How do you find the third side of a right triangle with two sides?

Answer:

Part A

a. There is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05

Part B

[tex]\hat Y[/tex] = 17.9·(x) + 1.6

Part C

The teen pregnancy rate in Florida is 6.54

Step-by-step explanation:

The percentage of graduates that find full-time employment in their fields within the first year of graduation = 87%

The significant level of the hypothesis test = 5% = 0.05

The p-value = 0.07

Given that the testing conditions are met, we have;

The p-value is larger than the significant level of 0.05, therefore, it cannot be concluded that there is significant difference between the two rates

Therefore;

There is not enough statistical evidence available to come to a conclusion that the placement rate of full-time students has reduced below the given 87% because from the statistics, the p-value is larger than 0.05.

Part B

Number of Pages, x; 7, 12, 4, 14, 25, 30

Cost, y; 128, 213, 75, 250, 446, 540

The regression analysis formula is;

Y = a + b·X

We have;

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

∴ b = (6×34602-92×1652)/(6×1930 - 92²) ≈ 17.852

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

a = (1652 - 17.852 × 92)/6 ≈ 1.6

∴ Y ≈ 17.9·(x) + 1.6

Part C

The given regression model is y = 4.3 + 1.4(x)

Therefore, at x = 1.6, we get;

y = 4.3 + 1.4 × 1.6 = 6.54

The suggests that the teen pregnancy rate in Florida is 6.54.

Answer:

unidentified

Step-by-step explanation:

could you please send the other polygon or send an attachment of the whole question because this information is not enough

Answer:

Well the area is 28.27

Step-by-step explanation:

The question is unfinished ¯\_(ツ)_/¯

Answer:

36π [tex]in^{3}[/tex]

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex] = 9π

[tex]r^{2} = 9[/tex]

r = 3 = radius of the sphere

V = [tex]\frac{4\pi r^{3} }{3}[/tex] = [tex]\frac{4\pi 3^{3} }{3} = \frac{4\pi *27}{3}[/tex]

   = 36π [tex]in^{3}[/tex]

Answer:

ggjhh

Step-by-step explanation:

gf Dayanand on fall in didn't you

r = 88.5

y = 3/4

Step-by-step explanation:

From the lower triangle,

97 - 2x = 4x -2

Collecting all similar terms, we get

6x = 99 or x = 16.5

From the upper triangle, we can see that

5x + 6 = r ---> 5(16.5) + 6 = r or r = 88.5

Since the sum of all the interior angles of a triangle is equal to 180, we can write

4y + (5x + 6) + r = 180 ---> 4y + 5(16.5) + 6 + 88.5 = 180

4y = 3 or y = 3/4

There were 8 bhajis in the second bag if he have 2 bags of onion bhajis, one of which holds 42 bhajis.

What is an equation ?

In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. Equations are often written in the form of "expression = expression" or "expression - expression = 0"

Let's call the number of bhajis in the second bag "x".

We know that he total number of bhajis after emptying both bags onto the plate is 50.

So we can write an equation:

42 + x = 50

To solve for x, we can subtract 42 from both sides:

x = 50 - 42

x = 8

Therefore, there were 8 bhajis in the second bag.

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On solving the provided question, we can say that the permutation will bw  , N = (4!)(5!)(3!)(3!)= 103,680

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.

we can put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together will be , N = (4!)(5!)(3!)(3!)= 103,680

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Answer:

[tex] log48[/tex]

Step-by-step explanation:

[tex]2log6 - log12 + log16 \\ \\ = log {6}^{2} - log12 + log16 \\ \\ = log36 - log12 + log16 \\ \\ = log \frac{36}{12} + log16 \\ \\ = log3 + log16 \\ \\ = log(3 \times 16) \\ \\ = log48[/tex]

Answer:

17%

Step-by-step explanation:

5 out of 30 is 17%

5/30 = 5 ÷ 30 = .16.  rounds to .17 =17%

Answer:

Y=7x+67

Step-by-step explanation:

The answer is G. N=2 (75) d

Based on the information presented, the ratio represents 8th-grade baseball players to total athletes.

A ratio is a mathematical expression that shows the proportion or the number of a specific element in a category compared to the number of another element in the same category. For example, if you count the animals on a farm the ratio of cows to chickens can be 5:7, which means that for every 5 cows there are 7 chickens.

5 : This is the number of baseball players who are in 8th-grade

73: This is the total of players. You get this number if you add all the numbers given.

Based on this, this ratio is comparing the number of baseball players and total players, which means the meaning of this ratio is " the ratio of 8th grade baseball players to total athletes".

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Answer:

Step-by-step explanation:

Answer:

(-1, -5)

Step-by-step explanation:

going to the left makes you go into the (-, +) plane and going down from there makes you go into the (-, -) plane.

ln() is a function in Excel that calculates the natural logarithm of a number. The natural logarithm is the logarithm to the base e, where e is an irrational number approximately equal to 2.718281828.

1. Enter the number for which you want to calculate the natural logarithm in a cell.

2. Click on the cell and enter "=ln()" function (without the quotation marks) in the formula bar.

3. Within the parentheses, enter the cell reference or the number for which you want to calculate the natural logarithm.

4. Press the Enter key and the natural logarithm of the number will be calculated and displayed in the cell.

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A horizontal line is a line extending from left to right. When you look at the sunrise over the horizon you are seeing the sunrise over a horizontal line. The x-axis is an example of a horizontal line.

Now, According to the question:

What is a Horizontal Line?

Horizontal lines are also known as sleeping lines. In coordinate geometry, horizontal lines are those lines that are parallel to the x-axis. In geometry, we can find horizontal line segments in many shapes, such as quadrilaterals, 3d shapes, etc. In real life, we can find horizontal lines on the steps of the staircase, planks on the railway tracks, etc.

The x-axis is an example of a horizontal line.

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Answer:

m 8 would increase, or A

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Cake remaiing after eating 1/3 = 1/3 x 5 = 5/3 kg

let x = pieces he divided the cake into

5/3 ÷ x = 1/6

1/ x = 3/5 x 1/6 = 1/10

x = 10

Answer:

48cm3

Step-by-step explanation:

Volume of a rectangular box = a.b.c
The volume of the solid figure: (2.2.5) + (7.2.2) = 20 + 28 = 48 cm3

Answer:

y = (10 + 7)/x  or  y = x/10 + 7/10

Step-by-step explanation:

y = 10x - 7

switch x and y

x = 10y - 7

add 7 to both sides

x + 7 = 10y

Divide both sides by 10

(x + 7)/10 = y

Flip

y = (10 + 7)/x  or  y = x/10 + 7/10

When Dylan travels 8 miles due north, the distance between the homes of the parents and grandparents is thus 9 miles.

The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem. The perpendicular, base, and hypotenuse of this triangle are its three named sides. With the aid of the Pythagorean Theorem, we may determine the side lengths of a right triangle by adding the areas of three intersecting squares. The base for more intricate trigonometry ideas, such as the Pythagorean theorem's opposite, is provided by this theorem, which is a very helpful tool.

given

by pythagoras theorem

[tex]c^{2} = a^{2} + b^{2} \\c^{2} = 8^{2} + 5^{2} \\c^{2} = 64 + 25 \\c^{2} = 89 \\c = 9[/tex]

The homes of the parents and grandparents are thus 9 miles apart in a straight line.

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The diameter of Mars is 6825 kilometers.

First we quantify angular size a = 8. 0 arcseconds in radians.

a = ( 8/ 3600) × (π/180)

a = 0.000039 radians

also, the distance from Earth to Mars in kilometres is 175,000,000 km

So, r = 175,000,000 km

We use the formula S = r x a to find the diameter of Mars

Substitute r = 175,000,000 and a = 0.000039 in above formula

S = 175,000,000 × 0.000039

S = 6825 km

Therefore, the diameter is 6825 km

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The option 1 "Simple random sampling, because the people in the sample are accessible and available" is correct for the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country.

In the given question, we have to find which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country.

As we know that, you must carefully consider how you will choose a sample that is representative of the group as a whole if you want to make accurate conclusions from your data. It is known as a sampling method.

Every individual in the population has an equal chance of being chosen in a simple random sample. The entire population should be included in your sampling frame.

You might utilize instruments like random number generators or other methods that just rely on chance to carry out this kind of sampling.

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The complete question is:

Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country?

(1) Simple random sampling, because the people in the sample are accessible and available

(2) Stratified sampling, because there are specific subgroups to investigate

(3) Systematic sampling, because of the ease in selecting every nth person

(4) Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement

(5) All the above sampling methods

Answer:

Two expressions for the area are;

i) x/3 + 2·y + 6

ii) (1/3) × (x + 6·y + 18)

Step-by-step explanation:

The given dimension of the rectangle are;

The height of the rectangle, h = 1/3

The width of the smallest rectangle, w₁ = x

The width of the med sized rectangle, w₂ = 6·y

The width the large rectangle, w₃ = 18

The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;

A = A₁ + A₂ + A₃

Where;

A₁ = The area of the smallest rectangle

A₂ = The area of the mid sized rectangle

A₃ = The area of the large rectangle

∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6

The area of the big rectangle. 'A', can also be found as follows;

A = (1/3) × (x + 6·y + 18)

Therefore, two expressions for the area of the big rectangle are;

x/3 + 2·y + 6 and (1/3) × (x + 6·y + 18).

Answer:

We fail to reject the Null and conclude that the standard deviation of the contributions of all sanitation workers is not greater than that of all workers living in the city.

Step-by-step explanation:

σ = 1.40 ; σ² = 1.40² = 1.96

H0 : σ² = 1.96

H0 : σ² > 1.96

Given that:

Sample size, n = 12

Population Standard deviation, σ = 1.40

Sample standard deviation, s = 1.75

α = 0.01

The test statistic :

χ² = [(n-1)s²] ÷ σ²

χ² = [(12 - 1) * 1.75²] ÷ 1.40²

χ² = (11 * 3.0625) ÷ 1.96

χ² = 33.6875 / 1.96

χ² = 17.1875

χ² = 17.19

Using the Pvalue from Chisquare score calculator;

df = n - 1 ; 12 - 1 = 11

Pvalue ; χ²(17.19, 11) = 0.10238

Since Pvalue > α ; We fail to reject the Null and conclude that the standard deviation of the contributions of all sanitation workers is not greater than that of all workers living in the city.

Answer: we need more information to solve

Step-by-step explanation:

No, the sine ratio of an acute angle cannot be greater than 1. The sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. Since the side opposite the angle is shorter than the hypotenuse, the ratio will always be less than one.

To what does sin equate?

In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.

It's important to note that if you were to give an angle value greater than 90 degrees, the sine of the angle will be a negative value, but the ratio will still be less than one.

The sine ratio is a value between -1 and 1, and it is impossible for the sine of an acute angle to be greater than 1.

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The total value of the furniture that was sold by Dennis is 3,500 dollars.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Dennis made an extra $245.00 for selling furniture.

Let the cost of the furniture be x.

Let the total value of the furniture be x + 245.

The extra $245.00 was 7% of the total value of the furniture he sold.

0.07(x + 245) = 245

        x+ 245 = 3500

                  x = 3255

Then the total value of the furniture is (3,255 + 245 =) $3,500.

Hope it helped!