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2 years ago

Change 3/8 in to decimal show working

Mathematics

1 answer:

mixas84 [53]2 years ago

7 0

Answer:

0.375

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

3/8 = 0.375

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The life expectancy (in hours) of an electric bulb is normally distributed with a mean of 5000 and a standard deviation of 1000.

Sergeu [11.5K]

Answer:

P(z>1.3) = 0.9032

Step-by-step explanation:

We are given:

Mean = 5000

Standard deviation = 1000

x = 6300

P(x>6300)=?

z-score =?

z-score = x- mean/standard deviation

z-score = 6300 - 5000/1000

z- score = 1300/1000

z-score = 1.3

So, P(x>6300) = P(z>1.3)

Looking at the z-probability distribution table and finding value:

P(z>1.3) = 0.9032

So, P(z>1.3) = 0.9032

7 0

2 years ago

Solve a) 2(x+3)=x-4 b) 4(5x-2)=2(9x+3)

Nat2105 [25]

Answer:

a) -10 b) 7

Step-by-step explanation:

a) 2(x+ 3) = x - 4

2x + 6 = x - 4

2x - x = -6 - 4

x = -10

b) 4(5x - 2) = 2(9x + 3)

20x - 8 = 18x + 6

20x - 18x = 6 + 8

2x = 14

x = 14/2

x = 7

5 0

2 years ago

Read 2 more answers

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

How do you estimate 2,641 x 9

ASHA 777 [7]

To estimate 2641 x 9 is that you round each number. so it would be 2641 to 2640 and the 9 would round to 10. 2640 x 10

3 0

2 years ago

Read 2 more answers

Please help 70 Brainly points thanks

Cloud [144]

Answer:

9) x=58

10) r=4

11) m=4

12) p=3

13) x=6

14) x=-3

15) s=400

Step-by-step explanation:

9) x+2/5=12

x5 x5

x+2=60

-2 -2

x=58

10) 7r + 14 - 3r =30

-14 -14

7r-3r=16

4r=16

÷4 ÷4

r=4

11) $\frac{4}{5}$ m+2=6

-2 -2

$\frac{4}{5}$ m=4

÷ $\frac{4}{5}$ ÷ $\frac{4}{5}$

m=4

12) 2(5p+9)=48

10p+18=48

-18 -18

10p=30

÷10 ÷10

p=3

13) 5(2x-8)=20

10x-40=20

+40 +40

10x=60

÷10 ÷10

x=6

14)6(3-2x)=54

18-12x=54

-18 -18

-12x=36

÷-12 ÷-12

x=-3

15) $\frac{2s}{5}$ - $\frac{s}{2}$ =40

x5 x5

2s- $\frac{s}{2}$ =200

x2 x2

2s-1s=400

1s=400

÷1 ÷1

s=400

6 0

2 years ago

Read 2 more answers

Change 3/8 in to decimal show working​

Change 3/8 in to decimal show working