a 65g book is 15cm x 5cm x 3c. Find the density

PLEASE HELP ​

We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims: The null hypothesis (H0) states that there is no population impact. Alternative hypothesis (Ha or H1): The population is affected.

Given,

Among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease.

Let X be the random variable to determine the proportion of people who have clinical illness.

n: The overall number of people who were exposed to a specific infectious pathogen.

p: The percentage of sample members who have a clinical illness.

Selected subjects who experience clinical disease are the experiment's success.

As a result, the variables are n = 100 and p = 0.30.

It is necessary to determine whether exposure to the agent outcome may be entirely accounted for by coincidence.

A P-value is a probabilistic indicator of the likelihood that an observed outcome effect is accidental.

Using the default level of significance = 0.05, the level of significance is not defined.

One percentage z-test is the best suitable test for the aforementioned assertion.

The alternate and null hypothesis is

H0: p = 0.3

H1:: p ≠ 0.3

Where p is the percentage of the population that develops a clinical illness.

R may be used to calculate the p-value and test statistic.

The instruction is as follows:

x = 20; n = 100; p = 0.3; prop.test

The result looks like this: - The p-value obtained from the output above is 0.03817.

Decision principle:

When significance is 5%,

If the p-value is below 0.05, reject the null hypothesis.

Accept the contrary.

Because the p-value was 0.03817 0.05

The null hypothesis is disproven.

In conclusion:

We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

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Answer:

1. False, 2. False, 3. False

Step-by-step explanation:

Andy weighs 44lbs. He is to receive 1tsp of medicine for every 15 kg he weighs. How many cc's will he receive? Round to the nSolution:Given,Andy weighs 44 lbs.Convert 44 lbs into kg.1 pound = 0.45359237 kg44 pounds = 19.958 kg1 tsp is given for every 15 kg he weighs.1 tsp = 5 cc (Approximately)Therefore, 19.958 kg will get,(1/15) * 1 tsp = (1/15) * 5 cc = 0.33333 cc (approximately)Therefore, the number of cc's Andy will receive = 0.33333 cc (Approximately)Aspirin 600mg is orderedYou have available gr v tablets. How many tablets will you give? Round to nearest whole numberSolution:Given,Aspirin 600 mg is ordered.You have available gr v tablets.1 gram = 1000 mg600 mg = 0.6 gTherefore, 0.6 g of aspirin is ordered.1 tablet contains gr v= 0.324 g (approx)Therefore, the number of tablets will be given = 0.6 g / 0.324 g ≈ 2The number of tablets to be given = 2 tablets (approximately).The doctor has ordered Tylenol 650mg. You have available Tylenol elixir g g/15cc. How many tsp will you give? Round to nearest whoSolution:Given,Tylenol 650 mg is ordered.Tylenol elixir is available.1 g = 1000 mg1 g / 15 cc = 0.0666667 g/ccTherefore, Tylenol elixir is 0.0666667 g/cc.Hence, the number of tsp will be given is 2 tsp (approx).A 55lb child is to receive liquid ampicillin 5mghkg of body weight. How many cc's will she receive if the ampicillin bottle is labeled 150mg/5 ce? Round to the nearest tenth.Solution:Given,The weight of the child is 55 lbs.1 pound = 0.45359237 kgTherefore, the weight of the child in kg is,55 lbs × 0.45359237 kg = 24.947 kgThe liquid ampicillin is 5 mg/kg.Therefore, the amount of liquid ampicillin will be given,24.947 kg × 5 mg/kg = 124.735 mg = 0.124735 gThe ampicillin bottle is labeled 150 mg/5 cc.Therefore, the amount of liquid to be given,150 mg/5 cc = 30 mg/ccTherefore, the number of cc's of liquid ampicillin to be given,0.124735 g × 1,000 mg/1 g × 1 cc/30 mg = 4.1581 cc ≈ 4.2 ccTherefore, the number of cc's of liquid ampicillin to be given is 4.2 cc (Approximately).

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Answer:

D.480 Ft/S

Step-by-step explanation:

um, Just ask your teacher if you don't understand:P

Step-by-step explanation:

1.5 times 1.5 when doing so u need to round it to the tenths place

Answer:

31.4

Step-by-step explanation:

To find circumference, the formula is A=pi*r^2. The radius is 1/2 the diameter. The radius of the donut is 3.5. 3.5^2 is 12.25. Pi is approximately 3.14, so 12.25*3.14 is 38.465. The donut hole takes away from the circumference, so we have to subtract the circumference of the donut hole from the donut. 1.5^2 is 2.25, and 2.25*3.14 is 7.065. 38.465-7.065 is 31.4. The circumference of the circle is 31.4.

Hope this helps!

Answer:

2 1/2

Step-by-step explanation:

−45+3310=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-4/5, 33/10) = 10

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−45×22)+(33/10×11)=?

Complete the multiplication and the equation becomes

−8/10+33/10=?

The two fractions now have like denominators so you can add the numerators.

Then:

−8+33/10=25/10

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 25 and 10 using

GCF(25,10) = 5

25÷5/10÷5=5/2

The fraction

52

is the same as

5÷2

Convert to a mixed number using

long division for 5 ÷ 2 = 2R1, so

52=212

Therefore:

−4/5+33/10= 2 1/2

Answer:

84

Step-by-step explanation:

12x + 24 , x = 5

= 12*5 + 24

= 60 + 24

= 84

Answer:

84

Step-by-step explanation:

12x + 24 = ?

12(5) + 24 = ?

60 + 24 = ?

84 = ?

84 = 84

Your answer is 84

The value of angle T (m<T) would be = 30°. That is option A.

To calculate the value of the missing angle, the following steps should be taken as follows;

The total internal angle of a triangle = 180°

That is ;

180° = 4x-6+6x+11+85

= 10x-6+11+85

= 10x+90

10x = 180-90

X = 90/10

= 9

Therefore, T = 4x-6

= 4(9)-6 = 30°

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Answer:

Step-by-step explanation:

Area of rectangle= 250 sq.units

Width = (250-10)÷3

          = 240÷3

          = 80 units

Answer: 33 degrees

Step-by-step explanation:

We can find angles PQS and PSQ by using the base angle theorem, which states that the base angles of an isosceles triangle are congruent. Subtracting 48 from 180 we get 132, which dividing by 2 we get 66 degrees.

Now we can use the exterior angle theorem, which states that an exterior angle of a triangle is equal to the sum of the two remote interior angles of the triangle. In this case, we are saying that ∠QSP= ∠QRS+∠RQS. Both of these angles are congruent because of the base angle theorem as well. Dividing 66 by 2 we get 33 degrees. Thus, m∠QRS=33°

To solve the equation we first squared both sides of it, that is:

Now we can use the general formula for quadratic equations, then:

Now that we found two option for x, we have to check which of them is really a solution for the original equation (we have to do this since we squared the original equation to get rid of the root), to do this we plug the values we found to see if the eqaution holds.

If x=1:

hence x=1 is a solution for the original equation.

If x=-2:

since this is not true, x=-2 is not a solution for the original equation.

Therefore, the solution for the equation is x=1.

Answer:

5s + 0.65 = 14.4

      - 0.65  - 0.65

______________

5s = 13.75

___.   ___

5          5

s = 2.75 meters of string for each pennant

Explanation:

s represents the length of string required for each pennant.

We know that Ingrid is using a total of 14.4 meters of string to hang a banner and 5 pennants.

We also know that out of that 14.4 meters, 0.65 meters is used to hang the banner. The rest of the string left is equally distributed among the 5 pennants.

So, therefore, we have a constant of 0.65 and a coefficient of 5 with variable, s.

Next, we solve this by first isolating the constant by subtracting 0.65 on both sides.

Then. we isolate the variable by dividing 5 into both sides.

So, s = 2.75 meters of string for each pennant

The correct options are 2,3,4,5, according to given question.

What do you mean by equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

According to data in the given question,

We have the given information:

P = 18

w= l/2

Perimeter of a rectangle equals to twice the sum of length and width:

P= 2(l+w)

If we assume width = x, then:

l = 2x

2(x+2x) = 18 or

2x + 4x = 18

If we assume length = x, then:

w = 1/2x

2(x + 1/2x) = 18 or

2x + x = 18

Therefore, the correct options are below:

x + one-half x = 18   === incorrect                        

2 x + x = 18               === correct

2 (x) + 2 (2 x) = 18     === correct

x + one-half x + x + one-half x = 18 === correct, same as second option

2 (x + one-half x) = 18    === correct, same as second option

2 x + one-half x = 18     === incorrect

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Answer:

a. 1/2 or 50% b. 1/2 or 50%

Step-by-step explanation:

a. 1/2 of 50%

Since theres 2 sides, and 1 head, it will be 1/2 outcomes so 1/2.

b. Stil 1/2 or 50%

The coin flips are not dependent, and they have 2 outcomes and 1 tails.

Stil 1/2

Answer:

107 hamburgers

Step-by-step explanation:

Let's call hamburgers A and cheese burgers B.

We know that A + B = 321

And that the number of cheeseburgers sold was two times the number of hamburgers sold which means ->  B = 2A

So A + 2A = 321

3A = 321

Now you need to divide both sides of the equation by 3 and you get:

A= 107

The equation that we would use to find the value of x based on the area of a rectangle is:

C. (16 + 2x)(12 + 2x) = 396

To find the area of a rectangle, find the product of its length and its width. Thus, the area of a rectangle is: (length)(width) = area.

Given the following:

Area of both the walkway and the garden = 396 square meters

Length = x + 16 + x = 16 + 2x

Width = x + 12 + x = 12 + 2x

Using the area formula for a rectangle, we would have:

(16 + 2x)(12 + 2x) = 396.

Therefore, the equation that we would use to find the value of x based on the area of a rectangle is:

C. (16 + 2x)(12 + 2x) = 396

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Given a ray passing through a line at an angle of 29 degrees, the angle opposite to it (angle R) can be found by subtracting 29 degrees from 180 degrees. Therefore, the value of angle R is 151 degrees.

We are given that a ray passes through a line, making an angle of 29 degrees with the line. Let us represent this situation as follows

The angle R represents the angle opposite to the angle of 29 degrees. Since the ray and the line form a straight line, their angles add up to 180 degrees. Therefore, we can write

angle R + 29 degrees = 180 degrees

To solve for angle R, we can subtract 29 degrees from both sides of the equation

angle R = 180 degrees - 29 degrees

Simplifying the expression, we get

angle R = 151 degrees

Therefore, the value of angle R is 151 degrees.

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According to the given statement There are 2 rows and 3 columns in the matrix, resulting in a total of 6 categories (cells).

In a chi-square test for independence, the degrees of freedom (df) is calculated as (r-1)(c-1),

where r is the number of rows and c is the number of columns in the contingency table or matrix.

In this case, the df is given as 2.

To determine the total number of categories (cells) in the matrix, we need to solve the equation (r-1)(c-1) = 2.

Since the df is 2, we can set (r-1)(c-1) = 2 and solve for r and c.

One possible solution is r = 2 and c = 3, which means there are 2 rows and 3 columns in the matrix, resulting in a total of 6 categories (cells).

However, it is important to note that there may be other combinations of rows and columns that satisfy the equation, resulting in different numbers of categories.

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The arc length of the given function over the interval [1,4e] is approximately 281.74 units.

The formula for arc length is given by: L = ∫[a,b]√(1+(dy/dx)²) dx

Using the given function y = 14x² - 12lnx, we can find the derivative: dy/dx = 28x - 12/x

Now, plugging this derivative into the formula for arc length and evaluating over the interval [1,4e], we get:

L = ∫[1,4e]√(1+(28x-12/x)²) dx

This integral cannot be evaluated in closed form, so we must use numerical methods to approximate the answer. One common method is to use Simpson's rule, which gives: L ≈ (4e - 1)/6 [√(1+(28(1)-12/1)²) + 4√(1+(28(2)-12/2)²) + 2√(1+(28(4e)-12/4e)²)]

L ≈ 281.74

Therefore, the arc length of the given function over the interval [1,4e] is approximately 281.74 units.

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Answer:

{1, 2, 3, 4, 5, 6, 7, 8}

Step-by-step explanation:

In this problem, we use the variable c to represent the independent quantity.  This means that the domain is all possible values for c. Since the store only has 8 cases of water, the domain cannot be any number larger than 8. Since the store only sells complete cases, not partial cases, of water, the domain cannot be a fraction or decimal number. This means that the practical domain, or domain that makes sense for the problem situation, is {1, 2, 3, 4, 5, 6, 7, 8}.

Answer:

d. skewed to the right with possible outliers

Step-by-step explanation:

The distribution of house prices will be skewed to the right with possible outliers. This is because the regular median prices are still fairly far apart from each other with roughly $300,000 in difference between them. Also since there are some extreme house prices also included that greatly surpass the normal range these would be considered outliers in the data set.

Complete question is;

Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. What is the p value?

Answer:

p-value = 0.006934

Step-by-step explanation:

First of let's define the hypotheses.

Null hypothesis: H0: p1 - p2 = 0

Alternative hypothesis: Ha: p1 - p2 ≠ 0

We are given;

Number of people in 2012 that indicated their financial security was more than fair; x1 = 410

Number of people in 2010 that indicated their financial security was more than fair; x2 = 315

Sample in 2012; n1 = 1000

Sample in 2010; n2 = 900

proportion of people in 2012 that indicated their financial security was more than fair; p1 = x1/n1 = 410/1000 = 0.41

proportion of people in 2010 that indicated their financial security was more than fair; p2 = x2/n2 = 315/900 = 0.35

Now, let's find the z - score with the formula;

z = (p1 - p2)/√[(p1(1 - p1) × (1/n1)) + (p2(1 - p2) × (1/n2))]

Thus;

z = (0.410 - 0.35)/√[(0.41(1 - 0.41) × (1/1000)) + (0.35(1 - 0.35) × (1/900))]

z = 0.06/√0.00049467778

z ≈ 2.7

From online p-value calculator attached using z-value = 2.7; two tailed distribution; significance level = 0.05;

We have; p-value = 0.006934

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

\( = \frac{2.408 \times {10}^{24} }{6.02 \times {10}^{23} } \\ = 4\)

\( \small{ \star{ \underline{ \blue{becker}}}}\)

2.408 x 10²⁴  divided by 6.02 x 10²³ is 4

A division is a process of splitting a specific amount into equal parts.

We have to divide 2.408 x 10²⁴ by  6.02 x 10²³

Two point four zero eight into ten to the power of twenty four by six point zero two into ten to the power of twenty three.

2.408 x 10²⁴/6.02 x 10²³

Firstly let us divide the decimal numbers

0.4×10²⁴/10²³

The exponential digit in denomiantor turns to negative numerator

0.4×10²⁴⁻²³

Zero point four into ten

0.4×10

4

Hence we get four when we divide 2.408 x 10^24 by 6.02 x 10^23

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The equation x-3/ 2y=-12 when solved for the variable y is y = x-3/-24

We have to make 'y' the subject from the equation, we have;

x-3/2y=-12

By solving for the variable, we need to work it out.

Also, we have to make it stand alone on one end of the equality sign.

cross multiply the values

x - 3(1) = -12(2y)

multiply the values

x-3 = -24y

Make 'y' the subject by dividing both sides by the coefficient of y

y = x-3/-24

Hence, the equation is y = x-3/-24

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The only kind of data generated by observational research is correlations or patterns in the data that have been observed. By using correlations, one variable's value can be used to predict the value of another.

Explanation:

Accurate predictions using data correlation can be ensured by using a variety of methods. Firstly, it is important to ensure that the data is free from errors and is of high quality. This can be done by cleaning and validating the data to remove any inconsistencies and outliers. Secondly, it is important to analyze the data thoroughly and identify any patterns or trends. Furthermore, it is beneficial to use appropriate statistical tests and algorithms such as linear regression, logistic regression, and decision trees to identify the predictive relationships between the variables. Finally, it is important to evaluate the model’s performance to determine the accuracy of the predictions.

The most effective methods for ensuring accurate predictions using data correlation are:

1. Perform Exploratory Data Analysis: Exploratory data analysis is an essential step in any predictive modeling process. It involves exploring the data to identify patterns, trends, and relationships within the data. This helps to identify any potential issues or biases within the data that could affect the accuracy of predictions.

2. Use Statistical Tests: Statistical tests can be used to measure the strength of the relationship between two variables. These tests can help to identify which variables are most strongly correlated with each other and can help to determine which variables should be used in a predictive model.

3. Use Machine Learning Algorithms: Machine learning algorithms can be used to create predictive models that can identify and learn patterns in the data. These algorithms are particularly effective at identifying complex relationships between variables that may not be identified by statistical tests.

4. Validate Predictions: Predictions should always be validated to ensure that they are accurate and reliable. This can be done by comparing the predictions against known outcomes or by testing the model on a separate data set.

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Answer:

for this graph the answer is D

The line integral of this vector which lies between the points. f = x i +y j , from (2, 0) to (8, 0) is 30.

To calculate the line integral of the vector field F(x, y) = xi + yj along the line between the points (2, 0) and (8, 0), we can parameterize the line segment and then evaluate the integral.

1. Parameterize the line segment:
Let r(t) = (1-t)(2, 0) + t(8, 0) for 0 ≤ t ≤ 1.

Then r(t) = (2 + 6t, 0).

2. Find the derivative of the parameterization:
r'(t) = (6, 0)

3. Evaluate the vector field F along the line segment:
F(r(t)) = (2 + 6t)i + (0)j

4. Take the dot product of F(r(t)) and r'(t):
F(r(t)) • r'(t) = (2 + 6t)(6) + (0)(0) = 12 + 36t

5. Integrate the dot product over the interval [0, 1]:
∫(12 + 36t) dt from 0 to 1 = [12t + 18t^2] evaluated from 0 to 1 = 12(1) + 18(1)^2 - 0 = 12 + 18 = 30

The line integral of the vector field along the line between the given points is 30.

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Answer: Maggie used 1 1/2 hours

Elizabeth used: 3 × 1 1/2 = 4 1/2 hours

Step-by-step explanation:

Let the time used by Maggie be x

Since it It takes Elizabeth three times as long as Maggie to clean her room. Elizabeth will use: = 3 × x = 3x

Therefore, x + 3x = 6

4x = 6

x = 6/4 = 1.5 hours

Maggie used 1 1/2 hours

Elizabeth used: 3 × 1 1/2 = 4 1/2 hours