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Amanda [17]
3 years ago
12

Margo added three multi-digit decimal numbers. The first number was 5.19. The second number was 10 times the first number. The t

hird number was 10 times the second number. What was the sum?
Mathematics
1 answer:
Anika [276]3 years ago
7 0

Answer: 576.09

Step-by-step explanation:

First number = 5.19.

The second number was 10 times the first number which will be:

= 5.19 × 10

= 51.9

The third number was 10 times the second number. Thus will be:

= 51.9 × 10

= 519

The sum of the numbers will be:

= 1st number + 2nd number + 3rd number

= 5.19 + 51.9 + 519

= 576.09

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Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variab
Viefleur [7K]

Answer:

log(x^7·y^2)

Step-by-step explanation:

The applicable rules are ...

... log(a^b) = b·log(a)

... log(ab) = log(a) +log(b)

_____

The first term, 7log(x) can be rewritten as log(x^7). Note that an exponentiation operator is needed when this is written as text.

The second term 2log(y) can be rewritten as log(y^2). These two rewrites make use of the first rule above.

Now, you have the sum ...

... log(x^7) +log(y^2)

The second rule tells you this can be rewritten as ...

... log(x^7·y^2) . . . . . seems to match the intent of the 3rd selection

5 0
3 years ago
The diameter of a grain of sand is estimated to be about .0024 inches. Write the estimated diameter of a grain of sand in scient
Orlov [11]

Answer:

2.4 x 10-₃

Step-by-step explanation:

the numbers with NO zeros should be first and the first number should be turned to a whole so like "2.4". Since there are 3 zeros (including the zero in the whole number place) you would write the 3 as the number in the right corner. And there is a minus sign beside the 3 because the Zeros are first. :)

3 0
2 years ago
How do I solve this problem correctly?
Anna71 [15]

Answer:

7%

11%

5%

14%

Step-by-step explanation:

To find a numbers percentage of another number you simply divide the smaller number by the bigger number then move the decimal point to the right 2 places.

Percentage of workers who prefer chicken soup who are part-time: 35÷500 = 0.07 move the decimal 2 to the right to get 7%.

Percentage of full-time workers who prefer mushroom soup: 55÷500 = 0.11 move the decimal 2 to the right to get 11%.

Percentage of workers who prefer lintel soup who are full-time: 25÷500 = 0.05 move the decimal 2 to the right to get 5%.

Percentage of part-time workers who prefer tomato soup: 70÷500 = 0.14 move the decimal 2 to the right to get 14%.

Hope this helps! :)

5 0
2 years ago
The effect of a monetary incentive on performance on a cognitive task was investigated. The researcher predicted that greater mo
riadik2000 [5.3K]

Answer:

1) H_0:\mu_5=\mu_{25}=\mu_{50}

2) H_a:\mu_{50}>\mu_{25}>\mu_{5}

3) A Type I error happens when we reject a null hypothesis that is true. In this case, that would mean that the conclusion is that there is evidence to support the claim that the greater the incentive, the more puzzles are solved, but that in reality there is no significant difference.

4) A Type II error happens when a false null hypothesis is failed to be rejected. In this case, that would mean that there is no enough evidence to support the claim that the greater the incentive, the more puzzles are solved, but in fact this is true.

5) The probability of a Type I error is equal to the significance level, as this is the chance of having a sample result that will make the null hypothesis be rejected.

Step-by-step explanation:

As the claim is that the greater the incentive, the more puzzles were solved, the null hypothesis will state that this claim is not true. That is that there is no significant relation between the incentive and the amount of puzzles that are solved. In other words, the mean amount of puzzles solved for the different incentives is equal (or not significantly different):

H_0:\mu_5=\mu_{25}=\mu_{50}

The research (or alternative hypothesis) is that the greater the incentive, the more puzzles were solved. That means that the mean puzzles solved for an incentive of 50 cents is significantly higher than the mean mean puzzles solved for an incentive of 25 cents and this is significantly higher than the mean puzzles solved for an incentive of 5 cents.

H_a:\mu_{50}>\mu_{25}>\mu_{5}

A Type I error happens when we reject a null hypothesis that is true. In this case, that would mean that the conclusion is that there is evidence to support the claim that the greater the incentive, the more puzzles are solved, but that in reality there is no significant difference.

A Type II error happens when a false null hypothesis is failed to be rejected. In this case, that would mean that there is no enough evidence to support the claim that the greater the incentive, the more puzzles are solved, but in fact this is true.

The probability of a Type I error is equal to the significance level, as this is the chance of having a sample result that will make the null hypothesis be rejected.

4 0
3 years ago
The measurements 45.367 cm and 43.43 cm are made in the same unit of measure. Which measurement is less precise? Explain your an
Kaylis [27]

Answer:

45.367 cm

Step-by-step explanation:

Approximating to a more number of decimal places gives a better estimation of the exact value.

For 45.367 cm, we approximated to three decimal places or five significant figures.

For 43.43 cm, the approximation is done to four decimal places.

Therefore the measurement 45.367cm is more precise because it has a relatively smaller error.

7 0
3 years ago
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