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3 years ago

How to write 103,727,495 in expanded form

Mathematics

1 answer:

aleksley [76]3 years ago

5 0

100,000,000+3,000,000+700,000+20,000+7,000+400+90+5 hope this helps

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1 saw and 4 hammers cost $72. Two saws and 6 hammers cost $114. How much does each item cost?

4vir4ik [10]

Answer:

The saws will cost $12 and the hammers will cost $15

Step-by-step explanation:

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3 years ago

Nicole bought a meal in a town with a 9% sales tax. She tips 20% on the bill, and then adds the sales tax. What is the total cos

zloy xaker [14]

Answer:

The total cost of the meal is $19.35.

Step-by-step explanation:

As Nicole ordered a $ 15 menu, and on that price she paid a tip of 20% and the town in which she bought it had a sales tax of 9%, the total cost of the meal is determined by performing the following calculation:

1- Menu $ 15

2- Tip $ 3 (15 x 0.2)

3- Sales tax $ 1.35 (15 x 0.09)

Thus, adding the three expenses, the total cost of the food for Nicole is $ 19.35 (15 + 3 + 1.35).

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2 years ago

ABIGAIL ORDERS A LARGE 2 TOPPING PIZZA FOR $14 AND A MEDIUM 1 TOPPING PIZZA FOR $10. IF ALL COST OF A MEDIUM PIZZA ARE 80% OF A

geniusboy [140]

She shouldn't. She can get a 2 topping pizza for $7.99 at Pizza Hut instead.

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3 years ago

A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to avera

guajiro [1.7K]

The question is incomplete. The complete question follows.

A company makes windows for use in homes and commercial builidings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n=44 windows yield a sample mean of 0.337 inch. Complete parts a and b.

a. What is the probability of x ≥ 0.337 if the windows meet the standards?

b. Based on your answer to part a, what would you conclude about the population of windows? Is it meeting the standards? (A result is unusual if it has a probability less than 0.05)

Answer and Step-by-step explanation: To answer this question, use Central Limit Theorem: it states regardless of the original population distribution, if the sample size is large enough, the sample mean distribution will approach a normal distribution.

The calculations for the CLT is given by normalizing the distribution, i.e.:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }$

where

z is z-score

x is the sample mean

μ is population mean

σ is standard deviation of the population

n is the number of individuals in the sample

Calculating z-score for the window maker company:

$z=\frac{0.337-0.325}{0.065/\sqrt{44} }$

$z=\frac{0.012}{0.0098}$

z = 1.22

Using the z-score table, we found the probability:

P = 0.8888

As it is a "more than situation":

P(x≥0.337) = 1 - 0.8888

P(x≥0.337) = 0.1112 or 11.12%

a. Probability of x≥0.337 if the windows meet the standards is 11.12%.

b. Comparing results, probability of x≥0.337 is bigger than 0.05:

0.1112 > 0.05

So, we can conclude that the random sample of n=44 is meeting the standards estipulated.

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2 years ago

Bob and mark talk about their families. Bob says he has 3 kids, the product of their age is 72. He gives another clue: the sum o

Bingel [31]

Possible Ages Sum of The Ages 1 2 36 391 4 18 231 8 9 181 3 24 282 3 12 172 4 9 152 6 6 142 2 18 223 3 8 143 4 6 13

The sum has to be 14. So it can be 2, 6, and 6 or 3, 3, and 8.
But it cannot be 3, 3, and 8 because the youngest cannot be a twin.

So it is 2, 6, and 6.

Hope this helps :)

3 0

3 years ago