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Svetradugi [14.3K]

3 years ago

7

If two lines have different slopes and the same y-intercept, the two lines ( ___)

1 answer:

nydimaria [60]3 years ago

7 0

Answer:

"Lines s and t have slopes that are negative reciprocals of one another."

Step-by-step explanation:

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a farmers packs 46 apples into trays for market.Each tray holds 6 apples.how many apples are in partially filled tray

denis23 [38]

$46 - 6 - 6 - 6 - 6 - 6 - 6-6=46-(7)(6)=46-42 = \boxed {4}$

4 0

3 years ago

Pre-Calculus - Systems of Equations with 3 Variables please show work/steps

Tatiana [17]

Answer:

x = 10 , y = -7 , z = 1

Step-by-step explanation:

Solve the following system:

{x - 3 z = 7 | (equation 1)

2 x + y - 2 z = 11 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Swap equation 1 with equation 2:

{2 x + y - 2 z = 11 | (equation 1)

x + 0 y - 3 z = 7 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y/2 - 2 z = 3/2 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Multiply equation 2 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Add 1/2 × (equation 1) to equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - (3 y)/2 + 8 z = 37/2 | (equation 3)

Multiply equation 3 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - 3 y + 16 z = 37 | (equation 3)

Swap equation 2 with equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x - y - 4 z = 3 | (equation 3)

Subtract 1/3 × (equation 2) from equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y - (28 z)/3 = (-28)/3 | (equation 3)

Multiply equation 3 by -3/28:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract 16 × (equation 3) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y+0 z = 21 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 2 by -3:

{2 x + y - 2 z = 11 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract equation 2 from equation 1:

{2 x + 0 y - 2 z = 18 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Add 2 × (equation 3) to equation 1:

{2 x+0 y+0 z = 20 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 1 by 2:

{x+0 y+0 z = 10 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Collect results:

Answer: {x = 10 , y = -7 , z = 1

3 0

3 years ago

The question is number 11

masya89 [10]

Answer: B) 83%

The chances of winning and the chances of losing add to 100%

So 100% - 17% = 83% is the chances of losing.

3 0

3 years ago

Use the following information to find the test statistic of the sample used to test the claim that FICO credit scores are greate

gladu [14]

Answer:

t = –3.382

Step-by-step explanation:

Claim: FICO credit scores are greater than 675

Thus, x = 675

We are given:

Sample size = n = 50

Sample Mean = u = 719

Sample Standard deviation = s = 92

The formula to find the t-statistic is:

$t=\frac{x-u}{\frac{s}{\sqrt{n} } }$

Using the above values, we get:

$t=\frac{675-719}{\frac{92}{\sqrt{50} } }\\\\ t=-3.382$

Thus, the value of test statistic is -3.382. So 3rd option gives the correct answer.

4 0

3 years ago

Read 2 more answers

A factory process requires 3 steps to finish a product. The steps each have a mean completion time of μ=10 seconds and a standar

Westkost [7]

Answer:

The mean of T is 10 seconds

Step-by-step explanation:

The given parameters are;

The mean completion time of each step, μ = 10 seconds

The standard deviation, σ = 5 seconds

Each step is independent from the other steps

The variable that represents the total completion time for the three steps = T

We have the mean of T, $\overline T$ , given by the combined mean as follows;

$\overline T = \dfrac{n_1 \cdot \overline x_1 + n_2 \cdot \overline x_2 + n_3 \cdot \overline x_3 }{n_1 + n_2 + n_3 }$

Where;

$The \ mean \ completion \ time \ for \ each \ step \ is \ \overline x_1 = \overline x_2 = \overline x_3 = 10 \ seconds$

n₁ = n₂ = n₃ = 1, each step is taken only once, we have;

$\overline T = \dfrac{1 \times 10 + 1 \times 10 + 1 \times 10 }{1 + 1 + 1 } = \dfrac{30}{3} = 10 \ seconds$

Therefore, the mean of T = 10 seconds

5 0

3 years ago

Read 2 more answers