Find an angle in each quadrant with a common reference angle with 240°, from
0°≤0<360°

Answer:

Answer:options A is correct answers.

Answer: 40000+8000

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

68 + 2x = 90

-68          -68

        2x = 22

         /2     /2

          x = 11

Answer:

It should be 1

Answer: 1 is your answer!

Step-by-step explanation:

GCF = 1

for the values 14, 15, 21

Solution by Factorization:

The factors of 14 are: 1, 2, 7, 14

The factors of 15 are: 1, 3, 5, 15

The factors of 21 are: 1, 3, 7, 21

Then the greatest common factor is 1.

The appropriate test statistic for the hypothesis being tested and to compare the test statistic to a critical value from a distribution table.

An index that is calculated from sample data and whose value determines whether to accept or reject a null hypothesis is a test statistic.

A test statistic is used to determine the probability of obtaining the observed data under the null hypothesis.

If the test statistic falls within a specified range, the null hypothesis is accepted.

If the test statistic falls outside of the specified range, the null hypothesis is rejected.

The test statistic is calculated from the sample data and is based on the distribution of the sample data.

There are many different types of test statistics, each of which is used to test a different hypothesis.

Some common test statistics include the t-statistic, the F-statistic, and the chi-square statistic.
The t-statistic is used to test the difference between the means of two populations.

The F-statistic is used to test the equality of variances between two populations.

The chi-square statistic is used to test the independence of two categorical variables.
In order to calculate a test statistic, one must first formulate a null hypothesis and an alternative hypothesis.

The null hypothesis is the hypothesis that is assumed to be true, and the alternative hypothesis is the hypothesis that is being tested. The test statistic is then calculated from the sample data, and its value is compared to a critical value from a distribution table.

If the test statistic is greater than or equal to the critical value, the null hypothesis is rejected. If the test statistic is less than the critical value, the null hypothesis is accepted.
In conclusion, a test statistic is an index that is calculated from sample data and is used to determine whether to accept or reject a null hypothesis.

It is important to use the appropriate test statistic for the hypothesis being tested and to compare the test statistic to a critical value from a distribution table.

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Answer:

50×100÷950=5.26

Round off 5.26

=5.3%

What is the first error Vanessa made in her proof: B. Vanessa only established some of the necessary conditions for a congruence criterion.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the reflexive property of equality, we can logically deduce the following congruent and similar triangles:

KM ≅ KM

ΔKLM ≅ ΔMNK  (SSS similarity theorem).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Check the picture below.

During most of their eighth year, children have 24 teeth in their mouth, which include both primary and secondary teeth.

The primary teeth, also known as baby teeth, start erupting around six months of age and typically finish erupting by the age of two to three years. There are a total of 20 primary teeth, consisting of 8 incisors, 4 canines, and 8 molars.

As the child grows, the primary teeth start to shed, making way for the permanent teeth, also known as secondary teeth. The permanent teeth begin to erupt around the age of six, starting with the first molars. By the eighth year, most children have a mix of primary and secondary teeth.

At this stage, they would typically have 8 incisors, 4 canines, and 8 premolars, totaling 24 teeth in their mouth. The remaining permanent teeth, including the second molars and third molars (wisdom teeth), may continue to erupt later in the child's development.

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Answer:

A triangle with the side lengths of these numbers can not exist: 9,3 and 6

Step-by-step explanation:

hope it helps

Step-by-step explanation:

Let the third side be x

We know that

Sum of two sides of a triangle must be greater than the third side

So,

9 + 3 > x

12 > x (1)

Also, difference of two side of triangle must be smaller than the third side

9 - 3 < x

6 < x (2)

From 1 and 2 we concluded

6 < x < 12

The length of third side would lie between 7 to 11

Step-by-step explanation:

0.29*10= 2.9

0.29/10= 0.029

29*10= 290

29/10= 2.9

2.9*100= 290

2.9/100= 0.029

2900000/1000= 2900

Hope this helped! :)

Answer:

Step-by-step explanation:

0.29*10=2.9(since it is multiplied by ten and there is one 0 in number 10 the decimal place will come 1 unit right making it 2.9)

29*10=290here first multiply 29 and 1 and add one 0 to it)

29÷10(since it is divided by ten there will be decimal one unit left of 9 i.e.2.9)

29*10000(first multiply 29 and 1 and since there are 4 0's add 4 zero to the product that will give u 240000 .adding 0 depends upon the question)

2900000÷1000(here u shold just cancel the certain number of 0 in noth munerator and denominator.since there are 3 0 in denominator cancel 3 0 from denominator and 3 0 from numerator.Then wu will have

2900/1

since the denominator is 1 u can simply write 2900.

Hope this helps u!!

Answer:

5.66666666667

Step-by-step explanation:

The annual interest rate for the bank account is r = 3.7 %

Given data ,

A = P(1 + r/n)^(nt)

where A is the amount after t years, P is the principal (initial amount), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

a)

To find the principal, we can use the information from the first year:

$1739.50 = P(1 + r/n)^(n*5)

$1739.50 = P(1 + r/n)^5

We don't know the values of P, r, or n, but we can simplify the equation by dividing both sides by (1 + r/n)^5:

$1739.50 / (1 + r/n)^5 = P

Now we can use the information from the second year to solve for r:

$1803.40 = P(1 + r/n)^(n*6)

$1803.40 = ($1739.50 / (1 + r/n)^5) * (1 + r/n)^6

Simplifying, we get:

$1803.40 = $1739.50 * (1 + r/n)

Dividing both sides by $1739.50, we get:

1.036928 = 1 + r/n

Subtracting 1 from both sides, we get:

0.036928 = r/n

b)

To find the annual interest rate, we need to solve for r.

We know that r/n = 0.036928, so we can solve for r by multiplying both sides by n:

r = 0.036928n

$1739.50 = P(1 + r/n)^5

Substituting r = 0.036928n, we get:

$1739.50 = P(1 + 0.036928n/n)^5

Simplifying, we get:

$1739.50 = P(1.036928)^5

Dividing both sides by (1.036928)^5, we get:

P = $1500

Now we can substitute P = $1500 and r/n = 0.036928 into the equation r = 0.036928n and solve for r:

r = 0.036928n = 0.036928 * 1 = 0.036928

Hence , the annual interest rate is 3.7%

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The composition of transformations that map ABCD to A'B'C'D' is to rotate clockwise about the origin by 90°, then reflect over the x -axis.

The coordinates of ABCD are given in the graph as,

A is (-6, 6) , B is (-4, 6) , C is (-4, 2) and D is (-6, 2)

After transformation of ABCD the coordinates changes to A'B'C'D' and are given in graph as,

A' is (6, -6) , B' is (6, -4) , C is (2, -4) and D is (2, -6)

From comparison of the initial coordinates of ABCD to that of transformed A'B'C'D' we can get that,

A(x, y) = A'(y, x)

Thus, the coordinates are observed to rotate clockwise 90° about the origin.

Also, the coordinates after transformation are reflected over the x- axis.

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Answer:

B. 8.905, 8.007, 7.903, 7.093  :)

Step-by-step explanation:

Answer:

answer is b they all add up

Step-by-step explanation:

The domain of the exponential function can take values is option (B) all real numbers is the correct answer.

Exponential function involves exponents. An exponential function is an function with exponents where the exponent (or) a part of the exponent is a variable. The population increase or decrease can be modeled as exponential function.

For the given situation,

In 1990, Jamaica's initial population,P₀ = 2,466,000

Rate of population growth,r = 1.1% = 0.011

Let x be the number of years

Then the population growth can be written as

\(P(x)=P_{0}(1+r)^{x}\) ------- (1)

Now substitute the above values,

⇒ \(P(x)=2466000(1+0.011)^{x}\)

For x=0,

⇒ \(P(0)=2466000(1+0.011)^{0}\)

⇒ \(P(0)=2466000(1)\)

⇒ \(P(0)=2466000\)

If we need to find the population growth in future years, we need to use positive values of x.

If we need to find the population growth in past years, we need to use negative values of x.

If we need to find the intermediate values, then we need to use rational numbers.

Hence we can conclude that the domain of the exponential function can take values is option (B) all real numbers is the correct answer.

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Answer:

614

Step-by-step explanation:

Answer:

$614

Step-by-step explanation:

Required critical value is 0.001.

For the two-tailed test with α = 0.002, you

need to find the positive critical value zα/2. To do this, use the invNorm function in your calculator:

1. Divide the alpha level by 2: 0.002 / 2 = 0.001

2. Find the corresponding z-score using invNorm: invNorm(1 - 0.001) = invNorm(0.999)

3. Round the z-score to three decimal places.

For the left-tailed test with α = 0.01, you need to find the critical value zα. To do this, use the invNorm function in your calculator:

1. Find the corresponding z-score using invNorm: invNorm(0.01)

2. Round the z-score to three decimal places.

After calculating the z-scores, your answer should look like this:

For the two-tailed test with α = 0.002, the positive critical value zα/2 is approximately 0.001 (replace with your calculated value). For the left-tailed test with α = 0.01,

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The required property Linearity of expectation is proved below.

Linearity of expectation is the property that the expected value of the sum of random variables is equal to the sum of their individual expected values, regardless of whether they are independent.

Let p(x) be the probability mass function.

Then, by definition,

E( aX + b ) = \(\sum{(ax+b)(p(x))}\\x\)

=> E (aX + b) = \(\sum{(ax.p(x) + b.p(x))}\\x\)

=> E (aX + b) = \(\sum{ax.p(x)}\\x\) + \(\sum{b.p(x)}\\x\)

=> E (aX + b) =( \(\sum{x.p(x)}\\x\))a +( \(\sum{p(x)}\\x\))b

=> E (aX + b) = a E(X) + b [ as E(X) = \(\sum{x.p(x)}\\x\) and \(\sum{p(x)}\\x\) = 1 ]

Hence, proved the property Linearity of expectation.

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The result is approximately 0.0366. Comparing this value with the given options, the closest answer is e. 0.04.

Given X is an exponential random variable with λ = 4. We want to find f_Y(0), where Y = -2X + 2.
First, let's find the inverse transformation of Y:  X = (2 - Y)/2
Now, we'll find the Jacobian of the transformation:
dX/dY = -1/2

Next, we'll find the probability density function (PDF) of X: f_X(x) = λe^(-λx) = 4e^(-4x)
Now we can find the PDF of Y using the formula: f_Y(y) = f_X((2 - y)/2) * |dX/dY|
Substitute the values: f_Y(y) = 4e^(-4(2 - y)/2) * |-1/2|
Now we can find f_Y(0): f_Y(0) = 4e^(-4(2 - 0)/2) * |-1/2| f_Y(0) = 4e^(-4) * 1/2

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Answer:

s

Step-by-step explanation:

I think so cuz im doin the test rn

The area of triangle ΔQRS is approximately 10.8 square centimeters.

To find the area of triangle ΔQRS, we can use the formula A = (1/2) * base * height. In this case, the base is given as s = 3.2 cm, and we need to find the height.

To find the height, we can use trigonometric ratios. Since we know ∠S = 25° and ∠Q = 92°, we can use the sine ratio to calculate the height. The sine of ∠S is equal to the opposite side (the height) divided by the hypotenuse (s). Thus, sin(25°) = height / 3.2.

Solving for the height, we get height = 3.2 * sin(25°) ≈ 1.363 cm.

Now, we can calculate the area using the formula A = (1/2) * base * height. Substituting the values, we have A = (1/2) * 3.2 * 1.363 ≈ 10.8 square centimeters.

Therefore, the area of triangle ΔQRS is approximately 10.8 square centimeters, rounded to the nearest 10th.

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Answer:

19.4

Step-by-step explanation:

Answer:

It will take 26.88hours to get to the beach

Step-by-step explanation:

From the problem statement, we are asked to find the time required to reach the beach.

given data

distance s=1344 miles

speed v= 50 mph

time t=?

we know that the relationship between speed, distance and time is given as

velocity=distance/time

substituting our given data into the expression we have

50=1344/t

making t subject of the formula we have

t=1344/50

t= 26.88 hours

Therefore it will take 26.88hours to get to the beach

Answer:

Check the picture i sent you i hope it'll be helpful

Answer:

x = 10.8

Step-by-step explanation:

9 ÷ x = x ÷ (9 + 4)

9 × (9 + 4) = x × x

9 × 13 = x²

117 = x²

x = 10.81665383

======================================================

Explanation:

The notation <-5,2> is the same as writing the translation rule \((x,y) \to (x-5,y+2)\)

It says: move 5 units to the left and 2 units up

The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).

---------

Or you could write out the steps like so

\((x,y) \to (x-5, y+2)\\\\(6,2) \to (6-5, 2+2)\\\\(6,2) \to (1, 4)\\\\\)

We see that (6,2) moves to (1, 4)

Answer: the width is 8 miles

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer: the lcd is 24