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MakcuM [25]
2 years ago
5

What is the Value of X

Mathematics
1 answer:
Readme [11.4K]2 years ago
4 0

Answer:

B

Step-by-step explanation:

for the lines to be parallel , then

8x - 14 and 2x + 54 are same- side interior angles and sum to 180°, that is

8x - 14 + 2x + 54 = 180

10x + 40 = 180 ( subtract 40 from both sides )

10x = 140 ( divide both sides by 10 )

x = 14

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3 years ago
An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An elect
BartSMP [9]

Answer:

D

Step-by-step explanation:

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3 years ago
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3 years ago
The heights of a certain population of corn plants follow a normal distribution with mean 145 cm and stan- dard deviation 22 cm
Firdavs [7]

Answer with explanation:

Given : The heights of a certain population of corn plants follow a normal distribution with mean \mu=145\ cm and standard deviation \sigma=22\ cm

a) Using formula z=\dfrac{x-\mu}{\sigma}, the z-value corresponds to x= 135 will be

z=\dfrac{135-145}{22}\approx-0.45

At x= 155, z=\dfrac{155-145}{22}\approx0.45

The probability that plants are between 135 and 155 cm tall :-

P(-0.45

Hence, 34.73% of the plants are between 135 and 155 cm tall.

b) Sample size : n= 16

Using formula z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}, the z-value corresponds to x= 135 will be

z=\dfrac{135-145}{22}{\sqrt{16}}\approx-1.82

At x= 155, z=\dfrac{155-145}{22}{\sqrt{16}}\approx1.82

The probability that plants are between 135 and 155 cm tall :-

P(-1.82

Hence,The percentage of the samples would the sample mean height be between 135 and 155 cm.= 93.12%  

4 0
4 years ago
If y= x3 +3 find the value of y when X = -1
chubhunter [2.5K]
y = x^3 + 3 \\\\y = (-1)^3 + 3\\\\ y = -1 + 3\\\\ y = 2
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3 years ago
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