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Alex17521 [72]
3 years ago
15

Could I get help with this it is geometry

Mathematics
1 answer:
aev [14]3 years ago
5 0
M<TSA=110degress
marcTR = 210
marcQUE=210
m<TSR=210 degrees
marcTRA=150 
marcEY=110
because the central angles are equal to the given arcs in a circle and it is not indicating to the length of circle.
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Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0
pshichka [43]

Answer:

(a) The value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

<em>H₀</em>: <em>μ</em> = 74 vs. <em>Hₐ</em>: μ < 74.

The information provided is:

<em>σ</em> = 7

<em>n</em> = 25

As the population standard deviation is known, we will use a <em>z</em>-test for single mean.

(a)

The <em>z</em>-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The <em>z</em>-score for sample mean is given by:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

If \bar x = 72.3 compute the corresponding <em>z</em>-score as follows:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

  =\frac{72.3-74}{7/\sqrt{25}}\\=-1.21

Thus, the value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b)

So the test statistic is, <em>z</em> = -1.21.

Compute the <em>p</em>-value of the test as follows:

p-value=P(Z

*Use a <em>z</em>-table.

The decision rule says to, reject the null hypothesis if the <em>p</em>-value is less than the significance level <em>α</em> = 0.01 and vice-versa.

<em>p</em>-value = 0.1131 < <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0
2 years ago
The side of one square is equal to 3m and its diagonal is equal to the side of a second square. Find the diagonal of the second
navik [9.2K]

Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3\sqrt{2} m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3\sqrt{2})^2 + ( 3\sqrt{2})^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

hope it helps you... please mark me as the brainliest..

8 0
3 years ago
Read 2 more answers
25000 rounded to the nearest ten thousand
kozerog [31]

Answer:

30000

Step-by-step explanation:

You round up because it is 5 or < making the 5 a 0 and the 2 a 3. Bringing in the extra 0's makes it 30,000

3 0
3 years ago
Read 2 more answers
Convert 86.25 into hexadecimal. ​
Romashka-Z-Leto [24]

Answer:

56.4

Step-by-step explanation:

To convert decimal number 86.25, we convert its integer and fraction part individually and then add them to get the equivalent hexadecimal number, as below:

To convert integer 86 to hexadecimal, follow these steps:

Divide 86 by 16 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get the equivalent hexadecimal number.

86 / 16 = 5 with remainder 6

5 / 16 = 0 with remainder 5

Here is the answer to 86 decimal to hexadecimal number:

56

For converting decimal fraction 0.25 to hexadecimal number, follow these steps:

Multiply 0.25 by 16 keeping notice of the resulting integer and fractional part. Continue multiplying by 16 until you get a resulting fractional part equal to zero (we calcuclate upto ten digits).

Then just write out the integer parts from the results of each multiplication to get equivalent hexadecimal number.

0.25 × 16 = 4 + 0

Here is the answer to 0.25 decimal to hexadecimal number:

0.4

Therefore, decimal number 86.25 converted to hexadecimal is equal: 56.4

8 0
2 years ago
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marie made a model (shown below) of the square pyramid she plans to build when she grows up. Find the surface area of the model.
Vladimir [108]

Answer:

55

Step-by-step explanation:

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