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3 years ago

If m angle ABF =8w-6 and m angle ABE = 2(w + 11) find m angle EBF

Mathematics

1 answer:

Luba_88 [7]3 years ago

4 0

Answer:

Angle EBF = 6w -28

Step-by-step explanation:

Given:

ABF = 8w - 6

ABE = 2(w + 11)

Find:

Angle EBF

Computation:

Angle EBF = ABF - ABE

Angle EBF = 8w - 6 - [2(w + 11)]

Angle EBF = 8w - 6 - [2w + 22]

Angle EBF = 8w - 6 - 2w - 22

Angle EBF = 6w -28

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Suppose a normal distribution has a mean of 38 and a standard deviation of

Sauron [17]

Answer:

77.4% probability that a data value is between 36 and 41

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 38, \sigma = 2$

What is the probability that a data value is between 36 and 41?

This is the pvalue of Z when X = 41 subtracted by the pvalue of Z when X = 36.

X = 41

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{41 - 38}{2}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.933

X = 36

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{36 - 38}{2}$

$Z = -1$

$Z = -1$ has a pvalue of 0.159

0.933 - 0.159 = 0.774

77.4% probability that a data value is between 36 and 41

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3 years ago

*need this answered ASAP please. Write the solution to the given inequality in interval notation.

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Step-by-step explanation:

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3 years ago

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Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more tha

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The final week is week 23 at $41

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3 years ago

Assistance in understanding and solving this example on Elementary Number Theory with the details of the solution to better unde

Brut [27]

Answer:

x | y

==========

16 | 3

12 | 6

8 | 9

4 | 12

b) A large basket contains 23 eggs

Step-by-step explanation:

a) Isolating 3x, we get

3x = 60-4y

This means that 60-4y is a multiple of 3.

Besides, as x is a positive integer, then x = 60-4y has to be greater than zero

60-4y>0

Solving the inequality for y

60>4y

60/4 > y

15>y (or y<15, which is the same)

The multiples of 3 which are smaller than 15 are 3,6,9 and 12

Now we draw a table for these values of y and found the value of x by replacing in the equation 3x = 60-4y---> x = (60-4y)/3

x | y

=======

16 | 3

12 | 6

8 | 9

4 | 12

And these are all the solutions in positive integers.

b) This problem is pretty much like problem a)

Let's call x the number of eggs contained in the large baskets and y the number of eggs contained in the small baskets.

Then

Number of eggs bought - number of eggs sold = number of eggs left over.

In this case

11x-39y = 19

But we also know that 0<y<12 because the small baskets hols fewer than a dozen.

Isolating x in the equation 11x-39y + 19, we get

x=(19+39y)/11

Now we make a table with these values of x and y remembering that y is a positive integer smaller than 12

x | y

=======

5.2 | 1

8.8 | 2

12.4 | 3

15.9 | 4

19.5 | 5

23 | 6

26.6 | 7

30.1 | 8

33.6 | 9

37.2 |10

40.7 |11

From this table we see that the only integer solution for x is 23, so a large basket contains 23 eggs.

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3 years ago