If the sum of a number and nine is doubled the result is three less than the number find the number

The distance between the points (-10, -10) and (-1, 2) is 15 units.

To calculate the distance between two points in a two-dimensional Cartesian coordinate system, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the length of the hypotenuse of a right triangle formed by the two points and the origin.

Let's consider the two given points: Point A (-10, -10) and Point B (-1, 2).

The distance formula is as follows:

d = \(√((x2 - x1)^2 + (y2 - y1)^2)\)

Using the given points, we substitute the values into the formula:

d = \(√((-1 - (-10))^2 + (2 - (-10))^2)\)

= \(√((9)^2 + (12)^2)\)

= \(√(81 + 144)\)

= √225

= 15

We can visualize this by plotting the two points on a Cartesian plane. Point A (-10, -10) would be located in the third quadrant, and Point B (-1, 2) would be located in the second quadrant. The distance between these two points is the length of the straight line connecting them, which is 15 units.

It's important to note that the distance is always a positive value, as it represents the length between two points and does not have a direction associated with it.

for more such questions on cartesian coordinate system

https://brainly.com/question/9179314

#SPJ8

Answer:

false

Step-by-step explanation:

polygons have more then 3 sides and are enclosed figures such as a pentagon may be classified as a polygon.

The valid conclusion that can be drawn from the given statements is "∠2 ≅ ∠1". This conclusion was drawn using the Law of Detachment.

The first statement is a universal conditional statement, which means that it is true for all vertical angles. The second statement is a particular statement, which means that it is true for a specific pair of angles, ∠1 and ∠2.

The Law of Detachment states that if a universal conditional statement is true and the hypothesis of that statement is also true, then the conclusion of that statement must also be true. In this case, the universal conditional statement is "Vertical angles are congruent" and the hypothesis is "∠1 ≅ ∠2". Since the universal conditional statement is true and the hypothesis is true, the conclusion "∠2 ≅ ∠1" must also be true.

Therefore, the valid conclusion that can be drawn from the given statements is "∠2 ≅ ∠1". This conclusion was drawn using the Law of Detachment.

To learn more about vertical angles click here : brainly.com/question/24566704

#SPJ11

Complete Question

The area of grandiose rectangular painting is 56 in.² the width of the painting is 7 inches what is the diagonal of the painting

Answer:

The diagonal of the rectangular painting is  \(z = 10.63 \ m\)

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

From the question we are told that  

    The area is \(A = 56 \ in^2\)

    The width of the painting is \(w = 7 \ in\)

Generally the area of the rectangle is mathematically represented as

          \(A = l * w\)

where \(l\) the length which is mathematically evaluated as

          \(l = \frac{A}{w}\)

substituting value  

         \(l = \frac{56}{7}\)

          \(l = 8 \ in\)

According Pythagoras theorem

     \(z ^ 2 = l^2 +w^2\)

Where z is the diagonal of the rectangular painting

  Now substituting values

      \(z = \sqrt{7^2 + 8^2}\)

      \(z = 10.63 \ m\)

-12.75 belongs to the set of Rational numbers.

A rational number is a number that can be expressed as the quotient or fraction frac p q of two integers, a numerator p

and a non-zero denominator q.

Rational numbers are numbers that can be expressed as a fraction of two integers (p/q), where q is not equal to zero.

Identify the number: -12.75

Determine if it can be expressed as a fraction of two integers: -

12.75 can be written as -51/4, which are both integers.

Confirm that the denominator (q) is not equal to zero:

In this case, q = 4, which is not equal to zero.

Therefore, -12.75 belongs to the set of Rational numbers.

for such more question on Rational numbers

https://brainly.com/question/19079438

#SPJ11

The probability that student chosen at random is 16 years is 0.28.

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

learn more on probability here: https://brainly.com/question/23776861

#SPJ1

We find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

What is the tangent of the angle?

The ratio of the right-angle triangle's base or perpendicular is known as the tangent of the angle.

The ratio of two of the right-angled triangle's three sides is used to define the sine, cosine, and tangent of an acute angle.

Here,

We have to find out how is a right triangle used to find the sine and cosine of an acute angle is there a unique right triangle that must be used.

We concluded that a right triangle can be used to determine the tangent of any acute angle, by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

Hence, we find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

To learn more about the tangent of the angle from the given link

https://brainly.com/question/8846313

#SPJ4

Answer:

Hi! The answer to your question is 8

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

a) The probability that an apple from the tree has a weight greater than 90 grams is of: 0.2514 = 25.14%.

b) i) The p-value of the test is of: 0.0045.

b) ii) The conclusion of the test is given as follows: There is enough evidence to conclude that the mean weight of apples from tree A is greater than the mean weight of apples from tree B, as the p-value of the test is less than the significance level.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of the weight of the apples are given as follows:

\(\mu = 85, \sigma = 7.5\)

The probability that an apple from the tree has a weight greater than 90 grams is one subtracted by the p-value of Z when X = 90, hence:

Z = (90 - 85)/7.5

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

1 - 0.7486 = 0.2514 = 25.14%.

For each sample, the mean and the standard error are given as follows:

Hence, for the distribution of differences, the mean and the standard error are given as follows:

The test statistic is given by the division of the mean by the standard error of the distribution of differences, hence:

z = 4.2/1.61 = 2.61.

Using the z-table, with z = 2.61, the p-value is of:

0.0045.

As the p-value is less than the significance level, there is enough evidence to conclude that the mean weight of apples from tree A is greater than the mean weight of apples from tree B.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

The value of UR = 13 mm

Given:

HGJI ≅ RSTU

proportional sides:

HG = JI

GJ = ST

JI = TU

IH = UR

From the figure:

IH = 13 mm

so IH = UR = 13

UR = 13 mm.

Therefore the value of UR = 13 mm.

Learn more about the value here:

https://brainly.com/question/14316282

#SPJ1

Answer:

\(y=-\frac{1}{2} x+\frac{7}{2}\)

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

\(y=2r-7\)

From the given equation, we can identify clearly that 2 is in the place of m, making it the slope. The negative reciprocal of 2 is -1/2, so therefore, the slope of a perpendicular line would be -1/2. Plug this into \(y=mx+b\):

\(y=-\frac{1}{2} x+b\)

2) Determine the y-intercept (b)

\(y=-\frac{1}{2} x+b\)

Plug in the given point (-5,6) and solve for b

\(6=-\frac{1}{2} (-5)+b\\6=\frac{5}{2}+b\)

Subtract 5/2 from both sides to isolate b

\(6-\frac{5}{2}=\frac{5}{2}+b-\frac{5}{2}\\\frac{7}{2} =b\)

Therefore, the y-intercept of the line is \(\frac{7}{2}\). Plug this back into \(y=-\frac{1}{2} x+b\):

\(y=-\frac{1}{2} x+\frac{7}{2}\)

I hope this helps!

Answer:

x = 4.

Step-by-step explanation:

These are exterior  alternate angles which are congruent.

So 21x + 6 = 90

21x = 84

x = 4.

Answer:

[see below]

Step-by-step explanation:

If you are given a fraction, convert it into a decimal by diving the numerator by the denominator.

After converting it into a decimal, you multiply it by 100 to get the percent value. After that, you add the percent sign.

Example:

\(\text{Convert \frac{5}{10} into a percent.}\)\(\text{Convert } \frac{5}{10} \text{ into a percent.}\\\\\\\rightarrow \text{Step One: Convert into decimal.}\\\\\frac{5}{10}=0.5\\\\\rightarrow \text{Step Two: Multiply by 100 and then add percent sign.}\\\\0.5 * 100 = 50\\\\\)

50%

\(\frac{5}{10}=50\)%

Hope this helps.

Answer:

Divide the numerator into the denominator, then move the decimal 2 places to the right.

Step-by-step explanation:

Let's use 3/4 as an example.

Divide 3 into 4 and you get 0.75

Move the decimal 2 places to the right and you get 75

Then just add a percent sign (75%)

I hope this helps, and have a great day! :)

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

The idealized regression line is y = β₀ + β₁x + ε, and the least-squares regression line is Y = b₀ + b₁x. Four assumptions for regression inference are linearity, independence, homoscedasticity, and normality. The standard error of the regression slope is affected by the spread, sample size, and relationship strength. The formula for the standard error of the slope is SEb₁ = √[ Σ(\(y_i - Y_i\))² / (n-2) ] / √[ Σ(\(x_i\) - X)² ]. If there is no association between two variables, the slope of the regression line should be zero.

There are two equations commonly used in regression analysis: the idealized regression line and the least-squares regression line.

The equation for the idealized regression line is

y = β₀ + β₁x + ε

where

y is the dependent variable

x is the independent variable

β₀ is the intercept

β₁ is the slope

ε is the error term

The equation for the least-squares regression line is

Y = b₀ + b₁x

where

Y is the predicted value of y

x is the independent variable

b₀ is the intercept

b₁ is the slope

There are four assumptions and conditions that must be met in order to perform inference for regression

The relationship between the independent variable and dependent variables is called Linearity . To check linearity, plot the dependent variable against the independent variable and look for a straight-line pattern.

Independence, The observations are independent of each other. To check independence, ensure that there is no relationship between the residuals (the difference between the observed value and the predicted value) and any other variables.

The constant variance of errors across independent variable of all level is called homoscedasticity. To check homoscedasticity, plot the residuals against the predicted values and look for a consistent spread of points around zero.

Normality, The errors are normally distributed. To check normality, plot a histogram of the residuals and look for a roughly bell-shaped distribution.

The formula for the standard error for the slope is

SEb₁ = √[ Σ(\(y_i\)- \(Y_i\))² / (n-2) ] / √[ Σ(\(x_i\) - X)² ]

where

\(y_i\), observed value of variable which is dependent for the ith observation

\(Y_i\) is the predicted value of the dependent variable for the ith observation

\(x_i\), the observed value of variable which is independent for the ith observation

X is the mean of the independent variable

n is the sample size

The formula for the sampling distribution for regression slopes is

b₁ ~ N(β₁, σ² / Σ(\(x_i\) - X)²)

where

b₁, least-squares regression line's slope

β₁ is the true population slope

σ² is the variance of the errors

If there is no association between two variables, the slope of the regression line should be zero. it depicts that the variable which is independent has no effect on the variable which is dependent.

To know more about regression line:

https://brainly.com/question/7656407

#SPJ4

Answer:

15

Step-by-step explanation:

4x+y=8 so the answer is 15?

Answer:

Consistent Independent

Consistent Dependent

Inconsistent

Step-by-step explanation:

The height of the rectangular pyramid with a volume of 56 m³ and base dimensions of 3 m by 7 m is 8 meters.

To find the height of the pyramid, we can use the formula for the volume of a rectangular pyramid: V = (1/3) * l * w * h, where V is the volume, l and w are the dimensions of the base, and h is the height. We are given the volume (56 m³) and the dimensions of the base (3 m by 7 m). We need to find the height (h).

Step 1: Plug in the given values into the formula.
56 m³ = (1/3) * 3 m * 7 m * h

Step 2: Simplify the equation.
56 m³ = (1/3) * 21 m² * h

Step 3: Multiply both sides by 3 to get rid of the fraction.
168 m³ = 21 m² * h

Step 4: Divide both sides by 21 m² to isolate the variable h.
h = 168 m³ / 21 m²

Step 5: Calculate the height.
h = 8 m

So, the height of the rectangular pyramid is 8 meters.

know more about rectangular pyramid  click here:

https://brainly.com/question/21416050

#SPJ11

Answer:

30,000 rupees

Step-by-step explanation:

Percentage of custom duty = 30%

Amount of custom duty = 9000 rupees

Let

x = value of the item which is being imported

30% of x = 9000 rupees

30/100 * x = 9000

0.3 * x = 9000

0.3x = 9000

x = 9,000/0.3

x = 30,000 rupees

x = value of the item which is being imported = 30,000 rupees

Answer:

Step-by-step explanation:  The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

Answer:

16

Step-by-step explanation:

2^10 = 1,024

2^6 = 64

1,024/64 = 16

Hope that helps!

At the 0.05 significance level, is the number of units produced on the night shift larger. This is a two-tailed test.

The mean number of units produced by a sample of 82 day-shift workers was 359. The mean number of units produced by a sample of 88 night-shift workers was 365.

The population standard deviation of the number of units produced is 35 on the day shift and 42 on the night shift.

To determine whether there are more units produced on the night shift than on the day shift.

Null Hypothesis, H0: μ1 = μ2

Alternative Hypothesis, Ha: μ1 < μ2

Pooled Variance

\(sp = \sqrt{(S_1)^2/n_1+(S_2)^2/n_2}\)

sp = √(441/82 + 784/88)

sp = 3.77

Test statistic,

\(z = (\bar x_1 - \bar x_2)/sp\)

z = (359 - 365)/3.77

z = -1.59

P-value Approach

P-value = 0.0968

As P-value >= 0.05, fail to reject null hypothesis.

At the 0.05 significance level, is the number of units produced on the night shift larger. This is a two-tailed test.

Learn more about Hypothesis here:

https://brainly.com/question/17063554

#SPJ4

Answer:

P(team will win)=0.4

P(team will draw)=0.3

P(t want will not win) = 1 - 0.4+0.3

=1-0.7=0.3

Hello there mate ☺️,

\(8 {x}^{11} \)is the correct answer.

For explanation, please check the attached image of answer.

✍️ By Benjemin ☺️

Answer:

f(x) = 3x - 7

Step-by-step explanation:

Let the independent variable of a function is 'y' and dependent variable 'x'.

Therefore, function will be in the form of y = ax - b

Now statement given in the question states that "The output is 7 more than 3 times the input."

That means y is 7 less than 3 times of x.

y = 3x - 7

Rewrite this equation in the form of a function.

f(x) = 3x - 7

The best sports that need more flexibility of our body are:

Because your muscles will be strong enough to support your daily activities if they are under the proper level of strain, you will feel less aches and pains. Its advantages for the mind must also be mentioned. Stretching releases tension, which reduces stress. Overall, flexibility enhances posture, mobility, coordination, and risk of muscular discomfort. Spending time on increasing flexibility is worthwhile. Which sports are the best to achieve it knowing this?

Now that we've cleared everything up, what exactly is flexibility? The range of motion in a joint or collection of joints is referred to as flexibility. Flexibility in one joint doesn't always translate to flexibility in another.

To know more about flexibility click on below link  :

brainly.com/question/10881309#

#SPJ4

The base of the small triangle is 4.8 cm. the ratio of corresponding sides of similar triangles is equal. Since the height of the small triangle is 12 cm, which is 3/4 of the height of the big triangle (16 cm), the base of the small triangle must be 3/4 of the base of the big triangle (8.6 cm). Therefore, x = (3/4) * 8.6 cm = 6.45 cm, which simplifies to 4.8 cm.

To find the base of the small triangle (x), we can use the concept of similar triangles. Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

In this case, we have a big triangle and a small triangle. The height of the small triangle is given as 12 cm, while the height of the big triangle is 16 cm. Since the height of the small triangle is 3/4 of the height of the big triangle (12/16 = 3/4), we can deduce that the corresponding sides are also in a 3:4 ratio.

The base of the big triangle is given as 8.6 cm. Since the height and base of the big triangle are in a 3:4 ratio, we can multiply the base of the big triangle by 3/4 to find the base of the small triangle.

Therefore, x (the base of the small triangle) is equal to (3/4) * 8.6 cm = 6.45 cm. This value can be simplified to 4.8 cm. Hence, the base of the small triangle is 4.8 cm.

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ11

Step-by-step explanation:

1.

the y-intercept comes automatically from the given form, as the y-intercept is the y value when x = 0.

so, in

x² - 12x + 46

the y-intercept is 46, or as point (0, 46).

now to the vertex form and vertex itself.

the vertex form for such a quadratic equation is

y = a(x - h)² + k

with (h, k) being the vertex.

since we have a plain x² term in the basic expression, "a" must be 1.

so, we have the simpler version

y = (x - h)² + k = x² - 2hx + h² + k

so, let's compare this with our basic expression, and we see

-2h = -12

h = 6

h² + k = 46

6² + k = 46

36 + k = 46

k = 10

so, the vertex form is

y = (x - 6)² + 10

and the vertex is (6, 10)

2.

the equating of a circle is

(x - x1)² + (y - y1)² = r²

with (x1, y1) being the center of the circle, and r being the radius.

so, the center is then (3, -3), and the radius is sqrt(36)=6.

3.

as explained in 2. this would be

(x - 4)² + (y + 9)² = 3² = 9

4.

x² + y² + 6x - 2y + 9 = 0

this has to turn into

(x - x1)² + (y - y1)² = r²

x² - 2x×x1 + x1² + y² - 2y×y1 + y1² = r²

x² - 2x×x1 + x1² + y² - 2y×y1 + y1² - r² = 0

"x² + 6x" suggests that for x1 of the first term

6x = - 2x×x1

x1 = -3

and "y² - 2y" suggests for y1 of the second term

-2y = -2y×y1

y1 = 1

that gives us for the constant terms and radius

x1² + y1² - r² = 9

(-3)² + 1² - r² = 9

9 + 1 - r² = 9

1 - r² = 0

r² = 1

r = 1

so, the standard circle equation is

(x + 3)² + (y - 1)² = 1

Answer:

Step-by-step explanation:

   (x+1)       = domain = all real #s

(x²-6x-8)⇒ (x-4)(x-2)= x≠ 2,4

Because you can not have a zero in the denominator, x≠2,4

so your domain is (-∞,2)∪(2,4)∪(4,∞)