Find the slope.
y = 11x - 7
=
-
m =
= 11

Answer:

67

Step-by-step explanation:

we have a gap between 1st and 2nd terms of 4. a gap between 2nd and 3rd of 8. 16 for next gap. the gap doubles every time.

so we expect gap between 4th and 5th terms to be 2 X 16 = 32.

35 + 32 = 67. that is the next number in the sequence.

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

9, 10

Step-by-step explanation:

If you enter the square root of 93 on a calculator, the answer is 9.64365076099. This is after 9 but before 10.

Step-by-step explanation:

1/4 divided by 4 = 1/4 x 1/4 = 1/16

8 divided by 1/3=8 x 3 = 24

Step-by-step explanation:

1/4 divided by 4 = 1/4 x 1/4 = 1/16

8 divided by 1/3=8 x 3 = 24

The solution of the equation ( x - 7 ) × 2 = 36  is x = 25

The equation is

( x - 7 ) × 2 = 36

To solve this equation we have to rearrange the terms and do the arithmetic operations

The arithmetic operation is a branch of mathematics. The basic arithmetic operations are addition, subtraction, division and multiplication.

Move the 2 to the right hand side of the equation

x - 7 = 36 / 2

Divide the term

x - 7 = 18

Move the 7 to the right hand side of the equation

x = 18 + 7

Add the term

x = 25

Hence, the solution of the equation ( x - 7 ) × 2 = 36  is x = 25

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Answer: No Solutions

Step-by-step explanation:

8w + 5= 4 (2 w+1)=

8w+5=(4)(2w)+(4)(1)

8w+5=8w+4

    -8w      -8w

5=4

-5  -5

0=-1

Which means there are No Solutions.

Answer:

8w+5=4(2w+1)

8w+5=8w+4

collect like terms

8w-8w = 4-5

0=-1

there is no solution

The point of intersection between the given plane and the line perpendicular to the plane and passing through (8, 4, 3) is (-4, -14, 9).

To find the point of intersection between a plane and a line, we need to know the equation of the plane and the equation of the line.

Given:

Plane equation: ax + by + cz = d

Line equation: P = P₀ + tV

To find the point of intersection, we can substitute the line equation into the plane equation and solve for the parameter 't'.

Let's assume the plane equation is:

2x + 3y - z = 4

And the line equation passing through (8, 4, 3) and perpendicular to the plane can be represented as:

P = (8, 4, 3) + tV

First, we need to find the normal vector of the plane. From the coefficients of x, y, and z in the plane equation, we can determine the normal vector as (2, 3, -1).

Since the line is perpendicular to the plane, the direction vector 'V' of the line will be the same as the normal vector of the plane. Therefore, V = (2, 3, -1).

Substituting the values into the plane equation:

2(8) + 3(4) - 1(3) + t(2) + t(3) + t(-1) = 4

Simplifying the equation:

16 + 12 - 3 + 2t + 3t - t = 4

28 + 4t = 4

4t = -24

t = -6

Now, substitute the value of 't' back into the line equation to find the point of intersection:

P = (8, 4, 3) + (-6)(2, 3, -1)

P = (8, 4, 3) + (-12, -18, 6)

P = (-4, -14, 9)

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Answer:

  C.  51 -10√2

Step-by-step explanation:

You want the square of 5√2 -1.

The square of 5√2 -1 can be found using the distributive property.

  \((5\sqrt{2}-1)^2=(5\sqrt{2}-1)(5\sqrt{2}-1)\\\\=5\sqrt{2}(5\sqrt{2}-1) -1(5\sqrt{2}-1)\\\\=(5\sqrt{2})(5\sqrt{2}) -5\sqrt{2}-5\sqrt{2}+1\\\\=25(\sqrt{2})^2-10\sqrt{2}+1\\\\=25\cdot2+1-10\sqrt{2}=\boxed{51-10\sqrt{2}}\)

Answer:

3/10 and 0.30

Answer:

Step-by-step explanation:

30%=30/100 dividing both sides by 10

3/10 as a fraction and

0.3 as a decimal

Answer:

x = 27

Step-by-step explanation:

11x - 45 = 36 + 8x

Subtract 8x from both sides.

3x - 45 = 36

Add 45 to both sides.

3x = 81

Divide both sides by 3.

x = 27

Answer:

Step-by-step explanation:

The x intercept is the value of x when y = 0.  Use the equation to find the value of x:

y= -1x + 3

0 = -1x + 3

x = 3

The point is (3,0)

You can also graph it.  Attached.

The volume of the cone is 619.1 metres cube.

The volume of the cone can be found as follows:

The height of the cone is 14 metres and the radius of the cone is 6.5 metres.

Therefore,

volume of a cone = 1 / 3 πr²h

where

Hence,

r = 6.5 metres

h = 14 metres

volume of the cone = 1 / 3 × 3.14 × 6.5² × 14

volume of the cone = 1857.31 / 3

volume of the cone = 619.103333333

volume of the cone = 619.1 metres cube

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Answer: 51.4

Step-by-step explanation:

Rule:

The sum of all the exterier angles of any shape is 360

Heptagon has 7 sides

Solution:

sides = 360/7 =  51.4

the probability that a positive integer less than 100 picked at random has all distinct digits is 90.

He has 99 positive integers less than 100.

The integers that do not have all distinct digits have the same digit twice.

11, 22, 33, 44, 55, 66, 77, 88, 99

There are 9 integers that do not have distinct digits, therefore there are 99-9 integers that do.

Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.

A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final results of an experiment. Getting a Heads whilst tossing a coin is an event.

Simple probability is the calculation of an outcome or the chance of an event ever taking place. coverage companies use possibility statistics to determine the possibilities of having to pay out a declare. A simple chance is calculated by way of dividing a particular outcome through all of the feasible outcomes.

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The value of x when y = 1 is 2.

Option D is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

x varies inversely with y.

This means,

x ∝ 1/y

x = k/y

And,

xy = 2

This means,

k = 2

Now,

For y = 1,

xy = 2

x = 2/y

x = 2/1

x = 2

Thus,

x is 2 when y = 1

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Answer:

Please find attached the required inverse of a function chart

Step-by-step explanation:

The inverse of a function is found by reversing the operations of the  function

The inverse of the function f(x) = 2·x - 4 is found as follows;

x = 2·x - 4

x + 4 = 2·x

x = (x + 4)/2 = x/2 + 2

Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2

The inverse function is plotted by generating data points as follows;

\({}\)x         \({}\)          f(x)

0                2

1                  2.5

2                 3

3                  3.5

4                   4

5                   4.5

6                   5

7                   5.5

8                   6

9                   6.5

10                  7

11 \({}\)                   7.5

12\({}\)                    8

13                 8.5

14                  9

15                  9.5

16               10

Answer:

I got 9

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

2x + 6 =

Simplifying

2x + 6 = 0

Reorder the terms:

6 + 2x = 0

Solving

6 + 2x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + 2x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + 2x = 0 + -6

2x = 0 + -6

Combine like terms: 0 + -6 = -6

2x = -6

Divide each side by '2'.

x = -3

Simplifying

x = -3

Answer: 3

Step-by-step explanation:

Because if you look on the graph and count up to 80 the inequality says greater than and therefore 3 dots are greater than 80.

Answer:

Step-by-step explanation:

The answer is 3. Please see picture attached below.

Answer:

X = 5

Step-by-step explanation:

So what the equation is saying is that f(x) = g(x) so these equations are equal

The equation will look like this

125 + 15x = 12x + 140

I first began with subtracting the 12x from the 15x which will give you 3x

125 + 3x = 140

now we subtract 125 to 140 and you'll get 15

140-125 = 15 now divide by 3 leaving the x solo

15/3 = 5 so x is 5

hope that helps

Sarah's company started out with a $350 value and is currently changing at a rate of $100 annually.

The annual fee is expressed as an equation in slope-intercept form:

y = 100x + 350.

y = mx + b, where m is the line's slope and b is its y-intercept, is the formula for a straight line.

Given details:

The table displays the prices that Sarah charged each client during the course of her business's first two years:

Year                            Annual Dog-walking Fee

2010                            $350

2014                            $750

A.

Sarah has so increased the cost by $400 over the past four years.

For Sarah's company, its rate of change called slope will be,

m = 750 - 350 / 4

m = 100

Therefore, Sarah is raising the cost by $100 yearly.

Due to the payment she received for the first year, the calculated values of a business is $350.

B. Define x as the period of time that has passed since she began her business in 2010.

Consequently, the annual fee equation can be expressed in slope-intercept form as,

y = mx + c

where y stands for the cost she must pay after x years.

Her company's baseline value is therefore $350, and its rate of change is $100 annually.

The annual fee is expressed as an equation in slope-intercept form.: y = 100x + 350.

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Therefore, the combined rate , It will take both pipes together to fill the tank 12 minutes to fill the tank.

To determine the time it takes for both pipes to fill the tank, we can use the concept of rates. Let's denote the rate at which the first pipe fills the tank as R1 (in tanks per minute) and the rate at which the second pipe fills the tank as R2 (in tanks per minute).

We are given that the first pipe can fill the tank in 20 minutes, which means its rate is 1/20 tanks per minute (since it fills 1 tank in 20 minutes). Similarly, the second pipe fills the tank in 30 minutes, so its rate is 1/30 tanks per minute.

When the two pipes work together, their rates add up. Therefore, the combined rate of both pipes is R1 + R2 = 1/20 + 1/30 = 3/60 + 2/60 = 5/60 tanks per minute.

To find the time it takes for both pipes to fill the tank, we can invert their combined rate: 1 / (5/60) = 60/5 = 12 minutes.

Therefore, it will take both pipes together 12 minutes to fill the tank.

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Answer:

2 dolars for 1 pound

or

1 dolar for 0.5 pounds

Step-by-step explanation:

hope this helps:P

60.8 is less than 70 or 80, we can eliminate answer choices (c) and (d) as possible answers.

To solve this problem, we need to use the formula for standard deviation:
z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

In this case, we know that the mean score is 82, and your exam score is 2.12 standard deviations below the mean. So we can set up the equation:
z = (x - 82) / σ = -2.12

Now we need to find the possible values of x (your exam score) that satisfy this equation. We can rearrange the equation to solve for x:
x = z * σ + μ

Plugging in the values we know, we get:
x = -2.12 * σ + 82

We don't know the value of σ, so we can't solve for x exactly. But we can use some logic to eliminate some of the answer choices.

Since your exam score is below the mean, we know that x < 82. That means we can eliminate answer choices (a) and (b), since they are both above 82.

To eliminate answer choices (c) or (d), we need to know whether 2.12 standard deviations below the mean is less than or greater than the value of σ.

If σ is relatively small, then a score that is 2.12 standard deviations below the mean will be much lower than 70 or 80. But if σ is relatively large, then a score that is 2.12 standard deviations below the mean could be closer to 70 or 80.

Unfortunately, we don't know the value of σ, so we can't say for sure whether (c) or (d) is a possible answer. However, we can make an educated guess based on the range of possible values for σ.

Since the standard deviation of exam scores is typically in the range of 10-20 points, we can assume that σ is at least 10.

With that assumption, we can calculate the minimum possible value of x:
x = -2.12 * 10 + 82 = 60.8

Since 60.8 is less than 70 or 80, we can eliminate answer choices (c) and (d) as possible answers.

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When the F-Statistic is large, the corresponding P-value will be small. The correct option is D.

The F-Statistic is a measure of the ratio of two variances or mean squares. In statistical hypothesis testing, it is used to assess whether there is a significant difference between the means of multiple groups or treatments. The F-Statistic follows an F-distribution, and the corresponding P-value is used to determine the statistical significance of the observed F-Statistic.

When the F-Statistic is large, it means that the observed difference between the groups or treatments is relatively large compared to the expected variation within the groups. In this case, the P-value associated with the F-Statistic will be small, indicating strong evidence against the null hypothesis. This suggests that there is a significant difference between the groups or treatments being compared.

On the other hand, when the F-Statistic is small, it means that the observed difference is relatively small compared to the expected variation within the groups. In this case, the P-value associated with the F-Statistic will be large, indicating weak evidence against the null hypothesis and suggesting that there is no significant difference between the groups or treatments.

Therefore, the correct answer is D: when the F-Statistic is large, the corresponding P-value will be small.

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Complete question :

Tony worked 4 2/3 hours on his science project. Sonia worked 1 1/4 times as long on her science project as Tony did. For how many hours did Sonia work on her science project?

Answer:

5 5/6 hours

Step-by-step explanation:

Given that :

Hours worked by Tony = 4 2/3

Hours worked by Sonia = 1 1/4 times as long as Tony

Hence, hours worked by Sonia = 1 1/4 * 4 2/3

5/4 * 14/3

= 70 / 12

= 5 10/12

= 5 5/6 hours

On solving the provided question, we can say that the expression is 2x(x + 1)/3x² + 5x + 2 answer = ( x+4)

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

the expression is

2x(x + 1)/3x² + 5x + 2

answer = ( x+4)

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