What is the value of x ?

When a result from a simple is extended to the population

hjlf

Answer:

You can opt to study the entire population when the population is well defined(Complete sampling frame) and small.

It can eliminate any potential bias occurring through sampling technique, but other than that it is really not justified to consume more resources and time.

6 0

3 years ago

Which of the aaa-values satisfy the following inequality?

mina [271]

Answer:

a = 3

Step-by-step explanation:

When you add the given value for a with 7, the resulting answer must be less than 11.

In this case, if: a = 3

Plug in 3 for a in the equation:

7 + a < 11

7 + 3 < 11

10 < 11 (True).

A) a = 3 is your answer.

~

7 0

2 years ago

Please find the answer

Serggg [28]

Answer:

x^3 + 1/x^3 = 488

Step-by-step explanation:

x^2 + 1/x^2 = 62
x^2 + 1/x^2 + 2 = 64
( adding 2 in both sides )
(x + 1/x ) ^2 = 64
x + 1/x = 8

now,

( x+ 1/x ) ^ 3 = 512
x^3 + 1/x^3 + 3 × x × 1/x ( x + 1/x )
x^3 + 1/x^3 + 3 ( 8 )
( since x + 1/x = 8 )
x^3 + 1/x^3 + 24 = 512
x^3 + 1/x^3 = 488

hence, we got x^3 + 1/x^3 = 488

8 0

3 years ago

ANSWER ALL 5 PARTS.

N76 [4]

A function $f$ from a set A to a set B is defined as a relation that assings to each element $x$ in the set A exactly one element $y$ in the set B. The set A is called the domain of the function while the set B is the range. So we have five statements and need to find some functions. Melissa decides to reserve a patch in her vegetable garden for growing bell peppers. If each side of the tomato patch is $x$ feet, then we have a square patch as shown in the Figure below.

1.a) Write the function Wa(x) representing the width of the bell pepper patch.

We know that she wants its width to be half the width of the tomato patch. Let $x$ be the width of the tomato patch, then the function that matches this statement is:

$\boxed{Wa(x)=\frac{x}{2}}$

1.b) Write the function La(x) representing the length of the bell pepper patch.

In this case Melissa wants its length to exceed the length of the tomato patch by 2 feet. To do this we enlarge the length of the tomato patch 2 feet. Therefore the function is the following:

 $\boxed{La(x)=x+2}$

2. Area of the bell pepper patch in terms of x.

Given that the bell pepper patch is a rectangle, then the area of a rectangle is the product of the length and width. So:

 $A=(\frac{x}{2})(x+2) \\ \\ \therefore \boxed{A=\frac{x(x+2)}{2}}$

3. Combined area of the tomato patch and the bell pepper patch.

This function is the sum of both the area of the tomato patch and the bell pepper patch. So:

 $Aar(x)=x^{2}+\frac{x(x+2)}{2} \rightarrow Aar(x)=x^{2}+ \frac{x^{2}}{2}+x \rightarrow Aar(x)=\frac{3x^{2}}{2}+x \\ \\ \therefore \boxed{Aar(x)=\frac{x(3x+2)}{2}}$

4. Write the function Aa(x) for the remaining planting area in the garden.

The remaining planting area in the garden are the rectangles in red. So we need to subtract the width of the bell pepper patch from the width of the tomato patch and multiply it by 2. In mathematical language this is given by:

 $Aa(x)=2(x-\frac{x}{2}) \rightarrow Aa(x)=x$

5. Find the area of the remaining space in the garden after planting tomatoes and bell peppers.

Given that Melissa wants the area of the bell pepper patch to be 31.5 square feet, then it is true that:

 $31.5=\frac{x(x+2)}{2} \rightarrow x^{2}+2x-64=0 \\ \\ solving \ for \ x: \\ x=7.06$

Therefore the area of the remaining space is:

 $\boxed{Aa(7.06)=7.06ft^{2}}$

6 0

3 years ago

Fill in the missing number. 6 x 4 =( x 4) + (3 x 4)

amid [387]

Answer:

6x4= 24

x4)+(3x4)=12

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7 0

3 years ago