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scZoUnD [109]
3 years ago
5

Marylou is blowing up a beach ball. The package says that the ball has a diameter of 12 inches. What is the volume of the beach

ball when it is completely full? Use 3.14 for PI . A. 452.16 cubic inches B. 904.32 cubic inches C. 301.44 cubic inches D. 7,234.56 cubic inches
Mathematics
1 answer:
elena55 [62]3 years ago
4 0
V = 4/3 x 3.14 x 6³
V = 904.32

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A large number of applicants for admission to graduate study in business are given an aptitude test. Scores are normally distrib
DiKsa [7]

Answer:

The fraction or percentage of the applicants that we would expect to have a score of 400 or above is 77.34%

Step-by-step explanation:

Scores are normally distributed with a mean of 460 and a standard deviation of 80. For a value x, the associated z-score is computed as z = \frac{x-460}{80}, therefore, the z-score for 400 is given by z_{0} = (400-460)/80 = -0.75. To compute the fraction of the applicants that we would expect to have a score of 400 or above, we should compute the probability P(Z > -0.75) = 0.7734, i.e., the fraction or percentage of the applicants that we would expect to have a score of 400 or above is 77.34%

8 0
3 years ago
What figure is shown in the drawing ? JH , JK , EJ , EK
Nat2105 [25]

Answer:

I believe it is jk the figure?

6 0
3 years ago
The equation of line S is y = 8x − 7 .
LenKa [72]

Answer:

y = 8x + 9

Step-by-step explanation:

Parallel lines have the same gradient,

So m = 8

y = 8x + c

When x = -1 ,y = 1

1 = 8(-1) + c

c = 9

y = 8x + 9

6 0
3 years ago
Read 2 more answers
Someone please answer this, I would really be appreciative.
Iteru [2.4K]

Answer:

y-30 = 3(x-1)

Step-by-step explanation:

Point-slope form of an equation is

y-y1 = m(x-x1)  where (x1,y1 ) is a point and m is the slope

We know on day 1 they exercised 30 minutes (1,30) where x is the number of days and y is the minutes.  The rate increased 3 minutes each day so m = 3

y-30 = 3(x-1)

3 0
2 years ago
Solve this identity, where the angles involved are acute angles.
Bas_tet [7]

We have proven that the trigonometric identity [(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] equals 1 + (secθ * cosec θ)

<h3>How to solve Trigonometric Identities?</h3>

We want to prove the trigonometric identity;

[(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] = 1 + sec θ

The left hand side can be expressed as;

[(tan θ)/(1 - (1/tan θ)] + [(1/tan θ)/(1 - tan θ)]

⇒ [tan²θ/(tanθ - 1)] - [1/(tan θ(tanθ - 1)]

Taking the LCM and multiplying gives;

(tan³θ - 1)/(tanθ(tanθ - 1))

This can also be expressed as;

(tan³θ - 1³)/(tanθ(tanθ - 1))

By expansion of algebra this gives;

[(tanθ - 1)(tan²θ + tanθ.1 + 1²)]/[tanθ(tanθ(tanθ - 1))]

Solving Further gives;

(sec²θ + tanθ)/tanθ

⇒ sec²θ * cotθ + 1

⇒ (1/cos²θ * cos θ/sin θ) + 1

⇒ (1/cos θ * 1/sin θ) + 1

⇒ 1 + (secθ * cosec θ)

Read more about Trigonometric Identities at; brainly.com/question/7331447

#SPJ1

3 0
2 years ago
Read 2 more answers
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