Answer:
.
Step-by-step explanation:
Given : 9,540,000
To find : Write 9,540,000 in expanded form using exponents to show powers of 10.
Solution : We have given 9,540,000
Here 9 is at million place 9000000
5 is at hundred thousand place = 500,000.
4 is at tens thousand place = 40,000
We expanded it as
9, 000,000 + 500,000+40,000.
In term of power of 10.
.
Therefore,
.
Answer:
Type I: 1.9%, Type II: 1.6%
Step-by-step explanation:
given null hypothesis
H0=the individual has not taken steroids.
type 1 error-falsely rejecting the null hypothesis
⇒ actually the null hypothesis is true⇒the individual has not taken steroids.
but we rejected it ⇒our prediction is the individual has taken steroids.
typr II error- not rejecting null hypothesis when it has to be rejected
⇒actually null hypothesis is false ⇒the individual has taken steroids.
but we didnt reject⇒the individual has not taken steroids.
let us denote
the individual has taken steroids by 1
the individual has not taken steroids.by 0
predicted
1 0
actual 1 98.4% 1.6%
0 1.9% 98.1%
so for type 1 error
actual-0
predicted-1
therefore from above table we can see that probability of Type I error is 1.9%=0.019
so for type II error
actual-1
predicted-0
therefore from above table we can see that probability of Type I error is 1.6%=0.016
Answer:
C. 9x + 224.36 ≥ 759.84
Step-by-step explanation:
If each team member raises x dollars, the 9 team members will have raised 9x dollars. That amount added to the amount they already have must equal or exceed the amount required:
9x + 224.36 ≥ 759.84 . . . . matches selection C
Answer:
180 cm²
Step-by-step explanation:
From inspection of the diagram, the surface area is made up of the area of 4 congruent triangles and the area of one square.
Area of a square = x² (where x is the length of one side)
⇒ area of the square = 6² = 36 cm²
Area of a triangle = 1/2 x base x height
⇒ area of one triangle = 1/2 x 6 x 12 = 36 cm²
Total surface area = 4 x area of one triangle + area of the square
= 4 x 36 + 36
= 144 + 36
= 180 cm²
6. The lengths of two tangent lines to a circle are equal, which can be proved using similar triangles. The perimeter is 2*(3+2+5)=10.
14. c=40 degrees, since c and the given 40 angle correspond to the same arc on the circle. b=40, since b and the given angle are alternate interior angles of two parallel lines. d=180-40-40=100 degrees. a=180-d=180-100=80 degrees.
18. a is two times the given angle according to the inscribed angle theorem. a=2*20=40. b=180-a=140. c=90 since the tangent line is perpendicular to the diameter of the circle.
19. b=85, a=95. Connect the two points on the circle near 45 degrees on the diagram. b is the sum of the two angles formed (b is the exterior angle of the small triangle), and the sum is half the central angles they correspond to, which is 360-145-45=170. So b=170/2=85, and a=180-85=95 degrees.
20. Use power of a triangle. 5*(10+5)=6(6+x), x=6.5.
