A sample of 110 one-year-old spotted flounder had a mean length of 120.18 millimeters with a sample standard deviation of 18.08 millimeters, and a sample of 138 two-year-old spotted flounder had a mean length of 134.96 millimeters with a sample standard deviation of 27.41 millimeters. Construct a 95% confidence interval for the mean length difference between two-year-old flounder and one-year-old flounder. Let μ_1, denote the mean length of two-year-old flounder and round the answers to at least two decimal places.
A 95% confidence interval for the mean length difference, in millimeters, between two- year-old flounder and one-year-old flounder is ____ <μ_1 - μ_2 < _____

the answer is a decimal

Step-by-step explanation:

-2(3h-1) = 5(2h-3)

clear brackets

-6h+2 = 10h-15

collect like terms

-6h-10h = -15-2

-16h = -17

divide the coefficient of h

h = -17 \ -16

h = 1.0625

Perpendicular sides or lines meet at right angles. The conclusion that can be reached is that:

1. all of the rings are perpendicular to that side.

The statements in the question can be listed as:

From statements 1 and 2 above, we understand that;

All other rings in the ladder are parallel to the side ring

This means that the relationship between the top ring and the side of the ladder is the same as the relationship between other rings and the side of the ladder

i.e. the side rings are also perpendicular to the side of the ladder

Hence, the conclusion that can be reached is:

1. all of the rings are perpendicular to that side.

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75.13 cm^2

here , radius r is given in inches so

1 inch =2.54 cm

3 in = 7.62 cm

arear of circle = pi × radius

Area( 3.14 )^22 *

7.62 gives the answer as 75.13

The angular velocity of a person standing on the equator is ω = 1.026 × 10⁻⁴ rad/s

Angular velocity is the number of revolution per second of an object.

Since a planet rotates through one complete revolution every 17 hours and since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 17 hours. We thus require its angular velocity.

The angular velocity is given by ω = 2π/T where T = period of revolution

Since the planet rotates through one complete revolution every 17 hours, its period, T = 17 hours = 17 h × 60 min/h × 60 s/min = 61200 s

So, substituting the period into the equation for the angular velocity, we have

ω = 2π/T

ω = 2π/61200 s

ω = π/30600 s

ω = 0.0001026 rad/s

ω = 1.026 × 10⁻⁴ rad/s

So, the angular velocity is ω = 1.026 × 10⁻⁴ rad/s

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Answer:B

Step-by-step explanation:

It says split so you would split v by 2

Answer:

See Explanation

Step-by-step explanation:

Given

\(ABD = 0.18x +67\)

\(CBD = 0.07x + 48\)

Required

Find x

The question is incomplete as the relationship between ABD and CBD is not stated.

Assume ABD = CBD

The solution is:

\(0.18x + 67 = 0.07x + 48\)

Collect like terms

\(0.18x - 0.07x= - 67 + 48\)

\(0.11x= -19\)

Solve for x

\(x = -\frac{19}{0.11}\)

\(x = -172.72\)

Assume ABD and CBD are supplementary

The solution is:

\(ABD + CBD=180\)

\(0.18x + 67 + 0.07x + 48 = 180\)

Collect like terms

\(0.18x + 0.07x = - 48 - 67 + 180\)

\(0.25x = 65\)

Solve for x

\(x = \frac{65}{0.25}\)

\(x = 260\)

Assume ABD and CBD are complementary

The solution is:

\(ABD + CBD=90\)

\(0.18x + 67 + 0.07x + 48 = 90\)

Collect like terms

\(0.18x + 0.07x = - 48 - 67 + 90\)

\(0.25x = -25\)

Solve for x

\(x = \frac{-25}{0.25}\)

\(x = -100\)

Answer: x=4

Step-by-step explanation:

firstly you solve the barracks first by multipy 2 into ( x+8) after that you collect like terms on one side of the equation or make x become the subject of the equation and solve for x

Answer:

11m

Step-by-step explanation:

Simplify

9m+3m−m

=9m+3m+−m

Combine Like Terms:

=9m+3m+−m

=(9m+3m+−m)

=11m

Answer:

=11m

Answer:

11m

Step-by-step explanation:

9m + 3m - m = ?

just look at it without the variables: m

9 + 3 - 1 = ?

The reason there is a 1 before the m is because there is always atleast a 1 before a variable. 1 x m = m, but 0 x m = 0. so '1'.

ok so now lets solve

9 + 3 - 1

 12 - 1

    11

so the answer is 11, add the variables back

9m + 3m - m

    12m - m

        11m

the missing angle measurement using the angle addition postulate are:

An angle is a geometric figure formed by two rays or line segments that share a common endpoint, known as the vertex. Angles are typically measured in degrees or radians.

According to the given information:

The angle addition postulate is a rule used to find the measure of an angle created by two adjacent angles. If two adjacent angles are known, then their sum will equal the measure of the larger angle formed by the two adjacent angles. To use the angle addition postulate, add the measures of the known adjacent angles to find the measure of the larger angle.

In the given set of angles, we are asked to use the angle addition postulate to find the missing angle measures. We can use this rule to find the missing angles by adding the measures of the known adjacent angles. By doing so, we can find the measure of the larger angle formed by the two adjacent angles. It is essential to note that this rule only applies to adjacent angles. Therefore, we can only use the angle addition postulate to find the missing angle measurements for angles that share a common vertex and side

LABC = 60 degrees (angle addition postulate states that the sum of the measures of two adjacent angles is equal to the measure of the larger angle formed by the two adjacent angles)L

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The probability of getting at least one nun in three spins of a dreidel is approximately 0.578

The probability is the ratio of number of favorable outcomes to the total number of outcomes

The probability of getting no nuns in a single spin is 3/4, since there are three non-nun letters (Gimel, Hei, Shin) and four total letters.

The probability of getting no nuns in three spins is then (3/4)^3, since the spins are independent and we can multiply probabilities of independent events.

So the probability of getting at least one nun in three spins is

= 1 - (3/4)^3

= 1 - 0.421875

= 0.578125

Therefore, the probability of getting at least one nun is 0.578

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The given question is incomplete, the complete question is:

A dreidel is a four-sided spinning top with the Hebrew letters nun, gimel, hei, and shin, one on each side. Each side is equally likely to come up in a single spin of the dreidel. Suppose you spin a dreidel three times. Calculate the probability of getting (a) at least one nun?

The solution of the inequality 4x < x+6 is x < 2.

To solve the inequality 4x < x+6, we need to isolate the variable on one side of the inequality. Here are the steps:

1. Subtract x from both sides of the inequality: 4x - x < 6

2. Simplify: 3x < 6

3. Divide both sides by 3: x < 2

So the solution to the inequality is x < 2.

To show this on the number line, we need to draw a line and mark the number 2 on it. Then we need to shade the region to the left of 2 to indicate that all values less than 2 are solutions to the inequality.

Here is the number line representation of the solution:

The "o" represents an open circle, which indicates that the number 2 is not included in the solution. The shaded region to the left of 2 represents all values less than 2, which are the solutions to the inequality.

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Answer:

1. 5.75 * 33 = $189.75

The bakers income is $189.75

2. 2 * y - 8 / 4 when y = 7

  2 * 7 - 8 / 4 = 12

3. 76 + 4 * y^2 + 1 when y = 3

   76 + 4 * 3^2 + 1 = 113

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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The probability that Rosa's mom chooses sausage and onion is: 1/8C₂.

Probability refers to the chance of an event occurring. It is given by the formula: number of favorable outcomes/number of total outcomes. The total number of groups from which Rosa's mom can make her choice is 1 and this is the number of favorable outcomes.

But, the total number of outcomes that Rosa can hope to expect are 2 two toppings(sausage or onions) out of 8. So, the selected answer is the representation of the probability.

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The rate of discount for the CD radio cassette is 17.65%.

To calculate the rate of discount, we need to find the difference between the original price and the discounted price, and then divide that difference by the original price.

Original price: $16,999

Discounted price: $13,999

So, the Discount amount

= Original price - Discounted price

= $16,999 - $13,999

= $3,000

Rate of discount = (Discount amount / Original price) * 100%

= ($3,000 / $16,999) x 100%

≈ 17.65%

Therefore, the rate of discount for the CD radio cassette is 17.65%.

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Answer:

We fail to reject the Null and conclude that the standard deviation of the contributions of all sanitation workers is not greater than that of all workers living in the city.

Step-by-step explanation:

σ = 1.40 ; σ² = 1.40² = 1.96

H0 : σ² = 1.96

H0 : σ² > 1.96

Given that:

Sample size, n = 12

Population Standard deviation, σ = 1.40

Sample standard deviation, s = 1.75

α = 0.01

The test statistic :

χ² = [(n-1)s²] ÷ σ²

χ² = [(12 - 1) * 1.75²] ÷ 1.40²

χ² = (11 * 3.0625) ÷ 1.96

χ² = 33.6875 / 1.96

χ² = 17.1875

χ² = 17.19

Using the Pvalue from Chisquare score calculator;

df = n - 1 ; 12 - 1 = 11

Pvalue ; χ²(17.19, 11) = 0.10238

Since Pvalue > α ; We fail to reject the Null and conclude that the standard deviation of the contributions of all sanitation workers is not greater than that of all workers living in the city.

Answer:

They will be able to have their break together in 60 minutes.

Step-by-step explanation:

You will have to find the least common multiple (LCM) between 20 and 30.

The prime factorization of 20 is: 2 x 2 x 5

The prime factorization of 30 is: 2 x 3 x 5

Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(20,20) = 60

Only one of the following functions is a solution of the differential equation y′′−9y′+18y=0.

The second-order homogeneous linear differential equation is given as:y'' - 9y' + 18y = 0This differential equation is a linear homogeneous equation. We will have two roots of the characteristic equation: r1 = 3, r2 = 6So, the general solution to the differential equation is given as:y = c1e3x + c2e6xwhere c1 and c2 are arbitrary constants.a. y(x) = e6x is a solution because it is a part of the general solution of the differential equation.y(x) = e−x, y(x) = 0, y(x) = 6x, y(x) = 3x, y(x) = ex are not solutions because they don't satisfy the differential equation. Hence, the correct options are:a. y(x) = e6xTherefore, only one of the following functions is a solution of the differential equation y′′−9y′+18y=0.

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Answer:

I guess, as long as this is an act of kindness. Thanks?

Answer:

x=7

Step-by-step explanation:

Solution of your latest question

because i can't get any answer option there ....so posting it heree .....

hope you get it before it got deleted

Answer:

The factors of 21 are 1, 3, 7 and 21. A factor is a number that can divide evenly into a given number. Because 21 can be divided by numbers other than itself and 1, it is called a composite number. Every number has 1 and itself as a factor. Numbers that have no other factors are called prime numbers.

Step-by-step explanation:

Answer:

-190

Step-by-step explanation:

100+(-190)=-90

hope this is correct! c:

Answer:

Step-by-step explanation:

Decrease £262 by 39%

----------------------------------------------------------------

In short you could put this as:

The given scenario describes a random walk model for a company's product demand, where the demand at each time period is influenced by the previous demand and a normally distributed change. The demand change is represented by Δt+1 ∼ N(3,9), and the initial demand is D0 = 80 units.

The subsequent questions inquire about the probability of tomorrow's demand exceeding a certain level, the probability distribution of the number of days the demand goes up in a month, and the marginal probability of the demand going up for a specific number of days.
In question 6, we are asked to find the probability P(D1 > 86), which represents the likelihood of tomorrow's demand exceeding 86 units given that today's demand level is observed. To calculate this probability, we need to utilize the properties of the normal distribution and apply the parameters provided (mean = 3, standard deviation = √9 = 3) to determine the z-score associated with 86. By using a standard normal distribution table or a statistical software, we can find the corresponding probability.
In question 7, the variable U represents the number of days the demand goes up out of the next 30 days. To determine the probability distribution of U, we need to consider the properties of the normal distribution for each day. Since Δt+1 follows a normal distribution with a mean of 3, the probability of Δt+1 being greater than 0 (indicating an increase in demand) can be calculated. By applying the properties of independent and identically distributed random variables, we can determine the probability distribution of U.
In question 8, we are asked to find the marginal probability of the demand going up for 25 out of the next 30 days, represented as P(U > 25). By applying the probability distribution obtained in question 7, we can calculate the cumulative probability of U being greater than 25 using the probability mass function or cumulative distribution function of the distribution.
It is important to note that specific calculations are required to obtain the precise probabilities in questions 6, 7, and 8, using the provided parameters and probability distribution properties.

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When the first ball is red, there is a 0.57 percent chance that the second ball will also be red.

The chances that an occurrence will take place or a claim will be true is measured by statistical mechanics, a discipline of mathematics. The probability of an action is a numeric value and 1, where about 0 represents how likely the action is to occur and value of 1 indicates certainty. A probability is a quantifiable illustration of the odds that a specific occurrence will actually happen. Probabilities can also be expressed using percentages ranging from 0% and 100% or from 0 to 1. the ratio of the number of outcomes to the proportion all occurrences in a whole set o equally likely options that lead to a specific occurrence.

There are seven balls in total.

The sample space is

7! / 2!5!

=21 ways

P(red ball and a green ball) =12/21

=4/7

When the first ball is red, there is a 0.57 percent chance that the second ball will also be red.

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Answer:

17) 3   18) 3

Step-by-step explanation:

Answer:

17. C

18. C

Step-by-step explanation:

The greater the negative number, the less the number values. -10 is smaller than -8 because -10 is farther away from the number line to the left.

Go in terms of the tenths place. If its smaller than the number will be less than the bigger numbers. 0.227 is bigger than 0.18 because it has a 2 in the tenths place.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

perpendicular bisector of a segment

Step-by-step explanation:

When using compass and drawing two arcs, the point the two arcs intersect at a point above and below the line, when connect the two point it forms a perpendicular bisector of a segment

Answer:

? = 10

Step-by-step explanation:

5/6 x 3/10 = 15/60

(15/15) / (60/15) = 1/4

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Omar should go back and regroup the terms in step 1 as (3x^3 – 15x^2) – (4x + 20). In step 2, Omar should factor only out of the first expression.

When factoring polynomials, it is essential to look for common factors that can be factored out. In this case, Omar noticed that there are no common factors in the given polynomial. To proceed, he should go back and regroup the terms in step 1 as (3x^3 – 15x^2) – (4x + 20).

This regrouping allows Omar to factor out of the first expression, which can potentially lead to further factoring or simplification. However, without additional information about the polynomial or any specific instructions, it is not possible to determine the exact steps Omar should take after this point.

In summary, regrouping the terms and factoring out of the first expression is a reasonable next step for Omar to explore the polynomial further.

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When a scatter chart of data shows a nonlinear relationship, the nonlinear model can be expressed in different forms depending on the nature of the relationship.

Some possible forms of the nonlinear model are:
- y= Bo + B1 x1 + B2 x12 + ε: This form of the nonlinear model includes a linear term (B1 x1) and a quadratic term (B2 x12) to capture the curvilinear relationship between x1 and y. The error term (ε) represents the unexplained variability in y that is not accounted for by the model.
- y = Bo + B2 xq2 + B2 xz ² + E: This form of the nonlinear model includes only quadratic terms (B2 xq2 and B2 xz ²) to capture the curvilinear relationship between xq and xz and y. The error term (E) represents the unexplained variability in y that is not accounted for by the model.
- Oy = Bo + B1 *1 + (B2 xq)2+ &: This form of the nonlinear model includes a linear term (B1 x1) and a squared term (B2 xq)2 to capture the curvilinear relationship between xq and y. The error term (&) represents the unexplained variability in y that is not accounted for by the model.
- Oy= bo + by X2 + b2 xq 2: This form of the nonlinear model includes a linear term (by X2) and a quadratic term (b2 xq 2) to capture the curvilinear relationship between xq and y. The constant term (bo) represents the intercept of the model, and the error term represents the unexplained variability in y that is not accounted for by the model.

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