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3 years ago

The perimeter of a rectangular painting is 340cm. If the width of the painting is 74cm, what is its length?

Mathematics

2 answers:

LenaWriter [7]3 years ago

5 0

Answer:

Step-by-step explanation:

4vir4ik [10]3 years ago

5 0

Answer:

96 cm

Step-by-step explanation:

Length + Width + Length + Width = Perimeter

Length + 74 cm + Length + 74 cm = 340 cm

74 + 74 = 148

340 - 148 = 192

192 ÷ 2

Check:

74cm + 96cm + 74cm + 96cm = 340 cm

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Your friend approaches with three, fair 5-sided dice (labeled 1 to 5). You get to roll them and your friend gives you money base

k0ka [10]

Answer:

$1.68 per match

Average Fee = $1.69

Step-by-step explanation:

Given:

- Earnings for all 3 different number = $ 1

- Earnings for 2 same number = $ 2

- Earnings for 3 same number = $ 6

- Five sided fair dice = 3

Find:

- Expected pay-out

- What fee charged per match for 10 cent income

- Reason for change to new match

Solution:

- Construct a probability distribution table, where X: payout per match

X $1 $2 $6

P(X) 0.48 0.48 0.04

Case X = $1 : _ _ _ All three different numbers

No.outcomes 5 * 4 * 3 = 60

Total outcome 5 * 5 * 5 = 125

Hence, P(X= $ 1) = 60 / 125 = 0.48

Case X = $2 : S _ S two numbers are same

No.outcomes = 5 * 4 * 1 = 20 per combination

Total combinations = S _ S + S S _ + _ S S = 3

Total outcome = 3 * 20 = 60

Hence, P(X= $ 2) = 60 / 125 = 0.48

Case X = $6 : S S S two numbers are same

No.outcomes = 5 * 1 * 1 = 5 per combination

Total combinations = 1

Total outcome = 5 * 1 = 5

Hence, P(X= $ 2) = 5 / 125 = 0.04

- Expected Payout E(X):

E(X) = 1*0.48 + 2*0.48 + 6*0.04 = $1.68 per match

- To earn $0.01 on average the fee of match is:

Fee_avg = E(X) + $0.01 = $1.69

- With this new plan your friend would loose less. The expected payout of a match is $1.68 for which the probability X < $ 2 is around = 0.48. However, to gain a $2 or higher P ( X > 2 ) = 0.48 + 0.04 = 0.52. Hence, the week-payout for X > 2 is greater than 7*2 = $14. So probability of week's payout to be $14 is higher than to be $ 11.76 as per average pay per day.

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3 years ago

HELP ME OUT PLSSS ALSO DUE TODAY!

disa [49]

Answer:

x > -15, you are welcome we all need help

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2 years ago

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The length of the hypotenuse of a right triangle is 157 units. The length of one leg of the triangle is 132. Lara wrote the foll

ASHA 777 [7]

the correct answer for this is the last choice:

It is incorrect because the length of the unknown side is the square root of 7,225.

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3 years ago

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BRAINLIEST if correct 4

Viefleur [7K]

Answer:

Yes it is biased

Step-by-step explanation:

It shows favoritism

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6. Fill in the smallest digit to make the number divisible by:

Degger [83]

Answer:

(i) 71640, 321970

(ii) 1143, 47205, 2316

(iii) 1428, 9252, 7212

(iv) 24620, 9100, 6700

(v) 12320, 59016, 46424

Step-by-step explanation:

(i) In order for any number to be divisible by 5, its last digit must be either 0 or 5.

In this case, we should add a last digit, so we opt for 0 without any doubt since it gives a smaller number than 5 as the last digit: 71640 is smaller than 71645, the same way as 321970 is smaller than our second option, 321975.

(ii) If the sum of a number's digits gives a number divisible by 3, then the main number is also divisible by 3.

This means that we have to do some addition:

1_43: 1 + 4 + 3 = 8. Eight is not divisible by 3. But 9 is. So the smallest digit we can add for it to be divisible by three is 1: 1143.

47_05: 4 + 7 + 0 + 5 = 16. Since 16 is not, the next number that is divisible by 3 is 18, and therefore, the smallest digit we need here is 2: 47205.

_316: 3 + 1 + 6 = 10. Twelve is the next number divisible by 3, and that means 2 is the digit we choose: 2316.

(iii) Only numbers that are divisible by both 2 and 3 are also divisible by 6.

_428: In order for a number to be divisible by 2, its last digit must be 0 or divisible by 2. That is already the case here.

4 + 2 + 8 = 14 which is not divisible by 3. But 15 is. So the smallest digit we need is 1: 1428.

9_52: The number will be divisible by 2. And 9 + 5 + 2 = 16 which is not divisible by 3 but 18 is. This means the smallest digit we need is 2: 9252.

721_: Since the last digit can be any of these 0, 2, 4, 6, 8 for the number to be divisible by two, we will first see what digit we need for it to be divisible by 3.

7 + 2 + 1 = 10 which is not divisible by 3 but 12 is. We will then choose to add 2: 7212.

(iv) A number is divisible by 4 only if the number that is formed by its two last digits is also divisible by 4..

2462_: Since we need to add a last digit, this should be easy. The smallest two-digit-number that starts with 2 and is divisible by four is 20: 24620.

91__: Here we need to add both of the two last digits, and this should be the easiest example! All numbers that end in 00, meaning they have a round number of hundreds, are divisible by 4! Therefore our option is: 9100.

670_: In this case, we apply the same rule from the last example - and we choose 0: 6700.

(v) In order for a number to be divisible by 8, its last three digits need to be divisible by 8, or it can end in 000, since every number having a round number of thousands is also divisible by 8.

1232_: 320 is divisible by 8 since 8 × 40 gives 320. Therefore, our smallest digit here is 0: 12320.

59_16: If we add a 0 here, the last three digits form the number 016, which is divisible by 8. Our choice is again zero: 59016.

4642_: Unfortunately, 420 is not divisible by 8. The next number closest to 420 and which is divisible by 8 is 424. Its division by 8 gives 53. Therefore we should add 4: 46424.

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3 years ago