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ANEK [815]
3 years ago
7

Please help solve much appreciated

Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0

Step-by-step explanation:

For the Cuboid, the formula will be:

Width x Height x Length

For the cylinder the volume formula will be:

\pi \:  \times  \:  {radius}^{2}  \times  \: length

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Which input value produces the same output value for the
USPshnik [31]

Answer:

x = 4

Step-by-step explanation:

The 2 graphs have the same output, y = 3 at the point of intersection

This occurs when the input is x = 4

8 0
3 years ago
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A line that includes the point (1, 3) has a slope of -7. What is its equation in slope-intercept
Alex787 [66]

Answer:

y = -7x + 10

Step-by-step explanation:

Using a point slope form equation

y - y1 = m( x - x1)

Given

Point = ( 1 , 3)

Slope = -7

Insert the values into

y - y1 = m(x - x1)

x1 = 1

y1 = 3

y - 3 = m( x - 1)

m = -7

y - 3 = -7(x - 1)

Using a slope intercept form equation

y = mx + c

Open the bracket

y - 3 = -7x + 7

y = -7x + 7 + 3

y = -7x + 10

The equation of the line is

y = -7x + 10

6 0
3 years ago
In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a)
DENIUS [597]

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

  • Mean rate = 0.3
  • x = 50
  • standard deviation = ?

<h3>Poission Rule</h3>

Using poission formula,

P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431

b)

The probability the next call arrives after 2 hours.

\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488

c)

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

\lambda = 0.3 * 50 * 24 = 360

The mean = 360

The standard deviation is given as

S.D = \sigma =\sqrt{360} = 18.974\\

The probability the sum of these 50 number is less than 356 is

p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165

Learn more on poission formula here;

brainly.com/question/7879375

3 0
2 years ago
Solve 5y 2 = 405 9 ±9 ±81
Agata [3.3K]
<span>5y^2 = 405
y^2 = 405/5
y^2 = 81
y = - 9 and y = 9

answer
</span><span>±9</span>
5 0
3 years ago
Mercedes rides her bike 10 miles in the first week. She increases the distance she rides by 2 miles each week. How many miles wi
Rzqust [24]
She will ride a total of 26 miles of 8 weeks.
Hope this helps.
3 0
3 years ago
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