The solution of f (x) = -3 (2)^x and g(x) =x-14 is x = ____

In a normal distribution of data, 68% of the data fall within one standard deviations of the mean.

Normally distributed data is the distribution of probability which is symmetric about the mean.

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]

Here the mean of distribution of X is [tex]\mu[/tex]  and standard deviation from mean of distribution of X is [tex]\sigma[/tex].

Thus, in a normal distribution of data, 68% of the data fall within one standard deviations of the mean.

Learn more about the normally distributed data here;

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Answer:

Convenient Sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

She collects the data from the students in her class, which is the conveniently available pool, so convenient sampling is used.

Answer:

27

Step-by-step explanation:

try that it should work for their

The perimeter of the figure is 60

The side lengths are given as:

11, 22, and 27 meters

The perimeter of the triangle is the sum of its side length.

So, we have:

Perimeter = 11 + 22 + 27

Evaluate the sum

Perimeter = 60

Hence, the perimeter of the figure is 60

Read more about perimeter at:

https://brainly.com/question/24571594

Answer:

6/12 is equal to 3/6 ( 6 twelfths is equal to 3 sixths )

Step-by-step explanation:  

multiply both sides of 3/6 by 2 to get the same denominator, doing that will get you 6/12

Answer:

6 copies

Step-by-step explanation:

Step 1:  Convert 1 twelfth to an expression

1 twelfth is the same thing as 1/12

Step 2:  Convert 3 sixths to an expression

3 sixths is the same thing as 3/6

Step 3:  Get common denominators

The lowest common denominator between 1/12 and 3/6 is 12

[tex]\frac{1}{12}[/tex] → [tex]\frac{(1 * 1)}{(12 * 1)}[/tex] → [tex]\frac{1}{12}[/tex]

[tex]\frac{3}{6}[/tex] → [tex]\frac{(3 * 2)}{(6*2)}[/tex] → [tex]\frac{6}{12}[/tex]

Step 4:  Find the amount of 1/12 there are in 6/12

In order to find out the copies, we need to add 1/12 x amount of times to get 6/12.  We find that x is going to be 6.  Therefore, there 6 copies.

[tex]\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12} = \frac{6}{12}[/tex]

Answer:  6 copies

Answer:

t > 2.5

Step-by-step explanation:

Answer:

i don't know sorry b a b y g i r l

Step-by-step explanation:

Answer:

60 mph

Step-by-step explanation:

just did the question

Answer:

See below

Step-by-step explanation:

P(-4, 2)

Q(-3, 0)

Answer:

the answer is 38

Step-by-step explanation:

103 + 39 + 38= 180, the degree of a triangle

The answer is 4

steps listed above

Answer:

Distance traveled, initial speed, and final sped.

Step-by-step explanation:

Answer:

n = 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Question: 15n+24-4(n-3)+6-2n=105

Answer:  3 • (3n + 14)

Explanation:

STEP 1: Restate

Equation at the end of step 1

 (15n + 24) -  4 • (n - 3)) +  6) -  2n

STEP 2: Pulling out like terms

STEP 3: Pull out like factors :

9n + 42  =   3 • (3n + 14)

Final result :

 3 • (3n + 14)

Hope this helps~

Answer:

C 18/30+5/30

Step-by-step explanation:

Fractions scare me but I try

First we need to find the sum of 3/5 and 1/6

To do that we turn the denominators into common denominators.

[tex] \frac{18}{30} + \frac{5}{30} [/tex]

then we just add

[tex] \frac{18}{30} + \frac{5}{30} = \frac{23}{30} [/tex]

hope this makes sense

Answer:

5.2 would be the answer

Answer:

the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

Step-by-step explanation:

Given the data in the question;

x        f(x)         xp(x)               x²p(x)

1         1/3        0.33333        0.33333

2        1/3        0.66667        1.33333

3        1/3        1.00000        3.0000

∑                    2.0000          4.6667

∑(xp(x)) = 2

∑(x²p(x)) = 4.6667

Variance σ² = ∑(x²) - ∑(x)² = 4.6667 - (2)² = 4.6667 - 4 = 0.6667

standard deviation σ = √variance = √0.6667 = 0.8165

Now since, n = 33 which is greater than 30, we can use normal approximation

for normal distribution z score ( x-μ)/σ

mean μ = 2

standard deviation = 0.817

sample size n = 33

standard of error σₓ = σ/√n = 0.817/√33 = 0.1422

so probability will be;

p( 2.1  < X < 2.4 ) = p(( 2.1-2)/0.1422) <  x"-μ/σₓ  <  p(( 2.4-2)/0.1422)

= 0.70 < Z < 2.81    

=  1 - ( 0.703 < Z < 2.812 )

FROM Z-SC0RE TABLE

=  1 - ( 0.25804 + 0.49752 )

= 1 - 0.75556

p( 2.1  < X < 2.4 ) = 0.2444

Therefore,  the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

Answer:

5/6

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The 2nd polygon is 1.5 times larger.

12 x 1.5 = 18

18-6 = 12

12/4 = 3

x = 3

Answer:

The circumference of a circle is equal to Pi π times the diameter d

Step-by-step explanation:

Answer:

11 buses

Step-by-step explanation:

215 divided by 20 is 10.75 and rounding up makes more sense for this problem, so 11 buses would be needed to carry the entire 7th grade.

She pulled out 91.2 dollars

Answer:

500,000

Step-by-step explanation:

80-1

Answer:

81.12 sq m of fabric

Step-by-step explanation:

6.24*13=81.12

The mixture that is an equivalent ratio is:

1.5 white 2 blue is the answer to the question

Here are two paint mixtures: • 3 cups of white and 4 cups of blue. • 6 cups of white and 8 cups of blue. Both mixtures make the same color because they are in equivalent ratios. Which of these mixtures is also in an equivalent ratio? 5 cups white 6 blue 1 white 1 1/2 blue 4 white 3 blue 1.5 white 2 blue.

Answer:

mZA=50

mZB=28

mZC=90

value of x is 28 how i got it was 32-4.

Answer:

y=x+

-2/3

Step-by-step explanation:

y=x+

2

3

Step 1: Flip the equation.

x+

2

3

=y

Step 2: Add (-2)/3 to both sides.

x+

2

3

+

−2

3

=y+

−2

3

x=y+

−2

3

Answer: A

Step-by-step explanation:

X values to the right of the y axis are positive. X values to the left of the y axis are negative.

Y values above the x axis are positive.

Y values below the x axis are negative.

Pairs of coordinates are always noted as (x,y) with the x value of a point given first and the y value of that same point given second.

Answer:

Step-by-step explanation:

Let A=(a,b) then the reflected over the x-axis will be A'=(a,-b)

A=(5,5) --> A'=(5,-5)

B=(5,1) --> B'=(5,-1)

C=(2,1) --> C'=(2,-1)

D=(1,5) ---> D'=(1,-5)

Answer:

32[tex]\sqrt{2}[/tex]

Step-by-step explanation: Feel free to ask questions wanted to answer quick so you wouldn't end up being too late!