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snow_lady [41]
3 years ago
11

Alan is converting large and small numbers from standard notation to scientific notation. Group the numbers according to their p

owers of 10.
Mathematics
1 answer:
astra-53 [7]3 years ago
4 0
We can’t see the numbers
You might be interested in
Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow
Pavel [41]

Answer:

z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53

Step-by-step explanation:

Data given and notation

\bar X_{1}=104 represent the mean for the sample 1

\bar X_{2}=106 represent the mean for the sample 2

\sigma_{1} =8.4 represent the population standard deviation for the sample 1

\sigma_{2}=7.6 represent the population standard deviation for the sample 2

n_{1}=80 sample size for the group 1

n_{2}=70 sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0:\mu_{1}-\mu_{2} =0

H1:\mu_{1} -\mu_{2} \neq 0

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53

7 0
3 years ago
This is pretty simple, but the wording gets me. Is choice B correct as well, I’m not really sure. Please help
Oliga [24]
I’m not 100% sure but i think ur answer rn is correct don’t check the second box
7 0
3 years ago
PLEASE HELP!!! <br> show work if possible!:)
satela [25.4K]

Answer:

The answer to your question is y = 2x + 11

Step-by-step explanation:

Data

Original line   y = -(1/2)x + 5

Point (-4, 3)

Process

1.- Get the slope of the new line

- Slope of the original line = -1/2

  If the lines are perpendicular, the slopes must be reciprocal

                       -1/2  reciprocal = 2

2.- Get the equation of the new line

          y - y1 = m(x - x1)

          y - 3 = 2(x + 4)

- Simplification

         y - 3 = 2x + 8

- Solve for y

        y = 2x + 8 + 3

        y = 2x + 11

7 0
3 years ago
Read 2 more answers
Any help would be appreciated! ​
tensa zangetsu [6.8K]

Use disruptive property

6 0
3 years ago
Find the area pleaseeeeeeee
dusya [7]

Answer:

140 units²

Step-by-step explanation:

1/2bh=

1/2(15-5)(30-2)=

1/2 (10)(28)=140

4 0
3 years ago
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