Answer:
Step-by-step explanation:
Δ PQR ~ ΔJKL ⇒ PQ : JK = PR : JL
9 : 6 = x : 8
6x = 72 ⇒ x = 12
2
3
5
7
35
so which are factors and which are not
Answer:
Factors:
1, 5, 7, 35
Non-Factors:
2, 3
Step-by-step explanation:
Answer:
5.5kg
Step-by-step explanation:
Given that in a study conducted to investigate the relationship between soda consumptions (servings per day) and weight gain (kgs) over a 2 year period and yielded the following linear regression results:
Let y = weight gains over a two year period (kg) and
x = servings of soda per day
Then the regression equation estimated is
Using this we can find unknown y for a given x.
When x =4 we get y by substituting x =4 in the equation
Weight gain = 5.5 kg.
Answer:
34.64 ft
Step-by-step explanation:
Distance from the building = 20 ft
Angle of inclination = π/3 radians
The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:
The building is 34.64 ft tall
Answer:
A
C
D
Step-by-step explanation:
Answer:
The value of x is 24.
Step-by-step explanation:
Given information: In ΔGHE, ED is angle bisector, EG=44.8 millimeters, GD=(x+4) millimeters, DH=35 millimeters, and EH=56 millimeters.
According to the angle bisector theorem, an angle bisector divide the opposite side into two segments that are proportional to the other two sides of the triangle.
In ΔGHE, ED is angle bisector, By using angle bisector theorem, we get
Multiply both the sides by 35.
Subtract 4 from both the sides.
Therefore the value of x is 24.
Answer:
x = 24
Step-by-step explanation:
The segments on either side of an angle bisector are proportional:
(x +4)/44.8 = 35/56
x +4 = 44.8·(35/56) = 28 . . . . multiply by 44.8
x = 24 . . . . . subtract 4
Answer:
The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
93% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).