Jasmine and her sister are saving to buy MP3 players. Jasmine has $50 and plans to

save $10 per week. Her sister has $80 and plans to save $7 per week. In how many

weeks will Jasmine have more money saved than her sister?

Answers

Answer 1

If Jasmine saves $10 per week and her sister saves $7 per week, then Jasmine will have more "money-saved" than her sister in 10 weeks.

Let the number of weeks be denoted by "x",

We know that,

The Jasmine's initial-savings is = $50,

The amount which Jasmine weekly saves is = $10,

Her sister's initial savings is = $80,

The amount which her sister weekly-saves is = $7,

We have to find the value of "x" when Jasmine's savings exceed her sister's savings.

Total saving's of Jasmine after "x" weeks is calculated as,

⇒ Jasmine's total savings = Initial savings + (Weekly savings × Number of weeks),

⇒ $50 + ($10 × x),

Her sister's total savings after "x" weeks can be calculated as:

⇒ Sister's total savings = Initial savings + (Weekly savings × Number of weeks),

⇒ $80 + ($7 × x),

We write the equation to find the value of "x" when Jasmine's total savings exceed her sister's total savings,

⇒ 50 + 10x > 80 + 7x,

⇒ 50 + 10x - 80 > 7x,

⇒ 50 - 80 > 7x - 10x,

⇒ -30 > -3x,

⇒ -30/-3 < x,

⇒ 10 < x,

Therefore, Jasmine will have more money than her sister is after 10 weeks.

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Related Questions

Please help as soon as possible.. thanks

Please help as soon as possible.. thanks

Answers

Answer:

0.5 is correct answer hope it helps

Please help as soon as possible.. thanks

Can someone plz help me out with this I will really appreciate it no links plz

Can someone plz help me out with this I will really appreciate it no links plz

Answers

Answer:

B

Step-by-step explanation:

1) use a proportion to find how many students chose pizza

30 : 100 = x : 80

x = (80 x 30)/100 = 24

2) use a proportion to find how many students chose salad

10 : 100 = x : 80

x = (80 x 10)/100 = 8

3) solve the question

24 - 8 = 16

Answer:

12 STUDENTS CHOSE HAMBURGERS

24 STUDENTS CHOSE PIZZA

16 STUDENTS CHOSE SANDWHICHES

20 STUDENTS CHOSE HOT DOGS

8 STUDENTS CHOSE SALAD

24 = PIZZA

8 = SALAD

8 - 24 = 16 SO B

i dont know why everything i capitilized sorry haha

Step-by-step explanation:

Solve: 5 + x = 3( x - 7) + 6

Answers

Answer:

x=10

Step-by-step explanation:

Step-by-step explanation:

5+x=3(x-7)+6

5+x-3x+21-6=0

-2x+20=0

-2x=-20

x=-20/(-2)

x=10

In the Diagram segment ad bisects angle bac

In the Diagram segment ad bisects angle bac

Answers

Since segment AD bisects angle BAC, the value of x is equal to 14.6.

What is an angle bisector?

In Mathematics, an angle bisector can be defined as a type of line, ray, or segment, that bisects or divides a line segment exactly into two (2) equal angles.

By applying the angle bisector theorem to this triangle (ΔABC), we have:

AB/BD = AC/DC

19/x = 17/(20 - x)

17x = 19(20 - x)

17x = 380 - 19x

19x + 17x = 380

26x = 380

x = 380/26

x = 14.6.

In conclusion, we can reasonably infer and logically deduce that the value of x in triangle ABC is 14.6.

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Select the correct answer.
An image of two lines m and n parallel to each other. Lines p and q are parallel to each other. Line p and n for a hundred degrees angle. The angle formed by lines q and m is marked x.In the figure, lines m and n are parallel to each other. Lines p and q are also parallel to each other. What is the value of x?

A.
40°
B.
80°
C.
100°
D.
180°

Answers

if  Lines p and q are also parallel to each other then value of x is 100, option C is correct.

What are Parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point.

The known angle is supplementary with angle A (Look at the attachment), that means that the sum of the known angle and A is 180°, therefore the value of angle A is 80°

Angle A and B are corresponding angles, which means that they have the same value, that happens because p and q are parallels and both cut line n  in the same way. the value of the angles B is 80°

Angles B and C are corresponding too, so the value of the angle C is 80°.

Angles C and X are supplementary too for which the sum of X and C  is 180°, so the value of X is 100°

Hence, if  Lines p and q are also parallel to each other then value of x is 100, option C is correct.

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Select the correct answer.An image of two lines m and n parallel to each other. Lines p and q are parallel

(Variance of a linear combination) Let X,Y be random variables and a,b,c be constants. Show that: var (aX + bY + c) = a^2 var X + b^2 varY + 2ab cov(X,Y) (Hint: write the variance as a covariance and use bilinearity twice)

Answers

To show that var(aX + bY + c) = a^2 var X + b^2 varY + 2ab cov(X, Y), we can start by using the definition of variance, which is var(X) = E[(X - E[X])^2], and the definition of covariance, which is cov(X, Y) = E[(X - E[X])(Y - E[Y])].

Variance is a measure of the spread of a random variable's possible values. It is defined as the expected value of the squared deviation of a random variable from its mean. For a random variable X, the variance is denoted as Var(X) or σ^2(X) and is calculated as:

Var(X) = E[(X - E[X])^2]

Using these definitions, we can write:

var(aX + bY + c) = E[(aX + bY + c - E[aX + bY + c])^2]

Using the properties of expectations and bilinearity, we can simplify this to:

var(aX + bY + c) = E[(a(X - E[X]) + b(Y - E[Y]))^2]

Expanding the square and using bilinearity again, we get:

var(aX + bY + c) = a^2 E[(X - E[X])^2] + b^2 E[(Y - E[Y])^2] + 2ab E[(X - E[X])(Y - E[Y])]

Since the expectations of (X - E[X])^2 and (Y - E[Y])^2 are equal to var(X) and var(Y) respectively, we can substitute these values into the above equation to get:

var(aX + bY + c) = a^2 var X + b^2 varY + 2ab cov(X,Y)

Therefore, we have shown that var(aX + bY + c) = a^2 var X + b^2 varY + 2ab cov(X,Y)

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The area of a square poster 26 inch. 2. Find the length of one side of the poster to the nearest tenth of an inch.

Answers

Answer:

6.5 inches

Step-by-step explanation:

Divide 26 by 4

26/4=6.5

The length of one side of the poster to the nearest tenth of an inch is 5.1 inches.

What is the area of a square?

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

Given; The area of a square poster 26 inch

We need to find the length of one side of the poster to the nearest tenth of an inch.

The area of a square would be S^2

26 = S^2

s = sqrt(26) = 5.099

Then rounded to nearest tenth = 5.1 inches

Hence, the length of one side of the poster to the nearest tenth of an inch is 5.1 inches.

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Which list of numbers is arranged from greatest to least? A. 0.55, 60%, 4 7 4 7 B. 4 7 4 7 ,60%, 0.55 C. 60%, 0.55, 4 7 4 7 D. 60%, 4 7 4 7 , 0.55

Answers

Answer:

I think the answer is B.

does the data suggest a linear, quadratic, or exponential model?

does the data suggest a linear, quadratic, or exponential model?

Answers

Exponential model because it's increasing rapidly.

5 = x is the same as x = 5 due to what
property
Multiplicative Identity Property
Commutative Property of Multiplication
Transitive Property of Equality
Symmetric Property of Equality

Answers

Symmetric Property of Equality

Answer:

        Symmetric Property of Equality

Step-by-step explanation:

Symmetric Property of Equality means that we can swap the sides of equation and the equality stays the same.

i need help please thanks​

i need help please thanks

Answers

Answer:

the answer is the answer of the answer okay answer

Step-by-step explanation:

the answer is the answer of the answer okay aanswer

3. Zoe is attempting to balance her checkbook. She had a beginning balance of $1, 235.46 at the beginning of the month. She
made a deposit in the amount of $83.49, then wrote check 1206 for $36.86. The next day she wrote check 1207 and check
1208 for $254.34. Zoe forgot to write the amount of check 1207 into her check register. Zoe's statement shows an ending
balance of $842.98. Find the amount of check 1207.

Answers

We can start by using algebra to represent the given information. Let x be the amount of check 1207.

What does a math equation mean?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

The beginning balance: 1,235.46

The deposit: + 83.49

Check 1206: - 36.86

Check 1207: - x

Check 1208: - 254.34

Ending balance: 842.98

We can then set up an equation to represent the balance after all the transactions are made:

1,235.46 + 83.49 - 36.86 - x - 254.34 = 842.98

Simplifying the equation:

1,235.46 + 83.49 - 36.86 - x - 254.34 = 842.98

1,235.46 + 46.63 - x = 1,087.32

x = 1,235.46 + 46.63 - 1,087.32

x = 194.77

So the amount of check 1207 is $194.77

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10.4. RUN #I Let the square wave function f(t), defined below over the domain 0 ≤t≤1₂: >={₁ B f(t)= A for for 1₁ <1≤1₂ 0≤1≤1₁ be a periodic function (f(t) = f(t±nT)), for any integer n, and period T=1₂. Create a plot using Matlab of f(t), using 100 points, over 2 periods for the following functions: (1)fi(t) defined by A-5, B=-5, 12-2 seconds and t₁=1 seconds. (2) f2(1) defined by A-6, B=-3, 12-3 seconds and 11=2 seconds (3) f3(1) defined by A-3, B=0, t2=2 seconds and t₁=1/2 seconds (4) f4 (1) defined by f4(t) = -f(t) (5) fs (1) defined by A-5, B=-3, 1₂2=2 seconds and t₁=1 seconds (6) f6 (1) fi(t) +f 3 (t) (7) fr (t)=f1 (1) *1 (8) fs (t)=f7 (1) + f2 (1)

Answers

Step 1: The plot shows the square wave function f(t) over 2 periods for various functions defined by different values of A, B, and time intervals.

Step 2:

The given question asks us to plot the square wave function f(t) using MATLAB for different variations of the function. Let's analyze each part of the question and understand what needs to be done.

In the first step, we are asked to plot fi(t) defined by A=-5, B=-5, t₁=1 seconds, and 12-2 seconds. This means that for the time interval 0 to 1₁, the function has a value of A=-5, and for the time interval 1₁ to 1₂, the function has a value of B=-5. We need to plot this function using 100 points over 2 periods, which means we will plot the function for the time interval 0 to 2 periods.

In the second step, we are asked to plot f2(t) defined by A=-6, B=-3, t₁=1 seconds, and 12-3 seconds. Similar to the first step, we will plot this function over 2 periods.

In the third step, we have f3(t) defined by A=-3, B=0, t₁=1/2 seconds, and t2=2 seconds. Again, we will plot this function over 2 periods using MATLAB.

In the fourth step, we need to plot f4(t) defined as the negative of the square wave function f(t). This means that for the time interval 0 to 1₁, the function will have a value of -A, and for the time interval 1₁ to 1₂, the function will have a value of -B. We will plot this function over 2 periods.

In the fifth step, we are asked to plot fs(t) defined by A=-5, B=-3, t₁=1 seconds, and 1₂2=2 seconds. Again, we will plot this function over 2 periods.

In the sixth step, we need to plot f6(t) which is the sum of fi(t) and f3(t). We will plot this function by adding the corresponding values of fi(t) and f3(t) at each time point over 2 periods.

In the seventh step, we are asked to plot fr(t) which is the product of f1(t) and the constant 1. This means that the values of f1(t) will remain the same, and we will multiply each value by 1. We will plot this function over 2 periods.

In the eighth and final step, we need to plot fs(t) which is the sum of fr(t) and f2(t). Similar to the previous steps, we will plot this function by adding the corresponding values of fr(t) and f2(t) at each time point over 2 periods.

Step 3:

The given question requires us to plot the square wave function f(t) with different variations. Each variation involves specific values of A and B, as well as different time intervals. By following the instructions, we can create the desired plots using MATLAB and visualize the resulting waveforms.

The first step involves plotting fi(t) with A=-5, B=-5, t₁=1 second, and 12-2 seconds. This means that the function will have a value of -5 for the first half of the time interval and -5 for the second half. By plotting this waveform over 2 periods using 100 points, we can observe the square wave with the given characteristics.

In the second step, we plot f2(t) with A=-6, B=-3,

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two students wish to investigate how the amount of pollution and number of fish in a stream are related. identify the dependent and independent variables.

Answers

In this investigation, the dependent variable is the number of fish in the stream and the independent variable is the amount of pollution.

Variables are symbols or names that are used to represent values in a mathematical or scientific investigation. They allow us to describe and analyze patterns and relationships in data.

There are two main types of variables:

1. Independent variables are variables that are manipulated or controlled in an experiment to determine their effect on the dependent variable. The independent variable is also referred to as the predictor variable or the explanatory variable.

2. Dependent variables are variables that are being measured in an experiment and are dependent on the independent variable. The dependent variable is also referred to as the response variable or the outcome variable. It is the variable that is being affected by the independent variable.

The dependent variable is dependent on the independent variable, as changes in the amount of pollution are expected to affect the number of fish in the stream. The goal of the investigation is to determine the relationship between the two variables and see how changes in the amount of pollution affect the number of fish in the stream.

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can someone help me... it history, but no one is helping me, u don't have to know history u just have to know how to do research about it.

Answers

Answer:

lol why is this posted in mathematics

When bound to CR1, C3b is cleaved by __________, generating pathogen-associated B-cell co-receptor ligands.

Answers

When bound to CR1 (complement receptor 1), C3b is cleaved by Factor I, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

The complement system is a part of the immune system that plays a crucial role in recognizing and eliminating pathogens. C3b is a component of the complement system that can opsonize pathogens, marking them for phagocytosis by immune cells. When C3b binds to CR1, which is present on B cells, the cleavage of C3b occurs. This cleavage is performed by an enzyme called Factor I, which is regulated by co-factors such as membrane cofactor protein (MCP). Factor I acts by proteolytically cleaving C3b into smaller fragments, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

These pathogen-associated B-cell co-receptor ligands play a role in the activation of B cells, promoting their immune response against the pathogen. By cleaving C3b, Factor I helps regulate and fine-tune the complement system, ensuring an appropriate immune response while preventing excessive inflammation or damage to host tissues.

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please help with geometry

please help with geometry

Answers

Answer:

  12

Step-by-step explanation:

The ratio of hypotenuse to short side of these similar triangles is the same for all of the triangles:

  x/6 = 6/3

  x = 6(6/3) = 12

The length of AC is 12 units.

Can someone help me with this? It’s due today :c

Can someone help me with this? Its due today :c

Answers

1 = 60 as the opposite angles are equal

2 = 120

3 = 80

4 = alternate interior angles

How does the graph of g(x) = (x − 8)3 + 3 compare to the parent function f(x) = x3?
a. g(x) is shifted 8 units to the left and 3 units up.
b. g(x) is shifted 3 units to the right and 8 units down.
c. g(x) is shifted 8 units to the right and 3 units up.
d. g(x) is shifted 3 units to the right and 8 units up.

Answers

Answer:

The right answer is C.

Step-by-step explanation:

The parent function is:

\(f(x)=x^3\)

If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.

\(f(x)=(x-8)^3\)

graph shifted toward right by \(8\) units right

\(f(x)=(x-8)^3+3\)

graph shifted toward right by \(3\) units up

Thus the new function is:

\(g(x)=(x-8)^3+3\)

Using differentials, the approximate change in the value of f(x) = x2 + 4x - 1 as x changes from 3 to 3. 1 is

O 0. 1.

O 1.

O 10.

O 100

Answers

The approximate change is 1.

What is approximate value?

nearly accurate or precise close but not exact in value or quantity an estimated answer. a rough date.: situated close to one another. leave a rough estimate.

f(x) = x² + 4x - 1

df(x)/dx = 2x+4

f(x+dx) =  f(x)  +[ df(x)/dx ] * dx

f(x+dx) - f(x) = [ df(x)/dx ] * dx

Here, x=3 , dx= 3.1 - 3 = 0.1

f(3.1) - f(3) =  [ df(x)/dx ]  (0.1) = (2x+4) (0.1)

                                             = 10*0.1 = 1

Thus, approximate change is 1

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A taut telephone wire extends from the top of a 7-meter tall telephone pole to a stake in the
ground 2 meters away. A bug crawled from the stake in the ground up the wire to the top of
the telephone pole. Then the bug crawled down to the bottom of the pole and back to the
stake. How far did the bug crawl? If necessary, round to the nearest tenth.

Answers

The bug crawled 6.7m away

Data;

hypothenuse (x) = 7mdistance between the pole (y) = 2mheight (z) = ?

To solve this problem we would use Pythagoras theorem

Pythagoras Theorem

\(x^2=y^2+z^2\)

substitute the values into the equation and solve.

\(7^2=2^2+z^2\\49=4+z^2\\z^2=49-4\\z^2 = \sqrt{45}\\\\z= 6.7\)

from the calculation above, the bug crawled 6.7m.

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Professor Macor has conditioned her cat Prince to come running when she crinkles his bag of kitty treats. In terms of classical conditioning, crinkling the bag of treats serves as the:

Answers

In terms of classical conditioning, crinkling the bag of kitty treats serves as the conditioned stimulus. Classical conditioning involves the association of a neutral stimulus (conditioned stimulus) with a naturally occurring stimulus (unconditioned stimulus) to elicit a response.

Classical conditioning is a type of learning in which a neutral stimulus becomes associated with a naturally occurring stimulus to elicit a response. In this scenario, crinkling the bag of kitty treats is the neutral stimulus that becomes associated with the naturally occurring stimulus, which is the pleasure of eating treats for the cat.

The conditioned stimulus is the previously neutral stimulus that, through repeated pairing with the unconditioned stimulus (the naturally occurring stimulus), triggers a response. In this case, the crinkling sound of the bag becomes the conditioned stimulus because it is repeatedly paired with the unconditioned stimulus (the pleasure of eating treats), leading to the cat's response of coming running when it hears the bag being crinkled.

Over time, the cat learns to associate the sound of the crinkling bag with the reward of receiving treats, and the conditioned response of coming running is elicited by the conditioned stimulus alone, even without the presence of the unconditioned stimulus (the actual treats). This demonstrates the process of classical conditioning.

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What’s the answer????

Whats the answer????

Answers

Step-by-step explanation:

Q7) 10% of 30=3

40% of 30 =3×4=12

30-12=18

the sale price of radio is 18

q8)purchase lose lemmons:0.99÷2=0.495

Bag of 6=2.50÷6=0.4166666667

so the better value is the bag of 6 for 2.50.

How many triangles with integer side lengths have a perimeter of 23 ?

PLEASE HELP

Answers

Answer:

12 is triangles with interger side

There are six triangles with integer side lengths that have a perimeter of 23.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

To find the number of triangles with integer side lengths that have a perimeter of 23, we can use triangle inequality. This states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

We can start by considering the smallest possible triangle with a perimeter of 23. This would be a triangle with sides of lengths 1, 1, and 21. However, this triangle does not satisfy the triangle inequality, because the sum of the lengths of the two smallest sides (1+1) is not greater than the length of the longest side (21).

The next smallest triangle would have sides of lengths 2, 2, and 19. This triangle does satisfy the triangle inequality because the sum of the lengths of the two smallest sides (2+2) is greater than the length of the longest side (19).

We can continue this process by incrementing the length of the smallest side and decrementing the lengths of the other two sides until we reach a triangle that does not satisfy the triangle inequality. This will give us all of the triangles with integer side lengths that have a perimeter of 23.

Here are the triangles with integer side lengths that have a perimeter of 23:

2, 2, 19

3, 3, 17

4, 4, 15

5, 5, 13

6, 6, 11

7, 7, 9

Therefore, there are 6 triangles with integer side lengths that have a perimeter of 23.

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What is the slope of the line that passes through (0, 7) and (3, 10)?

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 10 )

m = \(\frac{10-7}{3-0}\) = \(\frac{3}{3}\) = 1

A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months. What is the standard error of the sample​ proportion?
a. 0.037
B. 0.057
C. 0.069
D. 0.016

Answers

The given information is as follows:A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months.

The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150

The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037

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the measure of the supplement of an angle is 39° more then the angle. find the measure of the angle and it’s supplement.

Answers

Step-by-step explanation:

s = a+39

s+a = 180

a+39+a = 180

2a = 180-39

2a = 141

the angle = 70.5°

the supplement = 109.5°

Write the expression 5x(x + 9) − 7(x + 9) in complete factored form. How do you do this step by step

Answers

Answer:

(x+9) are the like terms so u just put 5x and -7 in brackets

the answer is

(5x-7) ( x+9)

The measure of an angle is 175. 5°. What is the measure of its supplementary angle?

Answers

If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.

To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:

β + α = 180º

The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°

Therefore, the measure of the supplementary angle is 4.5°.

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On her daily homework assignments, Qinna has earned the maximum score of $10$ on $15$ out of $40$ days. The mode of her $40$ scores is $7$ and her median score is $9$. What is the least that her arithmetic mean could be

Answers

The least that Qinna's arithmetic mean could be is 7.88.

What is arithmetic mean?

The arithmetic mean, often known as the mean or average when the context is obvious, is the sum of a set of integers divided by the total number of the numbers in the set in mathematics and statistics.

We know that the mode is 7, which means that she must have scored 7 more than any other score. Therefore, the 15 days where she scored 10 cannot be the mode, and they must be some of the remaining 25 scores.

Let's consider the worst-case scenario for Qinna's scores on the other 25 days. We'll assume that she scored a 6 on all of those days. This means that her scores would look like:

15 days with a score of 10

10 days with a score of 7

10 days with a score of 6

5 days with an unknown score, which we'll call x

To find the least possible mean, we want to make x as small as possible. We know that the median is 9, so the 20th and 21st scores must be 9. We also know that there are 25 scores of 6 or higher, so the 25th score must be at least 6. Therefore, the sum of the first 24 scores plus x must be less than or equal to 25 times 6 (the sum of the lowest 25 possible scores).

24(10) + x ≤ 25(6)

240 + x ≤ 150

x ≤ -90

This means that the 5 remaining scores must add up to at most -90. Since the minimum score is 6, the maximum possible value of x is 4 times 6, or 24. Therefore, the least possible value of x is -90, which means that the 5 remaining scores must add up to 90.

To minimize the mean, we want to make these 5 scores as small as possible. If we make all 5 scores equal to 6, then the sum of all 40 scores would be:

15(10) + 10(7) + 10(6) + 5(6) = 315

The mean would be 315/40 = 7.875, which rounded to the nearest hundredth is 7.88.

Therefore, the least that Qinna's arithmetic mean could be is 7.88.

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