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2 years ago

write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (4, -5).

1 answer:

3 0

You can answer this question by plugging the given values into point-slope form, which is y - y_{1} = m (x - x_{1}). M will represent slope and x_{1} and y_{1} will represent the x and y coordinates.

y - y_{1} = m (x - x_{1}) Substitute in the values
y - (-5) = 4 (m - 4) Cancel out the -(-5)
y + 5 = 4 (m - 4) Use the Distributive Property
y + 5 = 4m - 16 Subtract 5 from both sides

y = 4m - 21

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In the diagram, ∠ADE ≅ ∠ABC.<br><br> The ratios___ and ___ are equal.

DiKsa [7]

Answer:

$\frac{AD}{AB}$ = $\frac{AE}{AC}$ = $\frac{DE}{BC}$

Step-by-step explanation:

triangle ADE and triangle ABC are similar

therefore, the ratio of their corresponding sides are equal

4 0

2 years ago

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per

ICE Princess25 [194]

Answer:

1.76% probability that in one hour more than 5 clients arrive

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 arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.

This means that $\mu = 2$

What is the probability that in one hour more than 5 clients arrive

Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

We want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

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

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

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

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

$P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804$

$P(X = 4) = \frac{e^{-2}*2^{4}}{(4)!} = 0.0902$

$P(X = 5) = \frac{e^{-2}*2^{5}}{(5)!} = 0.0361$

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1353 + 0.2702 + 0.2702 + 0.1804 + 0.0902 + 0.0361 = 0.9824$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9824 = 0.0176$

1.76% probability that in one hour more than 5 clients arrive

8 0

2 years ago

Read 2 more answers

5(9-x)/3 +1 less than 11<br>find x

Lunna [17]

Answer:

x > $\frac{1}{5}$

Step-by-step explanation:

$\frac{5(9-x)}{3+1}$

Add 3 and 1 to get 4.

$\frac{5(9-x)}{4}$

Use the distributive property to multiply 5 by 9−x.

$\frac{45-5x}{4}$

Subtract 45/5 from both sides.

$-\frac{5}{4}x$

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

$-\frac{5}{4} x$

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

$x>-\frac{1}{4} (-\frac{4}{5} )$

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

$x>\frac{-(-4)}{4 x 5}$

$x>\frac{1}{5}$

5 0

2 years ago

What is 75%,1/6,3/8,and 0.625 from least to greatest

Naya [18.7K]

Convert each term in decimal form. This is avoid confusion and for uniformity and ease in comparing the value of each term.

75%   is   0.750
1/6   is   0.167
3/8   is   0.375
0.625 is   0.625

From least to greatest, the order is:

0.167 , 0.375 , 0.625 , 0.750

5 0

2 years ago

Help me with this please!!!!!!!!!

IrinaVladis [17]

Answer:

d = 17.58

Step-by-step explanation:

d = √(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2

P1(0, 0, 0) P2(8, 7, 14)

Substitute the values in the above equation and you will get

d = √(8 - 0)^2 + (7 - 0)^2 + (14 - 0)^2

= √(64 + 49 + 196)

= √309

= 17.58

8 0

2 years ago

Read 2 more answers