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4 years ago

What is the slope intercept form of the function that contains the point (8,12) and the has a slope of -2

1 answer:

7 0

Slope intercept is y = mx + b
since they do not give the b(y intercept) you have to use the slope and ordered pair to find the b.
12 = (-2)(8) + b
12 = -16 + b
28 = b
y = -2x + 28

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zepelin [54]

Answer:4

Step-by-step explanation: Because 4 goes in 3/4 better and more eqvilent to that answer.

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2 years ago

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A type of long-range radio transmits data across the Atlantic Ocean. The number of errors in the transmission during any given a

Marianna [84]

Answer:

32.33% probability of having at least 3 erros in an hour.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

The mean number of errors is 2 per hour.

This means that $\mu = 2$

(a) What is the probability of having at least 3 errors in an hour?

Either you have 2 or less errors in an hour, or we have at least 3 errors. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 2) + P(X \geq 3) = 1$

We want $P(X \geq 3)$

$P(X \geq 3) = 1 - P(X \leq 2)$

In which

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-2}*(2)^{0}}{(0)!} = 0.1353$

$P(X = 1) = \frac{e^{-2}*(2)^{1}}{(1)!} = 0.2707$

$P(X = 2) = \frac{e^{-2}*(2)^{2}}{(2)!} = 0.2707$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1353 + 0.2707 + 0.2707 = 0.6767$

$P(X \geq 3) = 1 - P(X \leq 2) = 1 - 0.6767 = 0.3233$

32.33% probability of having at least 3 erros in an hour.

6 0

3 years ago

If the sum of the measures of the interior angles of a convex polygon is 2160°, how many sides does the polygon have?

olya-2409 [2.1K]

Remember your formula is 180(n-2) where n=number of sides. So start out by dividing by 180, then add 2 to get the sides.

3 0

3 years ago

Help me again. i need help. thx 4 helping

VARVARA [1.3K]

Answer:

16 square units

Step-by-step explanation:

The formula for the area of a right triangle is ab/2 (a and b both being legs).

First, we find the legs' length which is MK and JK.

Since both points J and K are on the same y level, we look at the X coordinates and see how far apart they are.

Since both points M and K are on the same x level, we look at the Y coordinate.

M is 4 points away from K, so the leg MK is 4 units long.

J is 8 points away from K, so the leg JK is 8 units long.

Plug this into the formula and we get

$\frac{4*8}{2}$

$\frac{32}{2} = 16$

8 0

3 years ago

Lipids provide much of the dietary energy in the bodies of infants and young children. There is a growing interest in the qualit

garri49 [273]

Answer:

This assumption is that the distribution of polyunsaturated fat % of each if these four regimes must be with equal variances as well as uniform.

The null hypothesis

H0: μ1 = μ2 = μ3 = μ4

The alternate hypothesis:

H1: at least 2 means are unequal

First we calculate the grand mean

= 1/54[15(42.9)+17(43.1)+8(43.7)+14(43.9)]

= (643.5 +732.7 + 349.6 + 614.6)/54

= 2340.4/54

= 43.341

Sum of squared treatment

= [15(42.9-43.341)²+17(43.1-43.341)²+8(43.7-43.341)²+14(43.9-43.341)²]

= 9.3104

Mean square of treatment

= SST/I-1

= 9.3104/4-1

= 9.3104/3

= 3.1035

Error sum of squared

= (15-1)*(1.3)² + (17-1)*(1.5)² + (8-1)*(1.2)² + (14-1)*(1.2)²

= 88.46

Error mean square

MSE = 88.46/54-4

= 1.7692

Test statistic

= 3.1035/1.7692

= 1.75

4 0

3 years ago