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Virty [35]
1 year ago
9

11. Susan was given the following number to convert to scientific notation: 12,050,000

Mathematics
1 answer:
pashok25 [27]1 year ago
5 0

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

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An experiment on memory was performed, in which 16 subjects were randomly assigned to one of two groups, called "Sentences" or "
FromTheMoon [43]

Answer:

There is no significant difference between the averages.

Step-by-step explanation:

Let's call

\large X_{sentences} the mean of the “sentences” group

\large S_{sentences} the standard deviation of the “sentences” group

\large X_{intentional} the mean of the “intentional” group

\large S_{intentional} the standard deviation of the “intentional” group

Then, we can calculate by using the computer

\large X_{sentences}=28.75  

\large S_{sentences}=3.53553

\large X_{intentional}=31.625

\large S_{intentional}=1.40788

\large X_{sentences}-X_{intentional}=28.75-31.625=-2.875

The <em>standard error of the difference (of the means)</em> for a sample of size 8 is calculated with the formula

\large \sqrt{(S_{sentences})^2/8+(S_{intentional})^2/8}

So, the standard error of the difference is

\large \sqrt{(3.53553)^2/8+(1.40788)^2/8}=1.34546

<em>In order to see if there is a significant difference in the averages of the two groups, we compute the interval of confidence of  95% for the difference of the means corresponding to a level of significance of 0.05 (5%). </em>

<em>If this interval contains the zero, we can say there is no significant difference. </em>

<em>Since the sample size is small, we had better use the Student's t-distribution with 7 degrees of freedom (sample size-1), which is an approximation to the normal distribution N(0;1) for small samples. </em>

We get the \large t_{0.05} which is a value of t such that the area under the Student's t distribution  outside the interval \large [-t_{0.05}, +t_{0.05}] is less than 0.05.

That value can be obtained either by using a table or the computer and is found to be

\large t_{0.05}=2.365

Now we can compute our confidence interval

\large (X_{sentences}-X_{intentional}) \pm t_{0.05}*(standard \;error)=-2.875\pm 2.365*1.34546

and the confidence interval is

[-6.057, 0.307]

Since the interval does contain the zero, we can say there is no significant difference in these samples.

6 0
2 years ago
Describe in words the region of double-struck R3 represented by the inequality. 0 ≤ z ≤ 7 The inequality 0 ≤ z ≤ 7 represents al
qwelly [4]

Answer:

All points between z = 0 and z = 7 along the z-azis in R3 x-y-z plane

Step-by-step explanation:

The inequality 1 \le z  \le7 represents all sets of points on the z-axis in the R3 plane that lies bewteen z = 0 and z= 7.

It is represents a line segment joining two point z= 0 and z=7 along z- axis in the R3 plane, while x=0 and y=0 on the x-y plane.

4 0
2 years ago
If Ethan takes out a $5,000 loan to buy a motorcycle and his payments are $168.45 a month for 36 months, how much money will he
Vilka [71]

Answer:

  $1064.20

Step-by-step explanation:

36 payments of $168.45 have a total of $6064.20. The excess over the loan amount of $5000 is the interest paid:

  $6064.20 -5000 = $1064.20 . . . . interest paid

4 0
1 year ago
Avery uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She wants to buy 10\,\t
Tcecarenko [31]

Answer: she needs to buy 80kg of

dark chocolate and 70kg of milk chocolate.

Step-by-step explanation:

Let d represent the number of kilograms of dark chocolate that she buys.

Let m represent be the number of kilograms of milk chocolate that she buys.

She wants to buy 10g more of dark chocolate than milk chocolate. This means that

x = y + 10

She needs 150kg of chocolate in total for her next order. This means that

x + y = 150 - - - - - - - - - - - --1

Substituting x = y + 10 into equation 1, it becomes

y + 10 + y = 150

2y + 10 = 150

2y = 150 - 10 = 140

y = 140/2 = 70

x = y + 10 = 70 + 10

x = 80

8 0
1 year ago
Read 2 more answers
A circle has a circumference of \blue{12}12start color #6495ed, 12, end color #6495ed. It has an arc of length \dfrac{8}{5} 5 8
Thepotemich [5.8K]

Answer:

Therefore,

The Central Angle is 48°.

Step-by-step explanation:

Given:

Circumference = 12 units

Arc\ length = \dfrac{8}{5}= 1.6\ unit

To Find:

Central angle = θ = ?

Solution:

If "θ" the central angle is in degree then arc of length is given by

Arc\ length = \dfrac{\theta}{360}\times Circumference

Substituting the values we get

1.6 = \dfrac{\theta}{360}\times 12\\\\\theta = 48\°

Therefore,

The Central Angle is 48°.

6 0
1 year ago
Read 2 more answers
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