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Viktor [21]
4 years ago
9

How many acute, obtuse, and right angles are in this figure?

Mathematics
2 answers:
Eddi Din [679]4 years ago
6 0
There are 2 acute angles, 2 obtuse angles and 0 right angles.
Vinvika [58]4 years ago
4 0
2 acute and 2 obtuse and 0 right angles
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12g=12(2/3g-1)+ 11 <br> Please solve the equation fully and step by step
Otrada [13]

Step-by-step explanation:

12g=12(2/3g-1)+ 11

12g=24/3g-12+11

12g-24/3g=-1

12g-8g=-1

4g=-1

g=-1/4

5 0
3 years ago
From least to greatest 2/3 -4 1/2 1/4 - 1/2 2 1/3
tamaranim1 [39]

Answer: -4 1/2 , -1/2 , 1/4 , 2/3 , 2 1/3

Step-by-step explanation:

4 0
3 years ago
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The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There
KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5

We have to find the value of x such that the probability is 0.05

P(X > x)  = 0.05

P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05  

= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05  

=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83  

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0
3 years ago
5 1/2 ft equals how many inches
enot [183]
5 1/2 ft equals 66 inches
3 0
3 years ago
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The length of the hypotenuse of a right triangle is 14 inches. If the length of one leg is 6 inches, what is the approximate len
Liula [17]
Using the Pythagorean theorem:

6^2 + X^2 = 14^2

36 + x^2 = 196

X^2 = 196-36 

x^2 = 160

x = SQRT(160)

x = 4 SQRT(10)   
Or as a decimal:
x = 12.65 inches
5 0
3 years ago
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