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Inessa [10]
3 years ago
9

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

You might be interested in
If p varies directly with T and p =105 when T=400.Find p when T =500
kumpel [21]

Answer:

<h3>p = 131.25</h3>

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

<h3>k =  \frac{21}{80}</h3>

So the formula for the variation is

<h2>p =  \frac{21}{80} T</h2>

when

T = 500

Substitute it into the above formula

That's

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

Simplify

The final answer is

<h3>p = 131.25</h3>

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

Read more about products at:

brainly.com/question/10873737

3 0
2 years ago
Which equation would help find the measure of
Juliette [100K]

Answer:

x + 52 + 78 = 180

Step-by-step explanation:

By angle sum property of a triangle:

x + 52 + 78 = 180

5 0
3 years ago
Read 2 more answers
51 degrees 44 degrees 31 degrees 42 degrees 52 degrees 39 degrees and 55 degrees what are the average median and mode of these t
yarga [219]
Median = 44 mode= none
6 0
3 years ago
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