Out of 113 students, it was found that 18 drink neither tea nor coffee, 67 drink tea and 37 drink coffee.Find:
i) How many students drink coffee only?
ii) How many students like tea only?
Also show in the Venn diagram?​

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

[tex]y - y'= \frac{y''-y'}{x''-x'}\times (x-x')[/tex]

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

Answer:

(-2, 3)

Step-by-step explanation:

Think of this in the future:

Counter-clockwise rotations:

90-degree --> (x,y) = (-y,x) ex. (3,2) --> (-2,3)

180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3, -2)

270 degree --> (x,y) = (y,-x) ex. (3,2) --> (2, -3)

Clockwise rotations:

90-degree --> (x,y) = (y, -x) ex. (3,2) --> (2, -3)

180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3,-2)

270-degree --> (x,y) = (-y, x) ex. (3,2) --> (-2,3)

Answer:

The margin of error of his experiment is of 0.1074.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

30 M & M's from a bag, and 3 of them are green.

This means that [tex]n = 30, \pi = \frac{3}{30} = 0.1[/tex]

Standard 95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.1*0.9}{30}}[/tex]

[tex]M = 0.1074[/tex]

The margin of error of his experiment is of 0.1074.

Answer:

a = 14.4

Step-by-step explanation:

It's a right angled triangle. so it has to follow Pythagoras Theorem

according to it square of hypotenuse = sum of squares of other two sides

[tex]16 {}^{2} = {x}^{2} + 7 {}^{2} \\ 256 = x {}^{2} + 49 \\ 256 - 49 = x {}^{2} \\ 207 = x {}^{2} \\ x = \sqrt{207 } \\ x = 14.387 \\ x = 14.4[/tex]

after rounding the decimal a= 14.4 in

Answer:

16

Step-by-step explanation:

for every 3 boys there is 4 girls

divide 12 by 3 and the answer is 4

multiply 4 by 4

16 This will be your answer

Answer:

19.62N

Step-by-step explanation:

Given data

Mass =2kg

Force =10N

The applied force is

F=mg

F=2*9.81

F=19.62N

Hence the applied force is 19.62N

Answer:

g(x)=[tex](3x)^{2}[/tex]

Step-by-step explanation:

In this graph g(x) will be equal to g(x)=[tex](3x)^{2}[/tex]. Multiplying a squared variable will close the parabola together, but multiplying the variable itself and then calculating the square will exponentially close the parabola. Without the parenthesis x would be substituted for 1, 1 squared is 1 and multiplied by 3 would be 3. Therefore, giving you a coordinate of (1,3). With parenthesis that would be 3 times greater which would give you a coordinate of (1,9) as can be seen in the graph attached below.

Given :

The points P (2, -3) & Q (-5, -3) whose ordinates are same.

To Find :

To which axis the line PQ is parallel.

Solution :

In given points the ordinates are same.

Therefore, the line is parallel to the x- axis.

Hence, this is the required solution.

Answer:

C    Zero

Step-by-step explanation:

[tex] -9 \times (\dfrac{0}{-3}) = [/tex]

[tex] = -9 \times 0 [/tex]

[tex] = 0 [/tex]

Answer: C  Zero

Answer:

B A B

Step-by-step explanation:

Answer:

1. A or one meter

2. A or 4 kilometers

3. B or 4 thousand strides

Step-by-step explanation:

marathon is 4 kilometers and a kilometer is 1000 strides or meters.

Answer:

4

Step-by-step explanation:

b² - a² is the formula

5² - 3²

16

√16

= 4

Answer:

B

Step-by-step explanation:

Simply subtract 0.07 from 49.51 too get 49.44.

Hope that this helps!

Answer:

118

Step-by-step explanation:

Mode refers to a value that appears most frequently in a data set.

For example the mode in the data set below is 3 :

1, 2,3 4,3,3,9,10

3 is the mode because it appears 3 times while others appear once in the data set while the other values appear only once.

Mode is a measure of central tendency

118 appears 3 times while others appear once so it is the mode

Answer:

10  1/5 pi

Step-by-step explanation:

First find the area of the circle

A = pi r^2 = pi *6^2 = 36 pi

Then find the fraction of the circle that is shaded

A circle is 360 degrees

102/360 =17/60

Multiply the fraction by the area

17/60 * 36 pi

51/5 pi

10  1/5 pi

Answer:

32.04

Step-by-step explanation:

firstly area of a sector is angle/360 multiplied by pi *r squared

so in this case it is going to be 102/360 *pi *6^2

6 squared is 36 all multiplied by pi and 106/360

it is advisable that you enter them all at once in your calculator

the final answer will be32.0444507

which is rounded to 32.04

Answer:

where is the table

Step-by-step explanation:

Answer:

whare is the table?

Step-by-step explanation:

we cant answer if theres no table

Answer:

5.85

Step-by-step explanation:

100%-> 6.50

100%-10% = 90 %

90%-> 6.50/100 x 90

           =5.85

Answer:

12

Step-by-step explanation:

Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.

A = bh/2

A = 8 * 3/2

A = 12

Answer:

135 and 315degrees

Step-by-step explanation:

Given the expression

4tan²θ+tanθ=−4tanθ−1

Equate to zero

4tan²θ+tanθ+4tanθ+1 = 0

4tan²θ+5tanθ+1 = 0

Let x = tanθ

4x²+5x+1 = 0

Factorize;

4x²+4x+x+1 = 0

4x(x+1)+1(x+1) = 0

4x+1 = 0 and x+1 = 0

4x = -1 and x = -1

x = -1/4 and -1

Since x = tanθ

-1 =tanθ

θ = arctan(-1)

θ = -45degrees

Since tan is negative in the 2nd and fourth quadrant;

In the second quadrant

θ = 180 - 45 = 135degrees

In the fourth quadrant;

θ = 360 - 45 = 315degrees

Hence the required angles are 135 and 315degrees

Answer:

D = 48  E= 90 F = 42 FE = 15

Step-by-step explanation:

Sorry, i dont know how to get DF and DE yet

Answer:

The last two

Step-by-step explanation:

Scientific notation:

a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8

Answer:

C

Step-by-step explanation:

2 (20)=40

70-40=30

30/2 = 15 actual width of both sides

P= 2l + 2w

Answer:

30 minutes

Step-by-step explanation:

20+30+20--80

Answer:

[tex] {8}^{6} \div 8 \\ = {8}^{6} \div {8}^{1} \\ = {8}^{(6 - 1)} \\ = {8}^{5} [/tex]

Answer:

[tex]8^{5}[/tex] or 32768

Step-by-step explanation:

When dividing exponents, you subtract the exponent on the top from the one on the bottom:

[tex]8^{6}[/tex]/[tex]8^{1}[/tex] = [tex]8^5[/tex]  because 6-1 = 5

Respuesta:

3,59 metros

Explicación paso a paso:

Conversión del ángulo de elevación a grados;

29 ° 12 '35 "

= 29 ° + 12 '/ 60 + 35 "/ 3600

= 29,20972 °

Resolviendo el triángulo de solución adjunto:

La longitud de la sombra se puede obtener utilizando la relación trigonométrica;

Sin θ = opuesto / hipoteno

Sin 29.20972 = 1.75 / sombra

Sombra = 1.75 / Sin 29.20972

Longitud de la sombra = 3,59 m

Answer:

19.55m

Step-by-step explanation:

We solve the above question using the formula for Arc Length

The formula of Arc length when central angle is given in degrees = Length of AB

= θ/360 × 2πr

Central angle = θ = 140°

Radius = r = 8m

Hence,

Length AB = 140/360 × 2 × π × 8

= 19.547687622 m

Approximately to the nearest hundredth, the length of AB = 19.55m