Answer: If 34% of the mixed fruit juice is apple juice, then 66% of it is a combination of other fruit juices. We can assume that the ratio of apple juice to other fruit juices remains the same in the ice cream and mixed fruit juice mixture.
Let the volume of ice cream in each batch be 3x litres and the volume of mixed fruit juice be 2x litres. Then the total volume of mixture in each batch is 5x litres.
If 34% of the mixed fruit juice is apple juice, then the volume of apple juice in each batch is 0.34 × 2x = 0.68x litres. The volume of other fruit juices in each batch is 2x − 0.68x = 1.32x litres.
The ratio of ice cream to mixed fruit juice is 3 : 2, so we have:
3x : 2x = ice cream : mixed fruit juice
Simplifying, we get:
ice cream = 1.5 × mixed fruit juice
Substituting the values we obtained earlier, we have:
3x = 1.5 × 2x
x = 0.75
Therefore, the volume of ice cream in each batch is 3x = 2.25 litres, and the volume of mixed fruit juice is 2x = 1.5 litres.
To make 1.5 litres of mixed fruit juice, we need 0.68 litres of apple juice and 0.82 litres of other fruit juices.
To make 12.5 litres of smoothies, we need 2.25 litres of ice cream and 10.25 litres of mixed fruit juice. Of this, 0.68 litres is apple juice and 9.57 litres is other fruit juices.
Therefore, to make 12.5 litres of smoothies, we need 0.68/1.5 × 12.5 = 5.67 litres of apple juice.
To make 51 litres of apple juice, we can make a maximum of 51/5.67 ≈ 9 batches of smoothies.
An experimental psychologist plans a study in which a crucial step is offering participants a food reward. It is important that the three food rewards be equal in appeal. Thus, a prestudy was designed in which participants were asked which of the rewards they preferred. Of the 60 participants, 16 preferred cupcakes, 26 preferred candy bars, and 18 favored dried apricots. Do these scores suggest that the different foods are differentially preferred by people in general? (Use the .05 significance level.)
You must use all five steps in hypothesis testing:
Restate the question as a research hypothesis and a null hypothesis about the populations.
Determine the characteristics of the comparison distribution.
Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected.
Determine your sample’s score on the comparison distribution.
Decide whether to reject the null hypothesis.
Answer:
Step-by-step explanation:
From the information given:
[tex]\mathbf{H_o: there \ is \ no \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]
[tex]\mathbf{H_a: there \ is \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]
The characteristic of the comparison is a uniform distribution.
Since there are three categories from the data, then: the data obeys a U(0,3) distribution. However, supposed it happened that different food had the same appeal, thus, there will be uniform distribution in the preference score.
[tex]Degree \ of \ freedom \ df = n - 1 \\ \\ df = 3 - 1 = 2[/tex]
At 0.05;
Thus, at 0.05 and df of 2, the cutoff sample score at which [tex]H_o[/tex] will be reject is the critical value [tex]\mathbf{X_{0.05,2}^2 \ which \ is \ = 5.991}[/tex]
Prefered Observed Expected Expected (O - E) (O - E)²/ E
frequency frequency proportions
Cup cakes 16 20 0.333 -4.00 0.800
Candy bars 26 20 0.333 6.00 1.800
Dried apricots 18 20 0.333 -2.00 0.200
Total 60 20 1 -2.00 2.800
Thus the sample score is [tex]\mathbf{X^2_{observed} = 2.800}[/tex]
Decision rule: To reject the null hypothesis if the observed test statistic is higher than the critical value.
Conclusion: We fail to reject the null hypothesis and conclude that different foods have the same appeal to different people.
En un paralelogramo de tiene ?
Answer:
Elementos y propiedades del paralelogramo
Lados: el paralelogramo tiene cuatro lados, siendo iguales y paralelos dos a dos (a y b). Ángulos: los ángulos interiores son iguales dos a dos, siendo iguales los ángulos no consecutivos (α y β). Como en todo cuadrilátero, sus ángulos interiores suman 360° (2α + 2β = 360°)
Step-by-step explanation:
Elements and properties of the parallelogram
Sides: the parallelogram has four sides, two by two (a and b) being equal and parallel. Angles: the interior angles are equal two by two, the non-consecutive angles (α and β) being equal. As in any quadrilateral, its interior angles add up to 360 ° (2α + 2β = 360 °) (English version lol)
Miguel has six times David’s money, while Lisbeth has two dollars less than David. The sum of their money totals $77. To the n was rest penny, how much money does David have?
Answer:
23 or 24
Step-by-step explanation:
por cada persona que tiene gripe,hay 6 personas que solamente tienen sintomas de gripe. si un medico ve a 40 pacientes, calcula aproximadamente cuántos pacientes esperas que tengan solamente sintomas de gripe.
Fill in the blank 5x20=5x2x blank
Answer:
5×20 = 5×2×_
100 = 10×_
100 = 10 × _10_
ans 10
C) Graph the equation x = 2.
Step-by-step explanation:
debes de checar dónde está la x ya la viste okey ve a donde dice -2 y pon un punto
x less than two time x.
Answer:
x < 2x
Step-by-step explanation:
The data set shows the lengths, in minutes, of different musical performances.
36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20
What is the interquartile range (IQR) of the data set?
Answer: It has to be 22.5
Step-by-step explanation: Since this is a quiz, I won't tell you how to solve it, i'll give you some clues. But with what I know is; you have to find the (Q1) and (Q3) Then see what the difference is between the quartiles, and that should be your answer.
The interquartile range (IQR) of the data set is 19.
It is required to find the interquartile range (IQR) of the data set.
What is statistics ?Statistics are defined as numerical data, and is the field of math that deals with the collection, tabulation and interpretation of numerical data. It is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
Given:
The date are arranged from ascending order
9,14,15,18,20,22,29,36,36,42,45,51
Now you have one lower half with the numbers 9,14,15,18,20,22 and an upper half with the numbers 36,36,42,45,51.
As you can see in the figure, you have to find the median for these lower and upper halfs, so you have:
[tex]Q_{1} =16\\\\Q_{3} =35\\[/tex]
Now we can find the interquartile range that is:
[tex]IQR=Q_{3} -Q_{1}\\\\IQR=35-16\\\\IQR=19[/tex]
Therefore, the interquartile range (IQR) of the data set is 19.
Learn more about statistics here:
https://brainly.com/question/23091366
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I don’t remember doing this so can someone please help me!!!
Answer:
Step-by-step explanation:
10. m-56
11. 4r+3
Question 3 (2 points) (06.01) What is the value of the expression 24 + 32? (2 points) Blank 1:
The answer is 56....
hope it helps.
25 would be the answer. Here's what you need to do!! :)
-
-
-
Explanation:
I think you meant [tex]2^{4}[/tex] and [tex]3^{2}[/tex]. With exponents, you don't add the number and the exponent. What you have to do is the first number times itself, and let's use number one as an example. So, since it's four you have to do this.
-
-
[tex]2^4[/tex]= 2 x 2 x 2 x 2= 16
and for problem number two, it's the same thing but different numbers.
[tex]3^{2}[/tex]= 3 x 3 x 3= 9
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-
now, all you have to do is add [tex]16+9= 25[/tex]
Again, the answer is 25. Hope this helps anybody who's currently working on this!! <3
Answer and solution plse :)
Answer:
there are 8 prime numbers.
Answer:
B) 6
answer is b (6)
7,17,37,67,97,47
brain size for football players
3, 4, or 5, I think, but I'm not sure.
PLEASE ANSWER FAST!!
Simplify: 12.9 - 2.8 - 7.2 + 9.1
17.6
-6.2
26.4
12
Answer:
12
Step-by-step explanation:
After simplifying, how many terms are there in the expression 2x - 5y+3+ x?
3
4
5
6
Answer:
3
Step-by-step explanation:
Adding 2x and x gets you 3x-5y+3. Counting each term gives you three seperate terms, meaning your answer is 3.
Answer:
answer is 3
Step-by-step explanation:
adding 2x and x gets you 3x-5y+3
1 4
. Find the value of discriminant of the quadratic equation 5m? - m = 0
Write down the formula of median
Answer:
[tex]D = 1[/tex] --- Determinant
[tex]M = \frac{N+1}{2}th[/tex] --- Median
Step-by-step explanation:
Given
[tex]5m^2 - m = 0[/tex]
Required
Calculate the determinant (D)
This is calculated using
[tex]D = b^2 - 4ac[/tex]
In [tex]5m^2 - m = 0[/tex]
[tex]a = 5[/tex], [tex]b = -1[/tex] and [tex]c = 0[/tex]
So, we have:
[tex]D = b^2 - 4ac[/tex]
[tex]D = (-1)^2 - 4 *5*0[/tex]
[tex]D = 1 - 0[/tex]
[tex]D = 1[/tex]
(b) Median Formula.
Median (M) is calculated using:
[tex]M = \frac{N+1}{2}th[/tex] item
a salesperson earns a commission of $476 for selling $3400 in merchandise. what is the commission rate?
Answer:
Step-by-step explanation:
$476/($3400) = 0.14 = 14%
Its mix and match for intergers
Answer:
let me help you,first let do the red one:
-9(2)=-18
2-9=-7
-5+12=7
-2(-8)=16
-36÷12=-3
32÷(-2)=-16
-9-(-4)=-5
-7+(-3)=-10
9+(-6)=3
-3(5)=-15
now the green one:
-8-10=-18
19+(-3)=16
-12÷(-4)=3
5(-1)=-5
-8+5=-3
-22+7=-15
-17+10=-7
-8(2)=-16
-8-2=-10
-35÷(-5)=7
Step-by-step explanation:
For these expression you will be able to find the same number.
What is the slope of a line that passes through the points (-3, 2) and (-6, 5)
Answer:
3/2
Step-by-step explanation:
Y2-Y1
_____
X2-X1
= 5-2
____
-6-(-3)
=3/2
For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be less than 4 or greater than 8.
Answer:
the probability is 3/6 or 1/2
Step-by-step explanation:
GUYS I WILL GIVE BRAINLIEST IF U HELP ME PLS
What is the value of |26| - |-4| ?
Answer:
22
Step-by-step explanation:
26=26
-4=4
26-4=22
What is the y intercept for y=6x+7/2
Complete each ratio table.
28
42
56
3.5
14
112.8
56.4
14.1
2,820
1,410
Answer: i don’t know
Step-by-step explanation:
Answer:34
Step-by-step explanation:
If a movie theater sells 400 tickets for a total of
$6800, how much would they make if they sold 1500
tickets?
Answer:
they would make $25,500
Step-by-step explanation:
6,800/400=17
1,500*17=25,500
answer :$25,500
Graph
x= -7y
Please help
Answer:
? what do you mean by graph?
Step-by-step explanation:
Subtract the expressions.
(5j-2q+2/5) - (4-3j-1/2q)
The answer is,
[tex]8j - \frac{3q}{2} - \frac{18}{5} [/tex]
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = x + 12
Step-by-step explanation:
y -16 = 1(x-4)
y -16 = x -4
y =x +12
Answer:
its y = x + 12 I think I hope it helps
Step-by-step explanation:
because
4 + 12= 16
5 + 12 = 17
6 + 12 = 18
7 + 12 = 19
Carol bought bananas for $0.50 per pound and 1 pint of strawberries for $2.25. If Carol paid $4.10, how many pounds, p , of bananas did she buy?
Which equation can be used to find p ?
A. .50p+2=4.10
B. .50p+2.25=4.10
C .50+2.25p=3.85
D. 2.75+.25p=4.10
Answer:
B. .50p+2.25=4.10
Step-by-step explanation:
The equation that need to determine the p is shown below:
Given that the bananas would be bought for $0.50 per pound and 1 pint of strawberries for $2.25
Now the total amount paid by Carol is $4.10
So, the equations would be
0.50p + 2.25 = 4.10
Therefore the option b is correct
calculate the area of a circle with a diameter of 3m?
with Solution =
Answer:
Area of circle = pie r²
= 3.14 × 2.25
=7.065
Answer: 7.07cm²
Step-by-step explanation: diameter=3
radius=d/2
=3/2
=1.5cm
area=πr²
=22/7 x 1.5 x 1.5
=22/7 x 2.25
=99/2 ÷ 7
=99/2 x 1/7
=99/14
PLEASEEEE HURRYYY
!!!!!!
Michael has a total of 100 problems he needs to solve. After
working from 3:00 PM to 5:00 PM, he only had 40 problems
left to solve.
What was Michael's average rate of solving problems between
3:00 PM to 5:00 PM?
problems/hour
Enter the answer
Answer:
60 more problems left
Step-by-step explanation:
100-40=60
What is 5/6 plus 7/8?
Answer:
1 17/24
Step-by-step explanation:
Answer:
41/24 or 1 17/24
Step-by-step explanation: