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Naily [24]
3 years ago
15

49-c< or equal to 45thanks

Mathematics
1 answer:
m_a_m_a [10]3 years ago
3 0

49-c\leq45\qquad\text{subtract 49 from both sides}\\\\-c\leq-4\qquad\text{change the signs}\\\\\boxed{c\geq4}

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Show that the following functions are probability density functions for some value of k and determine k. Then, determine the mea
lord [1]

Answer:

a) 17.5

b) 15.6

c) 13.3

d) 21.51

Step-by-step explanation:

The given function is equal to:

f(x)=kx^2

where

\int\limits^y_0 {kx^{2} } \, =1

where y=23

Clearing k=0.00025

a) Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.00025x^{2} } \, dx =17.5

b)Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2}f(x) } \, dx-17.5^{2}  =\int\limits^y_0 {x^{2} *0.00025x^{2} } \, dx -17.5^{2} =321.82-306.25=15.6

c) The function is equal to:

f(x)=k(1+2x)

\int\limits^y_0 {k(1+2x)} \, =1

where y=20

k=0.0024

Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.0024(1+2x)} \, dx =13.3

d) Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2} f(x)} \, dx -13.3^{2}=\int\limits^y_0 {x^{2} *0.0024(1+2x)} \, dx-13.3^{2}   =198.4-176.89=21.51

8 0
3 years ago
Measure Math | Welcome, HAILEE KNOTT
grandymaker [24]

Answer: 15\times\frac{1}{2}

Explanation:

Multiplying by 1/2 is the same as dividing by 2.

For example, if you have 10 slices of cake and 2 friends, then each friend gets 10/2 = 5 slices. We could also say 10\times \frac{1}{2} = 5

The fraction 1/2 converts to the decimal form 0.5, which means 10 \times \frac{1}{2} = 10*0.5

3 0
3 years ago
Alex earn 12% Commission on any of her monthly sales over $5,000 for sales for May were $6,750 how much commission did Alex earn
Naddika [18.5K]

Answer:

you're question is complicated

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
To cover a rectangle region of her yard, Penny needs at least 170.5 square feet of sod. The length of the region is 15.5 feet. W
gulaghasi [49]
We know that the perimeter of a rectangle is 2(width)+2(length). We can multiply the length by 2 to find out how much remaining fencing we have, then divide that number by 2 to find the width.

15.5*2=31
170.5-31=139.5
139.5/2=69.75

A possible width is 69.75 feet.
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3 years ago
PLS HELP ME ASAP FOR 1 and 2 (SHOW WORK!) LOTS OF POINTS
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Well, number 1 is A, or p = 6t. This is because the number of points is equal to the number of touchdowns times six. *6 = (6)(1) *12 = (6)(2) *18 = (6)(3), etc
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