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defon
3 years ago
7

Find the slope of the line through each pair of points (1/2,0) and (0,4/7)

Mathematics
1 answer:
Naddika [18.5K]3 years ago
8 0

The line crosses (1/2,0) and (0,4/7)

Let m be the slope of this line

● m = [0-(4/7)]/[(1/2)-0)]

● m = (-4/7)/(1/2)

● m = (-4×2)/7

● m = -8/7

So the slope of this line is -8/7

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rancho middle school has an average of 23/3/8 students per teacher. write this mixed number as a decimal​
Len [333]

Rancho middle school has an average of 23 3/8 students per teacher.write this mixed number as a decimal.

Answer:

23\frac{3}{8} = 23.375

Step-by-step explanation:

Given:

The given mixed number is 23\frac{3}{8}

We need to write the given mixed number as a decimal.

So, we find the decimal number by separating the parts.

=23+\frac{3}{8}

The value of \frac{3}{8}=0.375

=23+0.375

=23.375

Therefore, the decimal number of given mixed number is =23.375

8 0
2 years ago
g A coin where the probability of heads is 0.3 is flipped 2000 times. Use the normal approximation to the binomial distribution
matrenka [14]

Title:

<h2>See the explanation.</h2>

Step-by-step explanation:

The coin is to be flipped 2000 times.

The probability of getting a head is 0.3.

It is given that, we need to get a head in between 575 and 618 times.

If we will get 575 heads then we will get (2000 - 575) tails.

Hence, if we take that we want to get n times head, then we will get (2000 - n) times tail.

The probability of not getting a head is (1 - 0.3) = 0.7.

The probability of getting n times head is ^{2000}C_n (0.3)^n \times (0.7)^{2000 - n}.

The required probability is ∑ ^{2000}C_n (0.3)^n \times (0.7)^{2000 - n}, where 575 \leq n \leq 618.

5 0
3 years ago
Can someone answer this question please?
Slav-nsk [51]

Answer:

Therefore,

(x , y)                YES / NO

(-4, -5)           Yes, It is a Solution.

(1 , - 3)           No, not a Solution.

(9 , 6)            No, not a Solution.

(-6 , 2)           No, not a Solution.

Step-by-step explanation:

Given:

4x-7y=19

To Determine:

Given ordered pair is a solution or not ?

Solution:

For (-4,-5)  

Substitute x = -4 and y = -5 in above equation

Left Hand Side   = 4 × (-4) - 7 × (-5)

                           = -16+35

                           = 19

Right Hand Side = 19

Left Hand Side = Right Hand Side  

Satisfied

Hence (-4, -5) is the SOLUTION to 4x - 7y =19  (YES)

For (1, -3)  

Substitute x = 1 and y = -3 in above equation

Left Hand Side = 4 × (1) - 7 × (-3)

                         = 25

Right Hand Side = 19

Left Hand Side ≠ Right Hand Side  

Not Satisfied

Hence (1, -3) is NOT the Solution to 4x - 7y =19  (NO)

For (9, 6)  

Substitute x = 9 and y = 6 in above equation

Left Hand Side = 4 × (9) - 7 × (6)

                         = -6

Right Hand Side = 19

Left Hand Side ≠ Right Hand Side  

Not Satisfied

Hence (9, 6) is NOT the Solution to 4x - 7y =19  (NO)

For (-6, 2)  

Substitute x = -6 and y = 2 in above equation

Left Hand Side = 4 × (-6) - 7 × (2)

                         = -38

Right Hand Side = 19

Left Hand Side ≠ Right Hand Side  

Not Satisfied

Hence (-6, 2) is NOT the Solution to 4x - 7y =19  (NO)

Therefore,

(x , y)                YES / NO

(-4, -5)           Yes, It is a Solution.

(1 , - 3)           No, not a Solution.

(9 , 6)            No, not a Solution.

(-6 , 2)           No, not a Solution.

6 0
3 years ago
I need a little help my son and I do not quite understand we need a little help
eimsori [14]

Answer:

sin A =cos B

Step-by-step explanation:

sin A =opp/hyp =BC/AB

cos B=adj/hyp = BC/AB

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2 years ago
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Solve for x. Round to the nearest tenth of a degree, if necessary. <br> Answer: x=
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Answer: 31.8 degrees

Step-by-step explanation:

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2 years ago
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