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V125BC
16 days ago
13

If m abf=7b-24 and m Abe = 2b what is m EBF

Mathematics
1 answer:
Inessa [3.9K]16 days ago
3 0
Since m∠abe = 2b, and angle abe consists of angles abf and ebf, we can write:
m∠abe = m∠abf + m∠ebf
To find m∠ebf, rearrange:
m∠ebf = m∠abe - m∠abf
Substitute the given expressions:
m∠ebf = 2b - (7b - 24)
Simplify:
m∠ebf = 2b - 7b + 24
m∠ebf = -5b + 24.
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A food truck operator has traditionally sold 75 bowls of noodle soup each day. He moves to a new location and after a week sees
lawyer [4039]

Answer:

The p-value for this test is 0.031. It should be interpreted as "There is a 96.9% likelihood that the actual average of soup sales at the new site exceeds 75 bowls it daily"

Step-by-step explanation:

The p-value"In hypothesis testing, the p-value, or probability value, represents the likelihood of obtaining test outcomes at least as extreme as the observed results, given that the null hypothesis holds true"

7 0
13 days ago
The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probabi
Inessa [3926]

Answer:

The likelihood that a failure will not take place within the next 30 months is 0.0454.

Step-by-step explanation:

We employ a Poisson distribution where:

t = time units

x = occurrences during t units

λ = average occurrences per unit of time

P(x;λt) = e raised to the power of (-λt) multiplied by λtˣ divided by x!

Here, λt equals 25.

x equals 30.

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E signifies exponent)

P (x=30) = 1.204 E31/30!

Utilizing a statistical calculator will yield:

P (x=30) = 0.0454

The probability that the next failure will not occur prior to 30 months is 0.0454.

7 0
2 days ago
the length of the swimming pool is 8 m longer than its width and the area is 105 m squared write in quadratic equation ​
babunello [3666]

Response:

Detailed explanation:

The length of the pool is longer than its width by 8 meters.

If we designate L as length and W as width, we can express this as:

L = 8 + W

We also know that the area amounts to 105 m squared.

Note:

Area of a Rectangle = Length x Width

Thus, 105 = (8 + W) x W

105 = 8w + w^2\\

To adjust the equation, subtract 105 from both sides:

w^2 + 8w - 105 = 0

5 0
15 days ago
Adam can earn money recycling aluminium cans .each can weighs 15g and he can get paid 50p per kg . If Adam earns £15 , how many
Leona [4187]

There are 0.015 kilograms in 15 grams. Since each can weighs 0.015 kg and the payment rate is 50p per kilogram, 0.015 multiplied by 66 amounts to 1 kilogram! Therefore, 66 cans are needed to generate one kilogram. As a result, earning £15 would mean that with 2 kg equating to one dollar, then 15 multiplied by 2 equals 30. Consequently, 66 times 30 gives 1980!

66 relates to each kilogram, and 30 indicates how many 50p are required for one dollar!

Thus, to obtain £15, Adam has to recycle a total of 1980 cans!


7 0
10 days ago
What is the answer? The glee club has 120 cupcakes to sell. they have decided to arrange the cupcakes in the shape of a rectangl
PIT_PIT [3949]
<span>Determine the configuration of columns and rows for the rectangular arrangement of 120 cupcakes.
=> There must be an even number of rows and an odd number of columns.
=> 120 = 2 x 2 x 2 x 15
=> 120 = 8 x 15
=> 120 = 120
Consequently, the glee club should organize the cupcakes in 8 rows and 15 columns.
This totals up to 120 cupcakes altogether.

</span>



8 0
9 days ago
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