The day after her birthday party 1/3 of Emma’s birthday cake is left is the remaining cake is shared equally among Emma her brother Owen and their mother and father what fraction of the original Kikoo each of them get

Answer: 1.25 m

Step-by-step explanation:

Area of base = 1.2 m²

Number of gold fish = 6

Density of the tank should be = 4 fish/m³

Height of the tank= ?

4 fish = 1 m³

6 fish = 6/4 = 1.5 m³

Volume required for 6 fish is 1.5 m³

V = area of base x height (h)

1.5 = 1.2 x h

h = 1.25 m

Hence, height of the tank is equal to 1.25 m.

To find : Probability that person doesn't use any facility

Given : Total people = 130 ; People using gym (G), Swimming Pool (S), Track (T) = 73, 62, 58 respectively. People using G & P, P & T, G & T = 22, 29, 25. People using P & G & T = 11

So : Prob (G) = 73/ 130 , Prob (S) = 62/130 , Prob (T) = 58/130

P (G ∩ P) = 22 / 130 , P (P ∩ T) = 29 / 130 , P (G ∩ T) = 25 / 130 , P (P ∩ G ∩ T) = 11 / 130

Prob [ Person uses either P or G or T ] :

P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T) = ( 73 + 62 + 58 - 22 - 29 - 25 - 22) / 130 = 95 / 130

Prob [Person uses neither P or G or T] : 1 - Pr [Person uses either  P or G or T] = 1 - P (PUGUT) = 1 - (95 / 130) = 35 / 130

Hence, Probability that person doesn't use any facility = 35 / 130

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Answer:flying gorillla

Step-by-step explanation:because no

Answer:

MAD = 2

Step-by-step explanation:

First We'll find the mean of data

Mean = [tex]\frac{20}{5}[/tex]

Mean = 4

Then, we'll find absolute deviation

=> |4-3| = 1

=> |4-2| = 2

=> |4-1| = 3

=> |4-1| = 3

=> |4-3| = 1

Now, taking the mean of these absolute deviations:

MAD = [tex]\frac{1+3+3+2+1}{5}[/tex]

MAD = [tex]\frac{10}{5}[/tex]

MAD = 2

Answer:

a

Step-by-step explanation:

Identifying a proportion Which proportion resulted in the equation 3a = 7b

Answer:

B

Step-by-step explanation:

Answer:

₹ 4000

Step-by-step explanation:

Sarah's salary =₹ 30000

x= ₹ 30000- (₹ 3000+₹ 10000+₹ 7500+₹ 2500+₹ 3000)= ₹ 4000

Answer: $ 1361.04

Step-by-step explanation:

Discount will be 1060 * 20% = 212

Sales price 1060 + 212 = 1272

Tax 7% = 89.04

Kelly paid 1272 + 89.04 = 1361.04

Answer:

Step-by-step explanation:

I don’t know the answer

The value of x such that ∠MNQ and ∠PNR are vertical angles is 40

The given parameters are:

MNQ = 3x - 6

PNR = 114

Vertical angles are equal.

So, we have:

3x - 6 = 114

Add 6 to both sides

3x = 120

Divide both sides by 3

x = 40

Hence, the value of x is 40

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Answer: 0.39

Step-by-step explanation:

We are required to determine the the value of f, rounded to the nearest hundredth

The value of f, rounded to the nearest hundredth is 0.39

Given function:

[tex]d(v) = \frac{2.15 {v}^{2} }{64.4f} [/tex]

Where,

d = stopping distance in feet

v = initial velocity in miles per hour

f = a constant related to friction

When

v = 40 mph

d = 138 ft

f = ?

[tex]d(v) = \frac{2.15 {v}^{2} }{64.4f} [/tex]

[tex]138= \frac{2.15 {(40)}^{2} }{64.4f} [/tex]

138(64.4f) = 2.15(1600)

8,887.2f = 3440

f = 3440 / 8,887.2

f = 0.3870735439733

Approximately to the nearest hundredth f = 0.39

Therefore, the value of f, rounded to the nearest hundredth is 0.39

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Answer:

150 - 180 seconds

Step-by-step explanation:

Let change minutes to seconds

1 minute = 60 seconds

2.5 minutes * 60 =150 seconds

3 minutes * 60 = 180 seconds

150 - 180 seconds

Answer:

Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.

Answer:

4 and 5 are coefficients the rest are terms

Step-by-step explanation:

coefficients are the numbers not the letters

Answer:

Step-by-step explanation:

The terms are the elements of the sum:

  5b, 8c, 4p

The coefficients are the constant multipliers:

  5, 8, 4

___

In your list of items to "drag and drop", you have ...

Coefficient: 4, 5

Term: 4p, 5b, 8c

Answer:

a

Step-by-step explanation:

y=3x

thus, a proportional relationship equation is y=kx .Where k is constant

Answer:

200g oats

0.96l milk

72g sugar

Step-by-step explanation:

250/5 * 4 = 50 *4 = 200g oats

1.2/5 * 4 = 0.96l milk

90/5 * 4= 18*4 = 72g sugar

Answer:

[tex]342[/tex]

Step-by-step explanation:

The probability of heads landing is 0.43.

The probability of tails landing is 1-0.43=0.57.

Azmol throws the coin 600 times, so:

[tex]600 \times 0.57[/tex]

[tex]=342[/tex]

Answer:

Step-by-step explanation:

Graph shown in the attachment,

- Since every value of x corresponds to a distinct value of y, so the graph represents a function.

- Every input value of x of the table has a output value of y, therefore, it's a function.

- In the set of ordered pairs (5, 8) and (5, 2), input value x = 5 has two output values for y,

 y = 8 and y = 2

Therefore, it's not a function and (5, 8) should be changed to make the relation a function.

Answer:

y=8x+12

Step-by-step explanation:

Answer:

700/1=700

Th ratio is 700 times more so we multiply by 700

700 x 0.72 = 504

504 pounds

Hope this helps

Step-by-step explanation:

She will get 504 pounds by multiplying 700×0.72= 504.

Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.

Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).

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Answer:

3 x 5

Step-by-step explanation:

The dimension of a matrix is normally represented in form of:

number of rows x number of columns

In the given matrix, there are 3 rows and 5 columns.

=> The dimension of this matrix is 3 x 5

=> Option D is correct

Hope this helps!

Answer: False, language is a more specific word.

Step-by-step explanation:

Language is a complex and structured system of communication.

This word particularly refers to the "artificial codes or ciphers" that humans use to communicate.

The thing in the sentence is more general than language, this refers to communication:

"Communication is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading."

So the actual sentence is false.

Answer:

False

Step-by-step explanation:

Vertical angles are opposite to each other, so they are not adjacent.

The study with an error range of +-6 percentage points would be the most reliable.

As larger error ranges, such as options B, C, and D, indicate a greater degree of uncertainty and variability in the dat This reduces the reliability and precision of the study's findings.

So, when all other factors are equal, a study with a smaller error range, like with +-6 percentage points, would be considered more reliable.

Thus, with an error range of +-6 percentage points, has the smallest range.

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Answer:

a) The median AD from A to BC has a length of 6.

b) Areas of triangles ABD and ACD are the same.

Step-by-step explanation:

a) A median is a line that begin in a vertix and end at a midpoint of a side opposite to vertix. As first step the location of the point is determined:

[tex]D (x,y) = \left(\frac{x_{B}+x_{C}}{2},\frac{y_{B}+y_{C}}{2} \right)[/tex]

[tex]D(x,y) = \left(\frac{3 + 5}{2},\frac{-2 + 2}{2} \right)[/tex]

[tex]D(x,y) = (4,0)[/tex]

The length of the median AD is calculated by the Pythagorean Theorem:

[tex]AD = \sqrt{(x_{D}-x_{A})^{2}+ (y_{D}-y_{A})^{2}}[/tex]

[tex]AD = \sqrt{(4-4)^{2}+[0-(-6)]^{2}}[/tex]

[tex]AD = 6[/tex]

The median AD from A to BC has a length of 6.

b) In order to compare both areas, all lengths must be found with the help of Pythagorean Theorem:

[tex]AB = \sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}}[/tex]

[tex]AB = \sqrt{(3-4)^{2}+[-2-(-6)]^{2}}[/tex]

[tex]AB \approx 4.123[/tex]

[tex]AC = \sqrt{(x_{C}-x_{A})^{2}+ (y_{C}-y_{A})^{2}}[/tex]

[tex]AC = \sqrt{(5-4)^{2}+[2-(-6)]^{2}}[/tex]

[tex]AC \approx 4.123[/tex]

[tex]BC = \sqrt{(x_{C}-x_{B})^{2}+ (y_{C}-y_{B})^{2}}[/tex]

[tex]BC = \sqrt{(5-3)^{2}+[2-(-2)]^{2}}[/tex]

[tex]BC \approx 4.472[/tex]

[tex]BD = CD = \frac{1}{2}\cdot BC[/tex] (by the definition of median)

[tex]BD = CD = \frac{1}{2} \cdot (4.472)[/tex]

[tex]BD = CD = 2.236[/tex]

[tex]AD = 6[/tex]

The area of any triangle can be calculated in terms of their side length. Now, equations to determine the areas of triangles ABD and ACD are described below:

[tex]A_{ABD} = \sqrt{s_{ABD}\cdot (s_{ABD}-AB)\cdot (s_{ABD}-BD)\cdot (s_{ABD}-AD)}[/tex], where [tex]s_{ABD} = \frac{AB+BD+AD}{2}[/tex]

[tex]A_{ACD} = \sqrt{s_{ACD}\cdot (s_{ACD}-AC)\cdot (s_{ACD}-CD)\cdot (s_{ACD}-AD)}[/tex], where [tex]s_{ACD} = \frac{AC+CD+AD}{2}[/tex]

Finally,

[tex]s_{ABD} = \frac{4.123+2.236+6}{2}[/tex]

[tex]s_{ABD} = 6.180[/tex]

[tex]A_{ABD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]

[tex]A_{ABD} \approx 3.004[/tex]

[tex]s_{ACD} = \frac{4.123+2.236+6}{2}[/tex]

[tex]s_{ACD} = 6.180[/tex]

[tex]A_{ACD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]

[tex]A_{ACD} \approx 3.004[/tex]

Therefore, areas of triangles ABD and ACD are the same.

Answer:

18 men = 36 tons in 6 hours

Step-by-step explanation:

3 men = 1 ton in 1 hour

6 men = 2 ton in 1 hour

9 men = 3 tons in 1 hour

with this you find a pattern

3 men = 2 tons in 2 hours

3 men = 3 tons in 3 hours

3 men = 6 tons in 6 hours

6 men = 12 tons in 6 hours

9 men = 18 tons in 6 hours

12 men = 24 tons in 6 hours

15 men = 30 tons in 6 hours

18 men = 36 tons in 6 hours

(This is how i worked it out)

Answer:

18 people

Step-by-step explanation:

Method A:

3 man-hours to stack 1 ton

36 tons is 36 times 1 ton, so it takes 36 times as long to stack.

36 * 3 man-hours to stack 36 * 1 ton, or

108 man-hours to stack 36 tons

To do the job in 6 hours instead of 108, you need to do 108/6 = 18 times as much work per hour, so you need 18 times as many people.

18 * 1 person = 18 people

Answer: 18 people

Method B:

1 person works 3 hours and stacks 1 ton. That same person works another 3 hours and stacks another ton. In a total of 6 hours, 1 person stacked 2 tons. Since you need 36 tons stacked in the same 6 hours, and 36 = 18 * 2, you need 18 times the number of people, so you need 18 people.

Answer: 3.20 hours

Step-by-step explanation:

Hi, to answer this question, first we have to convert the kilometers into miles:

Since: 1 mile = 1.61 km

For 350km:

350 /1.61 = 217.39 miles  

Next, we have to apply the next formula:

Replacing with the values given:

Time = 217.39 mi / 68 mi/h = 3.20 hours

Feel free to ask for more if needed or if you did not understand something  

Answer:

add up all the colors

Step-by-step explanation:

Answer:

The leftmost graph [with the points (-3,-3) and (0,3)]

Step-by-step explanation:

y+3=2(x+3)

y+3=2x+6

y=2x+3

The y-intercept is 3, meaning that the line passes through the point (0,3), and it's slope is 2, so it travels 2 units up and 1 unit over. Thus the correct graph is the top left graph, with the two points (-3,-3) and (0,3).

The graph is considered as the creation of a diagram that depicts a relationship connecting two or more items, and further discussion can be defined as follows:

Given:

[tex]\bold{y+3=2(x+3)}[/tex]

To find:

graph=?

Solution:

[tex]\bold{y+3=2(x+3)}[/tex]

Solving the given equation:

[tex]\to \bold{y+3=2(x+3)}\\\\\to \bold{y+3=2x+6}\\\\\to \bold{y=2x+6-3}\\\\\to \bold{y=2x+3}\\\\[/tex]

Please find the graph in the attached file.

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Answer:

Step-by-step explanation:

[tex]t = \frac{mu^{2} }{k} -5mg\\kt = mu^{2} -5mg\\k = \frac{mu^{2} -5mg}{t}[/tex]

To make k subject of the fomula :

Step 1 : cross multiply

Step 2 : Divide both side of the equation to isolate k

The solution of the expression for the value of k will be k = (mu² - 5mgk)/t.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is t = (mu²)/k - 5mg. The value of the expression for the value of k will be,

The value of k will be written as,

t = (mu²)/k - 5mg

k = (mu² - 5mgk)/t

Therefore, the solution of the expression for the value of k will be k = (mu² - 5mgk)/t.

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