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timurjin [86]
3 years ago
15

Find the critical value of t for a sample size of 23 and a 99% confidence level. choose the correct value from below:

Mathematics
1 answer:
Kay [80]3 years ago
8 0
We can find critical value by using t - table.
For using t - table we need degree of freedom and alpha either for two tailed test or one tailed test.
We can determine degree of freedom by subtracting sample size from one.
So in given question sample size is 23. So we can say degree of freedom(df) for sample size 23 is
df = 23 - 1= 22
Now we have to go on row for degree of freedom 22.

After that we need to find alpha either for two tailed test or one tailedl test.
Confidence level is 99%. We can convert it into decimal as 0.99.

So alpha for two tailed test is 100 - 0.99 = 0.01

Alpha for one tailed test is 0.01/2 = 0.005.

So we will go on column for 0.01 for two tailed test alpha or 0.005 for one tailed test alpha.
 SO the critical value 22 degree of freedom and 0.01 two tailed alpha is 2.819 from t - table.

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AfilCa [17]
120 my boi, 3 x 4 x 10 would 120. If I am wrong please sue me for 6 sextillion atoms.
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3 years ago
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Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160°, respectively. Find the direction and
shusha [124]
Forces in direction x:
 
fx1 = 100 * cos (50) = 64.28
 fx2 = 50 * cos (160) = - 46.99
 The resultant is:
 fx = fx1 + fx2 = 17.29

 Forces in direction y:
 
fy1 = 100 * sine (50) = 76.60
 fy2 = 50 * sine (160) = 17.10
 The resultant is:
 fy = fy1 + fy2 = 93.70
 The magnitude of the resulting force is:
 
f = root (fx ^ 2 + fy ^ 2)
 f = root ((17.29) ^ 2 + (93.70) ^ 2)
 f = 95.28
 The angle is:
 
theta = atan (fy / fx)
 theta = atan (93.70 / 17.29)
 theta = 79.55 degrees
 Answer:
 
The direction and magnitude of the resultant force are:
 
f = 95.28 pounds at theta = 79.55 degrees
6 0
3 years ago
Pllzzz help I’ll mark brainliest
icang [17]

Answer:

26°

Step-by-step explanation:

AC=tan 64

BC=x=sec 64

Using sine rule

(Sin 64)/tan 64 = (sin BAC)/sec 64

Cos 64 = (sin BAC)(cos 64)

Sin BAC= 1

BAC=90

ACB+ 64+90=180

ACB= 26°

3 0
3 years ago
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Tom bought n DVDs for a total cost of 15n - 2 dollars. Which expression represents the cost of each DVD?
Gala2k [10]

A. n ( 15.n - 2 )

eg n = 2

2 ( 15.2 - 2)

2 ( 30 - 2)

2 (18)

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3 0
3 years ago
Find two numbers, if their sum is 49 and their difference is 1/2 .
amm1812

Answer:

x=24\frac{3}{4}\\ y=24\frac{1}{4}

Step-by-step explanation:

Let the two numbers be x and y

So we have:

x +y = 49\\x-y=\frac{1}{2}

using the elimination method, add the two equations together:

2x=49\frac{1}{2} \\2x=\frac{99}{2}

solve for x:

x=\frac{99}{4}\\x=24\frac{3}{4}

substitute our value for x back into the first equation we made:

x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}

therefore,

x=24\frac{3}{4}\\ y=24\frac{1}{4}

6 0
3 years ago
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