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3 years ago

The equation of a line is y=-2.5x+3. Which one of these points lies on this line?

1 answer:

7 0

D is the correct answer. Since this is an equation, equation means both side are equal. So if you put each point in place of y and x and do the math on the left side, the final result of that side has to be equal to the left one. Only (-2,2) follows this statement aka its a point on this line .

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It

Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, $\bar{x}$ = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}$

We use one-tailed(left) z test to perform this hypothesis.

Formula:

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

Putting all the values, we have

$z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

8 0

3 years ago

If rs =3x + 1, st = 2x- 2 ,and rt = 64,find the value of x

stealth61 [152]

rs + st = rt Plug in the values
3x + 1 + 2x - 2 = 64 Combine like terms (1 and -2)
3x -1 + 2x = 64 Combine like terms (3x and 2x)
-1 + 5x = 64 Add 1 to both sides
5x = 65 Divide both sides by 5
x = 13

3 0

3 years ago

Find the expression to (x-1)(x-9)

disa [49]

(x + 9)(x – 1) = 0. x = -9 or x = 1

8 0

3 years ago

Read 2 more answers

Please answer number 5 find the surface area

Margaret [11]

Ill edit this later to answer the question, but what is the question???

3 0

3 years ago

Sin θ > 0 and tan θ < 0 then:

andriy [413]

Answer:

last choice

Step-by-step explanation:

sin(theta) is positive

tan(theta)=sin(theta)/cos(theta) is negative

If sin(theta) is positive and tan(theta) is negative, then cos(theta) is negative because +/-=-

So we are looking for the quadrant where sine is positive and cosine is negative or when x is negative and y is positive.

This is in quadrant 2 so our angle theta is between 90 and 180 degrees.

4 0

3 years ago