help please now

The table below shows data from a random survey of juice preferences.


Types of Juice Number of People

Orange --------- 75

Apple --------- 110

Kale ---------- 65







Part A


Complete the probability model by listing the probabilities for each event based on the data recorded in the table.



S = { O, A, K}

Events ------------ Probabilities

Prefer orange ----- P(orange)= __ %

Prefer apple ------ P(apple)= __ %

Prefer kale -------- P(kale)= __ %



Part B

Based on the data, estimate how many of 400 juice drinkers will prefer apple juice.


The number of juice drinkers who prefer apple juice is __

Answer:

52

Step-by-step explanation:

This is an isosceles triangle, so the base angles will be the same. Then you know that all of your angles will add up to 180.

Your equation can be:

2(2x+2) + (3x + 1) = 180

x = 25

S = 2(25) + 2

S = 52 degrees

Answer:

52

Step-by-step explanation:

Because SR = TR, ∡S =∡T= 2x+2

For any triangle sum of all angles = 180°.

2x+2 +2x+2+3x+1= 180

7x + 5 =180

x = 25°

∡S =2x+2=2*25+2 = 52°

Answer:

5 helmets

31 caps

8.25, 16.50 24.75 33 x 10 = 330

330/2 = 165 = 20 helmets

363.50 - 165 = 198.50

5 x 21.50 = 107.50 (+ 11 x 8.25 = 16.50+24.75 +24.75+24.75 = 49.50+41.25) =£91 + 107.50 =  198.50

20+11 = 31

31 caps

5 helmets

Step-by-step explanation:

There are 10 helmets did the coach purchase.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A baseball coach purchased a total of 28 helmets and caps.

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Let number of helmets = x

And, Number of caps = y

Here, A baseball coach purchased a total of 28 helmets and caps.

Hence, We get;

⇒ x + y = 28  ..(i)

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Hence, We get;

⇒ 21.50x + 8.25y = 363.50

⇒ 5 (4.30x + 1.65y) = 5 × 72.7

⇒ 4.30x + 1.65y = 72.7  .. (ii)

Multiply by 4.30 in (i) ad subtract from (ii);

⇒ 4.30x + 4.30y - 4.30x - 1.65y = 120.4 - 72.7

⇒ 2.65y = 47.7

⇒ y = 18

And, From (i);

⇒ x + y = 28

⇒ x + 18 = 28

⇒ x = 10

Hence, Number of helmets = 10

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Answer:

The answer is C.

[tex]n = 2t - 1[/tex]

Step-by-step explanation:

You can simply determind the answer by placing all pair of value n and t in the equation, one by one.

First, try the answer A, you should get as following;

[tex]n = t + 2 \\ 1 = 1 + 2[/tex]

and try to see if it is true or not,

in this case,

1 will never equal 1 + 2 (1 ≠ 1 + 2)

Therefore A is not the Answer. Try going through all other choices, and you will find the answer. The calculation is very simple, you probably won't need a calculator!

[EDIT]

i just realize this answer is wrong sorry

Answer:

idk

Step-by-step explanation:

idk

Answer:

that is to hard

Step-by-step explanation:

Answer:

1. (B)P(x) = -3(x-4)(x - 140)

2. $140

Step-by-step explanation:

(1) Given the profit function, P(x) where x is the price, the expression which reveals the price which gives a profit of  zero without changing the form of the expression is:

P(x) = -3(x-4)(x - 140)

This is as a result of the fact that equating it to zero immediately yields the zeros of the quadratic polynomial.

(2)When the profit, P(x)=0, then using the expression above we have:

[tex]P(x) = -3(x-4)(x - 140)\\Since -3\neq 0, then:\\x-4=0$ or x-140=0\\x=4 or x=140[/tex]

A price of $4 or $140 as the case may be gives a profit of zero.

Answer:

5

Step-by-step explanation:

(3+15+21+13)/4 = 13

13 - 3 = 10

15 - 13 = 2

21 - 13 = 8

13 - 13 = 0

(10+2+8+0)/4 = 5

Answer:x=57

Step-by-step explanation:

Answer:

30.5

Step-by-step explanation:

Measure of angle A and B equals 110 because of how triangles work

Therefore 3x + x + 4 = 110

4x + 4 = 110

Subtract 4 from each side

4x = 106

Divide both sides by 4

x = 26.5

Measure of angle ABC equals 26.5 + 4 = 30.5

Answer:

30 !

Both are right triangles so you can do 4*3= 12 and then 12/2= 6

then 6*8=48 and 48/2=24

24+6 =30!

hope this helps ! :)

Complete question:

Between the time iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14°.

What is the net change in the temperature relative to when lko woke up?

Answer:

The net change in the temperature relative to when lko woke up =

[tex]\bold{-3}[/tex] °

Step-by-step explanation:

Given that between his wake up time and lunch time, temperature rose by  11°. Let the new temperature be  [tex] \bold{T1} [/tex] and let the initial temperature(temperature before wakeup time) be  [tex] \bold{T} [/tex]

Since the temperature rose by 11°, the new temperature after Iko woke up, T1, would be derived by adding 11° to the initial temperature.

i.e,  T1 = T + 11......................(1)

At bed time the temperature dropped by 14°. Therefore, the temperature would now be 14 less than the new temperature T1. It is expressed as:

T1 + (-14).......................... (2)

Let's substitute T + 11 for T1 in equation 2, we have:

T + 11 + (-14)

To find the expression for the net change in temperature, let's subtract the initial temperature T, from (T+11 -14) i.e,

ΔT = (T + 11 - 14) - T

Solving further, we have:

ΔT = T - T + 11 - 14

ΔT = 11 - 14

ΔT = -3°

Therefore, the net change in the temperature relative to when lko woke up is = -3°

Answer:

B is correct

You can double check it! :)

Hope this helps!

Tips:

Select a condition, check the 4 tables and eliminate 2 tables at once.

Then check the remaining 2 tables.

:)

Answer:

B. W

Step-by-step explanation:

College & university: 6

College & not university: 17

Not college & university: 28

Not College & not university: 9

1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.

1.  In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.

Total = 30 × 2 + 42 × 6 =  60 + 252 = 312 pints

Answer: 312 pints

2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.  

312 pints / 16 pints per container = 19.5 containers

We round up since we need a whole number of containers.

Answer: 20 containers

We can't really see question 3.

Answer:

Quadrant 2

Step-by-step explanation:

Sin = opp/hyp and opp is positive in quadrants 1 & 2.

Tan = opp/adj - we need one of these values to be positive and the other negative. adj is negative in quadrants 2 & 3.

Quadrant 2 is found in both of the scenarios that we need to occur.

Step-by-step explanation:

In the 1st question

Total boxes = 6

Shaded boxes = 2

Probability = 2/6 = 1/3

Answer:

≈ 70.4 cm

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , thus

C = 2 × 3.142 × 11.2 ≈ 70.4 ( to 1 dec. place )

Answer:

b,c,d

Step-by-step explanation:

I just did the assignment

Answer:

b, c. d

Step-by-step explanation:

Answer:

Because there are 24 ducks total and they are separated equally into three categories, we can figure out that there are 24 / 3 = 8 ducks of each color. This makes the probability of pulling a red/blue duck would be (8*2)/24 or 16/24. If we want this to be a percentage we can just solve 16/24*100 and it will give us 66.66...%

Answer:

I don't get your question but if you are asking. How long is 1 hour and a half?

The answer for this question is 15 minutes.

Step-by-step explanation:

How long is 1 hour and a half?

15 minute is the right answer

Answer:

9/20, or 0.45 mile.

Step-by-step explanation:[tex]\\[/tex]

To find the area of a rectangle, multiply length times width. In this problem we are given both the length and width.

[tex]\frac{9}{10}[/tex] × [tex]\frac{1\\}{2}[/tex] is just 9/20, which is 0.45.

The probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

The probability:

P(Math/Music') = P(Math∩Musci')/P(Music')

Total number of sample = 22+80+45+38 = 185

Probability of liking math:

P(Math) = (22+80)/185 =0.55

Probability:

P(Music) = (45+80)/185 = 0.68

P(Music') = 1-0.68 = 0.32

Probability of liking math and liking music:

P(Math∩Music) = 80/185 = 0.43

Now, P(Maths/Music) = (0.55 - 0.43)/0.32 = 0.375 ≈ 0.37

Thus, the probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.

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Answer:

f(1) = 36

f(n) = f(n-1) - 5.

Step-by-step explanation:

f(1) = 41 - 5 = 36.

f(n) = f(n - 1) - 5.

Answer:

The first one dividing the number by 100

Step-by-step explanation:

Answer:

[tex]36a^5[/tex].

Step-by-step explanation:

In a right angle triangle,

Length of one leg [tex]=12a^5[/tex]

Length of other leg [tex]=9a^5[/tex]

According to the Pythagoras theorem,

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

Using Pythagoras theorem,

[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]

[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]

[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Perimeter of right angle triangle is the sum of all sides of the triangle.

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]  units.

Therefore, the required expression is [tex]36a^5[/tex].

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

[tex]^{a}n = ^{a}1 (n - 1)d[/tex]

Since we want to determine the 76th term, we are going

to substitute 76 in for n in our explicit formula.

Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.

Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have [tex]^{a} 76 = 17 + 150[/tex].

Now just add to find that [tex]^{a} 76 = 167[/tex].

So the 76th term is 167.

Answer:

it is c

Step-by-step explanation:

Answer:

I'm not sure if you need help but...

Step-by-step explanation:

6+6=12

Answer:

22

Step-by-step explanation:

4x(3-2)+18

4x(1)+18

4+18

22

4x+18

Answer:

22

Step-by-step explanation:

4 x (3-2) + 18

PEMDAS says parentheses first

4 x (1) + 18

Then multiply and divide

4 +18

Then add and subtract

22

Answer:

49 cm²

Step-by-step explanation:

The area for a square is Area = length x width, and if the square name tag is 7cm long on "each side", that means that both the length and the width are 7cm.

Plug this into the formula to get A = 7cm x 7cm.

This can be simplified to A = 49cm².

Answer: 49 cm^2

Step-by-step explanation:

7 x 7 = 49

Answer:

-7.5

Step-by-step explanation:

Simplify

-4b - 5 + 2b = 10

-2b - 5 = 10

-2b = 15

b = -7.5

Answer:

-7.5

Step-by-step explanation:

-4*- 7.5 =30

2*-7.5=   -15

30-5-15=10

Answer:

I'm pretty sure it's "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."

Step-by-step explanation:

Answer:

A. "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."

Step-by-step explanation:

Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.

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