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Artyom0805 [142]
3 years ago
5

A penny, a nickel, a dime, and a quarter are tossed. What is the probability of obtaining at least one head on the tosses?

Mathematics
1 answer:
Anton [14]3 years ago
5 0
The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .
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If u, v, and w are nonzero vectors in r 2 , is w a linear combination of u and v?
Tju [1.3M]
Not necessarily. \mathbf u and \mathbf v may be linearly dependent, so that their span forms a subspace of \mathbb R^2 that does not contain every vector in \mathbb R^2.

For example, we could have \mathbf u=(0,1) and \mathbf v=(0,-1). Any vector \mathbf w of the form (r,0), where r\neq0, is impossible to obtain as a linear combination of these \mathbf u and \mathbf v, since

c_1\mathbf u+c_2\mathbf v=(0,c_1)+(0,-c_2)=(0,c_1-c_2)\neq(r,0)

unless r=0 and c_1=c_2.
8 0
3 years ago
Which function has an inverse that is also a function? B9X) = x^2+3 d(x) = -9 m(x) = -7x P(x) = X
ohaa [14]
B(x) has an inverse that is also a function.
7 0
3 years ago
George earn 3 dollars each time he sweeps and mops in the family room for you trying to earn $17 for tickets to the end of the s
uranmaximum [27]
17+4=21 
21 divided by 3= 7
17 dollars for tickets 
21-4=17
so your answer is 21 he has to sweep the floor 21 times to get tickets

5 0
3 years ago
Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle. Draw a picture to re
Anon25 [30]

Answer:

The angles are 26 and 64

Step-by-step explanation:

When two angles are complementary, what this means is that the add up to 90 degrees

Now, let’s say one of the angles is x, the other angle is 12 more than twice it; mathematically that would be 2x + 12

Since they add up to be 90, we have

x + 2x + 12 = 90

3x + 12 = 90

3x = 90-12

3x = 78

x = 78/3

x = 26

The other angle is 2x + 12 = 2(26) + 12 = 52 + 12 = 64

7 0
3 years ago
Suzie's Nursery is having a sale on two kinds of plants, venus fly traps and bonsai trees.
ANTONII [103]

Answer:

Venus fly trap = 12

Bonsai tree = 17

Step-by-step explanation:

Given that :

Venus fly trap = $3per plant

Bonsai tree = $5 per plant

Number of plants sold = 29

Total cost of plant sold = $121

Let venus fly trap = x ; bonsai tree =y

x + y = 29 ___ (1)

3x + 5y = 121 ____(2)

From (1) :

x = 29 - y

In (2):

3(29 - y) + 5y = 121

87 - 3y + 5y = 121

87 + 2y = 121

2y = 121 - 87

2y = 34

y = 34/2

y = 17

x = 29 - 17

x = 12

Hence,

Venus fly trap = 12

Bonsai tree = 17

7 0
3 years ago
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