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il63 [147K]
2 years ago
14

If the letters in the word decagon are arranged at random, find the probability that the first letter is a g

Mathematics
1 answer:
bazaltina [42]2 years ago
5 0

2/7. There are 2 G's out of a total of 7 letters in the word.

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Help me out please T-T​
Anettt [7]

Answer:

The simplyfied version would be 19/4

Show of work:

(1/4)^-2 = 4^2

3 × 8^2/3 × 1 = 12

(9/16)^1/2 = 3/4

4^2 - 12 + 3/4

Convert elements to fractions:

-12 × 4 + 3

---------- ----

4 4

Since the denominators are equal combine the fractions:

-12 × 4 + 3

---------------

4

-12 × 4 + 3 = -45

= -45/4

=4^2 - 45/4

4^2 = 16

16 - 45/4

16 × 4 - 45. 16 × 4 - 45

--------- ----- ----------------

4 4. 4

-> 16 × 4 - 45 = 19

= 19/4

7 0
2 years ago
Read 2 more answers
Need to know angle 1, angle 2, angle 3
wolverine [178]

Answer: Step-by-step explanation:

angle 1=41°

angle 2=angle 1=41°

angle 3=180-2×41=98

4 0
2 years ago
Need help please thank you
marshall27 [118]
which one, and um this catagory is english
5 0
3 years ago
Read 2 more answers
The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes
devlian [24]

Answer:

(a) There is no evidence to support the claim that the two machines produce rods with different mean diameters.

P-value is 0.818

(b) 95% confidence interval for the difference in mean rod diameter is (-0.17, 0.27).

This interval shows that the difference in mean is between -0.17 and 0.27.

Step-by-step explanation:

(a) Null hypothesis: The two machines produce rods with the same mean diameter.

Alternate hypothesis: The two machines produce rods with different mean diameter.

Machine 1

mean = 8.73

variance = 0.35

n1 = 15

Machine 2

mean = 8.68

variance = 0.4

n2 = 17

pooled variance = [(15-1)0.35 + (17-1)0.4] ÷ (15+17-2) = 11.3 ÷ 30 = 0.38

Test statistic (t) = (8.73 - 8.68) ÷ sqrt[0.38(1/15 + 1/17)] = 0.05 ÷ 0.218 = 0.23

degree of freedom = n1+n2-2 = 15+17-2 = 30

Significance level = 0.05 = 5%

Critical values corresponding to 30 degrees of freedom and 5% significance level are -2.042 and 2.042.

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.23 falls within the region bounded by the critical values -2.042 and 2.042.

There is no evidence to support the claim that the two machines produce rods with different mean diameters.

Cumulative area of test statistic is 0.5910

The test is a two-tailed test.

P-value = 2(1 - 0.5910) = 2×0.409 = 0.818

(b) Difference in mean = 8.73 - 8.68 = 0.05

pooled sd = sqrt(pooled variance) = sqrt(0.38) = 0.62

Critical value (t) = 2.042

E = t×pooled sd/√n1+n2 = 2.042×0.62/√15+17 = 0.22

Lower limit of difference in mean = 0.05 - 0.22 = -0.17

Upper limit of difference in mean = 0.05 + 0.22 = 0.27

95% confidence interval for the difference in mean rod diameter is between a lower limit of -0.17 and an upper limit of 0.27.

3 0
3 years ago
What is the answer to<br> -2a-9=6a+15
timurjin [86]

Answer:

a=-3

Step-by-step explanation:

-2a-9=6a+15

Add 9 to both sides:

-2a-9+9=6a+15+9

-2a=6a+24

Subtract 6a from both sides:

-2a-6a=6a+24-6a

-8a=24

Divide both sides by -8:

\frac{-8a}{-8}=\frac{24}{-8}

a=-3

4 0
3 years ago
Read 2 more answers
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