(6 + x)5 -3
What is the expression?

Answer:

that is true

Step-by-step explanation:

hope this helps

If a new data point at 12 is added to the graph, The mean will increase more than the median, but both will increase.

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

Given a graph with the data points as,

1, 2, 2, 2, 3, 4, 4, 4, 5

Mean = (1 + 2 + 2 + 2 + 3 + 4 + 4 + 4 + 5) / 9 = 27 / 9 = 3

Median = 5th term = 3

When 12 is added, new data set has 10 data points.

1, 2, 2, 2, 3, 4, 4, 4, 5, 12

Mean = (1 + 2 + 2 + 2 + 3 + 4 + 4 + 4 + 5 + 12) / 10 = 3.9

Median = average of 5th and 6th term = (3 + 4) / 2 = 3.5

Hence the correct option is The mean will increase more than the median, but both will increase.

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The complete question is given below.

Answer:

\(3 \frac{7}{8}\)

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

A sample size of at least 271 is required.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1-0.9}{2} = 0.05\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).

So it is z with a pvalue of \(1-0.05 = 0.95\), so \(z = 1.645\)

Now, find the margin of error M as such

\(M = z*\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

Maxium error of 0.12.

How large of a sample is required to estimate the mean usage of electricity?

We need a sample size of at least n.

n is found when \(M = 0.12, \sigma = 1.2\)

So

\(M = z*\frac{\sigma}{\sqrt{n}}\)

\(0.12 = 1.645*\frac{1.2}{\sqrt{n}}\)

\(0.12\sqrt{n} = 1.645*1.2\)

\(\sqrt{n} = \frac{1.645*1.2}{0.12}\)

\((\sqrt{n})^{2} = (\frac{1.645*1.2}{0.12})^{2}\)

\(n = 270.6\)

Rounding up

A sample size of at least 271 is required.

Answer: 21

Step-by-step explanation:

Answer:

first blank is 90/100

second blank is 145/100

Step-by-step explanation:

While solving the quadratic equation, in the step 2, Priya did not correctly complete the square.

A quadratic equation is of the form of ax²+bx+c=0.

The given quadratic equation is of the form:

x²-6x-11=0

Now solving it by completing the square we get:

or, x²-6x=11  (take all the variable to one side)

or, x²-6x+9=11+9  (complete the square when b=3)

or, (x-3)²=20     (factor and square the polynomial)

or, x = 3 ± √20    (use inverse operations so that the variable is isolated)

Hence Priya made a mistake while completing the square of the equation.

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Answer:

x = 5/2

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

4x= 10

divide by 4

10/4 reduces to

5/2

The standard deviation of the sampling distribution is 0.06.  

Standard deviation is a statistical value used to determine the closeness of a statistical sample to the average of a data. The higher the standard deviation value, the wider the range of data variations.

Thus, the standard deviation can provide an overview of the gap between the sample values and the average. The standard deviation formula is used to analyze whether the sample can represent the population in the study. The standard deviation can also describe the quality of the sample data obtained.

Given that

Its 29% of American adults do not sit on public toilet seats.

Probability that American adults do not sit on public toilet seats, p=0.29

sample size, n = 51

\(Standard deviation = \frac{p(1 - p)}{n} \\ = \frac{0.29( 1 - 0.29)}{5.1} = 0.06\)

Therefore, the standard deviation of the sampling distribution is 0.06.  

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Answer: 10x + 14y

Step-by-step explanation: just simplify it

Answer:

10x+14y

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

For p(x<62) and p(x>68), we can use the z-score formula to calculate the probability.

p(x<62), the z-score formula is (62-64)/18 = -0.11.

p(x>68), the z-score formula is (68-64)/18 = 0.22.

The rest answer are mentioned below with calculation.

It is (X-μ)/σ, where X is the value we are evaluating, μ is the mean of the population, and σ is the standard deviation of the population.

For the first two questions, p(x<62) and p(x>68), we can use the z-score formula to calculate the probability. The z-score formula is (X-μ)/σ, where X is the value we are evaluating, μ is the mean of the population, and σ is the standard deviation of the population.

For the first question, p(x<62), the z-score formula is (62-64)/18 = -0.11. This means that the probability of x being less than 62 is 0.3767 (from the z-score table).

For the second question, p(x>68), the z-score formula is

(68-64)/18 = 0.22.

This means that the probability of x being greater than 68 is 0.5987 (from the z-score table).

For the third question, the probability that a randomly selected pregnancy lasts less than 260 days can be calculated using the z-score formula.

The z-score formula is (260-266)/16 = -0.375. This means that the probability of a randomly selected pregnancy lasting less than 260 days is 0.3296 (from the z-score table).

For the fourth question, the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days or less can be calculated using the Central Limit Theorem.

Since the sample size is 20, the standard deviation of the sample is

16/√(20) = 4.

The z-score formula is (260-266)/4 = -1.5.

This means that the probability of a random sample of 20 pregnancies having a mean gestation period of 260 days or less is 0.0668 (from the z-score table).

For the fifth question, the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less can be calculated using the Central Limit Theorem.

Since the sample size is 50, the standard deviation of the sample is

16/√(50) = 1.83

The z-score formula is (260-266)/1.8 = -3.3.

This means that the probability of a random sample of 50 pregnancies having a mean gestation period of 260 days or less is 0.0062 (from the z-score table).

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The maximum lower bound and minimum upper bound for the median number of points the basketball player scored over his last 21 games are:

Lower bound = 9.5

Upper bound = 30

In basketball, players can score 1, 2, 3 (or even 4 or 5 points) during a possession.

Players who score five points are fouled in the act of shooting a three-pointer and making the shot.

Players who score four points attempt a three-pointer and make the subsequent foul shot.

Players who score three points go beyond the 3-point line, in bounds.  

Players who score two points go inside the 3-point line, in bounds.

Players who score one point make free throws.

Basketball scores =  1, 2, 3, 4, 5 points

Median = 3 per possession

9.5   10  12.5   15   15.5   18.5   20  21.5  25    26   30    30

Thus, the maximum lower bound and minimum upper bound for the median number of points the basketball player scored over his last 21 games are 9.5 and 30.

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Relative Frequency of Scores

30 30 26 25 20 15 10 9.5 12.5 15.5 18.5 21.5

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

Answer:

5/17

Step-by-step explanation:

This is a question to calculate probability from odds. The formula is given as:

A formula for calculating probability from odds is P = Odds / (Odds + 1)

From the question , we are told that the odds of receiving a gift is

= 5:12

The probability of Jessica receiving a gift =

Probability = Odds / (Odds + 1)

P = 5/12 / ( 5/12 + 1)

P = (5/12)/ (17/12)

P = 5/12 × 12/17

= 5/17

Therefore, the probability of Jessica. receiving a gift is 5/17.

Answer:

A;  62.4 cm

Step-by-step explanation:

Answer:

84 text messages

Step-by-step explanation:

Set up a proportion and solve:

dollars / texts = dollars / texts

9.8 / 196 + 4.2 / x

9.8 * x = 4.2 * 196

9.8x = 823.2

9.8x / 9.8 = 823.2 / 9.8

x = 84

Brody would have sent 84 messages if he spent $4.20.

A ratio indicates the number of times one number contains another.

Given that, the cost of sending 196 text messages is $9.80.

Therefore,

$9.80 = 196 messages

$1 = 196/9.80 messages

$4.20 = (196/9.80)×4.20 messages

$4.20 = 84 messages

Hence, Brody would have sent 84 messages, if he spent $4.20.

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Answer:

a. R(t) = 2t - 500

b. D(t) = 400 + 10t

c. T(t) = 400 + 10t + 2t -500

Step-by-step explanation:

donations: $400; every person costs: $10; raffle ticket: $2; winner: $500

a. R(t) = 2t - 500

2t is the raffle tickets. t represents each person. -500 represents the money that the school loses for giving away the money to the winner.

b. D(t) = 400 + 10t

400 is the pre-donation that they had. 10t is the fee for entering the dinner per person. t represents each person.

c. T(t) represents all the money the school will gain (and lose) from the fundraiser. This stands to reason that T(t) is a combination of R(t) and D(t) since R(t) is the raffle and D(t) is the donations and dinner.

T(t) = 400 + 10t + 2t -500

Hope this helps!

Answer:

Step-by-step explanation:

The first two questions are answered here

Use the equation for exterior angle

Exterior angle  = sum of non-adjacent interior angles

Answer:

x = 26° degrees the work bellow is correct i double checked it :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can write an relationship for this as:

3

:

2

→

24

:

b

Where  

b

is the number of burgers sold without cheese.

We can rewrite the relationship as an equation and solve for  

b

:

3

2

=

24

b

2

3

=

b

24

24

×

2

3

=

24

×

b

24

48

3

=

24

×

b

24

16

=

b

b

=

16

The restaurant would of sold  

16

burgers without cheese with the information provided in the problem.

Answer:

depending on how much cheese you are trying to produce is the amount of milk you need

The point in Figure 2 that corresponds to point L in Figure 1 is the midpoint of line segment NP.

When two figures are congruent, it means that they have the same shape and size. This implies that corresponding points in the two figures have the same position and distance from each other.

In Figure 1, the points I, J, L, K, N, P, and Q are labeled. To find the point in Figure 2 that corresponds to point L, we need to look for a point that has the same relative position and distance as point L in Figure 1.

From Figure 1, we can see that point L is the midpoint of the line segment JK. Therefore, to find the corresponding point in Figure 2, we need to look for a point that is the midpoint of the line segment that corresponds to JK. In Figure 2, the line segment that corresponds to JK is NP, and the midpoint of NP corresponds to the point that is equivalent to point L. Therefore, the point that corresponds to point L in Figure 2 is the midpoint of line segment NP.

It is important to note that identifying corresponding points in congruent figures is a fundamental concept in geometry and is often used to solve problems involving congruence and similarity.

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Answer:

x = 27

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following:

(x + 8)/10 = (2x - 5)/14

Cross multiply

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

Collect like terms

14x - 20x = -112 - 50

-6x = -162

Divide both sides by -6

-6x/-6 = -162/-6

x = 27

Answer:

hsnsnzjzhjzzjj727272727nJsjshs

Answer:

A polynomial function f of least degree  = f = x³ - 7x² + 36

The function in standard form = f = x³ - 7x² + 36

Step-by-step explanation:

As given, Leading coefficient of polynomial function = 1

Also given, zeroes of the function = -2, 3, 6

for root -2 : (x - (-2)) = (x + 2)

for root 3 : ( x - 3)

for root 6 : (x - 6)

Therefore, the polynomial function becomes -

f = 1(x+2)(x-3)(x-6)

⇒f = (x+2)(x² - 6x - 3x + 18)

⇒f = (x+2)(x² - 9x + 18)

⇒f = x³ - 9x² + 18x + 2x² - 18x + 36

⇒f = x³ - 7x² + 36

The polynomial function in standard form is \(f(x) = x^3 - 8x^2 +9x +18\)

The zeros of the polynomial are given as:

\(Zeroes = -2,3,6\)

Rewrite as:

\(x= -2,3,6\)

Express the zeroes as an equation

\(x= -2\),  \(x =3\) and \(x =6\)

Equate to 0

\(x + 2 = 0\), \(x -3 = 0\) and \(x -6 = 0\)

Multiply the equations

\((x + 1) \times (x - 3) \times (x - 6) = 0 \times 0 \times 0\)

\((x + 1) \times (x - 3) \times (x - 6) = 0\)

Expand

\((x^2 - 3x + x - 3) \times (x - 6) = 0\)

\((x^2 - 2x - 3) \times (x - 6) = 0\)

Expand

\(x^3 - 2x^2 - 3x -6x^2 +12x +18 = 0\)

Collect like terms

\(x^3 - 2x^2 -6x^2 - 3x +12x +18 = 0\)

\(x^3 - 8x^2 +9x +18 = 0\)

Express as a function

\(f(x) = x^3 - 8x^2 +9x +18\)

Hence, the function in standard form is \(f(x) = x^3 - 8x^2 +9x +18\)

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Answer:

y = -2x - 10

Step-by-step explanation:

1. rearrange to find the gradient.

the gradient of the original equation is 1/2 hence why a line PERPENDICULAR to that equation would have a gradient of -2.

2. substitute into y - y1 = m (x - x1)

y - (-2) = -2 (x - (-4))

y = -2x - 10

Answer:

power of 3

Step-by-step explanation:

that formula of rectangular prism V=L×b×h when all of number are in meter will not convert if the number of cubic are not all meter must convet to be in meter by dividing by 10, 100 or 1000