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3 years ago

Describe the relationship between the value of a dollar and the value of a dime

Mathematics

2 answers:

Ivanshal [37]3 years ago

7 0

A dollar is worth 100 cents, a dime is worth 10 cents. 10 dimes = 1 dollar

solong [7]3 years ago

4 0

The value of a dollar is 10x the value of a dime, worth 100 pennies.
The value of a dime is 10x less the value of a dollar, worth 10 pennies.

You might be interested in

Find the sum 38+39+40+41...+114+115

Tasya [4]

It seems like you want to find the sum of 38 to 115:

$\displaystyle \large{38 + 39 + 40 + 41 + ... + 114 + 115}$

If we notice, this is arithmetic series or the sum of arithmetic sequences.

To find the sum of the sequences, there are three types of formulas but I will demonstrate only one and the best for this problem.

$\displaystyle \large{S_n = \frac{n(a_1+a_n) }{2} }$

This formula only applies to the sequences that have the common difference = 1.

Given that a1 = first term of sequence/series, n = number of terms and a_n = last term

We know the first term which is 38 and the last term is 115. The problem here is the number of sequences.

To find the n, you can use the following formula.

$\displaystyle \large{n = (a_n - a_1) + 1}$

Substitute an = 115 and a1 = 38 in the formula of finding n.

$\displaystyle \large{n = (115 - 38) + 1} \\ \displaystyle \large{n = (77) + 1} \\ \displaystyle \large{n = 78}$

Therefore the number of sequences is 78.

Then we substitute an = 115, a1 = 38 and n = 78 in the sum formula.

$\displaystyle \large{S_{78} = \frac{78(38+115) }{2} } \\ \displaystyle \large{S_{78} = \frac{39(38+115) }{1} } \\ \displaystyle \large{S_{78} = 39(153) } \\ \displaystyle \large \boxed{S_{78} = 5967}$

Hence, the sum is 5967.

4 0

3 years ago

Reduce To Simplest Form.<br><br>-1/4 - (-3/5) =

mihalych1998 [28]

Answer:

Step-by-step explanation:

-1/4 - (-3/5) =

-1/4 + 3/5 =

-5/20 + 12/20 =

7/20 <==

6 0

3 years ago

A graduate student majoring in linguistics is interested in studying the number of students in her college who are bilingual. Of

Eddi Din [679]

Answer:

48.41% probability that 17 or fewer of them are bilingual.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .