200 people are asked about three brands of beverages Coffee, Tea and Chocolate. 36 like
Coffee only, 46 like Coffee but not Tea, 52 like Coffee, 16 like Tea and Chocolate, 96 like
Chocolate, 16 like Coffee and Chocolate while a total of 108 like one and only one of the
beverages.
Required
i) Calculate the number of people like black coffee?
ii) How many people don’t like any of the drinks?

Answer:

see photo

Step-by-step explanation:

see photo for answer

sometimes when there is a fraction in the question it's a good idea to keep things as fractions and not decimals

Answer:

The percent decrease is 16.67%.

Step-by-step explanation:

percent change = (new price - old price)/(old price) × 100%

percent change = (N1250 - N1500)/(N1500) × 100%

percent change = -250/1500 × 100%

percent change = -16.67%

A negative percent change is a percent decrease.

The percent decrease is 16.67%.

Using the t-distribution, it is found that the margin of error for the 95% confidence interval is of $336.

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 69 - 1 = 68 df, is t = 1.9955.

The standard deviation and sample size are given, respectively, by:

s = 1400, n = 69.

Hence, the margin of error in dollars is given by:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

[tex]M = 1.9955\frac{1400}{\sqrt{69}}[/tex]

M = 336.

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The number of years it would take $4000 to grow to $4616 is 2.92 years.

When an amount earns compound interest compounded semi annually, it means that both the amount invested and the interest accrued increases in value twice yearly.

Number of years = (In FV / PV) / r

(In 4616 / 4000) / 0.049 = 2.92 years

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Answer:

6x + 200 = 17,000

Step-by-step explanation:

Lower level = 4x - 300

Mid level = 2x + 500

Combine the two equations to find the number of seats in the upper level

(2x + 500) × (4x - 300) = 17,000

Combine like terms

4x × 2x + 500 - 300 = 17,000

6x + 200 = 17,000

Answer:

hope you can understand

Answer:

The correct answer is:

Plane.

Step-by-step explanation: There are three terms generally considered to be undefined in geometry:  point, line and plane.

A circle is the set of all points in a plane the same distance from a given point called the center.  The only of our options that is used in this definition is

The correct answer is;

⇒ Plane.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, We know that;

There are three terms generally considered to be undefined in geometry:  point, line and plane.

Hence, A circle is the set of all points in a plane the same distance from a given point called the center.

And, The only of our options that is used in this definition is plane.

Thus, The correct answer is;

⇒ Plane.

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[tex]~~~(x^2 -4)(x^2 +6x +9)\\\\=(x^2 -2^2)(x^2 +2 \cdot 3x +3^2)\\\\=(x+2)(x-2)(x+3)^2[/tex]

Answer: 18.33 ppg

Step-by-step explanation:

He played three games

18+29+8=55

55/3=18.33

The total cost for the increment if Sasha gives every employee a $1,000 raise in addition to adjusting the lowest salary is $13000.

An equation is an expression that shows the relationship between two or more variables and numbers.

The lowest salary is $32000, hence to increase to $40000, we need an additional $8000.

Also, giving every employee a $1,000 raise accounts for $5000 since there are 5 staff.

The total cost of increment = 8000 + 5000 = 13000

The total cost for the increment if Sasha gives every employee a $1,000 raise in addition to adjusting the lowest salary is $13000.

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Step-by-step explanation:

the answer is 5 percentage because the formula is 100 * 400 over 4000 * 2

Answer:

I hope you can help

Answer:

40 dollars

Step-by-step explanation:

We can use a ratio to solve the problem

5 pounds         50 pounds

----------------  = -----------------

4 dollars            x dollars

Using cross products

5 * x = 4 * 50

5x = 200

Divide by 5

5x/5 = 200/5

x = 40

40 dollars

Step-by-step explanation:

[tex]\sf 5 \: pounds \longrightarrow 4 \: dollars[/tex]

[tex]\sf 1\: pounds \longrightarrow \dfrac{4}{5} \: dollars[/tex]

[tex]\sf 50\: pounds \longrightarrow \dfrac{4}{5}×50 \: dollars[/tex]

[tex]\sf \longmapsto 40 \: dollars[/tex]

Answer:

10 miles

Step-by-step explanation:

total amount=$44.80

pick up fee=$4.80+$4 per mile

to get the miles of the taxi ride it will be=total amount-pick up fee÷$4

$44.80-$4.80÷$4

$40÷$4

=10 miles

THANK YOU

the original cost is "x", which is the 100% of the original price, and we also know that €336 is its price increased by 40%, namely 100% + 40% = 140%, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 336& 140 \end{array} \implies \cfrac{x}{336}~~=~~\cfrac{100}{140} \\\\\\ \cfrac{x}{336}=\cfrac{5}{7}\implies 7x=1680\implies x=\cfrac{1680}{7}\implies x=240[/tex]

This are interest added on a sum of money invested. Jack will have $168.95 more than Maya in his account

This are interest added on a sum of money invested. The formula for calculating compound amount is given as;

A = P(1 +r/n)^nt

Given the following parameter

P =$2100

rate r = 7 5/8% = 0.07625

time t = 12 years

n =12 (monthly)

Substitute

A = 1200(1+0.07625/12)^12(12)
A = 1200 (2.4895)
A = $2987.46

For Maya

A = 1200(1+0.07375)^12

A = 2818.50

Take the difference

Difference =$2987.46 - $ 2818.5

Difference = $168.95

Hence Jack will have $168.95 more than Maya in his account

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Answer:

area = 28.27

circumference = 18.85

Step-by-step explanation:

Using the formulas for area,

A = πr^2

d = 2r

Solving for area,

A = 1/4 πd^2 = 1/4 × π × 6^2 ≈ 28.27yd²

Using the formulas for circumference,

C = 2 πr

d = 2r

Solving for circumference,

C = πd = π × 6 ≈ 18.85yd

The description of the area of a square is (c) as the length of the side increases, the area increases.

The table of values is given as:

Side Length (cm)        Area (cm²)

1                                       1

2                                      4

3                                      9

4                                      16

5                                    25

In the above table, we can see that:

As length increases, the area also increases

Hence, the description of the area is (c) as the length of the side increases, the area increases.

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Answer: Equation: 27t +700 = w

Total amount of water after 17 minutes: 1159 L

Step-by-step explanation:

Equation: 27t +700 = w

let t = minutes

let w = total amount of water in pond (liters)

Total amount of water after 17 minutes: 1159 L

t = 17

therefore

27(17) +700 = 1159

Answer:

425 l

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Isolate the b by subtracting 6 from both sides

Question: b + 6 = 21
Subtract 6 from both sides

b + 6 - 6 = 21 - 6

b = 15

Answer:b=15

Step-by-step explanation:

Just subtract 6 from 21 to get b.

The purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The question is incomplete.

The complete question is in the picture, please refer to the picture.

Total number of pieces = 3+5 = 8

So, the purple pieces = 5(5/8) = 35

Total pieces = 20/(5/8) = 4×8 = 32

Thus, the purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

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Answer:

10%

Explanation:

Use future value formula

Future Value =  Present Value ((1+r)^n)

26,600 =  20,000 ((1+r)^3

26,600/20,000 = (1+r)^3

1.33 = (1+r)^3

1.33^1/3 = 1+r

1.0997 = 1+r

1.0997 - 1 = r

r = 0.997 = 9.97% = 10% (rounded of to the nearest whole percentage)

(pls give brainliest)

Step-by-step explanation:

a linear relationship is simply a straight line relationship.

any equation that can be pot in the form of y = mx + b is a linear relationship.

linear = straight

hope this helps

Step-by-step explanation:

A)

Class Width=8

Median= 28.1

Modal Class= 20.5-28.5

B)

Mean=31.34

The true statements are:

There are 56 fluid ounces of milk left.

There is more than 1 / 4 gallon of milk left.

What are the true statements?

The first step is to convert gallons to cups.

1 cup = 16 gallons

Then, convert quarts to cups

1 quart = 4 cups

1 1/2 x 4

3/2 x 4 = 6 cups

Total cups left = 16 - 6 - 3 = 7 cups

1 cup = 8 ounces

Total milk left in ounces: 8 x 7 = 56 ounces

1 cup = 1/16 gallons

Total milk left in gallons: 1 / 16 x 7 = 7/16  gallons

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A

I believe that I am correct

Answer:

Here,

[tex](a + b) [(a + b)(a + b)][/tex]

[tex](a + b)( {a}^{2} + 2ab + {b}^{2} )[/tex]

[tex]a( {a}^{2} + 2ab + {b}^{2} ) + b( {a}^{2} + 2ab + {b}^{2} )[/tex]

[tex] {a}^{3} + {2a}^{2} b + {ab}^{2} + {a}^{2} b + {2ab}^{2} + {b}^{3} [/tex]

[tex] {a}^{3} + 3 {a}^{2} b + {3ab}^{2} + {b}^{3} [/tex]

Thus,[tex](a+b)^3=a^3+3a^2b+3ab^2+b^3[/tex]

Thus, in case of multiplication of a binomial or a trinomial by a binomial or a trinomial each term of the binomial or the trinomial should multiply each term of the given binomial or the trinomial and if needed, simplification should be performed.

Answer:

38 minutes

Step-by-step explanation:

Yards covered in a minute = 4850/20 = 242.5

Time needed to cover 9215 yards = 9215/242.5 = 38 min