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Levart [38]
3 years ago
10

Zac is 4 years older than Bethany. The sum of their ages is 46. How old is Zac?

Mathematics
1 answer:
anygoal [31]3 years ago
4 0

Answer:

25

Step-by-step explanation:

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A certain brand of dinnerware set comes in three colors: red, white, and blue. Twenty percent of customers order the red set, 45
denis23 [38]

Answer:

a) 0.20

b) 0.45

c) 0.65

d) Yes

e) Yes

f) Z = X + Y (except when X = 1 and Y = 1)

This is because the successes of X and Y are mutually exclusive events but their failures aren't. X and Y cannot both be 1.

Step-by-step explanation:

Probability of a red set = 20% = 0.20

Probability of a white set = 45% = 0.45

Probability of a blue set = 35% = 0.35

Probability of the single set being a red or white set = 20% + 45% = 65% = 0.65

P(X=1) = 0.20, P(X=0) = 1 - 0.2 = 0.80

P(Y=1) = 0.45, P(Y=0) = 1 - 0.45 = 0.55

P(Z=1) = 0.65, P(Z=0) = 1 - 0.65 = 0.35

a) pX = P(X=1) = 0.20

b) pY = P(Y=1) = 0.45

c) pZ = P(Z=1) = 0.65

d) Since only one order is being considered at a time, it isn't possible to order red & white set in a single set, hence, both X and Y cannot both be successes (equal to 1) at the same time. But they can both be failures (both equal to 0) if a blue set is ordered. The successes of X and Y are mutually exclusive events but their failures aren't

e) Is pZ = pX + pY

pX = 0.2, pY = 0.45, pZ = 0.65

Hence, this statement is correct!

f) Z = X + Y

Let's check all the probabilities

when X = 1 and Y = 1, Z = 1

1 ≠ 1 + 1

when X = 0 and Y = 1, Z = 1

1 = 0 + 1

when X = 1 and Y = 0, Z = 1

1 = 1 + 0

when X = 0 and Y = 0, Z = 0

0 = 0 + 0

Hence, Z = X + Y (except when X = 1 and Y = 1)

This is because the success of X and Y are mutually exclusive events but their failures aren't.

8 0
3 years ago
Expresión algebraica el cuadrado del cubo de la suma de dos números​
bearhunter [10]

Answer:

El cuadrado de la suma de dos números es igual a (a + b) ² = a² + 2ab + b²Un producto notable: es una expresión matemática que conocemos ya el resultado, a pesar de la operación ser sencilla tenemos

3 0
3 years ago
the volleyball team needs new uniforms. the students plan to sell plush toy Eagles ( the school mascot) for $5 each. The student
sammy [17]

Answer:

Company C

Step-by-step explanation:

You divide the amount of money it all costs to the number of plushies they are selling it for.

A: 34.08/12 = $2.84 each

B: 42.90/15 = $2.86 each

C: 50.58/18 = $2.81 each

So C has the least amount of money spent for a greater amount of plushies so C would be the Best Buy.

7 0
3 years ago
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I dont know how to find the answer
sleet_krkn [62]

Answer:

a rotation followed by a translation

Step-by-step explanation:

i took the class last trimester

4 0
2 years ago
Look how he has proved that
Advocard [28]

Answer:

false

Step-by-step explanation:

as a guy who studied calculus, a lot of things were done that are just mathematically incorrect. for instance,

infinity - infinity is not 0.

0÷0 is undefined. so you cant just equate it to ( 2 × infinity)

to sum up this proof is entirely false.

if you still have any doubts make sure to ask.

5 0
2 years ago
Read 2 more answers
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