Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is µg =0. Compute the value of the t test statistics. Round intermediate
calculations to four decimal places as needed and final answers to three decimal places as needed.
x 9 6 7 5 12
y 6 8 3 6 7
A.t= 2.890
B.t= 1.292
C. t=0.578
D. t=0.415

Answer:

1/3

Step-by-step explanation:

if you're excluding 1 you can only role 3 and 5, which are divisors of 15.  so that is 2 of 6 sides 2/6=1/3

141.6891

hope this is right

,We have the next information

slope=-3

point=(1,-5)=

First, we will use the point-slope form

where m is the slope and (x1,y1) is a point where the line passes through

(x1,y1)=(1, -5)

m=-3

we substitute the values

then in order to obtain the slope-intercept form we isolate the y

the slope-intercept form is

the equation of the line in slope-intercept form is y=-3x-2

Answer:

Step-by-step explanation:

7.18/9 divide 9 and that would equal 2/1 so its 2

8.24/40 divide 8 and that would equal 3/5

9.7/21 divide 7 and that would equal 1/3

10.9/1 stays the same so its 9

Step-by-step explanation:

that is a tiny, tiny backyard ...

what I see immediately is that the area is a combination of multiple simple figures :

1 square on top,

1 smaller rectangle in the middle,

1 larger rectangle at the bottom.

we only need to calculate the areas of all 3 figures and then add then up for the total.

that's it.

the top square is easy :

it is a 3cm×3cm square, so the area is 9 cm²

the bottom rectangle is also easy :

it is a 10cm×3cm rectangle, so the area is 30 cm²

for the dimensions of the middle rectangle we need to think a little bit :

the width (or "height") is clear : 3 cm.

what is the length ?

the answer is given by some other pieces of information in the diagram. look closely : is the length of the middle rectangle not the same as the sum of the side length of the top square (3 cm) and the top side segment left of the top square : 2 cm ?

yes, it is, so the length is 3+2 = 5 cm.

and the middle rectangle is 5×3 = 15 cm².

so, the total area is

9 + 30 + 15 = 54 cm²

this is a backyard for Barbie and Ken ...

Amount of grass in the backyard is 0.641 square yards    

Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.

Area of a square can be found by squaring the length of one of its sides.

Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.

Area of a rectangle can be found by multiplying its length by its breadth.

The given figure is a combination of multiple figures.

∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²

Amount of grass in the backyard = (54 x 0.109² ) square yards

                = 0.641 square yards               ( 1 cm = 0.109 yards)

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Answer:

203

Step-by-step explanation:

Sample size, n = 9

Mean weight, m = 203

Standard deviation = 25

Point estimate for the population mean weight of all black bears that are tagged `

The point estimate of the population mean ;

ΣX / n

Sum of sample / sample size ;

This is the mean value formula for the sample.

However, since it has been given in the question that, sample mean weight value = 203 ; then the point estimate of the population mean weight = 203

Option d: 203 is a point estimate for the population mean weight of all female black bears that are tagged.

Point estimate of population mean weight of female black bears that are tagged.

Point estimation of population mean is calculated by calculating the mean of the sample drawn from that population. This estimate is considered best guess of population mean.

The sample mean is obtained by:

\(\overline{x} = \dfrac{\sum \text{sample observations}}{\text{sample size}}\)

Since it is given that the sample mean is 203, thus we have the point estimate of the population mean as 203 too.

Thus, 203 is a point estimate for the population mean weight of all female black bears that are tagged.

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The size of angle BAC is approximately 19.88 degrees where ABC is a right angle triangle.

A triangle is a polygon with three sides and three angles. It is a simple closed shape, and one of the basic shapes in geometry.

To calculate the size of angle BAC, we can use the trigonometric ratio of the opposite side to the hypotenuse, which is sine:

sin(BAC) = opposite/hypotenuse

sin(BAC) = BC/AC

sin(BAC) = 7.9/23.1

Now, we can use a calculator to find the inverse sine of this value:

BAC = sin^(-1)(7.9/23.1)

BAC ≈ 19.88 degrees

Therefore, the size of angle BAC is approximately 19.88 degrees.

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The complete question is ABC is a right angle triangle BC=7.9, AC=23.1 and right angle at B. Calculate the size of BAC.​

Answer:D

Step-by-step explanation:Multiply x and 3x to get 3x^2 which is the first part, then multiply x and -3 to get -3x then and that to 2 times 3x which get you 3x bc -3x + 6x is 3x, and for the last part, multiply 2 and -3 to get -6 so your answer will be 3x^2+3x-6

Answer:

x=3

Step-by-step explanation:

2 times a number equals 6

you can divide 6 by 2 to get 3

and then to prove it, make x=3 and rewrite

2 * 3 = 6

Answer:

x=3

Step-by-step explanation:

2⋅x=6

First, we multiply the 2 and the x

2x=6

Next, we transfer the 2 over to the 6. When we do that, we are dividing because we do the opposite of multiplication.

x=6÷2

Solve!

x=3

Hope this helps!! Please give Brainliest!!

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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Answer:

0.15

Step-by-step explanation:

I just put the fraction in decimal form since there is no photo.

For the first one:

The angle is tan^-1 (-9/2)

From this, you can find the base of the triangle with height 54 in. Then, you can find the base of the triangle with base 74 in. Then you subtract the base of the triangle with height 54 in from the base of the triangle with height 74 in to get x.

The formula for the nth term of the arithmetic sequence as in the task content is; a(n) = 5 + (n - 1)10.

It follows from the task content that the nth term of the arithmetic sequence in which case, the first term is 5 and the commonwealth difference is 10 is to be determined.

Recall; The nth term of an arithmetic sequence is given by;

a(n) = a(1) + (n - 1)d

where, a(1) = First term = 5.

and, d = Common difference = 10.

Hence, the nth term of the arithmetic sequence can be determined by the formula;

a(n) = 5 + (n - 1)10.

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Answer:

55.25

Step-by-step explanation:

So, all you gotta do is get rid of the decimal, times them both, then add the decimal back into it, and how you do that is you see how many numbers are behind a decimal point in the first place, in this case, it's two (8.5, 6.5) and you got your answer!

Hope this helps! <D

Answer:

-240

Step-by-step explanation:

You want a85.

Work it out step by step:

a85 = 12 + (85 - 1)(-3)

Subtract 1 from 85.

a85 = 12 + 84(-3)

Multiply the numbers in the brackets.

a85 = 12 + -252

Add 12.

a85 = -240

Answer:

26/3 or 8 2/3

Step-by-step explanation:

= 13/5 x 10/3

= 13 x 10

  5  x  3

= 130/5

= 26/3

= 8 2/3

The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.

The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.

The wiper's arm is represented by a line segment and has a length of 14 inches.

The wiper's blade is perpendicular to the arm and has a length of 25 inches.

Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.

As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.

The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.

In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.

Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.

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By translation, the image of the triangle X is equivalent to the triangle E.

Herein we find the representation of a triangle, whose vertices are described below:

A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)

Whose image must be determined by a rigid transformation known as translation:

P'(x, y) = P(x, y) + T(x, y)

Where:

Now we proceed to determine the images of the vertices of the triangle:

A'(x, y) = (5, 5) + (4, - 3)

A'(x, y) = (9, 2)

B'(x, y) = (5, 6) + (4, - 3)

B'(x, y) = (9, 3)

C'(x, y) = (7, 5) + (4, - 3)

C'(x, y) = (11, 2)

Therefore, the triangle E is the image of the triangle X.

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Here's something that might help; Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

Answer:

2/6 (1/3) or -2/6 (-1/3)

Step-by-step explanation:

You would subtract y1 and y2. You would subtract X1 and X2. So you get 2/6 (1/3) OR you could get -2/6 (-1/3). Both answers would be correct! Please mark me brainliest, and have a good day!

Distance = 120 km

Velocity V1 = V2 - 4 km/h

then

120 - X = Y

Time T= 3 hours

T= V1 / (120 - X)

also

T= V2/ (X)

Now solve this 2x2 system

3•(120-X) = V1

3X = V1 + 4

then

360 - 3X = 3X - 4

364/6 = X

60. 6 = X

Now find V2= 3• 364/6= 182 km/h

and

V1= 182-4= 178

Then answer is

rate of ciclist are

V2= 182 km/h

V1 = 178 km/h

The Area of the shaded region is 20.86 in²

The area of a circle is calculated using the formula A = πr², where "A" is the area of the circle.

We know,
Area of Rectangle = l × w,      where l = length and w = width
Area of Circle = \(\pi r^{2}\),                where r = radius.

find the area of the rectangle,
length = 6 in and width = 4 in
Area of Rectangle = 6 × 4 = 24 inch²

Here given the circle radius is 1 inch, and we use π as 3.14

Area of Circle = \(\pi r^{2}\)
Area of Circle = 3.14 × 1² = 3.14 in²  

The area of the shaded region as per figure below is:

Area of the shaded region = Area of Rectangle - Area of Circle

Area of the shaded region = 24 - 3.14 = 20.86 in²

Therefore, the answer is D.  20.86 square inches.

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Answer:

6 pegs can be cut.

Answer:

24

Step-by-step explanation:

!=1

Answer:

3 to 6  3:6  3/6

Answer:

the ratio would be 3:6, or 1:2

Step-by-step explanation:

i got that by dividing 3, by 3, to get 1, and dividing 6 by 3, to get 2

so the ratio of basket ball cards to baseball cards is 1:2,

hope this helps

Step-by-step explanation:

1 ton = 2,000 Pounds

110 x 5 = 550

You multiply by 5 because 2,000 x 5 = 10,000.

----------------------------------------------------

Hope that helped.

The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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Answer:

80%

Step-by-step explanation:

First, look at the denominator.

in the fraction 23/25, the denominator is 25. A denominator is the number on the bottom of the fraction. 25 can easily be multiplied by 4 to get to 100, which will allow for an easy way to find the percentage.

Since we already know that 25 x 4 = 100, now we must do the same thing for the numerator, or the number on the top of the fraction.

23 x 4 = 92

Now we know that 23/25 = 92/100

therefore the answer is 92%

John gave 92% of his orange to his friend