A shop has 31 plant pots.
Some are blue, some are yellow and the rest are red.
There are five more blue pots than yellow pots.
There are four times as many blue pots as there are red pots..
Calculate how many pots there are of each colour.

The deans have a higher weighted mean score for business schools which is 3.8.

The weighted arithmetic mean is similar to the conventional arithmetic mean in that certain data points contribute more than others to the final average.

Weighed mean = (weightage x parameter)/no of parameters

The Weighted mean score for deans

= [(5×44)+(4×66)+(3×60)+(2×10)]/(44+66+60+10)

= 684/180

= 3.8

The Mean weigted score of recruiters

= [(5×31)+(4×34)+(3×43)+(2×12)]/(31+34+43+12)

= 444/120

= 3.7

Hence, The deans have a higher weighted mean score for business schools which is 3.8.

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The proof of the given statements is shown below:

A line segment which touches a circle specified to only one point is called a tangent to that circle.

1. given

2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.

3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,

    angle EFC =90

4.  Sum of interior angles of a triangle is 180°.

5. proved above: angle EFC= 90

6. FEC + ECF= 180-90=90

7. As proved above

   FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.

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Answer:

b) 0.324 < p < 0.416

Step-by-step explanation:

b) 0.324 < p < 0.416

Answer:

D. y= 1/9x

Step-by-step explanation:

y= 1/9x

(x)=9y

so I think d is your answer sorry if its wrong but i hope i helped.

Answer: D. y= 1/9x

Step-by-step explanation: i think you answer is  correct if not it's ok

Answer:

14 meters

Step-by-step explanation:

Answer:

third angle: 50°

The interior angles of a triangle sum ups to 180°.

Here given two angles: 95°, 35°, x - Let the missing angle be x

When they sum up, they equal to 180:

x + 35 + 95 = 180

x + 130 = 180

x = 180 - 130

x = 50

Given two angles are 35° and 95°

Let the unknown angle be "x"

We know that sum of angles of a triangle is 180°

Therefore,

[tex]\sf{35°+95° + x = 180°}[/tex]

[tex]\sf{130° + x = 180°}[/tex]

[tex]\sf{x = 180°-130°}[/tex]

[tex]\sf{x = 50°}[/tex]

Hence, the missing angle is 50°.

Usual gradation standards

So inorder to make her wrong we need something less than B+ I e <70

Smallest score is 0 largest score is 70 .

Answer:

620.097 units

Step-by-step explanation:

1. Consider the following points:

(-71,432) and (511,218)

The objective is to find the distance between these two points using a graphing calculator and round your answers to the nearest thousandth.

Using my knowledge of "Mental Math" I can determine that the final answer is 620.097 units.

The volume of the stones will be 384 inch³.he volume of the stone is found by subtracting the volume before stones and the volume after stones in the container.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic inch.

Volume before the stones are put in the container is;

[tex]\rm V_1 = L bh \\\\ V_1= 4 \times 16 \times 8 \\\\ V_1= 512 \ inch^3[/tex]

The volume after the stones are put in the container is;

[tex]\rm V_2= 7 \times 16 \times 8 \\\\\ V_2= 896 \ inch^3 \\\\[/tex]

The volume of the stone is found by subtracting the volume before stones and the volume after stones;

[tex]\rm V = V_2-V_1 \\\\\ V=896-512 \\\\ V_2= 384 \ inch^3[/tex]

Hence,the volume of the stones will be 384 inch³.

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Answer:

A) 70%

B) 95%

Step-by-step explanation:

A) $200 to $340

Increase = $340 - $200 = $140

Percentage of increase = $140/$200 * 100% = 70%

B) Additional $50

Increase = $140 + $50 = $190

Percentage of increase = $190/$200 * 100% = 95%

Answer:

C. $774.00

Step-by-step explanation:

First, you have to find the area of the area that is tile, in this case, it is a trapezoid.

Area of Trapezoid formula:

A= 1/2(b1+b2)h

h= height

b=base

A= 1/2(15+25)30

A= 1/2(40)(30)

A=1/2(1,200)

A= 600

Now, you multiply 600 by the cost of the tile to get how much money it will cost.

600*1.29= $774.00

Answer:

x= 11.87

Step-by-step explanation:

sec(32) = 14 /x

1.18=14/x

x1.18 =14

x= 11.87

Answer:

150 degrees

Step-by-step explanation:

This is because the opposite angles in this parallelogram are equal.

Answer:

84

Step-by-step explanation:

There are 12 inches in a foot. We have 7 feet. To find how many inches it is, all we do is multiply 7 by 12, which if we do, we get 84.

Hope this helps!

Answer:

84

Step-by-step explanation:

Answer:

Either %16.67 or %17 if rounded

Step-by-step explanation:.

An easy way to do this is convert the probability from a fraction into a percent. We can do this by taking the total number of chocolate squares (18) and using this as a denominator. Then take the number of white chocolate squares (3) and using this as our numerator. This give us a fraction of 3/18. Now to turn this into a percent, we need to find what you need to multiply 18 by to get 100. We can do this easily by deviding 100 by 18. This is a long decimal so i'll keep it in fraction form (100/18). Now you just have to multiply 3 by (100/18). This is about 16.67. If the answers are rounded it will be 17%.

Answer:

19 or 20

Step-by-step explanation:

well is see

Monday = 12

Tuesday = 12 + 3 = 15

Wednesday = 15 +3 = 18

so the pattern is 3

but now since there is only 14, 13, 19, and 20

we could say she only added 1 or 1 each time

because it said she wanted cookies to stay about 18

1 x 2 = 2

18 + 2 = 20

or

1 + 18

19

sorry if it's wrong

So

a_2

a_3

a_4

a_5

Answer:

14

Step-by-step explanation: because you find a common number that both the numerator and the denominator can be divided by. In this case, it is 2 . You can't divide 14 anymore so that is the final answer.

Step-by-step explanation:

[tex] \frac{a}{b} c = \frac{a}{ \frac{b}{c} } [/tex]

[tex] \frac{a}{b} c = a \times \frac{c}{b} [/tex]

Answer:

Step-by-step explanation: change A/B/C to A÷B/C then change the division sign into a multiplicmultiplication sign so that you will have A×C/Bwhich will make your left equation = to your right equation

Answer:

Step-by-step explanation:

Given :-

To find :-

Solution :-

The find area of sqaure firstly we need to find the length of each side of the sqaure.

We know that,

Perimeter of rectangle = 4 × side

→ 840 = 4 × side

→ 840/4 = side

→ 210 m = side

→ Area of rectangle = (Side)²

→ Area = (210)²

→ Area = 44,100 m²

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a square having perimeter of square 840 m . And we are asked to find the area of square .

For finding area of square we need to find the side of square . So , we are finding the side of square by assuming it as " x " metres and then equating it with given perimeter that is 840 m .

We know that ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

[tex] \qquad \quad \underline{\boxed{\frak{Perimeter_{(Square)} = 4 \times Side }}}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

SOLUTION : -

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

✼ Finding Side ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Substituting value of side as x in formula and equating it with 840 :

[tex] \quad \longmapsto \qquad \: 4 \times x = 840[/tex]

or ,

[tex] \quad \longmapsto \qquad \:4x = 840[/tex]

Dividing with 4 on both sides :

[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{ \dfrac{840}{4} }[/tex]

We get ,

[tex] \quad \longmapsto \qquad \: \underline{\boxed{\frak{x= 210 \: m}}}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

✼ Finding Area ,

‎ ‎ ‎ ‎ ‎ ‎ ‎

We know that ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

[tex] \: \qquad \: \qquad \: \underline{\boxed{\frak{Area_{(Square)} = Side {}^{2} }}}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Now , substituting value of side as 210 in formula :

[tex] \quad \dashrightarrow \qquad \: (210) {}^{2} [/tex]

or ,

[tex] \quad \dashrightarrow \qquad \:210 \times 210[/tex]

Multiplying 210 two times , We get :

[tex] \quad \dashrightarrow \qquad \:\blue{\underline{\boxed{\frak{44100 \: m {}^{2} }}}} \quad \bigstar[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

y=1/2(0.25)^0-1. +2

y=1/2(0.25)^-1 +2

y=1/2*4+2

y=2+2

y=4

Step-by-step explanation:

set x to 0 to find y intercept

Find some points

x=1

x=2

As you did the graph already so I haven't attached it .

The Y intercept

Put x=0

Y intercept is 4

Answer:

D) 0.69

Step-by-step explanation:

Given :

5 × 2³ˣ = 21

Divide by 5 on each side :

Taking the cubic root :

Using logarithm values :

Answer:

D.  0.69

Step-by-step explanation:

Given equation:

[tex]5 \cdot 2^{3x}=21[/tex]

Divide both sides by 5:

[tex]\implies \dfrac{5 \cdot 2^{3x}}{5}=\dfrac{21}{5}[/tex]

[tex]\implies2^{3x}=4.2[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies(2^3)^x=4.2[/tex]

[tex]\implies8^x=4.2[/tex]

Take natural logs of both sides:

[tex]\implies \ln 8^x=\ln 4.2[/tex]

[tex]\textsf{Apply the log Power law} \quad \ln x^n=n\ln x :[/tex]

[tex]\implies x \ln 8=\ln 4.2[/tex]

Divide both sides by ln 8:

[tex]\implies \dfrac{x \ln 8}{\ln 8}=\dfrac{\ln 4.2}{\ln 8}[/tex]

[tex]\implies x=\dfrac{\ln 4.2}{\ln 8}[/tex]

[tex]\implies x=0.690129776...[/tex]

[tex]\implies x=0.69 \: \sf (2\:dp)[/tex]

Answer:

35 square feet

Step-by-step explanation:

Area of the rug :

Answer:

The 8.39-kg bag

Step-by-step explanation:

19.99 divided by 7.98 = $2.51

20.38 divided by 8.39 = $2.43

2.51 > 2.43

So 8.39-kg bag is the better buy

Answer:

Step-by-step explanation:

To find the unit price, divide the price by the number of units. Here, the unit of interest is 1 kg.

__

Unit price of 7.98 kg bag:

  $19.99/(7.98 kg) = $2.51 /kg

__

Unit price of 8.39 kg bag:

  $20.38/(8.39 kg) = $2.43 /kg

__

The 8.39 kg bag has a lower cost per kilogram, so is considered the better buy.

Step-by-step explanation:

2) 8,6,5,3 ,57 7,4,2/8

=92/8

mean =11.5

Arrange the terms in ascending order

2,3, 4, 5, 6, 7, 8, 57

the median of the ascending set= 5.5

3) 72 75 85 82 37 108/ 6

459/6

mean =76.5

Arrange the terms in ascending order

37, 72, 75, 82, 85, 108

the median of the ascending set= 78.5

4) 10 students were asked because there were 10 data values in the list.

5) it should be 55/10 =5.5

so its false

6) Sum first and find the mean number

5+4+3+2+1/5

=3

Answer:

a. the time spent answering homework

b. time finished and time started

c. subtraction

d. 7:20-6:50 (unsure how this is supposed to be laid out)

e. Carlo spent 30 minutes answering his homework

The number 5 is closest to the mean of the distribution, option (B) is correct.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

From the histogram:

2, 6, 4, 2, 0, 1, 6, 4, 2, 1

The sum of the above data = 28

= 2×1+6×2+4×3+2×4+0×5+1×6+6×7+4×8+2×9+1×10

= 2+12+12+8+6+42+32+18+10

= 142

Mean = 142/28

= 5.07

Thus, the number 5 is closest to the mean of the distribution option (B) is correct.

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Answer:4

Step-by-step explanation:jus done this question