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I am Lyosha [343]
3 years ago
9

What is the slope of the line graph below? (0,1)(-3,-1)

Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0

Answer:

The slope is 2/3

Step-by-step explanation:

To find the slope of a line

m = (y2-y1)/(x2-x1)

    = (1--1)/(0--3)

   = (1+1)/(0+3)

   = 2/3

Nataly_w [17]3 years ago
3 0

Answer:

The slope is 2/3 because slope=rise/run and in the graph we can see it rises 2 and runs 3

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A=is equal B=is equal C=Is equal D=is equal

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A circle with circumference 12 and has an arc with a 48, degrees central angle.What is the length of the arc?
Phantasy [73]

Answer:

0.1754596 ft

Step-by-step explanation:

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Pls help with this problem
madam [21]

Step-by-step explanation:

every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.

therefore,

angle XVY = 90°.

for VY we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).

XY = 2×ZY = 2×17 = 34.

so,

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2 years ago
1 minute is equal to 60 seconds. How many seconds are in 4 minutes, 14 seconds?
Svet_ta [14]

Answer:

254 seconds

Step-by-step explanation:

If 1 minute = 60 second

then

60 x 4 = 240 second

then add 14

240 + 14 = 254

Therefore, there are 254 second in 4 minutes and 14 seconds

7 0
3 years ago
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It is known that diskettes produced by a cer- tain company will be defective with probability .01, independently of each other.
zheka24 [161]

Answer:

1.27%

Step-by-step explanation:

To solve this problem, we may consider a binomial distribution where a customer can either accept or reject (and return) the diskette package.

Lets consider  some aspects:

1. From the formulation of the exercise we know that a package is accepted if it has at most 1 defective diskette. So our event A is defined as:

A = 0 or 1 defective diskette

2. The probability of a diskette being defective is 0.01

3. Each package contains 10 diskettes.

If X is defined as number of defective diskettes in the package, the probability of X is given by a binomial distribution with probability 0.01 and n=10

X ~ Bin(p=0.01, n=10)

Let us remember the calculation of probability for the binomial distribution:

P(X=x)=nCx*p^{x}*(1-p)^{(n-x)} with x = 0, 1, 2, 3,…, n

Where

n: number of independent trials

p: success probability  

x: number of successes in n trials

In our case success means finding a defective diskette, therefore

n=10

p=0.01

And for x we just need 0 or 1 defective diskette to reject the package

Hence,

P(X=x)=10Cx*0.01^{x}*(1-0.01)^{(10-x)} with x = 0, 1

So,

P(A)=P(X=0)+P(X=1)

P(A)=10C0*0.01^{0}*(1-0.01)^{(10-0)} + 10C1*0.01^{1}*(1-0.01)^{(9)}

P(A)=0.99^{10}+10*0.01*0.99^{9}

P(A)=0.9957

Now, because we have 3 packages and we might reject just 1 of them, we can find this probability like this:

3*(1-P(A))*P(A)*P(A) = (1-0.9957)*0.9957*0.9957=0.0127

Finally, we have that the probability of returning exactly one of the three packages is 1.27%

3 0
3 years ago
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