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sammy [17]
3 years ago
7

Help me with inequality

Mathematics
2 answers:
Hoochie [10]3 years ago
6 0

Answer:

  C.  x > 3

Step-by-step explanation:

As long as you don't multiply or divide by any negative numbers*, <em>you can solve this the same way you would an equation</em>.

  3x +2 > x +8

  3x > x +6 . . . . . . subtract 2

  2x > 6 . . . . . . . . subtract x

  x > 3 . . . . . . . . . .divide by 2; matches choice C

_____

* The complete rule is "as long as you don't use any order-changing operations, ...". There are some functions you can apply to both sides of the inequality that will change the ordering. Multiplication or division by a negative number is only one of many.

  1 < 2

  -1 > -2 . . . . . multiplication by -1 reverses the order

almond37 [142]3 years ago
3 0

Answer:

x > 3

Answer C is correct

Step-by-step explanation:

3x + 2 > x + 8 \\ 3x - x >  - 2 + 8 \\ 2x > 6 \\  \frac{2x}{2}  >  \frac{6}{2}  \\ x > 3

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>

<em>brainliest</em><em> </em><em>appreciated</em>

<em>good</em><em> </em><em>luck</em><em>!</em><em> </em><em>have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em>

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Complete the parts in each step to find the area of each trapezoid?
Sergio039 [100]

The area of the trapezoid is 20 in².

Solution:

Given data:

Length of the bottom base = 7 in

Length of the top base = 3 in

Height of the trapezoid = 4 in

Step 1: Area of the trapezoid formula,

$A=\frac{b_{1}+b_{2}}{2} \times h

Step 2: Substitute the given values in the formula.

$A=\frac{7+3}{2} \times 4

Step 3: Add 7 and 3.

$A=\frac{10}{2} \times 4

Step 4: Divide 10 by 2, we get

A=5 \times 4

Step 5: Multiply 5 by 4, we get

A = 20 in²

The area given in the picture is wrong.

The area of the trapezoid is 20 in².

8 0
2 years ago
Final questions I'm asking if you've been keeping up. Thanks in advance.
GaryK [48]
Question 3 is D and question 4 is c for what I tell of the pictire
5 0
3 years ago
We have n = 100 many random variables Xi ’s, where the Xi ’s are independent and identically distributed Bernoulli random variab
777dan777 [17]

Answer:

(a) The distribution of X=\sum\limits^{n}_{i=1}{X_{i}} is a Binomial distribution.

(b) The sampling distribution of the sample mean will be approximately normal.

(c) The value of P(\bar X>0.50) is 0.50.

Step-by-step explanation:

It is provided that random variables X_{i} are independent and identically distributed Bernoulli random variables with <em>p</em> = 0.50.

The random sample selected is of size, <em>n</em> = 100.

(a)

Theorem:

Let X_{1},\ X_{2},\ X_{3},...\ X_{n} be independent Bernoulli random variables, each with parameter <em>p</em>, then the sum of of thee random variables, X=X_{1}+X_{2}+X_{3}...+X_{n} is a Binomial random variable with parameter <em>n</em> and <em>p</em>.

Thus, the distribution of X=\sum\limits^{n}_{i=1}{X_{i}} is a Binomial distribution.

(b)

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

The sample size is large, i.e. <em>n</em> = 100 > 30.

So, the sampling distribution of the sample mean will be approximately normal.

The mean of the distribution of sample mean is given by,

\mu_{\bar x}=\mu=p=0.50

And the standard deviation of the distribution of sample mean is given by,

\sigma_{\bar x}=\sqrt{\frac{\sigma^{2}}{n}}=\sqrt{\frac{p(1-p)}{n}}=0.05

(c)

Compute the value of P(\bar X>0.50) as follows:

P(\bar X>0.50)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{0.50-0.50}{0.05})\\

                    =P(Z>0)\\=1-P(Z

*Use a <em>z</em>-table.

Thus, the value of P(\bar X>0.50) is 0.50.

8 0
3 years ago
12x-39&lt;9 and -4x+3&lt;-6
gulaghasi [49]
Remember, you can do anything to an equation as long as you do it to both sides


and when multiply or divide by a negative in inequalities, flip the direction of the sign

12x-39<9
add 39 to both sides
12x<48
divde bothh sides by 12
x<4



-4x+3<-6
minus 3 both sides
-4x<-9
times both sides by -1 and flip sign
4x>9
divide both sides by 4
x>9/4
4 0
3 years ago
Read 2 more answers
Lowest common multiple of 9
ch4aika [34]
Is 3.

3×3=9

Hope this helps!
3 0
3 years ago
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