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2 years ago

A card is drawn from a standard deck. Find the probability of drawing a heart or a 7.

Mathematics

1 answer:

Mazyrski [523]2 years ago

6 0

<h3>Answer: 4/13</h3>

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

Explanation:

There are A = 13 hearts and B = 4 copies of "7"

The count A+B = 13+4 = 17 may seem like it's the count of hearts or "7" cards, but we're double counting the 7 of hearts. So the true count is actually 17-1 = 16

There are 16 cards we want (either a heart or a "7") out of 52 total. Therefore, the probability is 16/52 = (4*4)/(4*13) = 4/13

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How do I solve a=b/c² for b

Anarel [89]

Answer:

a * c^2 = b

Step-by-step explanation:

you would want to multiply both sides of the equation by c^2

a * c^2 = b

That gets you this formula you can then plug your numbers in

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3 years ago

How many solutions does the nonlinear system of equations graphed below<br> have?

FrozenT [24]

Answer:

A) Zero

Step-by-step explanation:

A good way to tell how many solutions there are in a system of equations, is to look at how many times the equations intersect. In this case, the equations don't intersect so there are no solutions.

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3 years ago

List the ordered pairs in the equivalence relations produced by these partitions of {a, b, c, d, e, f, g}: a) {a,b},{c,d},{e,f,g

finlep [7]

Answer:

a) {a,b} , {c,d} , {e,f,g},{a , b } = {(a,a) (b,b) (a,b) (b,a)},{c , d } = {(c,c) (d,d) (c,d) (d , c) } ,{e,f,g} = {(e,e) (e,f) (f,e) (e,g) (f,f) (f,g) ( g,e) (g,f)(g,g)}

b) { (a,a)(b,b)(c,c)(c,d)(d,c)(d,d)(e,e)(e,f)(f,e)(f,f)(g,g)

c) {(a,a)(a,b)(b,b)(b,a)(a,c)(c,a)(b,c)(c,b)(c,c)(d,a)(a,d)(b,d)(d,b)(d,c)(c,d)(d,d)(c,c)(c,f)(f,c)(f,f)(c,g)(g,c)(f,g)(g,f)(g,g)

Step-by-step explanation:

a) {a,b} , {c,d} , {e,f,g}

{a , b } = {(a,a) (b,b) (a,b) (b,a)}

{c , d } = {(c,c) (d,d) (c,d) (d , c) }

{e,f,g} = {(e,e) (e,f) (f,e) (e,g) (f,f) (f,g) ( g,e) (g,f) (g,g)}

b) {a} ,{b},{c,d} ,{e,f},{g}

{ (a,a)(b,b)(c,c)(c,d)(d,c)(d,d)(e,e)(e,f)(f,e)(f,f)(g,g)}

c) {a,b,c,d},{e,f,g}

{(a,a)(a,b)(b,b)(b,a)(a,c)(c,a)(b,c)(c,b)(c,c)(d,a)(a,d)(b,d)(d,b)(d,c)(c,d)(d,d)(c,c)(c,f)(f,c)(f,f)(c,g)(g,c)(f,g)(g,f)(g,g)

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3 years ago

The elevator at the state capital has a maximum weight capacity of 2000 pounds. If there are 3

Korolek [52]

Answer:

Step-by-step explanation:

Maximum capacity of the elevator = 2000 pounds

Combined weight of the elevator = 428 pounds

A). Let the possible weights that can be added to the elevator = w pounds

B). Therefore, inequality representing this situation will be,

428 + w < 2000

C). By solving the given inequality,

(428 + w) - 428 < 2000 - 428

w < 1572 pounds

Now we draw this inequality on a number line.

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3 years ago

Write a proportion and then solve to find the missing measure of the reduced rectangle. What two ratios can be used in the propo

lions [1.4K]

Answer:

What two ratios can be used in the proportion?

8/3 and 18/x

What is the value of a missing measure?

6.75 in.

Step-by-step explanation:

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3 years ago