Complete question :
Cyber Monday Shopping A survey of 1000 U.S. adults found that 33% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 95% confidence interval of the true proportion.
Answer:
(0.301 ; 0.359)
Step-by-step explanation:
Sample size, n = 1000
Phat = 0.33
(1 - phat) = 1 - 0.33 = 0.67
Zcritical at 95% = 1.96
Confidence interval :
Phat ± margin of error
Margin of Error = Zcritical * sqrt[(phat(1 - phat)) /n]
Margin of Error = 1.96 * sqrt[(0.33 * 0.67) / 1000]
Margin of Error = 1.96 * 0.0148694
Margin of Error = 0.0291440
Lower boundary = (0.33 - 0.0291440) = 0.300856
Upper boundary = (0.33 + 0.0291440) = 0.359144
(0.301 ; 0.359)
Answer:
x²=5-x
x²+x-5=0
1x²+1x²-5=0
[ax²+bx²+c=0]
∆=b²-4ac
∆=1²-4(-5)(1)=1+20=21
x=(-b±√∆)/2a
x=(-1±√21)/2
meaning:
x=(-1+√21)/2 or x=(-1-√21)/2
Use the points and do y2-y1 divided by x2-x1
You will get -2 which is the m (slope)
Substitute one of the points into the y and x to get the b (y-intercept)
You will get -6
Put everything into the equation
y=-2x-6
Answer:
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Find the approximate length of arc s
we know that
The circumference of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the length of arc for a central angle of 330 degrees
----> exact value
assume
----> approximate value
Answer:
A) Obtuse.
Step-by-step explanation:
Angles of value between 90 and 180 degrees are called obtuse.
