -4;4] B= ( 1;7] Xác định A B

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0

To find the intersection of A and B figure who has the bigger lower bounds and smaller upper bounds out of A and B.

The lower bound of A is -4 while the lower bound of B is (but not including) 1. So the lower bound will be (1.

The upper bound of A is 4 while the upper bound of B is 7. So the resulting upper bound will be 4].

Put these together and get (1,4].

Hope this helps :)

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The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What
Nutka1998 [239]

Answer:

The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.

Step-by-step explanation:

We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.

Let X = <u><em>heights of 18-year-old men.</em></u>

So, X ~ Normal(\mu=68,\sigma^{2} =3^{2})

The z-score probability distribution for the normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean height = 68 inches

           \sigma = standard deviation = 3 inches

Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)

       P(X > 65 inches) = P( \frac{X-\mu}{\sigma} > \frac{65-68}{3} ) = P(Z > -1) = P(Z < 1)

                                                                = <u>0.8413</u>

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.

6 0
3 years ago
Can someone help it has to be a polynomial
Damm [24]

Answer: Width = 24 inches

Step-by-step explanation:

Let W represent the width of the rectangular sign.

The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be

W/2 + 6

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of the sign is 432 square inches. Therefore, the equation for the area of this sign would be

W(W/2 + 6) = 432

W²/2 + 6W = 432

Multiplying both sides of the equation by 2, it becomes

W² + 12W = 864

W² + 12W - 864 = 0

W² + 36W - 24W - 864 = 0

W(W + 36) - 24(W + 36) = 0

W - 24 = 0 or W + 36 = 0

W = 24 or W = - 36

Since W cannot be negative, then

W = 24

5 0
3 years ago
Read 2 more answers
Which of the following equations represent nonlinear functions?
s2008m [1.1K]

y=5x^2+7 is Non-Linear Functions

Option B is correct option.

Step-by-step explanation:

We need to identify Non-Linear Functions from the equations given.

First we will define Non-Linear Functions

<u>Linear Functions</u>

A function having exponent of variable equal to 1 or of the form y=c, where c is constant is called linear function.

<u>Non-Linear Functions</u>

A function that has variable having power greater than 1 (i.e 2 or above) is called non-linear function.

So, from all the options given, only Option B has power greater than 1 i.e 2. All remaining options are linear functions.

So, y=5x^2+7 is Non-Linear Functions

Option B is correct option.

Keywords: Linear and Non-Linear Functions

Learn more about Linear and Non-linear functions at:

  • brainly.com/question/12363217
  • brainly.com/question/4326955

#learnwithBrainly

3 0
3 years ago
All the sides of a hexagon become three times the original length. find the ratio of areas of the new and old hexagons.
Anastaziya [24]
To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:

A = (3√3/2) a^2

So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.

A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9

Therefore, the ratio of the areas of the new and old hexagon would be 9.
7 0
3 years ago
What is the answer to x HURRY PLZ WHO EVER SHOWS WORK WILL GET THE BRAIINLIEST ANSWER AWARD
lakkis [162]
117 divided by g is 19.5
 
I hope this helps.
8 0
3 years ago
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