ñ
What is the value of x?
(3x)
(x + 40)
020
W
0 35
O 60
70

The mean will be increased by 2, and the standard deviation will remain the same (option D).

The first step is to determine the initial mean and standard deviation of the data.

Mean is the average of a set of numbers.

Mean = sum of numbers / total number in the data

(2 + 3 +3 + 5 + 5 + 6) / 6

24 / 6 = 4

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

Standard deviation of the initial data = √[{(2 - 4)² + (3 -4)² + (3 - 4)² + (5 - 4)² + (5 - 4)² + (6 - 4)²} / 6] = 1.414

Now, determine the mean and the standard deviation of the new data

New data : (2 + 2 =4)

3 + 2 = 5

3 + 2 = 5

5 + 2 = 7

5 + 2 = 7

6 + 2 = 8

Mean = (4 + 5 + 5 + 7 + 7 + 8) / 6 = 6

Standard deviation = √[{(4 - 6)² + (5 - 6)²+ (5 - 6)² + (7 - 6)² + (7 - 6)² + (8 - 6)²} / 6] = 1.41

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Answer:

49.5 $

Step-by-step explanation:

Comencemos por lo siguiente:

Si llamamos  x al precio del  par de zapatos  y  "y"  al precio de cada pantalón, entonces la tienda ofrece:

un par de zapatos   x    más dos pantalones   2*y  en  70.000 $  (deben ser 70 $ pero esa cifra no importa a los fines de resolver el problema, habrá solo que hacer el ajuste correspondiente, en lo que aqui respecta hablaremos de 70 $)

Entonces  de acuerdo a lo expuesto

x  +  2y  =  70         or    y  =  ( 70 - x) /2      (1)

Esa es la condición inicial.

Ahora bién  Juan paga por tres pantalones  38.25 $

Eso quiere decir ( como los pantalones son iguales) que pago 38.25/3 por cada pantalón

38.25/3  =  12.75 $

Ahora bién ese precio tubo una rebaja del precio original del 15 % ( quiere decir que el precio original de cada pantalón es de

12.75/0.85  =  15 $            x =  15 $

Entonces si nos vamos a la ecuación (1) (alli los precios son originales) tenemos que

y  =  ( 70  - x ) / 2       y  =  ( 70 - 15 ) / 2    y  = 55/2     y  =  27.5 $

Ahora Juan paga por dos pares de zapatos donde según las ofertas de la tienda el debera tener un descuento del 10 % en cada par

Por lo que si  un par cuesta  27.5 $  le darán un descuento del 10% es decir pagará  27.5 *0.9 =   24.75  por cada par, como son dos pares

pagará 2 * 24.75  =   49.5 $

The average cost per day for the four service is $3.23 per day

Average cost refers to the per-unit cost of production, which is calculated by dividing the total cost of production by the total number of units produced.

Therefore average cost = total cost/ number of unit

total cost = $108

average cost for the three services = $108/3

= $36

total average cost = $36+$54.30

= $90.30

therefore average cost for a day will be average cost for a month over 28day i.e 7days ×4

= 90.30/28

= $3.23 per day

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If PQRS are points on a circle with the centre O, PS is a diameter of the circle Angle PQR=136, the measure of angle RPS is 88 degrees.

Since QR is parallel to PS, we can use alternate interior angles to determine that angle QPS is equal to angle PQR. This means that angle QPS is also 136 degrees.

Angle PQR and angle QPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

We can use this fact to find the measure of angle RPS. First, we know that the sum of angles in a quadrilateral is 360 degrees. Therefore, we can find the measure of angle PSR as follows:

Angle PSR = 360 degrees - Angle PQR - Angle QPS

Angle PSR = 360 degrees - 136 degrees - 136 degrees

Angle PSR = 88 degrees

Next, we use the fact that angles at the circumference of a circle subtended by the same arc are equal. Angle PSR and angle RPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

Angle RPS = Angle PSR = 88 degrees

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Complete question is:

PQRS are points on a circle with the centre O PS is a diameter of the circle Angle PQR=136 Work out the size of angle RPS

Answer:

0.72 is the original number

Answer:

How to calculate the amount of sales tax?

    Convert tax percentage into a decimal by moving the decimal point two spaces to the left.

    Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.

    Add the sales tax value to the pre-tax value to calculate the total cost.

Step-by-step explanation:

The equation is  180x+ 100

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used when you do not know the exact number in a calculation.

Given:

cost of tuition = $180

each student pay = $100

let the number times of credit be x hours.

Son the equation is 180x+ 100

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Given the expression:

The expression shows the distribution property of addition

So, 6 ( 3 +4 ) = 6 * 7 = 42

Which will give the same result if we distribute 6 over 3 and 4

So, 6 (3) + 6(4) = 18 + 24 =42

Show the following diagram:

As shown, the rectangle on the left side has 3 rows + 4 rows

Which will give us 7 rows when divided to 6 column will give 42 squares

While the rectangles on the right side. we have divided it to 3 rows and 4 rows, each one of them is divided to 6 column which will give us 18 squares and 24 squares the sum of them will give us 42 squares

So, 6 ( 3 + 4 ) = 6(3) + 6 (4)

Answer:

See below ~

Step-by-step explanation:

7

8

9

10

11

Answer:

-0.75p +0.15

Step-by-step explanation:

–3(0.15 – 0.2 + 0.25p)

-0.45 + 0.6 -0.75p

-0.75p - 0.15

It is not surprising that the sample proportion is always included in the confidence interval, as the sample proportion is considered as the estimate of the confidence interval.

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

The point estimate is the sample proportion for a confidence interval of proportions, hence it is not surprising that the sample proportion is always included in the confidence interval for population proportions.

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Step-by-step explanation:

\( \frac{15}{35} = \frac{g}{7} \)

\( \frac{3}{7} = \frac{g}{7} \)

\(g = 3\)

According to implicit differentiation, the depth of water varies at a rate of -0.0764 feet per minute.

The volume of a cone with radius r and height h may be calculated as follows:

V = (πr²h) ÷ 3

Using implicit differentiation, determine that it is the rate of change, as follows:

dV ÷ dt = ((2πrh ÷ 3) × (dr ÷ dt)) + ((πr² ÷ 3) × (dh ÷ dt))

In this case, the height is 12 feet and the radius is 10 feet, therefore h = 12 and r = 10

Because the radius does not change, dr ÷ dt = 0

Water seeps at an 8 cubic foot per minute pace, therefore dV ÷ dt = -8

Then:

dV ÷ dt = ((2πrh ÷ 3) × (dr ÷ dt)) + ((πr² ÷ 3) × (dh ÷ dt))

-8 = (π(10)² ÷ 3) × (dh ÷ dt)

dh ÷ dt = -24 ÷ 100π

dh ÷ dt = -0.0764

Water depth varies at a rate of -0.0764 feet per minute.

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The question is -

Consider a tank in the shape of an inverted right circular cone that is leaking water. The dimensions of the conical tank are a height of 12 ft and a radius of 10 ft. How fast does the depth of the water change when the water is 10 ft high if the cone leaks at a rate of 8 cubic feet per minute?

Answer:

50%

Step-by-step explanation:

so 1 half is colored in so 1/2 is also 50%

Answer:

it's 50% because it's half the circle

There are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

There are 12 different outfits that can be put together using 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

How to solve the problem:

To find out the number of different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes, we will simply multiply the number of options for each category together.

Number of options for pants = 3

Number of options for shirts = 2

Number of options for shoes = 2

Number of different outfits that can be put together

= 3 × 2 × 2

= 12

Therefore, there are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

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Answer:

-3.75

Step-by-step explanation:

The standard normal distribution has a mean of 0 and a standard deviation of 1. M ≈ 30.935. The median of the distribution is also 25.

(a) To find M, we first need to convert the given values of mean and standard deviation to the standard normal distribution. This can be done by using the formula Z = (X - μ) / σ, where Z is the Z-score, X is the value of interest, μ is the mean, and σ is the standard deviation. In this case, we have X ~ N(25, 9). Substituting the values into the formula, we get Z = (X - 25) / 3. Now we need to find the Z-score that corresponds to the desired probability of 0.95. Using a standard normal distribution table or a calculator, we find that the Z-score corresponding to a cumulative probability of 0.95 is approximately 1.645. Setting Z equal to 1.645, we can solve for X: (X - 25) / 3 = 1.645. Solving for X, we get X ≈ 30.935. Therefore, M ≈ 30.935.

(b) The median is the value that divides the distribution into two equal halves. In a normal distribution, the median is equal to the mean. In this case, the mean is given as 25. Therefore, the median of the distribution is also 25.

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Lake Jensen lost the least amount of water at 33.33% so option (A) will be correct.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

For example 1/2 part of any value will be (1/2)×100 %.

Given;

Lake Jensen lost

1/3 into percentage = (1/3)×100 = 33.33%

Lake Parlow lost = 34%

Lake Stockton lost;

147/300 into percentage = (147/300) × 100 = 49%

Hence it is clear among all three lakes Lake Jensen lost the least amount of water at 33.33%

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Answer:

B

Step-by-step explanation:

Took the quiz

Answer:

G > 16

Step-by-step explanation:

The expression "more than" 16 gold pieces per day means that the number of gold pieces Kwame earns each day (G) must be greater than 16. In order to represent that as an inequality, we should use the greater-than sign: >.

The inequality that describes the number of gold pieces Kwame must earn per day  is G > 16.

Answer:

Step-by-step explanation:

\(100x^2-20x+1=0\\\\(10x)^2-2\cdot10x\cdot1+1^2=0\\\\(10x-1)^2=0\\\\10x-1=0\\\\10x=1\\\\x=0.1\)

Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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The stem and leaf for the data values is

1 | 3 5 8

2 | 4 2

3 | 4 5 6

From the question, we have the following parameters that can be used in our computation:

Data values:

13, 15, 18, 24, 27, 34, 35, 36.

Sort in order of tens

So, we have

13, 15, 18, 24, 27, 34, 35, 36.

Next, we draw the stem and leaf as follows:

a | b

Where

a = stem

b = leave

number = a + b

Using the above as a guide, we have the following:

1 | 3 5 8

2 | 4 2

3 | 4 5 6

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(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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The one-sample Z test is used when we want to know whether our sample comes from a particular population. The name of the one-sample Z test tells us the general research design of studies in which this statistic is selected to test hypotheses.

For instance, we are doing research on data collected from successive cohorts of students taking the Elementary Statistics class. We may want to know if this particular sample of college students is similar to or different from college students in general. The one-sample Z test is used only for tests of the sample mean. Thus, our hypothesis tests whether the average of our sample (M) suggests that our students come from a population with a know mean (m) or whether it comes from a different population.

The statistical hypotheses for one-sample Z tests take one of the following forms, depending on whether your research hypothesis is directional or nondirectional. In the equations below m1 refers to the population from which the study sample was drawn; m is replaced by the actual value of the population mean.

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The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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Answer:

Cook Security Systems has a $37,500 line of credit, which charges an annual percentage rate of prime rate Cook Security Systems has a $37,500 line of credit, which charges an annual percentage rate of prime rate plus 4%. The starting balance on October 1 was $9,100.plus 4%. The starting balance on Octobe The annual percentage rate is prime plus 4% so APR = 6% +4% =10 % · Periodic rate = APR/ 12 months = 10/12 = 0.8333333 % · Average daily balance = Sum of the

Step-by-step explanation:

if it's Not right Here ill give u more!!!!

Answer:

-4.5

Step-by-step explanation:

\(6x+5.5=3x-8\\\)

\(6x-3x=-8-5.5\)

\(3x=-13.5\)

\(x=\frac{-13.5}{3}\)

\(x=-4.5\)

Answer:

84

Step-by-step explanation:

(92 + 96 + 88 + x) ÷ 4 = 90

92 + 96 + 88 + x/4 = 90

276 + x/4 = 90

(276 + x) × 4/4 = 90 × 4

276 + x = 360

x = 360 - 276

x = 84

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