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4 years ago

The median for the given set of six ordered data values is 29.5

Mathematics

1 answer:

Nastasia [14]4 years ago

7 0

Answer: 34

<u>Step-by-step explanation:</u>

The median is the middle term in the set. If there are an even number of terms in the set, then the median is the average of the two middle terms.

{9, 12, 25, ?, 41, 48}

{X, 12, 25, ?, 41, X}

{X, X, 25, ?, X, X}

The median is the average of 25 and ?, which is 29.5

$\dfrac{25+?}{2}=29.5\\\\25+?=59\quad \text{multiplied both sides by 2}\\.\quad ?=34\quad \text{subtracted 25 from both sides}$

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A paint-store chain produces and sells latex and semigloss paint. Based on long-range sales, the probability that a customer wil

Flauer [41]

Answer:

The probability that the paint latex = 0.857

Step-by-step explanation:

From the given information:

Let consider X to be the event that the customer has purchased the latex paint

Let consider Y to be the event that the customer has purchased semigloss paint.

Now, the probability of X i.e. P(X) = 0.75

SInce X and Y are mutually exhaustive)

P(Y) = 1 - P(X)

P(Y) = 1 - 0.75

P(Y) = 0.25

Similarly, Let Consider Z be the event that the customer has purchased a roller.

We are being told that P(Z|X) = 0.6

P(Z|Y) = 0.30

$P(X|Z) = \dfrac{P(Z|X)(P(X) }{P(Z|X)*P(X)+P(Z|Y)*P(Y)}$

$P(X|Z) = \dfrac{0.6 \times 0.75 }{(0.6 \times 0.75) +(0.3 \times 0.25)}$

$P(X|Z) = \dfrac{0.45 }{(0.45) +(0.075)}$

$P(X|Z) = \dfrac{0.45 }{0.525}$

$P(X|Z) = 0.857$

Thus, the probability that the paint latex = 0.857

4 0

3 years ago

In how many ways can 4 blue flags 3 green flags and 2 flags be arranged

DaniilM [7]

Assuming all of the same coloured flags are in<span>distinguishable,</span>

$\text {Number of ways } = \dfrac{9!}{4!3!2!} = 1260$

--------------------------------
Answer: 1260 ways
--------------------------------

3 0

3 years ago

Holly wants to add an odd number to 659. Which number could possibly be the sum? Choose all answers that are correct. A. 677 B.

noname [10]

It is B and C because if you add an odd number to another odd number it becomes even.

3 0

4 years ago

Find the equation of the line with slope m=1/4 that contains the point (4,5).

sladkih [1.3K]

Answer: x - 4y = -16

Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.

The given point, (4, 5), represents (x₁, y₁).

So if we plug all our given information into the formula,

including our slope of 1/4, we get y - 5 = 1/4(x - 4).

To put our equation in standard form, first, distribute

the 1/4 through the parentheses.

So we get y - 5 = 1/4x - 1.

Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.

That gives us 4y - 20 = x - 4.

Now moves the -20 to the right side by adding 20 to both sides.

So we get 4y = x + 16.

Now subtract x from both sides to get -x + 4y = 16.

Finally, our coefficient on our x term must be positive so we

divide both sides by -1 to get x - 4y = -16.

7 0

3 years ago

If f(x)=2(x)^2+5\sqrt((x+2)), complete the following statement <br> f(0)=

DENIUS [597]

Answer: 5

<u>Step-by-step explanation:</u>

$f(x)=2(x)^2+5\\\\f(0)=2(0)^2+5\\\\.\qquad =0+5\\\\.\qquad =5$

3 0

3 years ago