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natka813 [3]
3 years ago
5

Please help need answers asap!!!

Mathematics
1 answer:
Marizza181 [45]3 years ago
4 0
Can u specify more pleasee
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A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to be approximately Normally d
kompoz [17]

Answer:

c. 0.1151

Step-by-step explanation:

d) the probability that, on average, fish are larger than 86 centimeters in length.The area under part of a normal probability curve is  directly proportional to probability and the value is calculated as

z = (x₁−x) /σ

where z = propability of normal curve

x₁ = variate mean = 86cm

x = mean of 80cm

σ = standard deviation = 5cm

applying the formula,

z= (86-80)/5

z = 6/5 =1.2

Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 1.2 corresponds to an area of 0.3849 between the mean value. but, because the standard curve has 0.5, then will minus 0.3849 from 0.5= 0.5 - 0.3849 = 0.1151

Thus the probability of a fish are larger than 86 centimeters in length is 0.1151

5 0
4 years ago
Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)
Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P (x_0,y_0,z_0) is

z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

\\\\=\frac{1}{9-8}

= 1

Now

f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

= -8

So, the tangent equation is

z - 0 = 1\times (x - 9) -8\times (y - 1)

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

4 0
3 years ago
A motel charges Mr. Kim X dollars for his day, Mr. Kim stayed at the motel for 12 nights, if the rate per night for a room is Wh
Blababa [14]

Answer:

$X = $12y

Step-by-step explanation:

In this question, we are asked to give an expression to represent the amount of money charged to a man who stayed in a motel for a particular number of days.

Firstly, we need to know the amount of money charged per day. This is visible from

the question and it is equal to $y.

Secondly, the number of days/night stayed is 12 days. This means that the amount of money he was charged is 12 * y = $12y

Since the amount of money charged is equal to $x, the amount to pay can be expressed in terms of y and x to be

$X = $12y

6 0
4 years ago
Kenya applied for a bank loan. Kenya calculated he would pay $78.00 interest if the rate was 12%. Use the percent equation to fi
Morgarella [4.7K]

78 is 12% of what number

78 is 12% of c 650

8 0
2 years ago
Read 2 more answers
Convert 13.025 to base 10​
Lilit [14]

Answer:

Your question is in what base please?

8 0
3 years ago
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