What is 1 2/3 - 2 1/3

Answer:

37

Step-by-step explanation:

Before we find quartile, we have to arrange the data set in order first from least to greatest which this problem has already arranged the data for us.

Next, proceed with the calculation. The formula for finding position of quartile is:

\(\displaystyle{Q_r = \dfrac{r(N+1)}{4}}\)

Where \(\displaystyle{Q_r}\) means the rth quartile, N means number of data set. Since we want to find the third quartile, substitute r = 3 and there are 11 data so substitute N = 11:

\(\displaystyle{Q_3 = \dfrac{3(11+1)}{4}}\\\\\displaystyle{Q_3 = \dfrac{3(12)}{4}}\\\\\displaystyle{Q_3 = 3\cdot 3}\\\\\displaystyle{Q_3 = 9}\)

So the position of third quartile is at 9th position which is 37.

Henceforth, the third quartile is 37.

Answer:

37.

Step-by-step explanation:

The data is in ascending order, which is what we need to get the answer.

As there are 11 numbers the 9th number is the upper(third)  quartile.

The median ( middle) number is 29 and the upper quartile is the middle number of the 5 numbers to the right of the median.

It is 37.

Answer:

  -1/2

Step-by-step explanation:

You want to know the exact value of sin(-5π/6).

The reference angle is the smallest angle its terminal side makes with the x-axis. The angle -5π/6 is a 3rd-quadrant angle, whose reference angle is ...

  -5π/6 +π = π/6

You know that the signs of the sine and cosine trig functions are negative in the 3rd quadrant. Since you have memorized the short table of trig functions (first attachment), you know the value you're looking for is ...

  sin(-5π/6) = -sin(π/6) = -1/2

__

Additional comment

The second attachment shows the functions that are positive in the different quadrants. The ones not listed are negative.

The third attachment shows the coordinates on the unit circle as (cos, sin). The angle 7π/6 is the same as the angle -5π/6.

The fourth attachment shows you can put your calculator in radian mode and have it tell you the answer.

Given:

Number  of Vegetarian Sandwich = 3

Number of Turkey Sandwich  = 7

Number  of  Pepperoni Pizza  = 8

Number  of  Cheese Pizza  = 10

To find:

The ratio which represents the number of orders for pepperoni pizza to cheese pizza.

Solution:

The ratio of number of orders for pepperoni pizza to cheese pizza is

\(\text{Ratio}=\dfrac{\text{Number of orders for pepperoni pizza}}{\text{number of orders for cheese pizza}}\)

\(\text{Ratio}=\dfrac{8}{10}\)

\(\text{Ratio}=\dfrac{4}{5}\)

Therefore, the required ratio is 4:5 and option A is correct.

Answer:

4:5 and option A is correct.

Step-by-step explanation:

edge2020

Answer:

We have the ration:

3:5:7

This means that, if they receive $15, then:

Person A will get $3

Person B will get $5

Person C will get $10

Let's then define the amount of money shared as:

Amount = K*$15

where we want to find the number K.

In this scenario, each they will get:

Person A : $3*K

Person B: $5*K

Person C: $7*K

Now, we know that one of them gets "10 more than the other"

(The problem here is that we do not know exactly who receives more than who, i will suppose that person B receives $10 more than person A)

then we can have:

$5*K = $10 + $3*K

solving this for K, we have:

$5*K - $3*K = $10

$2*K = $10

K = $10/$2 = 5

Then the amount shared, in this situation, is:

Amount = K*$15 = 5*$15 = $75.

Answer:

The cost price of each mango was $3

Step-by-step explanation:

The man bought 500 mangoes, but 1/4 of them were rotten. There were 1/4*500 = 125 rotten mangoes, thus the number of mangoes he sold is

500 - 125 = 375 mangoes

Selling them at $3.36 each, he had revenue of

375*3.36=$1,260

That amount includes the 12% profit, that is, it's 112% of the cost price, thus the cost price of all mangoes is

1,260 / 112 * 100 = $1,125

The price of each mango was $1,125 / 375 = $3

The cost price of each mango was $3

a) The probability that at least one of the two young adults selected is living in his or her parent’s home is; 0.74.

b) The probability both young adults selected are living on their own is; 0.26

We are given the events as;

M = the event a male young adult is living in his parent’ home

F = the event a female young adult is living in her parent’ home

We are also given that;

Probability that a male young adult is living in his parent’ home; P(M) = 0.56

Probability that a female young adult is living in her parent’ home; P(F) = 0.42

a) The probability that at least one of the two young adults selected is living in his or her parent’ home is;

P(at least one of the two young adults selected is living in his or her parents home) = P(M or F) = P(M) + P(F) - P(M and F)

= 0.56 + 0.42 - 0.24 = 0.74.

B) The probability both young adults selected are living on their own which means neither is living with their parents is;

P(neither living with parents) = 1 - P(M or F)

= 1 - 0.74 = 0.26.

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Answer:

c. $100,000

Step-by-step explanation:

Calculation of the expected net profit of Ephemeral services corporation

Since we are been told that 9 other companies besides esco are as well bidding for the $900,000 government contract, it means we have to find the expected net profit by dividing 1 by 9×$900,000 .Thus ESCO can only expect to cover its sunk cost.

Hence ,

E(X) = (1/9) × $900,000

E(X)=0.111111111×$900,000

E(X)= $100,000

Therefore the expected net profit would be $100,000

Answer:

i = 2

Step-by-step explanation:

-8(i - 6) = 32

-8i + 48 = 32

-8i = -16

i = 2

Answer:

\(y = x + 8\)

Step-by-step explanation:

\(x - y = - 8\)

\(x + 8 = y\)

The solution to the linear equation is 2

The linear equation is given as:

3x - 1 upon 5 = x - 1 upon 3

Rewrite properly as

(3x - 1)/5 = (x - 1)/3

Cross multiply

9x - 3 = 5x- 5

Evaluate the like terms

4x = 8

Divide by 4

x = 2

Hence, the solution to the linear equation is 2

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Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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Given:

The figure of a trapezoid.

Length of mid-segment = 5.5

Height of the trapezoid = \(6\sqrt{3}\)

To find:

The area of the trapezoid.

Solution:

The area of a trapezoid is:

\(A=M\times h\)       ...(i)

\(A=\dfrac{a+b}{2}\times h\)

Where, a,b are bases and h is the vertical height.

We know that \(M=\dfrac{a+b}{2}\) is the length of the mid-segment.

Putting M=5.5 and \(h=6\sqrt{3}\) in (i), we get

\(A=5.5\times 6\sqrt{3}\)

\(A=33\sqrt{3}\)

Therefore, the area of the trapezoid is \(33\sqrt{3}\) units squared.

Answer:

F(5) = 17, F(4) = -19

Step-by-step explanation:

F(5) = 4(5) - 3

F(5) = 20 - 3

F(5) = 17

F(4) = 4(-4) - 3

F(4) = -16 - 3

F(4) = -19

Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

Answer:

536 if adding the 320

Step-by-step explanation:

(3x 18) 4 +320= 536

(3x18)4 = 216

Answer:

$608

Step-by-step explanation:

Well first you have to see that there is 4 people going ari and his 3 brothers. Then I multiplied 4 people times 18 dollars a week. I got 72. After that I multiplied 72 dollars by 4 because of the 4 weeks they will be collecting money and I got 288. Lastly I added the 288$ to the 320 dollars they already saved and in total I got $608.

$608

HOPE THIS HELPS!!!

Answer:

About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Given that:

The mean μ = 310

The standard deviation σ =  40

Using the empirical rule to determine the following :

a. About 95 % of organs will be between what weights?

At 95% data values lies within 2 standard deviations of mean.

Thus, the  required range is :

= μ ± 2σ

= ( 310 - 2 (40) ,  310 + 2(40) )  

= (230, 390)

b. What percentage of organs weighs between 270 grams and 350 grams

Here:

μ ± σ = (310 - 40,  310 + 40)

μ ± σ = (270, 350)

Using empirical rule, 68% data values is in the range within 1 standard deviation of mean. This implies that 68% data values lie between (270, 350).

c. What percentage of organs weighs less than 270 grams or more than 350 grams?

The complement theorem can be use to estimate the  percentage of organs that weighs less than 270 grams or more than 350 grams,

This can be illustrated as :

= 100 % - 68 %

= 32 %

d. What percentage of organs weighs between 230 grams and 430 grams?

Using the empirical rule:

The percentage of organs weighs between 230 grams and 430 grams is:

u - 2σ  and  u + 3σ respectively.

3,5×  3 + 4 × 7 =3 8,5

46*4-42=143      46* 2- 4 2=  50

5,83+4*2=13,83 5,83+4*100=405,83

Answer:

mode is 10 as it is repeated more

Answer:

37.17 grams

Step-by-step explanation:

59% of 63 grams = 0.59 × 63 grams = 37.17 grams

No, the trapezoids are not similar because their corresponding angles do not have the same measures.

The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.

Let's examine the angles of the trapezoids:

In trapezoid ABCD:

Angle A = 137 degrees

Angle B = 90 degrees

Angle C = 90 degrees

Angle D = 43 degrees

In trapezoid EFGH:

Angle E = 136 degrees

Angle F = 90 degrees

Angle G = 90 degrees

Angle H = 44 degrees

By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.

However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.

Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.

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The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to the end = 70%

Required:

The distance Dominic has travelled on the path

The distance Dominic has travelled, D is 70% of 12.5 miles.

70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles

The distance Dominic has travelled on the path, D = 8.75 miles

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The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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The cross section can be of these shapes square and triangle are; A, D

A cross-segment is a plane segment that is a segment of a three-dimensional item that is parallel to one among its planes of symmetry or perpendicular to considered one of its traces of symmetry.

An instance of a go-segment would be a circle. A cross-section is seen whilst a 3-dimensional picture is reduce through a plane.

Then the case of the cone, a circular go-segment emerges while the cone is cut parallel with its base

The go-sectional region is the location of a 3-dimensional shape which is acquired whilst a three-dimensional object - inclusive of a cylinder - is sliced perpendicular to some designated axis at a point.

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Answer:

The probability would be 1/8.

Step-by-step explanation:

The probability of the spinner landing on an odd number is 1/2, and the probability of the spinner landing on a number greater than 8 is 1/4. So we multiply those two probabilites to get our answer 1/8.