(06.05 MC)
A juice company did a survey among 100 customers to find their juice preferences. The customers
were asked about their preferences for apple or orange juices. Out of the total 35 people who liked
apple juice, eight also liked orange juice. There were 20 people who liked orange juice.
Part A: Summarize the data by writing the values that the letters A to l in the table below represent.
(5 points)
Like apple juice
Do not like
apple juice
Total
A
B
с
Like orange juice
D
E
Do not like
orange juice
F
H
G
Total
I
Part B: What percentage of the survey respondents did not like either apple or orange juice? (3
points)
Part C: Do the survey results reveal a greater dislike for apple juice or orange juice? Justify your
answer. (2 points)
(10 points)

interest=4000

amount =6000

time =4yr

principal =6000-4000

=2000

interest=principal×time×rate/100

4000= 2000×4×r/100

4000=8000×r/100

r=8000-4000/100

r=2000/100

r=20

Answer:

12.5 %

Step-by-step explanation:

I = PRT

I is the interest, P is the Principle, R is the Rate and T is the time

The interest is 6000- 4000 = 2000

2000 = 4000* R *4

2000 = 16000R

Divide each side by 16000

2000/16000 = R

.125 = R

Changing to percent form

12.5 %

Answer:

Step-by-step explanation: i think in my own word x+3<12 is A because it said julie only 3 notebook togerther it make itt less than 12notebook

Answer:

the correct answer is C

Step-by-step explanation:

first step you change the x and y powers to the square root(showing in the pic).

second the number outside of the parenthesis times the numbers inside the parenthesis and then you just figure it out how it works...

Answer:

10 miles

Step-by-step explanation:

6 in 24 min 6÷24=4

60÷6 =10

=======================================================

Here's one approach:

(6 miles)/(24 minutes) = (x miles)/(60 minutes)

6/24 = x/60

6*60 = 24*x

360 = 24x

24x = 360

x = 360/24

x = 15

She travels 15 miles in 60 minutes (aka 1 hour). So we can say her speed is 15 mph.

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

Here's another approach:

If she travels 6 miles in 24 minutes, then her unit rate is distance/time = 6/24 = 1/4 = 0.25 miles per minute.

So if she travels for 60 minutes, then she'll cover a distance of 60*0.25 = 15 miles

Answer:

25

Step-by-step explanation:

[tex]a^2 + b^2 = c^2[/tex]

[tex]24^2 + 7^2 = x^2[/tex]

[tex]576 + 49 = x^2[/tex]

[tex]x ^ 2 = 625[/tex]

[tex]x = 25[/tex]

Answer:

Using Pythagoras theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex](x)^{2} =(24)^{2}+(7)^{2}[/tex]

[tex]x^{2} =576+49=625[/tex]

[tex]x=\sqrt{625} =25[/tex]

[tex]x=25[/tex]

OAmalOHopeO

Answer:

y = -2/3x + 3

Step-by-step explanation:

First, we need to calculate the slope of the line. We can do this by using the slope formula using two points:

(y₂ - y₁) / (x₂ - x₁)

If we take the points (-3,5) and (3,1), then: y₂ = 1; y₁ = 5; x₂ = 3; x₁ = -3

Next, we can substitute in values in the equation above to get (1 -5)/(3+3)

** We got 3+3 because it was 3 - (-3), where two negatives equal a positive**

Then, we get, -4/6, which simplifies to -2/3. Our slope is -2/3

After that, we need to find the y-intercept, which is where the line intercepts the y-axis. Here, that is at (0,3).

Therefore, if we put the above information into slope-intercept form:

y = mx + b --> m = -2/3; b = 3

y = -2/3x + 3

Though I don't think that answer choice is there...

Answer: 34+1.50h

Step-by-step explanation:

Algebraic Equation:

The entrance fee to the waterpark is the intial cost for Leah to get in the park. The amount of hours that Leah will spend at the park is a variable.

You need to add the intial cost and the variable amounts together.

34+h

You put the h in the equation because you don't know how long Leah will spend on the raft. You will be multiply by the rate per hour for a raft.

34+1.50h

Therefore the cost for Leah is 34+1.50.

34 + 1.50h

Therefore, Leah’s cost is 34 + 1.50h.

Answer:

The answer is 1

Step-by-step explanation:

9514 1404 393

Answer:

  6 pours

Step-by-step explanation:

Here are two 6-step solutions. The four digits represent the contents of the 9,5,4,2 containers (in that order) after a single pour. The starting condition is 9000.

Solution 1:

Solution 2:

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

Answer:

13.41

Step-by-step explanation:

Hope it helps!

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

[tex]\sqrt{80}[/tex]

= [tex]\sqrt{16(5)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] = 4[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{20}[/tex] + [tex]\sqrt{80}[/tex]

= 2[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex]

Answer:

80 ft

Step-by-step explanation:

width = w

length = w+10

Perimeter of a rectangle

P = 2(l+w)

300 = 2(w+10+w)

300 = 2(2w+10)

Divide by 2

300/2 = 2/2(2w+10)

150 = 2w+10

Subtract 10

150-10 = 2w+10-10

140 = 2w

Divide by 2

140/2 = 2w/2

70 = w

l = w+10

l = 70+10

w = 80

Answer:

x = 26

Step-by-step explanation:

sin x =4/9

Take the inverse sin of each side

sin ^-1 (sin x) = sin^-1(4/9)

x=26.38779

To the nearest degree

x = 26

Answer:

x is 14 and y is 13

Step-by-step explanation:

[tex]{ \sf{(4y - 5) = (3y + 8)}} \\ { \sf{y = 13}}[/tex]

[tex]{ \sf{(x + 12) = 2y}} \\ { \sf{x + 12 = 2(13)}} \\ { \sf{x + 12 = 26}} \\ { \sf{x = 14}}[/tex]

4y-5=3y+8( opposite sides of parallelogram are equal)

or, 4y-5-3y=8

or, 4y-3y=8+5

.•. y=13

now,

x+12=2y

x+12=2*13

x=26-12

.•. x=14

Answer:

80°

Step-by-step explanation:

m<COB = 80°, it's the central angle for arc CB,

so mCB = 80°

Answer:

B

Step-by-step explanation:

The perpendicular is sin(43)*39=21.82. Next tan(32)=x/21.82. x=21.82*tan(32)=13.6

The value of x in the given question is 16.6

A right angle triangle has 3 sides opposite is the side opposite to the angle formed by two adjacent sides.hypotenuse is the largest side and adjacent is the remaining side.

Assuming height of the triangle = y

Sin∅ = opposite/hypotenuse

sin43° = y/39

y= 39sin43°

y = 26.6
From this we will solve the value of x

tan∅ = opposite/adjacent

here adjacent = 26.6 and opposite = x

tan32° = x/26.6

x = 26.6tan32°

x = 16.6

Learn more about Trigonometric ratios here :

https://brainly.com/question/14977354

#SPJ5

Answer:

+0.25

Step-by-step explanation:

Calculation to determine the drift of such a process

Using this formula

Drift=(Increases in stock price*50%)- (Decreases in stock price *50%)

Let plug in the formula

Drift = (0.5)(1.25) + (0.5)(-0.75)

Drift =0.625+ (0.375)

Drift = +0.25%

Therefore the drift of such a process is +0.25

Answer:

Base of the ladder is 3 meters away from the building.

Step-by-step explanation:

Let's use Pythagoras theorem to solve.

Pythagoras theorem says,

[tex]a^{2} +b^{2} =c^{2}[/tex]

Here let horizontal distance is "a''

Vertical distance of window is 4 m

So, b=4

The Rafi leans 5 m ladder against the wall. So, c=5.

[tex]a^{2} +4^{2} =5^{2}[/tex]

Simplify it

[tex]a^{2} +16=25[/tex]

Subtract both sides 16

[tex]a^{2} =9[/tex]

Take square root on both sides

a=±3

So, base of the ladder is 3 meters away from the building.

Answer:

Investment in company P = 12,000

Investment in company Q = 24,000

Step-by-step explanation:

Given that,

Total investment = 36,000

Dividend paid by company P = 11.25%

Dividend paid by company Q = 10.5%

Total return = 10.75%

Now, let investment made in company P be 'a' and company 'Q' be 'b.' So,

A.T.Q.

a + b = 36,000  ...(i)

11.25% of a + 10.5% of b = 10.75% of 36000  ...(ii)

On simplification,

a + b = 36,000

11.25% of a + 10.5% of b = 3870

Now,

11.25% of a + 10.5% of (36000 - a) = 3870

⇒ 0.1125 * a + 0.105 * (36000 - a) = 3870

⇒ 0.1125 a + 3780 - 0.105a = 3870

⇒ 0.1125a - 0.105 a - 3870 - 3780

⇒ 0.0075 a = 90

⇒ a = 90/0.0075

∵ a = 12000

Since, a = P = 12,000

Q = b = (36000 - a)

= 36000 - 12000

= 24,000

Thus,

Investment in company P = 12,000

Investment in company Q = 24,000

Answer:

Amount invested in P = 12,000

Amount invested in Q = 24,000

Step-by-step explanation:

Given:

Amount invested = 36,000 in two companies P and Q

P pays dividend = 11.25%

Q pays dividend = 10.5%

Total return = 10.75%

Find:

Amount invested in each company

Computation:

Total return = 36,000 x 10.75

Total return = 3870

Assume;

Amount invested in P = a

So,

Return in P = a x 11.25%

Return in P = 0.1125a

Return in Q = [36000 - a]10.5%

Return in Q = 3,780 - 0.105a

Total return = Return in P + Return in Q

3,870 = 0.1125a + 3,780 - 0.105a

90 = 0.0075a

a = 12,000

Amount invested in P = 12,000

Amount invested in Q = 36,000 - 12,000

Amount invested in Q = 24,000

Answer:

[tex]7.2b+6.5>4.8b-8.1[/tex]

Multiply both sides by 10

[tex]72b+65>48b-81[/tex]

Subtract both sides by 65

[tex]72b>48b-146[/tex]

Subtract both sides by 48b

[tex]24b>-146[/tex]

Divide both sides by 24

[tex]b>-\frac{73}{12}[/tex]

OAmalOHopeO

Answer:

Step-by-step explanation:

The function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]

The parent function is given as:

[tex]f(x) =|x|[/tex]

The transformed function is given as:

[tex]g(x) =|x + 1| - 7[/tex]

Both functions are absolute value functions, and an absolute value function is represented as:

[tex]y=a| x-h |+k[/tex]

Where, the vertex of the function is:

[tex]Vertex = (h,k)[/tex]

By comparing [tex]y=a| x-h |+k[/tex] and [tex]g(x) =|x + 1| - 7[/tex], we have:

[tex](h,k) = (-1,-7)[/tex]

[tex]a= 1[/tex]

Because (a) has a positive value (i.e. 1) and (h) is negative, then the vertex represents a minimum.

This also means that, the function will decrease from infinity, till it gets to the x-coordinate of the vertex.

Hence, the function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]

Read more about transformation at:

https://brainly.com/question/5757291

Answer:

- 2864

Step-by-step explanation:

Given that,

The number is of 4 digits

All are different

The sum of the 4 digits = 20

Hundred's digit is twice than one's digit

A.T.Q.

Let the unit digit be 4. So, the hundred's digit would be 4 * 2 = 8

Now, we have

_8_4

We know that the sum of four digits is 20. Thus,

_ + 8 + _ + 4 = 20

∵ _ + _ = 20 - 12 = 8

The possible numbers must make a sum of 8. Thus, one possibility can be 2 and 6.

Therefore, the number can be

2864  

( 2 + 8 + 6 + 4 = 20)

If φ = arccos(-5/13), then cos(φ) = -5/13. Since this is negative, you know φ is an angle that terminates either the second or third quadrant.

arctan(x) has a range of -π/2 < arctan(x) < π/2, which is to say that arctan(x) is an angle that terminates in either the first or fourth quadrant.

These quadrants don't overlap, so there is no solution to the equation.

Answer:

5 corners : 108 degrees

6 corners : 120 degrees

Step-by-step explanation:

there are (at least) 2 different views to get the result :

officially (usually the teachers' preferred method) you consider a polygon as a combination of non-overlapping triangles. a polygon with n corners or edges we can split into n-2 such triangles.

each triangle has an angle sum of 180 degree.

so, the polygon angle sum is (n-2)×180 degrees.

and each (internal) angle is then (n-2)×180/n

n = 5 : (5-2)×180/5 = 3×36 = 108 degrees

n = 6 : (6-2)×180/6 = 4×30 = 120 degrees

the second approach (I prefer) goes after the external angles of the polygon.

the sum of all external angles in any polygon is 360 degrees (a full circle).

for n corners/edges each external angle is 360/n.

and the internal angle is then the complement to 180 degrees = 180 - 360/n

n = 5 : 180 - 360/5 = 180 - 72 = 108 degrees

n = 6 : 180 - 360/6 = 180 - 60 = 120 degrees

Answer:

x2 - 16x + 28 = (x - 2)(x - 14)

Step-by-step explanation:

Even though you don't mention any factors below, it is easy to tell that the above-given two factors must be the ones you are looking for.

Answer:

kun vannu vayeko hoo bujena ni saathi yo question complete xa ta.

Answer:

Is the collection of nice Nepali songs a set ? Why ?

=⟩ yes the collection of nice Nepali songs a set Because it can be collected on bracket .

Answer:

(x, y ) → (x + 4, y - 1 )

Step-by-step explanation:

Consider the coordinates of K and K'

K (- 3, 5 ) , K' (1, 4 )

x- direction : - 3 → 1 is + 4 units to the right

y- direction : 5 → 4 is - 1 units down

translation rule is (x, y ) → (x + 4, y - 1 )

V = IR

2 = 1.5 x R

R = 2 / 1.5

R = 1 1/3 ohms

Hope this helps!