A scientist who studies sleep has developed a new technique to help people sleep each night. He
is conducting a study of 100 people and wants to determine if there is a significant difference in
people's amount of sleep before using the technique compared to after using the technique.
Which of the following describes the scientist's null and alternative hypotheses?
O null hypothesis: Hp = 0; alternative hypothesis: 4p=0
Onull hypothesis: 4y= 0; alternative hypothesis: 4p = 0
O null hypothesis: 44- = 0; alternative hypothesis: 4-430
O null hypothesis: 4-4370; alternative hypothesis: 4-12 = 0

Answer:

(x-2)^2/4 - (y+1)^2/16 = 1

Step-by-step explanation:

The first thing you want to do is find the center of the hyperbola. Since you have the two equations of the asymptotes, their intersection must be what you want. setting 2x - 5 equal to -2x + 3, you get that x = 2, meaning that 2 is the x-coord of your center. Plugging this value of x into the equations, you get that y = -1. Now that you have your center, you have the information that one of the vertices is on the y-axis. Since the distance from the center to the vertice must be a straight line, you know for sure that this hyperbola is a horizontal one (a vertical one would not have a vertice on the y-axis given this center). Knowing this, you have the equation form (x-2)^2/a^2 - (y+1)^2/b^2 = 1. I got a little confused here, but remember that you now know the center and the equations of the asymptotes. y = 2x - 5 is equal to 2(x - 2) - 1. The form of the asymptotes of a horizontal hyperbola is b/a(x-h) + k, which means that b/a must be equal to 2. This also means that 2a = b, and 4a^2 = b^2. Now you can substitute b^2 for 4a^2, leaving you with the equation (x-2)^2/a^2 - (y+1)^2/ 4a^2 = 1. Remember that vertice on the y-axis? Since it must be at the same y-coordinate (since you know that it must be a horizontal line from the center to the vertice), you know the vertice has to be (0, -1). You can plug these values into the previous equation, which gives you (0 - 2)^2 / a^2 - 0 = 1. This leaves you with 4/a^2 = 1, which means that a must be 2. Since you already know that b is 2a, b must be equal to 4. Plugging those values into the equation, you get your final answer, (x-2)^2/4 - (y+1)^2/16 = 1.

Answer:

256

Step-by-step explanation:

You multiply -2 an even amount of time which gives you a positive answer, if you were to multiply them an odd amount of times then it would be a negative number.

Answer:

The other guy is correct it is d Haley misinterpreted and got the wrong sign

Step-by-step explanation:

Answers:

Slope = -3

y intercept = -2

Explanation:

Compare the given equation with y = mx+b

We see that m = -3 is the slope and b = -2 is the y intercept.

[tex]===========================================[/tex]

we're given the line's equation; it's written in slope-intercept form, which looks like so:

[tex]\pmb{y=mx+b}[/tex]

where

[tex]\pmb{m}[/tex] is the line's slope

[tex]\pmb{b}[/tex] is the y-intercept of the line

in this case,

slope: [tex]\pmb{-3}[/tex]

y-intercept: [tex]\pmb{-2}[/tex]

[tex]=====================================[/tex]

Hope everything is clear; if you need any more explanation, kindly let me know.

Answer:

i wrote how to below!

Step-by-step explanation:

okay since the y intercept is 2, put a dot on the point (0, 2)

now for the next one just substitute an easy value like 1 to the equation

y = 3/4(4) + 2

the 4 will cancel out the denominator then...

y = 3 + 2

y = 5

now put a point on (4, 5)

Answer:

answer in explanation

Step-by-step explanation:

(0,2)

(1,2.75)

(2,3.5)

(3,4.25)

(4,5)

Answer:

Rs 800

Step-by-step explanation:

VAT%=15%

Total price =Rs920

Consider price without VAT as Rs x.

Then,

Total price =x+15%of x

or,920=23x/20

or, 23x=920*20

or, x=18400/23

Therefore, x=Rs 800

Answer: 5y + 2x - 3

(In simplest form)

Answer:

X = 2

Step-by-step explanation:

Answer:

20.758

Step-by-step explanation:

8.74 + 7.086 + 4.932

Answer:

12x-13y

Step-by-step explanation:

6x+3y+4x-16y+2x

combine like terms

12x-13y

Answer:

Step-by-step explanation:

A'=25.4469 square inches Explanation:diameter is 18shape is circularArea of full pizza is A= ×1824Number of slices is 10 equalArea of each slice is A'=110AA'=110×π×1824A'=25.4469 square inches

I think it's decreasing

The correct statements that express ratio are;

b. For every 7 kids there need to be 3 pizzas.

c. The ratio of kids to pizzas is 7:3.

Here,

Diego estimates that there will need to be 3 pizzas for every 7 kids at his party.

We have to find the all statements that express this ratio.

What is Ratio?

A ratio indicates how many times one number contains another.

Now,

There are 3 pizzas.

Number of kids = 7

Hence, The ratio of pizzas to kids = 3 : 7 ( it can be read as 3 is to 7 )

And, For every 7 kids there need to be 3 pizzas.

The ratio of kids to pizzas = 7 : 3 ( it can be read as 7 is to 3 )

Therefore, The correct statements that express ratio are;

b. For every 7 kids there need to be 3 pizzas.

c. The ratio of kids to pizzas is 7:3.

Learn more about the ratio visit:

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Step-by-step explanation:

to do what ?

the calculation of the 2 solutions for the quadratic equation is already done here.

so, what else do you need ? an explanation ?

in general, a quadratic equation looks like

ax² + bx + c = 0

and the formula for the solutions is

x = (-b ± sqrt(b² - 4ac))/(2a)

remember, a linear equation (x¹) has one zero solution.

a quadratic equation (x²) has 2 zero solutions.

a cubic equation (x³) has 3 zero solutions.

and so forth.

the 2 solutions here are created by the "±" operation. one solution is using the "+". and the other the "-". that is all.

so, what happened here was simply putting the values of the given equation into the solution formula and doing the calculations.

and the final line is saying that the solutions are the set of the 2 numbers represented by the "±" expression.

to finish this up for better clarity :

the first solution is

x = (-17 + sqrt(217))/4 = -0.567270034...

the second solution is

x = (-17 - sqrt(217))/4 = -7.932729966...

is there anything still unclear ? please let me know.

Answer: x=8

Step-by-step explanation: these two polygons are similar. 96 divided by 8 equals 12. So 64 divided by 8 equals 8, which is the answer. I really hope this helps and I hope you have a great day!

Answer:

1 task = 6.25 minutes

The robot can complete 9.6 task in 1 hour

Step-by-step explanation:

Number of task = 8

Time taken = 5/6 of 1 hour

5/8 of 1 hour = 5/6 × 60 minutes

= 300/6

= 50 minutes

8 task takes 50 minutes

1 task = 50 minutes / 8 task

= 6.25 minutes

1 task = 6.25 minutes

x task = 60 minutes

1 : 6.25 = x : 60

1/6.25 = x / 60

1*60 = 6.25*x

60 = 6.25x

x = 60/6.25

= 9.6

x= 9.6

The robot can complete 9.6 task in 1 hour

Answer:

0.50 goes right in the middle between 0 and 1 and 0.85 goes 1/5 away from 1

Step-by-step explanation:

Answer:

28%

Step-by-step explanation:

50 x 0.28 is 14

Answer:

40°

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral are equal

3x + 10 = 2x + 20

Take away 2x from both sides

x + 10 = 20

Take away 10 from both sides

x = 10

Now that we know the value of x, substitute it back into the equations

3x + 10 = 3 x 10 + 10 = 30 + 10 = 40

2x + 20 = 2 x 10 + 20 = 20 + 20 = 40

Both angles are equal to 40°

Step-by-step explanation:

[tex] \red{\frak{Given}} \begin{cases} & \sf {We\ are\ given\ a\ cyclic\ quadrilateral.} \\ & \sf {The\ measures\ of\ the\ opposite\ angles\ of\ the\ quadrilateral\ are\ {\pmb{\sf{(3x\ +\ 10)^{\circ}}}}\ and\ {\pmb{\sf{(2x\ +\ 20)^{\circ}}}}.} \end{cases}[/tex]

We know that,

In a cyclic quadrilateral, all the four vertices of the quadrilateral lie on the circumference of the circle. The opposite angles in a cyclic quadrilateral add up to 180°. So simply, we just simplify the measures and find the value of x. And at last, we'll find the angles of the quadrilateral.

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {(3x\ +\ 10)\ +\ (2x\ +\ 20)\ =\ 180} \\ \\ \\ \sf \dashrightarrow {3x\ +\ 10\ +\ 2x\ +\ 20\ =\ 180} \\ \\ \\ \sf \dashrightarrow {5x\ +\ 30\ =\ 180} \\ \\ \\ \sf \dashrightarrow {5x\ =\ 180\ -\ 30} \\ \\ \\ \sf \dashrightarrow {5x\ =\ 150} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{150}}{\cancel{5}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 30.}}}}_{\sf \blue{\tiny{Value\ of\ x}}}} [/tex]

∴ Hence, the required value of x is 30. Now, let us find out the angles.

[tex]\rule{200}{3}[/tex]

First AnglE :

∴ Hence, the measure of the first angle of the quadrilateral is 100°.

[tex]\rule{200}{3}[/tex]

Second AnglE :

∴ Hence, the measure of the second angle of the quadrilateral is 80°.

Answer:

8% or 74

Step-by-step explanation:

930 x 0.92 = 856

930 - 856 = 74

Have a great day!!

Please rate and mark brainliest!!

In a survey of 930 students in a school, 92% reported having pets at home then margin of error is 3.3%.

percentage, a relative value indicating hundredth parts of any quantity.

In a survey of 930 students in a school.

92% reported having pets at home.

We need to find the margin of error.

The formula for margin of error=±1/√n

Where n is number of students

margin of error=±1/√930

=±1/√930

=±1/30.45

=±0.033

Now let us multiply with hundred.

=3.3%

Hence, In a survey of 930 students in a school, 92% reported having pets at home then margin of error is 3.3%.

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Answer:

Hi po the answer is ab

Step-by-step explanation:

hope it help

Answer:

hope its help

Step-by-step explanation:

Answer:

9w2x.

Step-by-step explanation:

8w2x + w2x

= 9w2x.

Answer:-13.64

Step-by-step explanation:

Answer:

6a+11

Step-by-step explanation:

First you do 5 times 4 which is 20. Next you want to subtract 20 and 9 and you get 11. Lastly you want to rearrange the terms so you get the solution of 6a+11

Answer:

100 i think

Step-by-step explanation:

let the number be x

48% = 0.48

0.48x = 48

48 / 0.48 = x

x = 100

Answer:

c

Step-by-step explanation:

i got i wrong with b and d and it showed me the right aswer