Jayden travels 13/18 feet in 9/26 seconds. Find the speed of Jayden in feet per second.

The approximate percentage error on the weight of the beaker is 5%

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Error = Actual value - estimated value =

Actual value = 82g, Estimated value = 78g

Error = 82 - 78 which is 4

percent error = error/estimated x 100%

percent error = 4/78 x 100 which is 5%

In conclusion the percent error is 5%

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Using the t-distribution, it is found that:

a) Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.

b) The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).

Item a:

At the null hypothesis, it is tested if there is no difference, that is, the subtraction is at most 0, hence:

[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]

At the alternative hypothesis, it is tested if there is difference, that is, the subtraction is positive, hence:

[tex]H_1: \mu_1 - \mu_2 > 0[/tex]

The standard errors are given by:

[tex]s_1 = \frac{32.07}{\sqrt{60}} = 4.14[/tex]

[tex]s_2 = \frac{43.29}{\sqrt{30}} = 7.9[/tex]

The distribution of the difference has mean and standard deviation given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 112.63 - 94.26 = 18.37[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{4.14^2 + 7.9^2} = 8.92[/tex]

The standard deviation are given for the samples, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{18.37 - 0}{8.92}[/tex]

[tex]t = 2.06[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 30 + 60 - 2 = 88 df is [tex]t^{\ast} = 1.66[/tex]

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.

Item b:

The interval is:

[tex]\overline{x} \pm t^{\ast}s[/tex]

Hence:

[tex]\overline{x} - t^{\ast}s = 18.37 - 1.66(8.92) = 3.56[/tex]

[tex]\overline{x} + t^{\ast}s = 18.37 + 1.66(8.92) = 33.18[/tex]

The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).

A similar problem is given at https://brainly.com/question/25812826

Answer:

y=1/2x+8

Step-by-step explanation:

grab 2 points in this case (4,10) and (0,8)

use rise over run formula so it rises 2 and goes over 4

so 2/4 then simplify and you get 1/2

and the y intercept is 8 because thats when the slope touches the y line

so using the equation y=mx+b when m is slope and b is y interecpt

the answer should be y=1/2x+8

Answer:

y=2x+8

Step-by-step explanation:

8=b m=y_ý/x_x`=2

y=ax+b

y=2x+8

Answer:

48 ÷12 will help you 48 is cost divided by total cost which means cost of one adult and one child

Answer:

I think the answer is D please forgive me if I'm wrong

Answer:

I believe it would be B.

Step-by-step explanation:

Half a circle is 180 degrees, which is the location of option B. In other words you just rotate it halfway around and you'll find it at 180°.

Answer:

  P = 29 units

Step-by-step explanation:

Let h represent the height of the triangle. Then 2h is the length of the base. The area is given by ...

  A = 1/2bh

  36 = 1/2(2h)(h) = h²

  h = √36 = 6

  base = 2h = 12

The base of the isosceles triangle is 12 units, and its height is 6 units.

__

The altitude line makes a right angle with the base, dividing it into two right triangles with sides of length 6. The hypotenuse (s) of each of those is given by the Pythagorean theorem as ...

  s = √(6² +6²) = 6√2

Then the perimeter of the triangle is ...

  P = base +2s = 12 +2(6√2) = 12(1 +√2) ≈ 28.97 ≈ 29

The perimeter of the triangle is about 29 units.

_____

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

For an isosceles right triangle, this means the hypotenuse is √2 times the side length. (This is a useful relationship to remember, as it is used a lot in algebra and geometry problems.) The acute angles in such a triangle are 45°.

AtQ

[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(2x)(x)=36[/tex]

[tex]\\ \rm\hookrightarrow x^2=36[/tex]

[tex]\\ \rm\hookrightarrow x=6[/tex]

Apply Pythagorean theorem

[tex]\\ \rm\hookrightarrow H^2=6^2+6^2=36+36=72\implies H=8.5[/tex]

Perimeter

The length of the line segment GD is 10.5

To get the length of the line segment GD, we will use similarity theorems of triangles to have:

ED/FD = GD/DH

Substitute the given sides to have:

6+GD/(8+14) = GD/14

6+GD/22 = GD/14

Cross multiply

22GD = 14(6+GD)

22GD = 84 + 14GD

22GD - 14GD = 84

8GD = 84

GD = 84/8

GD = 10.5

Hence the length of the line segment GD is 10.5

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Answer:

3x

Step-by-step explanation:

because both terms are common 12 and 6 is 3 and x² and x is x

Given the inequality expression:

w−0.8>−2.4

Inequalities are expressions separated by an unequal sign.

According to the given question, we need to find the solution for "w"

w−0.8>−2.4

Add 0.8 to both sides

w−0.8+0.8>−2.4 + 0.8

w > -2.4 + 0.8

Simplify the result by adding to have:

w > -1.6

Find the number line representing the solution attached;

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[tex]213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67[/tex]

The value of x from the given equation is [tex]19\frac{2}{3}[/tex].

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is 213-12x=-23.

Now, 213+23=12x

⇒ 12x=236

⇒ x=236/12

⇒ x=59/3

⇒ x=[tex]19\frac{2}{3}[/tex]

Therefore, the value of x is [tex]19\frac{2}{3}[/tex].

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Answer:

Its 27

Step-by-step explanation:

Answer:

We can make 3 whole groups of 2.

Hope that helps. x

Step-by-step explanation:

2, 4, 6, 8

The closest number near to 7 is 6 so we do 6 divided by 2 which equals 3.

Answer:

Hya there!!

_______________________

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x  >  4 /3

Interval Notation:

( 4 /3 , ∞ )

_______________________

“Sleep my little baby-oh

Sleep until you waken

When you wake you'll see the world

If I'm not mistaken...

Kiss a lover

Dance a measure,

Find your name

And buried treasure...

Face your life

Its pain,

Its pleasure,

Leave no path untaken.”

― Neil Gaiman, The Graveyard Book

_______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Answer:

2x3 + 10x2 - x - 18

Step-by-step explanation:

hope this helps! goodluck & enjoy the rest of ur day /or night.

Answer:

(4x2 - x - 7) + (2x3 + 6x2 - 11) Adding polynomials

Step-by-step explanation:

Answer:So firstly, plug in the numbers into the expression:

Next, solve the exponents:

Next, solve the multiplications:

Lastly, combine everything, and your answer will be -23.

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

By substituting the given numeric values for x,y and z into the expression.

That is

(3)3−2(5)2−3(3)3+(−3)4

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

I'll evaluate each term separately.

(3)3=3×3×3=9×3=27

2(5)2=2×(5×5)=2×25=50

3(3)3=3×(3×3×3)=3×27=81

(−3)4=[(−3)×(−3)]×[(−3)×(−3)]=9×9=81

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

Replace these values back into the expression , noting the values which are subtracted.

⇒27−50−81+81=27−50=−23

Answer:

1/10

Step-by-step explanation:

Answer:

1 = --6

2 x=64

3 x= --5

4 x= --18

5 x=3

6 x=6

Step-by-step explanation:

GIMME BRANlIEST PLZZZ

Answer:

1.75 x 10^3

Step-by-step explanation:

This is quite a simple question really, we just have to remember one thing, the exponent laws. When both exponents have the same base and are getting divided by each other, you subtract the exponents.

So in this case we have 10^8 on top divided by the 10^5 on the bottom, so now you just subtract the 5 from 8 and you get 3 as your final exponent. So your power would just be 10^3.

The final step is just dividing 7 by 4 which is 1.75

Combine the power and 1.75 together to get the correct notation

1.75 x 10^3

Answer:

3 1/8, 8 1/5, 8 1/3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The distance between the points in RISE/RUN is 10/2.

10/2 = 5. Your slope is 5

Hope that helps. Brainliest is appreciated

Answer:

Identity property.

Step-by-step explanation:

Any number added to 0 keeps its original value, keeping its identity.

Explanation:

Let's say we started at point B (-6, 3). To get to point A(-4,2), we move down 1 and to the right 2. This movement determines the slope.

slope = rise/run = -1/2

rise = -1 and run = 2

A negative rise value means we go downhill when moving to the right.

Answer:

Step-by-step explanation:

When multiplying the same variable to different exponents add the exponents and multiply the constant numbers:

3x x 2x = 6x

^2 + ^3 = ^5

Answer is a. 6x^5

Answer:

8x + 2

Step-by-step explanation:

Like terms:

6x and 2x

-3 and 5

6x + 2x = 8x

5 - 3 = 2

8x + 2

Answer:

x = 1

Step-by-step explanation:

6x - 3 + 2x + 5 = 0 <=> (6x+2x) - (3+5) = 0 <=> 8x - 8 =0 <=> 8x = 8 <=> x = 1

Answer:

length times witdth times height

Answer:

  D. (f+g)(x) = 8x^2 + 4x - 4

Step-by-step explanation:

The notation (f+g)(x) is shorthand for f(x) +g(x).

  (f +g)(x) = f(x) +g(x) = (3x^2 -2x +4) +(5x^2 +6x -8)

  = (3 +5)x^2 +(-2 +6)x +(4 -8)

  (f +g)(x) = 8x^2 +4x -4

Answer:

1/4 is on the second line

3/8 is the the third one

3/8 is bigger

Hope This Helps!!!

Answer:

Hope this helps you.......

Answer:

I am not sure the answer is , if its minus ,divade ,multiply or plus but down the answer is correct

Step-by-step explanation:

17x - 75

× = 75÷17

x= 4.4117647059