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3 years ago

13

dan went to the hardware store and bought 5 yellow ropes. The total length of the ropes was 331.75 meters. How long was each rop

e?

1 answer:

faust18 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

You might be interested in

What is the image of point (-7, 7) for mapping (x, y) , (x – 1, x + 6).

Tcecarenko [31]

Well you can fill out the equation (-7-1, 7+6)
it'll give you
(-8,13)
I believe that is what you are asking for :)
Good Luck

8 0

3 years ago

Helppppppppppppppppppppppppp

Wewaii [24]

Answer:

Radius: 8

Circumference: 50.27

πr^2 = Area of circle

201.06 = πr^2

divide by pi

201.06 / π = 63.9993857161 = 64

64 = r^2

Square root both sides to get radius.

$\sqrt{64}$ = 8

r = 8

Circumference = π x diameter

Diameter = 2 x radius

Circumference = π x 16 = 50.2654824574 = 50.27

8 0

3 years ago

The area of the parallelogram shown below has an area of 72 units2

nordsb [41]

Answer:

12 units

Step-by-step explanation:

Allow me to revise your question for a better understanding and I hope it will fit the original one.

The parallelogram shown below has an area of 72 units squared. The base is 6 and the other side is 13 Find the missing height.

Here is my answer:

Given:

The area: 72 units squared.

The base: 6 units

As we know that the area of the parallelogram is represented by below formula:

A = b*h where h is the height and b is the base

In this situation, we know:

72 = 6*h

<=> h = 12

So the missing height is 12 units

Step-by-step explanation:

4 0

3 years ago

1) Lithium isotope rations are important to medicine, the 6Li/7Li ratio in a standard reference material was measured several ti

uysha [10]

Answer:

1) $0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

b) $ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

Step-by-step explanation:

Information given

0.082601, 0.082621, 0.082589, 0.082617, 0.082598

We can calculate the sample mean and deviation with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=0.0826052$ represent the sample mean

$\mu$ population mean

s=0.000013424 represent the sample standard deviation

n=5 represent the sample size

Part 1

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom, given by:

$df=n-1=5-1=4$

The Confidence level is 0.95 or 95%, and the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , the critical value would be using the t distribution with 4 degrees of freedom: $t_{\alpha/2}=2.776$

Now we have everything in order to replace into formula (1):

$0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

Part 2

The original margin of error is given by:

$ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

3 0

3 years ago

3)<br> Evaluate the expression 2x-5 when x = 3.

Shalnov [3]

Answer:

1

Step-by-step explanation:

Plug in the x to the original equation given.

2(3)-5

2 times 3 is 6 so then,

6-5 =1

4 0

3 years ago