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NARA [144]
3 years ago
5

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 2323 Pennies 55 Dimes 2020 Nic

kels 1919 Quarters Copy Data What is the probability that you reach into the jar and randomly grab a dime and then, without replacement, a nickel
Mathematics
1 answer:
GaryK [48]3 years ago
7 0

Answer:

The answer is "0.081"

Step-by-step explanation:

Dimes = 55

Calculating total coins = (23+55+20+19) = 117

P(for a dime) = \frac{55}{117}

Calculating remaining coins = 116

Nickels = 20

P(for nickel draw in second) = \frac{20}{116}

P(for a dime after that a nickel, without replacement)

= \frac{55}{117} \times \frac{20}{116} \\\\=  \frac{1100}{13572} \\\\=0.081

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PLEASE ANSWER THIS ASAP
Dima020 [189]

Answer:

last one

Step-by-step explanation: In a function the domain cannot repeat. The last one's domain is not repeating while the other ones from the other options are repeating.

5 0
2 years ago
Write the ratio as a fraction in simplest form. 5 meters : 20 meters
Alexus [3.1K]

Answer:

\frac{1}{4}

Step-by-step explanation:

Given the ratio

5 m : 20 m ← divide both parts by 5

= 1 : 4

= \frac{1}{4} ← as a fraction in simplest form

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3 years ago
Please Help!!!!!!! Meryl spends a total of $68.82 for 2 pairs of sneakers
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2x+3-5.32=68.82

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3 years ago
Read 2 more answers
A submarine is 105 ft below the surface of the water, and it begins to ascend at a rate of 3 ft per min. After how many min will
guapka [62]

Answer:

7 2/3 minutes

Step-by-step explanation:

We can write this equation in y = mx+b form

where m = 3 ft/min and b = -105 ft  

x is the number of minutes and y is the depth

y = 3 * x -105

We want to find when y = -82

-82 = 3x -105

Add 105 to each side

-82+105 = 3x-105+105

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Divide by 3

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Changing into a mixed number

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4 0
3 years ago
At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with
MatroZZZ [7]

Answer:

a)Slope: \hat \beta_1 =\frac{7625.9}{1248.9}=6.106

Intercept: \hat \beta_o = 157.955 -6.106 (69.686)=-267.548

b) r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"    

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

\sum Y_i =17375 , \sum X_i = 7665.5

Part a

The slope is given by this formula:

\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}

If we replace we got:

\hat \beta_1 =\frac{7625.9}{1248.9}=6.106

We can find the intercept with the following formula

\hat \beta_o = \bar y -\hat \beta_1 \bar x

We can find the average for x and y like this:

\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955

And replacing we got:

\hat \beta_o = 157.955 -6.106 (69.686)=-267.548

Part b

In order to calculate the correlation coefficient we can use this formula:  

r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}  

For our case we have this:  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

So we can find the correlation coefficient replacing like this:

r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

6 0
3 years ago
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