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alexandr402 [8]
3 years ago
10

Write a linear function f with the values f(−1)=8 and f(5)=6.

Mathematics
1 answer:
Georgia [21]3 years ago
6 0

Answer:

f(x)=-1/3x+7 2/3

Step-by-step explanation:

Find the slope:

m= -1/3

Find the y-intercept:

b= -7 2/3

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A runner ran 3000 m in exactly 8 minutes. What was his average speed in meters per second?
Scilla [17]
8 minutes has 8*60 or 480 seconds. If we divide 3000 meters by 480 seconds, we get an average speed of 6.25 m/s.

Answer is D.
7 0
3 years ago
What is 4 divided by 29 in decimal ok
mel-nik [20]
That would be 0.14 after rounding up from 0.1379
8 0
4 years ago
Read 2 more answers
From experience, it is known that on average 10% of welds performed by a particular welder are defective. if this welder is requ
bulgar [2K]
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe 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)!}
Here we're given
p=0.10  [ success = defective ]
n=3

(a) x=0
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,0)0.1^0(1-0.1)^{3-0}
=1(1)(0.729)
=0.729

(b) x=2
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,2)0.1^2(1-0.1)^{3-2}
=3(0.01)(0.9)
=0.027

(c) x ≥ 2
P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}
=P(2)+P(3)
=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}
=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}
=3(0.01)(0.9)+1(0.001)1
=0.027+0.001
=0.028


8 0
3 years ago
Which two points on the number line represent numbers that can be combined to make zero?
AnnZ [28]

Answer:

option (D) is the right answer

6 0
3 years ago
B. The sum of three numbers is 51. The second number is three more than the first number, and the third number is
Svetach [21]

Answer:

12, 15, 24

Step-by-step explanation:

Let 1st # = x

Let 2nd # = x+3

Let 3rd # = 2x

Your equation is: x + (x+3) + 2x = 51

Add up all the x: x + x +3 +2x =51

Subtract 3 from both sides: 4x + 3 - 3 = 51 - 3

Divide 4 from both sides: 4x / 4 = 48 / 4

Your 1st number is x = 12

For the 2nd # it is 3 more than x so 12 + 3 = 15

For the 3rd # it is 2 times x so 2(12) = 24

Check your answers by adding up the numbers you solved: 12 + 15 +24 = 51

Does it equal to 51 as stated in the question? Yes, answers check out.

7 0
3 years ago
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