Newton is thinking of a number that is greater than 0.4 and less than 0.5. The greatest digit in the number is in the hundredths place. What might Newton’s number be?

Answer:

She would earn $200 for working 10 hours

Step-by-step explanation:

100/5= $20 per hour

10hr multiplied by $20= $200

Answer:

$200 (read below for reasoning)

Step-by-step explanation:

Since 5x2 is 10, we can double both 5 and 100 to get the amount of money Tina will earn in 5 hours. Since 100x2 is 200, Tina will earn $200 in 10 hours. In other words, her wage would double. I hope this helps!

The given statement "If A is n × n an orthogonal. Then for all X, Y ∈ Rₙ we have AX · AY = X · Y" is proved.

Given that A is a n * n order matrix.

And X, Y ∈ Rₙ so,

|X - Y|² = (X - Y) * (X - Y)

|X - Y|² = |X|² - 2 * X * Y + |Y|²

2 * X * Y = |X|² + |Y|² - |X - Y|²

Since A is orthogonal matrix so,

2 * (AX * AY) = |AX|² + |AY|² - |AX - AY|²

2 * (AX * AY) = |X|² + |Y|² - |X - Y|²

2 * (AX * AY) = 2 * X * Y

(AX * AY) =  X * Y

Hence the statement is proved.

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The question is incomplete. The complete question will be -

"Suppose that A is n × n an orthogonal. Then for all X, Y ∈ Rₙ we have

AX · AY = X · Y"

The probability that someone consumed > 36 gallons of bottled water is 27.09%. The probability that someone consumed between 30 and 40 gallons of bottled water is 63.72%.

The per capita consumption of bottled water is normally distributed with a mean of 30.9 gallons and a standard deviation of 10 gallons.

The formula to find the probability that someone consumed more than 36 gallons of bottled water is:

P(X > 36) = 1 - P(X ≤ 36)

By plugging in the values, we have:

P(X > 36) = 1 - P(Z ≤ (36 - 30.9) / 10) = 1 - P(Z ≤ 0.61)

From the z-table, we find that the probability of Z ≤ 0.61 is 0.7291.

Therefore, P(X > 36) = 1 - 0.7291 = 0.2709 or 27.09%.

The formula to find the probability that someone consumed between 30 and 40 gallons of bottled water is:

P(30 ≤ X ≤ 40) = P(Z ≤ (40 - 30.9) / 10) - P(Z ≤ (30 - 30.9) / 10)

By plugging in the values, we have:

P(30 ≤ X ≤ 40) = P(Z ≤ 0.91) - P(Z ≤ -0.91)

From the z-table, we find that the probability of Z ≤ 0.91 is 0.8186 and the probability of Z ≤ -0.91 is 0.1814.

Therefore, P(30 ≤ X ≤ 40) = 0.8186 - 0.1814 = 0.6372 or 63.72%.

The formula to find the probability that someone consumed less than 30 gallons of bottled water is:

P(X < 30) = P(Z ≤ (30 - 30.9) / 10)

By plugging in the values, we have:

P(X < 30) = P(Z ≤ -0.09)

From the z-table, we find that the probability of Z ≤ -0.09 is 0.4641.

Therefore, P(X < 30) = 0.4641 or 46.41%.

We need to find the z-score for the 90th percentile. From the z-table, we find that the z-score for the 90th percentile is 1.28. Therefore, we can find the corresponding value of X by using the formula:

X = μ + zσ

By plugging in the values, we have:

X = 30.9 + 1.28(10) = 44.88

Therefore, 90% of people consumed less than 44.88 gallons of bottled water.

In conclusion, the probability that someone consumed more than 36 gallons of bottled water is 27.09%. The probability that someone consumed between 30 and 40 gallons of bottled water is 63.72%. The probability that someone consumed less than 30 gallons of bottled water is 46.41%. Finally, 90% of people consumed less than 44.88 gallons of bottled water.

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Answer:

14

Step-by-step explanation:

(7x-1)+(6x-1)=180

13x-2=180

13x=182

x=14

Answer:

x=14

Step-by-step explanation:

Unless on the outside of the parenthesis are zeroes

Answer:

It will became like this.

Hope this will help you.

Answer:

38.5, 77, 192.5

Step-by-step explanation:

x + 2x + 5x = 308

8x = 308

x = 38.5

38.5 + 2(38.5) + 5(38.5)

38.5 + 77 + 192.5 = 208

38.5, 77, 192.5

Answer:

The correct answer is 742,000

Step-by-step explanation:

Answer:

742,000

Step-by-step explanation:

Please give me brainlist

The given problem is concerned with hypothesis testing. The researcher believes that women today weigh less than in previous years. To investigate this belief, she randomly samples 41 adult women and records their weights. The obtained value of the appropriate statistic for testing H0 is t= -2.42.

Given that,

Population mean µ = 115 lbs

Sample mean x = 111 lbs

Sample size n = 41

Standard deviation σ = 12.4 lbs

hypothesis testing

Null hypothesis H0: µ = 115 lbs

Alternate hypothesis H1: µ < 115 lbs

Since the population standard deviation is unknown and the sample size is less than 30, we use a t-distribution to test the hypothesis. The formula for the t-test statistic is,

t= (x- µ)/(s/√n)

Where, x = sample mean, µ = population mean, s = sample standard deviation, and n = sample size

Substituting the given values in the above formula, we get,

t= (111 - 115) / (12.4/ √41)t= -4 / 1.93t= -2.07

The obtained value of the appropriate statistic for testing H0 is t= -2.07.

The calculated t-value is compared with the critical value of t with degrees of freedom (df) = n-1 = 41-1 = 40 at the desired significance level. If the calculated t-value is less than the critical value of t, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

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Answer:

y=3x-10

Step-by-step explanation:

Slope is 3 and the y intercept is -10

The value of 165 pounds is 74.8 kilograms

The given parameter is:

1 kilogram = 2.205 pounds

Multiply both sides by 165

So, we have

165 * 1 kilogram = 2.205 pounds * 165

Divide both sides by 2.205

So, we have

165/2.205 * 1 kilogram = 2.205 pounds * 165/2.205

Evaluate the products

So, we have

74.8 kilogram = 165 pounds

Rewrite as

165 pounds = 74.8 kilogram

Hence, the value of 165 pounds is 74.8 kilograms

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Answer:

Step-by-step explanation:

The area of the shape is the sum of three sections

1. Rectangle

2. Bigger semicircle

3. Smaller semicircle

Total area:

answer:

157 inches²

step-by-step explanation:

rectangle:

5 X 14 = 70 inches²

big semicircle:

area = πr²

area = (3.14)(7)²

area = 3.14(49)

        = 153.86 inches²

153.86 / 2 = 76.93 inches²

small semicircle:

area = (3.14)(2.5)²

area = 3.14(6.25)

        = 19.625 inches²

19.625 / 2 = 9.8125 inches²

70 inches² + 76.93 inches² + 9.8125 inches²

= 156.7425 inches²

= 157 inches²

The largest possible volume of the box is approximately 6,814.96 cm^3.

To evaluate the indefinite integral \(∫sec^2 x tan x dx\), we can use the substitution method. Let u = sec x, then du = sec x tan x dx. Now the integral becomes ∫du, which evaluates to u + C. Substituting back u = sec x, the result is sec x + C.

To find the largest possible volume of a box with a square base and an open top, we need to maximize the volume given the constraint of the available material. Let's assume the side length of the square base is x cm. The height of the box will also be x cm to maximize the volume.

The total surface area of the box is the sum of the areas of the base and the four sides. Since the base is a square, its area is \(x^2 cm^2\). The four sides have the same dimensions, so their total area is \(4xh cm^2\), where h is the height.

Given that the total surface area is 1,800 \(cm^2\), we can set up the equation \(x^2 + 4xh\) = 1800. Since h = x, we substitute it into the equation and get \(x^2 + 4x^2\) = 1800. Simplifying, we have \(5x^2\) = 1800.

Solving for x, we find x = √(1800/5) ≈ 18.97 cm (rounded to two decimal places). The volume of the box is \(V = x^2h = (18.97)^2 * 18.97 = 6,814.96\)cm^3 (rounded to two decimal places). Therefore, the largest possible volume of the box is approximately 6,814.96 \(cm^3\).

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Answer:

(- 3, 2 )

Step-by-step explanation:

Given the 2 equations

x + 3y = 3 → (1)

- 2x + 3y = 12 → (2)

Subtract (1 ) from (2) term by term to eliminate y

- 2x - x + (3y - 3y) = 12 - 3

- 3x = 9 ( divide both sides by - 3 )

x = - 3

Substitute x = - 3 into either of the 2 equations and solve for y

Substituting into (1)

- 3 + 3y = 3 ( add 3 to both sides )

3y = 6 ( divide both sides by 3 )

y = 2

solution is (- 3, 2 )

The measures of the missing angles for m<1, m<2, m<3, m<4, and m<5 are 35°, 145°, 55°, 125°, and 55°, respectively.

\($m \angle 1=$\) 35°

\($m \angle 2=$\) 180° - 35° = 145°

\($m \angle 3=$\) 90° - 35° = 55°

\($m \angle 4=$\)180° - ∠5 = 180° - ∠3 = 180° - 55° = 125°

\($m \angle 5=$\)∠3 = 55°

When we have two sides and the angle between them, we have "SAS." Calculate the unknown side using the Law of Cosines, then find the lesser of the other two angles using the Law of Sines, and finally find the final angle by adding the three angles together to make 180 degrees.

The law of sines states that the ratio of a triangle's side length to the sine of its opposing angle is constant. Given enough data, it is possible to use the law of sines to determine the unknown angles and sides of a triangle. The law of sines states that the ratio of a triangle's side length to the sine of its opposing angle is constant.

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a. The system of inequalities that models the situation is:

The equation for the cost is: C(x,y) = 0.2x + 0.4y.

b. The graph is given by the image at the end of the answer, and the vertices are (4,4), (10,4) and (10,7).

c. The number of clay beads and glass beads in a necklace that costs the least to make is: 4 clay beads and 4 glass beads.

The variables for the system are presented as follows:

Each necklace has no more than 10 clay beads and at least 4 glass beads, hence the constraints are listed as follows:

The numbers of each beads are countable amounts, meaning that they cannot assume negative values.

Four times the number of glass beads is less than or equal to 8 more than twice the number of clay beads, hence the final constraint is of:

4y ≤ 8 + 2x.

Each clay bead costs $0.20 and each glass bead costs $0.40, hence the cost function is given as follows:

C(x,y) = 0.2x + 0.4y.

Using the three constraints, the graph is given by the image at the end of the answer, and the vertices are as follows:

The minimum cost is at the vertex with the smallest numeric value of the cost function, hence the numeric values are listed as follows:

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Answer:

m∠WXY + m∠YXZ = 180

Step-by-step explanation:

happy to help.

Answer:

-8 \(\leq\) -8

Step-by-step explanation:

-8\(\leq\)2-10

-8\(\leq\)-8

Answer:

-8

Step-by-step explanation:

-8≤2-10
2-10 = -8
-8≤-8

Answer:

D

Step-by-step explanation:

-3/8 ÷ (-1/3)

-3/8 × (-3/1)

9/8

1 1/8

The other person is correct I think uwu

Value of r is different for every series

let

a , b , c , d ..... be geometric series then

r = b/a or d/c and so on

where r is common ratio

The training MSE and testing MSE are affected by the number of degrees in a polynomial regression model in different ways.

Training MSE: The training MSE will typically decrease as the number of degrees increases. This is because a model with more degrees can fit the training data more closely.

Testing MSE: The testing MSE may decrease or increase as the number of degrees increases. This is because a model with more degrees may be able to fit the training data too closely, and this can lead to overfitting.

Overfitting occurs when a model learns the training data too well, and this can cause the model to perform poorly on new data.

The ideal number of degrees for a polynomial regression model will depend on the data. If the data is very noisy, then a model with fewer degrees may be better. If the data is very smooth, then a model with more degrees may be better.

In general, it is important to use cross-validation to evaluate the performance of a polynomial regression model. Cross-validation involves splitting the data into two sets: a training set and a testing set.

The model is trained on the training set, and the testing set is used to evaluate the model's performance. This process is repeated several times, and the average testing MSE is used to evaluate the model.

Here is a table that summarizes the effects of the number of degrees on the training MSE and testing MSE:

Number of degrees   Training MSE Testing MSE

Low                               High                            High

Medium                        Low                          Low or high

High                       Low                                   High

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Answer:

it is -3/15

Step-by-step explanation:/ im not good at explning it

Answer:

\(-\frac{4}{15}\)

Step-by-step explanation:

\(-\frac{3}{5} +\frac{1}{3}\\\\ \text{LCM 5,3: 15}\\\\\frac{-3}{5}=\frac{-9}{15}\\\\\frac{1}{3}=\frac{5}{15}\\\\\\\frac{-9}{15}+\frac{3}{15}=\frac{-9+5}{15}=\boxed{-\frac{4}{15}}\)

Hope this helps.

The solutions to the equation −11x − 7 = \(-3x^2\), rounded to the nearest tenth, are x ≈ -1.1 and x ≈ 6.1.

An equation is a mathematical statement that shows that two expressions are equal. It is usually written as an expression on the left-hand side (LHS) and an expression on the right-hand side (RHS) separated by an equal sign (=).

The expressions on both sides of the equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The variables in an equation represent unknown values that can vary, while the constants are fixed values that do not change.

Equations are used to represent mathematical relationships or describe real-world situations. They can be used to solve problems, make predictions, and test hypotheses.

To solve an equation, one must find the value of the variable that makes the LHS equal to the RHS. This is done by performing mathematical operations on both sides of the equation to isolate the variable. The goal is to get the variable by itself on one side of the equation, with a specific value on the other side.

Equations can be simple or complex, linear or nonlinear, and can involve one or more variables. Examples of equations include:

2x + 5 = 13

y = \(3x^2\) - 2x + 7

4a + 2b - 3c = 10

Equations are used in many areas of mathematics and science, including physics, chemistry, and engineering, among others.

We are given the equation \(-11x - 7 = -3x^2\).

To solve for x, we can rearrange the equation into a quadratic form by bringing all terms to one side:

\(-3x^2 + 11x + 7\) = 0

We can solve this quadratic equation by using the quadratic formula:

x = (-b ± sqrt(\(b^2\) - 4ac)) / 2a

where a = -3, b = 11, and c = 7.

Substituting these values, we get:

x = (-11 ± sqrt(\(11^2\) - 4(-3)(7))) / 2(-3)

Simplifying inside the square root:

x = (-11 ± sqrt(121 + 84)) / (-6)

x = (-11 ± sqrt(205)) / (-6)

Using a calculator, we can approximate this to:

x ≈ -1.1 or x ≈ 6.1

Therefore, the solutions to the equation \(-11x - 7 = -3x^2\), rounded to the nearest tenth, are x ≈ -1.1 and x ≈ 6.1.

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Answer:

-2 -8 is -10 because we’re subtracting 8 out of -2

brainliest please

Answer:

-10

Step-by-step explanation:

-2 - 8 = -10

When you subtract a negative, the minus sign becomes a plus sign and the negative number becomes positive.

Hope this helps!

Answer:

1/4

Step-by-step explanation:

According to the question we can get

26/52 × 26/52

= 1/2 ×1/2

= 1/4

The probability that a randomly chosen student scores 70 or below is 0.0013

Firstly, we want to calculate the z-score

We have this as;

Using this z-score, we proceed to calculate the probability as follows;

We use the standard normal distribution table for this

As we can see, this z-score value falls within 3 standard deviation from the mean

According to the empirical rule, the probability value here is 0.0013

Shimano Pty Ltd needs to sell a minimum of 300 fishing rods in 2021.

In 2021, Shimano Pty Ltd, a custom fishing rod manufacturer, sells each rod for $900. The variable costs associated with producing each rod amount to 60% of the selling price, which is $540 per rod. Additionally, the business incurs fixed costs of $108,000 for the year.

To calculate the total cost per rod, we need to consider both the variable and fixed costs. The variable cost per rod is $540, and the fixed costs for the year are $108,000. Since the fixed costs are independent of the number of rods produced, they can be spread across the total number of rods manufactured.

To determine the breakeven point, we need to find the number of rods that need to be sold to cover the total costs. The breakeven point can be calculated by dividing the total fixed costs by the contribution margin, which is the selling price minus the variable cost per unit. In this case, the contribution margin is $360 ($900 - $540).

Breakeven Point = Total Fixed Costs / Contribution Margin

Breakeven Point = $108,000 / $360

Breakeven Point = 300 rods

To cover the fixed costs and start generating a profit, Shimano Pty Ltd needs to sell a minimum of 300 fishing rods in 2021.

It's important for the company to keep track of its costs, particularly the variable costs, and carefully consider its pricing strategy to ensure profitability and sustainability in the market.

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