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Ahat [919]
3 years ago
11

If P=Q^R , Q=R^P , R=P^Q.Then Prove: P×Q×R=1.​

Mathematics
1 answer:
8_murik_8 [283]3 years ago
5 0

Answer:

PQR=1

Step-by-step explanation:

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397 of 514 randomly selected U.S. adults interviewed said they would not be bothered if the National Security Agency collected r
Afina-wow [57]

Answer:

z=14.73

p=0.000

for 99% confidence level the null hypothesis is rejected, thus majority of us adults would not bothered if the NSA collected personal records.

Step-by-step explanation:

H_{0}: Half of US adults would not bothered if the NSA collect records of personal telephone calls

H_{A}: Majority of the adults would not bothered if the NSA collect records of personal telephone calls

According to the sample, z-value can be found using the formula:

z=\frac{X-M}{\sqrt{n*p*(1-p)} } where

  • X is the adults, who would not be bothered in the survey (397)
  • M is the mean of the distribution of null hypothesis (257)
  • n is the sample size (514)
  • p is the proportion of the sample, who said they would not bothered ( \frac{397}{514} ≈ 0.77)

Putting these numbers in the formula,

z=14.73  and corresponding p value is p≈0.000

Since p<0.01,  for 99% confidence level we reject the null hypothesis, thus majority of us adults would not bothered if the NSA collected personal records.

8 0
3 years ago
I need to know what the value is for x
hoa [83]
4/6 = x + 3/ 12 - x
4( 12 - x) = 6( x + 3)
48 - 4x = 6x + 18
-4x - 6x = 18 - 48
- 10x = -30
x = 3
6 0
3 years ago
What is the answer to this question!?
vladimir2022 [97]
 In your equation m=1
5 0
3 years ago
A sound wave travels at 330m/s and has a wavelength of 2 m. calculate its frequency and period.
RoseWind [281]

Answer:

frequency= 165Hz

period= \frac{1}{165}

Step-by-step explanation:

1. To calculate the frequency using the formula:

f = v/λ

where,

f=frequency (what the question asked)

v=speed of wave (given in the question=330m/s)

λ=wavelength (given in the question=2m)

SO,

f=\frac{330}{2}

= 165Hz

2. To calculate the period use the formula:

since f=\frac{1}{T}

therefore, T=\frac{1}{f}

where,

f= frequency (what we solved above=165Hz)

T= period (what the question asked)

SO,

T=\frac{1}{165}

4 0
2 years ago
Write equation for the line in slope intercept form (6,4) and (3,8)
nikdorinn [45]

Answer: y = - 4x/3 + 12

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = y intercept

m represents the slope of the line.

m = (y2 - y1)/(x2 - x1)

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (6, 4) and (3, 8),

y2 = 8

y1 = 4

x2 = 3

x1 = 6

Slope,m = (8 - 4)/(3 - 6) = 4/- 3 = - 4/3

To determine the y intercept, we would substitute x = 3, y = 8 and m= - 4/3 into y = mx + c. It becomes

8 = - 4/3 × 3 + c

8 = - 4 + c

c = 8 + 4

c = 12

The equation becomes

y = - 4x/3 + 12

5 0
3 years ago
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