A rectangle has a perimeter of 30 and a length of 10. Find the width.

Answer:

M<E = 62°

Step-by-step explanation:

Since (8x-34)° and (5x+2)° are alternate interior angles, it means they equal each other so...

(8x-34)°= (5x+2)°

if you drop the parenthesis, you get

8x-34= 5x+2

Then you just solve and simplify it

3x= 36 ----> x= 12

Now you know what x is, you would plug it in to either one and you get 62 as your answer meaning m<E is 62°

8(12)-34= 62 (since this angle and angle E are parallel, the angles are the same and that is why if you plug x into this equation, you can find out what the angle of E is)

5(12) +2= 62 ( and since this angle is across from angle E, it means the angles are the same... so that's why if you plugged in x which is 12 into this equation, you can also find E)

I don't know if this helped or not.. it's kind of confusing and hard to explain without being able to show you... sorry.

The percentage error is approximately 10%

We have:

Estimated = 1242

Actual = 1378

The change in the measurement is:

Change = Actual - Estimate

So, we have:

Change = 1378 - 1242

Evaluate

Change = 136

The percentage error is then calculated as:

Percentage error = Change * 100%/Actual

This gives

Percentage error = 136 * 100%/1378

Evaluate

Percentage error = 9.869%

Approximate

Percentage error = 10%

Hence, the percentage error is approximately 10%

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Answer:

The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Step-by-step explanation:

Step(i):-

Given the average speed of greyhound dogs is about 18.4 meters per second.

Size of the sample 'n' = 35

mean of the sample x⁻ = 18.7

Population standard deviation = 1.5m/s

level of significance (∝)  = 0.05

Step(ii):-

Null hypothesis : H₀ : μ = 18.4

Alternative  hypothesis H₁ :  μ ≠ 18.4

Test statistic

              [tex]Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }[/tex]

             [tex]Z = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }[/tex]

            Z = 1.183

Conclusion:-

The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Answer:

The answer is 230.14

Easy long division

Answer:

B

Step-by-step explanation:

Because the slope is a positive slope (goes through the positive quandrants on the graph), we can eliminate answer choices c. Now, if we solve a, b, and d and we can see if the slope + y-intercept matches the graph.

For A.) (solve for y to get a y=mx + b equation)

3x-2y=4

-2y= -3x + 4

y= 3/2 -2

For B.)

3x-2y= -4

-2y= -4-3x

y= 3/2 + 2

For D.)

2x+3y= 4

3y= 4-2x

y= -2/3x + 4/3

Now, if we look at D, the slope is negative so it cannot be D. That leaves us with A and B. The b in the y=mx + b equation stands for the y-intercept, so we can see that the y-intercept is 2. So, since the graph intersects the y-axis at (0,2), the answer is B! y=3/2 + 2 has a positive slope and 2 for the y-intercept!

Answer:

a

 [tex]P( X > 46) = 0.7 \ minute[/tex]

b

[tex]\mu = 42 \ minute[/tex]

Step-by-step explanation:

From the question we are told that  

   The procedure for performing a certain task is uniformly distributed on the interval from( a =  32 )minutes to (b= 52) minutes

  Generally the cumulative distribution function for continuous uniform distribution is  

             [tex]F(x) = \left \{ {{0 \ \ \ \ \ for \ x \ x < a} \atop {\frac{x-a}{b-a} } \ \ for \ a \le x \ge b} \atop {1 \ \ \ \ \ \ \ for \ x > b }\right.[/tex]

Generally the probability that it takes more than 46 minutes to learn the procedure is mathematically represented as

          [tex]P( X > 46) = F(46) = \frac{46 - 32}{52-32}[/tex]

=>       [tex]P( X > 46) = 0.7 \ minute[/tex]

Generally the average time required to learn the procedure is mathematically represented as

        [tex]\mu = \frac{a + b}{2}[/tex]

=>     [tex]\mu = \frac{32 + 52}{2}[/tex]

=>     [tex]\mu = 42 \ minute[/tex]

Answer:

it is the 1st one

Step-by-step explanation:

because you have to add up all three sides  because you need 180 then subtract that answer from 180 and you will get your answer

Answer:

posistive i think welp hope this helps :D

Step-by-step explanation:

Answer:

The table is:

x        y

1         1

2        5

3        9

The graph B shows the relationship y=4x-3

Step-by-step explanation:

We need to fill the table using the rule:

To find y multiply x by 4 and then subtract 3.

Writing rule in mathematical form:

y=4x-3

Now for completing the table we need to put x=1,2 and 3 and find values of y

[tex]For x=1//y=4x-3\\ y=4(1)-3\\ y=4-3\\ y=1\\[/tex]

[tex]For \ x=2\\y=4x-3\\ y=4(2)-3\\ y=8-3\\ y=5[/tex]

[tex]For \ x=3\\y=4x-3\\ y=4(3)-3\\ y=12-3\\ y=9[/tex]

So, the table is:

x        y

1         1

2        5

3        9

The graph B shows the relationship y=4x-3

Answer:

20%

Step-by-step explanation:

trust me

Answer:

(7x^2 -1)(x - 2).

Step-by-step explanation:

7x^3 - 14x^2 - x + 2

We can factor this by grouping - that is factoring the first 2 terms and the last 2:

= 7x^2(x - 2)  - 1(x - 2)      <-- the x - 2 is common to both parts so we have:

(7x^2 -1)(x - 2).

Answer:

Step-by-step explanation:

When x=-2; y = -16+12= -4. This means a=-4

When x=-1; y= -2+3 = 1. This means b= 1.

When x=2; y = 16 +12 = 28 . This means c= 28

When x=4; y= 128+48 = 176. This means d= 176

Answer:

m<1 is 115°

This is said to be true by the alternate interior angles theorum which describes this situation

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

alternate interior angles

Answer:

A

Step-by-step explanation:

Answer:

480^12

Step-by-step explanation:

When you're multiplying exponents with the same base, the simplest way is to add the two exponents:

480^8 * 480^4 =

480^(8+4) =

480^12

Then solve, but your question doesn't ask for that.

Answer:

= √b/2a⁴

Step-by-step explanation:

First, we can simplify the ³⁄₁₂ to ¼

Next, we can simplify the a⁻³/a⁵ to a⁻⁸ which is ¹⁄ₐ⁸

Then we can simplify the b²/b to b

Now we should have:

√(b/4a⁸)

= √b/√(4a⁸)

= √b/2a⁴

Step-by-step explanation:

First, we need to get it to slope-intercept form:

So you distribute the 4 to x-4:

4x-16

now the equation looks like this:

y-6=4x-16

now move the -6 to the other side:

y=4x-10

Answer:

The graph of the equation y - 6 = 4(x - 4) is attached at the end.

To graph the equation y - 6 = 4(x - 4), rewrite it in slope-intercept form by solving for y:

y - 6 = 4(x - 4)

y - 6 = 4x - 16

y = 4x - 16 + 6

y = 4x - 10

Now, the slope (m) is 4 and the y-intercept (b) is -10.

To graph the equation, plot a few points and draw a straight line passing through those points.

Choose some x-values and calculate the corresponding y-values:

For x = 0, y = 4(0) - 10 = -10

For x = 2, y = 4(2) - 10 = -2

For x = 4, y = 4(4) - 10 = 6

For x = 6, y = 4(6) - 10 = 14

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Answer:

7/10

Step-by-step explanation:

4 1/5 - 3 1/2 = 7/10

Answer:

the answer is J

Step-by-step explanation:

Answer:H

find the slope

Answer:

d = 140t

Step-by-step explanation:

The function that relates the distance travelled d to the time t is d = f(t) = 140t.

Speed is a scalar quantity which measures the rate of change of the position of an object without measuring on the direction.

In other words, it can be defined as the ratio of distance covered by an object to the time taken by the object to cover the distance.

The train leaves the station at time t = 0.

Distance travelled by the train = 280 kilometers

Time taken to travel the distance = 2 hours

Speed = Distance / Time

           = 280 / 2

           = 140 kilometers/ hour.

Given that train travels at a constant speed.

So for any distance 'd' and the time taken to travel the distance 't',

d / t = 140

d = 140t

d = f(t) = 140t

Hence the distance travelled by the train can be related to the time taken by the function, d = f(t) = 140t

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Answer:

The slope is 0

Step-by-step explanation:

y = mx + b

y = 0x - 4

You can also graph it

Since the graph would be straight, the slope is 0

Answer:

option C

Step-by-step explanation:

I hope now it's helped

Answer:

3. about 15

4. about 9

5. about 11

Step-by-step explanation:

Trust meh

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

32/4 (4)

32/16 = 2

Therefore, the answer is C, 2.

I hope this helps! Please mark me brainliest if you can!

Answer:

Adult : $12.5 per ticket

Kids: $7.5 per ticket

Day 1

Adult tickets were $75

Kids tickets were $37.5

Day 2

Adult tickets were $100

Kids tickets were  $30

Step-by-step explanation:

Answer:

The first Day for Adults it cost 18.75 and for the kids it cost 22.5

The Second Day for the Adults is 16.25 and for the kids it is 32.5

Step-by-step explanation:

The way I Solved this is i took the amount it cost a didved it by how many Adult tickets there were and how many Kids tickets there and there you go. Super Easy!!

Answer:

You multiply both sides by 4

Step-by-step explanation:

That's why we multiply by 4. Hope this helps

Answer:

multiply by 4

Step-by-step explanation:

Answer:

x+8

Step-by-step explanation:

"a number" is x? And it is added to 8.