Answer:
11+2x
Step-by-step explanation:
5+6=11
4x-2x=2x
Answer:
21.759
Step-by-step explanation:
Given that :
Mean (m) = 25
Standard deviation (s) = 12.5
Sample size (n) = 40
α = 90%
The confidence interval is obtained using the relation:
Mean ± Zcritical * s/sqrt(n)
Zcritical at 90% confidence interval = 1.64
25 ± 1.64 * (12.5/sqrt(40))
Lower boundary : 25 - 1.64(1.9764235) = 21.75866546
Upper boundary : 25 + 1.64(1.9764235) = 28.24133454
(21.759, 28.241)
Hence, lower bound of confidence interval is : 21.759
i think it will make it smaller due to the base being longer which stretches out the two sides and makes less space inside of the triangle
<h2>
The required "option B) 60°" is correct.</h2>
Step-by-step explanation:
In question figure,
∠ YUV = 40°, ∠ XUY = 105° and ∠WUX = 155°
To find, the value of ∠ VUW = ?
We know that,
The circle having 360°
∴ ∠ VUW + ∠ YUV + ∠ XUY + ∠WUX = 360°
⇒ ∠ VUW + 40° + 105°+ 155° = 360°
⇒ ∠ VUW + 300° = 360°
⇒ ∠ VUW = 360° - 300°
⇒ ∠ VUW = 60°
∴ The value of ∠ VUW = 60°
Hence, the required "option B) 60°" is correct.
Answer:
A) 4
Step-by-step explanation:
There are a couple of ways to get this but this is how I did it:
1. Multiply the second equation by 1/4 to get the same fraction for y as the one in the first equation
1/4 x + 1/8 y = 2
1/4 (1/3 x + 1/2 y = 4)
1/12 x + 1/8 y = 1
2. Subtract the first equation from the new equation
1/12 x + 1/8 y = 1
<u> - 1/4 x - 1/8 y = -2</u>
-1/6 x= -1
3. Divide both sides by -1/6
<u>-1/6</u> x= <u>-1</u>
-1/6 -1/6
x = 6
4. Substitute 4 in for x in the original equation:
1/4 (6) + 1/8y = 2
6/4 + 1/8y = 2
1/8y = 1/2
y = 4
