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mixer [17]
3 years ago
7

The days maturity for a sample of 5 money market funds areshown here. The dollar amounts invested in the funds areprovided. Use

the weighted mean to determine the mean numberof days to maturity for dollars invested in these 5 money marketfunds.COL1 Days tomaturity 20 12 7 5 6COL2 $$ Value (millions) 20 30 10 15 10
Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

\bar X= \frac{20*20 +12*30 +7*10 +5*15 +6*10}{20+30+10+15+10}

\bar X = \frac{965}{85}= 11.353

Step-by-step explanation:

For this case we have the following data:

Days to Maturity       Dollar Value $ Millions)

    20                                     20

    12                                      30

    7                                        10

    5                                        15

    6                                        10

For this case the definition of weigthed mean is given by:

\bar X = \frac{\sum_{i=1}^n w_i x_i}{\sum_{i=1}^n w_i}

Where w_i , i=1,...,n represent the weight of each value and x_i , i=1,...,n represent the observations (Days to maturity)

Our interest is the number of days so then our weighting variable would be the dollar Value, so then we can find the weighted mean like this:

\bar X= \frac{20*20 +12*30 +7*10 +5*15 +6*10}{20+30+10+15+10}

\bar X = \frac{965}{85}= 11.353

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Kaylis [27]
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8 0
3 years ago
What is the slope of (10, 4), (4, 15)?
kakasveta [241]

Answer:

Slope is -11/6

Step-by-step explanation:

Given \:   points \:   are \:    (10,4) \:  \: and \: (4,15) \\ slope \:  =  \frac{y2 - y1}{x2 - x1}  \\ here \: x1 = 10 \:  \:  \: y1 = 4 \\ and \:  \: x2 = 4 \:  \:  \: and \:  \: y2 = 15 \\ on \: substituting \: the \: values \: in \: formula \\ slope =  \frac{15 - 4}{4 - 10}  \\  =  \frac{11}{ - 6}

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

6 0
3 years ago
Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)
Mnenie [13.5K]
One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
(x-h)^2+(y-k)^2=r^2
the center is (h,k) and the radius is r

and the distance formula is
distance between (x_1,y_1) and (x_2,y_2) is
D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}


r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle


so
(x+2)^2+(y-3)^2=18
(x-(-2))^2+(y-3)^2=(\sqrt{18})^2
(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2

the radius is 3\sqrt{2}
center is (-2,3)

find distance between (8,4) and (-2,3)

D=\sqrt{(8-(-2))^2+(4-3)^2}
D=\sqrt{(8+2)^2+(1)^2}
D=\sqrt{10^2+1}
D=\sqrt{100+1}
D=\sqrt{101}




r=3\sqrt{2}≈4.2
D=\sqrt{101}≈10.04

do r<D

(8,4) is outside the circle

6 0
3 years ago
Find the point that is 3/4 of the distance P (-6,-5) to the point Q (2,7)
Zarrin [17]

Using proportions, the coordinates of the point 3/4 of the way from P to Q are: (0,4).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We want to find the coordinates of point M(x,y) 3/4 of the way from P to Q, hence the rule is given by:

M - P = 3/4(Q - P)

For the x-coordinate, we have that:

x + 6 = 3/4(2 + 6)

x + 6 = 6

x  = 0.

For the y-coordinate, we have that:

y + 5 = 3/4(7 + 5)

y + 5 = 9.

y = 4.

The coordinates are (0,4).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
1 year ago
The volume of a rectangular box is 330 cubic inches. The length on one side of the top is 11 inches, and the height of the box i
Kipish [7]

Answer:

width = 10 inches

Step-by-step explanation:

V = lwh

w = \frac{V}{lh} = \frac{330in^{3} }{11in(3in)} = \frac{330}{33} = 10 inches

7 0
2 years ago
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