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leonid [27]
3 years ago
14

Please help me!

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
4 0

T(m) = 0.25m

Hope this helps! ;)

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Historically, these bolts have an average thickness of 10.1 mm. A recent random sample of 10 bolts yielded these thicknesses:
Akimi4 [234]

Answer:

a) Sample mean = 9.99

Sample standard deviation = 0.3348

b) -1.0389

c) 0.1631

Step-by-step explanation:

We are given the following in the question:

9.7, 9.9, 10.3, 10.1, 10.5, 9.4, 9.9, 10.1, 9.7, 10.3

a) sample mean and standard deviation

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{99.9}{10} = 9.99

Sum of squares of differences = 1.009

S.D = \sqrt{\dfrac{1.009}{9}} = 0.3348

b) observed value of the t-statistic

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{9.99 - 10.1}{\frac{0.3348}{\sqrt{10}} } = -1.0389

c) probability of these statistics (or worse) if the true mean were 10.1 mm

Degree of freedom =  n - 1 = 9

Calculating the value from the table

P(x < 9.99) = 0.1631

0.1631 is the the probability of these statistics (or worse) if the true mean were 10.1 mm

8 0
3 years ago
What is the first term in this expansion? a 2x15 b 215x15 c 10y15 d 1015y15
Oduvanchick [21]

Answer:

2^15x^15 is the correct answer.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Who wants to help me with my homework? <br><br>anyone please? <br>​
kobusy [5.1K]

Answer:

Okay I can help you to do your homework.

5 0
3 years ago
What is the value of A when we rewrite 1.44^1.2x as A^x​
Lina20 [59]

Answer:

a = 0.64

Step-by-step explanation:

hope that helped

3 0
2 years ago
Please help this is due tomorrow
Lostsunrise [7]

\sf \left(\dfrac{1}{7}\right)^3\ is\ basically\ like\ saying\ you're\ multiplying\ \dfrac{1}{7}\ by\ \dfrac{1}{7},\ three\ times.

\implies\ \sf \dfrac{1}{7}\ \times\ \dfrac{1}{7}\ \times\ \dfrac{1}{7}\\\\\\\implies\ \dfrac{1}{343}

Therefore, (1/7)³ = 1/343, implying that the answer is option (D).

Hope it helps. :)

7 0
3 years ago
Read 2 more answers
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