4/7 is multiplied by a fraction less than one. Complete the explanation to show how the product compares to the factors.

A chocolate factory produces mints that weigh 10 grams apiece. The standard deviation of the weight of a box of 10 mints is 3 gr

frozen [14]

The confidence that the box you bought did not come from the factory is 90 %.

<u>Step-by-step explanation:</u>

Since we have given that

Population Mean weight (\mu)= 10 grams a piece

Standard deviation of the weight of a box = 3 grams

Number of mints = 10

We need to buy a box of mints that weighs 95 grams.

Sample mean is given by

x = $\frac{95}{10}=9.5$ grams .

First we find out the standard error which is given by

$s=\frac{\sigma}{\sqrt{n}}\\\\=\frac{3}{\sqrt{10}}\\\\$ = 0.94868

Since it is normal distribution, so, we will find z-score.

$z=\frac{x-\mu}{s}\\\\z=\frac{9.5-10}{0.94868}\\\\z=-0.527\\\\$

z = - 0.53

The area to the left of a z-score of -0.53 = 0.29805.

So, it may be 90% or 95 % confidence.

For 95% confidence level,

$\alpha=\frac{1-0.95}{2}=0.025$

Similarly,

For 90% confidence level,

$\alpha=\frac{1-0.90}{2}=0.05$

The value is much smaller than 0.05.

So, we will get 90% confidence and the critical value = 1.645

Margin of error is given by

(Standard deviation) $\times$ (critical\ value) = 0.94868 $\times$ 1.645

=1.56

So, confidence interval will be

(10-1.56,10+1.56)

=(8.44,11.56)

4 0

4 years ago

Physics question please show work for brainliest :)

jasenka [17]

You can’t really show work for this problem, but the answer is A. This is because physics is about motion, energy, force and stuff and when you get in to a wreck, there are forces and stuff lol

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4 years ago

A die is numbered 1-6. What is the probability of rolling an even number?

BartSMP [9]

The answer is 3 out of six.

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The slope intercept form

harina [27]

Answer:Slope-intercept form is y = mx + b form, where m represents the slope, and b represents the y-intercept. So if the equation of a line is y = 3/4 x - 2, then the line is written in slope intercept form, or y = mx + b form, with m = 3/4 and b = -2.

Step-by-step explanation:

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3 years ago

Can someone help me with this problem

Naily [24]

<h3>Answer: Choice A</h3><h3>The point Z ' is at (8,4)</h3><h3>The point Y ' is at (0,4)</h3>

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Explanation:

The key thing here is that point Z does not move. Why not? Because this is where the center of dilation occurs. The center point is fixed. Everything around the center will expand away from, or contract toward, the center.

In this case, the scale factor is 4/5 = 0.8 which is less than 1. So points will contract toward the center. The old pre-image shrinks to make the image smaller.

Note how point Y = (-2,4) is 10 units away from point Z. You can count out the spaces or subtract the x coordinates. Use an absolute value to make sure the result is positive

|x1-x2| = |-2-8| = |-10| = 10

|x2-x1| = |8-(-2)| = |8+2| = |10| = 10

So 0.8 times this distance is therefore 0.8*10 = 8 meaning that point Y' is going to be 8 units away from point Z' or Z.

Subtract 8 from the x coordinate of point Z to get x-8 = 8-8 = 0.

The y coordinate stays the same at y = 4 the whole time.

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In short, point Y starts at (-2,4) and moves to (0,4)

Distance from Y to Z is 10 units

Distance from Y' to Z' is 8 units

8/10 = 4/5 = 0.8 is the scale factor

Point Z does not move. So Z and Z' are at the same location.

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3 years ago

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