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3 years ago

Six numbers have a mean of 4.5 and five of the numbers are 4,3,4,6,1.

Mathematics

1 answer:

Maksim231197 [3]3 years ago

8 0

Answer:

X = 9

Step-by-step explanation:

4 + 3 + 4 + 6 + 1 + x / 6 = 4.5

18 + x / 6 = 4.5

cross multiply

18 + x = 4.5 × 6

18 + x = 27

collect like terms

x = 27 - 18

x = 9

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If p varies directly with T and p =105 when T=400.Find p when T =500

kumpel [21]

Answer:

Step-by-step explanation:

The variation p varies directly with T is written as

p = kT

where k is the constant of proportionality

To find p when T =500 we must first find the formula for the variation

That's

when p = 105 and T = 400

105 = 400k

Divide both sides by 400

So the formula for the variation is

when

T = 500

Substitute it into the above formula

That's

$p = \frac{21}{80} \times 500$

Simplify

The final answer is

Hope this helps you

7 0

3 years ago

In the geometric progression 1, 2, 4… what term is 512?

Levart [38]

The next term is double the previous term, so that the $n$ -th term is given recursively by

$\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}$

This rule tells us that

$a_2=2a_1$

$a_3=2a_2=2^2a_1$

$a_4=2a_3=2^3a_1$

and so on, with the explicit rule

$a_n=2^{n-1}a_1=2^{n-1}$

for $n\ge1$ .

If 512 is the $k$ -th term in the sequence, then

$512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10$

8 0

3 years ago

cert 22.2 U To 3. Draw an area diagram to find (0.36) (0.53). Label and organize your work so that it can be followed by others.

Masteriza [31]

The result of the product of (0.36) and (0.53) is 0.1908

<h3>How to determine the product</h3>

The product expression is given as:

(0.36) * (0.53)

Rewrite the product as follows:

$(0.36) * (0.53) = (0.3 + 0.06) * (0.5 + 0.03)$

Expand the product

$(0.36) * (0.53) = 0.3 * (0.5 + 0.03)+ 0.06 * (0.5 + 0.03)$

Expand

$(0.36) * (0.53) = 0.15 + 0.009+ 0.03+ 0.0018$

Evaluate the sum

$(0.36) * (0.53) = 0.1908$

See attachment for the area diagram of the product