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4 years ago

Simplify the expression: 3/(7-i)

Mathematics

1 answer:

salantis [7]4 years ago

7 0

The answer is 0.5. 3/(7-1) 3/6=0.5

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You measure the lifetime of a random sample of 25 rats that are exposed to 10 Sv of radiation (the equivalent of 1000 REM), for

Slav-nsk [51]

Answer:

CI 95%(μ)= [13.506 ; 14.094]

Step-by-step explanation:

The confidence interval (CI) formula is:

CI (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 5% because 100-90%

Z(5%/2)= is the critical value of the standardized normal distribution. In this case is 1.96

σ= standard deviation. In this case 0.75 day

mean= 13.8 days

n= number of observations . In this case 25

Then, the confidence interval (90%) is:

CI 95%(μ)= 13.8+- [1.96*(0.75/sqrt(25)]

CI 95%(μ)= 13.8+- [1.96*(0.75/5) ]

CI 95%(μ)= 13.8+- (0.294)

CI 95%(μ)= [13.8-0.294 ; 13.8+0.294]

CI 95%(μ)= [13.506 ; 14.094]

4 0

3 years ago

What is triangle angle sum theorem

liubo4ka [24]

The triangle angle sum theorem states that the 3 angles within the triangle must have a sum that equals 180 degrees.

3 0

3 years ago

Are the graphs of the lines in the pair parallel? Explain. <br> y = 3/7x+ 11 –3x + 7y = 13

ankoles [38]

Remember that parallel lines have the same slope.

y=3/7x+11 (in slope intercept form already)

-3x+7y=13 (standard form)

Add 3x to both sides, giving you 7y=3x+13, divide by 7 on both sides, giving

y=3/7x+13/7

Since both equations' slopes' are the same, their graphs will be parallel.

7 0

3 years ago

Rectangle $ABCD$ is the base of pyramid $PABCD$. If $AB = 8$, $BC = 4$, $\overline{PA}\perp \overline{AD}$, $\overline{PA}\perp

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Since the base of the pyramid PABCD is a rectangle, the shape in question is a rectangular based pyramid. Volume of a rectangular based pyramid is expressed as V = 1/3 * Base Area * Height of the pyramid.

Given a rectangle ABCD with AB = 8 and BC = 4, the area of the rectangle will be equivalent to the base area of the pyramid.

Base Area = Length * Breadth

Base Area = AB * BC

Base Area = 8*4 = 32

If $\overline{PA}\perp \overline{AD}\ and \ \overline{PA}\perp \overline{AB}$ , and PB = 17, then the height of the pyramid is PB = 17.

Volume of the pyramid = 1/3 * 32 * 17

Volume of the pyramid = 1/3 * 544

Volume of the rectangular based pyramid = 181.33

8 0

4 years ago

What is -7q-5 (9q-6) -52q+30

Dovator [93]

Hope This helps you..!!

6 0

3 years ago