The data below shows the age distribution of cases
of a certain disease reported during the year at a
hospital
34 17 25 37 19 19 27 19 44 24
24 22 32 12 13 16 18 14 12 16
14 17 10 16
20 15 15 10 10
14 17 20 18 19 13 13 B 18 30
24 34 44 31 43 40 28 31 18 22
15 31 18 27 35 35 20 32 38 32.
22
Organising the data into a frequency distribution
lor table, calculate the coefficient of Skewness
and kur tosis and interpret your results

Answer:

15/8 pounds of soil or 1 7/8 pounds of soil

Step-by-step explanation:

5 pots * 3/8 pound per pot = 15/8 pounds of soil

Answer:

it would be 2

Step-by-step explanation:

what you do to find the probability is to divide so you divide 60 from 12 which automatically = 5 so then you divide 10 from 5 which gives you 2

The Correct Answer is 2 times

On spinning 60 times domain landed arrow 12 times.

On 1 time spinning, he will land an arrow   [tex]\frac{60}{12}[/tex]=5

∴ number of times arrow landed on green = [tex]\frac{10}{5}[/tex]=2

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.

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Answer:

Step-by-step explanation:

The total number of flowers that jasmine has to make bouquets is 84.

We need to note that she want to use all the flowers.

Now let us write down all factors of 84.

84= 1 * 84  ....(1)

   = 2 * 42 ....(2)

   = 3 * 28 ....(3)

   = 4 * 21  ....(4)

   = 6 * 14 .....(5)

   = 7 * 12  ....(6)

Now all we need is odd number of flowers in each bouquet,i.e,

All the numbers written in the right hand side of the above 1 to 6

numbered equations are factors of 84.

Since Jasmine wanted no flowers to be wasted so we can assume that number of flowers in each bouquet must be an odd factor of 84.

Therefore, odd factors of 84 are 1,3,7,21.

So Jasmine could have 84 bouquets with 1 flower in each,28 bouquets with 3 flower in each,12 bouquets with 7 flower in each or 4 bouquets with  21 flower in each.

Answer:

the answer is 7

Step-by-step explanation:

Answer:

the answer is  18m3n3

Step-by-step explanation:

Answer:

the answer is  18m3n3

Step-by-step explanation:  :)) good luck!!

Answer:8.44 miles per gallon

Step-by-step explanation:

1266/150=

8.44 miles per gallon

Answer:

$2704.80

Step-by-step explanation:

If she makes 12% commission off of it, she makes [tex]\frac{22540}{1} *\frac{12}{100}=$2704.80\\[/tex]

Final answer:

To calculate Amelia's commission, convert the 12% commission rate to a decimal (0.12) and multiply it by her sales of $22,540. Amelia will earn a commission of $2,704.80.

Explanation:

The question asks us to calculate how much commission Amelia makes on her sales of hand-crafted jewelry, given a commission rate of 12% and sales amounting to $22,540. To find the commission, we need to multiply the total sales by the commission rate expressed as a decimal.

Steps to Calculate Commission

Convert the commission rate from a percentage to a decimal by dividing by 100: 12% / 100 = 0.12.

Multiply the sales amount by the decimal commission rate: $22,540 × 0.12 = $2,704.80.

Amelia's commission for selling $22,540 worth of jewelry is $2,704.80.

Answer:

{(-3, 16),(0, 15),(3, 14)}

Step-by-step explanation:

It shows on a graph.

Answer:

80%

Step-by-step explanation:

To find percentage increase, we use the following formula:

Percentage Increase = [tex]\frac{New-Old}{Old}*100[/tex]

Here

New means the latest value (which is 18 dancers)

Old means the previous value (which is 10 dancers)

The Multiplication by 100 is to convert the decimal answer to percentage.

So, we have:

New = 18

Old = 10

Now we substitute and find:

[tex]\frac{New-Old}{Old}*100\\\frac{18-10}{10}*100\\\frac{8}{10}*100\\80[/tex]

So, there was an increase of 80%

Answer:

D

Step-by-step explanation:

he did not devide56 by 8

Answer:

D

Step-by-step explanation:

Jonas should have divided 56 by 8.

8x=56

8x/8 = 56/8

x = 7

Answer:

[tex](8x^{2} +5)(9x-7)[/tex]

Step-by-step explanation:

[tex]72x^{3}-56x^2+45x-35[/tex]

Out of 72x^3 and 56x^2 you can factor 8x^2

Out of 45x and -35 you can factor 5

So if you put those together you get 8x^2+5

8x^2*9x=72x^3 and 8x^2*-7= -56x^2

5*9x=45x and 5*-7= -35

Answer:

Yes she made an error. Explanation is below.

Step-by-step explanation:

Let the sample space for a six sided number cube be S

[tex]n(S) = \{1,2,3,4,5,6\}\\n(S) = 6[/tex]

Let the event of a number getting greater than two be B

[tex]n(B) = \{3,4,5,6\}\\n(B) = 4[/tex]

To find:

the probability of complement of B that is

p(~B) = ?

Solution"

First we need to solve probability for number getting greater than two

[tex]p(B) = \frac{n(B)}{n(S)}[/tex]

Now substituting the values we get

[tex]p(B) = \frac{4}{6}[/tex]

[tex]p(B) = \frac{2}{3}[/tex]

but we need complement of B so

[tex]p(\textrm{complement of B)} = 1 - p(B)\\p(\~B) = 1 - p(B)\\p(\~B) = 1 - \frac{2}{3}\\ =\frac{1}{3} \\[/tex]

P(complement of rolling a number greater than two) = [tex]\frac{1}{3}[/tex]

Answer:

3 ≤ y ≤ 5

Step-by-step explanation:

Rosalie is training for a marathon. She jogs for 30 minutes at a rate of 5 miles per hour, then she decreases her speed over a period of time and walks for 60 minutes at a rate of 3 miles per hour.

Therefore, the speed (y) of Rosalie ranges from 5 mph to 3 mph including the values.  

So, the range of this relation is 3 ≤ y ≤ 5. (Answer)

We can see here that the range of this relation is: D. 3 ≤ y ≤ 5

To determine the range of this relation, let's first calculate the distances Rosalie covers during each phase of her training:

Jogging phase:

Time = 30 minutes = 0.5 hours

Speed = 5 miles per hour

Distance = Speed × Time = 5 × 0.5 = 2.5 miles

Walking phase:

Time = 60 minutes = 1 hour

Speed = 3 miles per hour

Distance = Speed × Time = 3 × 1 = 3 miles

Now, let's consider the range of distances Rosalie covered during her training:

The minimum distance she covered is 2.5 miles (jogging phase), and the maximum distance is 2.5 + 3 = 5.5 miles (jogging + walking phases).

The given options are:

A. 0 ≤ y ≤ 5

B. y ≤ 5

C. y ≥ 0

D. 3 ≤ y ≤ 5

Since the minimum distance covered is 2.5 miles and the maximum distance covered is 5.5 miles, the correct option that represents the range of this relation is:

D. 3 ≤ y ≤ 5

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===========================================

Explanation:

Graph each inequality given on the same xy coordinate system. You should get what you see in the attached image below. The red shaded region represents all points that make every inequality mentioned to be a true statement. Points A, B, C are vertex points of the boundary region.

A = (2,6)

B = (5,3)

C = (2,3)

For each point A,B,C, plug in the (x,y) coordinates into the C(x,y) function given

------

For point A, (x,y) = (2,6) so x = 2 and y = 6

C(x,y) = (1/2)*x - y

C(2, 6) = (1/2)*2 - 6

C(2, 6) = -5 we'll use this value later

-----

Repeat for point B = (5,3)

C(x,y) = (1/2)*x - y

C(5,3) = (1/2)*5 - 3

C(5,3) = -0.5 we'll use this value later

----

Repeat for point C = (2,3)

C(x,y) = (1/2)*x - y

C(2,3) = (1/2)*2 - 3

C(2,3) = -2 we'll use this value later

-----

In the previous three sections above, we got the following outputs: -5, -0.5, -2

We see that -5 is the smallest and -0.5 is the largest

Therefore, -5 is the min and -0.5 is the max

The question is incomplete, here is the complete question:

The perimeter of a rectangle is twice the sum of its length and its width, the perimeter is 40 meters and the length is 2 meters more than twice its width. What is the length?

The length of the rectangle is 14 meters

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(L + W), where

Assume that the width of the rectangle is x meters

∵ The width of the rectangle = x meters

∵ Its length is 2 meters more  than twice its width

- Multiply x by 2 and then add to the product 2

∴ The length of the rectangle = 2 x + 2 meters

∵ The formula of the perimeter is P = 2(L + W)

- Substitute L by 2 x + 2 and W by x

∴ P = 2(2 x + 2 + x)

- Add like terms in the bracket

∴ P = 2(3 x + 2)

- Simplify the right hand side

∴ P = 6 x + 4

∵ The perimeter of the rectangle = 40 meters

- Equate P by 40

∴ 6 x + 4 = 40

- Subtract 4 from both sides

∴ 6 x = 36

- Divide both sides by 6

∴ x = 6

∴ The width of the rectangle is 6 meters

∵ The length = 2 x + 2

- Substitute x by 6

∴ The length = 2(6) + 2 = 12 + 2 = 14 meters

The length of the rectangle is 14 meters

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For the equation 3x + y = 15, when x is 2, y is 9; when x is 6, y is -3; when x is 0, y is 15; and when x is 3, y is 6.

To complete the table for the equation 3x + y = 15, substitute the given values of x into the equation to find the corresponding values of y:

1. For x = 2:

[tex]\[ 3(2) + y = 15 \implies 6 + y = 15 \implies y = 9 \][/tex]

2. For x = 6:

[tex]\[ 3(6) + y = 15 \implies 18 + y = 15 \implies y = -3 \][/tex]

3. For x = 0:

[tex]\[ 3(0) + y = 15 \implies 0 + y = 15 \implies y = 15 \][/tex]

4. For x = 3:

  [tex]\[ 3(3) + y = 15 \implies 9 + y = 15 \implies y = 6 \][/tex]

So, the completed table is:

x  2  9  6  0  3

y  9  3  -3  15  6

The missing values for y when x = 2 and x = 3 are 9 and 6, respectively.

The complete question is:

Complete the table with values for x or y that make this equation true: 3x+y=15

x     2     ___    6       0      3     ___     ___

y   ___     3    ___   ___   ___      0        8

Answer:

7. The numbers 14/81 are relatively prime

8. b=3

9. 0.00001

19. 11

Step-by-step explanation:

7. Relatively prime numbers have no common factors. We only have to factor each number and compare

14=2*7

35=5*7

38=2*19

81=9*9

91=7*13

The first two numbers have 7 in common

The second have 2 in common

The third set have no common factors

The fourth set have 7 in common

The numbers 14/81 are relatively prime

8. [tex]b^{-3}=\frac{1}{27} => b^3=27 => b=\sqrt[3]{27} =3[/tex]

9. [tex]10^{-5}=\frac{1}{100000}=0.00001[/tex]

10. 100,000,000,000=10*10*...10 as many times as zeroes there are, so

[tex]100,000,000,000=10^{11}[/tex]

Answer:

41) 7 packages

42) not sure

43) 11. 8.69/.79

44) 5. 14.50/2.90

45) 13.72. subtract

Answer:

41)7 packages

42)$10.00

43)$8.69

44)5 packages

Step-by-step explanation:

41) 14 packages =$40

÷2                     ÷2

___                  ___

  7                     20

42) 28 kuna :$5.00

      28x2=56 $5.00x2=10.00

43) 1p= $0.79

$8.69/.79=11

11p=$8.69

44) So, 44 is basically the same thing as 43, but different #s. if 1s=2.90, 14.50/2.90=5

Answer:

no

Step-by-step explanation:

because, 190% as a decimal is 1.9. So 1.9 times 20 is 38. Not 380.

Please mark me brainliest

When subtracting with a negative number anywhere in the expression you will do something called "Same-Add-Opposite."

This means that you will keep the first number in the expression (in this case that is -2) the same:

-2 - (-3)

Then turn the subtraction sign into an addition sign.

-2 + (-3)

Finally you will take the "opposite" sign of the second number (in this case you will take the opposite of -3). When I say "opposite sign" I mean that if this number is positive it will become negative. If it was negative it will become positive.

-2 + 3

Now you must solve. When adding a positive number with a negative number you will act as if you are subtracting the two numbers, then the answer will take the sign of the largest number (disregarding the signs).

In this case the largest number is 3 (disregarding the signs) and its sign is positive. Your answer will have a negative sign.

-2 + 3

1

-2 - (-3) = 1

Hope this helped!

~Just a girl in love with Shawn Mendes

Value of ring after four years with appreciation of 4 % each year is 4445.46

Given that  

Tom bought his fiancée Marie a 3800 diamond engagement ring

Marie discovers that the value of the ring appreciates 4% each year  

Need to determine value of ring after four years

Initial value of the ring = 3800

Appreciation of 4% in value means 4% increase

After 1 years , value increases by 4%  which means  

Value after 1 year = Initial value of the ring + 4% of Initial value of the ring

[tex]\begin{array}{l}{=3800+4 \% \text { of } 3800} \\\\ {=3800+\frac{4}{100} \times 3800=3952}\end{array}[/tex]

After 2 years, value increases  by 4% of Value after 1 year which means

Value after 2 years = Value after 1 year + 4% of Value after 1 year

[tex]\begin{array}{l}{=3952+4 \% \text { of } 3952} \\\\ {=3952+\frac{4}{100} \times 3952=4110.08}\end{array}[/tex]

After 3 years, value increases  by 4%  of  Value after 2 years which means  

Value after 3 years = Value after 2 years + 4% of Value after 2 years

[tex]\begin{array}{l}{=4110.08+4 \% \text { of } 410.08} \\\\ {=4110.08+\frac{4}{100} \times 4110.08=4274.4832}\end{array}[/tex]

After 4 years , value increases  by 4%  of  Value after 1 year which means  

Value after 4 years = Value after 3 years + 4% of Value after 3 years

[tex]\begin{array}{l}{=4274.4832+4 \% \text { of } 4274.4832} \\\\ {=4274.4832+\frac{4}{100} \times 4274.4832=4,445.46}\end{array}[/tex]

Value of ring after four years with appreciation of 4 % each year is 4445.46

To calculate the future value of a ring appreciating at 4% each year for 4 years, compound interest formula is used. The ring's value after 4 years is approximately $4,445.46.

The question refers to the calculation of the future value of an investment, which is a common problem in mathematics dealing with compound interest. Tom bought an engagement ring for $3,800, and its value appreciates at a rate of 4% each year. To find the value of the ring after 4 years, we use the formula for compound interest:

Future Value = Present Value x (1 + Rate of Interest)Number of Years

Step-By-Step Calculation

After applying the compound interest formula, the value of the ring after 4 years would be approximately $4,445.46.

x = 17

m∠JKL = 87°

m∠KJL = 58°

m∠KLJ = 35°

m∠KLM = 145°

Step-by-step explanation:

The exterior angle theorem says that the sum of two interior angles is equal to the exterior angle

In the given triangle, the interior angles are:

m∠K = (7x-32)°

m∠J = (5x-27)°

The interior angle is:

m∠L = (9x-8)°

So writing mathematically

m∠J+m∠K = m∠L

[tex]7x-32+5x-27 = 9x-8\\12x -59 = 9x - 8\\12x-9x = 59-8\\3x = 51[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3} =\frac{51}{3}\\x = 17[/tex]

Now m∠JKL

= [tex]7x-32\\=7(17) - 32\\=119-32\\=87[/tex]

m∠KJL

[tex]= 5x-27\\=5(17)-27\\=85-27\\=58[/tex]

m∠KLJ

[tex]=188-9x\\=188-153\\=35[/tex]

m∠KLM

[tex]=9x-8\\=9(17) -8\\=153-8\\=145[/tex]

Hence,

x = 17

m∠JKL = 87°

m∠KJL = 58°

m∠KLJ = 35°

m∠KLM = 145°

Keywords: Angles, Triangle

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Answer:

X=5

y=2

Step-by-step explanation:

x+4y=13

5+4(2)=13

x-y=3

5-2=3

X=5

Y=2

X+4Y=13

X+Y=13/4=3

X(5)+4Y(*2)=13

Answer:

[tex]p=\frac{4\sqrt{10}}{5}[/tex]  

Step-by-step explanation:

step 1

Find the radius of the circle

Remember that AB is a tangent to the circle at point B

so

AB is perpendicular to OA

The radius of the circle is equal to the segment OA

In the right triangle OAB

[tex]sin(30\°)=\frac{OA}{OB}[/tex]

[tex]OA=(OB)sin(30\°)[/tex]

substitute the values

[tex]OA=(16)0.5=8\ units[/tex]

step 2

Find the value of p

In the right triangle OPQ

see the attached figure to better understand the problem

Applying the Pythagoras Theorem

[tex]OP^2=OQ^2+PQ^2[/tex]

substitute the values

Remember that OP is the radius

[tex]8^2=p^2+(3p)^2[/tex]

[tex]64=p^2+9p^2[/tex]

[tex]64=10p^2[/tex]

[tex]p^2=\frac{64}{10}[/tex]

[tex]p=\frac{8}{\sqrt{10}}[/tex]

simplify

[tex]p=\frac{4\sqrt{10}}{5}[/tex]  

Answer:

70 cm^2

Step-by-step explanation:

A=LW=10*7=70

5/16 cups___1 muffin

5/4 cups___X=4 muffins

(5/4) / (5/16) = 4

Answer:

-5.4c

Step-by-step explanation:

We're combining two "like" terms here.

It may make the problem easier to visualize if we write one of these terms over the other, as follows:

-2.6c

- 2.8c

----------

Adding, we get:

-2.6c

- 2.8c

----------

- 5.4c (answer)

Answer:

[tex]y<\frac{1}{4}x+3[/tex]

Step-by-step explanation:

we know that

The solution of the inequality in the graph is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,3)

The dashed line pass through the points (0,3) and (4,4)

The slope of the dashed line is

[tex]m=(4-3)/(4-0)=1/4[/tex]

The equation of the dashed line in slope intercept form is

[tex]y=\frac{1}{4}x+3[/tex]

therefore

The inequality represented by the graph is

[tex]y<\frac{1}{4}x+3[/tex]

Answer:

Step-by-step explanation:

1d

2c

3a

4c

6  4=110(alt exter) 3=70(Suppl of 4)   1=70(vertical with 3)

7    x=3

   8x+8=32

8x=24

x=3

8

42=8x-14

56=8x

x=7

42=56-14

Answer:

7x+3

Step-by-step explanation:

The only like terms are 5x and 2x

5+2=7

Answer:

7x + 3

Step-by-step explanation:

Like terms are numbers with the same variables.

In 5x+3+2x, there are two terms that have the variable x.

You can combine 5x and 2x to be 7x.

5x + 3 + 2x

= 7x + 3

3 cannot be combined with them because it has no variable.