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son4ous [18]
2 years ago
6

How does stress affects rocks

Mathematics
1 answer:
Furkat [3]2 years ago
8 0
By the environment, the sun, the temperature, push, pulling
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An SRS of ten brands of breakfast cereals is tested for the number of calories per serving. The following data result: 185, 190,
Pepsi [2]

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm t\frac{s}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • t is the critical value.
  • n is the sample size.
  • s is the standard deviation for the sample.

From the sample and the significance level of 0.05, we have that the parameters are given by:

\overline{x} = 205.5, s = 14.2, n = 10, t = 2.2622

Hence:

\overline{x} - t\frac{s}{\sqrt{n}} = 205.5 - 2.2622\frac{14.2}{\sqrt{10}} = 195.3

\overline{x} + t\frac{s}{\sqrt{n}} = 205.5 + 2.2622\frac{14.2}{\sqrt{10}} = 215.7

The 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

More can be learned about the t-distribution at brainly.com/question/16162795

8 0
2 years ago
In the figure if angleACB = angleCDA, AC = 8 cm and AD= 3 cm, then BD is<br>​
tatiyna

Answer:

AC = 8 cm,

AD = 3 cm and ∠ACB = ∠CDA

From figure,

∠CDA = 90°

∴ ∠ACB = ∠CDA = 90°

In right angled ∆ADC,

AC2 = AD2 + CD2

⇒ (8)2 = (3)2 + (CD)2

CD2 = 64 – 9 = 55

⇒ CD = √55 cm

In ∆CDB and ADC.

∠BDC = ∠AD [each 90°]

∠DBC = ∠DCA [each equal to 90°-∠A]

∴ ∠CDB ∼ ∆ADC

Then,

6 0
2 years ago
Which rule describes the x-coordinates in the translation below?.
rosijanka [135]

9514 1404 393

Answer:

  (a)  x + 0

Step-by-step explanation:

When translation is up or down, the x-coordinate doesn't change. It will be ...

  x + 0

6 0
2 years ago
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The midpoint of AB is M(4, 1). If the coordinates of A are (2, 8), what are the coordinates of B?
Lisa [10]

Answer:

B (6 , 0)

Step-by-step explanation:

(2,8)      Add 2 to x-axis and subtract 1 from y-axis

(4,1)

(6,0)

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2 years ago
Rick serves his community as a firefighter. he works for a full 24 hours and then is off for the next 48 hours before his next 2
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Answer: D. $24.30

Step-by-step explanation:

I'm not completely sure.

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