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3 years ago

At a coffee shop, the first 100 customers'

Mathematics

1 answer:

Allisa [31]3 years ago

6 0

Well formatted distribution table is attached below :

Answer:

Step-by-step explanation:

The probability that a customer ordered a small Given that he or she ordered a hot drink ;

This is a conditional probability and will be represented as :

Let :

P(small drink) = P(S)

P(hot drink) = P(H)

Hence, the conditional probability is written as :

P(S|H) = P(SnH) / P(H) = 5 / (5+48+22) = 5/75 = 0.0666 = 0.0666 * 100% = 6.67%

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The graph below describes the journey of a train between two cities.

Veseljchak [2.6K]

Answer:

[A] Acceleration in first 15 min = 200 km/h²

[B] Distance between two cities = 125 km

[C] Average Speed of journey = 62.5 km/hr

Step-by-step explanation:

To Solve:

Acceleration in first 15 min

Distance between two cities

Average speed of journey

Solve:

[A] Work out the acceleration, in km/h?, in the first 15 mins.

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time Velocity km/hr

0 Min ( 0 hr) 0

15 Min (1/4 hr) 50

45 Min (3/4 hr) 50

60 MIn ( 1 hr) 100

90 Min ( 3/2 hr) 100

120 Min ( 2hr) 0

Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)

= 200 km/h²

Hence, Answer for [A] = 200 km/h²

[B] Work out the distance between the two cities. $60 Velocity (in km/h)

= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

= 25/4 + 25 + 75/4 + 50 + 25

= 125

Distance between two cities = 125 km

[C] Work out the average speed of the train during 20 the journey.

Average Speed of journey = 125/2 = 62.5 km/hr

[RevyBreeze]

5 0

3 years ago

What is the slope intercept form of the equation y+5= 4(x+8)

hram777 [196]

Answer:

$y=4x+27$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$y+5=4(x+8)$ ----> equation of the line into point slope form

Convert to slope intercept form

Isolate the variable y

Distributed left side

$y+5=4x+32$

subtract 5 both sides

$y=4x+32-5\\ y=4x+27$

7 0

3 years ago

I need help I forgot all about this and I would appreciate it!

miskamm [114]

Answer:

$3.75

Step-by-step explanation:

You only have to multiply 3 pounds by the $1.25 to get the cost.

5 0

2 years ago

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Help please.Round to the nearest hundredths

ryzh [129]

Answer:

I don't know its answer

4 0

3 years ago

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Simplify: 9 (5x-4) + 4x

m_a_m_a [10]

Answer:

49x+36

Step-by-step explanation:

Hey There!

for this question they would like you to simplify the expression using distributive property

To do this the first step is to distribute the 9 in to everything that is in the parenthesis

9x5x=45x

9x4=36

so now we have

45x+36+4x

the next step is to combine like terms

the only like terms in the expression are 45x and 4x so we just add the two together

45x+4x=49x

so now we have 49x+36

In conclusions the simplified version of that expression is 49x+36

8 0

3 years ago

Read 2 more answers