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Vlada [557]
3 years ago
6

Two barrels are mathematically similar

Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer:

h ≈ 77 cm

Step-by-step explanation:

Let us convert the liters to cm³.

Smaller barrel

0.001 litres = 1 cm³

100 litres = 100000  cm³

Larger barrel

0.001 litres = 1 cm³

160 litres = 160000  cm³

For a similar solid figure the cube of their corresponding sides is equal to the volume ratio.

This means

h³/90³ = 100000/160000

cube root both sides

h/90 =  ∛100000 / ∛160000

h/90 = 46.4158883/54.2883523

cross multiply

54.2883523h = 46.4158883 × 90

54.2883523h = 4177.429947

divide both side by  54.2883523

h = 4177.429947/54.2883523

h = 76.9489175858

h ≈ 77 cm

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66 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a s
Novay_Z [31]

Answer:

0.8397

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the cards are chosen is not important. Also, they are drawn without replacement. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

What is the probability that at least one of the cards drawn is a spade?

Either none is a spade, or at least one is a spade. The sum of the probabilities of these outcomes is 1.

The standard deck has 52 cards, of which 13 are spades. So

Probability that none are spades:

Desired outcomes:

6 cards from a set of 52 - 13 = 39. So

D = C_{39,6} = \frac{39!}{6!33!} = 3262623

Total outcomes:

6 cards from a set of 52. So

T = C_{52,6} = \frac{52!}{6!46!} = 20358520

Probability:

p = \frac{D}{T} = \frac{3262623}{20358520} = 0.1603

Probability that at least one is a spade:

1 - 0.1603 = 0.8397

The answer is 0.8397

8 0
4 years ago
Need help asap pleaseeee!!!
svp [43]

Answer:

DE=19

Step-by-step explanation:

Mean Base Theorem

 DE= x=\dfrac{38}{2} =19

5 0
2 years ago
Find the value of x , then find the measure of angle A ( show your work ).
MakcuM [25]

Step-by-step explanation:

2x+2+6x+4=120°(exterior angle of a triangle is equal to the sum of its opposite interior angle)

8x+6=120

8x=120-6

8x=114

x=114/8

x=14.25

now,

angleA=2x+2

  • 2×14.25+2
  • 28.5+2
  • 30.5°

hope it helps.

6 0
3 years ago
You are conducting a study of students doing work-study jobs on your campus. Among the questions on the survey instrument are th
Ann [662]

Answer:

Stratified sampling technique.

Step-by-step explanation:

The type of sampling technique being used is stratified sampling technique. This is a type of sampling where the population under study has a number of distinct categories or sub-groups in which it is divided into. These categories or sub-groups are called strata and are defined by certain characteristics related to the variable or particular finding under interest. The sampling frame can be organized into separate mutually exclusive strata and then each ‘stratum’ is sampled as an independent sub-population out of which individual elements can be randomly selected. In this case, each unit in a stratum, that is, each element in a group has a chance of being selected. With stratified sampling, the best result occurs when elements within strata are internally homogeneous.

8 0
3 years ago
Mark all the integers below.
seropon [69]
Answer is 9.12 thanks for using brainly
4 0
3 years ago
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