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3 years ago

Emily can arrange 20 vases of flowers in 6 hours. Find Emily's rate per hour for arranging

Mathematics

1 answer:

Sergio [31]3 years ago

6 0

Answer:

$3 \frac{1}{3}$ vases per hour

Step-by-step explanation:

To find the unit rate, solve the total amount of vases that Emily arranged divided by the amount of time that Emily took to arrange the vases.

Or, in other words, solve 20 ÷ 6, since Emily arranged 20 vases and it took her 6 hours to complete it.

You can do this by hand or you can do it on a calculator.

After you solved it, you should get $3 \frac{1}{3}$ , or 3.33333...

So, Emily's rate is $3 \frac{1}{3}$ vases per hour.

<h2><u><em>Please mark as Brainliest!!!</em></u></h2>

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Write an algebraic expression for 84 more than the product of 167 and b

Ket [755]

Answer:

167b + 84

Step-by-step explanation:

Multiplication is indicated between a number and a variable by writing them next to each other. A "product" is the result of multiplication, so "the product of 167 and b" is written 167b.

If you want a value that is 84 more than that, you get it by adding 84.

167b + 84

4 0

2 years ago

Distributive property of (9×3)+(9×8)

Elodia [21]

We can see that both expressions, 9 times 3 and 9 times 8, have a common number of 9. We can take that number out, and we can combine 3 and 8 together. This gives us the expression 9(3 + 8). Therefore, the expression <span>(9×3)+(9×8) expressed as the distributive property is 9(3 +8), both totaling to 99. Hope this helped and have a fabulous day!</span>

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3 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

At beacon hills middle school, 10% of children travel by bus. if this represents 60 cgildren how many children attend to the sch

VMariaS [17]

600,, because if 10% is 60 all you have to do is multiply 60 times 10 to get your answer on how many children attend the middle school. 20%= 120,, 30%= 180,, 40%= 240 and so on.

5 0

3 years ago

Y 65° 25 <br>can someone solve this ?

n200080 [17]

Answer: a=25

Explanation: I am assuming you are looking for “a” so if you heard the method of 45, 45, 90 it helps you solve it. So by the 45 being across from 25 makes the 45 across a 25 as well, hope this was what you were looking for…

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3 years ago