Chelsea records the number of quarts of water she gives her garden over 444 days. She rounds the measurements to the nearest \dfrac{1}{8}
8
1
​
start fraction, 1, divided by, 8, end fraction quart and then records the information on the line plot below.

We can rewrite the formulas as:

a) pXY(z) = Σ xPX(x)PY(z/x)
b) PY/X(z) = Σ PX(x)PY(xz)

Using Proposition 6.16, we can derive the formulas for the product and quotient of X and Y as follows:

a) pXY(z) = ΣΣ PX,Y(x, y) for all (x, y) such that xy = z. This can be written as pXY(z) = Σ xPx,Y(x, z/x), where we sum over all x values in the range of X.

b) PY/X(z) = ΣΣ PX,Y(x, y) for all (x, y) such that y/x = z. This can be written as PY/X(z) = Σ xPx,Y(x, xz), where we sum over all x values in the range of X.

Now, let's specialize these formulas for the case where X and Y are independent:

For independent X and Y, we have PX,Y(x, y) = PX(x)PY(y). Therefore, we can rewrite the formulas as:

a) pXY(z) = Σ xPX(x)PY(z/x)
b) PY/X(z) = Σ PX(x)PY(xz)

These formulas represent the probability mass functions (PMFs) for the product and quotient of two independent positive discrete random variables X and Y defined on the same sample space.

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Answer: B. y = -5x + 3

Step-by-step explanation:

Brainliest please?

Answer:

10

Step-by-step explanation:

If you have 4/1 and you're dividing by 2/5, you flip it, so it's 4/1 x 5/2, which is a lot easier. That equals 20/2, which, when you simplify, equals 10. (By the way, the model in I-ready helps to get that concept!)

Answer:

10/51

Step-by-step explanation:

5

6

1

13

4

If the value stated by a null hypothesis is within the confidence interval, then the decision would have likely been to retain the null hypothesis.

In hypothesis testing, the null hypothesis represents the default assumption or the claim that there is no significant difference or relationship between variables. The confidence interval, on the other hand, provides a range of plausible values for the population parameter based on sample data. If the value stated by the null hypothesis falls within the confidence interval, it means that the null hypothesis value is considered plausible or consistent with the observed data.

In this case, there is insufficient evidence to reject the null hypothesis, and the decision would be to retain it. On the other hand, if the null hypothesis value is outside the confidence interval, it suggests that the null hypothesis is unlikely, and the decision would be to reject it in favor of an alternative hypothesis.

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The daily newspaper has the most users among those surveyed.

To determine which news source has the most users, we need to compare the percentages of those who use each source.

According to the survey:

55% get news from local television station

60% get news from daily newspaper

40% get news from the internet

To compare these percentages, we can either convert them to fractions or decimals. Let's convert them to decimals:

55% = 0.55

60% = 0.60

40% = 0.40

Now we can compare them directly. We see that the source with the highest percentage is the daily newspaper, with 60% of those surveyed saying they get news from it. Therefore, the daily newspaper has the most users among the surveyed population.

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The degrees of freedom for alpha = 0.05 for the sample of 35 16-year old with antisocial tendencies is 34.

In order to use the t distribution to compare the scores on the emotion recognition scale for the sample of children with antisocial tendencies to the general population of 16-year olds, the degrees of freedom must first be determined.

Degrees of freedom (df) describes the amount of independent information that a sample has. It is calculated by subtracting the number of sample observations from the number of parameters estimated. In this case, for alpha = 0.05, the degrees of freedom for the sample would be 34 (df = n-1, where n is the number of observations which is 35).

Therefore, the degrees of freedom for alpha = 0.05 for the sample of 35 16-year old with antisocial tendencies is 34.

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Answer:

False.

Step-by-step explanation:

The ratio is 1:500, which means that the model will be 500 times smaller than the real deal.

The real airplane is 50 metres, or 5,000 centimetres. The model is 50 cm. 5,000 / 50 = 1,000 / 10 = 100 / 1 = 100. Since 100 is NOT equal to 500, the answer is false.

Hope this helps!

Solution

For this case we have the following measures

L3= 114.6º

L4= 64.4º

Then by alternate angles we have this L3= L1 and L4= L2 so we have this:

L1= 114.6º

L2= 64.4º

Answer:

Y=5/1x+15

Step-by-step explanation:

I know this is old, but no one answered it so I thought I would

The probability of winning a certain lottery is p = 1/64,481. For a single play, the expected number of wins is E(X) = 1*p + 0*(1-p) = p.

The variance of the number of wins for a single play is\(Var(X) = p(1-p) = 1/64,481 * 64,480/64,481 = 64,480/64,481^2\).

For 669 plays, the expected number of wins is 669p and the variance of the number of wins is \(669Var(X) = 669(64,480/64,481^2) = 668.99/64,481\).

The standard deviation is the square root of the variance, so the answer is approximately sqrt(668.99/64,481) = 0.309.

Therefore, the closest answer choice is D) 0.3.

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Answer:

Rosaria purchased 50 bracelets and 70 necklaces

Step-by-step explanation:

Let the number of bracelets be b and the number of necklaces be n

b + n = 120 •••••(i)

Secondly;

10b + 11n = 1270 ••••(ii)

Total cost of b bracelets at 10 per 1 is 10b

Total cost of n bracelets at 11 per 1 is 11n

Adding both gives 1270

From i, b = 120-n

Substitute this into ii

10(120-n) + 11n = 1270

1200 - 10n + 11n = 1270

n = 1270-1200

n = 70

b = 120-n

b = 120-70

b = 50

The value of the expression when z =4 is 19

Note that algebraic expressions are defined as expressions composed of terms, factors, constants, coefficients and variables.

They are also made up of arithmetic operations, such as;

From the information given, we have that;

z^2 + 12/z

When z = 4, substitute the value of the variable, we get;

4² + 12/4

divide the values

16 + 3

Add the values

19

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Answer:

D. 9p + $11.50 = $94.75; p = $9.25

Step-by-step explanation:

To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,

                                $11.50 + 9p = $94.75

The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter D.

...................................................................................................................................................

Let

p---------> the price of each scrub

s----------> the price of the potting soil

T--------> total bill

we know that

in this problem

substitute the values in the formula above

solve for p

therefore

the answer is the option D

calculista

Genius

19K answers

437.3M people helped

Answer:

Step-by-step explanation:

no because 6 , 7 and 10 doesn't add up to 180 so it is not

A triangle has sides with lengths of 6 kilometers, 7 kilometers, and 10 kilometers is not a right triangle.

To determine if a triangle is a right triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that "In a right-angled triangle, the sum of the square of the two shorter sides is equal to the square of the longest side." It can be written as:

a² + b² = c², where 'a' and 'b' are the lengths of the two legs of a right triangle, and 'c' is the length of the hypotenuse.

In this triangle, the two shorter sides have lengths of 6 kilometers and 7 kilometers and the longest side is 10 kilometers.

The square of 6 kilometers is 36 kilometers and the square of 7 kilometers is 49 kilometers.

The sum of 36 kilometers and 49 kilometers is 85 kilometers.

The longest side of the triangle has a length of 10 kilometers, and the square of 10 kilometers is 100 kilometers.

Since 85 kilometers is not equal to 100 kilometers, this triangle is not a right triangle.

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Answer:

The best estimate for her earnings is $1200

Step-by-step explanation:

Number of time spent babysitting each week = 21 hours = BBS

Number of time spent dog walking each week = 9 hours = DW

She earns $7.50 per hour for dog walking,

She earns $(7.50+1.50) = $9 for baby sitting,

There are 4 1/2 weeks = 9/2 weeks in July,

Now, for each week she earns 21(9) = $189 from baby sitting

and 9(7.5) = $67.5 from dog walking,

So, for the month of July, i.e. 9/2 weeks, she earns,

9/2(189) = $ 850.5 from baby sitting,

and (9/2)(67.5) = $303.75 from dog walking,

In total for the month, she earns,

850.5 + 303.75 = $1154.25

Hence the best estimate for her earnings is $1200

The z - test static is, z = (0.38 -p₀) / 0.02, Where p₀ is the specific sample proportion.

To calculate the z-test statistic for this hypothesis test, we need to follow a few steps.

Determine the null and alternative hypotheses.

Let's assume our null hypothesis is H0: p = p₀,

Where p0 is the hypothesized proportion. And our alternative hypothesis is Ha: p ≠ p₀ (two-tailed test).

Calculate the standard error (SE) using the formula:

SE = √((p₀ * (1 - p₀)) / n)

Given that the sample proportion is 0.38 and the sample size is 801,

We can substitute these values into the formula:

SE = √((0.38 * (1 - 0.38)) / 801)

     ≈ 0.02

Calculate the z-test statistic using the formula:

z = (p - p₀) / SE

Substituting the values, we have:

z = (0.38 - p₀) / 0.02

Here the specific value of p₀ is not given.

Hence,

The z - test static is, z = (0.38 -p₀) / 0.02

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The ratio of all the corresponding sides and corresponding angles is one. Then the quadrilateral is congruent with each other.

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

The quadrilaterals are LMNP and LKJQ shown.

In quadrilaterals LMNP and LKJQ,

LK = LM = LQ = LP         (Given)

JK = JQ = NM = NP        (Given)

∠KJQ = ∠MNP          (Given)

∠KLQ = ∠MLP           (Given)

∠JKL = ∠NML            (Given)

∠JQL = ∠NPL            (Given)

The ratio of all the corresponding sides and corresponding angles is one. Then the quadrilateral is congruent with each other.

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Answer:

There are 68 students in the class after these changes.

Step-by-step explanation:

g = number of girls

b = number of boys

Because the ratio of girls to boys is 3:1, initally the equation was  

g = 3b                

Finally, we have

g-1 girls because one girl dropped the class

b+3 boys because three more boys signed up

Because the new ratio of girls to boys is 5:2, the new equation is  

(g - 1)/(b + 3) = 5/2

Cross multiply.

2(g - 1) = 5(b + 3)

2g - 2 = 5b + 15

2g - 5b = 17          

Then, substitute g (which is 3b because the first equation was g = 3b)

2(3b) - 5b = 17

b = 17

g = 3b = 3*17 = 51

g = 51

The final number of students in the class = 17 + 51 = 68

Answer: 68

The solution of the equation for b is b= 2d²/H

This involves taking a variable in an equation to stand alone

Note that this variable is different from the initial isolated variable

The equation is given as

1/2Hb = d²

Divide both sides of the equation by H

So, we have the following equation

1/2Hb/H = d²/H

Multiply both sides of the equation by 2

So, we have the following equation

2 * 1/2Hb/H = d²/H * 2

Evaluate the quotients and the products

b= 2d²/H

The above computation implies that:

We changed the subject of the formula in the equation 1/2Hb = d² from d² to b

This implies that solving for b is a concept of subject of formula

Hence, the solution is b= 2d²/H

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Answer:

48.65x6.2=301.63

Step-by-step explanation:

Answer:

down below

Step-by-step explanation:

301.63

It's a bit difficult to type this in a mobile so I won't put it. If you would like the explanation, I can always go back and edit my answer

Hope this helps! :)

A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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(a)To solve the system of equations, x^2 - y^2 = 16 and x^2 - y = 7, we can use substitution or elimination method to find the values of x and y.

(b) To graph the solution set of the system of inequalities, x^2 - y^2 > 7 and x^2 - y < 0, we need to plot the boundaries and shade the appropriate regions based on the given inequalities.

(a)Let's use the substitution method to solve the system of equations:

From the second equation, we can rewrite it as x^2 = y + 7.

Substituting this value of x^2 in the first equation, we get (y + 7) - y^2 = 16.

Rearranging the equation, we have -y^2 + y + 7 - 16 = 0.

Simplifying further, we get -y^2 + y - 9 = 0.

Now, we can solve this quadratic equation for y by factoring or using the quadratic formula.

After finding the values of y, we can substitute them back into the second equation to find the corresponding values of x.

(b)To graph the solution set, we first graph the boundaries of the inequalities. For x^2 - y^2 > 7, we draw the curve of the equation x^2 - y^2 = 7, which represents a hyperbola. For x^2 - y < 0, we graph the curve of the equation x^2 - y = 0, which represents a parabola opening upwards.

Next, we need to determine which regions satisfy the given inequalities. For x^2 - y^2 > 7, the shaded region lies outside the hyperbola. For x^2 - y < 0, the shaded region lies below the parabola.

By combining the shaded regions of both inequalities, we find the solution set of the system of inequalities. It includes the regions outside the hyperbola and below the parabola. We label the corners of the shaded region to indicate the solution set accurately.

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We can factor this polynomial with 4 terms without grouping.

Factor is a thing that influence decision or the situation.

How to factor polynomials with 4 term without groupingLet P(x) be a polynomial with four terms.

To factor P(x) without grouping, substitute

x = -1, 1, -2, 2, -3, 3.......

P(-1) = 0 ----> (x + 1) is a factor of P(x)

P(1) = 0 ----> (x - 1) is a factor of P(x)

P(-2) = 0 ----> (x + 2) is a factor of P(x)

P(2) = 0 ----> (x - 2) is a factor of P(x)

If P(-1) ≠ 0, then (x + 1) is not a factor of P(x).

Then, try x = 1, x = -2, x = 2 and so on.

Once one of the linear factors of P(x) is found, the other factors can bound easily (the rest of the process has been explained in the following examples).

Factor the following polynomials without grouping :

d as (x2 + ax + b).

Then,

(x + 1)((x2 + ax + b) = x3 - 2x2 - x + 2

Comparing the coefficients of x and constants,

b + a = -1 ----(1)

b = 2

Substitute b = 2 in (1).

2 + a = -1

a = -3

x2 + ax + b = x2 - 3x + 2

Factors of (x2 - 3x + 2) are (x - 1) and (x - 2).

Therefore,

x3 - 2x2 - x + 2 = (x + 1)(x - 1)(x - 2)

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The equation for the graph in the interval is y = 3/2x - 1/2

From the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(-1, -2) and (3, 4)

The equation of the line is calculated as

y = mx + c

Where

c = y when x = 0

Using the points, we have

-m + c = -2

3m + c = 4

Subtract the equations

-4m = -6

So, we have

m = 3/2

This means that

y = 3/2x +c

Next, we have

3/2 * 3 + c = 4

This gives

c = -1/2

Hence, the equation of the line is y = 3/2x - 1/2

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The probability that the mean score of the 49 seniors is greater than 20 is 0.0516. To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means from a population with any distribution will approach a normal distribution as the sample size increases.

First, we need to find the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the mean. We can use the formula SEM = σ / √n, where σ is the population standard deviation, and n is the sample size.

In this case, σ = 6.0 and n = 49, so SEM = 6.0 / √49 = 0.857.

Next, we need to standardize the sample mean using the z-score formula: z = (x - μ) / SEM, where x is the sample mean, μ is the population mean, and SEM is the standard error of the mean.

In this case, x = 20, μ = 18.6, and SEM = 0.857, so z = (20 - 18.6) / 0.857 = 1.63.

Finally, we need to find the probability that a standard normal distribution is greater than 1.63, which is 0.0516 when rounded to 4 decimal places.

Therefore, the probability that the mean score of the 49 seniors is greater than 20 is 0.0516.

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Answer: 58 degrees

Step-by-step explanation:

Answer:

i cant see it .

Step-by-step expect me how do expect me to help you .