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eimsori [14]
2 years ago
5

What is the value of x?

Mathematics
1 answer:
vaieri [72.5K]2 years ago
4 0

Answer:

x=54

Step-by-step explanation:

These angles are vertical angles, which means they are equal

2x+2 = 3x-52

Subtract 2x from each side

2x+2-2x = 3x-52-2x

2 =x-52

Add 52 to each side

2+52 = x-52

54=x

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x = 6
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What is the slope of the line represented by the following equation​
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Step-by-step explanation:

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Write the number which is a third of the way from -2 to -7?
artcher [175]

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3 years ago
A veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses
Licemer1 [7]

Answer:

Probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.

Step-by-step explanation:

We are given that a veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses with colic is 12 years. The average age of all horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of all horses coming to the veterinary clinic is 8 years.

So, firstly according to Central limit theorem the z score probability distribution for sample means is given by;

                    Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = average age of the random sample of horses with colic = 12 yrs

            \mu = average age of all horses seen at the veterinary clinic = 10 yrs

   \sigma = standard deviation of all horses coming to the veterinary clinic = 8 yrs

         n = sample of horses = 60

So, probability that a sample mean is 12 or larger for a sample from the horse population is given by = P(\bar X \geq 12)

   P(\bar X \geq 12) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{12-10}{\frac{8}{\sqrt{60} } } ) = P(Z \geq 1.94) = 1 - P(Z < 1.94)

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Therefore, probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.

4 0
3 years ago
Of the 50 students in an undergraduate statistics class, 60% send email and/or text messages during any given lecture. They have
sasho [114]

Answer:

0.3 or 30%

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P = 0.5*0.6 = 0.3

The probability is 0.3 or 30%.

7 0
3 years ago
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