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3 years ago

Is the point (8'10), a solution of the equation y=16x-3

1 answer:

5 0

Lets find out...
(8,10)...x = 8 and y = 10

y = 16x - 3
10 = 16(8) - 3
10 = 128 - 3
10 = 125....nope...incorrect
therefore, (8,10) is not a solution to this equation

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The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili

Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

$\lambda= 4.5$

Formula:

$P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}$

a) No accidents occur in one week.

$P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111$

b) 5 or more accidents occur in a week.

$P( x \geq 5) = 1-\displaystyle \sum P(x$

c) One accident occurs today.

The mean number of accidents per day is given by

$\lambda = \dfrac{4.5}{7} = 0.64$

$P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747$

5 0

2 years ago

PLS HELP ME IS EZZZZZ

Arte-miy333 [17]

Answer:

825.663706143591cm

Step-by-step explanation:

80cm × 4 = 320cm

100cm × 3 = 300cm

The radius is 40

40 × 2 = 80cm

Circumference is πd

π80 = 251.327412287183

÷ 2 = 125.663706143591cm

In total

320 + 300 + 80 + 125.663... =

825.663706143591cm

6 0

2 years ago

Irene tiene una colección de 50 dvd de películas de 90 minutos de duración cada una .Si el precio de cada uno era de 11€ , ¿cuan

Rainbow [258]

To solve this problem you must apply the proccedure shown below:

1. She has a total of 50 DVDs of 90 minutes each one of them. The cost of each DVD was 11€.

2. Therefore, to calculate the total cost of the collection, you must multiply the cost of each DVD by the total number of them:

$total=(11)(50)=550$ €

3. To calculate the total minutes of the collection, you must multiply 90 minutes by the total number of DVDs:

$(90min)(50)=4500min$

Therefore, the answer is: 550€ and 4500 minutes.

3 0

3 years ago

Members of the high school baseball team need to purchase cleats before the season starts. The pitcher paid $70 for his, but the

prohojiy [21]

Answer:

The pitcher paid $70.

The second baseman paid $63.

$70 -$63 = $7

Step-by-step explanation:

6 0

2 years ago

A waitress sold 12 ribeye steak dinners and 39 grilled salmon totaling $575.53 on a particular day. Another day she sold 25 ribe

Talja [164]

Answer:

cost of ribeye steak dinners = $10.36

cost of grilled salmon= $11.581

Step-by-step explanation:

Let the cost of one steak dinners be x

Let the cost of one grilled salmon be y

One a particular day the waitress sells 12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as

12(x)+39(y)= $575.53-------------------------------------(1)

On another day she sells 25 ribeye steak dinners and 13 grilled salmon dinners totals to $582.43.This can be represented as

25(x)+ 13(y)= $582.43-------------------------------------(2)

solving the equation (1) and (2)

eq(1) x 1 $12x+39y= 575.53$

eq(2) x 3 $125x+ 39y= 1747.29$ -------------------------(3)

Subtracting these equation we get,

$113x=1171.76$

$x=\frac{1171.76}{113}$

x= 10.36

Now substituting this in equation (1)

$12(10.36)+39(y)= $575.53$

$123.84+39y=575.53$

$39y=575.53 - 123.84$

$y=\frac{451.69}{39}$

y=11.581

7 0

3 years ago