A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the other corner by running diagonally across the field. What is the distance from one corner of the field to the other corner? Answer choices are rounded to the nearest meter.

Answer:

A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.

Step-by-step explanation:

Confidence interval:

We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.

48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.

48 - 3.5 = 44.5%.

48 + 3.5 = 51.5%.

Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.

Answer:

x < 7

Step-by-step explanation:

-8x + 40> -16

Subtract 40 from each side

-8x + 40-40> -16-40

-8x >-56

Divide each side by -8, remembering to flip the inequality

-8x/-8 < -56/-8

x < 7

Answer:

[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]

Step-by-step explanation:

Given

[tex]x + zy = 2[/tex]

Required

Rewrite to show y-intercept

We have: [tex]x + zy = 2[/tex]

Subtract x from both sides

[tex]zy = 2-x[/tex]

Divide both sides by z

[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]

The y intercet is: [tex]\frac{2}{z}[/tex]

Answer:

45.584

;)

Have a nice day

Answer:

B) positive x-axis.

Step-by-step explanation:

angle to be in standard position, its vertex is at the origin and the initial side lies along the positive x axis

Answer:

Positive x axis

Step-by-step explanation:

The angle lies in standard position means it begins from Q1

The first side must be x axis

Then in Q1 x>0 so it's positive x axis

Answer:

126

Step-by-step explanation:

1200 x .021=25.20 interest per year

25.20x5=126

assumes no compounding

Given:

Consider the rule of a sequence is:

[tex]T_n=\dfrac{n^2-n}{2}[/tex]

To find:

The 6th term generated by the given rule.

Solution:

We have,

[tex]T_n=\dfrac{n^2-n}{2}[/tex]

Substituting [tex]n=6[/tex] in the above rule, we get

[tex]T_6=\dfrac{6^2-6}{2}[/tex]

[tex]T_6=\dfrac{36-6}{2}[/tex]

[tex]T_6=\dfrac{30}{2}[/tex]

[tex]T_6=15[/tex]

Therefore, the 6th term generated by the given rule is 15.

the answer is 35 I did a lot of work I can't show you here

Answer:

(4a^5b^6)^4 = 256a^20b^24

Step-by-step explanation:

Answer:

where is the question?

Step-by-step explanation:

Answer:

[tex]sin(\theta) = \frac{\sqrt{17} }{7}[/tex]

Step-by-step explanation:

We know that:

sin(x)^2 + cos(x)^2 = 1

And we know that:

[tex]cos(\theta) = \frac{4\sqrt{2}}{7} }[/tex]

We want to find the value of the sine function evaluated in theta.

If we replace that in the first equation, we get:

[tex]sin(\theta)^2 + cos(\theta)^2 = 1[/tex]

[tex]sin(\theta)^2 + (\frac{4*\sqrt{2} }{7}) ^2 = 1[/tex]

[tex]sin(\theta)^2 + (\frac{4^2*\sqrt{2}^2 }{7^2}) = 1[/tex]

[tex]sin(\theta)^2 + (\frac{16*2 }{49}) = 1[/tex]

Now we can just isolate the sine part of that equation, so we get:

[tex]sin(\theta)^2 = - (\frac{16*2 }{49}) + 1 = \frac{-32}{49} + \frac{49}{49} = \frac{-32 + 49}{49} = \frac{17}{49}[/tex]

[tex]sin(\theta) = \sqrt{\frac{17}{49} } = \frac{\sqrt{17} }{\sqrt{49} } = \frac{\sqrt{17} }{7}[/tex]

(We can't simplify the fraction anymore)

Answer: k = 8

Step-by-step explanation:

-3k + 30 = 6

-3k = -24

k = 8

Answer:

k = 8

Step-by-step explanation:

6 = -3(k - 10)

Divide each side by -3

6/-3 = -3/-3 *(k - 10)

-2 = k-10

Add 10 to each side

-2+10 = k-10+10

8 = k

Answer:

7

Step-by-step explanation:

Divide 14 by 2

Answer:

.....

Step-by-step explanation:

Up and down

Answer:80^w2−48

Step-by-step explanation:

Answer:

If You Factor it it will be (w+8) (5w2-3)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It is D because there are only 3 sides given. I understand where you were going with B, but there is no angle given, (and you cannot prove one either), so the answer is simply D.

A - There is no angle, triangle does not matter

B - There is no angle, triangle is correct

C - It is similar, they have the same scale factor

D - There are 3 sides, and the triangle is correct

Answer:

P(rolling five distinct values) = 1/3888

Step-by-step explanation:

We are told that I the fair sided dice, 6 is replaced with 5.

Thus,the numbers are now;

1,2,3,4,5,5.

This means a total of 6 possible numbers appearing.

Now, in these 6 numbers there are only 5 distinct numbers since 5 occurs twice.

P(1) = 1/6

P(2) = 1/6

P(3) = 1/6

P(4) = 1/6

P(5) = 2/6

Thus,probability of rolling 5 distinct values = 1/6 × 1/6 × 1/6 × 1/6 × 2/6 = 1/3888

Answer:

Step-by-step explanation:

angle 2 and angle 3 are complementary angle because their sum is 90 degree as they are perpendicular.

Answer:

Step-by-step explanation:

1 is 60 2 i 60 and 3 is 61 ;)

Answer:

The least amount is $75.50

Step-by-step explanation:

Given

[tex]p \to profit[/tex]

[tex]x \to amount[/tex]

[tex]p = -0.5x^2 + 36x - 231[/tex]

Required

The smallest amount to make at least 363

We have:

[tex]p = -0.5x^2 + 36x - 231[/tex]

Rewrite as:

[tex]-0.5x^2 + 36x - 231=p[/tex]

Substitute 363 for p

[tex]-0.5x^2 + 36x - 231 = 363[/tex]

Collect like terms

[tex]-0.5x^2 + 36x - 231 + 363 = 0[/tex]

[tex]-0.5x^2 + 36x + 132 = 0[/tex]

Using quadratic formula, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

[tex]a = -0.5; b= 36; c = 132[/tex]

So, we have:

[tex]x = \frac{-36 \± \sqrt{36^2 - 4*-0.5*132}}{2*-0.5}[/tex]

[tex]x = \frac{-36 \± \sqrt{1560}}{-1}[/tex]

[tex]x = \frac{-36 \± 39.50}{-1}[/tex]

Split

[tex]x = \frac{-36 + 39.50}{-1}; x = \frac{-36 - 39.50}{-1}[/tex]

[tex]x = \frac{3.50}{-1}; x = \frac{-75.50}{-1}[/tex]

[tex]x = 75.50[/tex] and [tex]x = -3.50[/tex]

The amount can't be negative.

So:

[tex]x = 75.50[/tex]

Hence, the least amount is $75.50

9514 1404 393

Answer:

  4. (d) 4.38 in³

  5. (b) 19 gallons

  6. (a) 6.4 yd³

Step-by-step explanation:

4. The equation can be rearranged to find the compressed volume.

Multiply both sides by the compressed volume:

  (compression ratio)×(compressed volume) = (expanded volume)

Divide both sides by the compression ratio:

  (compressed volume) = (expanded volume)/(compression ratio)

Fill in the numbers and do the arithmetic.

  compressed volume = 46.0 in³/(10.5/1) = 4.38 in³

The compressed volume is about 4.38 in³.

__

5. The area to be covered is 3170 ft². We want to cover it twice, so the total area we want to cover is 2×3170 ft² = 6340 ft². One gallon of paint covers 350 ft². We want to find the smallest integer number of gallons n such that ...

  n×(350 ft²) ≥ 6340 ft²

Dividing by the coefficient of n, we have ...

  n ≥ 6340/350 ≈ 18.11

The smallest integer value of n is 19. 19 gallons of paint will be needed.

__

6. The quantity of sand needed (q) is proportional to the area to be covered, so we have ...

  q/(400 yd²) = (1.6 yd³)/(100 yd²)

Multiplying both sides of this equation by 400 yd² gives ...

  q = (1.6 yd³)(400/100) = 6.4 yd³

6.4 yd³ of sand will be needed.

Answer:

∠1 = ∠8

Step-by-step explanation:

Because they are ALTERNATE EXTERIOR ANGLE

Answer:

∠1 = ∠8

Step-by-step explanation:

Because alternate exterior angles are equal.

Also there is no angle given so you cant work them out.

simply put:

∠1 = ∠8

∠1 = ∠4

∠3 = ∠2

∠1 = ∠5

∠2 = ∠6

∠2 = ∠7

∠5 = ∠8

∠4 = ∠8

∠7 = ∠6

∠7 = ∠3

Let me know if I missed out on anymore! It was long that's why.

Hope this kind of explained it :)

Step-by-step explanation:

Hope you can correct you question

Answer:

A. A triangle can be equilateral and obtuse at the same time

Step-by-step explanation:

All angles in an equilateral triangle are 60° therefore they cannot be above 90° and less than 180°

Hello there I hope you are having a great day :) Cindy has a chocolate box whose length is 12 cm, height of 8 cm, and width of 6 cm. Find the volume of the box?

V = L x W x H

Volume = length x Width x Height.

12cm x 6cm x 8cm = V = 576cm^3

so the answer is 576cm^3

Hopefully that helps you :)

Step-by-step explanation:

VOLUME : is the quality of three deamination place enclosed by a closed surface it is the space that substance or shape or keep use or contains it is measured in cubic units

A RACTANGULAR :is a three dimensional figure it has length wind and height

let us analysis the problem above

length =12 cm

height = 8 cm

width=6 cm

v=1 x w x h

=(12 CM) x (8 CM) x (6 CM)

the value of the box is 576 CM ³

Answer:

16

Step-by-step explanation:

Given

A coin

[tex]n = 7[/tex] --- Number of flips

[tex]x \to heads[/tex]

Required

Which can't be the value of x

From the question, we understand that the coin was flipped 7 times.

This means that, the highest occurrence of head is:

[tex]x = 7[/tex]

And the list is:

[tex]x = 0[/tex]

So, the range of x is:

[tex]x = \{0,1,2,....,7\}[/tex]

In the above range, only (16) is out of range.

Hence:

[tex]x \ne 16[/tex] --- Number of heads can't be 16

Answer:

Can you insert a picture?  and then I could help you.

Step-by-step explanation:

Answer:

Brianne would earn 5 dollars an hour so the graph should look something like this.

Answer:

Step-by-step explanation:

I dont know how to do the box thing, but I added all the things and boys read more.

girls:1870

boys:1952

The diffrence (when subracting) is 82

Answer:

x = 133

Step-by-step explanation:

x + 14 = 147

x (+ 14 - 14) = 147 - 14

x = 133