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Tanya [424]
3 years ago
13

Alberto has 62 pennies, 41 nickels,and 29 dimes. What stratelgy can Alberto use to find the total number of coins? Describe it a

nd show your work. Suppose Alberto collects 343 coins how many coins will he have in his collection now?
Mathematics
1 answer:
nordsb [41]3 years ago
6 0
Alberto can add all of the numbers of coins up to find the total number of coins. Now, you can add the recent total to 343 to get the FINAL amount of coins.
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How should the number 1.230 x 103 be properly expressed as a decimal?
hoa [83]
Answer: 1,230
Usage of 10^x form is called scientific form and it helps much in science where the calculation unit can vary from very big into very small.
In this case, you are given the number 1.230 x 10^3  and asked to express it in decimal form. Then you just simply need to multiply the number with the 10^3. The calculation  would be: 1.230 x 10^3= 1.230 x 1000= 1230
4 0
3 years ago
You pick a card at random. Without putting the first card back, you pick a second card at random. 1 2 3 4 5 6 7 8 What is the pr
vovangra [49]

Answer:

%12.8 for the card withe the number 1

%37.8 for the odd number

Step-by-step explanation:

you only have a number one card so thats 1/8 and when converted to percentage is  %12.8

theres 3 odd numbers not counting the 1 so thats 3/8  coverted to percent is %37.8

to find percentage to multiply the Numerator by Denominator and multiply by 100

Feel free to ask for more help :)

4 0
3 years ago
In Lake Erie, walleye fish are abundant. The lengths of walleyes follow a Normal distribution with a mean of 31 inches and a sta
AlladinOne [14]

Answer:

d. Approximately 84% of walleyes have lengths less than 34.6 inches.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 31

Standard deviation = 3.6

a. Approximately 32% of walleyes have lengths less than 27.4 inches.

27.4 is one standard deviation below the mean.

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. Of the other 32% more than 1 standard deviation from the mean, 16% of the lengths are less than 27.4 and 16% are greather than 31+3.6 = 34.6.

So approximately 16% of walleyes have lengths less than 27.4 inches, which means that this statement is false.

b. Approximately 95% of walleyes have lengths greater than 23.8 inches.

23.8 is two standard deviations below the mean.

By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean. Of the 5% that is more than 2 standard deviations from the mean, 2.5% is greater than 2 standard deviations above the mean(greater than 38.2, in this problem), and 2.5% is lower than 2 standard deviations below the mean(lower than 23.8 in this problem).

So 2.5% of walleyes have lengths lower than 23.8 and 100-2.5 = 97.5% have lengths greater than 23.8, which means that this statement is false.

c. Approximately 16% of walleyes have lengths longer than 38.2 inches.

38.2 is two standard deviations above the mean.

By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean. Of the 5% that is more than 2 standard deviations from the mean, 2.5% is greater than 2 standard deviations above the mean(greater than 38.2, in this problem), and 2.5% is lower than 2 standard deviations below the mean(lower than 23.8 in this problem).

So 2.5% of walleyes have lengths longer than 38.2 inches, which means that this statement is false.

d. Approximately 84% of walleyes have lengths less than 34.6 inches.

34.6 is one standard deviation above the mean.

The empirical rule is symmetric, which means that 50% of the measures are above the mean and 50% of the meausures are below the mean.

Also, 68% of the measures are within 1 standard deviation of the mean. Of those, 34% are between one standard deviation below the mean and the mean, and 34% are between the mean and one standard deviation above the mean.

So, 50% below the mean, plus 34% between the mean and 34.6 means that approximately 84% of the walleyes have lengths less than 34.6 inches, which means that this statement is true.

e. Approximately 2.5% of walleyes have lengths between 31 inches and 34.6 inches.

31 is the mean

34.6 is one standard deviation above the mean.

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. Of those, 34% are between one standard deviation below the mean and the mean, and 34% are between the mean and one standard deviation above the mean.

So 34% of walleyes have lengths between 31 inches and 34.6 inches, which means that this statement is false.

5 0
3 years ago
What is the volume of a cone (in cubic inches) with a radius of 6 inches and a height of 3 inches? Use 3.14 for π. Round your an
sesenic [268]
\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=6\\
h=3
\end{cases}\implies V=\cfrac{\pi \cdot 6^2\cdot 3}{3}
8 0
3 years ago
Help help help, i don't get this
Tatiana [17]

Answer:

no tengo la menor idea

5 0
3 years ago
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