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stiks02 [169]
3 years ago
5

Alfred is practicing typing. The first time he tested himself, he could type 27 words per minute. After practicing for a week, h

e could type 29 words per minute. After two weeks he could type 31 words per minute. Based on this pattern, predict how fast Alfred will be able to type after four weeks of practice.
Mathematics
1 answer:
Minchanka [31]3 years ago
7 0
In four weeks, he would be able to type 35 words a minute. See how it goes up two words per week. He started with 27 words, then after one week, it was 29, and after two weeks, it was 31, so after three weeks, 33, and in four weeks, 35. See the pattern? It counts by twos.
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Which graph represents the function y = 2x - 4?
erastovalidia [21]

Answer:

the third graph.

the one where x intercept with 2

Step-by-step explanation:

2x-4=0

2x=4

x=2

therefore the graph should have a line that have a x-intercept of 2

3 0
3 years ago
You may need to use the appropriate technology to answer this question. A survey was conducted to determine whether hours of sle
Marina CMI [18]

Answer:

1) The null and alternative hypotheses.

H0: Hours of sleep per night is independent of age.

Ha: Hours of sleep per night is not independent of age.

Test Statistics χ²=4.009

The corresponding p-value for the test at χ²= 4.009 is 0.2604

Step-by-step explanation:

1) The null and alternative hypotheses.

H0: Hours of sleep per night is independent of age.

Ha: Hours of sleep per night is not independent of age.

2) The data is

                              ≤ 39           ≥ 40              Total

6 hours                    36               34                70

6.9-7 hours              60              57               117

7- 7.9 hours              79              77               156

<u>8 hours or more       65              92              157</u>

<u>Total                       240           260             500</u>

<u />

3) The expected values are computed as follows

260×70/500=36.4

240×117/500 =56.16

260×117/500 =60.84

240×156/500 =74.88

260×156/500 =81.12

240×157/500=75.36

260×157/500 =81.64

4) The squared distances are calculated as

{(36 - 33.6)^2}/{ 33.6} = 0.171

{(34 - 36.4)^2}{ 36.4} = 0.158

{(60 - 56.16)^2}/{ 56.16} = 0.263

{(57 - 60.84)^2}/{ 60.84} = 0.242

{(79 - 74.88)^2}/{ 74.88} = 0.227

{(77 - 81.12)^2}/{ 81.12} = 0.209

{(65 - 75.36)^2}/{ 75.36} = 1.424

{(92 - 81.64)^2}{ 81.64} = 1.315

5) The significance level is set at α=0.05 for df = (4 - 1) (2 - 1) =3

degrees of freedom.

6) The critical region for this test is χ² = χ² >7.815

7) Test Statistics

χ²=i=∑(O ij −Eij )2/Eij

=0.171+0.263+0.227+1.424+0.158+0.242+0.209+1.315

= 4.009

8) Conclusion

As the calculated value χ² =4.009 does not lie in the critical region ≤χ² =7.815, null hypothesis is not rejected.

Therefore, we conclude that there is not enough evidence to accept the alternate hypothesis , at the α=0.05 significance level.

The p-value for the test at χ²= 4.009 is 0.2604

5 0
3 years ago
jack wants to paint his walls. two walls are 12 ft by 8 ft and two walls are 10 ft by 8 ft. what is the area to be painted? if o
Ksivusya [100]

Answer:

352 ft (squared)  , he will need 12 paint cans

Step-by-step explanation:

Two 12 by 8ft walls = 192 ft in area, Two 10 by 8ft walls = 160 ft in Area, that equals 352 ft total, 352/30=11.73 repeated, round up to 12

4 0
3 years ago
Please help me! Thanks
Molodets [167]
(Cross Multiply)2a+2b=a-b
a=-3b
if b=1; a=-3
correct answer is -3..
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4 0
4 years ago
Read 2 more answers
Apply the distributive property to write an equivalent expression 21b + 23c
klemol [59]

Answer:

7 (3b + 23/7 c)

Step-by-step explanation:

Normally, distributive property to find out a common denominator requires both constants (21 and 23) to have a common denominator which isn't present in this case. Therefore, you would require a fraction in your answer.

4 0
4 years ago
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