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My name is Ann [436]
2 years ago
13

Most decks of playing cards contain 4 suits - hearts, clubs, diamonds, and spades. If you choose one card from the deck at rando

m, what is the probability that it will be from the suit hearts
Mathematics
1 answer:
Murrr4er [49]2 years ago
5 0

Answer:

1/4

Step-by-step explanation:

there are only four suits and an equal number of cards from each suit, which makes 13 hearts, clubs, spades, and diamonds, so the chance for one of them to be chosen is 13/52, which is reduced to 1/4, or 25 percent.

have a good day friend :)

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Find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)
timama [110]
<h3>Answer:   c = 7/4</h3>

================================================

Work Shown:

Compute the function value at the endpoints

f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\

With a = -5 and b = 4, we have

f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\

So,

f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\

Use algebra to solve for c

-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\

6 0
2 years ago
In the figure below, B is the center of the circle, NL
Black_prince [1.1K]

Answer: x=12

Step-by-step explanation:

OQ is equal to NL since both contain 90 degree angles and are intersected by a radius. Since OS is 3x-2 and NL is 32, then we need to find OQ and set it equal to NL. OS is half of OQ, so multiplying OS by 2 will get you OQ. 6x-4=32

That yields x=12.

8 0
3 years ago
Read 2 more answers
2х - Зу= 2<br> х= бу - 5<br> X=<br> Y=
Fynjy0 [20]

Answer:

2x-3y=2

x=6y-5

2(6y-5)-3y=2

use the distributive property.

2*6y=12y

2*-5=-10

12y-10-3y=2

combine like terms

12y-3y=9y

9y-10=2

add 10 to both sides.

9y-10+10=9y

2+10=12

9y=12

divide both sides by 9

9y/9=y

y=about 1.33

plug in the value of y in the expression equal to the value of x.

x=6(1.33)-5

solve

6*1.33=7.98

x=7.98-5

7.98-5=2.98

Step-by-step explanation:

x=2.98

y=1.33

6 0
2 years ago
Prove that 3:8 is equivalent to 12:32 use a diagrams your answer
maxonik [38]
3×4= 12
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8×4=32 Thus is how you get your answer just find the GCD greatest common denominator of 3 and 8?
6 0
2 years ago
Q1. If ∛5x+10=5, Find x
aleksandrvk [35]

Answer:

\sqrt[3]{5x+10}=5 / ^{3}\\  5x+10=125\\5x=115/:5\\x=23

If you mean that :\sqrt[3]{5x}+10=5 this is

\sqrt[3]{5x}+10=5 /^{3} \\5x+1000=125\\5x=-875/:5\\x=-175

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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