The following frequency distribution shows the number of magazine
subscriptions per household for a sample of 60 households. Find the mean
number of subscriptions per household.
Number of magazines 0 1 2 3 4 5 6
Frequency
13 9 19 8 5 2 4

Answer:

Step-by-step explanation:

If the order you select them is important

nmber of ways = 9! / (9-7)!

= (9*8*7*6*5*4*3*2*1) / (2*1)

= 9*8*7*6*5*4*3

= 181,440.

If the order does not matter:

nmber of ways = 9! / ((9-7)! * 7!)

= 9*8 / 2*1

= 36.

Answer: 105 students

explanation: set up a proportion. 70/100 =x/150. cross multiply. (70x150)/100=105

Answer:

5/288

Step-by-step explanation:

The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

Answer:

The first one

Step-by-step explanation:

Answer:

I think it is number 2 sorry if wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

I’m sorry but I could not find a pdf version of the Envision volume 2 book for 5th grade online. However, I found some websites that have answer keys and lesson plans for the book. You can check them out by searching for the following queries:

I hope this helps you with your homework.

Answer:

460+65=525/35=15 15 weeks

Answer:

(0.7044 ; 3.0956)

Step-by-step explanation:

Given:

GROUP A:

n1 = 25

x1 = 12.7

s1 = 2.2

GROUP B :

n2 = 25

x2 = 10.8

s2= 2.0

The obtain the confidence interval assuming unequal population variance :

(x1 - x2) ± tα/2[√(s1²/n1 + s2²/n2)]

The degree of freedom :

df = (s1²/n1 + s2²/n2)² ÷ (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1

The degree of freedom :

(2.2²/25 + 2²/25)² ÷ (2.2²/25)²/24 + (2²/25)²/24

df = 0.12503296 ÷ (0.0015617 + 0.0010666)

df = 47.57 ;

df = 48

Tcritical value ; α = 95% ; df = 48

Tcritical = 2.0106

C.I = (12.7 - 10.8) ± 2.0106[√(2.2²/25 + 2²/25)]

C.I = 1.9 ± (2.0106 * 0.5946427)

C.I = 1.9 ± 1.1955887

C. I = (0.7044 ; 3.0956)

The median is defined as the sum of all the values divided by the total number of data, then in this case:

To find the median we need to order the data:

The median is the number that divides all the data in half, since we have an even number of data we need to take the mean between the middle data, that is, the median is:

The mode is the number that repeats itself more on the data set, then in this case we the mode is 98.

The range is the difference between the lowest and highest data, then:

Summing up we have:

mean: 90.7

median: 89.5

mode: 98

Range: 16

Answer:

Example of commutative property of multiplication

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

divide whole equation by 4m

m^3 + 9m^2 + 24m+20

and then factor out (m+5)

4m(m+5)(m^2+4m+4)

end with 4m(m+5)(m+2)(m+2)

or 4m(m+5)(m+2)^2

or (m^2+5m)(2m+4)^2

The critical value t Subscript c is 2.492.

We have,

To find the critical value t Subscript c, we need to use a t-distribution table or calculator.

The critical value will depend on the confidence level and the degrees of freedom, which is n - 1 for a sample size of n.

For a confidence level of c = 0.98 and a sample size of n = 25.

The degrees of freedom df.

= n - 1

= 25 - 1

= 24

Using a t-distribution table or calculator, we can find the critical value t Subscript c that corresponds to a 98% confidence level and 24 degrees of freedom.

Thus,

The critical value t Subscript c is 2.492.

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1) given

2) base angles theorem

3) PN=QN

4) \(\angle 3=\angle 4\)

5) MP=OQ

7) PQ, QP

8) MQ=PO

9) ASA

Answer:

  30 inches

Step-by-step explanation:

Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.

For 3-inch letters, the banner length will be 30 inches.

Answer:

30 ft

Step-by-step explanation:

**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**

Create a ratio of letter height to length of phrase for the sketch and the banner.  Let x be the length of the banner.

NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.

Ratio:                      letter height : length of phrase

Sketch (in inches):                   2 : 20

Banner (in feet):                       3 : x

Equate the ratios and solve for x:

\(\sf \implies 2 : 20 = 3 : x\)

\(\sf \implies \dfrac{2}{20}=\dfrac{3}{x}\)

\(\sf \implies 2x=3 \cdot 20\)

\(\sf \implies 2x=60\)

\(\sf \implies x=\dfrac{60}{2}\)

\(\sf \implies x=30\)

Therefore the length of paper your should buy to make the banner is 30ft.

Answer:

Its B

stuff:

ITS BBBBBBBBBBBBBBBBBBBB

Answer:

B

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

Experimental probability refers to the likelihood of an event occurring based on actual experimental results. If a group of students in a communications course is required to start a blog on a topic of their choice, and many have already begun blogging, and the three categories are: pop culture, literature, and business.

The following details and explanation help to find the probability of the blog being about pop culture, which is a topic of the group's choice.There are three categories, including pop culture, literature, and business.

The next blog will be about pop culture. That is, there is one successful result, which is the number of blogs that have been written about pop culture so far.

There is a total of five blogs written on pop culture, literature, and business. Hence, the experimental probability of the next blog being about pop culture can be obtained as follows:The experimental probability formula is:P(event) = number of successful outcomes ÷ total number of possible outcomesTherefore, P(event) = 5 ÷ 10= 1/2= 0.5 (as a decimal)

Therefore, the experimental probability that the next blog started will be about pop culture is 0.5, which is the chance that the blog will be about pop culture based on actual experimental results. This means that there is a 50% chance that the next blog started will be about pop culture.

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Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols  >, <, ≤ or ≥. or indicate that the two expressions in an inequality are not always equal.

Given data:

in equality formed are:

x + y ≤ 60 number .....eq1

45x + 70y ≤ 3000 pounds ...eq 2

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Part c: inequality for number of boxes carried by the forklift.

From eq 1, x + y ≤ 60

Part d:  inequality for amount of weight carried by the forklift.

From eq 2;  x + y ≤ 60

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Answer:

-19/50

Step-by-step explanation:

Answer:

-19/50

Step-by-step explanation:

Answer:

Step-by-step explanation:

7>4n=6 or 7>4+n=6

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

 the income tax payable on a salary of Birr 5200 is Birr 320.

In Ethiopia, income tax is calculated based on a progressive tax system where the tax rate increases as the taxable income increases. The formula for calculating income tax on monthly salary is as follows:

Taxable income = Gross monthly salary - Deductions

Tax payable = Tax rate * (Taxable income - Tax threshold) - Allowances

Where:

1. Gross monthly salary: Total salary before any deductions.

2. Deductions: Includes mandatory deductions such as employee social security contributions, pension contributions, and other authorized deductions.

3. Taxable income: Gross monthly salary minus deductions.

4. Tax rate: The percentage of tax applicable to the taxable income based on the tax bracket.

5. Tax threshold: The minimum amount of taxable income before tax is applicable.

6. Allowances: Includes authorized tax deductions such as dependant's allowance and other authorized allowances.

To calculate the income tax on a salary of Birr 5200, we need to determine the taxable income first. Let's assume that the gross monthly salary is Birr 5200, and there are no deductions.

Taxable income = Birr 5200 - 0 = Birr 5200

Next, we need to determine the tax rate applicable to this taxable income based on the tax bracket. For the taxable income range of Birr 5251 to 7800, the tax rate is 10%. Therefore, the tax rate applicable to Birr 5200 is 10%.

Tax rate = 10%

Now, we need to determine the tax threshold and the allowances applicable to this taxable income. Let's assume that the tax threshold is Birr 2000, and there are no allowances.

Tax threshold = Birr 2000

Allowances = 0

Using the formula mentioned earlier, we can calculate the income tax payable as follows:

Tax payable = 10% * (Birr 5200 - Birr 2000) - 0

Tax payable = Birr 320

Therefore, the income tax payable on a salary of Birr 5200 is Birr 320.

To derive the formula to calculate income tax on Birr x, we can use the same formula mentioned earlier. We can express the formula in terms of x as follows:

Taxable income = x - Deductions

Tax payable = Tax rate * (Taxable income - Tax threshold) - Allowances

Where:

1. x: Gross monthly salary.

2. Deductions: Includes mandatory deductions such as employee social security contributions, pension contributions, and other authorized deductions.

3. Taxable income: Gross monthly salary minus deductions.

4. Tax rate: The percentage of tax applicable to the taxable income based on the tax bracket.

5. Tax threshold: The minimum amount of taxable income before tax is applicable.

6. Allowances: Includes authorized tax deductions such as dependant's allowance and other authorized allowances.

We can use this formula to calculate the income tax payable on any salary falling within the Birr 5251 to 7800 taxable income range.

In conclusion, income tax in Ethiopia is calculated based on a progressive tax system, where the tax rate increases as the taxable income increases. To calculate income tax on a salary of Birr 5200, we need to determine the taxable income, tax rate, tax threshold, and allowances applicable to that salary. We can use the same formula to calculate income tax on any salary within the Birr 5251 to 7800 taxable income range.

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The solution is: Proved that, when BD and AC bisects each other, then AB|| CD.

Here, we have,

AB is congruent to CD by CPCTC or Corresponding Parts of Congruent Triangles are Congruent.

Triangles ABE and CDE are congruent by SAS postulate.

Therefore, angle B and angle D are congruent.

Note that the segment BD is a transversal line that cuts AB and CD, and angle B and angle D are alternate interior angles.

with a reason of :

Parallel lines cut by a transversal form congruent alternate interior angles.

The answer is :

XY || WZ ⇒ AB || CD

Hence, Proved that, when BD and AC bisects each other, then AB\\ CD.

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complete question:

Given BD and AC bisects each other. prove AB\\ CD

Answer:

Inequality Form:

x≥130

Step-by-step explanation:

isolate the variable by dividing each side by factors that don’t contain the variable.

Answer:

2x - 12 = y

Step-by-step explanation:

→ Add y to both sides

2x = 12 + y

→ Minus 12 from both sides

2x - 12 = y

Answer:

Perpendicular

Step-by-step explanation:

If two lines meet and form right angles, then they are perpendicular.

Let the largest integer equal x, the 3rd number ( smallest-number) would be x - 2

The sum of the two would be:

X + 5(x-2) = -244

Simplify:

X + 5x -10

Combine like terms

6x -10 = -244

Add 10 to both sides:

6x = -234

Divide both sides by 6

X = -234/6

X = -39

The smallest number is x-2 = -39-2 = -41

The answer is -41

\(( \frac{2}{5} + \frac{2}{5} ) \times \frac{3}{10} \)

\( \frac{4}{5} \times \frac{3}{10} \)

\( \frac{6}{25} \)

Decimal Form:

\(0.24\)

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