Answer:
122.5
Step-by-step explanation:
If it triples her followers per 6 months then it gives her half of her followers in one month. So 35 times 3.5 which is 122.5
After \(7\) months, Ashton will have \(25,515\) followers.
What is modelling ?Modelling is the process of creating a mathematical representation of a real-world scenario to make a prediction or provide insight.
We have,
Number of followers \(=35\)
So, Every month increase is triple i.e. \(3\) times for next \(6\) months.
So,
According to the question,
Every month increase \(=\ 3\ *\ Current\ Follower\)
So,
Followers after \(7\) months \(= 35*(3)^6\)
Because followers are increasing at the rate of three times per month,
So,
Followers after \(7\) months \(= 35*(3)^6=25,515\)
Hence, we can say that After \(7\) months, Ashton will have \(25,515\) followers.
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A method of assigning probabilities that assumes the experimental outcomes are equally likely is referred to as the
a. objective method
b. subjective method
c. experimental method
d. classical method
The method of assigning probabilities that assumes the experimental outcomes are equally likely is referred to as the classical method. This method is also known as the a priori method. The classical method assumes that all outcomes in the sample space are equally likely to occur, meaning that each outcome has an equal probability of occurring.
The method of assigning probabilities that assumes the experimental outcomes are equally likely is referred to as the classical method (option d). In the classical method, each outcome in an experiment has an equal chance of occurring, and the probability of a particular event happening is determined by the number of favorable outcomes divided by the total number of possible outcomes. This approach is most suitable for situations where there is limited or no prior information about the likelihood of different outcomes, and it relies on the principle of indifference or symmetry.
For example, when tossing a fair coin, the classical method assumes that the probability of getting a heads or tails is 0.5 or 50%. Similarly, when rolling a fair dice, the probability of getting any of the six faces is assumed to be 1/6 or 16.67%. The classical method is commonly used in theoretical probability, which involves predicting the likelihood of outcomes based on assumptions and mathematical calculations rather than experimentation.
In contrast, the objective method (option a) relies on observed data from previous similar experiments or events to determine probabilities, while the subjective method (option b) relies on an individual's personal beliefs, intuition, or opinions to estimate probabilities. The experimental method (option c), on the other hand, refers to the process of conducting experiments and collecting data to determine probabilities.
The classical method is a straightforward and widely applicable approach to probability, especially when dealing with simple problems involving fair games, combinatorics, or situations with symmetrical outcomes. However, it may not always provide the most accurate or realistic probability estimates when dealing with complex, real-world scenarios where outcomes are not equally likely or where prior information is available.
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A plumber has been working at 4 customer sites. He has completed 1/4, 50%, 12.5%, 3/4 and of his work at the sites. Which list shows the work completed at the sites, in order from greatest to least? 1. 12.5%, 1/4, 50%, 3/4 2. 3/4, 50%, 1/4, 12.5% 3. 3/4, 12.5%, 1/4, 50% 4. 1/4, 50%, 3/4, 12.5%
Answer:
2. 3/4, 50%, 1/4, 12.5%
Step-by-step explanation:
Work completed at the 4 sites = 1/4, 50%, 12.5%, 3/4
1/4 = 0.25
50%
= 50/100
= 0.5
12.5%
= 12.5/100
= 0.125
3/4
= 0.75
in order from greatest to least?
3/4, 50%, 1/4, 12.5%
1. 12.5%, 1/4, 50%, 3/4
2. 3/4, 50%, 1/4, 12.5%
3. 3/4, 12.5%, 1/4, 50%
4. 1/4, 50%, 3/4, 12.5%
Question 4 of 10; can someone help me.
Can someone help me with this question please? :)
Answer:
We need 8 and 3/4 cups of blueberries to make 7 batches of pancakes.
Step-by-step explanation:
A proportion is basically a statement that says two fractions are equal to each other. It's usually used to state the equivalence of two ratios, and is often in problems such as these, where you need to prove that the ratio of the original two objects are the same as the new two objects.
Let us set x to be the new amount of cups of blueberries.
Hence, we have to find the original ratio first. Let's say we want to use the ratio of cups of blueberries to batches to be the measuring stick (a quick tip would be to see what information is provided for the new ratio and use that information as the denominator). That ratio would be:
\(\frac{1 \frac{1}{4}}{1}\)
\(= \frac{\frac{5}{4}}{1}\)
\(= \frac{5}{4}\)
So, now that we know the ratio of cups of blueberries to batches, we can use that information to construct a proportion:
\(\frac{5}{4} = \frac{x}{7}\)
Great! Now it's just a matter of solving this equation:
\(\frac{5}{4} = \frac{x}{7}\)
\(4x = 5 \cdot 7\)
\(x = \frac{35}{4}\)
\(x = 8 \frac{3}{4}\)
Finally, we can know that we need 8 and 3/4 cups of blueberries to make 7 batches of pancakes.
Hope this helped!
help pls! (it's a pic)
Answer: Choice C
x+y = 28
3x+4y = 100
===================================================
Explanation:
x and y are placeholders for nonnegative whole numbers.
Specifically,
x = number of three point questions
y = number of four point questions
Since we have 28 questions total, this must mean x+y = 28. That forms the first equation in our system of equations.
------------
Now let's form the second equation:
x = number of three point questions
3x = points we get from all the three point questions
y = number of four point questions
4y = points we get from all the four point questions
3x+4y = all points possible
3x+4y = 100 is the second equation
------------
So we have this system
\(\begin{cases}x+y = 28\\3x+4y = 100\end{cases}\)
which fits the conditions in the instructions.
A truck is carrying 6 cars weighing an average of 4,500 pounds each. What is the total weigh in tons of the cars on the truck?
Answer:
Step-by-step explanation:
6 * 4500= 27000
Answer:
27,000 pounds.
Step-by-step explanation:
Please help me with this
Answer:
X=90-66
X=24 is the answer
A carpenter lays 18 square feet of tile in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?
Answer:
x=24
Step-by-step explanation:
there are different ways to solve the problem
set up a proportion:
16/(2/3)=x/1
cross multiply
(2/3)x=16
(3/2)(2/3)x=(3/2)(16)
x=24 square feet per hour
a carpenter lays 16 square feet in 40 minutes (2/3 of an hour)
this means he lays 4 square feet every 10 minutes
8 square feet in 20 minutes
12 square feet in 30 minutes
24 square feet in 60 minutes
Express the formula d=rt in terms of the time,t. Use your formula to find the time when the distance is 40 and the rate is 8.
The expression for d=rt in terms of the time is t = d/r; t = 5.
What is time? Time can be defined as a continuous and ongoing sequence of events that occur consecutively from the past to the present to the future. Time is used to measure, measure or compare the duration of events or the intervals between them, and even the sequence of events. Time is a useful concept that we use in our daily life. We have to watch when we cook, play, study, go to school, meet someone, etc. So knowing the right time is very important. Time is usually the answer to when an event happens or happened. The concept of time determines when a certain event occurs, has occurred or will occur. Time is a measurable quantity and is also infinite. The time is calculated in seconds, minutes, hours, days, months and years.Therefore,
In the equation d=rt
t = d/r
when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
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The points L, M and N are such that LMN is a straight line.
The coordinates of L are (-3, 1)
The coordinates of M are (4, 9)
Given that LM: MN=2:3.
find the coordinates of N.
The coordinates of point N are approximately (-0.2, 4.2).
To find the coordinates of point N, we need to use the ratio given for LM:MN and apply it to the coordinates of points L and M.
The given ratio is LM:MN = 2:3, which means that the distance between point L and point M is two parts, and the distance between point M and point N is three parts.
Let's calculate the coordinates of point N:
Step 1: Calculate the x-coordinate of point N.
The x-coordinate of point M is 4, and the x-coordinate of point L is -3.
The difference between the x-coordinates of M and L is (4 - (-3)) = 7.
To split this difference into two parts (2:3), we multiply it by 2/5 (since the ratio 2:3 is equivalent to 2/5:3/5).
x-coordinate of N = x-coordinate of L + (2/5) * (difference in x-coordinates of M and L)
= -3 + (2/5) * 7
= -3 + 2.8
= -0.2
Step 2: Calculate the y-coordinate of point N.
The y-coordinate of point M is 9, and the y-coordinate of point L is 1.
The difference between the y-coordinates of M and L is (9 - 1) = 8.
To split this difference into two parts (2:3), we multiply it by 2/5.
y-coordinate of N = y-coordinate of L + (2/5) * (difference in y-coordinates of M and L)
= 1 + (2/5) * 8
= 1 + 3.2
= 4.2
Therefore, the coordinates of point N are approximately (-0.2, 4.2).
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A grain of rice weighs about 0.03 g.
a) Write the mass of a grain of rice in standard form.
In the USA, about 4.3 million tonnes of rice are eaten each year.
b) 1 tonne = 1 million grams
What is the mass, in grams, of rice eaten in the USA each year?
Give your answer in standard form.
a) The mass of a grain of rice in standard form; 0.3×10⁻¹ gram.
b) The mass, in grams, of rice eaten in the USA each year: 4.6×10¹² grams.
What is described as scientific notation?Scientific notation is a handy way to shorten extremely large numbers with positive exponential values and also very small numbers with negative exponential values. To shorten long numbers in scientific notation, employ positive exponents and decimals.For the given question;
a) Weight of the rice grain is 0.03 g.
Shift the point to one decimal of the right and replace it with 10⁻¹ for this.
= 0.3×10⁻¹
Thus, the number in standard form becomes 0.3×10⁻¹ grams.
b) In USA, the rice eaten per year = 4.3 million tonnes.
1 tonne = 1 million grams
And, we know, one million can be written as.
1 million = 10⁶
4.3 million tonnes = 4.6×10⁶ tonnes.
Now, if 1 tonne = 1 million grams.
Then, multiply both side by 4.6×10⁶.
4.6×10⁶ × 1 tonne = 4.6×10⁶×1 million grams.
4.6×10⁶ tonnes = 4.6×10⁶ million grams.
Again convert million as 10⁶.
= 4.6×10⁶×10⁶
= 4.6×10⁶⁺⁶
= 4.6×10¹²
Thus, in USA 4.6×10¹² grams of rice is eaten each year.
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Please help I will give brainlyest
Answer: you’re just full of questions today aren’t you :)
Step-by-step explanation:
Just multiply both sides And you should get what you need
have a good day
the radius of a circle is 14 yards. what is the circles circumference
Answer:
roughly 88 but 87.9645943005...
Step-by-step explanation:
First, the formula for the circumference of a circle is 2pi(r), so plugging in 14 yards, you get 28pi roughly 88 but for an actual answer 87.9645943005
Another model for a growth function for a limited population is given by the Gompertz function, which is a solution of the differential equation dP/dt = c ln(K/P) P where c is a constant and K is the carrying capacity.
The rate of population growth is proportional to the logarithm of the ratio of the carrying capacity to the current population.
The Gompertz function is a solution of the differential equation:
dP/dt = c ln(K/P) P
where P(t) is the population at time t, c is a constant, and K is the carrying capacity, i.e., the maximum population that can be sustained by the available resources.
To solve this differential equation, we can use separation of variables:
dP/P ln(K/P) = c dt
Integrating both sides, we get:
∫ dP/P ln(K/P) = ∫ c dt
Integrating the left-hand side requires a substitution. Let u = ln(K/P), then du/dP = -1/P and the integral becomes:
-∫ du/u = -ln|u| = -ln|ln(K/P)|
The right-hand side is just:
c t + C
where C is an arbitrary constant of integration.
Putting these together, we get:
-ln|ln(K/P)| = ct + C
Taking the exponential of both sides, we get:
|ln(K/P)| = e^(-ct-C)
Using the absolute value is unnecessary, since ln(K/P) is always positive, so we can drop the absolute value and write:
ln(K/P) = e^(-ct-C)
Solving for P, we get:
P = K e^(-e^(-ct-C))
This is the Gompertz function, which gives the population as a function of time, under the assumption that the rate of population growth is proportional to the logarithm of the ratio of the carrying capacity to the current population.
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A Right triangle has one acute angle of 43. what is the measure of the other acute angle
90 + 43 + x = 180
By Euclidean geometry, the measure of the missing angle, the other acute angle, of the right triangle is equal to 47°.
How to find the measure of the measing angle of the right triangleRight triangles are triangles of which one of its angles is a right angle and the other two angles are acute angles. According to the statement, the measure of an acute angle of the right triangle is equal to 43°.
By Euclidean geometry, the sum of the internal angles in any triangle equals a measure of 180°. Then, the measure of the missing angle is:
90° + α + β = 180°
If we know that α = 43°, then the value of β is:
α + β = 90°
43° + β = 90°
β = 47°
The measure of the missing angle is equal to 47°.
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ILL GIVE BRAINLY PLEASE HELP
The information on the table consists of the number of tickets and the total costs including parking is used to find the cost of one ticket to be $9.5
What is linear function ?A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + cDefinition of variables to suit the problem to be solved
y = Total cost
m = cost of one ticket
x = number of tickets
c = cost at zero ticket (flat rate)
Using the information from the table
62.50 = 5x + c (1)
43.50 = 3x + c (2)
subtracting (2) from (1)
19 = 2x
x = 19/2
x = 9.5
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The ratio of boys to girls is 4 to 6. If the school has 800 students, how many are girls
Answer:
Yo, there would be 320 boys and 480 girls. Cheers
Step-by-step explanation:
Since the ratio is 4:6. that just means there's 1.5 the amount of girls as there is boys.
Answer:
480
Step-by-step explanation:
No
Please Help With This !!!!!
The expressions that is equal to 2x - 6 are:
A). 2(x -3)
B) 4x+2x-3-3
C). -8x-10+10x + 4
E) x - 1 - 1 - 1 - 1 - 1 - 1 - x
The constant of proportionality represents the ratio of two proportional quantities.
What are the values of x?5. x + 90 + 38 = 180
x = 180 - 90 - 38
x = 52
6. 2x + 2x = 116
4x = 116
x = 29
7.6x + 132 = 180
6x = 180 - 132
x = 8
8. 2x + 3 + 2x + 3 = 90
4x + 6 = 90
4x = 90 - 6
x = 21
2. The equation y = 4x is in the form of y = kx, where k is the constant of proportionality.
In this case, k = 4, which means that Emma can run 4 miles for every hour she runs.
The constant of proportionality represents the ratio of two proportional quantities. In this case, it represents the ratio of the number of miles Emma can run to the number of hours she runs.
3. Let's assume that you bought 'x' plates from the online retail store.
The cost of 'x' plates without including the shipping charge can be calculated as:
Cost of 'x' plates = 5.25x
The total cost including the shipping charge is given as $39.30. Hence, we can write an equation as:
5.25x + 7.80 = 39.30
Now, we can solve for 'x' by isolating the variable on one side of the equation:
5.25x = 39.30 - 7.80
5.25x = 31.50
x = 31.50 ÷ 5.25
x = 6
Therefore, you bought 6 plates from the online retail store.
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PLEASE ANSWER THIS ASAP !!!!!!!!
Answer:43
Step-by-step explanation:
YOUR WECOME!!!!!
If that isnt the answer because i evaluated, try t=43/h :)
for h(x) = 4x-1, find h(0) and h(2)
Answer:
- 1 and 7
Step-by-step explanation:
to find h(0) substitute x = 0 into h(x)
h(0) = 4(0) - 1 = 0 - 1 = - 1
to find h2) substitute x = 2 into h(x)
h(2) = 4(2) - 1 = 8 - 1 = 7
an airline company tracks the number of lost bags that occur each day. this is best monitored by which of the following control charts?
a. x-bar chart
b. R-chart
c. p-chart
d. c-chart
e. None of the above
The best control chart to monitor the number of lost bags that occur each day is the c-chart.
The c-chart is used to monitor the count or number of occurrences of nonconformities in a process when the sample size varies. In this case, the number of lost bags each day represents the count of nonconformities (lost bags) that occur in the process.
The x-bar chart (a) is used to monitor the process mean of a continuous variable. It is not suitable for monitoring the count of nonconformities.
The R-chart (b) is used to monitor the range or variation of a continuous variable. It is not appropriate for tracking the count of lost bags.
The p-chart (c) is used to monitor the proportion or percentage of nonconforming items in a process. While it could be used if the airline company wanted to monitor the proportion of lost bags relative to the total number of bags, the number of lost bags per day is better suited for a c-chart.
Therefore, the c-chart (d) is the most appropriate control chart to monitor the number of lost bags that occur each day in the airline company's tracking process.
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Write an algebraic expression for the sum of 12 and 4
The requires algebraic expression is (12 + 4)
Algebraic expression:An algebraic expression is a mathematical phrase that consists of variables, constants, and mathematical operations.
Algebraic expressions can represent a wide range of mathematical concepts and can be used to solve problems in various fields such as physics, engineering, economics, and more.
Here we have
the sum of 12 and 4
Here the sum of 12 and 4 implies the addition of 12 and 4
Hence, we need to use the symbol '+' to write the expression
Hence,
The requires algebraic expression is (12 + 4)
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PLEASE help me for this math problem
:answer (x+5−4)(x+5+4)(x−4)
how i got it:
(x+5−4)(x−(−
2
2(5+4)
))(x−4)
What equals 12 using 2 2 2 2
Answer:
The equation can't use any number that isn't 2 and the answer can only have 4 twos. They have to have a combination of addition, subtraction, multiplication, and division. Not all of them have to be used though.
Step-by-step explanation:
What is the density in grams per cubic centimeter of a rectangular prism with mass of 6.161 grams, length of 1.669 cm, width of 1.845 cm, and height of 6.907 cm? Report your answer to three decimal places.
pt 2: What is the percent abundance (in units of percent) of zinc in a sample whose density is 7.801 g/mL and the only other component is copper? The density for pure copper is 8.96 g/cm3 and the density of pure zinc is 7.13 g/cm3. Report your answer to one decimal place.
The density of the rectangular prism, you need to divide its mass by its volume.
1. Mass of the prism = 6.161 grams
2. Length of the prism = 1.669 cm
3. Width of the prism = 1.845 cm
4. Height of the prism = 6.907 cm
The volume of a rectangular prism is calculated by multiplying its length, width, and height:
Volume = Length * Width * Height
Volume = 1.669 cm * 1.845 cm * 6.907 cm
Volume ≈ 21.325
Now, divide the mass by the volume to obtain the density:
Density = Mass / Volume
Density = 6.161 / 21.325
Density ≈ 0.289 (rounded to three decimal places)
For the second part of your question, we need to calculate the percent abundance of zinc in the sample with the given densities.
1. Density of the sample = 7.801
2. Density of pure copper = 8.96
3. Density of pure zinc = 7.13
Since the densities are given in different units, we need to convert them to the same unit. We'll convert the density of the sample from g/mL to g/cm^3:
Density of the sample = 7.801 g/mL * (1 mL / 1 cm)
Density of the sample ≈ 7.801
Now, we can calculate the percent abundance of zinc using the densities:Percent abundance of zinc = (Density of sample - Density of copper) / (Density of zinc - Density of copper) * 100
Percent abundance of zinc = (7.801 - 8.96 ) / (7.13 - 8.96 ) * 100
Percent abundance of zinc ≈ -11.48%
The negative value indicates that the sample contains a higher Percentage of copper compared to zinc.
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On a six-question multiple-choice test there are five possible answers for each question, of which one is correct (C) and four are incorrect (I). If a student guesses randomly and independently, find the probability of
a. Being correct only on questions 1 and 4 (i.e., scoring C, I, I, C, I, I).
b. Being correct on exactly two questions.
c. If X equals the number of correct answers in the six guesses, what is the p.m.f.; the mean; and the variance of X?
a. The probability of being correct only on questions 1 and 4 is (1/5) * (4/5) * (4/5) * (1/5) * (4/5) * (4/5) ≈ 0.01696. b. The probability of being correct on exactly two questions is 0.2304. c. The mean of X is 1.2 and the variance of X is 0.96.
a. To find the probability of being correct only on questions 1 and 4, we multiply the probabilities of getting a correct answer (C) on question 1, an incorrect answer (I) on questions 2 and 3, a correct answer on question 4, and incorrect answers on questions 5 and 6. The probability of getting a correct answer is 1/5, and the probability of getting an incorrect answer is 4/5. So the calculation becomes (1/5) * (4/5) * (4/5) * (1/5) * (4/5) * (4/5), which is approximately 0.01696.
b. To calculate the probability of being correct on exactly two questions, we can use the binomial distribution. The formula is P(X = k) = (n choose \(k) * p^k * (1-p)^(n-k),\)where n is the number of trials, k is the number of successes, and p is the probability of success in a single trial. In this case, n = 6, p = 1/5, and we want exactly 2 correct answers (k = 2). Plugging these values into the formula, we get P(X = 2) = (6 choose 2) * \((1/5)^2 * (4/5)^4,\)which is approximately 0.2304.
c. The probability mass function (p.m.f.) of X is a function that gives the probability of each possible number of correct answers in the six guesses. In this case, X can take values from 0 to 6. To calculate the p.m.f., we can use the binomial distribution formula for each value of X. The mean of X is calculated using the formula μ = n * p, where μ represents the mean, n is the number of trials, and p is the probability of success in a single trial. The variance of X is calculated using the formula \(σ^2 = n * p * (1-p),\) where \(σ^2\)represents the variance. For this problem, n = 6 and p = 1/5, so μ = 6 * (1/5) = 1.2 and\(σ^2\) = 6 * (1/5) * (4/5) = 0.96.
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to estimate the true mean speed of vehicles traveling on a particular section of roadway, a speed-detection device is programmed to measure the speed of the first 100 vehicles that pass it. are the conditions for constructing a t confidence interval met? no, the random condition is not met. no, the 10% condition is not met. no, the normal/large sample condition is not met. yes, the conditions for inference are met.
It's difficult to say whether the conditions for constructing a t-confidence interval are met based on the information provided. To construct a t-confidence interval, three conditions must be met:
The sampling method must be random. It's not specified in the problem whether the method of selecting the vehicles was random or not, so it's impossible to say whether this condition is met.
The sample size must be large enough. A sample size of 100 vehicles is considered to be large enough for the normal/large sample condition to be met.
The population must be approximately normally distributed or the sample size must be large. Since the problem does not specify anything about the distribution of the population, it is not clear if this condition is met.
Given that the information provided does not give enough details to state whether the conditions for constructing a t-confidence interval are met or not.
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b. Convert yards to feet.
3.2 yards
3
yard)
lxd
x
feet)
feet
Answer:
9.6 feet
Step-by-step explanation:
any ideas
Solve for x.
3(x - 2) =
6x - 12
3
3(x - 2) = 6x - 12
To Find:The value of x.
Solution:By opening the brackets, we get
3x - 6 = 6x - 12
By putting the common terms in a side, we get
3x - 6x = -12 + 6
(The value of a term changes when we take it to the other side of an equation)
By Subtracting and Adding the like terms, we get
-3x = -6
By putting -3 to the left side of the equation, we get
x = -6/-3
(The value of a term changes when we take it to the other side of an equation)
Answer:x = 2
Jenya answered 24 out of 30 questions correctly on her math test and 21 out of 25 questions
correctly on her science test. On which test did she score higher?
Answer:
Science Test
Step-by-step explanation:
Math test:
24/30 so divide 24 by 30 to see the percentage she got, which is 80%
Science test:
21/25, same process as before, 21 divided by 25 is 84%
Therefore, she scored higher on the science test.