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3 years ago

13

Test scores are normally distributed with a mean of 68 and a standard deviation of 12. Find the z – score for a grade of 74. Rou

nd your answer to two numbers after the decimal.

1 answer:

Tasya [4]3 years ago

6 0

Answer:

gang nem

Step-by-step explanation:

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An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

natima [27]

Answer:

Speed of the plane in still air: $779\; {\rm km \cdot h^{-1}}$ .

Windspeed: $100\; {\rm km \cdot h^{-1}}$ .

Step-by-step explanation:

Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be $(x - y)\; {\rm km \cdot h^{-1}}$ .
When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

Similarly, since the plane travels $7911\; {\rm km}$ in $9\; {\rm h}$ when travelling in the same direction as the wind ( $v = (x + y)\; {\rm km \cdot h^{-1}}$ ,) $9\, (x + y) = 7911$ .

Add the two equations to eliminate $y$ . Subtract the second equation from the first to eliminate $x$ . Solve this system of equations for $x$ and $y$ : $x = 779$ and $y = 100$ .

Hence, the speed of this plane in still air would be $779\; {\rm km \cdot h^{-1}}$ , whereas the speed of the wind would be $100\; {\rm km \cdot h^{-1}}$ .

3 0

2 years ago

*WILL GIVE BRAINLIST TO WHO EVER IS RIGHT!*

Scorpion4ik [409]

Answer:g(X)=2x^2-10

Step-by-step explanation:

If a function f(x) is translated 'c' units down then the equation of the translated function be f(x)-c

Here, f(x) is translated 2 units down to obtain g(x).

Hence, we have

g(x)=f(x)-2

=2x^2-8-2

=2x^2-10

8 0

3 years ago

Someone please help me

Inessa05 [86]

9514 1404 393

Answer:

A. 16°

Step-by-step explanation:

Angle E corresponds to angle N, the third angle in ∆MNO. Its measure is ...

∠N = 180° -∠M -∠O

∠N = 180° -99° -65°

∠N = ∠E = 16°

6 0

3 years ago

Somebody answer this for me please

Mamont248 [21]

X // Y, Y // Z,

By inference X // Z

The third option.

4 0

3 years ago

Vernon spent $229.06 for groceries, and paid for his purchase with five $50 bills. What amount of change should he has received?

Digiron [165]

Answer:$20.94

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers