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3 years ago

5 cakes cost £4 how much do 7 cakes cost

Mathematics

2 answers:

Shtirlitz [24]3 years ago

7 0

£5.60

divide £4 by 5 to obtain the cost of 1 cake then multiply this value by 7 for the cost of 7 cakes

5 → £4

7 → £4 × $\frac{7}{5}$ = £5.60

Nostrana [21]3 years ago

4 0

You can solve this using proportion.

5 = 4

7 = ?

7(4)/5= 5.6

7 cakes cost £5.6

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What is the approximate value of this logarithmic expression?

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The approximate value of $log_{8}24$ is 1.52832 or 1.53.

What is the logarithmic Expression?

A logarithmic expression is an function that involves the logarithm of an expression containing a variable. To solve exponential equations, first see whether you can write both sides of the equation as powers of the same number.

Here $log_{8}24$ = $log_{2^{3} }24$

= $\frac{1}{3} log_{2}24$

= $\frac{1}{3} log_{2}{8.3}$

= $\frac{1}{3} log_{2}8 + \frac{1}{3} log_{2}3$

= $\frac{1}{3} log_{2}2^3 + \frac{1}{3} log_{2}3$

= $\frac{3}{3} log_{2}2 +\frac{1}{3} log_{2}3$

= $1 + \frac{1}{3} log_{2}3$

= 1 + 0.5283

l $log_{8}24$ ≈ 1.53

The approximate value of $log_{8}24$ is 1.52832 or 1.53.

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2 years ago

A 12 ft ladder leans against a wall so that the base of the ladder is 5 ft from the wall How high, to the nearest foot, up on th

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Let X be from a geometric distribution with probability of success p. Given that P(X > y) = (1 ???? p)y for any positive inte

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Full Question

Let X be from a geometric distribution with probability of success p.

Given that P ( X > a + b | X > a ) = q ^ { b } = P ( X > b ) for any positive integer x.

Show that for positive integers a and b, P(X > a + b | X > a) = P(X > b).

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P(X > a + b | X > a) = P(X > b)

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Step-by-step explanation:

Given

P ( X > a + b | X > a ) = q ^ { b } = P ( X > b )

From the above.

We can derive the following

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P(X > a + b) = q^(a + b)

Using the definition of conditional probability

P(X > a + b | X > a) can be represented by P(X > a + b and X > a)/ P(X>a)

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Bringing both sides together, we're left with

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By substituton

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Step-by-step explanation:

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