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Akimi4 [234]
3 years ago
8

What is the 100th term in the sequence 5, 9, 13, 17, 21 ?

Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

401

Step-by-step explanation:

a=5

d=9-5=4

a_{n}=a+(n-1)d\\a_{100}=5+(100-1)4=5+400-4=401

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A number cube was rolled as part of an experiment. The results are shown in the table. Explain how to find the experimental prob
pychu [463]

The experimental probability of rolling a 6 is 9/60  which can be determined by dividing the frequency of the observation 6 with the total frequency of the experiment.

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

Experimental probability is different from theoretical probability because the former is obtained by experimentation  while the latter is what we expect theoretically.When we take a number of observations, the experimental probability and theoretical probability need not be the same.

In this question we have to determine the experimental probability of 6. It can be determined by dividing the frequency of the observation 6 by the total frequency of the experiment.

frequency of 6=9

total frequency=frequency of 1+frequency of 2+frequency of 3+frequency of 4+frequency of 5+frequency of 6

=13+11+9+8+10+9

=60

P(6)=frequency of 6/total frequency

=9/60

4 0
3 years ago
Read 2 more answers
The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experi- mental conditio
zzz [600]

Answer:

see explaination

Step-by-step explanation:

Data : 32.1 , 30.6 , 31.4 , 30.4 , 31.0 , 31.9

Mean X-bar = 31.23

SD = 0.689

a)

Null Hypothesis : Xbar = mu

Alternate Hypothesis : Xbar > mu

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 30 ) /(0.689/sqrt(6))

= 4.372

P-value = ~0

Since P-vale < 0.01 , we will reject null hypothesis.

The data suggest that true average stopping ditance exceeds the maximum.

b)

i) SD = 0.65

mu = 31

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 31) /(0.65/sqrt(6))

= 0.867

P-value = 0.3859 Answer

ii) SD = 0.65

mu = 32

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 32) /(0.65/sqrt(6))

= -2.9

P-value = 0.0037 Answer

c)

i) SD = 0.8

mu = 31

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 31) /(0.8/sqrt(6))

= 0.704

P-value = 0.4814 Answer

ii) SD = 0.8

mu = 32

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 32) /(0.8/sqrt(6))

= -2.357

P-value = 0.0184 Answer

The probabilities obtained in part c are comparatively higher than that of part b.

d)

i) For alpha =0.01

z = (Xbar - mu) / (SD/sqrt(n))

=> -2.32 = (31.23 - 31) /(0.65/sqrt(n))

=> (0.65/sqrt(n)) = (31.23 - 31)/-2.32

=> sqrt(n) = (0.65*(-2.32)) / (31.23 - 31)

=> n = 43 Answer

ii) For beta =0.10

z = (Xbar - mu) / (SD/sqrt(n))

=> -1.28 = (31.23 - 31) /(0.65/sqrt(n))

=> (0.65/sqrt(n)) = (31.23 - 31)/-1.28

=> sqrt(n) = (0.65*(-1.28)) / (31.23 - 31)

=> n = 13 Answer

4 0
2 years ago
3+6×5+4÷2-7 using the same expression,add parentheses so that the value of the expression is 38​
solmaris [256]

Answer:

3+6×(5+4÷2)-7  

Step-by-step explanation:

To solve the expression use order of operations.

Right now the expression solves to:

3+6×5+4÷2-7                  6* 5 = 30

3 + 30 + 4÷2-7                4 ÷ 2 = 2

3 + 30 + 2 - 7                   Add and subtract left to right.

33 + 2 - 7

35 - 7

28

To make it solve to 38, add parenthesis:

3+6×(5+4÷2)-7                (5+4÷2) = 7

3+6×(7)-7                        6*7 = 42

3 + 42 - 7                        Add and subtract from left to right

45 - 7

38

7 0
3 years ago
Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this proble
vagabundo [1.1K]
How you would solve this is move the letter so that it would say h=a/b so that means the answer is 330/22= 15 the answer is 15
5 0
2 years ago
_____ hg = 45 grams<br> Please help me out
likoan [24]

Answer:

0.45hg

Step-by-step explanation:

Just move the decimal place two places to the left when converting something to hectograms, for example 1045 grams is 10.45 hectograms just move the decimal place twice to the left for this conversion.

5 0
3 years ago
Read 2 more answers
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