All categories

3 years ago

Translate the verbal phrase into an inequality. All real numbers that are greater than or equal to -1.5 and less than 9.2

Mathematics

2 answers:

kari74 [83]3 years ago

8 0

4 is because it is greater and less than

Lina20 [59]3 years ago

6 0

Answer: -1.5 ≤ x < 9.2

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

"All real numbers": we will use the variable x to represent all the real numbers.

"All real numbers that are greater than or equal to -1.5". This means that x is greater or equal (≤) to the number 1.5.

"And less than 9.2": less is represented with the symbol <

Mathematically speaking :

-1.5 ≤ x < 9.2

Feel free to ask for more if needed or if you did not understand something.

You might be interested in

Jasmine spent an hour cleaning the house. She spent 25 minutes cleaning the bathroom, 20 minutes doing laundry and the rest of t

goldenfox [79]

25 percent

25 plus 20 is 45
60 minus 45 is 15
15 divided by 60 is .25
.25 times 100 is 25
25%

3 0

3 years ago

Suppose we conduct a hypothesis test to determine if an exercise program helps people lose weight. We measure the weight of a ra

shusha [124]

Answer: (ii) We reject H0---this sample provides significant evidence that the program is effective.

Step-by-step explanation:

The null hypothesis is

The program is not effective for weight loss.

The alternative hypothesis is

The program is effective for weight loss.

If the P-value for the test turns out to be 0.012, and the level of significance is 0.05, then

Alpha, 0.05 > p value, 0.012

Therefore, there is enough evidence to reject the null hypothesis. We then accept the alternative hypothesis.

The correct option is

(ii) We reject H0---this sample provides significant evidence that the program is effective.

6 0

4 years ago

2. The table shows distance, y, that Mario runs in x minutes.

grigory [225]

Answer:

Equation: y = ⅐x

Rate of change: ⅐

Distance = 10 miles

Step-by-step explanation:

Given

The information in the above table

Solving (a): The equation

To get the equation, we need to first calculate the slope (m)

Take any two corresponding values of x and y

(x1,y1) = (7,1)

(x2,y2) = (21,3)

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(21 - 7)

m = 2/14

m = ⅐

The equation is calculated using

y - y1 = m(x - x1)

Substitute values for m, x1 and y1

y - 1 = ⅐(x - 7)

y - 1 = ⅐x - 1

Add 1 to both sides

y = ⅐x

Solving (b) Rate of change:

The calculated slope in (a) above represents the rate of change.

So:

Rate of change = Slope = ⅐

Solving (c): Distance when time is 70 minutes

This implies that x = 70

Substitute 70 for x in y = ⅐x

y = ⅐ * 70

y = 10 miles

4 0

3 years ago

The distance from the center of a compact disc to the edge of the disc is 6 centimeters. What is the area of the compact disc? A

PSYCHO15rus [73]

The Correct Answer Is B.36 square centimeters
Hope this helps

4 0

3 years ago

You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 1536cm3. Deter

Katen [24]

Answer:

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

Step-by-step explanation:

The volume of the box can be calculated with this formula:

The volume of the box = area of square base X height of the box.

We are given that the length of one side of the square base is = x cm, and its height is h cm.

Area of square base = $x^{2}cm^{2}$

The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.

In this case, the volume of the box will be $x^{3}=1536cm^{3}$

from this, $x =3\sqrt{1536}= 11.53cm$

There fore, the box has its length, height, and width all having the same values.

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

8 0

3 years ago