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2 years ago

Find the weighted average of these values

2 answers:

7 0

I am pretty sure that the main thing that we should do to solve this task is to do this : $5(0.75)+6(0.15)+7(0.10)$ $3.75+0.9+0.7


5.35$ which is weighted average as it only can be found by adding <span>the products of each corresponding value. Hope everything is clear! Regards!</span>

mina [271]2 years ago

3 0

Answer:

Weighted Average = Σwx / Σw = 5.35 / 1 = 5.35

Step-by-step explanation:

The Formula for calculating the Weighted Average of a data set is;

Weighted Average = Σwx / Σw

Where

Σwx - Is the sum of the product of each weight, and its value

Σw - Is the sum of each weight

In this case,

Σwx = (5.00 * (75.0 / 100)) + (6.00 * (15.0 / 100)) + (7.00 * (10.0 / 100))

= (5.00 * 0.75) + (6 * 0.15) + (7 * 0.10)

= 3.75 + 0.90 + 0.70

= 5.35

Σw = (75.0 / 100) + (15.0 / 100) + (10.0 / 100)

= 0.75 + 0.15 + 0.1

= 1

Hence, Weighted Average = Σwx / Σw = 5.35 / 1 = 5.35

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Find the values of x1 and x2 where the following two constraints intersect.

Arte-miy333 [17]

Answer: x1 = 251/26, x2 = -111/26

Step-by-step explanation:

Hi!

As you can see in the figure, the point you are looking for is the intersection of two lines.

The intersection point is found solving this system of linear equations (the point must satisfy both equations):

$9x_1 +7x_2=57\\4x_1 + 6x_2 = 13$

You can solve it, for example, by the method of substitution:

$\text{solve for x1 in the first equation:}\\x_1 = \frac{1}{9}(57 - 7x_2)$

Then plug x1 into equation 2, and solve for x2:

$\frac{4}{9}(57-7x_2) + 6x_2 = 13\\\text{doing the algebra you get:}\\x_2 = \frac{-111}{26}$

Then you use the value of x2 to get x1:

$x_1 = \frac{1}{9}(57 - 7x_2)= \frac{1}{9}(57 + 7*\frac{111}{26}) = 251/26\\$

4 0

2 years ago

Eli needs pieces of ribbon cut into strips that are 2 1\2 feet long. The roll of ribbon is 7 1\2 feet long. Which expression cou

julsineya [31]

Answer: There are 3 strips that can be cut from the roll of ribbon.

Step-by-step explanation:

since we have given that

Length of a ribbon is given by

$7\frac{1}{2}\ ft\\\\=\frac{15}{2}\ ft$

Length of pieces of ribbon cut into strips is given by

$2\frac{1}{2}\ ft\\\\=\frac{5}{2}\ ft$

So, we need to find the number of strips that can be cut is given by

$\text{ Number of strips }=\frac{\text{Length of roll}}{\text{ Length of strip}}\\\\=\frac{\frac{15}{2}}{\frac{5}{2}}\\\\=\frac{15\times 2}{2\times 5}\\\\=\frac{15}{5}\\\\=3$

Hence, there are 3 strips that can be cut from the roll of ribbon.

6 0

2 years ago

Read 2 more answers

Let f(x)=−3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u

deff fn [24]

<h2>Answer:</h2>

Ques 1)

$g(x)=-12x+48$

Ques 2)

$g(x)=|3x|+4$

<h2>Step-by-step explanation:</h2>

Ques 1)

We know that if a graph is stretched by a factor of a then the transformation if given by:

f(x) → a f(x)

Also, we know that the translation of a function k units to the right or to the left is given by:

f(x) → f(x+k)

where if k>0 then the shift is k units to the left

and if k<0 then the shift is k units to the right.

Here the graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.

This means that the function g(x) is given by:

$g(x)=4f(x-4)\\\\i.e.\\\\g(x)=4(-3(x-4))\\\\i.e.\\\\g(x)=-12(x-4)\\\\i.e.\\\\g(x)=-12x+48$

Ques 2)

We know that the transformation of the type:

f(x) → f(x)+k

is a shift or translation of the function k units up or down depending on k.

If k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here, The graph of the function f(x)=|3x| is translated 4 units up.

This means that the transformed function g(x) is given by:

$g(x)=|3x|+4$

4 0

2 years ago

Matthew and his 3 siblings are wedding a flower bed with an area of 9 square yards. If they shared the job equally,how much squa

Tatiana [17]

The answer is 27 yards

4 0

1 year ago

Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of

Gelneren [198K]

Answer:

$P(X < 24 )= 21.186\%$

$x = 19.78 \ months$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 26 \ months$

The standard deviation is $\sigma = 4 \ months$

Generally 2 year is equal to 24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

$P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )$

Generally $\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )$

$P(X < 24 )= P(Z < -0.8 )$

Generally from the z-table

$P(Z < -0.8) = 0.21186$

$P(X < 24 )= 0.21186$

Converting to percentage

$P(X < 24 )= 0.21186 * 100$

=> $P(X < 24 )= 21.186\%$

Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

$P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06$

=> $P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06$

From the normal distribution table the z-score for 0.06 at the lower tail is

$z = -1.555$

$\frac{x - 26}{4} = -1.555$

=> $x = 19.78 \ months$

6 0

2 years ago