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3 years ago

state whether the lines represented by the equations y=1/2x-1 and y+4=-1/2(x-2) are parallel, perpendicular, or neither.

1 answer:

7 0

Parallel because they have the same slope. Y+4= -1/2(x-2) is in point slope form, simplified to y intercept form is y=1/2-5... The slope (m) in both equations is the same, if you graphed the equations they would be parallel

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Find the 14th term of the geometric sequence 2, 4, 8, ...2,4,8,...

Komok [63]

Answer:

14th term is 16,384

Step-by-step explanation:

I. When $a_{n} = a_{1}(r^{n-1} )$

If n = 14, a = 2 and r = 2

$a_{14} = 2(2^{14-1} )$

= 2( $2^{13}$ )

$a_{14}$ = 16,384

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3 years ago

If each cube in the rectangular prism measures 1 cubic inch, what is the volume of the prism?

algol13

The answer for that is A. 40 cubic in

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3 years ago

Risky Retzlaff is cutting it close! She has 20 minutes to get to her destination and it is 25 miles away. She drives 3/5 miles i

Anna35 [415]

Answer:y =

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3 years ago

How do I solve fo A when A/2m=9+H

Neko [114]

Answer:

Step-by-step explanation:

Simply multiply 2m both sides:

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Hope this helps!

4 0

3 years ago

Read 2 more answers

A Snapshot in USA Today indicates that 51% of Americans say the average person is not very considerate of others when talking on

Sergeu [11.5K]

Answer:

The approximate probability is $P(X > 0.52) = P(Z > 0.2 ) = 0.42074$

Step-by-step explanation:

From the question we are told that

The population proportion of Americans that say the average person is not considerate of others when talking on a cellphone is p = 0.51

The sample size is n = 100

Generally because the sample size is sufficiently large the mean of this sampling distribution is

$\mu_{x} = p = 0.51$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{ \frac{p(1 - p)}{n} }$

=> $\sigma = \sqrt{ \frac{ 0.51 (1 - 0.51)}{100} }$

=> $\sigma = 0.04999$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{52}{100}$

=> $\^ p = 0.52$

Generally the probability that 52 or more Americans would indicate that the average person is not very considerate of others when talking on a cellphone is mathematically represented as

$P(X > 0.52) = P( \frac{X - \mu_{x}}{\sigma} > \frac{ 0.52 - 0.51}{0.04999} )$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

=> $P(X > 0.52) = P(Z > 0.2 )$

From the z table the area under the normal curve corresponding to 0.2 to the right is

$P(X > 0.52) = P(Z > 0.2 ) = 0.42074$

6 0

3 years ago