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2 years ago

How many significant digits are in this number? 4,000,000?

1 answer:

5 0

Just one which is the 4 but you have to put the zeros in because if you won 4,103,002 on the lottery you would say oh i won 4 million you wouldn’t say i won 4

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Tara worked on her science fair project for 4 hours every day for 4 days. Which is the best

nirvana33 [79]

B. 16 because 4 times 4 is 16

7 0

3 years ago

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If Ryan uses only 3/8 cup syrup out of the giant bottle each time he eats pancakes, how many times will he be able to eat pancak

elena55 [62]

Answer:

128 times

Step-by-step explanation:

Total cups = volume per meal × no. of meals

C = V × n

Divide each side by V

n = C/V = 48/(⅜)

Invert the fraction and multiply

n = 48 × ⁸/₃

Cancel 3s

n = 16 × 8

Multiply

n = 128

Ryan can eat pancakes 128 times from his giant bottle without running out of syrup.

8 0

2 years ago

Ralph invested in a mutual fund and at the end of 20 years he has $14,300 in his account. If the mutual fund returned an average

Semenov [28]

Answer:

$\$5,500$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=20\ years\\ P=?\\ A=\$14,300\\r=8\%=8/100=0.08$

substitute in the formula above

$14,300=P(1+0.08*20)$

$14,300=P(2.6)$

$P=14,300/(2.6)$

$P=\$5,500$

7 0

2 years ago

According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507 and st

Leviafan [203]

Answer:

The actual SAT-M score marking the 98th percentile is 735.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 507, \sigma = 111$

Find the actual SAT-M score marking the 98th percentile

This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So

$Z = \frac{X - \mu}{\sigma}$

$2.054 = \frac{X - 507}{111}$

$X - 507 = 2.054*111$

$X = 735$

8 0

2 years ago

Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 6.8

Katen [24]

Answer: You have the following information given in the problem above:

- Lou filled the tank with gas that cost $3.80 per gallon.

- Lou's car had 5.9 gallons in the 13-gallon tank.

2. Therefore, if he filled the tank, you can calculate the total amount of money Lou spent, by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.

3. Then, the result is:

$26.98

4 0

3 years ago

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