Answer:
103°
Step-by-step explanation:
Let's take the 3rd angle as θ:
Since all the angles in a triangle add up to 180°,
57 + 20 + θ = 180
77 + θ = 180
θ = 180 - 77
= 103°
Hence, the third angle is 103°
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Dang...H0: μ = 115
HA: μ ≠ 115
Sample mean = 120
Standard deviation = 25
Standard error of mean = σ / √ n
Standard error of mean = 25 / √ 100
SE = 25/10
Standard error of mean 2.5
z = (xbar- μ ) / SE
z = (120-115) / 2.5
z = 2
p-value = 2 P( z > 2) = 2(0.0228) = 0.0456
the data are statistically significant at level = .05, but not at level = .01.
2)
H0: μ = 115
HA: μ ≠ 115
Sample mean = 119
Standard deviation = 25
Standard error of mean = σ / √ n
Standard error of mean = 25 / √ 100
SE = 25/10
Standard error of mean 2.5
z = (xbar- μ ) / SE
z = (119-115) / 2.5
z = 1.6
p-value = 2P( z > 1.6) = 2(0.0548) =0.1096
3)
a statement about the population the researcher suspects is true, and is trying to find evidence for.
4)
Sample mean = 80
Standard deviation = 20
Standard error of mean = σ / √ n
Standard error of mean = 20 / √ 100
SE = 20/10
The Standard error of mean 2
Confidence interval 80-(2)(1.645)
and 80+(2)(1.645)
(76.7, 83.3)
Substitute x = -2 in the equation
y = 2/3x + 3
y = (2/3 x 2) + 3
y = 13/3
answer is choice D
Complete Question
The complete question is shown on the first uploaded image
Answer:
The first option is the correct option
Step-by-step explanation:
From the question w are told that
The value of shares for A&D in 2 years is
$150
The value of share for peer comms Ltd is
$275
The number of more share that you can buy fro A&D compared to peers comms Ltd is
$125
Group like terms then
add like terms
d-2d-10+7=8-10+d
-d-3=-2+d
add d to both sides
-3=-2+2d
add 2 to both sides
-1=2d
divide both sides by 2
-1/2=d