Answer: 3.75
Step-by-step explanation:
P=0.50, n=15
np= 0.5x15 gives 7.5
n(1-p)= 15x(1-0.5)=7.5
Both are greater than 5
Then Mean, u=np;15x0.5=7.5
Standard deviation, √np(1-p)
15x0.5(0.5)= 3.75
Answer:
The vertex would be (-3, -1)
Step-by-step explanation:
Since this is in vertex form already, a(x-h)^2+k where h is the x value of the vetex, and k is y.
We would take the opposite of +3 and get -3, which gives us our x cordinate.
We don't change the k value, so it just stays -1, giving us our y value.
Therefore, the vertex is at (-3, -1)
Hope this helps!
Answer:
m(arc CD) = 122°
Step-by-step explanation:
Since, measure of an arc = 2 × (Angle subtended by the arc at the circumference of the circle)
m(arc CD) = 2[m(∠CBD)]
By triangle sum theorem in ΔBCD,
m∠CBD + m∠BDC + m∠DCB = 180°
m∠CBD + 49° + 70° = 180°
m∠CBD = 180° - 119°
m∠CBD = 61°
Therefore, m(arc CD) = 2 × 61°
m(arc CD) = 122°
Answer:
5m + 5
Step-by-step explanation:
Simplify the expression by collecting like terms
9+5m-4
⬇️
9-4=5
⬇️ (Put back into equation)
5m+5
S=d/t
for liam
4=.25/t
t=.25/4
t=0.0625hours
for harper
t=0.25/4.5=0.055hours
msg me if it helps
