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4 years ago

What is 3 3/5 ÷ 1 4/5 =

Mathematics

2 answers:

Marysya12 [62]4 years ago

8 0

Answer:

Step-by-step explanation:

3 3/5 : 1 4/5= 2/1 = 2

mash [69]4 years ago

6 0

let's firstly convert the mixed fractions to improper fractions and then divide.

$\bf \stackrel{mixed}{3\frac{3}{5}}\implies \cfrac{3\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{18}{5}}~\hfill \stackrel{mixed}{1\frac{4}{5}}\implies \cfrac{1\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{9}{5}} \\\\[-0.35em] ~\dotfill$

$\bf \cfrac{18}{5}\div \cfrac{9}{5}\implies \cfrac{\stackrel{2}{~~\begin{matrix} 18 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 2$

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A car was purchased for $39150.00 and is expected to be worth $10800.00 in 9 years. Determine the rate at which the van deprecia

ser-zykov [4K]

Answer:

<u>The annual rate of depreciation of the car is 8.05% or 72.41/9</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Price of the purchase of the car = $ 39,150

Price after 9 years = $ 10,800

2. Determine the rate at which the van depreciates in value.

Let's calculate what is the percentage of depreciation after 9 years, this way:

Percentage of depreciation after 9 years = [1 - (Price after 9 years/Price of the purchase of the car)] * 100

Replacing with the values we know:

Percentage of depreciation after 9 years = [1 - (10,800/39,150)] * 100

Percentage of depreciation after 9 years = [1 - 0.2759] * 100

Percentage of depreciation after 9 years = 72.41%

<u>Annual rate of depreciation = 72.41/9 = 8.05%</u>

6 0

3 years ago

Allie must sell at least 60 gift baskets for the band fund-raiser. She already sold 48 baskets. Enter and solve

gogolik [260]

Answer:

Step-by-step explanation:

i just know that this is correct

5 0

3 years ago

Question 5 (1 point)

maks197457 [2]

Answer:

228 cookies wil be rejected in a 5,000 count batch of cookies.

Step-by-step explanation:

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.

In this question:

$\mu = 42, \sigma = 1.5$

Proportion of rejected cookies.

Less than 39:

pvalue of Z when X = 39.

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

$Z = \frac{39 - 42}{1.5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228.

More than 45:

1 subtracted by the pvalue of Z when X = 45.

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

$Z = \frac{45 - 42}{1.5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

1 - 0.9772 = 0.0228

Total:

2*0.0228 = 0.0456

How many cookies wil be rejected in a 5,000 count batch of cookies?

The proportion of cookies rejected is 0.0456. Out of 5000:

0.0456*5000 = 228

228 cookies wil be rejected in a 5,000 count batch of cookies.

6 0

4 years ago

What is a number greater than 18. 55 and less than 18. 6

Verdich [7]

It's not hard to find one of those, since there are
an infinite number of them. Here are a few:

18.55000001
18.56
18.57
18.58
18.59
18.591
18.59100001
18.59100002
18.59100003
18.59100004
18.59100005
18.5910006
18.591007
18.59108
18.5919
18.59191
18.59192
18.59193
.
.
etc.

3 0

3 years ago

Read 2 more answers

what is the best point estimate for the population's standard deviation if the sample variance is 49.7? round your answer to one

Vinvika [58]

Using the relation between standard deviation and variance it is concluded that the standard deviation for the population for the given variance is 7.1

<h3>What is the relation between standard deviation and sample variance? </h3>

In statistics, the two most crucial metrics are variance and standard deviation. While the variance is a measurement of how data points vary from the mean, standard deviation is a measure of the distribution of statistical data.

The square root of the variance yields the standard deviation, i.e.

Standard deviation = $\sqrt{variance$