8 x 615 is 4920.
615
x. 8
______
put a 4 above the one and a 1 above the 6.
Solution :
Let x be student will be left handed
P = 0.09
Using the normal approximation to binomial distribution,
a). n = 108,
μ = np = 9.72
= 2.9741
Required probability,
P(x=8) = P(7.5 < x < 8.5)
Using z table,
= P(z<-0.41)-P(z<-0.75)
= 0.3409-0.2266
= 0.1143
b). P(x=12) = P(11.5 < x < 12.5)
Using z table,
= P(z< 0.94)-P(z< 0.60)
= 0.8294 - 0.7257
= 0.1006
Answer:
C. 0.6625 square inches
Step-by-step explanation:
To get the area of the net of a square pyramid;
We need to find the are of the square base and the area of the four triangles;
Area of the square base = s²
= (0.25 in)²
= 0.0625 in²
Area of one triangle = 0.5 × b × h
= 0.5 × 0.25 in × 1.2 in
= 0.15 in²
Area of the four triangles = 0.15 in² × 4
= 0.6 in²
Therefore;
Area of the net square pyramid = 0.0625 in² + 0.6 in²
= 0.6625 square inches
Answer:
Angle A = 19
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If angle A and angle B are vertical angles and vertical angles are congruent then angle A = angle B
If angle A = 3x + 13 and angle B = 5x + 9 then 3x + 13 = 5x + 9
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
3x + 13 = 5x + 9
Step 1 subtract 3x from both sides
Outcome: 13 = 2x + 9
Step 2 subtract 9 from both sides
Outcome: 4 = 2x
Step 3 divide both sides by 2
Outcome: x = 2
Now to find Angle A
All we have to do to find the measure of angle a is simply substitute 2 for x in it's given expression ( 3x + 13 )
Substitute 2 for x
Angle A = 3(2) + 13
Multiply
Angle A = 6 + 13
Add
Angle a = 19
Answer:
increase; decrease
Step-by-step explanation: