Plz help find area and perimeter

A list of measurements in increasing order is 4, 5, 6, 8, 10, and x. If the median of these measurements is 6/7 times their arit

igomit [66]

Answer:

The value of x would be 16.

Step-by-step explanation:

In a data,

Median : middle value of the data when the data is written is ascending order.

While,

$\text{Average}=\frac{\text{Sum of all observations}}{\text{Number of the observations}}$

Here, the given data is,

4, 5, 6, 8, 10, and x

So, median = = = 7.

Number of the observations = 6,

Sum of the observations = 4+ 5+6+8+10+x = 33 + x

Thus,

Average = $\frac{33+x}{6}$

According to the question,

$\frac{33+x}{7}=7$

$33+x=49$

$x=49-33$

$x=16$

Therefore, the value of x would be 16.

3 0

3 years ago

. Find the area of a square with a side of 2v3.

Vlad1618 [11]

Answer:

$area = 2 \sqrt{3} \times 2 \sqrt{3} \\ = 4( { \sqrt{3} })^{2} \\ = 4 \times 3 \\ = 12 \: {units}^{2}$

6 0

3 years ago

Which expression represents the ratio of the difference of the two means to Sidney's mean absolute deviation

prohojiy [21]

Answer:

The ratio of the difference of the two means to Sidney's mean absolute deviation = $\frac{4}{3.28}$ = 1.2195

Step-by-step explanation:

P.S - The exact question is -

Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.

Sidney’s Grades Phil’s Grades

Mean 82 78

Mean Absolute Deviation 3.28 3.96

To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Proof -

Given that Mean of Sidney Grades = 82

Mean of Phil's Grades = 78

So,

The difference of two means = 82 - 78 = 4

Also,

Given, Mean Absolute Deviation of Sydney = 3.28

Now,

The ratio of the difference of the two means to Sidney's mean absolute deviation = $\frac{4}{3.28}$ = 1.2195

4 0

3 years ago

10.5% of the population is 65 or older. Find the probability that the following number of persons selected at random from 25 peo

julia-pushkina [17]

Given:

The sample size n=25

Probability of population is 65 or older is 10.5%.

This date follows the binomial distribution,

$\begin{gathered} n=25,p=0.105 \\ X\rightarrow B(n=25,p=0.105) \end{gathered}$

To find the probability that at most 2 are 65 or older,

$\begin{gathered} P(X=x)=^nC_x(p)^x(1-p)^{n-x} \\ P(0\leq X\leq2)=P(X=0)+P(X=1)+P(X=2) \\ =^{25}C_0(0.105)^0(1-0.105)^{25-0}+^{25}C_1(0.105)^1(1-0.105)^{25-1}+^{25}C_2(0.105)^2(1-0.105)^{25-2} \\ =0.0625+0.1832+0.2579 \\ =0.5036 \\ \approx0.504 \end{gathered}$

Answer: Probability is 0.504 .

8 0

1 year ago

A sweater was on sale at 40% off the regular price. Ella saved 20$ by buying the sweater on sale. What was the regular price of

barxatty [35]

Answer:

the answer is $50 for the full price of the sweater

Step-by-step explanation:

if you know $20 is 40% what is 20% it is $10 and then multiple it by 5 because 20 times 5 is 100 and you get 50

8 0

3 years ago