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nalin [4]
3 years ago
15

I need help please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
vichka [17]3 years ago
4 0

112 m³

the solid is a rectangular pyramid with volume (V)

V = \frac{1}{3} × area of base × height = \frac{1}{3} × (8 × 4.2 ) × 10 = 112 m³



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We are asked to find the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34.

The probability of a data score between two z-scores is given by formula P(a.

Using above formula, we will get:

P(-1.32

Now we will use normal distribution table to find probability corresponding to both z-scores as:

P(-1.32

P(-1.32

Now we will convert 0.27351 into percentage as:

0.27351\times 100\%=27.351\%

Upon rounding to nearest tenth of percent, we will get:

27.351\%\approx 27.4\%

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If f ( x ) f(x) is an exponential function where f ( − 3.5 ) = 25 f(−3.5)=25 and f ( 6 ) = 33 f(6)=33, then find the value of f
gavmur [86]

Given:

f(x) is an exponential function.

f(-3.5)=25, f(6)=33

To find:

The value of f(6.5).

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Let the exponential function is

f(x)=ab^x         ...(i)

Where, a is the initial value and b is the growth factor.

We have, f(-3.5)=25. So, put x=-3.5 and f(x)=25 in (i).

25=ab^{-3.5}         ...(ii)

We have, f(6)=33. So, put x=6 and f(x)=33 in (i).

33=ab^{6}         ...(iii)

On dividing (iii) by (ii), we get

\dfrac{33}{25}=\dfrac{ab^{6}}{ab^{-3.5}}

1.32=b^{9.5}

(1.32)^{\frac{1}{9.5}}=b

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Putting a=27.63 and b=1.03 in (i), we get

f(x)=27.63(1.03)^x

Therefore, the required exponential function is f(x)=27.63(1.03)^x.

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