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Vladimir [108]
3 years ago
13

Simplify the expression

Mathematics
1 answer:
Natalija [7]3 years ago
3 0

Step  1  :

 (23 x 2 -  5) • x 3

Step  2  :

Trying to factor as a Difference of Squares :

  Factoring:  8 x 2-5  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =  

        A2 - B2

Answer:

(8 x 2 - 5) • x 3

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The manager of a factory wants to compare the mean number of units assembled per employee in a week for two new assembly techniq
antoniya [11.8K]

Answer:

The most appropriate inferential statistic test in the present situation is the;

b. Two-sample t-test

Step-by-step explanation:

From the question, we have;

The number of subjects in each sample, n₁ = 100

The number of samples = 2

The nature of the test = To compare the two means

The value of the population standard deviation, σ = Unknown

From the given parameters, we have;

The t-test is a method of inferential statistics for determining whether the difference between the mean of two groups is significant, that is if the observed difference are due to chance, where the groups are likely to have some characteristics that are related

The t-test is utilized when testing an hypothesis, and it is used for small samples, where the population standard deviation is unknown

The types of t-test used are;

a) One-sample t-test

b) Two-sample t-test

c) Paired Sample t-test

Therefore, a two-sample t-test is most appropriate.

3 0
3 years ago
Curtis threw 15 darts at a dartboard.40% of his darts hit the bull’s eye.how many darts not hit the bulls eye?
Harlamova29_29 [7]

Answer:

9

Step-by-step explanation:

The number of darts that failed to hit the bulls eye is 40% of 15 subtracted from 15

Since 40% of the darts hit the bulls eye .

Therefore

40% of 15

40/100 x 15

0.4 x 15

6

This means that 6 darts hit the bulls eye.

Therefore,number of darts that did not hit the bulls eye is

15 - 6 = 9

9 darts failed to hit the bulls eye

7 0
3 years ago
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
evablogger [386]
4.902 written in expanded form is A
3 0
3 years ago
Read 2 more answers
Christine has $875.83 In her savings account the account pays 9% compounded monthly. Christine does not make any deposits or wit
Karolina [17]

Answer: the account earns interest of $40.16

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 875.83

r = 9% = 9/100 = 0.09

n = 12 because it was compounded 12 times in a year.

t = 6 months = 6/12 = 0.5 year

Therefore,.

A = 875.83(1+0.09/12)^0.5 × 12

A = 875.83(1+0.0075)^6

A = 875.83(1.0075)^6

A = 915.99

The interest that she earns is

915.99 - 875.83 = $40.16

7 0
3 years ago
What number am I? 3 ten thousands, 23 hundreds, 83 tens and 2 ones?
k0ka [10]
Well lets write it out

30,000

2,300

83

2

=32,385

all you had to do was add them
3 0
3 years ago
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