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4 years ago

Explain how to find the input given a function rule and output

1 answer:

4 0

So exg

input is the numbers that will work so normally the range is all real numbers

make sure that you don't have any numbers that will make impossiblities exg
is the function is f(x)=3/x you can't use 0 for x because 3/0 is undifined and is impossible so

input is the numbers you put in
out put is what numbesr you get from the input exg

if function =f(x)+x+3 then
if input=3,5,6 then output is
(replaace 3,5,6 for x and solve)
output is 6,8,9

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Two brands of AAA batteries are tested in order to compare their voltage. The data summary can be found below. Find the 93% conf

kobusy [5.1K]

Answer:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_}{n_2}}$

And replacing we got:

$(9.2 -8.8) - 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.2903$

$(9.2 -8.8) + 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.5097$

And the confidence interval for the difference of means would be given by:

$0.2903 \leq \mu_1 -\mu_2 \leq 0.5097$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

We have the following data given:

$\bar X_1 = 9.2 , \bar X_2 = 8.8, \sigma_1= 0.3, n_1 = 27, \sigma_2 = 0.1, n_2 = 30$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 93% of confidence, our significance level would be given by $\alpha=1-0.93=0.07$ and $\alpha/2 =0.035$ . And the critical value would be given by:

$z_{\alpha/2}=-1.811, z_{1-\alpha/2}=1.811$

The confidence interval is given by:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_}{n_2}}$

And replacing we got:

$(9.2 -8.8) - 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.2903$

$(9.2 -8.8) + 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.5097$

And the confidence interval for the difference of means would be given by:

$0.2903 \leq \mu_1 -\mu_2 \leq 0.5097$

4 0

3 years ago

Simplify.

tresset_1 [31]

Answer is B
<span>6x5−12x4+9x3</span>

6 0

3 years ago

Read 2 more answers

In triangle UVW, UW is extended through point W to point X, angle VWX = (7x + 10), angle WUV = (2x + 20°, and angle UVW = (2x +

kow [346]

Serious Question That may give you 100% Verify right answer:

Do you have a Image since I already answer here the answer

Answer

5.0/5

oeerivona

Answer:

The value of x is 9°

Step-by-step explanation:

The given parameters are;

ΔUVW with side UW extended to X

m∠UVW = (3x + 4)°

m∠VWX = (8x -12)°

m∠WUV = (x + 20)°

We have that m∠UVW + m∠WUV + m∠VWU = 180° (Sum of the interior angles of a triangle theorem)

∴ m∠VWU = 180° - (m∠UVW + m∠WUV)

Also we have that m∠VWX and m∠VWU are supplementary angles, (The sum of angles on a straight line)

∴ m∠VWX + m∠VWU = 180° (Definition of supplementary angles)

m∠VWU = 180° - m∠VWX

∴ m∠VWX = (m∠UVW + m∠WUV)

Substituting the values, gives;

(8x -12)° = (3x + 4)° + (x + 20)°

8x - 3x - x = 4 + 20 + 12

4x = 36

x = 36/4 = 9

x = 9°.

4 0

3 years ago

What is x-2=12 <br> I will reward best answer

zavuch27 [327]

I think the answer us x=14

6 0

3 years ago

Read 2 more answers

8. A school cafeteria

Margarita [4]

the school purchased 742 items in total.

Just add 256+332+154

which equals...742. :)

5 0

2 years ago

Read 2 more answers