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3 years ago

An artist is cutting pieces of glass for a stained glass window. Please help!

Mathematics

1 answer:

Shtirlitz [24]3 years ago

5 0

Answer:

35°

Step-by-step explanation:

The important information is that the angle is complementary to the angle 55°. A complementary angle is and angle plus another that equal 90°.

55° + x° = 90°

x = 35°

You might be interested in

. A retailer buys pants at $22.00 and sells them for $26.40 The percent of markup on cost is 50 percent. 13 percent. 20 percent.

lana [24]

22 = 100%
26,40 = x%

26,4*100/22=120%
x=120%

120%-100%=20%
The answer is 20%

8 0

3 years ago

In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p

skelet666 [1.2K]

Answer:

$\mathbf{P(X=5) =0.0888}$

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

$\mathtt{P(X=x) =(^{n}_{x} ) \ \pi^x \ (1-\pi)^{n-x}}$

$\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} ) \ \pi^x \ (1-\pi)^{n-x}}$

where;

n = 8 and π = 0.36

For x = 5

The probability $\mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} ) \ 0.36^5 \ (1-0.36)^{8-5}}$

$\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} ) \ 0.36^5 \ (0.64)^{3}}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =({8 \times 7 } ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =0.0887645}$

$\mathbf{P(X=5) =0.0888}$ to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5) $\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})$

${P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times (0.36)^0 \times (1-0.36)^8 \ ) + \dfrac{8!}{1!(7!)} \times (0.36)^1 \times (1-0.36)^7 \ +$ $\dfrac{8!}{2!(6!)} \times (0.36)^2 \times (1-0.36)^6 \ + \dfrac{8!}{3!(5!)} \times (0.36)^3 \times (1-0.36)^5 + \dfrac{8!}{4!(4!)} \times (0.36)^4 \times (1-0.36)^4 \ + \dfrac{8!}{5!(3!)} \times (0.36)^5 \times (1-0.36)^3 \ )$

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1 - P( x ≤ 5 )

P ( x ≥ 6) = 1 - 0.9707

P ( x ≥ 6) = 0.0293

4 0

3 years ago

Which of the following expressions represents the distance between -13 and -4 on a number line

lesya692 [45]

Answer:

Step-by-step explanation:

The formula of a distance between two points (numbers) A and B on the number line:

d = |B - A| = |A - B|

We have A = -13 and B = -4. Substitute:

d = |-13 - (-4)|

6 0

3 years ago

A-8<br> B-16<br> C-12<br> Please help guys.

Ksju [112]

Its c the answer is c because 8+4 is 12 and if you get rid of the angle and move the line so it’s straight it would be both 8 and 4

6 0

2 years ago

What is the answer 5(x-4)=3x+4

ruslelena [56]

Step-by-step explanation:

Simplify the left side:

5x - 20 = 3x + 4

Move all terms containing x to the left side of the equation:

2x - 20 = 4

Move all terms not containing x to the right side of the equation:

2x = 24

Divide each term by 2 and simplify:

x = 12

4 0

3 years ago

Read 2 more answers