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frez [133]
1 year ago
10

Find one possible missing coordinate so that the point becomes a solution to the given inequality. (x, 8) is a solution to 3x -

4 < y. X =
​
Mathematics
1 answer:
Marina86 [1]1 year ago
6 0

Answer:

  x = 0

Step-by-step explanation:

Substituting the given "point" into the equation gives the possibilities for x.

<h3>Substitution</h3>

Using (x, y) = (x, 8), the inequality becomes ...

  3x -4 < 8

Solving for x gives ...

  3x < 12 . . . . . . . add 4

  x < 4 . . . . . . . divide by 3

Any value of x less than 4 will make (x, 8) a solution to the inequality. For example, ...

  x = 0 . . . . . . (0, 8) is a solution to the inequality

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Calibrating a scale:
lana66690 [7]

Answer:

We conclude that the calibration point is set too high.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =  1000 grams

Sample mean, \bar{x} =  1001.1 grams

Sample size, n = 50

Alpha, α = 0.05

Population standard deviation, σ = 2.8 grams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 1000\text{ grams}\\H_A: \mu > 1000\text{ grams}

We use One-tailed(right) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{ 1001.1 - 1000}{\frac{2.8}{\sqrt{50}} } = 2.778

Now, z_{critical} \text{ at 0.01 level of significance } = 2.326

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. We accept the alternate hypothesis. We conclude that the calibration point is set too high.

6 0
3 years ago
(12) In a relay race, Mia ran 1.43 kilometers. Then she passed the baton to Gerald, who ran an
BigorU [14]

Answer:

4.13

Step-by-step explanation:

To find out how many kilometres they ran in all you have to do 1.43+2.7 =4.13

3 0
3 years ago
Read 2 more answers
Write the expression for when you translate the graph of y = |3x− 5| one unit to the right. Plzz help
AfilCa [17]

Answer:

2<x<4/3

Step-by-step explanation:

Given the equation of a graph to be y = |3x− 5|, if the equation is one unit to the right, this can be expressed as |3x-5| > 1.

Solving the resulting equation

|3x-5| > 1.

Since the function 3x-5 is in a modulus sign, this means that the function can take both negative and positive values.

For positive value of the function;

+(3x-5) > 1

3x > 1+5

3x>6

x>6/3

x>2 ... (1)

For the negative value of the function;

-(3x-5) > 1

On expansion

-3x+5 > 1

-3x > 1-5

-3x > -4

Multiplying through by -1 will also change the inequality sign

x < -4/-3

x < 4/3...(2)

Combining equation 1 and 2, we have;

2<x<4/3

6 0
3 years ago
Read 2 more answers
A company manufactures and sells shirts. The daily profit the company makes
Rom4ik [11]

Answer:

f(-5) = -150

Meaning: If the company sells -5 shirts, they would make a profit of -150 dollars. This interpretation of loss in the context of the problem

f(7) = -30

Meaning: If the company sells 7 shirts, they would make a profit of -30 dollars. This interpretation of loss in the context of the problem

f(10.5) = 5

Meaning: If the company sells 10.5 shirts, they would make a profit of 5 dollars. This interpretation of profit in the context of the problem

Step-by-step explanation:

Given

f(x) = 10x - 100

Required

Fill in the gap

f(-5) = 10 * -5 -100

f(-5) = -50 -100

f(-5) = -150

f(7) = 10 * 7 - 100

f(7) = 70 - 100

f(7) = -30

f(10.5) = 10 * 10.5 - 100

f(10.5) = 105 - 100

f(10.5) = 5

5 0
3 years ago
What is the distance between -20 and -6 on a number line
podryga [215]

Answer:

14 units

Step-by-step explanation:

The distance is -6 - (-20)

                           -6+20

                                 14

4 0
3 years ago
Read 2 more answers
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