round 0.532 to the nearest hundredth​

Answer: 91 centimeters

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

68+23=91

Answer: C

Step-by-step explanation:

A says an odd number (neg) + (neg)+ (neg) = positive and that is not right

B. quotients are not always positive

C.  A even number of negatives (neg) + (neg) = a positive

D. is not true

Answer:

1.38461538462

Step-by-step explanation:

The statistics are as follows:

- Test Statistic: The calculated test statistic is approximately 1.02.

- P-value: The P-value associated with the test statistic of 1.02 is approximately 0.154.

- Confidence Interval: The 95% confidence interval for the difference in proportions is approximately -0.0186 to 0.0786.

To solve the problem completely, let's go through each step in detail:

1. Test Statistic:

The test statistic can be calculated using the formula:

z = (p1 - p2) / √[(p_cap1 * (1 - p-cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

Substituting these values into the formula, we get:

z = (0.55 - 0.53) / √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

z = 0.02 / √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

z ≈ 0.02 / √(0.0001386 + 0.0002493)

z ≈ 0.02 / √0.0003879

z ≈ 0.02 / 0.0197

z ≈ 1.02 (rounded to two decimal places)

Therefore, the test statistic is approximately 1.02.

2. P-value:

To find the P-value, we need to determine the probability of observing a test statistic as extreme as 1.02 or more extreme under the null hypothesis. We can consult a standard normal distribution table or use statistical software.

The P-value associated with a test statistic of 1.02 is approximately 0.154, which means there is a 15.4% chance of observing a difference in proportions as extreme as 1.02 or greater under the null hypothesis.

3. Confidence Interval:

To estimate the difference in proportions with a 95% confidence interval, we can use the formula:

(p1 - p2) ± z * √[(p_cap1 * (1 - p_cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

z = 1.96 (for a 95% confidence interval)

Substituting these values into the formula, we get:

(0.55 - 0.53) ± 1.96 * √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

0.02 ± 1.96 * √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

0.02 ± 1.96 * √(0.0001386 + 0.0002493)

0.02 ± 1.96 * √0.0003879

0.02 ± 1.96 * 0.0197

0.02 ± 0.0386

The 95% confidence interval for the difference in proportions is approximately (0.02 - 0.0386) to (0.02 + 0.0386), which simplifies to (-0.0186 to 0.0786).

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I can help you with that problem i just did that on my own.

Answer: 24 Units

Step-by-step explanation:

Got it right on edge!

Answer:

answer is -1.75

Step-by-step explanation:

\(y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x\)

Answer:

its D

Step-by-step explanation:

The money left will be $20

The slope is used to measure the inclination of a straight line regarding abscissa axis ( x axis) .

Given : x=0 ( no pack is bought)

to find : y = ? ( money left )

slope of a straight line = y2-y1 / x2-x1

Let us take two coordinates from the given ones (1,16) and (5,0)

slope = 0 -16 / 5-1 = -16 /4 = -4

since , slope is same for any coordinate for the whole line

to find y , using coordinate (1,16) and (0,y)

-4 = y-16 / 0-1

4 =  y- 16

y = 20

answer is option d) $20 will be left if she doesn't buy any pack

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Answer: 40

Step-by-step explanation:

Assume Julio's number is x.

The expression would be:

-7 * (x - 15) = -175

x - 15 = -175/-7

x = -175/-7 + 15

x = 40

Answer:

6 inches

Step-by-step explanation:

1 inch = 2.54 cm.

 1 cm = 1/2.54 inches.

14 cm = 14/2.54

14 cm, when rounded to nearest inch, results in around 6 inches.

There are 32 fluid ounces (oz) in a quart (qt).

A fluid ounce is a unit of volume used in measuring liquids and is equal to approximately 1/128th of a gallon. A quart, on the other hand, is a unit of volume that is equal to 4 cups or 2 pints. It is commonly used to measure liquids like milk, water, and other beverages.

Understanding how many ounces are in a quart is essential for many recipes, particularly when working with liquids. For instance, if a recipe calls for 2 quarts of water, you will need 64 fluid ounces. Similarly, if a recipe calls for 16 fluid ounces of milk, you will need half a quart.

Having a basic knowledge of measurement conversions can help in a variety of situations, whether in cooking or other daily activities.

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The same method of subtracting the amount of fabric used from the amount she started with to estimate the amount of fabric Gabby has left.

To estimate the amount of fabric Gabby has left, we can subtract the amount of fabric she used from the amount she started with:

57878 - 3215215 ≈ -3157337

However, we can see that this result is negative, which doesn't make sense in the context of the problem. It's not possible for Gabby to have negative yards of fabric left.

It's likely that there was a mistake in the problem statement or in the numbers given. If the problem were corrected, we could use the same method of subtracting the amount of fabric used from the amount she started with to estimate the amount of fabric Gabby has left.

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Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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The simplified form of the expression x⁻²y(x³y⁵)³ is x⁷y¹⁶ for all values of x and y where the expression is defined.

To simplify this expression, we need to use the rules of exponents, specifically the rule for raising a power to a power, which states that (aᵇ)ˣ = aᵇˣ.

Using this rule, we can simplify the expression as follows:

x⁻²y(x³y⁵)³

Open bracket

= x⁻²y(x³ˣ³y⁵ˣ³) (apply the rule for raising a power to a power)

Evaluate

= x⁻²y(x⁹y¹⁵)

Apply the law of indices in multiplying again

x⁷y¹⁶

Hence, the solution is x⁷y¹⁶

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Answer:34.96 (answer to what is her purchase price before tax)

Step-by-step explanation:38*(1-.08)

The slope of the line with the points (5, 6) and (8,12) is 2.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided in the table, we can logically deduce the following slope and data points on the line:

Substituting the given data points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (12 - 6)/(8 - 5)

Slope, m = 6/3

Slope, m = 2.

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Answer:

$50.40

Step-by-step explanation:

To find how much Lana will pay in total follow these steps.

First, multiply 40 by 1.05.

40×1.05=42.

This is how much she will pay for the food plus tax.

Now, multiply 42 by 1.2.

42×1.2=50.40

This is how much she will pay for the food, tax, and tip.

Lana will pay a total of $50.40.

Hope this helps!

Answer:

1:5

Step-by-step explanation:

45:225

Divide by 5

9:45

Divide by 9

1:5

Answer:

Step-by-step explanation:

1.

IF THE SHADED REGION IS THE WANTED AREA then the inequality is

y > 2x + 1

BUT IF THE SHADED REGION IS THE UNWANTED AREA then the in equality is

y < 2x + 1

2.

You have to figure out the equation of the dotted line.

Since the line is dotted, it means less than or greater than, it cant be less than equals to or greater than equal to

The gradient of the line is 2 as

rise / run = 14/7 = 2

and y intercept is 1

y > 2x + 1

3.

this is used in economics and for planning to maximize profits and minimize costs.

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

(a) The initial concentration of the solution in the tank is 0.05 kg/L. (b) After 2.5 hours, the amount of salt in the tank remains unchanged at 50 kg. (c) As time approaches infinity, the concentration of salt in the solution remains constant at 0.05 kg/L.

(a) The initial concentration of the solution in the tank can be calculated by dividing the total amount of salt initially present by the total volume of the solution initially.

Total amount of salt initially = 50 kg

Total volume of the solution initially = 1000 L

Concentration of the solution initially = (Total amount of salt initially) / (Total volume of the solution initially)

Concentration of the solution initially = 50 kg / 1000 L = 0.05 kg/L

Therefore, the concentration of the solution in the tank initially is 0.05 kg/L.

(b) Find the amount of salt in the tank after 2.5 hours.

In this case, we need to consider the amount of salt entering and leaving the tank over time.

Amount of salt entering the tank per minute = concentration of the incoming solution × rate of incoming solution

Amount of salt entering the tank per minute = 0.025 kg/L × 10 L/min = 0.25 kg/min

Amount of salt leaving the tank per minute = concentration of the solution in the tank × rate of outgoing solution

Amount of salt leaving the tank per minute = (amount of salt in the tank) / (total volume of the solution in the tank) × 10 L/min

Since the incoming and outgoing rates are equal (10 L/min), the amount of salt in the tank after a certain time remains constant. Let's calculate the amount of salt in the tank after 2.5 hours (150 minutes).

Amount of salt entering the tank in 150 minutes = 0.25 kg/min × 150 min = 37.5 kg

The amount of salt in the tank after 2.5 hours remains the same as the initial amount, as there is no net change in the salt content.

Therefore, the amount of salt in the tank after 2.5 hours is 50 kg.

(c) Find the concentration of salt in the solution in the tank as time approaches infinity.

As time approaches infinity, the concentration of salt in the solution in the tank will be determined by the ratio of the total amount of salt in the tank to the total volume of the solution in the tank.

Total amount of salt in the tank = 50 kg

Total volume of the solution in the tank = 1000 L

Concentration of salt in the solution as time approaches infinity = (Total amount of salt in the tank) / (Total volume of the solution in the tank)

Concentration of salt in the solution as time approaches infinity = 50 kg / 1000 L = 0.05 kg/L

Therefore, as time approaches infinity, the concentration of salt in the solution in the tank will be 0.05 kg/L, the same as the initial concentration.

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Complete question:

A tank contains 50 kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 10 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? (b) Find the amount of salt in the tank after 2.5 hours. (c) Find the concentration of salt in the solution in the tank as time approaches infinity.

The x-coordinate of the point K that divides AB in 3:1 will be -5.

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The directions of the endpoints A and B are given. A (7,6) and B (- 9,- 6). Point K is situated on the Stomach muscle with the goal that AK: KB = 3/1.

Then the x-coordinate of the point K is given as,

x = (mx₂ + nx₁) / (m + n)

x = [3(-9) + 1(7)] / (3 + 1)

x = (- 27 + 7) / 4

x = - 20 / 4

x = - 5

The x-coordinate of the point K that divides AB in 3:1 will be -5.

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Please attached a diagram drawn with MS Word based on the question parameters, and from a diagram from a similar question.

The length of the rectangle that contains 10 identical squares and has a width of 15 centimeters is 21 centimeters

A square is a quadrilateral that has four sides of the same length and the the four interior angles are each equal to 90°.

Some parts of the question appear missing, please find attached the design of a rectangle based on a similar GCSE question online. The width of the rectangle = 15 cm

The number of squares = 10

The number of squares that make up the width from the drawing = 5

The side length of the square is therefore; 15 cm ÷ 5 = 3 cm

The number of squares that make up the length of the rectangle = 7

The length of the rectangle is therefore, L = 7 × 3 cm = 21 cm

The length of the rectangle = 21 centimeters

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The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

f(x)=11

Step-by-step explanation:

f(x)=12-4+3

f(x)=8+3

f(x)=11

Answer:

x-intercept: (4, 0), (-5, 0)

y-intercept: (0, -20)

Explanation:

Their x-intercept:    (at x intercept, y will be 0)

Their y intercept:   (at y intercept, x will be 0)

Answer:

Step-by-step explanation:

Finding x-intercept(s)

Finding y-intercept

The Central Limit Theorem justifies the use of the normal distribution for the sampling distribution of proportion.

The Central Limit Theorem states that under certain conditions, the sampling distribution of the mean of a random sample drawn from any population will be approximately normal, regardless of the shape of the population distribution. One of these conditions is that the sample size should be large enough, typically n >= 30.  For the sampling distribution of proportion, the Central Limit Theorem applies because the proportion is essentially a mean of a sample of binary data of a normal distribution  (e.g. success or failure). If the sample size is large enough, the sampling distribution of the proportion will be approximately normal, regardless of the shape of the population distribution.  The condition np >= 5 and nq >= 5 is used to ensure that the sample size is large enough for the normal approximation to be valid. In essence, this condition ensures that there are enough successes and failures in the sample to satisfy the conditions of the Central Limit Theorem. If this condition is not met, then the normal approximation may not be valid and alternative methods, such as the binomial distribution, should be used instead.

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