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Kipish [7]
3 years ago
13

What is the solution for the following system of equations?5x + 7y = 32x + 3y = 1

Mathematics
1 answer:
spayn [35]3 years ago
6 0
<span>A) 5x + 7y = 3
B) 2x + 3y = 1

Multiplying Equation B by -2.5
</span><span>B) -5x -7.5y = -2.5 Then adding this to Equation A)
A) 5x + 7y = 3</span>

-.5y  = .5
y = -1

Since
<span>2x + 3y = 1 then
2x -3 = 1
then x = 2

</span>
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Five percent of all vcrs manufactured by a large electronics company are defective. a quality control inspector randomly inspect
harkovskaia [24]
Binomial
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n=10)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (defective/normal)3. Probability is known and remains constant throughout the trials (p=5%)4. All trials are random and independent of the others (assumed from context)The number of successes, x, is then given byP(x)=C(n,x)p^x(1-p)^{n-x}whereC(n,x)=\frac{n!}{x!(n-x)!}
Substituting values, p=0.05, n=10, X=exactly 1
for X=1 (defective out of n)
P(X=1)=C(10,1)0.05^1*(1-0.05)^(10-1)
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7 0
2 years ago
If sin (x-3)° = cos (2x + 6)°, then what is the value of x?
Travka [436]

Answer:

if sin (x-3) degrees = cos (2x+6) degrees, find the value of x.

----------

Note: sin and cos are complementary functions....

sin(x) = cos (90-x)

-------------------

Your Problem:

sin(x-3) = cos(90-(x-3))

Equation:

90-[x-3] = 2x+6

90-x+3 = 2x+6

3x = 93-6

x = 31-2

x = 29

Step-by-step explanation:

6 0
3 years ago
What would be the actual length, if the length of the model is 25 ft and the scale factor is less
Sidana [21]

Answer:

20ft

Explanation:

You multiply the model length by the scale factor to find the actual length. <u>If the scale factor is less than zero, then the actual size will be smaller than the model</u>. Therefore, your answer would be 20ft.

Specifically, the scale factor is .8 if the actual size is 20ft, 1 if the actual size is 25ft, and 1.2 if the actual size is 30ft.

6 0
3 years ago
Find the value of x.
asambeis [7]

Answer: 3

Step-by-step explanation:

4x+23=7x+14

4x-7x=14-23

-3x=9

x=9/3

x=3

7 0
2 years ago
What is the simplified form of √10,000x^64?
kow [346]
<span>c. 100x^8 because the square root or 10k is 100 and 64 is 8

</span>
8 0
3 years ago
Read 2 more answers
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