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balandron [24]
3 years ago
9

How many solutions does this linear system have?

Mathematics
1 answer:
ki77a [65]3 years ago
8 0

Answer:

work is shown and pictured

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in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16
yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

<em>Let </em>\bar X<em> = sample mean height</em>

The z-score probability distribution for sample mean is given by;

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

where, \mu = population mean height = 69 inches

            \sigma = population standard deviation = 2.8 inches

            n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P(\bar X < 68 inches)

 P(\bar X < 68 inches) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{68-69}{\frac{2.8}{\sqrt{16} } } ) = P(Z < -1.43) = 1 - P(Z \leq 1.43)

                                                           = 1 - 0.9236 = 0.0764

<em>Now, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0
3 years ago
Are these right?!?! Cannot fail
jolli1 [7]
The first one is correct but I don’t know about the second one
4 0
3 years ago
Evaluate please<br> 2x+(−6)∙(y+1) for x=−1.5 and y=−3
Andreyy89
First, you plug your given values in. Since x is 1.5, it will be multiples by 2x to get 3.2. Since y is -3, it will be added to 1 to get -2. Finally, the two are multiplied together to get -6.4 if I am correct. 
8 0
3 years ago
Read 2 more answers
Solve for x.round ur anwser to the nearest tenth
NeX [460]

Answer:

440

Step-by-step explanation:

it has the nearest tenth value is 90 so 90-50=40 and 40*11=440

7 0
3 years ago
At Ivy's U-pick Blueberry patch, It Costs $3 to rent a bucket, plus $5 Per Pound of Blueberrys you pick. write an expression to
Sever21 [200]

Answer:

C = $5p + $3       where C is the final cost, and p is the number of pounds of blueberries you pick

Step-by-step explanation:

They charge a flat rate of $3 just for the bucket, and 5 per pound.  

5p represents how much you'll pay based on how many pounds you pick, each pound costs $5,

C = $5p + $3    means the Cost is $5 per pound (p) plus $3 for the bucket

5 0
3 years ago
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