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tino4ka555 [31]
3 years ago
6

Balloon arrangements are being made for a party. There are 35 white balloons and 45 purple balloons. Each arrangement must be id

entical. What is the greatest number of arrangements that can be made using every balloon?
Mathematics
1 answer:
natulia [17]3 years ago
3 0

Answer:

5

Step-by-step explanation:

Find the greatest common factor of 35 and 45.

35 = 5×7

45 = 3²×5

There can be 5 identical arrangements made (arrangements of 7 white balloons and 9 red balloons).

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Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. ​(a) Descri
OlgaM077 [116]

Part a)

The simple random sample of size n=36 is obtained from a population with

\mu = 74

and

\sigma = 6

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

\mu = 74

The standard error of the means becomes the standard deviation of the sampling distribution.

\sigma_ { \bar X }  =  \frac{ \sigma}{ \sqrt{n} }  \\ \sigma_ { \bar X }  =  \frac{ 6}{ \sqrt{36} }  = 1

Part b) We want to find

P(\bar X \:>\:75.9)

We need to convert to z-score.

P(\bar X \:>\:75.9)  = P(z \:>\: \frac{75.9 - 74}{1} )  \\  = P(z \:>\: \frac{75.9 - 74}{1} ) \\  = P(z \:>\: 1.9) \\  = 0.0287

Part c)

We want to find

P(\bar X \: < \:71.95)

We convert to z-score and use the normal distribution table to find the corresponding area.

P(\bar X \: < \:71.95)  = P(z \: < \: \frac{71.9 5- 74}{1} )  \\  = P(z \: < \: \frac{71.9 5- 74}{1} ) \\  = P(z \: < \:  - 2.05) \\  = 0.0202

Part d)

We want to find :

P(73\:

We convert to z-scores and again use the standard normal distribution table.

P( \frac{73 - 74}{1} \:< \: z

5 0
3 years ago
1. Brian has three time
Naya [18.7K]
1. Translate words into equation :
Brian= b
Natasha =n
N+3n=88 (because brian has 3x more than natasha u can rewrite b as 3n)
2. Solve : 4n=88 (divide by 4)
N=22 so natasha has 22 marbles and since b=3n, brian has 66 marbles
5 0
1 year ago
A collector's model racecar is scaled so that 1 inch on the model equals 6 feet on the actual car. If the model is 0.75 inches h
ohaa [14]
4.5, since 6 times .75 (the model height) is 4.5

3 0
4 years ago
Peanuts are priced at 3.38 per pound. Derek buys a sack of peanuts for 15.82. Which measurement is a reasonable estimate of the
Rashid [163]

Given :

Price per pound of peanuts is, P = $3.38 .

Derek buys a sack of peanuts for $15.82.

To Find :

The weight of the peanuts that are in the sack.

Solution :

Let, weight of peanuts that are in the sack are x.

So, x = \dfrac{15.82}{3.38}\\\\x = 4.68\ pounds

Therefore, number of pounds in the sack is 4.68 pounds.

5 0
3 years ago
16. Emily bought 48 yards of fabric to make curtains. How many inches of<br> fabric did Emily buy?
USPshnik [31]

Answer:

1728 inches

Explanation:

There are 3 feet in 1 yard and 12 inches in 1 foot, so we have:

48 yards * 3 = 144 feet

144 ft * 12 = 1728 inches

Emily bought 1728 inches.

7 0
3 years ago
Read 2 more answers
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