what is the slope of the line that passes through the points (-6,1) and (-6,-4)? write your answer in the simplest form. ​

Answer:

C-17 I think my bad

Step-by-step explanation:

Answer:

we have:

10*(9x-1+10)=9(9+11)

10(9x+9)=9*20

9(x+1)=9*20/10

x+1=18/9

x+1=2

x=2-1

x=1

Now

RS:9×1-1=8

The correct statement regarding the 95% confidence interval is given as follows:

The interval is from 57. 2% to 63. 2%. Since the value of 63% lies in the interval, Davenport's claimed acceptance rate seems accurate.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The parameters for this problem are given as follows:

\(n = 1000, \pi = \frac{602}{1000} = 0.602\)

The lower bound of the interval is given as follows:

0.602 - 1.96 x sqrt(0.602 x 0.398/1000) = 0.572 = 57.2%.

The upper bound of the interval is given as follows:

0.602 + 1.96 x sqrt(0.602 x 0.398/1000) = 0.632 = 63.2%.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

9514 1404 393

Answer:

  7371 years

Step-by-step explanation:

The half-life of Carbon-14 is reportedly about 5730 years. Then the exponential decay equation can be written as ...

  f = (1/2)^(t/5730)

where f is the fraction remaining after t years.

Taking logarithms and solving for t, we find ...

  log(f) = (t/5730)log(1/2)

  t = 5730·log(f)/log(1/2)

For the fraction f = 0.41, the age is approximately ...

  t = 5730·log(0.41)/log(1/2) ≈ 5730·1.286304 ≈ 7371 . . . years

The age of the skull could be estimated to be 7371 years.

Answer: 5-tenths= 5/10

Step-by-step explanation:

Given number cube and spinner with the letters A-H. To find the probability of each event, we need to find out the total number of possible outcomes, as well as the number of favorable outcomes .

So, let’s find out each probability.

Probability of rolling a 2, spinning an A:

Here, the number cube has 6 possible outcomes and the spinner has 8 possible outcomes.

Thus, the total number of outcomes is 6 x 8 = 48.There is only one favorable outcome which is to roll a 2 and spin an A.

Therefore, the probability of rolling a 2 and spinning an A is :

P(rolling a 2, spinning an A) = (number of favorable outcomes) / (total number of outcomes)

                                              =1 / 48

Probability of rolling an even number, spinning a vowel:

An even number can either be 2, 4 or 6.

Therefore, the probability of rolling an even number is:

P(rolling an even number) = (number of favorable outcomes) / (total number of outcomes)

                                           = 3 / 6

                                           = 1/2

A spinner with the letters A-H contains five vowels (A, E, I, O, and U) and three consonants (B, C, and D).

Therefore, the probability of spinning a vowel is:

P(spinning a vowel) = (number of favorable outcomes) / (total number of outcomes)

                                 =5 / 8

Now, we need to find the probability of rolling an even number and spinning a vowel.

The only favorable outcome is to roll an even number and spin a vowel.

Therefore, the probability of rolling an even number and spinning a vowel is:

P(rolling an even number, spinning a vowel) = (number of favorable outcomes) / (total number of outcomes)

                                                                          = 3 / 6 x 5 / 8

                                                                          = 5 / 16

Probability of rolling a number less than 3, spinning a consonant:

Numbers less than 3 can either be 1 or 2.

Therefore, the probability of rolling a number less than 3 is:

P(rolling a number less than 3) = (number of favorable outcomes) / (total number of outcomes)

                                                   = 2 / 6

                                                   = 1/3

A spinner with the letters A-H contains three consonants (B, C, and D) and five vowels (A, E, I, O, and U).

Therefore, the probability of spinning a consonant is :

P(spinning a consonant) = (number of favorable outcomes) / (total number of outcomes)

                                         = 3 / 8

Now, we need to find the probability of rolling a number less than 3 and spinning a consonant .

The only favorable outcome is to roll a number less than 3 and spin a consonant.

Therefore, the probability of rolling a number less than 3 and spinning a consonant is:

P(rolling a number less than 3, spinning a consonant) = (number of favorable outcomes) / (total number of outcomes

                                                                                          = 2 / 6 x 3 / 8

                                                                                          = 1 / 8

Therefore, the probabilities of each event are:

P(rolling a 2, spinning an A) = 1 / 48

P(rolling an even number, spinning a vowel) = 5 / 16

P(rolling a number less than 3, spinning a consonant) = 1 / 8

To know more about probability visit:

brainly.com/question/32900629

#SPJ11

Answer:

because he left you and your mom and now you are sad because you have no dad also yer dads j e r k

Step-by-step explanation:

Answer:

he is walking 5000000000000000000000000000% slower than a sloth

Step-by-step explanation:

sloths are slow

Answer:y=-2x+6

Step-by-step explanation:

y=-2x+6

Answer:

y=2x-1

Step-by-step explanation:

y-y sub 1=m(x- xsub1)

y-(-1)=2(x-0)

y+1=2(x-0)

y+1=2x-0

y=2x-1

Answer:

-23

Step-by-step explanation:

the equation of the line is y=-2/3x-23 so the b in the equation (y=mx+b) is the y int so that is -23

Answer:

B

Step-by-step explanation:

there is a 5% probability of rejecting a false null hypothesis and hence c is correct option

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Testing hypotheses is a crucial component of empirical research and evidence-based medicine. A well-developed hypothesis is only half the solution to the research problem. Working understanding of fundamental statistical principles is preferred for this, as well as subject-specific knowledge gleaned through a thorough survey of the literature.

To learn more about probability visit

brainly.com/question/30034780

#SPJ4

The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

To know more about hyperbola visit:

https://brainly.com/question/27799190

#SPJ11

The total area of the football field from goal-line to goal-line would be = 5000 yards².

To calculate the total area of the football field, the formula that should be used would be given below as follows;

Total area = length × width

where length = 100yards

width= 50yards

Total area = 100×50 = 5,000yards²

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

Answer:

I figure you could simplify it by multiplying both sides by 6, resulting in -31+23=-30+18-1+5

-8=-8

Step-by-step explanation:

Katherine will make a profit of $100.

To calculate the profit, we need to calculate the total revenue and the total cost. The total cost includes the cost of growing flowers, and the total revenue includes the amount from selling the flowers as well as the money made from piano lessons.The total cost is given by the sum of the cost of planting seeds and growing flowers.

Cost of planting seeds = $50

Total hours spent in planting seeds = 5

Cost of growing flowers = 0 (because the problem doesn’t state how much it costs to grow flowers)

Total Cost = Cost of planting seeds = $50

The total revenue is given by the sum of the money earned from selling the flowers and the money earned from giving piano lessons.

Money earned from selling flowers = $150

Money earned from piano lessons = 0 (because it is not mentioned in the problem)

Total Revenue = Money earned from selling flowers = $150

Total profit is given by the difference between total revenue and total cost.

Profit = Total Revenue - Total Cost = $150 - $50 = $100

Therefore, A profit of $100 is made by Katherine.

To know more about profit: https://brainly.com/question/1078746

#SPJ11

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(6 = \frac{x + 2}{3} \\ \)

\( \frac{x + 2}{3} = 6 \\ \)

Multiply sides by 3

\(3 \times \frac{x + 2}{3} = 3 \times 6 \\ \)

\(x + 2 = 18\)

Subtract sides 2

\(x + 2 - 2 = 18 - 2\)

\(x = 16\)

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Each bag of potatoes costs $4.66.

Start by subtracting the cost of the cookies from the total amount paid:

$41.50 - $5.18 = $36.32

This is the total amount Caleb spent on potatoes. Since he bought 8 bags of potatoes that each cost the same amount, we can divide $36.32 by 8 to find the cost of one bag:

$36.32 ÷ 8 = $4.66

Therefore, each bag of potatoes costs $4.66.

Learn more about cost

brainly.com/question/30045916

#SPJ11

The orthogonal projection of vector onto the plane \(-2x+x^{2} -x^{3}\) = 0 cannot be determined since exact vector is not known.

To find the orthogonal projection of a vector onto a plane, we can use the formula:

proj_v(P) = P - proj_n(P),

where P is the vector we want to project, proj_v(P) is the projection of P onto the plane, and proj_n(P) is the projection of P onto the plane's normal vector.

In this case, the equation of the plane is\(-2x+x^{2} -x^{3}\) = 0. To find the normal vector, we extract the coefficients of x, x², and x³, which gives us the normal vector n = (-2, 1, -1).

Now, given the vector P, we can find its projection onto the plane by subtracting the projection onto the normal vector:

proj_v(P) = P - proj_n(P).

The projection of P onto the normal vector is given by:

proj_n(P) = (P⋅n) * n / ||n||²,

where P⋅n represents the dot product of P and n, and ||n||² is the squared magnitude of n.

Using these formulas, we can find the orthogonal projection of P onto the plane \(-2x+x^{2} -x^{3}\) = 0.

Learn more about  orthogonal projection here:

https://brainly.com/question/30834408

#SPJ11

The complete question is:

The error is that ( − 2 , 52 ) (-2,52) (−2,52) is not on the graph of f ( x ) = − 13 x 2 f(x)=-13x^2 f(x)=−13x2.

The uncertainty or change of the corresponding coordinate of the point is shown by an error bar, which is a line drawn through a point on a graph that is parallel to one of the axes.

A graph is a visual representation of data that can be used to display values. The specific type of graph used to display values will depend on the type of data being represented and the purpose of the graph and thus some errors can be made.

Read more about graphs here:

https://brainly.com/question/19040584

#SPJ1

The intermediate step in the form (x + a)²  = b is (x + 2)² = 49

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equals sign (=).

To complete the square for the equation 3x² + 26x = 14x + 135, we first move all the constant terms to one side:

3x² + 26x - 14x = 135

Simplifying the left side, we get:

3x² + 12x = 135

Next, we factor out the coefficient of x^2 from the terms involving x:

3(x² + 4x) = 135

To complete the square, we need to add and subtract a constant term inside the parentheses that will make the expression a perfect square trinomial. To determine this constant term, we take half of the coefficient of x (which is 4 in this case) and square it:

(4/2)² = 4

So we add and subtract 4 inside the parentheses:

3(x² + 4x + 4 - 4) = 135

Now, the terms inside the parentheses form a perfect square trinomial, which we can write as (x + 2)²:

3((x + 2)² - 4) = 135

Simplifying, we get:

3(x + 2)² - 12 = 135

Finally, we add 12 to both sides to isolate the perfect square term:

3(x + 2)² = 147

So the intermediate step in the form (x + a)^2 = b is:

(x + 2)² = 49

To know more about equations visit:

brainly.com/question/17499155

#SPJ1

Answer:

  86 ft

Step-by-step explanation:

You want the straight line distance from a location 50 ft from a hotel to a window that has an angle of elevation of 54.5°.

The cosine relation between sides and angles in a right triangle is ...

  Cos = Adjacent/Hypotenuse

The 50 ft distance is adjacent to the angle, and we want to find the hypotenuse. Using this equation, we can solve for the length we want:

  Hypotenuse = Adjacent/Cos

Using the numbers in the problem statement, we find the straight-line distance to be ...

  LW = LH/cos(54.5°) = (50 ft)/0.580703 ≈ 86 ft

The distance between Penny and Lisa is about 86 feet.

__

Additional comment

We don't know what drawing tools you have available. The attached diagram was drawn by locating the window at 50tan(54.5°) up from the base of the hotel. The tool provided the length of LW as 86.1.

We could have use a rotation tool to create the angle of 54.5°, or a line graphing tool to draw the line through (50, 0) with slope tan(-54.5°). Then an intersection tool could have located the window at the point of intersection of that line and the y-axis.

The calculation we did above is about the easiest for determining the distance mathematically (not having the tool measure it).

<95141404393>

He stands 6 feet tall, and his shadow extends 9 feet. if the building's shadow extends for 322.5 feet.

Now 6/9 = X/322.5

9X = 1935

X = 215ft

The Height of the building = 215ft

Consider an object AB of height h such that its shadow of length s is formed and angle of elevation is θ.

The object AB depicts a right triangle in which ∠ABO = 90o.

Now we know that in trigonometry, the tangent ratio for an angle is equal to the opposite side to that angle divided by its adjacent side.

So, for the angle of elevation θ, we have

=> tan θ = AB/OB

Putting AB = h and OB = s, we get

=> tan θ = h/s

=> s/h = 1/tan θ

=> s = h/tan θ

Learn more about Shadow here:

https://brainly.com/question/15021258

#SPJ4

Answer:

The measure is the measure that it is you forgot the picture

Step-by-step explanation:

Answer:

y=x_1 is the solution of system

Answer:

5 ≤ 4x - 2.5

Step-by-step explanation:

Inequalities

The expression "no greater than" can be better expressed as "less or equal than".

The expression 4 times a number, being x the unknown number can be written: 4x

Thus, the equivalent inequality of the sentence is:

5 ≤ 4x - 2.5

The factored form of the given polynomial 9x^(2)y+9x^(2)-9x^(3)y is 9x^(2)(y+1-xy).

We can factor out the greatest common factor from this polynomial by finding the highest power of each variable that is common to all terms.

The greatest common factor of 9x^(2)y, 9x^(2), and 9x^(3)y is 9x^(2). Therefore, we can factor out 9x^(2) from the given polynomial.

\(9x^{2}y+9x^{2}-9x^{3}y = 9x^{2}(y+1-xy)\)

Therefore, the answer is 9x^(2)(y+1-xy).

To know more about polynomials, refer here:

https://brainly.com/question/11536910#
#SPJ11

Answer:

Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):

g(x) = f(2x) = (2x)² = 4x²

Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.Step-by-step explanation:

Answer:

8/4=2

Step-by-step explanation:

4x2=8