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AysviL [449]
3 years ago
5

A shelf is in the shape of a triangle. Find the angles of the triangle if the measures of the angle are in the ratio x:x:4x

Mathematics
1 answer:
user100 [1]3 years ago
8 0
First x equals 30
Second x equals 30 aswell
The last x equals 120

Asw: 30°, 30°, 120°
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A package of 10 batteries is checked to determine if there are any dead batteries. Four batteries are checked. If one or more ar
frutty [35]

Answer:

There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.

Step-by-step explanation:

With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:

  • n=4 (the amount of batteries picked for the sample).
  • p=3/10=0.3 (the proportion of dead batteries).
  • k≥1 (the amount of dead batteries in the sample needed to not sell the package).

The probability of having k dead batteries in the sample is:

P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}

Then, the probability of having one or more dead batteries in the sample (k≥1) is:

P(x\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{4}{0} p^{0}q^{4}=1*1*0.7^4=0.2401\\\\\\P(x\geq1)=1-0.2401=0.7599\approx0.76

8 0
3 years ago
A rental car company charges $40 per day to rent a car and $0.08 for every
nikklg [1K]

Answer:

2000 miles.        

Step-by-step explanation:

If she has the car for  One day she can drive 2000 miles.

if she has the car for 2 days she can drive 1500

if she has the car for 3 days she can drive 1000

If she has the car for 4 days she can drive 500

8 0
2 years ago
The area of a rectangle is 229.2 m2. If the length is 15 m, what is the perimeter of the rectangle
igor_vitrenko [27]

Answer:

\large\boxed{P=60.56\ m}

Step-by-step explanation:

The formula of an area of a rectangle:

A=lw

l - length

w - width

We have

A=229.2\ m^2\\\l=15\ m

Substitute:

15w=229.2          <em>divide both sides by 15</em>

w=15.28\ m

The formula of a perimeter of a rectangle:

P=2(l+w)

Substitute:

P=2(15+15.28)=2(30.28)=60.56\ m

8 0
4 years ago
Hello there!
jok3333 [9.3K]

Answer:

4. dy/dx = -2

8. dy/dx = 1/2 x^(-3/2)

10/ dy/dr = 4 pi r^2

Step-by-step explanation:

4.  y = -2x+7

dy/dx = -2(1)

dy/dx = -2

8.  y = 4 - x^-1/2

 dy/dx =  - (-1/2x^ (-1/2-1)

 dy/dx = 1/2 x^(-3/2)

10.  y = 4/3 pi r^3

dy/dr = 4/3 pi  (3r^2)

dy/dr = 4 pi r^2

7 0
3 years ago
Find the volume of a sphere that has diameter of 9 feet.
jek_recluse [69]

Answer:

V≈381.7ft³

Step-by-step explanation:

try using a sphere calculator next time its a lot easier and saves time

5 0
3 years ago
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