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Triss [41]
3 years ago
5

A card is picked at random

Mathematics
1 answer:
sveta [45]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

the probability  of selecting a spade: 14/52 = 1/4

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What is compound interest What is the difference between compounded monthly and<br> continuously
ikadub [295]

Answer:

compostion

Step-by-step explanation:

comPOSTION

6 0
3 years ago
What is the percent of decrease from 200 to 110? A. 45% B. 55% C. 82% D. 90%
strojnjashka [21]
A) 45%, (100-200)/200=0.45 which also equals 45% :) 
8 0
3 years ago
Find an n^th degree polynomial with real coefficients satisfying the given conditions. n = 3; -2 and 2 i are zeros; f(-1) = 15.
Ira Lisetskai [31]
So, n = 3, is a 3rd degree polynomial, roots are -2 and 2i

well 2i is a complex root, or imaginary, and complex root never come all by their lonesome, their sister is always with them, the conjugate, so if 0+2i is there, 0-2i is there too

so, the roots are -2, 2i, -2i

now... \bf \begin{cases}&#10;x=-2\implies x+2=0\implies &(x+2)=0\\&#10;x=2i\implies x-2i=0\implies &(x-2i)=0\\&#10;x=-2i\implies x+2i=0\implies &(x+2i)=0&#10;\end{cases}&#10;\\\\\\&#10;(x+2)\underline{(x-2i)(x+2i)}=0\\\\&#10;-----------------------------\\\\&#10;\textit{difference of squares}&#10;\\ \quad \\&#10;(a-b)(a+b) = a^2-b^2\qquad \qquad &#10;a^2-b^2 = (a-b)(a+b)\\\\&#10;-----------------------------\\\\&#10;(x+2)[x^2-(2i)^2]=0\implies (x+2)[x^2-(2^2i^2)]=0&#10;\\\\\\&#10;(x+2)[x^2-(4\cdot -1)]=0\implies (x+2)(x^2+4)=0&#10;\\\\\\&#10;x^3+2x^2+4x+8=0

now, if we check f(-1), we end up with 5, not 15
hmmm

so, how to turn our 5 to 15? well, 3*5, thus

\bf 3(x^3+2x^2+4x+8)=f(x)\implies 3(5)=f(-1)\implies 15=f(-1)

usually, when we get the roots, or zeros, if any common factor that is a constant is about, they get in a division with 0 and get tossed, and aren't part of the roots, thus, we can simply add one, in this case, the common factor of 3, to make the 5 turn to 15
6 0
3 years ago
In my friend's coin purse, I found 12 pennies. The ages, in years, of the pennies obtained by subtracting the year stamped on th
Arlecino [84]

Answer: mean = 10.3 and median = 9.5

Step-by-step explanation:

Given data :

22, 14, 8, 1, 9, 0, 31, 2, 13, 3, 11, 10

Mean = \dfrac{\text{Sum of all data values}}{\text{No. of data values}}

=\dfrac{22+14+8+1+9+0+31+2+13+3+11+10}{12}

=\dfrac{124}{12}=10.3

Median = Middle most value.

For Median , we first arrange the data values in an order.

0 , 1 , 2, 3, 8, 9, 10 , 11, 13 , 14,  22, 31

Since , number of data values is 12 ( even) , so the median would be the mean of the two middlemost value.

i.e . Median= \dfrac{9+10}{2}=9.5

Hence, the  mean and median of this distribution (in years) are :

mean = 10.3 and median = 9.5

8 0
3 years ago
Which expression is equivalent to this expression?<br><br> 3/4 (4h – 6)
sergij07 [2.7K]
Answer:
3h-9/2
Step-by-step explanation:
3/4(4h-6)=3h-18/4
simplify
3h-9/2
7 0
3 years ago
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