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ollegr [7]
3 years ago
12

An automatic machine is set to fill bags of dog food with exactly 25 pounds on average with a standard deviation of 0.5 pounds.

A random sample of 100 bags was selected. The sample mean was found to be 24.85 pounds. Determine whether or not the machine is working properly using a 5% level of significance.
Mathematics
1 answer:
Rasek [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that an automatic machine is set to fill bags of dog food with exactly 25 pounds on average with a standard deviation of 0.5 pounds.

Sample size = n =100

x bar = 24.85 pounds

Sample std error = \frac{\sigma}{\sqrt{n} } =0.05

Hypotheses:

H_0: x bar = 25\\H_a: x bar \neq 25

(Two tailed test at 5% level)

Mean difference =0.15

Test statistic = mean diff/se = 3

Since population std dev is known z test can be used

p value =0.0000

Since p <0.05 we find that the bag does not contain exactly 25 pounds.

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Find the slope of the line (-3,-3) (1,1)
Volgvan

Answer: The slope is m = 1

Step-by-step explanation:

-To find the slope, you need the slope formula:

m=\frac{y2-y1}{x2-x1}  where you have (x1,y1) and (x2,y2) on the equation.

-Next, you put the two points to the equation:

m=\frac{1+3}{1+3}

-And then you solve the equation:

m=\frac{1+3}{1+3}

m=\frac{1+3}{1+3}  = \frac{4}{4}=1

m=1

5 0
3 years ago
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Nate is exponentially gaining Twitter followers! His current amount of followers is 146. His followers are increasing at a 24% r
tia_tia [17]

Answer:

(a) Growth

(b)\ y = 146(1.24)^x

Step-by-step explanation:

Given

a= 146 -- current

r = 24\% --- rate

Solving (a): Growth or decay

The question says his followers increases each day by 24%.

Increment means growth.

<em />

<em>Hence, it is a growth problem</em>

Solving (b): Equation to represent the scenario.

Since the rate represents growth, the equation is:

y = a(1 + r)^x

Substitute: a= 146 and r = 24\%

y = 146 * (1 + 24\%)^x

y = 146 * (1 + 0.24)^x

y = 146 * (1.24)^x

y = 146(1.24)^x

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3 years ago
Help!! I have this for a test and im very confused
skad [1K]

Answer:

check this out

Step-by-step explanation:

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(3-2sqrt-18)-(2+3sqrt-8)​
Mama L [17]
Tell me the question and I’ll help you with it is it simplify or evalute etc.
7 0
3 years ago
Can someone please explain to me how to do this.
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Y = x² - 4x + 4
y = 2x - 4

Find intersection of L and C:
x² - 4x + 4 = 2x - 4
x² - 6x + 8 = 0
<span> (x - 2)(x - 4) = 0
x = 2 or x = 4

When x = 2 , y = 2(2) - 4 = 0
When x = 4, y = 2(4) - 4 = 4

Points of intersection = A(2, 0) and B(4, 4)

Find the length of AB:

</span>&#10;\text {Length of AB}=  \sqrt{(4-0)^2 + (4-2)^2} =  \sqrt{16 + 4} = \sqrt{20}  = 4.47 \text{ units}
<span>
Answer: 4.47 units

</span>
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3 years ago
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