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natka813 [3]
3 years ago
12

Suppose ACT Science scores are normally distributed with a mean of 20.8 and a standard deviation of 5.2. A university plans to s

end letters of recognition to students whose scores are in the top 12%. What is the minimum score required for a letter of recognition? Round your answer to the nearest tenth, if necessary.
Mathematics
2 answers:
erik [133]3 years ago
3 0

Answer:

20.854

Step-by-step explanation:

Pachacha [2.7K]3 years ago
3 0

Answer:

Hello,

Answer 26.9

Step-by-step explanation:

z=\dfrac{x-m}{\sigma} \\m=20.8\\\sigma=5.2\\\\p(z>?)\geq 0.12\ \longrightarrow 1-p(z\leq ?)=(1-0.12))\\\\Using\ table\ of\ normal\ reduce\ with\ 4 \decimals : ?=1.175\\\\x=1.175*5.2+20.8=26.91\approx{26.9}

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Pythagorean theorem, I'm trying to fix my grade for school so I get my phone back
Harrizon [31]

If you would illustrate the problem, you will be able to formulate a triangle with the measurement of the hypotenuse (distance between the two shops) to be missing. Using the Pythagorean Theorem, the formula to compute for the hypotenuse is:

c = √a^2 + b^2

c = √(20)^2 + (13.5)^2

c = √400 + 182.25

c = √582.25

c = 24.13 km

Therefore, the distance between the two shops is approximately 24.13 km.

 

4 0
3 years ago
Read 2 more answers
a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the con
jolli1 [7]

The volume V_c of a cone  with base radius r_c and height h_c is

V_c = \dfrac{1}{3}\pi r_c^2 h_c

Similarly, the volume V_s of a sphere with radius r_s is

V_s = \dfrac{4}{3}\pi r_s^3

We know that V_c=V_s and that h_c=96

So, we can set up the following equation:

\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3

We can simplify the common denominator 3, and pi appearing on both sides:

96r_c^2=4r_s^3

We can divide both sides by 4:

24r_c^2=r_s^3

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.

3 0
4 years ago
Miller's Steakhouse offers 8 side dishes, 5 types of steak, and 4 toppings. How many different smothered steak dinners can be ma
horrorfan [7]

Answer:

1120

Step-by-step explanation:

To find the possible number of steak dinners, you would multiply the number of choices for each part of the dinner. You would used combinations instead of permutations since the order of the toppings chosen or side dishes chosen do not matter. There are 5 choose 1 choices for types of steak, which is just 5. There are 8 choose 3 choices for side dishes, which is 56. There are 4 choose 3 choices for toppings, which is 4. 5*56*4 is 1120, so there are 1120 possible steak dinners.

6 0
3 years ago
7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the
MakcuM [25]

Answer:30,000

Step-by-step explanation:

6 0
3 years ago
Use Pythagorean Theorem to find each missing length <br>please help with the steps
Montano1993 [528]
The first answer is going to be 15.42 (so b) and the second is going to be 10.67 (so a)
4 0
3 years ago
Read 2 more answers
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