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3 years ago

Which statement is true about the graphed function?

Mathematics

2 answers:

Semmy [17]3 years ago

6 0

A function is positive if it lies above the x axis.

This function is positive before x = -4, i.e. over the interval $(-\infty, -4)$

It is negative elsewhere, i.e. over the interval $(-4, \infty)$

So, the only correct option is the second one.

grigory [225]3 years ago

3 0

Answer:

D.F(x) >0 over the interval ( $-\infty,-4)$

Step-by-step explanation:

We have to find the true statement about graphed function.

A.F(x) <0 over the interval ( $-\infty,4$ )

It is not true because in given graph the value of F(x) < 0 in interval ( $-4,\infty,)$ and F(x)> 0 in interval ( $-\infty,-4)$ .

B.F(x)<0 over the interval ( $-\infty,-3)$

It is not true because F(x)> 0 in interval ( $-\infty,-4)$ .

C.F(x) >0 over the interval $(-\infty,-3)$

It is not true because F(x) < 0 when -4<x<-3

D.F(x) >0 over the interval ( $-\infty,-4)$

It is true because F(x) >0 in interval $(-\infty,-4)$

Hence, option D is true.

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Suppose the height of an 18 year old boy is normally distributed with mean 187cm fifteen percent of 18 year old boys have height

BARSIC [14]

Answer:

the probability that two 18 year old boys chosen at random will have heights greater than 185cm is 0.403

Step-by-step explanation:

P( x > 193) = 0.15

= 1- p(x less than or equal 193)

= 1 -p( z < (x- u) /sigma)

= 1- p( z< (193 - 187)/ sigma)

= 1- p( z< 6/ sigma)

P(z< 6/sigma) = 1 - 0.15

P(z < 6/sigma)= 0.85

6/sigma =1.036

Sigma= 6/1.036

Sigma= 5.79

P( x> 185) = 1- p( x< 185)

= 1- p (z < (185- 187)/5.79)

= 1- p( z< -0.345)

= 1- 0.365

= 0.635

P (x> 185) = 0.635 × 0.635

=0.403

3 0

3 years ago

Which number best represents the slope of the graphed line?

ryzh [129]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

refer to solution in the picture

3 0

2 years ago

2. Evaluate each function at the specific value

Oliga [24]

F(6) says “take f(x) = -4x + 11 and put 6 in for every x-value and then clean it up.”

f(6) = -4(6) + 11

      = -24 + 11

      = -13

f(x) = -1 says “set your function equal to -1 and solve for x”

    f(x) = -1

-4x+11 = -1

-4x = -12

        x = 3

So f(3) = -1.

8 0

3 years ago

A garden has a circular border and a fountain in the center. I measured the distance from one side of the garden to the other, g

Snezhnost [94]

Answer:

The length of the border is approximately 4 feet.

Step-by-step explanation:

Since the garden has a circular border we can apply the formula for the circle's length, which is shown below:

$length = 2*\pi*radius$

Where the radius is half the diameter. The diameter is the distance between two points in the circle going through the center, therefore for this garden the diameter is 1.2 feet and the radius is 0.6 feet. Applying this to the formula gives us:

$length = 2*\pi*0.6\\length = 1.2*\pi\\length = 3.8$

The length of the border is approximately 4 feet.

7 0

3 years ago

There is a 15% it will rain on both Saturday and Sunday. There is a 60% chance of rain on Saturday. What is the chance of

Artemon [7]

Answer:

25%

Step-by-step explanation:

This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:

P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15

There is a 60% chance of rain on Saturday, mean the equation is

P(X = true) = 0.6

The question is asking for the chance of rain on Sunday or P(Y = true). If we substitute the second equation to first, it will be:

P(X = true) * P(Y = true)= 0.15

0.6* P(Y = true)= 0.15

P(Y = true)= 0.15/0.6

P(Y = true)= 0.25 = 25%

5 0

3 years ago