PLEASE HELP!!!!!! I AM BEING TIMED!!!!
A garden hose fills a 2 gallon bucket in five seconds the number of gallons G is the proportional to the number of seconds T that the water is running select all the equations that represent the relationship between G and T

Answer:

The 95%  confidence interval is

           [tex] 5.92  <   \mu  <  7.284 [/tex]

Step-by-step explanation:

From the question we are told that

  The data is  6.5   6.7    7.2    6.4    7.3

Generally the sample  mean is mathematically represented as

         [tex]\= x = \frac{\sum x }{n}[/tex]

=>      [tex]\= x = \frac{ 5.5 + 6.5 + \cdot 7.3 }{ 6}[/tex]

=>      [tex]\= x = 6.6[/tex]

Generally the standard deviation is mathematically represented as

         [tex]\sigma = \sqrt{ \frac{ \sum (x_i - \= x )^2 }{ n-1} }[/tex]

=>      [tex]\sigma = \sqrt{ \frac{ (5.5 - 6.6 )^2 +(6.5 - 6.6 )^2 + \cdot + (7.3 - 6.6 )^2 }{ 6-1} }[/tex]

=>      [tex]\sigma = 0.6512[/tex]

Gnerally the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]

=>       [tex]df = 6 -1[/tex]

=>       [tex]df = 5[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]t_{\frac{\alpha }{2} , 5 } = 2.571 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2}, 5  } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E =  2.571  *  \frac{0.6512}{\sqrt{6} }[/tex]

=>    [tex]E = 0.6835 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x  -E <   \mu  <  \= x  +E[/tex]

=>     [tex]6.6  - 0.6835 <   \mu  <  6.6  +  0.6835[/tex]

=>     [tex] 5.92  <   \mu  <  7.284 [/tex]

Answer:

[tex]Leg\ 1 = 8[/tex]

[tex]Leg\ 2 = 15[/tex]

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

[tex]Hyp^2 = Adj^2 + Opp^2[/tex]

In this case:

[tex]17^2 = x^2 + (2x- 1)^2[/tex]

Open Bracket

[tex]17^2 = x^2 + 4x^2- 2x-2x + 1[/tex]

[tex]17^2 = 5x^2 - 4x + 1[/tex]

[tex]289= 5x^2 - 4x + 1[/tex]

Collect Like Terms

[tex]5x^2 - 4x + 1 - 289 = 0[/tex]

[tex]5x^2 - 4x - 288 = 0[/tex]

Solving using quadratic formula:

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

So:

[tex]x = 8[/tex] or [tex]x = -7.2[/tex]

Since, x can't be negative, then:

[tex]x = 8[/tex]

One of the leg is:

[tex]Leg\ 1 = x[/tex]

[tex]Leg\ 1 = 8[/tex]

[tex]Leg\ 2 = 2x - 1[/tex]

[tex]Leg\ 2 = 2*8 - 1[/tex]

[tex]Leg\ 2 = 16 - 1[/tex]

[tex]Leg\ 2 = 15[/tex]

Answer:

The percentage (score) obtained by Ria is 78%

Step-by-step explanation:

The given percentage Raj obtained in the exam = 51%

The marks Raj obtained = 459 marks

The marks Ria obtained in the same exam = 702

The percentage obtained by Ria is given as follows

Let x represent the total score of the exam, we have;

51% of x = 459

Therefore;

51/100 × x = 459

x = 459 × 100/51 = 900

The total score in the exam = 900

The percentage score obtained by Ria is therefore given as follows;

Ria's percentage score = (Ria's raw score/(The total score of the exam)) × 100 = (702/900) × 100 = 78%

Therefore, the percentage (score) obtained by Ria = 78%.

Answer:

[tex]N:D = 1: 2[/tex]

Step-by-step explanation:

Given

Represent Nickels with N and Dimes with D

[tex]N=25[/tex]

[tex]D=25[/tex]

Required

Write as a ratio to lowest term

Ratio of Nickels to Dime is represented as N:D

[tex]N:D = 25\ nickels : 25\ dimes[/tex]

Convert nickels to dollar

[tex]N:D = 25\ * \$0.05. : 25\ * \$0.10[/tex]

[tex]N:D = 1.25 : 2.5[/tex]

Divide through by 1.25

[tex]N:D = 1.25/2.25 : 2.5/1.25[/tex]

[tex]N:D = 1: 2[/tex]

Hence, the ratio to lowest term is 1:2

Answer:

1/2

Step-by-step explanation:

Answer:

c is equal to 13

because -8 + 8 is 0 and 0 + 5 is 5 and 8 + 5 is 13

Answer:

91.08%

Step-by-step explanation:

Confidence interval = (1.6, 8.4)

Sample size (n) = 30

Standard Error (E) = 2

Mean (m) = 5

The confidence interval is obtained using the relation :

Mean ± Zcritical * standard error

5 ± Zcritical * 2

5 - (Zcritical * 2) = 1.6

5 - 2Zcritical = 1.6

5 - 1.6 = 2Zcritical

3.4 = 2Zcritical

Zcritical = 3.4 / 2

Zcritical = 1.7

From Z probability calculator

P(Z < 1.7) = 0.044565

α = 1 - (0.044565 * 2) = 0.91087

0.91087 * 100% = 91.08% = 91%

Hence, confidence level = 91.08%

Answer:

yes

Step-by-step explanation:

Answer:

[tex]a_{1}[/tex] = 12

[tex]a_{2}[/tex] = 20

[tex]a_{3}[/tex] = 28

Step-by-step explanation:

In order to find the values of the first three terms of this sequence we would have to substitute in the "n" values for the first three terms that we mention earlier so. So in order to find the value of the first term we will substitute n with 1 (since the first term will be written as [tex]a_{1}[/tex], and as you see 1 will be equal to n, use the same logic for the other three terms) , in order to find the value of the second term the n would be substituted with 2, and for the third value we will substitute n with 3.

[tex]a_{1}[/tex] = 8 x 1 + 4

[tex]a_{1}[/tex] = 8 + 4

[tex]a_{1}[/tex] = 12

Then.......

[tex]a_{2}[/tex] = 8 x 2 + 4

[tex]a_{2}[/tex] = 16 + 4

[tex]a_{3}[/tex] = 20

And finally .......

[tex]a_{3}[/tex] = 8 x 3 + 4

[tex]a_{3}[/tex] = 24 + 4

[tex]a_{3}[/tex] = 28

Answer:

Option 1 and the bottom right answer.

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

6x+4x-6=24+9x

combine like terms

10x-6=24+9x

add 6 on both sides

10x=30+9x

subtract 9x on both sides

x=30

Hope this helps! :)

Answer:

Skewed to the left

Step-by-step explanation:

In pearson mode skewdness, the mean, mode and median are used to determine if we have a positive or negative skewed distribution.

Now, If the mean is greater than the median, it means that the distribution is positively skewed and therefore skewed to the right. However, If the mean is less than the median, it means that the distribution is negatively skewed and therefore skewed to the left.

In our question, the median is 85 and mean is 78. Thus, it means median is greater than the mean and as such, the distribution isnegatively skewed and therefore skewed to the left.

Answer:

x = -2

Step-by-step explanation:

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

Answer:

i dont see the question

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

-20+70=50

Answer:

3600 beats

7800-4200=3600

Hello!

[tex]\large\boxed{\frac{dy}{dx}logx = \frac{1}{xln10} }[/tex]

Recall that:

[tex]logx[/tex] can be rewritten as:

[tex]log_{10}x[/tex]

Use the equation for the derivative of a log expression:

[tex]\frac{dy}{dx}log_{a}u = \frac{1}{ulna} * u'[/tex]

Substitute in the values in the expression:

[tex]logx = \frac{1}{xln10} * 1 = \frac{1}{xln10}[/tex]

Answer:

%12.5

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

What is my perfect crime? I break into Tiffany's at midnight. Do I go for the vault? No, I go for the chandelier. It's priceless. As I'm taking it down, a woman catches me. She tells me to stop. It's her father's business. She's Tiffany. I say no. We make love all night. In the morning, the cops come and I escape in one of their uniforms. I tell her to meet me in Mexico, but I go to Canada. I don't trust her. Besides, I like the cold. Thirty years later, I get a postcard. I have a son and he's the chief of police. This is where the story gets interesting. I tell Tiffany to meet me in Paris by the Trocadero. She's been waiting for me all these years. She's never taken another lover. I don't care. I don't show up. I go to Berlin. That's where I stashed the chandelier.

.6 cups of flour Step-by-step explanation:

The approximate arc length is,

⇒ s = 3.665  units

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, We know that;

The arc length (s) is given by,

⇒ s = r·θ

Here, We have;

r = 1

θ = 7π / 6

Hence, We get;

s = 1 × 7π/6

s = 3.665  units

Thus, The approximate arc length is,

⇒ s = 3.665  units

Learn more about the circle visit:

https://brainly.com/question/24810873

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Answer:

The first one is 13/20 second one is 13/25 and the third is equally likely

Step-by-step explanation:

Answer:

f(x)= 19-5(-3)

19+15

f(x)=34

Step-by-step explanation:

Step-by-step explanation:

16 because 128 divided by 8 is 16

Answer:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Step-by-step explanation:

Given

[tex]m = \frac{1}{15}[/tex] -- Slope

[tex](x_1,y_1) = (3,-5)[/tex] --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute values for y1, x1 and m

[tex]y-(-5) = \frac{1}{15}(x - 3)}[/tex]

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Hence, the equation in point slope form is:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

Solving further to represent the equation in slope-intercept form, we have:

[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]

[tex]y+5 = \frac{1}{15}x - \frac{1}{15}*3[/tex]

[tex]y+5 = \frac{1}{15}x - \frac{1}{5}[/tex]

Make y the subject

[tex]y= \frac{1}{15}x - \frac{1}{5}-5[/tex]

[tex]y= \frac{1}{15}x - (\frac{1}{5}+5)[/tex]

[tex]y= \frac{1}{15}x - (\frac{1+25}{5})[/tex]

[tex]y= \frac{1}{15}x - (\frac{26}{5})[/tex]

[tex]y= \frac{1}{15}x - \frac{26}{5}[/tex]

Answer:

the smallest number of equally sized pieces is 20

Step-by-step explanation:

The computation of the smallest number of equally sized pieces is as follows:

Given that

The sum of 1 by 5 and 3/4

Now

if we sum it

= 1 ÷ 5 + 3 ÷ 4

= 4 + 15 ÷ 20

= 19 ÷ 20

Now as if we do the lcm so the denominator sum be 20

Therefore the smallest number of equally sized pieces is 20

Answer:

A (0,0)

Step-by-step explanation:

y - 3x < 1

0 - 3(0) < 1

0 < 1

Answer:

50%

Step-by-step explanation:Since there is a 0.5 chance of the coin landing on heads add a zero and take off the .0 and you get 50%.

Answer:

50%

Step-by-step explanation:

The theoretical probability to get either heads or tails is 0.5 (or 50 percent). The probabilities of all possible outcomes should add up to 1 (or 100 percent), which it does.

Answer:

x= 5.25

Step-by-step explanation:

You have to get x alone, so do inverse operations.

(Basically, reverse what it is)

4(x-3)=9

divide 4 by both sides to get rid of 4 on left side

9/4 = 2.25

(x-3) = 2.25

Now add 3 to both sides, to get x alone

2.25 + 3 = 5.25

x=5.25

Check work

4(5.25-3) = 9

4(2.25) = 9

9=9

Answer:

That answer is 1.814

Step-by-step explanation: