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4 years ago

4

PLEASE HELP QUICK!!!!!!!!!!Simple question!!!!!!Find the missing angle of the triangle with angle measurements of 75° and 80°. W

hat is the missing angle? Explain how you found your answer.

1 answer:

12345 [234]4 years ago

5 0

The missing angle is 25°

x + 75°+80°= 180°
x+155°=180°
x= 25°

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A farmer outside of Clinton NC plants 20 plots of a new type of corn. The average yield for these plots is ī= 150 bushels per ac

bogdanovich [222]

Answer:

The 95% confidence interval is $(150\pm 8.8)$ .

Step-by-step explanation:

The information provided is:

$\bar x=150\\\sigma = 20\\n=20$

The critical value for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the margin of error as follows:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

$=1.96\times\frac{20}{\sqrt{20}}\\\\=1.96\times 4.47214\\\\=8.7653944\\\\\approx 8.8$

Then the 95% confidence interval is:

$CI=\bar x\pm MOE$

$=150\pm 8.8$

Thus, the 95% confidence interval is $(150\pm 8.8)$ .

5 0

3 years ago

What is the equation, in slope intercept form, for a line parallel to y=-x+11 through point (3,5)?

krek1111 [17]

Answer:

A) y=-x+8

Step-by-step explanation:

Parallel lines have the same slope. So, next you need to find the y-intercept (b) of the line. (see attached work)

5 0

3 years ago

Part 2: The Zombie Assassin

Tatiana [17]

Answer: See below

<u>Step-by-step explanation:</u>

y = a(b)ˣ

y: final population of zombies
a: initial population of zombies
b: rate of decrease
x: number of hours

Given: a = 500,000 b = 50% (0.5)

y = 500,000(0.5)ˣ

Since we want to know the number assassinated (A), subtract the total from the final population of zombies

A = 500,000 - y

a) Equation: 500,000 - 500,000(0.5)ˣ

b)

$\begin{array}{c|c|c||l|c}\underline{\quad a\quad}&\underline{\quad b\quad}&\underline{\quad x\quad}&\underline{\quad 500,000(0.5)^x=y \qquad}&\underline{\quad 500,000-y=A\quad}\\500,000&0.5&5&500,000(0.5)^5=15,625&\bold{484,375}\\500,000&0.5&10&500,000(0.5)^{10}=488&\bold{499,512}\\500,000&0.5&15&500,000(0.5)^{15}=15&\bold{499,985}\\500,000&0.5&20&500,000(0.5)^{20}=0&\bold{500,000}\\\end{array}$

(Graph attached)

c) The assassins will earn 100,000 + 2(499,985) = $1,099,970 after 15 hours.

The number of zombies needed to assassinate in order to earn $1,000,000:

100,000 + 2z = 1,000,000

2z = 900,000

z = 450,000

d) How long will it take to eliminate all of the zombies?

The population of zombies is zero when x = 20 hours

How much money did the assassinators earn?

100,000 + 2(500,000) = $1,100,000

3 0

4 years ago

What is the area of the puzzle pieces above

lapo4ka [179]

Answer:

101.25 feet2

Step-by-step explanation:

Area =

b1 + b2 ×h

2

=

16 + 11 × 7.5

2

= 101.25 feet2

Tip if you need this again just go to Area Calculator

4 0

3 years ago

A boat costs $19,200 and decreases in value by 12% per year. How much will the

fomenos

Find 10% of $19,200 = 1,920
Find 2% of $1,920 = 384
12% = $2,304
19,200 - 2,304 = 16,896 (year 1)
Repeat this until you have your 5th year :)

4 0

4 years ago