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2 years ago

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What is the value of x+y when 16 to the power X substrate 16 to the power Y is 64512 and 4 to the power x substrate 4 to the pow

er Y is 224.

1 answer:

Iteru [2.4K]2 years ago

5 0

Answer:

dont know sorry

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Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean

Zinaida [17]

Answer:

$E[R]$ = 99 Ω

$\sigma_R$ = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, $E[R] = \frac{a+b}{2} = \frac{95+103}{2} = \frac{198}{2}$ = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

$V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333$

Hence,

The standard deviation of resistance, $\sigma_R = \sqrt{V(R)} = \sqrt5.333$ = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

$z_1 = \frac{102-99}{2.3094} = 1.299$

$z_2 = \frac{98-99}{2.3094} = -0.433$

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0

2 years ago

Two row boats start at the same location, and start traveling apart along straight lines which meet at an angle of π3. Boat A is

alina1380 [7]

Answer:

5√3 miles per hour

Step-by-step explanation:

Throughout their journey, the component of velocity of rowboat B to the east is the same as that of rowboat A:

(10 mph)(cos(π/3)) = 5 mph

Meanwhile, the component of velocity of rowboat B to the north is ...

(10 mph)(sin(π/3)) = 5√3 mph

Since rowboat A is always traveling in a direction that is at right angles to the direction between the boats, it contributes nothing to their relative speed. Since rowboat B is always directly north of rowboat A, its speed to the north is their relative speed.

The distance between the rowboats is increasing at 5√3 mph ≈ 8.66 mph.

5 0

2 years ago

Suppose that a is a square matrix with characteristic polynomial (λ − 3)2(λ − 6)3(λ + 1). (a) what are the dimensions of a? (giv

Gnesinka [82]

The problem statement gives the correct answers for parts (a) and (b). The total number of roots of the characteristic polynomial is the dimension of the matrix: 6. The eigenvalues are the zeros of the characteristic polynomial, 3 (multiplicity 2), 6 (multiplicity 3), and -1.

(c) The matrix is not invertible when one or more eigenvalues is zero. None of yours are zero, so the matrix is invertible.

3 0

2 years ago

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical

Korolek [52]

Answer:

78% probability that a randomly selected online customer does not live within 50 miles of a physical store.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Total outcomes:

100 customers

Desired outcomes:

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. So the number of desired outcomes is 78 customers.

Using this estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical store?

$p = \frac{78}{100} = 0.78$

78% probability that a randomly selected online customer does not live within 50 miles of a physical store.

4 0

2 years ago

Identificati,prin verificare,ecuatia pentru care numarul x=3 este solutia

elena-s [515]

Answer:

concluzionăm că nu există o ecuație care să poată justifica valoarea x = 3 din opțiunile de mai sus după rezolvarea lor

Step-by-step explanation:

Urmează să aflăm din cele trei opțiuni date, care este una dintre opțiuni care rezultă în x = 3

Să rezolvăm opțiunea una după cealaltă pentru a deduce și determina care este răspunsul corect și corect.

a) $-2*x + 3 = 9$

$-2x = 9 -3$

$-2x = 6$

Împărțiți ambele părți la -2

x = 6/-2

x = -3

b) $-4*x +5 = 7$

$-4x = 7 -5$

$-4x = 2$

Împărțiți ambele părți la -4

$x = \dfrac{2}{-4} \\ \\ \\ x= \dfrac{1}{-2}$

c) $\dfrac{1}{3}*x -8 =9$

$\dfrac{1}{3}x = 9 +8$

$\dfrac{1}{3}x =17$

Înmulțiți ambele părți cu 3

$x =17*3$

x = 51

Prin urmare; concluzionăm că nu există o ecuație care să justifice valoarea x = 3 din opțiunile de mai sus după rezolvarea lor

5 0

2 years ago