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defon
2 months ago
3

If m∠FBC = (10x –9)°, m∠CBE = (4x + 15) °, find m∠FBE

Mathematics
1 answer:
AnnZ [12.3K]2 months ago
6 0

Conclusion:

(14x+6)°

Step-by-step breakdown:

We know that m∠FBC = (10x –9)° and m∠CBE = (4x + 15)°. To derive m∠FBE, we can utilize the equation:

m∠FBE = m∠FBC + m∠BE

Now, substituting the provided expressions:

m∠FBE = 10x - 9 + 4x + 15

Combining like terms:

m∠FBE = (10x + 4x) + (-9 + 15)

m∠FBE = 14x + 6

Thus, m∠FBE is (14x+6)°

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Answer:

Answer and Explanation:

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Population mean,

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Population standard deviation,

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1) The standard deviation for the sampling distribution:

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√

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=

696

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2) By the central limit theorem, the sampling distribution's expected value matches the population mean.

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The expected value of the sampling distribution equals the population mean,

μ

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The standard deviation of the sampling distribution,

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The sampling distribution of

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3) The likelihood that the average lifespan of the sample falls between

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2809.76

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P

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2809.76

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<

z

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3000

116

)

=

P

(

−

2.84

<

z

<

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1.64

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=

P

(

z

<

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1.64

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−

P

(

z

<

−

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0.0482

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4) The probability of the average life in the sample exceeding

3219.24

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P

(

x

>

3219.24

)

=

P

(

z

>

3219.24

−

3000

116

)

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P

(

z

>

1.89

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P

(

x

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3180.96

)

=

P

(

z

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6 0
1 month ago
The heights of 200 adults were recorded and divided into two categories.
AnnZ [12381]
The response is A

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8 0
1 month ago
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Lesson 3 homework practice mean absolute deviation
AnnZ [12381]
To calculate the mean absolute deviation of
1,2,3,4,5,6,7
, we start by finding the mean;
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. Next, we determine the absolute differences of each data point from the mean (x-μ)
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3+2+1+0+1+2+3 = 12
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4 0
1 month ago
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a
AnnZ [12381]

Response: The following comparison is made.

Detailed explanation:

At the playground, a climbing structure is 6 feet high and stretches 4 feet horizontally.

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In contrast, a climbing structure in the gym stands 10 feet tall, extending 6 feet horizontally.

Therefore, slope, m_2=  10/6 = 5/3 = 1.67 (approximately)

As such, m_1 < m_2

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