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ololo11 [35]
3 years ago
11

Mario was visiting the carnival when he noticed a few number relationships.

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
4 0
100/1 x3/10=30 adults

B. 5/8 x64/1 =40 dolls

therefore 64-40=24 were not dolls
Ahat [919]3 years ago
3 0

Answer: a) 30 and b) 24.

Step-by-step explanation:

Since we have given that

a) Number of visitors = 100

According to question, we get that If three-tenths of the visitors were adults.

So, number of adults would be

\dfrac{3}{10}\times 100\\\\=3\times 10\\\\=30

b) Number of prizes = 64

According to question, Five-eighths of the prizes at the Giant Spin were dolls.

So, Number of prizes are not dolls is given by

(1-\dfrac{5}{8})\times 64\\\\=\dfrac{3}{8}\times 64\\\\=3\times 8\\\\=24

Hence, a) 30 and b) 24.

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NO SPACES AND NO DECIMALS
KonstantinChe [14]

Answer:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

x = 11 hours

Step-by-step explanation:

Let

Number of hours = x

Total cost = y

Total cost = fixed cost + variable cost

The equations are:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

solve the equation to find for how many hours the total cost of the services is equal.

Equate total cost of both services

20 + 4x = 9 + 5x

Collect like terms

20 - 9 = 5x - 4x

11 = x

x = 11 hours

Check:

Happy paws

y = 20 + 4x

= 20 + 4(11)

= 20 + 44

= 64

Woof watchers

y = 9 + 5x

= 9 + 5(11)

= 9 + 55

= 64

6 0
3 years ago
In ▵DEF, m ∠ D = 53 and m ∠ F = 68. What is m ∠ E?
Marizza181 [45]

Answer: 59

Step-by-step explanation:

a triangle always equals 180 degrees. a+b+c= 180 so you would solve for e, 53+68+e= 180

4 0
3 years ago
For 300 trading​ days, the daily closing price of a stock​ (in $) is well modeled by a Normal model with mean ​$196.99 and stand
KATRIN_1 [288]

Answer:

a) 2.5% b) 84% c) 95% d) D. The more unusual day is if the stock closed below $185 because it has the largest absolute z-score.

Step-by-step explanation:

For a) b) and c) we will use the empirical rule, so, we can observe the image shown below

a) 211.23 is exactly two standard deviation above the mean, so, the probability that on a randomly selected day in this period the stock price closed above 211.23 is 2.35% + 0.15% = 2.5%  

b) 204.11 represents exactly one standard deviation above the mean, so, the probability of being below 204.11 is 50% + 34% = 84%

c) The probability of getting a value between 182.75 and 211.23 is 95%, this because 182.75 is exactly two standard deviations below the mean and 211.23 is exactly two standard deviations above the mean.

d) The z-score related to 208 is z_{1} = (208-196.99)/7.12 = 1.5 and the z-score related to 185 is  z_{2} = (185-196.99)/7.12 = -1.7, therefore, the more unusual day is if the stock closed below $185 because it has the largest absolute z-score.

5 0
3 years ago
Dr. Wellbee advised his patients to drink 8 eight-ounce glasses of water every day for every 50 pounds of weight. If Kelby weigh
Sever21 [200]

A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches.

What is the length of the other leg? Round to the nearest tenth.

14.4 in.21.7 in.28.9 in.<span>43.3 in.</span>
5 0
3 years ago
Read 2 more answers
Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an
melomori [17]

Answer:

1/12

Step-by-step explanation:

The probability of rolling a 4 is 1/6.

The probability of flipping heads is 1/2.

The probability of both is 1/6 × 1/2 = 1/12

3 0
3 years ago
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