On Mother’s Day, 86 children were interviewed, and 15 said they were going to buy a chocolates for their mother, 25 said they were going to take their mother for vacation and 18 said they were going to buy their mother roses. Of these, 8 said they were going to buy a chocolate and take their mother for vacation. Five said they were going to buy both chocolate and roses, and eleven said they were going to buy their mother roses and take their mother for vacation. Only two children said they were going to treat their mother to all three, but chocolates, roses and take for vacations.


i. Illustrate the situation above with the Venn diagrams.
ii. How many children are going to buy chocolates and take their mother for vacation but not
buy them roses.

Answer:

Number of year = 9.5 year

Step-by-step explanation:

Given:

Initial value[Cost price] = $5,000,000

Depreciation rate[r] = 7% = 0.07

Final value[After depreciation cost] = 5,000,000 / 2 = $2,500,000

Find:

Number of year[After half value]

Computation:

A = p[1-R]ⁿ

Final value = Initial value[1-r]ⁿ

2,500,000 = 5,000,000[1-0.07]ⁿ

0.5 = [0.93]ⁿ

Number of year = 9.5 year

Answer:

y/x, 27/9 = 3, 3 = y/27, y = 81.

Step-by-step explanation:

Answer:

707

bc

tan(3)=a/4960

Answer:

[tex]\boxed {\boxed {\sf 260 \ feet}}[/tex]

Step-by-step explanation:

We are asked to find the driver's altitude increase. The increase in altitude is also the height of the triangle, which is labeled a.

Since this is a right triangle (signified by the small square representing a 90 degree angle), we can use trigonometry. The three trigonometric ratios are:

The angle (θ) given is 3 degrees. Side a is opposite this angle and the side measuring 4,960 feet is the hypotenuse because it is opposite the right angle. Therefore, we use sine.

[tex]sin \theta= \frac {opposite}{hypotenuse}[/tex]

[tex]sin 3= \frac {a}{4960}[/tex]

We are solving for a, so we must isolate the variable. It is being divided by 4960 and the inverse of division is multiplication. Multiply both sides by 4960.

[tex]4960*sin 3= \frac {a}{4960}*4960[/tex]

[tex]4960*0.05233595624= a[/tex]

[tex]259.586343=a[/tex]

Round to the nearest whole number. The 5 in the tenth place tells us to round the 9 to a 0 in the ones place, then the 5 to a 6 in the tens place.

[tex]260 \approx a[/tex]

The driver's increase in altitude is approximately 260 feet.

Answer:

2.99 i think

Step-by-step explanation:

Answer:

show your face

Step-by-step explanation:

Answer:

Step-by-step explanation:

that the A on the triangle is pointed in the opposite direction should help you decide what happened.... how far around do you have to turn to be facing in the opposite direction?

if you said  180 ° , you'd be right :)

180 is the green choice, that looks good

9514 1404 393

Answer:

  4/π

Step-by-step explanation:

Use the given radius in the formula for the area of a circle.

  A = πr²

  A = π(2/π)² = 4π/π²

  A = 4/π . . . . square units

Answer:

wow hold on BTW I LIKE YOUR CUG

The element of replication in the study is option b, their 500 stores.

Replication in statistics id defined as that repeating an experiment so that the variability if any existing in the event can be noticed.

Replicate is termed as each of the repetition.

Given that,

A large supermarket chain was interested in seeing if they could increase their holiday sales by starting their Black Friday sales 2 hours earlier than normal.

To test this, they randomly selected half of their 500 stores and told them to start their sales at the new starting time, while the other half of the stores would start at the standard starting time.

So here the replication is the repetition of the same experiment by 500 stores.

So the element of replication is 500 stores.

Hence 500 stores is the element of replication.

Learn more about Replication here :

https://brainly.com/question/4379946

#SPJ2

Answer: Billie earns more.

Step-by-step explanation:

Since Linda earns $2538 per month. We have to calculate her yearly earnings and this will be:

= $2538 × 12

= $30456

Billie earns $32,700 per year. From the calculation above, we can see that Billie earns more than Linda.

Answer:

69

Step-by-step explanation:

both edges equal 90 degrees

90 plus 90 plus 111 =291

360-291

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Answer: n = -1

-----------------------------------------------------------------------------------------------------------------

add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

-----------------------------------------------------------------------------------------------------------------

simplify.

(add the numbers)

4n − 6 + 6 = 10n + 6

4n = 10n + 6

4n = 10n + 6

-----------------------------------------------------------------------------------------------------------------

subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

-----------------------------------------------------------------------------------------------------------------

simplify. (again)

(combine like terms)                                          (combine like terms)

4n − 10n = 10n + 6 − 10n                                   −6n = 10n + 6 − 10n

−6n = 6

-----------------------------------------------------------------------------------------------------------------

divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

-----------------------------------------------------------------------------------------------------------------

simplify. (again)

(cancel terms that are in both the numerator and denominator)

n = 6/−6

(divide the numbers)

n = 6/−6

n = 1

-----------------------------------------------------------------------------------------------------------------

Answer:

n= -1

Step-by-step explanation:

Answer:

1) x represents the # of cranes

  3x represents the # of cranes * 3 minutes

  10 represents the time the centerpiece took

  30 is the time limit

2) x[tex]x\geq \frac{20}{3} or 6\frac{2}{3}[/tex]

Btw, i'm not sure which way the signs go since I learned this a while ago.

Step-by-step explanation:

Good Luck!!!

Answer:

ehhhhhhhhhhhhhhhhhhh

Answer:

10a + 7c < 40

Step-by-step explanation:

9514 1404 393

Answer:

  y = 27

Step-by-step explanation:

In these similar right triangles, the ratio of long side to short side is the same.

  y/18 = 18/12

  y = 18(18/12)

  y = 27

Solution :

A permutation in the field of mathematics may be defined as the arrangement of its members into a linear order or a sequence. However, if a set is already being ordered, then it is the rearrangement of the elements of the set.

In the context, the next largest permutation set is :

a). (1,2,3,4,5,6,7)

b). The given permutation is the last one in the lexicographic order.

c). (1,7,6,4,2,5,3)

d). (4,1,2,3,5,6,7)

e). (5,6,7,4,3,2,1)

The next permutation in lexicographic order will be (5,6,7,4,3,2,1).  

It should be noted that a permutation in the field of mathematics where there are several possible ways in which numbers or things can be ordered or arranged.

When applied to numbers, the lexicographic order is increasing numerical order. This is an increasing numerical order from left to right). For example, the permutations of {1,2,3} in lexicographic order are 123, 132, 213, 231, 312, and 321

In the context, the next largest permutation set is (5,6,7,4,3,2,1).

Learn more about permutations on:

https://brainly.com/question/1216161

Answer:

11

Step-by-step explanation:

Answer:

[tex]\frac{3}{x}+\frac{x}{x+2}= \frac{x^2+3x+6 }{x^2+2x}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{x}+\frac{x}{x+2}[/tex]

Required

Solve

[tex]\frac{3}{x}+\frac{x}{x+2}[/tex]

Take LCM

[tex]\frac{3(x+2) + x * x}{x(x+2)}[/tex]

[tex]\frac{3(x+2) + x^2}{x(x+2)}[/tex]

Open brackets

[tex]\frac{3x+6 + x^2}{x^2+2x}[/tex]

Rewrite as:

[tex]\frac{x^2+3x+6 }{x^2+2x}[/tex]

Hence:

[tex]\frac{3}{x}+\frac{x}{x+2}= \frac{x^2+3x+6 }{x^2+2x}[/tex]

Answer:

If you give me the image and what the question is then I will be happy to try and help you in the comments!

Step-by-step explanation:

Answer:

a=20

Step-by-step explanation:

7+13=20

20-7=13

Answer:

A the end of three years you would earned $48.96 in interest.

Step-by-step explanation:

Answer:

I would say d.im pretty sure tho

Answer:

The mass of the radioactive sample after 40 minutes is 12.8 g.

Step-by-step explanation:

The mass of the sample can be found by using the exponential decay equation:

[tex] N_{t} = N_{0}e^{-\lambda t} [/tex]

Where:

N(t): is the amount of the sample at time t =?

N₀: is the initial quantity of the sample = 120 g

t = 40 min

λ: is the decay constant =  0.056 min⁻¹

Hence, the mass of the sample after 40 min is:

[tex] N_{t} = N_{0}e^{-\lambda t} = 120g*e^{-0.056min^{-1}*40 min} = 12.8 g [/tex]

Therefore, the mass of the radioactive sample after 40 minutes is 12.8 g.

I hope it helps you!

Answer:

32/40

Step-by-step explanation:

4x8 and 4x10

Answer:

B

Step-by-step explanation:

minimum = 1

first quartile = 12

median = 6

third quartile = 16

maximum = 19

Answer:

Longer side = 145ft

Shorter side = 135ft

Step-by-step explanation:

Here we have a rectangle.

Let's define L as the longest side (the one that is perpendicular to the wall of the house) and S as the shorter side.

We know that the perimeter of a rectangle is:

P = 2*L + 2*S

So if we wanted to fence this rectangle, we would need fencing equal to the perimeter.

But in this case, one of the shorter sides does not need to be fenced, so we only need:

2*L + S of fencing.

And we know that we will use 425ft of fencing, then:

2*L + S = 425 ft

We also know that The length of the fence opposite the house is 10 ft less than  either of the other two sides, then:

S = L - 10ft

Then we have two equations:

2*L + S = 425 ft

S = L - 10ft

Here we can just replace the second equation into the first one to get:

2*L + (L - 10ft) = 425 ft

Now we can solve this for L

2*L + L - 10ft = 425ft

3*L = 425ft + 10ft

3*L = 435ft

L = 435ft/3 = 145ft

This means that the longer side is 145ft long.

And by the equation:

S = L - 10ft

S = 145ft - 10ft = 135ft

S = 135ft

We know that the shorter side is 135ft long.

Answer:

18. 3,0 19. 0,5

Step-by-step explanation: