Answer: x>−4
Step-by-step explanation:
Let's solve your inequality step-by-step.
6x−5>−29
Step 1: Add 5 to both sides.
6x−5+5>−29+5
6x>−24
Step 2: Divide both sides by 6.
6x/6>-24/6
<h3>x>-4</h3>
Given:
Diameter if the spherical tank = 20 ft.
Now,
We know,
radius = diameter / 2
= 20 / 2
= 10 ft.
Now,
The area of the spherical tank =
=
=
=
=
Now,
According to the question,
400 ft² needs 1 gallon of paint
1 ft² needs (1 / 400) gallon of paint
1256.64 ft² needs (1 / 400) * 1256.64 gallon of paint
= 3.1416 gallon of paint
=
3.14 gallon of paint --------------> rounded
So, we need 3.14 gallon of paint
First, find the midpoint of the diameter. the midpoint is the center of the circle.
[(-10+(-6)]/2=-8, [(-8+(-2)]/2=-5
so the center is at (-8, -5)
next, find the distance between the two points:
d=√[-6-(-10)]²+[-2-(-8)]²=√4²+6²=√52=2√13
half of the diameter is radius, r=half of 2√13=√13
standard equation for the circle is (x-h)²+(y-k)²=r², (h,k) being the center, r the radius
(x+8)²+(y+5)²=13 is the answer.
Answer:
(0.46, 0.52)
Step-by-step explanation:
The formula for Confidence Interval with Proportion
CI = p ± z × √p(1 - p)/n
Where
p = Proportion = x/n
x = 346
n = 706
p = 346/706
p = 0.49
z = z score of Confidence Interval 90% = 1.645
Therefore:
CI = 0.49 ± 1.645 × √0.49(1 - 0.49)/706
CI = 0.49 ± 1.645 × √0.49 × 0.51/706
CI = 0.49 ± 1.645 × 0.0188139843
CI = 0.49 ± 0.0309490042
Hence:
Confidence Interval is
0.49 - 0.0309490042
= 0.4590509958
≈ 0.46
0.49 + 0.0309490042
= 0.5209490042
≈ 0.52
Therefore , the confidence interval of the population proportion is
(0.46, 0.52)
Answer:
A. 3 hours 20 minutes
Step-by-step explanation:
The distance divided by the speed gives you the time.
(234 miles)/(70 mph) = 3.343 hours.
3.343 hours is decimal hours. We need hours and minutes.
1 hour = 60 minutes. We separate the whole hours from the decimal part of the hours, and we multiply the decimal part of the hours by 60 to find minutes.
3.343 hours =
= 3 hours + 0.343 hours
= 3 hours + 0.343 hours * 60 minutes/hour =
= 3 hours + 20.6 minutes
The closest answer is:
A. 3 hours 20 minutes
