Which expression is equivalent to 3/4x -1/4xy

Solution :

Given :

The sample mean = 21.3

Standard deviation = 3.2

The null hypothesis is : [tex]H_0: \mu =20[/tex]

The alternate hypothesis : [tex]H_a:\mu \neq20[/tex]

This is a two tailed test, for which a [tex]\text{t-test for one mean}[/tex] with an unknown population of a standard deviation is being used.

Now the significance level, [tex]\alpha = 0.1[/tex], as well as the critical value for a two tailed test is [tex]t_c = 1.833[/tex]

The rejection region is [tex]R = \{ t:|t| > 1.833 \}[/tex]

The t-statistic is computed as follows :

[tex]t=\frac{\overline x - \mu_0}{s/ \sqrt n}[/tex]

[tex]t=\frac{21.3-20}{3.2/ \sqrt{10}}[/tex]

 = 1.285

Since it is observed that [tex]|t| = 1.285 \leq t_c=1.833[/tex], it is then concluded that  [tex]\text{the null hypothesis is not rejected.}[/tex]

The p-value is p=0.231 and since p 0.231 ≥ 0.1, it is concluded that [tex]\text{the null hypothesis is not rejected.}[/tex]

Conclusion

Thus we concluded that [tex]\text{null hypothesis}[/tex] [tex]H_0[/tex] is not rejected. Therefore, the population mean [tex]\mu[/tex] is different than 20, at the 0.1 significance level.

Answer:

Collage = Bad lol

Step-by-step explanation:

Answer:

BCDE

Step-by-step explanation:

You can see it in the image. Parallel = if the line keeps going and will never touch each other.

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

   A, D

Step-by-step explanation:

The horizontal distance between the points is the difference of their x-coordinates.

A) 5.5 -(-6.5) = 12.0 . . . greater than 11

B) 4.7 -(-3.3) = 8.0

C) 11/3 -(-10/3) = 21/3 = 7

D) 2 -(-12) = 14 . . . greater than 11

Answer:

0° < x < 83.76°

Step-by-step explanation:

Assuming a pyramid with a square base, and the height of the pyramid varies from almost zero to almost infinity.

The largest value for the angle x+2 is when the height of the pyramid is almost zero.

Then the face is an isosceles triangle with base 13 and height 14.

The angle opposite the base is then

x+2  = 2*atan(6.5/7) = 2* 42.879 = 85.76°

when the height is almost infinite, the angle is almost zero.

Therefore the range of the value of x

0° < x < 83.76°

Answer:

5

Step-by-step explanation:

D² = ( x2 - x1 )² + ( y2 - y1 )²

= [ (-18) - (-18) ]² + [ (-1) - (-6) ]²

= ( -1 + 6 )²

D² = ( 5 )²

hence, D = 5

Answer: B) 5

Step-by-step explanation:

Let's start by finding the distance from one x coordinate to the other. Remember subtracting by a negative is the same as adding a positive

-18-(-18)

-18+18

0

There is no distance away from the x value so the distance we need to count is from the y value

-1-(-6)

-1+6

5

The distance between the two points is 5.

Answer:

Probely B since theres less water

Step-by-step explanation:

Answer:

Your answer would be A.Changes in the food chain

Step-by-step explanation:

The reason why this would be the answer is that Biodiversity is just the Variety of life in a habitat or ecosystem.

Please Mark as Brainliest

Hope this Helps

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65[/tex]

For point a:

Using formula:

[tex]Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\[/tex]

For point b:

[tex]P(X<5)=?\\\\ x = 5\\\\ Z = \frac{(X - \mu)}{\sigma} = \frac{(5 -3.01)}{2.65} = 0.7509434\\\\P(Z< 0.7509434) = 0.7736566\\\\P(X<5) = P(Z< 0.7509434) = 0.7736566[/tex]

For point c:

[tex]X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66[/tex]

For point d:

[tex]P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X<1)\\\\\text{Z score for x} = 6\\\\Z = \frac{(6 - 3.01)}{2.65} = 1.128301887 \\\\P(Z< 1.128301887) = 0.870403777 \\\\P(X<6) = P(Z< 1.128301887) = 0.870403777 \\\\\text{Z score for x} = 1 \\\\[/tex]

[tex]Z = \frac{(1 -3.01)}{2.65} = -0.758490566\\\\P(Z< -0.758490566) = 0.224078679\\\\P(X<1) = P(Z< -0.758490566) = 0.224078679 \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X<6) - P(X<1) \\\\ = 0.870403777 - 0.224078679 = 0.646325097 \\\\\text{Required probability} = 0.646325097[/tex]

Answer:

Part A=2cm²

Part B =The area of each triangle will be 1cm²

Explanation:

Part A

Area of parallelogram similar to that of rectangle =length x width

Area of the parallelogram= 3 x 2/3

= 2cm²

Part B

If you draw a line from A to C or B to D the form 2 triangles

Area of a triangle =1/2 x base x Height

=1/2 x 3 x 2/3

= 6/6

= 1cm²

Therefore both triangles are 1cm²

Sorry for not explaining at first I submitted the answer by accident

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

8x + y = −7

for y = 1

8x + 1 = -7

subtract 1 from boh sides

8x = -8

divide bot sides by 8

x = -1

(x, y) = (-1, 1)

Answer:

the correct answer is 1:4

Step-by-step explanation:

hope this helps!

Answer:

The answer would be 3.33.

Step-by-step explanation:

Simplifying 12x + 5 = 3x + 35

Reorder the terms: 5 + 12x = 3x + 35

Reorder the terms: 5 + 12x = 35 + 3x

Solving 5 + 12x = 35 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation. 5 + 12x + -3x = 35 + 3x + -3x

Combine like terms: 12x + -3x = 9x 5 + 9x = 35 + 3x + -3x

Combine like terms: 3x + -3x = 0 5 + 9x = 35 + 0 5 + 9x = 35

Add '-5' to each side of the equation. 5 + -5 + 9x = 35 + -5

Combine like terms: 5 + -5 = 0 0 + 9x = 35 + -5 9x = 35 + -5

Combine like terms: 35 + -5 = 30 9x = 30

Divide each side by '9'. x = 3.333333333

Simplifying x = 3.333333333

Answer:

[tex]d = 6[/tex]

Step-by-step explanation:

Given

[tex]S_n = 3n^2 + 5n[/tex]

Required

Find d

First, find the sum of the first 1 term

[tex]S_1 = 3 * 1^2 + 5 * 1[/tex]

[tex]S_1 = 8[/tex]

The sum of the first 2 terms

[tex]S_2 = 3 * 2^2 + 5 * 2[/tex]

[tex]S_2 = 22[/tex]

Calculate the first term (a)

[tex]a = S_1[/tex]

[tex]a = 8[/tex]

Calculate the second term (T2)

[tex]T_2 = S_2 - S_1[/tex]

[tex]T_2 = 22 - 8[/tex]

[tex]T_2 = 14[/tex]

The common difference is:

[tex]d = T_2 - a[/tex]

[tex]d = 14 - 8[/tex]

[tex]d = 6[/tex]

Answer:

10.787

Step-by-step explanation:

Given :

23.3×0.463

After multiplying this equation ,

10.787

Therefore, answer will be 10.787

Answer:

85

Step-by-step explanation:

A z-score of 1.25 means that the actual exam score is 1.25 standard deviations above the mean, and therefore the exam score we are looking for is: mean + 1.25 * SD = 75 + 1.25 * 8 = 85

Answer:

Abdul - 8 messages

Latoya - 16 messages

Dale - 64 messages

Total - 88 messages

Step-by-step explanation:

A: (x)

L: (A + 8)

D: (L* 4)

A: 8 = 8

L: 8 + 8 = 16

D: 16 * 4 = 64

8 + 16 + 64 = 88

Hope this helps!

Answer:

-11 + 73

62°

Step-by-step explanation:

Morning temperature = - 11

Afternoon temperature = morning temperature + 73°

We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;

Hence, temperature in the afternoon will be :

-11° + 73° = 62°

Hence, after oon temperature will be 62°

The diagonals of a rectangle are equal and bisect each other.

NQ= 2×5 =10

Using Pythagoras theoram,

PQ²+NP²=NQ²

4²+ NP²= 10²

NP²= 100-16

NP²= 84

NP =√84

Answer:

172.8 m^3

Step-by-step explanation:

Volume for triangualr prism formula:

1/2 • length • width • height

Use formula with given dimensions:

1/2 • 7.2 m • 10 m • 4.8 m = 172.8

Volume is measured in cubic meters

(meters in this situation)

FINAL ANSWER:

172.8 cubic meters

Hope this helps!

The volume of the given prism is 172.8 cubic centimeters.

The given prism is a triangular prism with base length of 7.2m.

Height of 4.8m

Length of 10m.

The formula for volume of prism is V=1/2 bhl

Plug in the values of length , breadth and height:

V=(1/2) × 10 × 4.8 × 7.2

V=5×4.8×7.2

V=172.8 cubic centimeters.

Hence, the volume of the given prism is 172.8 cubic centimeters.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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Answer:

3t4 plus 5t equal value of minus two equal is minus eight

Answer:

3/1/2 units 3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Process of elimination:

It can’t be a or b, because the plot does not have any 2’s.

Its not c, because the plot does not have any 5’s

So it must be d

Answer:

D is the answer

Step-by-step explanation:

it only shows two 1s three 3s one 4 no 5s three 6s and so in and so forth

Answer:

$0.25

Step-by-step explanation:

First, find how much the stickers and candy cost in total:

3.25 + 6.50

= 9.75

Subtract this from 10 to find how much change she got back:

10 - 9.75

= 0.25

So, she got back $0.25 in change

Answer:

49

Step-by-step explanation:

Answer:

3x - 7y = 14

Step-by-step explanation:

standard form is: ax + by = c

first, add 2 to each side of the equation to get:

2 + y = 3/7x

now multiply each term by 7 to eliminate fraction:

14 + 7y = 3x

now subtract 7y from each side to get:

3x - 7y = 14

Answer:

the value of x is 2.

Step-by-step explanation:

5(3x - 4) = 2(2x + 1)

15x - 20 = 4x + 2

15x - 4x = 2 + 20

11x = 22

x = 22/11

x = 2

Answer:

10% of students buy neither the textbook nor the supplement from the bookstore

Step-by-step explanation:

We have that:

15% buy only the textbook.

75% buy both the textbook and the supplement.

None buy only the supplement.

a) What percent of students buy neither the textbook nor the supplement from the bookstore

15% + 75% = 90% buy at least one of them. So

100% - 90% = 10% buy neither.

Answer:

504/8=63/6=10.5

10 rooms per floor with 3 leftover