The formula for finding the area of a triangle is A = 1/2bh. A triangle has height 12 in. and area 54in^2. What is the length of its base?

Answer:

(19228.737 ; 20771.263)

Step-by-step explanation:

Given that:

Sample size, n = 17

Sample mean, m = 20,000

Sample standard deviation, s = 1500

α = 95%

The confidence interval,

Mean ± margin of error

Margin of Error : Tcritical * s/sqrt(n)

Tcritical at α = 0.05 ; df = n-1 = 17 - 1 = 16 ; 2 - tailed test = 2.120

Margin of Error = 2.120 * 1500/sqrt(17) = 771.263

Lower boundary :

20,000 - 771.263 = 19228.737

Upper boundary :

20,000 + 771.263 = 20771.263

Confidence interval :

(19228.737 ; 20771.263)

Step-by-step explanation:

slope = 2-4/2-1 = -2

y - 2 = -2(x - 2)

y-2 = -2x +4

y = -2x + 6

Answer:

y = -2x + 6

Step-by-step explanation:

(y-4)/(2-4) = (x-1)/(2-1)

(y-4)/(-2) = x-1

y-4 = -2x +2

y = -2x + 6

Answer:

2 different arrangments

Answer:

4/14 x 4/14 x 4/14 x 4/14 = 256/38416

Step-by-step explanation:

There are 4 green marbles

3 red marbles

7 yellow marbles

Altogether = 4 + 3 + 7 = 14

Probability of picking a green marble 1st = 4/14

Probability of picking a green marble 2nd = 4/14

and you still have 2 more green marbles in the bag, so it will look like this:

4/14 x 4/14 x 4/14 x 4/14 = 256/38416

Answer:

8 cups is bigger

Step-by-step explanation:

3 pints = 6 cups

6 < 8

9514 1404 393

Answer:

  x ≈ 1.796322 . . . in all cases

Step-by-step explanation:

For Newton's method iteration, we like to use a function such that we are finding a zero of the function. Here, this means we want to rearrange the equation to ...

  f(x) = x^3 -x -4

so that we are finding x for f(x) = 0.

The iterator is ...

  next x = x - f(x)/f'(x) . . . . . where f'(x) is the first derivative

Many graphing calculators can accept the notation f'(x), so we do not actually have to determine the derivative algebraically. In the first attachment, we have used the function f1(x) to compute the next iteration value ("next x").

__

a) In the first attachment, we have used a math package to define the function, the iterator, and an accumulator of iteration values. The N[ ] function causes the display of 7 significant digits. Computations are performed to 30 significant digits. Starting values are the third argument from the right end of the expression doing the computation. They are 1, 6/10, 57/100.

It shows that it takes 6 iterations starting from x=1 to get to 6 decimal places of accuracy. The 7th iteration is computed so that we can compare the first 6 decimal places. The final iteration gives a value of x of 1.796322.

We know that Newton's method converges quadratically (from a close-enough starting point), so 4 good decimal digits in the 5th iteration can be expected to become 8 good decimal digits in the 6th iteration. That is, if two iterations agree in the first 3 decimal digits, then the second of those can generally be considered accurate to at least 6 decimal digits.

__

b) Starting from x=0.6, more iterations are required. The attachment shows that 6-decimal place accuracy is achieved in 13 iterations. More iterations are required because the starting point is closer to the function turning point, so initial iterations tend to diverge from the root.

__

c) Starting from x=0.57, 20 iterations are required. This starting point is on the wrong side of the turning point of the function, so the initial iteration sends the computation a significant distance in the wrong direction.

__

d) The graph and tangent lines are shown in the second attachment. Successively smaller starting values have tangents with successively smaller slopes.

Answer:

Step-by-step explanation:

Top question

Take 150000*.15 and get 22500, Then 150000-22500=127500

Question two

Take 1/3*9000=3000

9000-(9000*1/3)

Answer:

c

Step-by-step explanation:

Answer:

x^2 - 6x + 8 x - 2

x

0 8 -2

1 3 -1

2 0 0

3 -1 1

4 0 2

5 3 3

The solutions are in red ⇒ x = 2 and x = 5

Answer:

x = 107

Step-by-step explanation:

If x = 107,

(9 x 107) - (8 x 107) = 107

Then x must be 107.

Answer:

b

Step-by-step explanation:

Answer:

b is the answer

Step-by-step explanation:

if you look at the graph chart you will notice that b lines up with negative 4 and positive 2

Answer:

(B) (0.396, 1.712)

Step-by-step explanation:

From the information given;

Confidence Interval = 0.95

Significance Level [tex]= 1 - 0.95 = 0.05[/tex]

The confidence interval for regression coefficient beta (whereby in this case it is the coefficient of the diameter) is expressed by:

= [tex]( Beta ^- \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ), Beta^+ \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ))[/tex]

From the regression coefficient, the estimated value of beta^  = 1.054

[tex]= (1.054 - t_{29,0.025} *(0.322), 1.054 + t_{29,0.025}*(0.322))[/tex]

[tex]t_{229,0.025} = 2.0452\\\\ = \mathbf{(0.396, 1.712)}[/tex]

Answer:

In the last task, the result is 17+3x/6

Step-by-step explanation:

X+5/3 - 2x-7/6 + x/2

2(x+5)-(2x-7)+3x /6

2x+10-2x+7+3x /6

17+3x/6

I dunno this task above, I hope this one is correct :))

Step-by-step explanation:

Length = 19cm

Length is 5cm more than breadth i.e.

Breadth = 19 - 5 = 14cm

Area = Length x Breadth

= 19 x 14

= 266cm²

Answer:

for 5 i got 1,4,-2 and for 6 i got -4,-1,1

Step-by-step explanation:

Answer:

5. Zeros: -2,1,4

6. Zeros: -4,-1,1

Step-by-step explanation:

Set x to 0, plug in and solve.

2787.64 is the volume..

Answer:

The answer is 75.36......

Answer:

An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Only 2 of the 11 companies were planning to increase their workforce

This means that [tex]n = 11, \pi = \frac{2}{11} = 0.182[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331[/tex]

An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.

Answer:

1 1/10

Step-by-step explanation:

Hope this helps

Happy Easter!

May the Lord bless you

Have a nice day!

:)

Let 2_3/4 be 11/4.

We now have 2/5 * 11/4.

(numerator times numerator)/(denominator times denominator).

(2 * 11)/(5 * 4)

22/20

We can now reduce this fraction to the lowest terms.

The greatest factor of 22 and 20 is 2.

22 divided by 2 = 11.

20 divided by 2 = 10.

Answer: 11/10

9514 1404 393

Answer:

  $100

Step-by-step explanation:

We assume you're interested in the revenue collected by the food truck.

  6 1/4 pizzas = (6·4+1)/4 = 25/4 = 50/8 pizzas = 50×(1/8 pizza)

If each 1/8 pizza slice is sold for $2, then the revenue is ...

  50 × $2 = $100 . . . . revenue from 6 1/4 pizzas

Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.

Given points,

We have :

[tex] \red\bigstar[/tex]Midpoint of two points:-

Now, refer to the attachment.

Learn more from brainly :

Answer:

A (4,3)

Step-by-step explanation:

J is inside the parallelogram.

K is indside a trapezium.

So we want to find the coordinates of point J.

Reading from the scales, point J is x = 4 and y = 3.

Writing our answer in the form (x, y) coordinates of J are: (4,3)

Answer:

D and E are the answers

Step-by-step explanation:

Hope that helps!

Answer:

9/13

Step-by-step explanation:

The ratio of

do not wear glasses : those who do wear glasses = 9 / 13

Be sure and keep the numbers opposite their descriptions.

9 is across from those who wear glasses

13 is across from those who do not wear glasses.

Answer:

20% profit

Step-by-step explanation:

(1800-1500) / 1500 = 0.2

so 20% profit

Answer:

20% profit

Step-by-step explanation:

Hope this helps