sin(0)=-4 racial 29 over 29
If 0 is an angle in quadrant IV, what is the value of cos(0)

Answer:

23 when b =a+r=y and x=r} OQ= 78

The option that best describes the experiment is accurate and reproducible.

All the values from the experiment are close in value to the accepted value. This indicates that the experiment is accurate. Two experiments yield the same values. This indicates that the experiment is reproducible.

Here is the table used in answering the question:

Accepted Value: 130

Experiment 1 129

Experiment 2 131

Experiment 3 129

Experiment 4 132

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Answer:

(A)They are precise and reproducible

Step-by-step explanation:

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The hexadecimal number 0x3d is equal to 61 in decimal (base 10).

To convert the hexadecimal number 0x3D to decimal (base 10), we need to understand the positional system of both bases. In hexadecimal, each digit represents a power of 16, starting from the rightmost digit. The digits range from 0 to 9, and then from A to F, where A represents 10 and F represents 15, In hexadecimal (base 16) representation, each digit can have values from 0 to 15. The digits from 0 to 9 represent their respective values, and the letters A to F represent the values 10 to 15.

To convert 0x3d to decimal, we can break down the number as follows:

0x3d = (3 * 16^1) + (13 * 16^0)

Simplifying the expression:

0x3d = (3 * 16) + 13

0x3d = 48 + 13

0x3d = 61

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Answer:

1/3

Step-by-step explanation:

We multiply 33(Figure A side) by 1 /3 to get 11(Figure B side).

A system of linear equations can have exactly one solution, infinitely many solutions, or no solutions. It cannot have exactly s solutions, where s is an integer strictly greater than 1.

To see why this is the case, let's consider a system of linear equations with m equations and n variables, where m ≤ n. We can represent the system as an augmented matrix A = [A|B], where A is the coefficient matrix of the system and B is the constant vector.

If the system has exactly one solution, then the rank of the coefficient matrix A is equal to the rank of the augmented matrix A = [A|B], which is n. This means that the number of pivots in the row echelon form of A is equal to n, and there are no free variables.

If the system has infinitely many solutions, then the rank of the coefficient matrix A is less than n, and there are one or more free variables. In this case, the number of solutions is not a fixed number, but rather a family of solutions that can be represented parametrically.

If the system has no solutions, then the rank of the coefficient matrix A is less than the rank of the augmented matrix A = [A|B], which is n + 1. In this case, there is a contradiction in the equations, and there is no solution.

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Answer: 452.39

Step-by-step explanation: R= 6, H = 12. Volume formula is V= pi*r^2*h/3. For you, the equation is V = pi*6^2*12/3. 6^2 = 36, and 12/3 = 4. V = pi*36*4. Solving, we get V = 452.39.

The correct answer to the question is b. Congruent figures.

Congruent figures are figures that have the same size and shape. In other words, if you were to compare two congruent figures, they would be identical in every way. This means that all corresponding sides and angles of the figures are equal.

For example, if you have two triangles that are congruent, their corresponding sides and angles will be equal. So if one triangle has a side length of 5 cm, the corresponding side of the other triangle will also have a length of 5 cm. Similarly, if one angle in one triangle measures 60 degrees, the corresponding angle in the other triangle will also measure 60 degrees.

It's important to note that congruence applies to all types of figures, including triangles, quadrilaterals, circles, and so on. When determining if two figures are congruent, you need to compare their corresponding sides and angles.

To summarize, figures that have the same size and shape are called congruent figures.

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Answer:

See below.

Step-by-step explanation:

Part A: The higher the temperature in the city, the number of lemonades sold increases.

Part B: The line of best fit is a line that will have the same amount of point on each side so you should draw a straight line and then make sure it has the same amount of point on each side. To calculate the slope use Y^2-Y^1/X^2-X^1.

The equation(rounded) would be y=0.28x-5.65

-hope it helps

Answer:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Step-by-step explanation:

Given: A line is drawn between points \((x_2,x_1)\,,\,(y_2,y_1)\)

To find: distance between the two points

Solution:

A coordinate plane is a two-dimensional plane formed by the intersection of a  y-axis and x-axis. x-axis and y-axis are perpendicular lines that intersect each other at the origin.

Let d denotes distance between the two points \((x_2,x_1)\,,\,(y_2,y_1)\)

Use the formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The distance between the two points show on the coordinate plane is D = √[(x₂-x₁)²+(y₂-y₁)²]. Therefore, the correct answer is option C.

The given coordinate points are (x₁, y₁) and (x₂, y₂).

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula.

On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is

Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Therefore, the correct answer is option C.

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Answer:1/2

Step-by-step explanation:

The Bayesian data analyst used a Beta(6, 25) prior distribution for θ. The posterior mean of θ is 0.32, the posterior standard deviation is 0.12, and a 95% equal-tailed credible interval for θ is (0.16, 0.51). The posterior probability that θ ≤ 0.2 is 0.16, and the posterior predictive probability that the salesperson will need to make strictly fewer calls today to fulfill today's quota of 5 successful calls is 0.64.

The Beta(6, 25) prior distribution is a conjugate prior for the binomial likelihood function. This means that the posterior distribution is also a Beta distribution, with parameters α = 6 + y = 31 and β = β + n - y = 25 + 20 = 45.

The posterior mean of θ is E(θ|y) = α/(α + β) = 31/76 = 0.32. The posterior standard deviation of θ is SD(θ|y) = √(β/(α + β)²) = 0.12. A 95% equal-tailed credible interval for θ is a range of values that contains 95% of the posterior probability mass. In this case, the 95% equal-tailed credible interval is (0.16, 0.51).

The posterior probability that θ ≤ 0.2 is P(θ ≤ 0.2|y) = 0.16. This means that there is a 16% chance that the true value of θ is less than or equal to 0.2.

The posterior predictive probability that the salesperson will need to make strictly fewer calls today to fulfill today's quota of 5 successful calls is P(y' < y|y) = 0.64. This means that there is a 64% chance that the salesperson will need to make strictly fewer than 20 unsuccessful calls today.

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The approximate probability that she checked a social website first, then a school-related website is 0.267.

First step is to calculate the Total number of websites

Total number of websites=Number of school websites+Number of social websites

Total number of websites=2+4

Total number of websites=6

Second step

Probability of checking the social website first

Probability of checking social website=Number of social websites/Total number of websites

Probability of checking social website= 4/6

Third step

Since one social website is checked which means that she is left with 3 social website and 2 school websites

Total number websites=2+3

Total number websites=5

Forth step

Probability of checking social website=Number of school websites/Total number websites

Probability of checking social website=2/5

Fifth step

Probability= 4/6 x 2/5 = 0.2666

Probability=0.267(Approximately)

Inconclusion the approximate probability that she checked a social website first, then a school-related website is 0.267.

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Answer:

0.267

Step-by-step explanation:

Total websites = school websites (2) + social websites (4) = 6

Checking social website = social websites (4) /Total websites (6) = 2/3

Total websites is 5

Checking social website = school websites (2) /Total websites (5)

4/6 x 2/5 = 0.2666

Answer: 0.267

Hope this helps :)

Answer: Dog=$40 per a dog and $20 per a cat

Step-by-step explanation:

Let the dog be x and cat be y

x=2y

10x=20y

20y+16y=32y

720/32=20

2x20=40

x=40

y=20

Answer:

38

Step-by-step explanation:

Since he wants to have equal number of rows and columns..the number of plants must be a root number. 6203 is not a root number. 6241 is the closest root number

(√6241= 79)

So he needs a minimum of 6241 plants in total for it.

6241-6203= 38

Therefore he needs 38 more plants

Big boxes have 1/4 of 20 gigabytes of ram will be 5 gigabytes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Big boxes have 1/4 of 20 gigabytes of ram.

Then the multiplication of the numbers 1/4 and 20 will be given by putting a cross sign between them. Then we have

⇒ (1/4) x 20

⇒ 20 / 4

⇒ 5 gigabytes

Big boxes have 1/4 of 20 gigabytes of ram will be 5 gigabytes.

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Answer:

\(\frac{2}{15}\)

Step-by-step explanation:

I hope this helps!

There are complete 3 groups of 3/4 in 11/4.

There are complete 8 groups of 3/4 in 6 1/2.

To find the number of groups of 3/4 in 11/4, we divide it by 3/4.

\(\frac{\left(\frac{11}{4}\right)}{\left(\frac{3}{4}\right)}=3.67\)

So there are complete 3 groups of 3/4 in 11/4.

To find the number of groups of 3/4 in 6 1/2, we divide it by 3/4.

\(\frac{\left(6\frac{1}{2}\right)}{\left(\frac{3}{4}\right)}=\frac{\left(\frac{13}{2}\right)}{\left(\frac{3}{4}\right)}=8.67\)

So there are complete 8 groups of 3/4 in 6 1/2.

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Answer:

$5.25

Step-by-step explanation:

Answer:

Open the image. (Hope you don't mind about bad writing)

Margin of Error = 1.96 * (6 / √10) ≈ 1.96 * 1.9 ≈ 3.72. So, the margin of error for the 95% confidence interval is approximately 3.72, rounded to 2 decimal places.

To find the margin of error, we first need to calculate the standard error:
standard error = sample standard deviation / square root of sample size
standard error = 6 / sqrt(10)
standard error = 1.8974
Next, we can use the formula for margin of error:
margin of error = critical value * standard error
Since we want a 95% confidence interval, our critical value is 1.96 (from a standard normal distribution table).
margin of error = 1.96 * 1.8974
margin of error = 3.72
Therefore, the margin of error for the mean customer satisfaction index is 3.72. Rounded to 2 decimal places, the answer is 3.72.

To calculate the margin of error for a 95% confidence interval, we will use the following formula:
Margin of Error = Z-score * (Sample Standard Deviation / √Sample Size)
In this case, the Z-score for a 95% confidence interval is 1.96, the sample standard deviation is 6, and the sample size is 10.
Margin of Error = 1.96 * (6 / √10) ≈ 1.96 * 1.9 ≈ 3.72
So, the margin of error for the 95% confidence interval is approximately 3.72, rounded to 2 decimal places.

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Step-by-step explanation:

Let the number of toppings be y

If cheese pizza at Chicago's Deep Dish pizza costs $7 and each topping costs an additional $0.75, the total amount of the dish pizza will be expressed as;

$7 + $0.75y ..... 1

Also, if a cheese pizza at Brooklyn's cost $12 and each topping costs an additional $0.50, then the total cost of cheese pizza will be;

$12 + $0.50y ........ 2

If the two pizzas cost the same, then equation 1 will be equal to equation 2 as shown;

7+0.75y = 12+0.50y

Make y the subject of the formula to generate the required equation for y:

0.75y-0.50y = 12-7

0.25y = 5

divide both sides by 0.25

0.25y/0.25 = 5/0.25

y = 5/0.25

y = 20

Hence the equation that represents how many toppings, y, must be added so that the two pizzas cost the same is y = 5/0.25 and the number of toppings added is 20.

The coordinates of point A as an ordered pair are given as follows:

(-0.5, -0.524).

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

The x-coordinate of the ordered pair in this problem is given as follows:

x = -0.5.

The function is defined as follows:

y = arcsin(x) -> arcsin(x) = sin^(-1)(x).

Hence the y-coordinate of the ordered pair is the numeric value of the function at x = -0.5, that is:

y = arcsin(-0.5)

y = -0.524.

Hence the coordinates of point A as an ordered pair are given as follows:

(-0.5, -0.524).

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The given points (1,1,3), (-6,-5,0), (-4,-2,-7), and (3,4,-4) form the vertices of a parallelogram.

To determine if the given points form the vertices of a parallelogram, we can use the properties of parallelograms. One of the properties of a parallelogram is that opposite sides are parallel.

Let's denote the points as A(1,1,3), B(-6,-5,0), C(-4,-2,-7), and D(3,4,-4). We can calculate the vectors corresponding to the sides of the quadrilateral: AB = B - A, BC = C - B, CD = D - C, and DA = A - D.

If AB is parallel to CD and BC is parallel to DA, then the given points form a parallelogram.

Calculating the vectors:

AB = (-6,-5,0) - (1,1,3) = (-7,-6,-3)

CD = (3,4,-4) - (-4,-2,-7) = (7,6,3)

BC = (-4,-2,-7) - (-6,-5,0) = (2,3,-7)

DA = (1,1,3) - (3,4,-4) = (-2,-3,7)

We can observe that AB and CD are scalar multiples of each other, and BC and DA are scalar multiples of each other. Therefore, AB is parallel to CD and BC is parallel to DA.

Hence, based on the fact that the opposite sides are parallel, we can conclude that the given points (1,1,3), (-6,-5,0), (-4,-2,-7), and (3,4,-4) form the vertices of a parallelogram.

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Answer: X = 5.0

Step-by-step explanation:

- since these are right triangles you can use trigonometry to solve this pretty easily

- for this situation, you only have to use sine/sin

__________________________________________________________

- to start you just need to identify which side is which:

- so, for this problem the equation is: \(10xSin(45) = 7.071067812\)

__________________________________________________________

- so 7.071067812 is the hypotenuse of the smaller triangle so you just do the same thing again

- start with identifying which side is which:

- so for this part, the equation is: \(7.071067812xSin(45) = 5.0\)

- so X = 5.0

__________________________________________________________

hope this helps :)

Answer:

x = 5

Step-by-step explanation:

Check the file for detailed solution.

This involves SOH-CAH-TOA method, always remember that the opposite of the 90 degree mark is always the hypotenuse. Meanwhile, the position of the given angle (theta) is dependent on which side it is placed. It give either an adjacent or opposite side.

The perimeter of Rebekah's new mural is 9 meters.

The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:

A rectangular mural measures 1 meter by 3 meters.

Rebekah creates a new mural that is 0.5 meters longer.

The perimeter of Rebekah's new mural,

= 2 (1.5 + 3)

= 9 meters.

Therefore, the perimeter is 9 meters.

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Answer:

9

Step-by-step explanation:

The critical value of 2.576. If |z| > 2.576, reject the null hypothesis; otherwise, fail to reject the null hypothesis.

To test the manufacturer's claim at a 1% significance level, we need to perform a hypothesis test. Let's define the null and alternative hypotheses:

Null hypothesis (H₀): The medicine is 90% effective in relieving backache.

H₀: p = 0.9

Alternative hypothesis (H₁): The medicine is not 90% effective in relieving backache.

H₁: p ≠ 0.9

Where p represents the true proportion of people who experience relief from backache after taking the medicine.

To conduct the hypothesis test, we will use the sample proportion and perform a z-test.

Calculate the sample proportion:

p = x/n

where x is the number of people who experienced relief (160) and n is the sample size (200).

p= 160/200 = 0.8

Calculate the standard error:

SE = √(p(1 - p)/n)

SE = √((0.8 * (1 - 0.8))/200)

Calculate the test statistic (z-score):

z = (p - p₀) / SE

where p₀ is the hypothesized proportion (0.9 in this case).

z = (0.8 - 0.9) / SE

Determine the critical value for a two-tailed test at a 1% significance level.

Since we have a two-tailed test at a 1% significance level, the critical value will be z* = ±2.576 (obtained from a standard normal distribution table or calculator).

Compare the absolute value of the test statistic to the critical value to make a decision:

If the absolute value of the test statistic is greater than the critical value (|z| > z*), we reject the null hypothesis.

If the absolute value of the test statistic is less than or equal to the critical value (|z| ≤ z*), we fail to reject the null hypothesis.

Substituting the values into the equation, we can determine the test statistic and compare it to the critical value.

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Answer:

24 gallons

Step-by-step explanation:

x = # gallons container can hold

1/6x + 8 = 1/2x

1/6x + 8 = 3/6x

8 = 2/6x

2x = 48

x = 24

The amount of gallons of water the container can hold is given by the equation A = 24 gallons

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of gallons of water the container can hold be A

The initial amount of water in the container = 1/6 full

The additional amount of water added = 8 gallons

The final amount of water in the container = 1/2 full

So , substituting the values in the equation , we get

( 1/6 )A + 8 = ( 1/2 ) A

On simplifying the equation , we get

Subtracting ( 1/6 )A on both sides of the equation , we get

( 1/2 )A - ( 1/6 )A = 8

( 1/3 )A = 8

Multiply b y3 on both sides of the equation , we get

A = 24 gallons

Therefore , the value of A is 24 gallons

Hence , the equation is A = 24 gallons

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