Explain why 2x and 2 + x are not equivalent.

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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The probability of P(A|B) will be; P(A|B) = 2/5 = 0.4

From the Venn diagram attached, it displays sports played by 10 students.

Let event A = The students play basketball.

Let event B = The student plays soccer.

Then the probability of P(A|B) will be;

P(A|B) = P(A ∩ B)/P(B)

P(A|B) = (2/10)/(5/10)

P(A|B) = 0.40

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The true mean level of radon exposure in tombs in the region is

Upper limit: 4190.99;

Lower Limit: 2747.01

What is Assumed mean?

The assumed mean approach in statistics is used to determine the mean or arithmetic mean of a set of grouped data. This approach is advised over a direct method for determining the mean if the input data is huge. This technique aids in minimizing calculations and generates tiny numerical values. This approach relies on guessing the mean and rounding to a convenient result. Once more, this amount is deducted from each sample value. The calculations are carried out after selecting a central class and dividing the data into equal-sized ranges or class intervals.

Assumed Mean Formula:

Let f1, f2, f3,..., fn be the corresponding frequencies and x1, x2, x3,..., xn be the midpoints or class marks of n class intervals. The assumed mean method's formula is as follows:

\(\bar{x}=a+\frac{\sum f_i d_i}{\sum f_i}\)

In the given question:

\(\begin{aligned}&n=12 \\&\bar{x}=3469 \\&5=1135\end{aligned}\)

The 95% confidence interval for mean:

\(\begin{aligned}&\left(\bar{x} \pm t_{\alpha / 2, n-1} \frac{5}{\sqrt{n}}\right) \\\Rightarrow &\left(3469 \pm(2.2010) \frac{1135}{\sqrt{12}}\right) \\\Rightarrow &(3469 \pm(2.2010) 328.03) \\\Rightarrow &(3469 \pm 721.99) \\\Rightarrow &(2747.01,4190.99)\end{aligned}\)

The 95% confidence interval for mean:

Upper limit: 4190.99;

Lower Limit: 2747.01

Hence, for a given interval, we can conclude that the true mean lies beth 2747.01 & 4190.99. with 95% C.I.

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Answer:

2xm

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The analysis of variance may be described as an hypothesis test which is used to make comparison between variables of two or more independent groups. The null hypothesis is always of the notion that there is no difference in the means. While the alternative hypothesis is the opposite, for two independent groups, the alternative hypothesis is that both means are different, or not equal or not the same. However. When we have more than 2 independent groups, then the alternative hypothesis is stated as : 'the means are not all equal'. This means that the means of each group does not all have to be different, but the mean of one group may be different from that of the other groups or the mean of two groups are different from the other groups and so on.

Answer:

U need to copy and paste more of the question

Step-by-step explanation:

Start copy at the top go all the way to the bottem of the question and paste into brainly.

use ctrl c for copy and crtl v for paste

Answer:

7

Step-by-step explanation:

yeah-ya.. right?.......

Answer:

Step-by-step explanation:

Answer:

32 : 1

Step-by-step explanation:

dimensions of the parts of the ratio must be in the same units

convert 9 feet to inches

1 foot = 12 inches

then

9 feet = 9 × 12 = 108 inches

then ratio

9 feet : 3 \(\frac{3}{8}\) inches

= 108 inches : 3 \(\frac{3}{8}\) inches ( change mixed number to improper fraction )

= 108 : \(\frac{27}{8}\) ( multiply both parts by 8 to clear the fraction )

= 864 : 27 ( divide both parts by 27 )

= 32 : 1

Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

The product of 0.105 and 1000.2000 has three significant digits.

The answer is D. 3.

To determine the number of significant digits in the product of 0.105 and 1000.2000, we need to consider the rules for significant figures in multiplication.

In multiplication, the result should have the same number of significant digits as the measurement with the fewest significant digits. Let's analyze the given numbers:

0.105 has three significant digits (leading zeros are not significant).

1000.2000 has eight significant digits.

When multiplying these numbers, the product is 105.02100. The measurement with the fewest significant digits is 0.105 with three significant digits. Therefore, the product should also have three significant digits to maintain accuracy and precision.

Hence, the answer is D. 3. The product of 0.105 and 1000.2000 has three significant digits. It's important to consider significant figures in calculations to ensure the appropriate level of precision and avoid introducing misleading or inaccurate information.

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The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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Answer:

45

Explanation:

The number on the left of the line represent the tens and the numbers on the right of the line represent the units, so data for the stem and leaf plot is:

20, 22, 22, 22, 23, 23

30, 31, 33, 35

40, 42, 42, 43, 43, 43, 45

It means that the greatest number of hours is 45.

Then, the answer is 45.

Answer:

4 for $6.60 is better yo buy

Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

Answer:

Sum of all the angles of a triangle = 180° ( angle sum property).

Angle D + Angle E + Angle F = 180°

8x - 1 + 5x + 90° = 180°

8x + 5x + 89 = 180

13x = 180 - 89

13x = 91

x = 7.

Angle D = 8x - 1

= 8(7)-1

= 56 - 1

= 55

Angle E = 90° ( given)

Angle F = 5x

= 5 * 7

= 35

Answer:

m∠E: 90°

m∠D: 55°

m∠F: 35°

Step-by-step explanation:

Since the interior angles of a right triangle sum up to 180°, the sum of angles D, E, F will equal 180°. We can then form an equation from that information.

\(90+(8x-1)+5x=180\\13x-1=90\\13x=91\\x=7\)

From this, we can plug in the variable.

\(mE=90\\mD=55\\mF=35\)

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -15x² - 31x - 2

On simplifying , we get

The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition

So , on factorizing , we get

A = ( -15x - 1 ) ( x + 2 )

Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )

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The complete question is attached below :

Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)

a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x

Answer:

Equation: 120=66+2m

Step-by-step explanation:

120=66+2m

120-66=54

54/2=27

m=27

Answer:

0.6

Step-by-step explanation:

-4.5-5.1=0.6

Answer:

  14/5

Step-by-step explanation:

You want the scale factor that takes a 2.5 unit square to a 7 unit square.

The scale factor is the ratio of corresponding side lengths.

  (2.5)×(scale factor) = (7)

  (scale factor) = 7/2.5 = 14/5

The scale factor applied to A to produce B is 14/5.

Answer:

-------------------------

Apply the Triangle Inequality Theorem.

It states that:

We'll take the sum of two shortest sides and compare with the longest:

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).

Answer:

1\(\frac{4}{15}\) of straw

Step-by-step explanation:

The total amount of straw and hay together is, \(4 \frac{2}{3}\).

and the total amount of hay alone is, \(3\frac{2}{5}\)

All you need to do is subtract the hay from the total, which gives you, the answer above.

The inequality that represents the line in the figure will be y > - (2/3) x + 3.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

From the figure, the points of the line are (0, 3) and (3, 1). And the region above the line is a consideration. Then the equation of the line is given as,

(y - 3) > [(3 - 1) / (0 - 3)](x - 0)

Simplify the equation, then we have

(y - 3) > [(3 - 1) / (0 - 3)](x - 0)

(y - 3) > - (2/3)x

y > - (2/3) x + 3

The disparity that addresses the line in the figure will be y > - (2/3) x + 3.

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Check the picture below.

Answer:

ugiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiigygyu

Step-by-step explanation: