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MArishka [77]
3 years ago
13

Karla bought 2 pounds of red beads , 1 3/4 pounds of green beads , and 10 ounces of string at the craft store. How much do Karla

's supplies weigh in all.
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0
First you can change the mixed fraction (1 3/4) into an improper fraction.  First you add the whole number add the nominator and then multiply what you get by the denominator.  So 1+3=4, 4x4=16.  Then we have 16/4 which simplifies to 4.  Now we can add everything else because they all have common denominators (2/1, 4/1, 10/1).  So 2+4=6.  6+10= 16.
The final answer is 16 pounds.
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(Hypothetical.) Suppose a certain person's reaction time, in seconds, for pressing a button on a visual cue has the following cu
Sonbull [250]

Answer:

the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

Step-by-step explanation:

Given the data in the question;

the cumulative distribution function F(x) = 1 - \frac{1}{(x + 1)^3} ; x > \theta

probability the person's reaction time will be between 0.9 and 1.1 seconds

P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )

P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)

= [ 1 - \frac{1}{(x + 1)^3}  ] - [1 - \frac{1}{(x + 1)^3} ]

we substitute

= [ 1 - \frac{1}{(1.1 + 1)^3}  ] - [1 - \frac{1}{(0.9 + 1)^3} ]

= [ 1 - \frac{1}{(2.1)^3}  ] - [1 - \frac{1}{(1.9)^3} ]

= [ 1 - \frac{1}{(9.261)}  ] - [1 - \frac{1}{(6.859)} ]

= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]

= 0.8920203 - 0.8542062

= 0.0378

Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

5 0
3 years ago
Write an equation of the circle with center (3,-2) and radius 6
Lubov Fominskaja [6]

Answer:

\displaystyle (x-3)^2 + (y+2)^2 = 36

Step-by-step explanation:

We want to write the equation of a circle with a center at (3, -2) and a radius of 6 units.

Recall that the equation of a circle is given by:

\displaystyle (x-h)^2 + (y-k)^2 = r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is at (3, -2), <em>h</em> = 3 and <em>k</em> = -2. <em>r</em> = 6. Substitute:

\displaystyle (x-(3))^2  +(y-(-2))^2 = (6)^2

Simplify:

\displaystyle (x-3)^2 + (y+2)^2 = 36

In conclusion, the equation of the circle will be:

\displaystyle (x-3)^2 + (y+2)^2 = 36

8 0
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