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loris [4]
2 years ago
10

(x-2)(x+3)=(x-2)(4-x)​

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
7 0

The value of x is 0.5

<h3>How to evaluate the equation?</h3>

The equation is given as:

(x -2)(x + 3) = (x - 2)(4 - x)

Divide both sides by x - 2

x + 3 = 4 - x

Evaluate the like terms

2x = 1

Divide by 2

x = 0.5

Hence, the value of x is 0.5

Read more about equations at:

brainly.com/question/2972832

#SPJ1

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3. Landon has 3 black shirts, 2 white shirts, and 2 blue shirts. He also has 2
IRINA_888 [86]

Answer:

3/5 probability. hope this helps

Step-by-step explanation:

6 0
3 years ago
The smaller of two consecutive even integers is two more than half of the greater. find the two integers.
lana [24]
Greetings and Happy Holidays! 

Let x represent the smaller, even integer.
Let (x+2) represent the larger, even integer.

We can create an algebraic equation to solve for the numbers:
x=\frac{(x+2)}{2}+2

Simplify:
x=\frac{1}{2}x+1+2

x=\frac{1}{2}x+3

Add \frac{-1}{2}x to both sides:
(x)+(\frac{-1}{2}x)=(\frac{1}{2}x+3)+(\frac{-1}{2}x)

(\frac{1}{2}x)=3

Divide both sides by \frac{1}{2}x
\frac{\frac{1}{2}x}{ \frac{1}{2}}=\frac{3}{\frac{1}{2}}

x=\frac{3}{1}(2)

x=\frac{6}{1}

The Answer Is:
\boxed{x=6}
and
x+2=6
\boxed{x=8}

The two consecutive even integers are 6 and 8.

I hope this helped!
-Benjamin
8 0
3 years ago
. The manager of a local small bank wants to estimate the average daily balance of all the checking accounts. Assume a random sa
MaRussiya [10]

Answer:

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

Step-by-step explanation:

Consider the provided information.

A random sample of 21 checking accounts at the bank are chosen,

That means n=21

df = n-1

df = 21-1=20

We need to  Construct and interpret a 95% confidence interval.

Determine t critical value for 95% confidence interval.

0.95=1-α

α=0.05

The sample size is small and it is a two tailed test.

From the t value table confidence interval is 2.086

An average daily balance is $303 and a standard deviation of $63.

CI=\bar x\pm t_c \times \frac{s}{\sqrt{n}}

Substitute the respective values.

CI=303\pm 2.086 \times \frac{63}{\sqrt{21}}

CI=303\pm 28.68

CI=274.32\ or\ 331.68

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

3 0
4 years ago
Help please this is due today
dangina [55]

The experimental probability that in a group of 4 students, at least one of them has brown eyes is 95%.

<h3>What is Experimental Probability?</h3>

Experimental probability is a probability that is determined on the basis of a series of experiments. A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial. The experiment is conducted to find the chance of an event to occur or not to occur.

Here , Favorable Outcome = 19

          Total outcomes = 20

Probability = Favorable Outcome/ Total Outcome

                   = 19 / 20

                   = 95%

Thus, the experimental probability that in a group of 4 students, at least one of them has brown eyes is 95%.

Learn more about Experimental Probability from:

brainly.com/question/15729871

#SPJ1

5 0
2 years ago
Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line i
kramer

Answer:

Step-by-step explanation:

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Proof:

Statement                                        Reason

m∠1 = 62°                                         Given

m∠1 , m∠2 are supplementary       t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary       r is a straight line hence linear pair.

Angle 2=180-62 = 118                      Definition of supplementary angles

Angle 4 = 180-118 =62                     -do-

Angle 1 = Angle 4                            Equality property

Hence proved

6 0
3 years ago
Read 2 more answers
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