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Citrus2011 [14]
3 years ago
13

Suppose you draw a card from a​ well-shuffled deck of 52 cards. What is the probability of drawing a 5 or a queen?

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0
A 5 or a queen

52 cards per deck
each card repeats 4 times

a 5 or a queen
there are four 5's and four queens
4+4=8

probablity=desiredoutcomes/totalpossible
probablity=8/52
probablity=4/26
probablity=2/13
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3. Basket A had 7 times as many plums as basket B at first. Zoe put 58 more plums in each
asambeis [7]

Answer:

87 many more plums are there in Basket A than Basket B

Step-by-step explanation:

Before

N = 58/2

Basket A = N x 7 + 58

Basket B = N x 7

Now

Basket A = 29 x 7 + 58

= 261/3

= 87

Basket B =  29 x 7

= 203 + 58

= 261/3

= 87

Basket A and B has a difference of 87 Plums

:) Thank you!!

4 0
3 years ago
Evaluate each expression using order of operations <br><br>40-32÷8+5×-2​
klio [65]

Answer:

26

Step-by-step explanation:

40-32÷8+5×-2

40-4+5×-2

40-4+-10

36+-10

26

6 0
3 years ago
HELP. How long is the minor axis for the ellipse shown below?
kifflom [539]

Given:

The equation of ellipse is

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1      ...(ii)

On comparing (i) and (ii), we get

b^2=16

Taking square root on both sides.

b=\pm 4

Consider only positive value of b because length cannot be negative.

b=4

Now,

Length of minor axis = 2b

                                  = 2(4)

                                  = 8

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

8 0
2 years ago
The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
Tju [1.3M]
Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
8 0
3 years ago
What is the equation of the line through (1, 6) and (0, 2)?
ASHA 777 [7]

Answer:

y = 4x + 2

Step-by-step explanation:

y = mx + b

m is the slope

b is the y-intercept

6 0
3 years ago
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