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densk [106]
3 years ago
12

You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outc

omes are there for this compound event?
Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..

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Lexie is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide. If the field in Lexie’s drawing is 3
timurjin [86]

Answer:

  • <em><u>The field in Lexie's drawing should be 20 cm long.</u></em>

Explanation:

Making a scale drawing requires that the figure be similar, which implies that the sides of the figures be proportional.

The proportion for a drawing 30 cm wide and unknown length with the soccer field that is 120 yards long and 80 yards wide is:

  • length of the drawing / width of the drawing = length of the field / width of the field

Thus, using x for the unknown width of the drawing:

  • 30 cm / x = 120 yard / 80 yard

Thus, you must solve for x:

  • 30 cm × 80 yard = 120 yard × x

  • x = 30 cm × 80 yard / 120 yard = 20 cm.

Hence, the field in Lexie's drawing should be 20 cm long.

4 0
3 years ago
Enter the range of values for x:<br> B<br> 15<br> 2x - 10<br> С<br> 48°<br> A<br> 18<br> [?] Enter
SOVA2 [1]
<h3>Answer:   5 < x < 29</h3>

=========================================

Explanation:

Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.

So 2x-10 < 48

At the same time, 2x-10 is also larger than 0.

Overall, we can say 0 < 2x-10 < 48

---------

Let's solve for x

0 < 2x-10 < 48

0+10 < 2x < 48+10 ...... add 10 to all sides

10 < 2x < 58

10/2 < x < 58/2 ..... divide all sides by 2

5 < x < 29

8 0
3 years ago
Clare went to a concession stand that sells pretzels for $3.25, drinks for $1.85, and bags of popcorn for $0.99 each. She bought
djyliett [7]

Answer:

No.

Step-by-step explanation:

Price of each pretzel = $3.25

Price of each drink = $1.85

Price of each bag of popcorn = $0.99

Maximum money to be spent = $10

Price of two pretzels = $3.25 \times 2 = $6.5

Price of two drink = $1.85 \times 2 = $3.70

Price of two bags of popcorn = $0.99 \times 2 = $1.98

Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18

The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.

But maximum money available is $10.

Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.

7 0
2 years ago
The datus a blow shows the weigh-in pounds of 5 different pumpkin what is the mean of the following set of data 7 5 9 5 12
gregori [183]

7+5+9+5+12=38

38/5=7.6

7.6=mean

hope this helps

4 0
3 years ago
What objects in your everyday lives are in the shape of a triangular prism?
Svetach [21]

Answer:

wedge of cheese, slice of watermelon, slice of cake, roof of a house, door-stopper

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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