Create an expression. Solve for x
22+66x=66+33x
Subtract 33x from both sides
22+33x=66
Subtract 22 from both sides
33x=44
Divide both sides by 33
x=44/33=4/3 or 1.3 hours
Answer:
9927.5$
Step-by-step explanation:
4.5% 0f 9500 is 427.5$ which is growing in 5 years. thats the best explanation i can give.
Answer:
m<4 = 34°
Step-by-step explanation:
m<2 = 34° (given)
m<3 + m<2 = 180° (linear pair)
m<3 + 34° = 180° (substitution)
Subtract 34° from each side
m<3 = 180° - 34°
m<3 = 146°
m<4 + m<3 = 180° (linear pair)
m<4 + 146° = 180° (substitution)
Subtract 146° from each side
m<4 = 180° - 146°
m<4 = 34°
This shows that vertical angles are congruent.
m<2 and m<4 are vertical angles formed when two straight line intersects. They are both of equal measure.
Answer:
$45.00-$10.00=$35.00
2.50x14= $35.00
Therefore he bought 14 student tickets
Answer:
23%<x<43%
Step-by-step explanation:
The formula for calculating confidence interval is expressed;
Confidence Interval = p ± z√p(1-p)/n
n is the sample size
z is the z score at 98% confidence interval
n is the sample size = 120
z = 2.33
If in a randomly chosen handful of 120 beans 40 were black, then;
p = 40/120
p = 4/12
p = 0.33
CI = 0.33± 2.33√0.33(1-0.33)/120
CI = 0.33± [2.33√0.33(0.67)/120]
CI = 0.33± [2.33√0.2211/120]
CI = 0.33± [2.33(0.04292)]
CI = 0.33±0.100014
CI = (0.33-0.100014, 0.33+0.100014)
CI = (0.229, 0.430014)
CI = (22.9, 43.0014)
Hence 98% confidence interval for the proportion of black beans in the jar is 23%<x<43%.
