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wel
3 years ago
15

Find all solutions of the equation in the interval [0°, 360°). cos(x) = -1 ​

Mathematics
1 answer:
nika2105 [10]3 years ago
7 0

Answer:

180°

Step-by-step explanation:

cos(x) = - 1 has only 1 solution in the required interval , that is

x = cos^{-1} (- 1) = 180°

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Distance between -18 and -4
JulijaS [17]

Hey there! I'm happy to help!

To find the distance between two numbers, you simply subtract them!

-18--4

-18+4 (two negatives makes a positive)

-14.

Have a wonderful day! :D

4 0
3 years ago
for the fair, organizers order 32 rolls of tickets. each rolls has 100 tickets. how many tickets were ordered in all?
MatroZZZ [7]

Each roll has 100 tickets, and 32 were bought.

Multiply 32 with 100

32 x 100 = 3200

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6 0
3 years ago
Read 2 more answers
A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

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3 years ago
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1 Second is how long
8 0
3 years ago
3/2x-2=19 What does x equal?
dimaraw [331]
First, add 2 to both sides. You should have 3/2x=21. Multiply both sides by 2 which gives you 3x= 42. Divide by 3 and you have x=14
4 0
3 years ago
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