Answer:

Answer:

21.45 miles

Step-by-step explanation:

Key:

t=time

d=distance

We need to find the time the lion ran first.

The time the lion ran:

13.75=50•t

13.75=50t

-50t=-13.75

t=-13.75•-1/50

t = 0.275

So the lion ran in 13.75 miles in 0.275 of an hour.

Now, we need to figure out the cheetah.

0.275•78=21.45 miles

I hope this helps :-)

X²+4x+20=0a=1 b=20 c=4a=1 b=4 c=-20a=1 b =4 c = 20a=1 b=-4 c=02x²+6x+5=0-2x²+x+5 identify the coefficients

At the "cloth for you" shop, you can buy a top for £10.00 and a Bermuda trouser for £12.00. Due to a sensational sell, there is a 20% discount on all tops. If you buy one top and two Bermuda trousers, how much money do you spend in total?

Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Would we be correct in inferring that such a relationship also exists in the population? Explain your answer. What is the probability that any relationship we found is due to pure chance?

if a bag contains 18 red, 6yellow, 24blue 8white balloons what is the part to whole ratio of white ballons to all ballons

Hot-dog buns come in packages of 10. Wieners come inpackages of 12. Barry would like to buy the smallest number of hot-dog buns and wieners so that he will have exactly 1 wiener per bun. How many packages of hot-dog buns and wieners must he buy? A 6 packages of buns, 5 packages of wieners B 5 packages of buns, 5 packages of wieners C 8 packages of buns, 7 packages of wieners 05 packages of buns, 4 packages of wieners

At the "cloth for you" shop, you can buy a top for £10.00 and a Bermuda trouser for £12.00. Due to a sensational sell, there is a 20% discount on all tops. If you buy one top and two Bermuda trousers, how much money do you spend in total?

Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Would we be correct in inferring that such a relationship also exists in the population? Explain your answer. What is the probability that any relationship we found is due to pure chance?

if a bag contains 18 red, 6yellow, 24blue 8white balloons what is the part to whole ratio of white ballons to all ballons

Hot-dog buns come in packages of 10. Wieners come inpackages of 12. Barry would like to buy the smallest number of hot-dog buns and wieners so that he will have exactly 1 wiener per bun. How many packages of hot-dog buns and wieners must he buy? A 6 packages of buns, 5 packages of wieners B 5 packages of buns, 5 packages of wieners C 8 packages of buns, 7 packages of wieners 05 packages of buns, 4 packages of wieners

**Answer:**

(a) 0.0178 <= p <= 0.0622

(b) p <= 0.0586

**Step-by-step explanation:**

We have that the sample proportion is:

p = 12/300 = 0.04

(to)

For 95% confidence interval alpha = 0.05, so critical value of z will be 1.96

Therefore, we have that the interval would be:

p + - z * (p * (1-p) / n) ^ (1/2)

replacing we have:

0.04 + - 1.96 * (0.04 * (1-0.04) / 300) ^ (1/2)

0.04 + - 0.022

Therefore the interval would be:

0.04 - 0.022 <= p <= 0.04 + 0.022

0.0178 <= p <= 0.0622

(b)

For upper bounf z-critical value for 95% confidence interval is 1.645, so upper bound is:

p + z * (p * (1-p) / n) ^ (1/2)

replacing:

0.04 + 1.645 * (0.04 * (1-0.04) / 300) ^ (1/2)

0.04 + 0.0186 = 0.0586

p <= 0.0586

the measure of the second smallest angle.

118°

131°

132.5°

142°

None of these answers are correct.

=====================================================

Explanation:

The interior angles are consecutive numbers such as 1,2,3,... or 7,8,9... and so on. The gap between any two adjacent neighbors is 1.

For any polygon with n sides, the interior angles add up to 180(n-2)

We have n = 8 sides so the interior angles sum to 180(n-2) = 180(8-2) = 1080 degrees.

Any octagon has its interior angles add up to 1080 degrees.

-----------------------------

Let x be the smallest angle. The next angle up is x+1. After that is x+2 and so on until we reach x+7 as the 8th angle.

Add up those 8 angles, set the sum equal to 1080 and solve for x

x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)+(x+7) = 1080

8x+28 = 1080

8x = 1080-28

8x = 1052

x = 1052/8

x = 131.5

This is the smallest angle. The next angle up or the **second smallest angle is **x+1 = 131.5+1 = **132.5 degrees (choice C)**

**Answer:**

16 I believe. 240 divided by 15 is 16.

**Answer:**

3x (x² + x + 1)

You could write any trinomial like this

**Answer:**

No, because it is not the tens digit that goes up by 1 in these numbers, it is the unit digit.

**Step-by-step explanation:**

It is important to know the concepts of units, tenths and cents.

**For example**

1 = 1 unit

10 = 1*10 + 0 = The tens digit is one the unit digit is 0

21 = 2*10 + 1 = The tens digit is two and the unit digit is 1.

120 = 1*100 + 2*10 + 0 = The cents digit is 1, the tens digit is two and the unit digit is 0.

**So**

Adding 1 is the same as the unit digit going up by 1.

Adding 10 is the same as the tens digit going up by 1.

Adding 100 is the same as the cents digit going up by 1.

**In this problem, we have that:**

**864,865,866,867,868,869**

Each value is the 1 added to the previous value, that is, the unit digit goes up by 1.

**Mariel thinks the tens digit goes up by 1 in these numbers. Do you agree? **

No, because it is not the tens digit that goes up by 1 in these numbers, it is the unit digit.

**Answer:**

disagree, its the unit number that goes up by 1

**Step-by-step explanation:**

**Answer: The range is 101 degrees.**