Last night, everyone at the school music concert wrote their age on a slip of paper and placed it in a box. Today, each of the students in a math class selected a random sample of size 10 from the box of papers. Here is a dot plot showing their sample means, rounded to the nearest year.



Does the number of dots on the dot plot tell you:

a. how many people were at the concert

b. how many students are in the math class?

(a or b)



The mean age for the population was 35 years.

How many samples means are within 1 year of the population mean?

(write it as a fraction out of the total number of sample means)

If Elena picks a new sample of size 10 from this population, should she expect her sample mean to be within 1 year of the population mean?

no
(yes or no)

Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

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Answer:

£3780

Step-by-step explanation:

P= £3500, R=4%, t=2years

I = PRT/100

I= (3500×4×2)/100 =£280

Amount in 2years = P+I = £3500+ £280= £3780

Answer:

6.32

Step-by-step explanation:

3.8x=24

x = 6.32

Answer:

its 6.32

Step-by-step explanation:

6.32x3.8= 24.016

6.31x3.8= 23.978

Answer:

-4

Step-by-step explanation:

3x + 9 = -5x - 23

3x + 5x = -23-9

8x = -32

x = -4

Answer:

-4

Step-by-step explanation:

3x +9 =-5x - 23

3x +5x =-23 - 9

8x =-32

x=-32 :8

x=-4

Answer: 36034 is the answer

Step-by-step explanation:

838

x 43

----------

When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying the hundreds digit, three zeros when multiplying by the thousands digit, and so forth.

Answer:

36034

Step-by-step explanation:

Answer:

to solve this we would need to see the graphs

Step-by-step explanation:

however whichever one has 4 parts and 3 of them would be the time she spends reading.

Nicky needs to score 32 points in her next Game to have a mean of 25 points per game.

Nicky needs to score in her next game to have a mean of 25 points per game, we need to use the formula for the mean (average):
Mean = (Sum of all the numbers) / (Number of numbers)
In this case, we know that Nicky has scored 18 points, 22 points, and 28 points in her last three basketball games.

To find out how many points she needs to score in her next game to have a mean of 25 points per game, we need to first find the sum of all the points she has scored so far.
Sum of all the points = 18 + 22 + 28 = 68
Next, we need to find out how many games Nicky has played so far.

We know that she has played three games, so the number of games is 3.
formula for finding the mean to solve for the unknown variable, which is the number of points Nicky needs to score in her next game.
\(25 = (68 + x) / 4\)
Multiplying both sides by 4, we get:
100 = 68 + x
Subtracting 68 from both sides, we get:
x = 32
In summary, to find out how many points Nicky needs to score in her next basketball game to have a mean of 25 points per game, we used the formula for finding the mean and solved for the unknown variable.

we got was 32 points, which means Nicky needs to score 32 points in her next game to maintain an average of 25 points per game.

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Answer:

12.5

Step-by-step explanation:

The products of two numbers is 6.25 if one of them is 0.5 then find the other Number.​ - 31133581.

0.5 * x = 6.25

x = 6.25 / 0.5

= 12.5

Answer: I think it is

Step-by-step explanation:

Answer:

150% increase

Step-by-step explanation:

Calculate percentage change

from V1 = 200 to V2 = 500

(V2−V1)|V1|×100

=(500−200)|200|×100

=300200×100

=1.5×100

=150%change

=150%increase

There is enough evidence to show that the mean carbon dioxide emission is now lower than it was in 2004.

To test whether the mean carbon dioxide emission is now lower than it was in 2004, we need to conduct a one-sample t-test.

We are given a random sample of carbon dioxide emissions from a recent study. Let's assume that this sample is representative of the population of interest. The null hypothesis is that the true population mean of carbon dioxide emissions is equal to or greater than the mean in 2004 (4.87 metric tons per capita). The alternative hypothesis is that the true population mean is less than the mean in 2004.

We can set up the hypotheses as follows:

H0: μ >= 4.87

Ha: μ < 4.87

where μ is the true population mean of carbon dioxide emissions.

We are given the sample data in a table, but we don't know the population standard deviation, so we will use the sample standard deviation to estimate it. The sample mean is calculated as:

x = (4.28 + 3.94 + 3.27 + 3.81 + 3.43 + 3.09 + 2.52 + 2.98 + 3.23 + 3.36) / 10 = 3.43

The sample standard deviation is calculated as:

s = √(((4.28 -x)² + (3.94 - x)² + ... + (3.36 - x)²) / 9) = 0.659

The sample size is n = 10.

We can calculate the t-statistic as:

t = (x- μ) / (s / √(n)) = (3.43 - 4.87) / (0.659 / √(10)) = -4.26

The degrees of freedom for this test are df = n - 1 = 9. We can use a t-distribution table or a calculator to find the p-value associated with this t-statistic and degrees of freedom.

Using a t-distribution table with df = 9, we find that the p-value for a one-tailed test at the 3% level is less than 0.001. This means that the probability of observing a t-statistic as extreme as -4.26, assuming the null hypothesis is true, is less than 0.001.

Since the p-value is less than the significance level of 0.03, we reject the null hypothesis and conclude that there is enough evidence to show that the mean carbon dioxide emission is now lower than it was in 2004 at the 3% level.

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Answer:

m = 7

Step-by-step explanation:

Answer:

m=7

Step-by-step explanation:

Test the hypothesis step of the scientific method is he performing.

Making conjectures (hypothetical explanations) is a step in the scientific method. Predictions are then derived from the hypotheses as logical conclusions, and experiments or actual observations are conducted based on those predictions.

Since at least the 17th century, the scientific method—an empirical approach to learning—has guided the advancement of science. Since one's interpretation of the observation may be distorted by cognitive presumptions, it requires careful observation and the application of severe skepticism regarding what is observed.

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Answer:

force = work/distance

force = 900/5

force = 180 N

The Task objective chosen is: A Measuring Task

The Objective is: To investigate the fairness of a local athlete's track for runners starting on different lines.

To carry about the investigation, follow the steps given below.

Lastly, make a crossword puzzle that includes mathematical vocabulary in a clever manner.

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```Class IX```

*Mathematics Project work*

*Do any one*

1. *A Measuring Task*

To investigate your local athletes track to see whether it is worked fairly for runners who start on different lines.

2. *Design a crossword puzzle with mathematical terms*

To review mathematics vocabulary, to give the opportunity for creative expression in designing puzzles, to act as a means of motivating the study of a given unit and to given recreation .​

-44+18=-26degrees

negative 26 degrees is your answer

please mark brainliest and have a nice day

We have ST=5x, TU=3x+32 and they're equal if T is the midpoint:

5x = 3x + 32

2x = 32

x = 16

ST = 5x = 80

So TU = 80 and SU=160

Answer: Second choice

Answer: 4

Step-by-step explanation:

The factors of 12 are 1, 2, 3, 4, 6, and 12. Furthermore, the greatest perfect square on this list is 4 and the square root of 4 is 2.

I hope this helped! <3

After rotation about the origin the coordinate will be converted to :-

(-3,0) to (0,3)

(-5,0) to (0,5)

(-6,-3) to (-3,6)

(-1,-3) to (-3,1)

What are the types of rotation about the origin?

Rotation of 90 degrees

180° of Rotation

Rotation of 270 degrees

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2.80- 1.98= 0.82

A.) The difference is $0.82

16 boxes (I multiplied 2.80 by two which is 16 boxes)= $5.60

6 boxes= $1.98

22 boxes= $7.58   (I just added the price of 16 boxes and 6 boxes together.) If 22 boxes is worth $7.58 then I can make an educated guess and say that she got 23 boxes of Juice.

Now the answer is somewhat confusing because 23 boxes of juice gives a total price of $7.91 which is one cent off of what Olivia paid, however, each juice box is accounted to be $0.33. That means the total amount of Juice boxes cannot go over 23 but it cannot be lower than 23 either.

I'm going to say that Olivia bought 23 boxes of Juice for a total price of $7.91.

Each Juice Carton amounts to $0.33 as divided by 6 boxes for $1.98.

Step-by-step explanation:

always, always in % problems find what is the 100%, the regenerate for the rest.

from there you can make either direct calculations (shortcuts that we use, when we know what we are doing), or find 1% out of the 100% and then do the proper calculations.

this problem here says that

100% = $88.99 (the original price, our reference).

1% = 100%/100 = 88.99/100 = 0.8899

35% = 1%×35 = 0.8899 × 35 = $31.1465 ≈ $31.15

so, the sale price is

100% - 35% = 65%

65% = 1%×65 = 0.8899 × 65 = $57.8435 ≈ $58.84

$58.84 is the new sale price (before taxes).

as you can see, we could have done shortcuts, since we knew what to expect :

the new sales price is

88.99 × (1 - 0.35) = 88.99 × 0.65

\(y = (1/6)^{(1/3)} x^{(1/3)} - (1/36)^{(1/3)} x^{(-1/3)} + C x^{(-1/3)}\).

where we have also absorbed the constant \((1/6)^{(1/3)}\) into C for simplicity.

The Bernoulli equation is a mathematical equation that describes the conservation of energy in a fluid flowing through a pipe or conduit. It is named after the Swiss mathematician Daniel Bernoulli, who derived the equation in the 18th century.

The Bernoulli equation relates the pressure, velocity, and height of a fluid at two different points along a streamline. It assumes that the fluid is incompressible, inviscid, and steady, and that there are no external forces acting on the fluid.

The general form of the Bernoulli equation is:

P + (1/2)ρ\(v^2\) + ρgh = constant

where P is the pressure of the fluid, ρ is its density, v is its velocity, h is its height above a reference level, and g is the acceleration due to gravity. The constant on the right-hand side of the equation represents the total energy of the fluid, which is conserved along a streamline.

To begin, we substitute\(v=y^3\) into equation (1), then differentiate both sides with respect to x using the chain rule:

\(dv/dx = d/dx (y^3)\)

\(dv/dx = 3y^2 (dy/dx)\)

We can then substitute this expression into equation (1) to obtain:

\(3y^2 (dy/dx) + 2y = x(y^-2)\)

\(3(dy/dx) + 2/y = x/y^3\)

\(3(dy/dx)/y^3 + 2/y^4 = x/y^4\)

\(3(dy/dx)/v + 2/v = x/v\)

where the last line follows from the substitution \(v=y^3.\) This is now a first-order linear differential equation, which we can solve using the integrating factor method.

We first multiply both sides by the integrating factor. \(e^{(6x)}\)

\(e^{(6x)} (dv/dx) + 6e^{(6x)} v = 3xe^{(6x)}\)

Next, we recognize that the left-hand side can be written as the product rule of \((e^{(6x)v)})\):

\((d/dx) (e^{(6x)} v) = 3xe^{(6x)}\)

Integrating both sides with respect to x, we obtain:

\(e^{(6x)}\) v = ∫ \(3xe^{(6x)}\) dx = \((1/6)xe^{(6x)}\) - \((1/36)e^{(6x)} + C\)

where C is the constant of integration. Dividing both sides by e^(6x), we obtain the solution for v:

\(v = (1/6)x - (1/36)e^{(-6x)} + Ce^{(-6x)}\)

where we have absorbed the constant of integration into a new constant C.

Substituting back. \(v=y^3\), we have the final solution for y:

\(y = (1/6)^{(1/3)} x^{(1/3}) - (1/36)^{(1/3)} x^{(-1/3)} + C x^{(-1/3)}\)

where we have also absorbed the constant  \((1/6)^{(1/3)}\)into C for simplicity.

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Answer:

Step-by-step explanation:

Answer:

The surface area is the sum of all the faces (or surfaces) of a 3D shape. Composite figures are 2 figures put together. (There is an example of a composite figure below) You find an area of both shapes and then add them together, to find the area of the full figure.

Step-by-step explanation:

Answer:

14/-3 or -4 2/3

Step-by-step explanation:

First distribute the 2 into the parenthesis. Then Isolate the variable by subtracting 2x from both sides to get.

3x+4=-10

Next subtract 4 from both sides to get.

3x=-14

To isolate x divide by three on both sides to get.

x=-4 2/3

Brailiest Plz.

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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Answer: 20/12 and 4/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Griffin purchased 42 one-ounce Krugerrand Gold Coins.

And, he set a goal of buying 5 Krugerrand Gold coins every year.

To find the recursive formula.

Explanation:

It is given that,

Griffin purchased 42 one-ounce Krugerrand Gold Coins.

And, he set a goal of buying 5 Krugerrand Gold coins every year.

That implies,

The first term is 42.

And, the increase in the sequence is 5.

That is, the common difference d is 5.

Therefore, the recursive formulas are,

From the question, the first table is not a function while the other two tables are functions.

A function is a correspondence or mapping from a first set of numbers, called the domain of the function, to a second set of numbers, called the range of the function, such that for each member of the domain there is exactly one member of the range.

A function is said to be one-to-one if every y value has exactly one x value mapped onto it, and many-to-one if there are y values that have more than one x value mapped onto them. This graph shows a many-to-one function.

4) We see that all the y-values are the same or equal. Thus, we can say that it is not a function because it doesn't match the definition above.

5) Yes the table describes a function because all input values produces a unique output y-value.

6) Yes, the table represents a function because all input values produces a unique output y-value.

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Answer:

£330

Step-by-step explanation:

The total ratio between Paul and Malachy is 2 + 3 = 5.

The amount that Paul will receive is:

2/5 * 2750 = £1100

The second ratio is between Paul, his wife and their son in the ratio 5:4:1. The total ratio between Paul, his wife and their son is:

5 + 4 + 1 = 10

The amount that Paul's wife will receive is:

4/10 * 1100 = £440

The amount that their son will receive is:

1/10 * 1100 = £110

Therefore, the amount that the wife will receive over the son is:

440 - 110 = £330

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation: