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Lelu [443]
3 years ago
15

Find C. Round to the nearest tenth

Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer:

Step-by-step explanation:

c^2=a^2+b^2-2abcosC

cosC= (a^2+b^2-c^2)/(2ab)

C=arccos[(a^2+b^2-c^2)/(2ab)]

C=arccos(90^2+55^2-50^2)/(2(90)55)

C=arccos(8625)/(9900)

C=29.4 degrees

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A sample of 56 research cotton samples resulted in a sample average percentage elongation of 8.63 and a sample standard deviatio
ss7ja [257]

To solve for the confidence interval for the true average percentage elongation, we use the z statistic. The formula for confidence interval is given as:

Confidence interval = x ± z σ / sqrt (n)

where,

x = the sample mean = 8.63

σ = sample standard deviation = 0.79

n = number of samples = 56

 

From the standard distribution tables, the value of z at 95% confidence interval is:

z = 1.96

 

Therefore substituting the known values into the equation:

Confidence interval = 8.63 ± (1.96) (0.79) / sqrt (56)

Confidence interval = 8.63 ± 0.207

Confidence interval = 8.42, 8.84

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5 0
3 years ago
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
kirza4 [7]

Okay follow these patterns and you will always get your answer

Cone = (13)πr2h, where r is the radius and h is the height.

Cube = s2, where s is the length of the side.

Cylinder = πr2h, where r is the radius and h is the height.

Rectangular prism= l×w×h, where l is the length, w is the width and h is the height.

Sphere = (43)πr3, where r is the radius.

ANSWER: (D) 904.78 cm^3

5 0
3 years ago
Ellie is an African elephant. When she was born, she weighed about 200 pounds. As an adult, she weighs 7 tons! How many pounds d
wariber [46]

Answer:

13,800 pounds

Step-by-step explanation:

one ton = 2000 pounds

7 tons = 14,000 pounds

14,000 - 200 = 13,800 pounds

5 0
2 years ago
. a) In a group of 75 students, 20 liked football only, 30 liked cricket only and 18 did not like any of two games? (i) How many
qaws [65]

i)50

<u>Steps</u>

30+20=50

ii)7

<u>Steps</u>

75-(30+20)-18

=75-(50)-18

=7

iii)20

<u>Steps</u>

From the available data from the question

iv)30

<u>Steps</u>

From the available data from the questionl

v)From the attcged image file

4 0
2 years ago
For f left parenthesis x right parenthesis equals StartRoot x EndRoot and g left parenthesis x right parenthesis equals 4 x plus
lara31 [8.8K]

Answer:

Step-by-step explanation:

Given that there are two functions f and g as

f(x) = \sqrt{x} \\g(x) =4x+9

We have to find the composition of functions.

Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.

a)fog= f{g(x)} =f(4x+9) = \sqrt{4x+9}

b) gof = g{f(x)} = g(\sqrt{x} )=4\sqrt{x} +9

c) fof = f(\sqrt{x} ) = \sqrt[4]{x}

d) gog = g(4x+9) = 4(4x+9)+9\\= 16x+45

4 0
3 years ago
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