A) 55 degrees.
The two red slashes show that both angle x and the 55 degree angle are congruent.
Answer:
√160
Step-by-step explanation:
For y-intercept, we use y = mx + c. Comparing both, y = mx +c & y = 3x + 12
y intercept = c = 12
Point is (0, 12)
For x intercept, we use y = m(x - d). We have
y = 3x + 12 → y = 3(x - (-4))
Compare both, x intercept = d = - 4
Point is (-4, 0)
Using distance formula,
Distance = √(0-12)² + (-4-0)² = √12²+4²
Distance = √144+16 = √160
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if they are optional
all are correct
<h3>step by step instructions:</h3>
Correct option is
D
All are correct
the equation of a given progressive wave is
y=5sin(100πt−0.4πx) ......(i)
The standard equation of a progressive wave is
y=asin(ωt−Kx) ...(ii)
Comparing (i) and (ii), we get
a=5m,ω=100π rad s
−1
,k=o.4πm
−1
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The modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
<h3>Define the term adjusted r squared?</h3>
R-squared (R2) would be a statistical measure that quantifies the proportion of the variation explained from an independent variable other variables within a regression model for a dependent variable.
- R-squared describes how much the variance with one variable describes the variance of the other.
- So, if a model's R2 is 0.50, the model's inputs can explain roughly half of a observed variation.
- A score of 70 to 100 shows that a specific portfolio closely reflects the underlying stock index, whereas a score of 0 to 40 indicates a relatively poor correlation the with index.
- Higher R-squared scores also suggest that beta measurements are more reliable. The volatility of either a security or portfolio is measured by beta.
Thus, the modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
To know more about the adjusted r squared, here
brainly.com/question/14364216
#SPJ4
Step-by-step answer:
assuming the true-false test have equal probabilities (each 0.5), we can use the binomial probability to calculate the sum of probabilities of getting 10, 11 or 12 questions correctly out of 12.
p=probability of success = 0.5
N=number of questions
x = number of correct answers
then
P(x) = C(N,x)(p^x)((1-p)^(N-x))
where C(N,x) = N!/(x!(N-x)!) = number of combinations of taking x objects out of N.
P(10) = C(12,10)(0.5^10)((1-0.5)^2) = 33/2048 = 0.01611
P(11) = C(12,11)(0.5^11)((1-0.5)^1) = 3/1024 = 0.00293
P(12) = C(12,12)(0.5^12)((1-0.5)^0) = 1/4096 = 0.00024
for a total probability of 79/4096 = 0.01929
