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MariettaO [177]
3 years ago
9

The heights of North American women are nor-mally distributed with a mean of 64 inches and a standard deviation of 2 inches. a.

b. c. What is the probability that a randomly selected woman is taller than 66 inches
Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

Answer:

0.1587

Step-by-step explanation:

Given the following :

Mean (m) of distribution = 64 inches

Standard deviation (sd) of distribution = 2 inches

Probability that a randomly selected woman is taller than 66 inches

For a normal distribution :

Z - score = (x - mean) / standard deviation

Where x = 66

P(X > 66) = P( Z > (66 - 64) / 2)

P(X > 66) = P(Z > (2 /2)

P(X > 66) = P(Z > 1)

P(Z > 1) = 1 - P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 ( from z distribution table)

1 - P(Z ≤ 1) = 1 - 0.8413

= 0.1587

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Answer:

The gallons of gas the tank contain now is <u>35 1/12</u>.

Step-by-step explanation:

Given:

Fuel tank contains 1 3/4 gallons of gasoline.

Casey adds 33 1/3 gallons of  gasoline to the tank.

Now, to find the total gallons of gas the tank contain.

Converting the mixed fractions into improper.

Gallons of gasoline in fuel tank =1\frac{3}{4}=\frac{7}{4}.

Gallons of gasoline Casey adds =33\frac{1}{3} =\frac{100}{3}.

<u>According to question:</u>

By adding we get the total gallons of gasoline now tank contain:

\frac{7}{4} +\frac{100}{3}

=\frac{7\times 3+100\times 4}{12}

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=\frac{421}{12}

=35\frac{1}{12}

Therefore, the gallons of gas the tank contain now is 35 1/12.

5 0
3 years ago
Paul graphs the equation y = 2x where does the graph intersect the y axis
MakcuM [25]

Answer:

(0,0)

Step-by-step explanation:

Y = 2x is a <u>proportional</u> relationship because it follows the form y = kx, where k = constant of proportionality. Proportional relationships intersect the y-axis at (0,0), thus having a y-intercept of 0, but we usually don't write the 0.

Given the information above, y = 2x intersects the y-axis at (0,0), the origin.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0
2 years ago
Write a proof for the conjecture using the contrapositive. <br> If 5x + 7 = -13, then x = -4.
KonstantinChe [14]

Answer:

ans x=4

Step-by-step explanation:

  • 5x + 7 = -13
  • 5x = -13 -7
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3 0
2 years ago
Find the projection of u onto v<br> URGENT HELP
padilas [110]

Given:

Two vectors are:

u=\left

v=\left

To find:

The projection of u onto v.

Solution:

Magnitude of a vector v=\left is:

|v|=\sqrt{a^2+b^2}

Dot product of two vector v_1=\left and v_2=\left is:

v_1\cdot v_2=a_1a_2+b_1b_2

Formula for projection of u onto v is:

Proj_vu=\dfrac{u\cdot v}{|v|^2}v

Proj_vu=\dfrac{\left \cdot \left }{(\sqrt{2^2+17^2)^2}}\left

Proj_vu=\dfrac{0\cdot 2+6\cdot 17}{4+289}\left

Proj_vu=\dfrac{0+102}{293}\left

On further simplification, we get

Proj_vu=\dfrac{102}{293}\left

Proj_vu=\left

Proj_vu=\left

Therefore, the projection of u onto v is Proj_vu=\left.

3 0
3 years ago
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luda_lava [24]

Answer:

The perimeter is 37 inches (3 ft. 1 in.)

Step-by-step explanation:

24 + 13 = 37

12 x 2 = 24

6.5 x 2 = 13

4 0
2 years ago
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