an official playing field (including end zone) for the indoor football league has a length 39 yd longer than its width. the perimeter of the rectangular field is 162 yd. find the length

Answer:

H0: μ ≤ 1.30

H1: μ > 1.30

|Test statistic | > 1.833 ; Reject H0

Test statistic = 3.11

Yes

Pvalue = 0.006

Step-by-step explanation:

H0: μ ≤ 1.30

H1: μ > 1.30

Samples, X ; 1.36,1.35,1.33, 1.66, 1.58, 1.32, 1.38, 1.42, 1.90, 1.54

Xbar = 14.84 / 10 = 1.484

Standard deviation, s = 0.187 (calculator)

Decison rule :

|Test statistic | > TCritical ; reject H0

df = n - 1 = 10 - 1 = 9

Tcritical(0.05; 9) = 1.833

|Test statistic | > 1.833 ; Reject H0

Test statistic :

(xbar - μ) ÷ (s/√(n))

(1.484 - 1.30) ÷ (0.187/√(10))

0.184 / 0.0591345

Test statistic = 3.11

Since ;

|Test statistic | > TCritical ; We reject H0 and conclude that water consumption has increased

Pvalue estimate using the Pvalue calculator :

Pvalue = 0.006

Answer:

No because the graph is not a straight line

Step-by-step explanation:

Since the slope isn’t constant, the graph is not linear

Answer:

Consistent and dependent

Step-by-step explanation:

Given

[tex]3y = 9x - 6[/tex]

[tex]2y + 6x = 4[/tex]

Required

The words that describe the equations

Make y the subject in (2)

[tex]2y + 6x = 4[/tex]

Collect like terms

[tex]2y = 4 - 6x[/tex]

Divide through by 2

[tex]y = 2 - 3x[/tex]

Substitute: [tex]y = 2 - 3x[/tex] in (1)

[tex]3y = 9x - 6[/tex]

[tex]3(2 - 3x) = 9x - 6[/tex]

[tex]6 - 9x = 9x - 6[/tex]

Collect like terms

[tex]9x+9x = 6+6[/tex]

[tex]18x = 12[/tex]

Solve for x

[tex]x = \frac{12}{18}[/tex]

Simplify

[tex]x = \frac{2}{3}[/tex]

Substitute [tex]x = \frac{2}{3}[/tex] in [tex]y = 2 - 3x[/tex]

[tex]y = 2 - 3*\frac{2}{3}[/tex]

[tex]y = 2 - 2[/tex]

[tex]y =0[/tex]

So, we have:

[tex]x = \frac{2}{3}[/tex] and [tex]y =0[/tex]

The system is consistent because it has at least 1 solution

The system is dependent because it has more than 1 solution

Answer:

Yes

Step-by-step explanation:

Two numbers have to be greater than the other one or it does not make a triangle.

5+2>4, 7>4 true

5+4>2, 9>2 true

4+2>5, 6>5 true

If this helps please mark as brainliest

x=-1.6

Hope this Helped! :T

Answer:

parallelogram

Step-by-step explanation:

opposite sides are parallel and equal

Answer:

(x-8)² or (x-8)(x-8)

Step-by-step explanation:

x^2-16x+64

x^2 -8x -8x +64

x (x-8) - 8(x-8)

(x-8) (x-8)

(x-8)^2

Answer: 37m

Step-by-step explanation:

Convert 300cm into m = 3m

6 + 6 + 3 + 3 + 3.5 + 3.5 + 12 = 37m

Answer:

1) D

2) C

3) A

4) B

Step-by-step explanation:

Ok, we need to try each function in the point x = 0 and then analyze the limit as x goes to really large values.

1) g(x) = -3^x

When x = 0, we have:

g(0) = -3^0 = -1

Then we know that the graph of this function will be either A or D.

Now, as x goes to really large values, 3^x will eventually approximate to infinity.

Then - 3^x will approximate to negative infinnity.

From that, we can conclude that the graph for this function is the one that goes to negative infinite as x increases. That is graph D.

2) h(x) = (1/3)^(-x) = 3^x

This is the exact opposite of the previous function. So we need to find the graph that is an exact reflection across the x-axis of graph D, and that one is the graph C.

then the graph if this function is C.

3) k(x) = - (1/3)^x = -1/(3^x)

When x = 0

k(0) = -(1/3)^0 = -1

We have two options with a y-intersect at y = -1  (graph A and D) and in this case, we can see that the part that grows fast is in the denominator, then as x increases, the denominator increases, and thus the function will tend to zero, then the graph of this function is graph A.

4) g(x) =  3^(-x) = 1/(3^x)

g(0) = 1/(3^0) = 1/1 = 1

And same as before, as x increases, g(x) tends to zero.

Then the remaining graph (B) is the graph of this function.

Answer:

(16, 24, 7)

Step-by-step explanation:

The Triangle Inequality states that the sum of lengths of any two sides should be greater than the length of the third side.

But 16 + 7 = 23 is not greater than 24.

Answer:

2 . 57

Step-by-step explanation:

sorry if I'm wrong I'm not the Brady at math just trying

Answer:

Step-by-step explanation:

Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.

9514 1404 393

Answer:

  392 ft

Step-by-step explanation:

As in the attached figure, you seem to have sides b and c of the triangle, along with angle C. You want to find side 'a'. The law of sines can be used to find angle B, then angle A can be found from the sum of angles. Knowing angle A, we can find side 'a'.

  sin(B)/b = sin(C)/c

  sin(B) = (b/c)sin(C) = 400/550·sin(88°)

  B = arcsin(8/11·sin(88°)) ≈ 46.621°

Then angle A = ...

  A = 180° - B - C = 180° -46.621° -88° = 45.379°

Now, we can find side 'a' from ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) ≈ 550·sin(45.379°)/sin(88°) ≈ 391.710 . . . feet

The unknown side of the triangle is about 392 feet.

Answer:

71

Step-by-step explanation:

if you add 15+15+11+11+19 you will be getting 71

Answer:

4 yrs have passed since the account was opened

Answer:

D. Yes, because it passes the vertical line test

Step-by-step explanation:

Answer:

4600 grams of peanuts

Step-by-step explanation:

For 2 kg of peanuts the customer will get 300 g free.

So if 4 kg of peanuts the customer will get 600 g free.

1kg = 1000g

If 4kg, thus it is 4000g

All mass of peanut the customer gets is 4000g + 600g = 4600g of peanuts.

Answer:

15m

Step-by-step explanation:

Answer:

cot (X) = 5/12

Step-by-step explanation:

tan (X) = opp/adj so cot (X) is adj/opp

Answer:

Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°

Hope this helps!

Answer:

c

Step-by-step explanation:

Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

So C would be the most accurate statement

please give brainiest

Answer:

Last Option; 84 cu. mm

Step-by-step explanation:

We know that;

Volume = 1/3(Bh)

And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36

And height = 7mm

Therefore we can say;

Volume = (1/3)*(6 x 6)*(7)

Volume = (1/3)*(36)*(7)

Volume = (12)*(7)

Volume = 84

Hope this helps!

3. 8+5

4. 2x - 8

Step-by-step explanation:

3. for example : 5 more than the number means

x+5 so that's how we get the answer as 8+5

4. This can be explained in two folds firstly, for example: 2 less than the number means x-2.

secondly;7 times the number means 7x so therefore we get our final answer as 2x - 8

Answer:

ur question is not complete.

Answer:

B. (-1,7)

C. (0,5)

D. (2,3)

Step-by-step explanation:

We solve this question looking at the graphic.

A. (-7, 1)

When [tex]x = -7, y \rightarrow \infty[/tex], and thus (7,-1) is not solution of the equation.

B. (-1,7)

When [tex]x = -1, y = 7[/tex], and thus (-1,7) is a solution of the equation.

C. (0,5)

When [tex]x = 0, y = 5[/tex], and thus (0,5) is a solution of the equation.

D. (2,3)

When [tex]x = 2, y = 3[/tex], and thus (2,3) is a solution of the equation.

E. (3, 2)

When [tex]x = 3, y \neq 2[/tex], and thus (3,2) is not part of the solution

F. (5,0)

When [tex]x = 5, y \neq 0[/tex], and thus (5,0) is not part of the solution