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m_a_m_a [10]
3 years ago
9

From MATH workbook 2B ​

Mathematics
1 answer:
Andrej [43]3 years ago
5 0

Answer:

Step-by-step explanation:

remember the rules of dividing the same base with different powers,

4^5/4^3=4^{5-3} =4^2

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Fill in the blanks to complete the sentences below. (a) As the number of samples​ increases, the proportion of​ 95% confidence i
schepotkina [342]

Answer:

a) the proportion of​ 95% confidence intervals that include the population proportion approaches 0.95

b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion

Step-by-step explanation:

a)

Given the the data in the question, confidence level is 95%.

In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.

b)

Given the the data in the question, confidence level is 95% and sample proportion

we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.

The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.

hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion

hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion

7 0
3 years ago
Select the two values of x that are roots of this equation.<br>x + 2x - 6 = 0​
VLD [36.1K]

For this case we must solve the following quadratic equation:

x ^ 2 + 2x-6 = 0

Where:

a = 1\\b = 2\\c = -6

The solution is given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Substituting:

x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 24}} {2}\\x = \frac {-2 \pm \sqrt {28}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 7}} {2}\\x = \frac {-2 \pm2 \sqrt {7}} {2}\\x = -1 \pm \sqrt {7}

Thus, we have two roots:

x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}

ANswer:

x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}

8 0
4 years ago
HELP
alexdok [17]

Answer:

sairam will have to work around 18.18 hours at coffee shop to get 200$

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
In a basketball game, a regular basket is worth 2 points and a long distance basket is worth 3 points. There were 54 baskets in
Alla [95]

Answer:

The system of equations for the given situation is:

x+y=54

2x+3y=118

Step-by-step explanation:

Given:

Regular basket is worth = 2 points

Long distance basket  is worth =3 points

Total baskets in a game = 54

Total points in total = 118

x\rightarrow represents the number of regular baskets

y\rightarrow represents the number of long distance baskets.

Expression for total baskets can be given by ⇒ x+y

Thus first equation representing total baskets in a game is given by:

x+y=54

Since a regular basket is worth 2 points

So x regular baskets would be worth =2x points

Since a long distance basket is worth 3 points

So y long distance baskets would be worth =3y points

Expression for total points in a game can be given by ⇒ 2x+3y

Thus second equation representing total points in a game is given by:

2x+3y=118

∴ The system of equations for the given situation is:

x+y=54

2x+3y=118

3 0
3 years ago
Need the answer on this ​
denpristay [2]
None of the answers are correct because it’s definitely not “Given” because x=20 is like an answer. It’s also not “Distributive Property”, “subtraction Property”, and or “Additional Property” b/c there’s nothing that can be distributed, subtract or add. It’s just an answer.
3 0
3 years ago
Read 2 more answers
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