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KengaRu [80]
2 years ago
10

Nist wants to give the buyer of this iron rod a 90% confidence interval for its true conductivity. what is this interval? (round

your answers to three decimal places.)
Mathematics
1 answer:
Tasya [4]2 years ago
6 0
The 6 measurements are 10.1, 10.02, 9.89, 10.05, 10.16, 10.21, and 10.11Mean -10.8333Sample size - 6Standard dev is 0.1Alpha is 1 – 0.90 Z (0.1) = 1.645So the computation would be:Mean ± Z* s/sqrt (n)= 10.0833 ± 1.645*0.1/sqrt(6)= 10.0833± 1.645*0.0408= 10.0833± 0.0672=10.0161, 10.1505 is the interval.90% confident that the iron rod’s true conductivity is between 10.0161 and 10.1504 microsiemens per centimeter.
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Cherie is jogging around a circular track. She
skelet666 [1.2K]

Answer:

Measure of minor angle JOG is 95.5^{\circ}

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.  

\therefore m JG = 200 yards, JO=120 yards.  

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle \angle JOG = \theta.

To calculate the central angle, use the arc length formula as follows.  

Arc\:Length\left(s\right) = r\:\theta  

Where \theta is measured in radian.

Substituting the value,

200=120\:\theta  

Dividing both side by 120,

\dfrac{200}{120}=\theta  

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

\therefore \dfrac{5}{3}=\theta  

Therefore value of central angle is \angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}, since angle is in radian

Now convert radian into degree by using following formula,

1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}

So multiplying \theta with \left(\dfrac{180}{\pi}\right)^{\circ} to convert it into degree.

\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}

Simplifying,

\therefore \theta = 95.49^{circ}

So to nearest tenth, \angle JOG=95.5^{circ}

8 0
3 years ago
if you save three pennies on January 1, six pennies on January 2, nine pennies on January 3, and continue this pattern for one y
Katarina [22]

Answer:

2003.85

Step-by-step explanation:

I realize I'm a year late, but the math of the previous answer was so terrible I'm honestly too horrified to let this be.

You have save by an increasing amount of 3 pennies per day. You start with 3 and build from that, each day, for 365 days. First, you must figure out what amount of pennies you shoved into your account on the final 365th day.

An= a1+(n-1)d

An=term you want

a1= term you begin with

n= term you want

d= constant amount

A_365= 3 + (365-1)*3

A_365= 1095

Arithmetic Sum: Sn = N/2 (a1 + an)

365/2 * (3 + 1095) = 200385.

This means you've invested a total of 200385 PENNIES after 365 days.

The question asks for dollars, not your rusting lincoln's.

As (I hope) you know, 1 Dollar = 100 pennies

200385 pennies/100 = 2003.85.

This means you have $2003.85 in your account by the conclusion of the 365th day.

4 0
3 years ago
About what distance in feet would a person be 8 seconds after experiment begins
wel

is this the full question?

8 0
3 years ago
Find the sum. then use commutative property of addition to write the related sentence
adelina 88 [10]
Addition is defined as one of the main basic operation of mathematics. Addition is also defined as the process of adding one of more numbers. For the addition operation, there are many number of properties used. In that, one of the property is known as the commutative property of addition. It states that the change of order does not change the value of addition. Commutative property of addition is true for all types of numbers including imaginary numbers. So you can pretty much use any numbers ex.2 + 3 = 3 + 2
4 0
3 years ago
What is the answer? x+300=500 Will mark brainliest for high quality answers
cestrela7 [59]

Answer: x=  

3

500

​  

=166.667

Step-by-step explanation:

This deals with adding, subtracting and finding the least common multiple.

7 0
2 years ago
Read 2 more answers
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