Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 0.2 (to 2 decimal places)

Answer: -18

Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18

Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

2. For Vertical hyperbola:

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.

Answer:

Yes

Using SAS congruent property

Step-by-step explanation:

Answer:

Product for A = 046

Product for B = 0230

Sum for C = 0.0276

Step-by-step explanation:

We need to multiply the terms and find the answers

First we multiply 2 with 0.23, then we multiply 1 with 0.23

   0.23

x    0.12

-------------

     046

   0230

--------------

    .0276

Since there are 2 numbers after decimal in 0.23 and same for 0.12, so we place the decimal so that there are 4 decimal places.

Counting of decimal will start from the units place.

So, Product for A = 046

Product for B = 0230

Sum for C = 0.0276

Answer:

The probability that a person likes the color blue given that they are a woman=0.25%

Step-by-step explanation:

We are given that

The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]

The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]

We have to find the probability that a person likes the color blue given that they are a woman.

We know that

Conditional probability formula

[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]

The probability that a person likes the color blue given that they are a woman

=[tex]\frac{0.1}{0.4}[/tex]

[tex]=\frac{1}{4}=0.25[/tex]

Hence, the probability that a person likes the color blue given that they are a woman=0.25%

Answer: y=-1/3x+5

Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get  -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!