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ANTONII [103]
3 years ago
9

When I visit a local cafe, there's an $80\%$ probability that I'll order a sandwich, and a $70\%$ probability that I'll order a

soup. If there's a $5\%$ probability that I don't order the sandwich or soup, then what's the probability that I order both the sandwich and soup
Mathematics
1 answer:
jeyben [28]3 years ago
6 0

Answer:

There is 55% probability that I order both the sandwich and soup

Step-by-step explanation:

P(sandwich) = 0.8

P(Soup) = 0.7

P(neither sandwich nor soup) = 0.05

P(sandwich or soup) = 1 - P(neither sandwich nor soup)

P(sandwich or soup) = 1 - 0.05 = 0.95

P(Sandwich & Soup) = x

P(Sandwich only) = 0.8 - x

P(Soup only) = 0.7 - x

P(sandwich or soup) = P(Sandwich only) + P(Soup only) + P(Sandwich & Soup)

Note that P(neither sandwich nor soup) has already been used to get the P(sandwich or soup) and should not be included in the above formula. Don't make that mistake!

0.95 = 0.8 - x + 0.7 - x + x

0.95 = 1.50 - x

x = 1.50 - 0.95

x = 0.55

There is 55% probability that I order both the sandwich and soup

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Need help on question 5 please help
blagie [28]

Answer:

  $66

Step-by-step explanation:

It can be convenient to assign a different variable to the amount of money each spent. We can call the amounts spent by Seedevi, Georgia, and Amy "s", "g", and "a", respectively.

The problem statement tells us ...

  s = (1/2)g

  s = a +6

  s + g + a = 258

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The problem statement asks for the amount Seedevi spent, so we need to find the value of s. It is convenient to write the other variables in terms of s:

  g = 2s

  a = s -6

Then the sum is ...

  s + (2s) +(s -6) = 258

  4s = 264 . . . . . . . . . . . add 6, simplify

  s = 66 . . . . . . . . . . . . . .divide by 4

Seedevi spent $66.

4 0
3 years ago
Please help don’t understand
const2013 [10]
The first one is congruent by ASA. The second does not have to be congruent, we don’t know enough.
5 0
3 years ago
Using words, explain all steps of dimensional analysis when converting 6.7 hectometers to meters.
9966 [12]
<h2>6.7 hectometers is equal to "670 meters".</h2>

Step-by-step explanation:

We have,

6.7 hectometers

To convert 6.7 hectometers to meters.

We know that,

1 hectometer = 100 meters

⇒ 1 hm = 100 m

∴ 6.7 hectometers

= 6.7 × 100 meters

= 670 meters

∴ 6.7 hectometers (hm) = 670 meters (m)

Thus, 6.7 hectometers is equal to "670 meters".

3 0
3 years ago
How do you work out perimeter?
Harman [31]
You need to add up all the sides to find the perimeter.
5 0
3 years ago
The numbers on two consecutively numbered gym lockers have a sum of 141. What are the locker​ numbers?
lesantik [10]

Answer:

70 and 71

Step-by-step explanation:

Consecutive means in a row

x is the first number

x+1 is the next number

x+ x+1 = 141

Combine like terms

2x+1 =141

Subtract 1 from each side

2x+1-1=141-1

2x= 140

Divide each side by 2

2x/2 =140/2

x = 70

The two lockers are 70,71

5 0
3 years ago
Read 2 more answers
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