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3 years ago

9

Find the value of x. Show your work.

1 answer:

r-ruslan [8.4K]3 years ago

5 0

Exterior angle sum of an polygon (shape) is 360 degrees (this is a property)

x + 98 + 41 + 76 + 86 = 360

Therefore x = 59

Please double check the equation I have written. Your picture is a bit blurry therefore I can really tell what number is 6 and 8. Sorry

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A total of $12,000 is invested at two different rates: $5,000 of it is invested at 6%, and the rest is invested at 8%. How much

lesantik [10]

5000*6/100=300
7000*8/100=560
total=860

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3 years ago

Sketch the graph of this linear equation<br>4y = -7x + 1

jonny [76]

Answer:

use desmos to graph it

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3 years ago

Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both in case

olga nikolaevna [1]

Answer:

(a) The probability that both Dave and Mike will show up is 0.25.

(b) The probability that at least one of them will show up is 0.75.

(c) The probability that neither Dave nor Mike will show up is 0.25.

Step-by-step explanation:

Denote the events as follows:

<em>D</em> = Dave will show up.

<em>M</em> = Mike will show up.

Given:

$P(D^{c})=0.55\\P(M^{c})=0.45$

It is provided that the events of Dave of Mike showing up are independent of each other.

(a)

Compute the probability that both Dave and Mike will show up as follows:

$P(D\cap M)=P(D)\times P (M)\\=[1-P(D^{c})]\times [1-P(M^{c})]\\=[1-0.55]\times[1-0.45]\\=0.2475\\\approx0.25$

Thus, the probability that both Dave and Mike will show up is 0.25.

(b)

Compute the probability that at least one of them will show up as follows:

P (At least one of them will show up) = 1 - P (Neither will show up)

$=1-P(D^{c}\cup M^{c})\\=P(D\cup M)\\=P(D)+P(M)-P(D\cap M)\\=[1-P(D^{c})]+[1-P(M^{c})]-P(D\cap M)\\=[1-0.55]+[1-0.45]-0.25\\=0.75$

Thus, the probability that at least one of them will show up is 0.75.

(c)

Compute the probability that neither Dave nor Mike will show up as follows:

$P(D^{c}\cup M^{c})=1-P(D\cup M)\\=1-P(D)-P(M)+P(D\cap M)\\=1-[1-P(D^{c})]-[1-P(M^{c})]+P(D\cap M)\\=1-[1-0.55]-[1-0.45]+0.25\\=0.25$

Thus, the probability that neither Dave nor Mike will show up is 0.25.

6 0

3 years ago

Read 2 more answers

An amount of $290000 is borrowed for a period of 25 years at an interest rate of 4%

Serhud [2]

Answer:

nice

Step-by-step explanation:

7 0

2 years ago

PLEASE HELP SUPER EASY MATH PROBLEM WILL MARK BRAINLIEST

topjm [15]

Answer:

m∠5 = 67

m∠7 = 67

Step-by-step explanation:

m∠4 and m∠5 add up to 180 because they are same side interior angles.

180 - 113 = m∠5

m∠5 = 67

m∠5 = m∠7 because they are vertically opposite angles

hence, m∠7 = 67 degrees

8 0

3 years ago

Read 2 more answers