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3 years ago

Solve the equation using the distributive property abd properties of equality -(a + 3)= -55

Mathematics

1 answer:

motikmotik3 years ago

8 0

Answer:

a=52

Step-by-step explanation:

-(a + 3)= -55

-(a) + -(3)= -55

-a - 3 (+3) = - 55+3

-a -3(+3) = -52

-a = - 52

a=52

-(a + 3)= -55

(a + 3)= 55

(a) + (3)= 55

a + 3(-3)= 55(-3)

a = 52

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Answer:

He used 17/3 feet = 5 and 2/3 feet

Step-by-step explanation:

∵ He bought 9 and 1/3 feet = 28/3 feet

∵ He had 3 and 2/3 feet left = 11/3 feet

∴ He used = 28/3 - 11/3 = 17/3 feet = 5 and 2/3 feet

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3 years ago

Find the length of ST In the kite.

kifflom [539]

Answer:

1.29

Step-by-step explanation:

The diagonals of a kite are perpendicular.

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2 years ago

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DanielleElmas [232]

Answer:

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Step-by-step explanation:

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2 years ago

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n200080 [17]

Answer:

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2 years ago

A recent study of 26 city residents showed that the time they had lived at their present address has a mean of 10.3 years with t

svetlana [45]

Answer:

The 95% confidence interval is $9.15< \mu < 11.45$

Step-by-step explanation:

From the question we are told that

The sample size is n = 26

The mean is $\= x = 10.3$

The standard deviation is $s = 3$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.96 * \frac{3}{\sqrt{26} }$

=> $E = 1.1532$

Generally 95% confidence interval is mathematically represented as

$\= x -E < \mu < \=x +E$

=> $10.3 -1.1532 < \mu < 10.3 + 1.1532$

=> $9.15< \mu < 11.45$

7 0

3 years ago