Answer:
<u>Given:</u>
- 2x + 9 < 0 ⇒ 2x < - 9 ⇒ x < - 4.5
- x > -12
<u>Combined we have:</u>
<u>The integers in the same interval are:</u>
- x ∈ {-11, -10, -9, -8, -7, -6, -5}
Answer:
u = 5.176 oz
Step-by-step explanation:
Given:
standard deviation = 0.4
P(x>6) = 2℅ = 0.02
The complement role:
P(A°) = P(not A)
= 1 - P(A)
P(x<6) = 1, P(x>6) = 1 = 0.02 =
= 1-0.02 = 0.98
Taking the closest probability 0.9893 which is on row 2.0 column .06 in the probability table, we now have a z score of
2.0 + 0.06 = 2.06
Zo = 2.06
Therefore, Z score is expressed as
Zo = (x -u) / sd
We already know Zo = 2.06
x = 6
u = ?
sd = 0.4
Therefore,
2.06 = (6 - u) / 0.4
= 2.06 * 0.4 = 6 - u
u = 5.176
Answer:
x=67
y=113
z=50
Step-by-step explanation:
x=180-28-85=67
y=180-67=113
z=17+113=50
Answer:
The fraction of horses that are Morgan's=17/20
Step-by-step explanation:
Step 1: Determine fraction for each breed
Arabians=1/4
Thoroughbreds=2/5
Morgan's=unknown
Step 2: Express each breed as a fraction of the total
Number of Arabians=fraction of Arabians×total number of horses
Let total number of horses be x
Arabians=(1/4)×x=1/4 x
Thoroughbreds=(2/5)×x=2/5 x
Morgans's=m
Step 3: Calculate fraction of Morgans
Total number of horses=Arabians+Thoroughbreds+Morgans
x=(1/4)x+(2/5)x+m
solve for m;
m=x-(1/4)x-(2/5)x
m=x-3/20x
m=17/20 x
The fraction of horses that are Morgan's=17/20
Using the distributive property with FOIL:
(3n + 2) ( n + 3)
3n² + 9n + 2n + 6
3n² + 11n + 6
