Rewrite the linear equation 4x+3y=6 to in slope-intercept form

If the test statistic is higher than 1.645, reject H0. If the test statistic is higher than 2.33, reject H0.

Conjectures used in statistical tests, which are formal techniques for drawing conclusions or making judgments based on data, include the null hypothesis and the alternative hypothesis.

The hypotheses, which are based on a sample of the population, are suppositions regarding a statistical model of the population.

The tests are essential components of statistical inference and are frequently used to distinguish between statistical noise and scientific claims when interpreting experimental data in science.

"The null hypothesis is the proposition under investigation in a statistical significance test.

The significance test is intended to determine how strong the evidence is against the null hypothesis. The null hypothesis is typically a claim that there is "no effect" or "no difference.

H0 is a common way to represent it.

Hence, If the test statistic is higher than 1.645, reject H0. If the test statistic is higher than 2.33, reject H0.

learn more about null hypothesis click here:

https://brainly.com/question/13776238

#SPJ1

Answer:

the value of x is 7

Step-by-step explanation:

The computation of the value of the x is given below:

Given that

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

2x = 3y + 2.................(2)

Put the equation 1 in equation 2

i.e.

2(2y - 1) = 3y + 2

4y - 2 = 3y + 2

y = 4

So,

x = 8 - 1

= 7

Hence, the value of x is 7

Answer:

(x+1)(x+2)

Step-by-step explanation:

Answer:

(x-1)(x-2)

Explanation:

To factor x^2-3x+2 as (x+a)(x+b) we need to find number a and b such that a+b=-3 ab=2

Summary of above: (−1)+(−2)=−3

So the integers we are looking for are

−1 and −2

Therefore, x^2-3x+2=(x-1)(x-2)

Answer:

GCF: 50

Step-by-step explanation:

Let's test

50 ( 5 + 6)

= 250 + 300

So, my answer is correct!

Answer:

hdhdhdhdhd

Step-by-step explanation:

hhffhffjfj

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

Explanation:

a) F'(a)

From what we have:

b) G'(a)

The unknown angle measures are d = 76, c = 53, a = 51 and b = 76

From the question, we have the following parameters that can be used in our computation:

The lines

The sum of angles on a line is 180

So, we have

b = 180 - 51 - 53

b = 76

By vertical angle theorems, we have

d = 76

c = 53

a = 51

Read more about angles at

https://brainly.com/question/31898235

#SPJ1

If m = -5 or m = 3, the system of linear equations has no solution.

To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:

| 3 m |

| m+2 5 |

The determinant is

=  (3 x 5) - (m x (m+2))

= 15 - m^2 - 2m

= -(m^2 + 2m - 15)

= -(m+5)(m-3)

So, for the system to have no solution, the determinant must be zero, so we have:

-(m+5)(m-3) = 0

This gives us two values of m: m = -5 and m = 3.

Thus, if m = -5 or m = 3, the system of linear equations has no solution.

Learn more about Matrix here:
https://brainly.com/question/29132693

#SPJ1

Answer:

slope = -3/4

using the formula

y -y1 = m(x -x1)

y -1 = -3/4(x -(-8))

y -1 = -3/4(x +8)

cross multiply

4(y -1) = -3(x +8)

4y -4 = -3x -24

4y = -3x -24 +4

4y = -3x -20

divide both sides by 4

y = -3/4 x -5 (equation of the line)

Answer: T = z - 3

Step-by-step explanation: "T" represents the total amount of money he has left, so T = z [Whatever amount he had to begin with] - 3 [The amount he lost]. Hope that this helps!

Another way to show this equation is with the slope-intercept for of y = x -3

Answer:

P(A) = 0.5

Step-by-step explanation:

Look from the tree root (left) and find A.  

When you reach the first branch that shows A, the probability is on it's left, so

P(A) = 0.5

The probability that 2 or fewer in the sample will favor the project is  4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%

According to the question,

It is given that according to the student's government

The probability that number of students in favor of increment in fees : p = 0.70

The probability that number of students against the increment : q = 0.30

Sample Size : n = 12

Number of students follows Binomial distribution

(a) We have to find the probability that 2 or fewer in the sample will favor the project

P( x ≤ 2) = P(0) + P(1) + P(2)

As we know ,

P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰

=>  P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹  + 12×11/2 × (0.70)²(0.30)¹⁰

=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]

=>  P( x ≤ 2) = 5.9×10⁻⁶[0.78]

=>  P( x ≤ 2) = 4.368 × 10⁻⁶

Which is very close to zero

(b) The data doesn't support the student government claim.

The data seem to indicate that the percent favoring the increase in fees is less than 70%.

To know more about Binomial distribution here

https://brainly.com/question/29137961

#SPJ4

Considering the definition of an inequality, the inequality that can be used to determine x is 20x + 10≤ 80

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

A rental car company charges $20 per day to rent a car and $0.10 for every mile driven.

Addison wants to rent a car, knowing that:

On the other hand, x represents the maximum number of days Alyssa can afford to rent for while staying within her budget.

Then, the inequality that can be used to determine x is:

20x + 0.1×100≤ 80

So:

20x + 10≤ 80

In summary, the inequality that can be used to determine x is 20x + 10≤ 80

Learn more about inequalities:

https://brainly.com/question/17578702

https://brainly.com/question/23684288

#SPJ1

The resulting speed of the sailboat is 28.4 mph.

The direction of the boat is 80⁰.

The resulting speed of the sailboat is calculated by applying Pythagoras theorem as follows;

Vr = √(Vy² + Vx² )

where;

Vr = √(Vy² + Vx² )

Vx = 23 mph cos (90) + 7 mph cos(45)

Vx = 0 + 4.95 mph

Vy = 23 mph sin (90) + 7 mph sin(45)

Vy = 23 mph + 4.95 mph = 27.95 mph

The resultant speed of the sailboat is calculated as follows;

Vr = √ (27.95² + 4.95² )

Vr = 28.4 mph

The direction of the boat is calculated as follows;

θ = arc tan (Vy/Vx)

θ = arc tan ( 27.95 / 4.95 )

θ =  80⁰

Learn more about resultant speed here: https://brainly.com/question/24767211

#SPJ1

Answer:

uhm smhtn

Step-by-step explanation:

i really just want points.

Answer:

(0,infinity)

Step-by-step explanation:

.

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

\(y=-4x^2-x+3\)

\(y=-4(0)^2-(0)+3\)

Order of operations requires exponents before multiplication, or addition & subtraction...

\(y=-4(0)-(0)+3\)

multiplication...

\(y=0-0+3\)

addition & subtraction, from left to right...

\(y=3\)

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

for such more question on temperature

https://brainly.com/question/14820864

#SPJ8

Step-by-step explanation:

you want to

come on

zoom

with

me

As shown in the diagram :

lines a and b are parallel and lines c and d are transversal that cut through lines a and b.

So, there are 3 types of angles that are congruent to the angle V

1) The vertex angles are congruent

So, the angle S is congruent to angle V

2) the angle Z is congruent to the angle V

They are corresponding angles

3) The angle W is congruent to the angle V

They are alternatives angles

Answer:

8 3/7

Step-by-step explanation:

divide 60 by 7 and it goes 8 times with 3 leftover

Answer:

Option B

Step-by-step explanation:

Given the following question:

9 is 10 times the value
29,461 ⇒ thousands place
\(100\times10=1000\)

Your answer is option B or "53,982". Since the nine is in the hundred's place, and one-hundred times ten, is equal to a thousand.

\(900\times10=9000\)

Hope this helps.

The value of the digit 9 in the number 29,461 that is 10 times the value of the digit 9 is; B: 53,982

We are given the number 29461.

In the given number;

1 is units

6 is tens

4 is hundred

9 is thousands

2 is ten thousands

This means any number that will has to be multiplied by 10 to give the 9000 above will have to be hundreds.

From the given options, only 53982 contains 9 in the hundreds position and so is correct.

Read more about Digits at; https://brainly.com/question/26856218

The child is paying out cord at a rate of s(ds/dt)) /√(s²-h²) feet per second when "s" feet of cord are out.

A differential equation is an equation that contains one or more functions with its derivatives.

The distance between the kite and the child's hand level "d".

By using the Pythagorean theorem, we can write:

d² + h² = s²

Simplifying and solving for d, we get:

d² = s²-h²

d = √(s²-h² )

Let's call the length of the cord "L". Then, we can write:

d² + L² = s²

Differentiating both sides with respect to time (t), we get:

2d (dd/dt) + 2L (dL/dt) = 2s (ds/dt)

We want to find (dL/dt) when L = s and d = √(s²-h² )

(dd/dt) = 0 as the height of the kite above the child's hand level is constant.

(dL/dt) = (s(ds/dt) - d (dd/dt)) / L

Substituting in the values we found for d and L, we get:

(dL/dt) = s(ds/dt)) / √(s²-h² )

Therefore, the child is paying out cord at a rate of s(ds/dt)) /√(s²-h²) feet per second when "s" feet of cord are out.

To learn more on Differentiation click:

https://brainly.com/question/24898810

#SPJ1

Answer:

g(h(x))

Step-by-step explanation:

g(h(x))=

\((5 \div 3)( (- 12) {x}^{2} - 6x) + 1 = \\ (5 \times( - 12) {x}^{2} ) \div 3 - (5 \times 6x) \div 3 + 1 = \\ (5 \times (- 4) {x}^{2} ) -( 5 \times 3x) + 1 = \\ - 20 {x}^{2} - 15x + 1\)

Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation:

Answer:

The correct option is (C).

Step-by-step explanation:

Missing information:

According to a university of wildlife ecology and conservation researcher, the average level of mercury uptake in wading birds in a region has declined over the past several years. Five years ago, the average level was 16 parts per million. Give the null and alternative hypotheses for testing whether the average level today is less than 16 ppm.

The hypothesis can be defined as follows:

H₀: The average level of mercury uptake in wading birds in a region is 16 ppm, i.e. μ = 16.

Hₐ: The average level of mercury uptake in wading birds in a region is less than 16 ppm, i.e. μ < 16.

A Type I error is the rejection of a null hypothesis (H₀) when indeed the null hypothesis is true. It is symbolized by α.

In this case the type I error can be defined as:

Concluding that the average level of mercury uptake in wading birds in a region today is less than 16 parts per​ million, when in​ fact, the average level of mercury uptake in wading birds in a region today is equal to 16 parts per million.

The correct option is (C).

Answer: 2

Step-by-step explanation: (I'm not sure if you meant 80/4 - 2*(2+1)^2 but I will solve that one just in case)
80/4 = 20
(2+1)^2 = 3*3 = 9
2*9 = 18
20 - 18 = 2

The simplified value of  the expression 80/4 - 2*(2+1)² is: 2.

Here, we have,

given that,

the expression is:

80 divided by 4 minus 2(2+1)2squared

we get, we have to simplify this

now, we have,

80/4 - 2*(2+1)²

as, we know,

80/4 = 20

and, we have,

(2+1)²

= 3×3

= 9

so, we get,

2×9 = 18

so, we have,

20 - 18 = 2

To learn more on Expression click:

brainly.com/question/14083225

#SPJ6

Answer:

a) {(3,3),(3,4),(4,5),(4,6)}

Step-by-step explanation:

Given

(a) to (d)

Required

Which is not a function

A relation is represented as:

\(\{(x_1,y_1),(x_1,y_1),(x_2,y_2),...............(x_0,y_0)\}\)

For the relation t be a relation, then:

\(x_i \ne x_j\)where \(i \ne j\)

This means that none of the x values must be related.

The first relation has 3 repeated as its value of . Hence, (a) is a relation

Answer:

1113

Step-by-step explanation:

628ft+485ft=1113ft

Answer:

$43

Step-by-step explanation:

Multiply 1.75 and 8 which equals 14

2.00 times 13 is 26

.25 times 12 is 3

Add 'em all up and you get $43(before dividing them up in thirds)

If you divide them by 3 each third is 14.33 repeating.