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liraira [26]
2 years ago
7

Determine the relationship between the two triangles and whether or not they

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
7 0

Answer: These ARE congruent to each other.

Step-by-step explanation: Do you see the ''tick marks?'' They both have 1 set of 2, and 1 set of 1. If that makes sense. They also have a "angle" in one of their acute angles.

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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2-cm and a standard dev
Varvara68 [4.7K]

Answer:

The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.

Step-by-step explanation:

We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.

Let \bar X = <u><em>the average length of rods in a randomly selected bundle of steel rods</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean length of rods = 259.2 cm

           \sigma = standard deviaton = 2.1 cm

           n = sample of steel rods = 17

Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P(\bar X > 259 cm)

 

     P(\bar X > 259 cm) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{259-259.2}{\frac{2.1}{\sqrt{17} } } ) = P(Z > -0.39) = P(Z < 0.39)

                                                                = <u>0.65173</u>

The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.

8 0
3 years ago
Find the measures of the interior angles.<br><br><br><br><br><br><br> what is angle A, B, and C
lina2011 [118]

Answer:

75 degrees.

Step-by-step explanation:

All interior angles of a triangle add up to 180.

So we can set up an equation: 65+40+x=180

105+x=180

x=180-105

x=75

4 0
3 years ago
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Which solutions is the correct one?
Debora [2.8K]

Answer:

Apoint on negative x-axis

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3 years ago
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19. Hillary buys 3 pounds of Gala apples and some Granny Smith apples.  Both kinds of apples cost $4.50 per pound. The total cos
GarryVolchara [31]

Answer:

2.5 pounds of Granny Smith apples.

Step-by-step explanation:


7 0
3 years ago
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40 oz &gt; 3 lb true or false?
OleMash [197]
1lbs is 16oz, so do the math: 16x3 is 48. 3lbs is 48oz, meaning this is false.
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