What is the mean of the following numbers? 11,3,5,13

The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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Answer:

i think 7 but i am not 100% sure

Step-by-step explanation:

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Answer: 0.655

Step-by-step explanation:

Let X be a random variable that represents percent of fat calories that a person in America consumes each day.

As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).

Sample size : n= 16

The probability that the average percent of fat calories consumed is more than 35:

\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)

Hence, Required probability =0.655

Apply the fraction rule:

\(\text{a}\times\dfrac{\text{b}}{\text{c}} =\dfrac{\text{a}\times\text{b}}{\text{c}}\)

Answer:

\(\longrightarrow\boxed{\bold{\frac{\text{fx}}{\text{g}}}}\)

Answer:

286

I hope this answer helps you with your algebra

Answer:

334

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

1 Simplify 10-910−9 to 11.

1+8-7+{(6-(5+4)\div 3)}^{2}-1

1+8−7+(6−(5+4)÷3)

2

−1

2 Simplify 5+45+4 to 99.

1+8-7+{(6-9\div 3)}^{2}-1

1+8−7+(6−9÷3)

2

−1

3 Simplify 9\div 39÷3 to 33.

1+8-7+{(6-3)}^{2}-1

1+8−7+(6−3)

2

−1

4 Simplify 6-36−3 to 33.

1+8-7+{3}^{2}-1

1+8−7+3

2

−1

5 Simplify {3}^{2}3

2

to 99.

1+8-7+9-1

1+8−7+9−1

6 Simplify 1+81+8 to 99.

9-7+9-1

9−7+9−1

7 Simplify 9-79−7 to 22.

2+9-1

2+9−1

8 Simplify 2+92+9 to 1111.

11-1

11−1

9 Simplify.

10

Answer:

The solution of the equation f(x) = g(x) is the set of all x for which the graphs of f and g intersect. The solution of the inequality f(x) < g(x) is the set of all x for which the graph of f lies below the graph of g.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

;)

The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.

At Mega Mart, a 5kg cake costs $2500.

Therefore, the price per kilogram for this cake is:

Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.

At the same time, a 2kg chocolate cake costs $1200.

So, the price per kilogram for this cake is:

Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.

Now, let's calculate the total price for 10kg of cake from each option:

Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.

Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.

Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.

Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.

Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.

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Answer:12 cups of sugar are needed in the recipe

Step-by-step explanation:

6 ¼ + 5 ¾ =11 4/4=12

The total amount of sugar needed for the cake recipe is 12 cups.

Given that, A cake recipe called for using 6¼ cups of sugar before baking and another 5¾ cups after baking.

To add fractions there are three simple steps:

Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible)

Now, the total amount of sugar needed

6¼ + 5¾

= 25/4 + 23/4

= (25+23)/4

= 48/4

= 12

Hence, the total amount of sugar needed for the cake recipe is 12 cups.

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Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Given Information:

Mean of retirement accounts = μ = $490,000

Standard deviation of retirement accounts = σ =  $55,000

Sample size = n = 80

Answer:

$484,835 is the amount that separates the lowest 20% of the means of retirement accounts from the highest 80% of the means of retirement accounts.

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

The amount of money that separates the lowest 20% of the means of retirement accounts from the highest 80% is given by

\($ P( \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n} } }) = 0.20\)

The z-score corresponding to 0.20 is -0.84

\(\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n} } } = z \\\\\bar{x} - \mu = z \cdot\frac{\sigma}{\sqrt{n} } \\\\\bar{x} = \mu + z \cdot\frac{\sigma}{\sqrt{n} } \\\\\bar{x} = 490,000 - 0.84 \cdot\frac{55,000}{\sqrt{80} } \\\\\bar{x} = 490,000 - 0.84(6149.186)\\\\\bar{x} = 490,000 - 5,165.32\\\\\bar{x} = 484,834.68\\\)

Rounding off to the nearest whole number

\(\bar{x} = \$ 484,835\\\)

Therefore, $484,835 is the amount that separates the lowest 20% of the means of retirement accounts from the highest 80% of the means of retirement accounts.

How to use z-table?

In the z-table find the probability of 0.20

Note down the value of that row, it would be -0.8.

Note down the value of that column, it would be 0.04.

So the z-score is -0.84

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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Answer:

(-1/2, 27/2)

Step-by-step explanation:

Midpoint formula: (x^1 +x^2/ 2, y^1 +y^2/ 2)

(-4 +3 /2, 12+15/ 2) -> (-1/2, 27/2)

Answer:

Set your calculator to Degree mode.

55^2 = 90^2 + 50^2 - 2(90)(50)cos(C)

3,025 = 10,600 - 9,000cos(C)

-7,575 = -9,000cos(C)

cos(C) = 101/120

C = cos^-1 (101/120) = 32.7°

Step-by-step explanation:

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The relation that is also a function is described as follows:

A nonlinear function on a coordinate plane vertex at (minus 3, minus 2) passes through (minus 7, 0), and (minus 6, minus 4).

A relation is a function if each value of the input is mapped to only one value of the output.

In this problem, we have that:

Hence a function is given by:

A nonlinear function on a coordinate plane vertex at (minus 3, minus 2) passes through (minus 7, 0), and (minus 6, minus 4).

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The measure of segment HI is given as follows:

HI = 7.

The measure of segment HI for this problem are obtained considering the triangle midsegment theorem, which states that the length of the midsegment of the triangle is equals to half the length of the base, hence the base has the length that is twice the midsegment.

The lengths are given as follows:

Hence the value of x is obtained as follows:

EF = 2HI

-21 + 5x = 2(-9x + 70)

-21 + 5x = -18x + 140

23x = 161

x = 7.

Hence the length HI is given as follows:

HI = -9(7) + 70

HI = 7.

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Answer:

The answer is -20. count how many times -8 adds up to -11. Brainlest would be much appreciated!

Step-by-step explanation:

#1 . the minimum height =

443 - 394 = 49 ft

#2. y = (394/2) + 49 = 197+49

=> y =246

#3. the amplitude is ½× diameter

= ½×394 = 197 ft

#4. the period of function is

the time that the wheel takes

one rotation =>30 minutes

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer:

the (D) option is coorect

Step-by-step explanation:

as in -8-(-15)

》-8+15

》7

Answer:

Step-by-step explanation:

1) acute 2) obtuse 3) right 4)acute

Answer:

C.

Step-by-step explanation:

The response variable can be defined as those variables that are considered to be the focus of a question in research or experiment. It is also known as a dependent variable and is marked on the y-axis. The response variable is explained with the help of an explanatory variable, marked on the x-axis. The other names for response variables are y-variables or outcome variables.

In the given case, the response variable is the grade received on each assignment. The grades received by students on each assignment are the main focus of this research.

Therefore, option C is correct.

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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After simplification we got the above expression in the form 3f + 16m -56

The word "simplify" implies to turn something in a simpler form.

In mathematics, simplify an expression means write an expression in such a way that is comparatively less complicated than before. The main purpose of simplify an expression is to make it easy to solve as well as calculation.

3f + 8(2m-7)

we rearrange the expression by removing the parenthesis.

we remove the parenthesis by multiplying the factors.

3f + 8 × 2m - 8 × 7

3f + 16m -56

the above expression has no like terms to add or subtract so it is kept in this form.

Hence, 3f + 16m -56 is the simpler form.

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