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aniked [119]
2 years ago
6

Do parallel lines that are not vertical have the same slope? Yes or no

Mathematics
1 answer:
Natalija [7]2 years ago
4 0

Answer:

Yes

Step-by-step explanation:

If the lines were vertical, the slope would be undefined (you can't divide by 0).

If the lines were otherwise, the lines have the same slope if they are parallel.

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2(6x4) + 2(6x2.4n) + 2(4x2.4n) what is the value of n
AleksandrR [38]

Hey there!

2(6 * 4) + 2(6 * 2.4n) + 2(4 * 2.4n) 

= 2(24) + 2(14.4n) + 2(9.6n)

= 48 + 28.8n + 19.2n

= 48 + 48n

= 48n + 48


Thus, your answer should be: 48n


Good luck on your assignment and enjoy your day!


~Amphitrite1040:)


6 0
2 years ago
A triangle has angle measures of 18° and 57°. What is the measure of the third angle?
Pachacha [2.7K]

Answer:

105°

Step-by-step explanation:

Measure of the third angle

= 180° - 18° - 57° (angle sum of triangle)

= 105°

5 0
2 years ago
In studies for a​ medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.
timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

p = 0.03

q = 1 - 0.03 = 0.97

The mean is

\mu  = np

\mu = 643 \times 0.03 = 19.29

The standard deviation is

\sigma =  \sqrt{npq}

\sigma =  \sqrt{643 \times 0.03 \times 0.97}

\sigma =4.33

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \:  \frac{24.5 - 19.29}{4.33} ) \\  = P( 0.97\: < \: z \: < \:  1.20) \\  = 0.051

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

P(X \: < \: 24.5) = P(z \: < \:  \frac{24.5 - 19.29}{4.33} )  \\ =   P(z \: < \: 1.20)  \\  = 0.8849

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

P(X \: > \: 10.5) = P(z \: > \:  \frac{10.5 - 19.29}{4.33} )  \\ = P(z \: > \:  - 2.03)

= 0.9788

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

P(23.5  \:  <  \: X \:  <  \: 28.5) = P( \frac{23.5 - 19.29}{4.33}   \:  <  \: z \:  <  \:  \frac{28.5 - 19.29}{4.33} ) \\  = P( 0.97\:  <  \: z \:  <  \: 2.13) \\  = 0.1494

3 0
3 years ago
5 x 1 please?? im teaching my cousin right now
Pachacha [2.7K]
Tell your cousin good luck and that the answer is 5 :)
4 0
2 years ago
Read 2 more answers
How many zeros does this polynomial function, y=(x-8)(x+3)^2
lidiya [134]

Answer:

3

Step-by-step explanation:

The factor (x - 8) has 1 zero at x = 8

The factor (x + 3)² has a zero at x = - 3 of multiplicity 2

In total there are 3 zeros


3 0
3 years ago
Read 2 more answers
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