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MaRussiya [10]
3 years ago
7

An experiment consists of drawing 1 card from a standard​ 52-card deck. Let E be the event that card drawn is a heart. Find​ P(E

).
Mathematics
1 answer:
Andrews [41]3 years ago
8 0

Answer:

P(E) = \frac{1}{4}

Step-by-step explanation:

Probability refers to chance of occurrence of any event.

Total number of cards = 52

Number of hearts = 13

P(E) = Number of favorable outcomes / Total number of outcomes

= Number of hearts / Total number of cards

= \frac{13}{52}

= \frac{1}{4}

Therefore,

P(E) = \frac{1}{4}

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Calculate the annual return percentage
const2013 [10]
The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%

b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
plugging the values in the equation we obtain:
2600=2000(1+r)^1
simplifying and solving for r we obtain:
2600/2000=1+r
1.3=1+r
hence
r=1.3-1
r=0.3~30%

7 0
3 years ago
If f(x) = 2x - 6 and g(x) = 3x + 9, find (f + g)(x)
alex41 [277]

Answer:

5x+3

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) \\  =2x - 6 + 3x + 9 \\  = 5x + 3

consider marking as Brainliest if this helped

5 0
3 years ago
janice bought her mother a bunch of 10 flowers. two of the flowers are daisies. one half of the remaining flowers are tulips. wr
Paul [167]
2/10, or simplified as 1/5.
Since the part that are daisies is 2, and the total number of flowers is 10, the fraction is 2/10 or 1/5.
3 0
3 years ago
The inverse of x y is: x y x y y x x y y x
serg [7]

Answer:

The inverse of xy is yx.

Step-by-step explanation:

Given:  xy

We need to find the inverse of xy.

To find inverse of an expression, we need to replace the variable x by y and y  by x.

Given xy.

Now replace x by y and y by x, we get

yx

Therefore, the inverse of xy is yx.

Let me show you an example.

y = x - 2

To find the inverse function, replace x by y and y by x, we get

x = y - 2

It is an equation, to write the equation in terms of y, add 2 from both sides, we get

x + 2 = y -2 + 2

x + 2 = y

Therefore, y = x + 2

5 0
3 years ago
Triangle ABC is congruent to triangle DFE. Find y.
kirza4 [7]
Angles D and A are equal (from the statement bc the name of triangle starts with A and D)

Now set an equation of the angles so 
45 = 5y -10

Add 10 on both sides

55 = 5y 
divide by 5

y = 11
6 0
3 years ago
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