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Dahasolnce [82]
3 years ago
7

What is the result of subtracting the second equation from the first?

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
7 0
Sorry for my handwriting

Mrac [35]3 years ago
4 0

Answer: - 5x = 8

Step-by-step explanation:

Subtracting equation 2 from 1 implies

- 2x - 3x + 7y - 7y = 10 - 2

- 5x = 8

If solving for x , then

x = -8/5

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Find the distance between (3,4) and (4,-6) if necessary, round to the nearest tenth.
Ratling [72]

Answer:

The distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

Step-by-step explanation:

Given the points

  • (3,4)
  • (4,-6)

The distance 'd' between (3,4) and (4,-6)

\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

substituting the points values

   =\sqrt{\left(4-3\right)^2+\left(-6-4\right)^2}

   =\sqrt{1+10^2}

   =\sqrt{1+100}

   =\sqrt{101}

   =10.0  units (Rounded to the nearest the Tenths Place)

Thus, the distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

4 0
3 years ago
Find the length of the missing side. Round answers to the nearest tenth it
Taya2010 [7]
Si holaaa and orange brown green brown orange brown brown orange orange
3 0
3 years ago
One stats class consists of 52 women and 28 men. Assume the average exam score on Exam 1 was 74 (σ = 10.43; assume the whole cla
Svetllana [295]

Answer:

(A) What is the z- score of the sample mean?

The z- score of the sample mean is 0.0959

(B) Is this sample significantly different from the population?

No; at 0.05 alpha level (95% confidence) and (n-1 =79) degrees of freedom, the sample mean is NOT significantly different from the population mean.

Step -by- step explanation:

(A) To find the z- score of the sample mean,

X = 75 which is the raw score

¶ = 74 which is the population mean

S. D. = 10.43 which is the population standard deviation of/from the mean

Z = [X-¶] ÷ S. D.

Z = [75-74] ÷ 10.43 = 0.0959

Hence, the sample raw score of 75 is only 0.0959 standard deviations from the population mean. [This is close to the population mean value].

(B) To test for whether this sample is significantly different from the population, use the One Sample T- test. This parametric test compares the sample mean to the given population mean.

The estimated standard error of the mean is s/√n

S. E. = 16/√80 = 16/8.94 = 1.789

The Absolute (Calculated) t value is now: [75-74] ÷ 1.789 = 1 ÷ 1.789 = 0.559

Setting up the hypotheses,

Null hypothesis: Sample is not significantly different from population

Alternative hypothesis: Sample is significantly different from population

Having gotten T- cal, T- tab is found thus:

The Critical (Table) t value is found using

- a specific alpha or confidence level

- (n - 1) degrees of freedom; where n is the total number of observations or items in the population

- the standard t- distribution table

Alpha level = 0.05

1 - (0.05 ÷ 2) = 0.975

Checking the column of 0.975 on the t table and tracing it down to the row with 79 degrees of freedom;

The critical t value is 1.990

Since T- cal < T- tab (0.559 < 1.990), refute the alternative hypothesis and accept the null hypothesis.

Hence, with 95% confidence, it is derived that the sample is not significantly different from the population.

6 0
3 years ago
-2 + 3n&lt; 28 and 6n - 7 &gt; 17
sveta [45]

Answer:

N< 10 and N>4

Step-by-step explanation:

-2+3n< 28. =. 3n < 30. =. N < 10

+2. +2 ÷3. ÷3

6n - 7 > 17. =. 6n > 24. =. N > 4

+7. +7. ÷ 6. ÷ 6

8 0
3 years ago
A)Natalie has read 3/4 of a book that is 120 pages long. How many pages does she have left to read?
drek231 [11]
A) (1/4)*120=
B) 22.5 or 22 1/2
C)1/3*50=16.67
D)0.125
E)1/3*70=24.33
F)1/9
G)0.37
8 0
3 years ago
Read 2 more answers
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