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Shalnov [3]
3 years ago
10

an office building in the form of a right rectangular prism with a height of 200 m, a length of 60 and a width of 40 m. the uppe

r quarter of each vertical face of the building must be covered with a large banner promoting a sports event. what will be the surface of the surface covered by the streamer
Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0

The surface area of the surface the streamer covered is 11,200 square units.

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Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular​
Digiron [165]
In order to make them perpendicular, their dot product must result in zero. so:

4 \times 2 - 2a - 2 \times 1 = 0

2a = 8 - 2 = 6

a = 3
7 0
3 years ago
The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and stand
Llana [10]

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})

P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})

P(X > 1560) = P(Z > \dfrac{110}{220})

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean \mu_x = np = 52 × 0.3085 = 16.042

The standard deviation =  \sqrt {n \time p (1-p)}

The standard deviation = \sqrt {52 \times 0.3085 (1-0.3085)}

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})

Pr ( Y > 20) = P(Z >1 .338)

From z tables

P(Y > 20) \simeq 0.0903

7 0
3 years ago
Vocabulary Is every relation also a function? Explain.
mash [69]

Answer:

It is B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
-2x-2+x^2+x+180+-2x-2=180
Dominik [7]

Answer:

x= 4, -1

Step-by-step explanation:

-2x - 2 + x^2 + x + 180 - 2x - 2 = 180

add like terms and put in descending order

x^2 - 3x + 176 = 180

subtract 180 from both sides

x^2 - 3x - 4 = 0

factor out the equation

(x-4)(x+1)=0

solve for x

x-4=0        x+1=0

x=4            x=-1

5 0
3 years ago
If 86 is added to a number the result is 56 less than twice the number, find the exact number, Do not round!
vredina [299]
The number is 142
you first make an equation ;
86+x=2x-56
Add 56 to both sides
142+x=2x
Subtract x from both sides
142=x
7 0
4 years ago
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