7. Mrs. Jackson's class reads for a total
of 1,544 minutes one day. Each of her
32 students read the same number of
minutes. How many minutes did each
student read?

The study would use a simple random sampling because it would be easy to randomly select. The study would use cluster sampling because the of fall into naturally occurring subgroups. The study would use stratified sampling because it would be important to have members from each segment of the population.

The study is a sample survey, because the population is for it to be practical to record all of the responses.

a. The study would use a simple random sampling because it would be easy to randomly select members of the population. Simple random sampling is a type of probability sampling that is used when the population is homogenous and every member has an equal chance of being selected for the sample.

b. The study would use cluster sampling because the members of the population fall into naturally occurring subgroups. Cluster sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into naturally occurring subgroups.

c. The study would use stratified sampling because it would be important to have members from each segment of the population. Stratified sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into segments or strata based on certain characteristics.

d. The study is a sample survey, because the population is too large for it to be practical to record all of the responses. Sample survey is a type of survey that collects data from a sample of the population, rather than the entire population. This is often done when the population is too large or when it is not practical to survey the entire population.

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Step-by-step explanation:

step 1: how many dolphins

there are 6 sharks

sharks to dolphins is 3 to 5

3 S to 5 D

we can divide 6 (amount of sharks known) by 3, to get what a ratio of 1 is

6 ÷ 3 = 2

so 2 sharks is = 1 part or ratio

now we can times by 5 to get a ratio of 5

5 × 2 = 10

there are 10 Dolphins

Step 2: How many starfish

repeat the steps above but for the ratio 2: 7 where 2 is the Dolfin ratio and there are 10 dolphins

put in questions answer you got

Answer:

35 starfish

Step-by-step explanation:

shark/dolphin  *  dolphin /starfish = shark / starfish

Now. put in the numbers given:

3/5 * 2/7 =      6/35  = shark / starfish    put in '6' for shark (given)

        6/35 = 6/starfish        cross multiply

        6 * starfish = 35* 6

           starfish = 35  

Answer:

(- 1, 1 )

Step-by-step explanation:

Given the 2 equations

2x - y = - 3 → (1)

x + y = 0 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

3x = - 3 ( divide both sides by 3 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

- 1 + y = 0 ( add 1 to both sides )

y = 1

Solution is (- 1, 1 )

Answer:

(-1, 1)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Start at any point on the line, for example (0, 1).

Each unit up correspond to a unit right. The next easy to read point going up to the right is (1, 2).

difference in y: 2 - 1 = 1

difference in x: 1 - 0 = 1

gradient = (difference in y)/(difference in x) = 1/1 = 1

Answer:

\(\huge\boxed{\sf Slope = 1 }\)

Step-by-step explanation:

Take any two co-ordinates from the line.

I will take (0,1) and (-1,0)

So,

\((x_1,y_1)=(0,1)\\\\(x_2,y_2)=(-1,0)\)

\(\displaystyle Slope = \frac{y_2-y_1}{x_2-x_1} \\\\Slope = \frac{0-1}{-1-0} \\\\Slope = \frac{-1}{-1} \\\\Slope = 1 \\\\\rule[225]{225}{2}\)

The ages of Wilson, Randy and Greg given their total ages is 7, 10 and 15 years respectively.

This means that the total ages of Wilson, Randy and Greg is 7 years, 10 years and 15 years.

Let's represent the information above as follows:

The total ages = Wilson + Randy + Greg

That is, Wilson's age, Randy's age and Greg's ages is given as:

32 = x + (x + 3) + (x + 3) + 5

32 = x + x + 3 + x + 3 + 5

32 = 3x + 11

32 - 11 = 3x

21 = 3x

x = 21/3

x = 7 years

Therefore, from the calculations above,

Wilson's age = x

= 7 years

Randy's age = (x + 3)

= 7 + 3

= 10 years

Greg = (x + 3) + 5

= (10) + 5

= 15 years

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The common ratio for infinite geometric series with first term -3/2 and sums twice the common ratio is -1/2.

First keep in mind the common ratio must -1 < r < 1 for geometric series converges.

Common ratio can be calculated using standard formula for infinite geometric series converges which is Sum = a/(1-r) with a as first term and r as common ratio. So,

Since sum is twice the common ratio, so the equation is

2r = a/(1-r)

we can substitute (1-r). So,

2r(1-r) = a

2r-2r^2 = -3/2

we can multiple all by two. So,

4r-4r^2 = -3

0 = 4r^2-4r-3

0 = (2r-3)(2r+1)

So the result is either r = 3/2 or r = -1/2. as previously mentioned above, r result only in -1 < r < 1. So, the result of r = 3/2 is rejected.

Thus, the common ratio is -1/2.

You question is incomplete, but most probably your full question was

An infinite geometric series has first term -3/2 and sums to twice the common ratio. Find the sum of all possible values for the common ratio.

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circumference/diameter = 3.14159

•given that is smallest angle of rotational symmetry for a regular polygon is 30

•we have to find the number of side does the regular polygon have

•if we can rotate of figure around a center point be fewer than 360° and the figure appears and change then the figure has the rotation symmetry

no. of side= 360/ smallest angle at centre=12

I hope it's help

Answer:

the answer is D

Step-by-step explanation:

Answer:

67°

Step-by-step explanation:

● cos<PQR = adjacent/hypotenus

● cos<PQR = 5/13

● cos< PQR = 0.384

Using a calculator:

● cos^-1(0.384) = 67°

● <PQR = 67°

To find the slope of a segment given its coordinates and endpoints, we can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)

Given the coordinates and endpoints (x, 4y) and (-x, 4y), we can calculate the change in y-coordinates and change in x-coordinates as follows:

Change in y-coordinates = 4y - 4y = 0
Change in x-coordinates = -x - x = -2x

Now we can substitute these values into the slope formula:

slope = (0) / (-2x) = 0

Therefore, the expression for the slope of the segment is 0.

The slope of the segment is 0. The slope is determined by calculating the change in y-coordinates and the change in x-coordinates, and in this case, the change in y-coordinates is 0 and the change in x-coordinates is -2x. By substituting these values into the slope formula, we find that the slope is 0.

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The hotel owner needs approximately 2,248 square feet of fabric to make a pool covering for the winter for their regular hexagonal pool with a side-to-side length of 30 feet.

To calculate the area of the pool, we first need to find the apothem (the distance from the center of the hexagon to the midpoint of any side). For a regular hexagon, the apothem is equal to the side length times the square root of 3 divided by 2. So, the apothem of this hexagonal pool is:

apothem = 30 × √3/2 = 25.980762

The area of a regular hexagon is given by the formula:

area = 3 × √3/2 × apothem^2

Substituting the value of the apothem, we get:

area = 3 × √3/2 × 25.980762^2 = 2247.72

Rounding this to the nearest square foot, the hotel owner will need approximately 2,248 square feet of fabric to construct the cover for the pool.

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Suppose that Tn is an unbiased estimator of O determined from a random sample of size n. The statement that is correct regarding Tn as a consistent estimator of O is option B: lim V(Tn) = 0. n->00.

An estimator is a calculated or measured value that can be used to approximate a parameter that is unknown in a statistical model. An estimator is unbiased if the expected value of the estimator is equal to the true value of the parameter. Consistency of an estimator: If an estimator converges in probability to the true parameter value, the estimator is said to be consistent. If an estimator is both unbiased and consistent, it is said to be efficient.

The variance of an estimator: Variance is a statistical measure of the variability of a distribution or population. The variance of an estimator reflects how much variability is present in the estimator's values across different samples. A consistent estimator is one for which the variance of the estimator approaches zero as the sample size grows. Answer option B.

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Answer:

f(1) = 14000

f(n) = f(n - 1) · 0.9 , for n ≥ 2

The next term in the sequence is 10206 .

Step-by-step explanation:

First we try to find the type of sequence it is.

Is there a common difference?

12600 - 14000 = -1400

11340 - 12600 = -1260

There is no common difference, so it is not an arithmetic sequence.

12600/14000 = 0.9

11340/12600 = 0.9

There is a common ratio, so this is a geometric sequence.

Each term is 0.9 times the previous term.

The next term is:

11340 * 0.9 = 10206

Answer:

f(1) = 14000

f(n) = f(n - 1) · 0.9 , for n ≥ 2

The next term in the sequence is 10206 .

Answer:

-x³ - 11x² + 5x + 1

Step-by-step explanation:

In case you cant read it it says: -x^3 - -11x^2 + 5x + 1

Hope this helps!

Given the ODE using Frobenius Method x²y"+x²y¹-2y = 0The Frobenius method is used to obtain the power series solution of a differential equation of the form:

xy″+p(x)y′+q(x)y=0Which is given in your question as: x²y"+x²y¹-2y = 0The general form of the Frobenius solution can be expressed as a power series of the form:y(x)=x^r ∑_(n=0)^(∞) a_n x^n+rwhere 'r' is any arbitrary constant and the 'a_n' coefficients are determined from the recurrence relation.

The Frobenius method consists of substituting this power series into the differential equation and equating the coefficient of the same powers of x to zero. This method can be used to solve any second-order differential equation having a regular singular point.

Therefore, substituting the given equation we get:$$ x^2 y'' + x^2 y' - 2y = 0 $$Let the solution of the given equation be:y(x) = ∑_(n=0)^(∞) a_n x^(n + r)Substituting this in the differential equation, we get:$$ x^2y'' + x^2y' - 2y = \sum_{n=0}^\infty a_n [(n+r)(n+r-1)x^{n+r} + (n+r)x^{n+r} - 2x^{n+r}] $$Equating the coefficient of each power of x to zero, we get:Coefficients of x^(r):$$ r(r-1)a_0 = 0 \Rightarrow r=0,1 $$Coefficients of x^(r + 1):$$ (r+1)r a_1 + (r+1)a_1 - 2a_0 = 0 $$Taking r = 0, we get:a_1 - 2a_0 = 0a_1 = 2a_0

The solution becomes:y_1(x) = a_0 [1 + 2x]Taking r = 1, we get:$$ 6a_2 + 3a_1 - 2a_0 = 0 $$a_2 = (1/6) [2a_0 - 3a_1]Substituting the value of a_1 from above, we get:a_2 = a_0/3The second solution is given by:y_2(x) = a_0 [x^2/3 - 2x/3]Therefore, the required solution of the given ODE using Frobenius method is:y(x) = c_1 y_1(x) + c_2 y_2(x)y(x) = c_1 [1 + 2x] + c_2 [x^2/3 - 2x/3]

Hence, the second and third-degree Legendre polynomials generated and the solution of the given ODE using the Frobenius method is obtained above.

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Anderson could provide 0.5x2 + 4x + 8 = 0 has exactly one real root if the discriminant is 0,

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.

A polynomial's discriminant is a quantity that depends on the coefficients and enables for some root attributes to be inferred without actually computing them. It is actually a polynomial function of the original polynomial's coefficients.

0.5x^2 + 4x + 8 = 0

The discriminant is computed utilizing:

d = b^2 - 4ac

Thus, we have:

d = 4^2 - 4 * 0.5 * 8

Evaluate

d = 0

The equation has only one real root since the discriminant is 0,

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Answer:

1) 12   2) 2y    3) 12+2y   4) 12+2y

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Angle L= 53 degrees. Side ML = 4.521 and Side NL= 7.513

Step-by-step explanation:

Answer:

Step-by-step explanation:

SOLVING

================================================================

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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The residual term of the third-order Taylor polynomial, centred at 0, can be used to calculate the absolute error in the approximation of In(1.08).

The following formula is the nth-order Taylor polynomial of a function f(x) centred at a:

Pn(x) is equal to f(a) + f'(a)(x - a) + (1/2!)f''(a)(x - a)2 +... + (1/n!)fn(a)(x - a)n.

The difference between the function's real value and the value generated from the nth-order Taylor polynomial is known as the remainder term, indicated by the symbol Rn(x):

Rn(x) equals f(x) - Pn(x).

In our example, a = 0, n = 3, and f(x) = In(1 + x). The third-order Taylor polynomial with a 0 central value is thus:

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Answer:

No

Step-by-step explanation:

The angels are not similar. The first triangle has the top corner as 36 degrees and the bottom right as 72 degrees, which matches with the second triangle. But the second triangle has 33 degrees as the top instead of 36, so the triangles are not similar.

Step-by-step explanation:

I hope it's correct thanks me nalang kung correct

The probability that a Chihuahua with heart problems is male is 71.43%.

Let's assume that there are 100 Chihuahuas in the country, with 50 males and 50 females. Out of 50 males, 5% or 2.5 males are expected to have heart problems. Similarly, out of 50 females, 2% or 1 female is expected to have heart problems.

Thus, the total number of Chihuahuas with heart problems is

2.5 + 1 = 3.5.

Out of these 3.5 dogs, 2.5 are males.

Therefore, the probability that a Chihuahua with heart problems is male is 2.5/3.5 = 71.43%.

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Complete Question:

Suppose that out of all Chihuahua dogs in the country, 5% of males and 2% of females suffer from heart disease. The number of males and females is considered to be equal, and a dog is randomly selected that is found to have heart problems. What is the probability that it is male?

Therefore , the solution of the given problem of percentage comes out to be the salesperson's yearly profits came to $45,600.

In statistics, "a%" is the abbreviation for a value or figure expressed as a percentage of 100. Versions with the letters "pct," "pct," or "pc" at the beginning are also rare. However, the most typical method to do so is with the percentage sign ("%"). In addition, there are no indications or a flat ratio of each individual component to the overall figure. Since numbers commonly add up to 100, they are essentially integers.

Here,

The commission earned on sales exceeding $200,000 must be calculated and added to the salesperson's basic pay of $12,000 to determine their total earnings for the year.

Sales of more than $200,000 are as follows:

=> $620,000 - $200,000 = $420,000

The commission earned is as follows because the commission rate on this sum is 8%:

=> $0.08 \times $420,000 ≈ $33,600

Including this to the $12,000 basic pay yields:

=> Total income = $12,000 +  $33,600, = r$45,600.$

As a result, the salesperson's yearly profits came to $45,600.

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The value of P((A ∩ B) ∪ (C ∪ D ∩ E))' is approximately 0.1571. the probability that component A is not working given that the system works is approximately 0.001.

To calculate the values in Part 1 and Part 2, we'll use basic probability rules and formulas.

Given: P(A) = P(B) = 0.77, P(C) = P(D) = P(E) = 0.85

Part 1: We want to find the probability of the complement of the event (A ∩ B) ∪ (C ∪ D ∩ E), denoted as P((A ∩ B) ∪ (C ∪ D ∩ E))'.

Using De Morgan's law, the complement of a union is the intersection of complements:

P((A ∩ B) ∪ (C ∪ D ∩ E))' = P((A ∩ B)') ∩ (C ∪ D ∩ E)'

The complement of an intersection is the union of complements:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (P(A') ∪ P(B')) ∩ (P(C') ∩ P(D') ∩ P(E'))

Substituting the given probabilities:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (1 - P(A)) ∪ (1 - P(B)) ∩ (1 - P(C)) ∩ (1 - P(D)) ∩ (1 - P(E))

Calculating the values:

P(A') = 1 - P(A) = 1 - 0.77 = 0.23

P(B') = 1 - P(B) = 1 - 0.77 = 0.23

P(C') = 1 - P(C) = 1 - 0.85 = 0.15

P(D') = 1 - P(D) = 1 - 0.85 = 0.15

P(E') = 1 - P(E) = 1 - 0.85 = 0.15

Now, we calculate the final probability:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (0.23 ∪ 0.23) ∩ (0.15 ∩ 0.15 ∩ 0.15)

                          = 0.23 ∩ 0.15 = 0.1571 (rounded to 4 decimal places)

Therefore, the value of P((A ∩ B) ∪ (C ∪ D ∩ E))' is approximately 0.1571.

Part 2: We want to find the probability that component A is not working given that the system works, denoted as P(A' | System Works).

Using the conditional probability formula:

P(A' | System Works) = P(A' ∩ System Works) / P(System Works)

To calculate the numerator:

P(A' ∩ System Works) = P(A' ∩ B' ∩ C' ∩ D' ∩ E')

                    = P(A') ∩ P(B') ∩ P(C') ∩ P(D') ∩ P(E')

                    = 0.23 ∩ 0.23 ∩ 0.15 ∩ 0.15 ∩ 0.15  = 0.0002634 (rounded to 7 decimal places)

To calculate the denominator:

P(System Works) = 1 - P(A' ∪ B' ∪ C' ∪ D' ∪ E')

= 1 - (P(A') ∪ P(B') ∪ P(C') ∪ P(D') ∪ P(E')) = 1 - (0.23 ∪ 0.23 ∪ 0.15 ∪ 0.15 ∪ 0.15) = 1 - 0.66 = 0.34

Now, we calculate the final probability:

P(A' | System Works) = P(A' ∩ System Works) / P(System Works)

= 0.0002634 / 0.34 = 0.0007735 (rounded to 7 decimal places)

Therefore, the probability that component A is not working given that the system works is approximately 0.001.

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The complete question is:<The reliability (probability of working) of each component is specified as follows and the components work or fail independently. P(A) = P(B) = 0.77 P(C) = P(D) = P(E) = 0.85 A B с DHE Part 1 What is the value of P((ANB) U(CODn E))' (Enter your answer with 3 decimal digits.) 0.1571 100% Part 2 What is the probability that the component A is not working given that the system works? (Enter your answer with 3 decimal digits.) Hint: Think of a conditional probability definition.>

The number of mole of air present is 0.056 mole

The number of mole present can be obtained by using the ideal gas equation as illustrated below:

PV = nRT

Divide both side by RT

n = PV / RT

n = (750 × 1.35) / (62.396 × 290)

n = 0.056 mole

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Answer:

the answer on edge is c

Step-by-step explanation:

edge 2022