3 years ago

What is the unit's digit of 3127 to the power of 173

1 answer:

8 0

3127^173 ≡ 7^173 mod 10

Now - let's look at the powers of 7 mod 10:

7^1 = 7 mod 10
7^2 = 49 ≡ 9 mod 10
7^3 ≡ 3 mod 10
7^4 ≡ 1 mod 10

And this cycle repeats. So

7^173 ≡ 7^1 ≡ 7 mod 10

The last digit is 7.

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Suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims that the percentage

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Answer: a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : $H_0:p=P$

Alternate hypothesis : $H_1:p\neq P$

So, the test statistic would be

$z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252$

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

$P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219$

Hence, a) -0.2252, b) 0.8219

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2 years ago

What is the quotient of 74.75 and 10 to the second power?

Semmy [17]

10 to the second power=100
74.75/100= .7475

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3 years ago

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Please help me with this homework question. No silly answers please and no bots, links, etc! I will mark brainliest to whoever g

Andre45 [30]

Answer:

T = (m × 20) + 25

(2.5 × 20) + 25 = 75

<u>75 minutes</u>

110 - 25 = 85

85 ÷ 20 = 4.25

<u>4.25 kilograms</u>

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3 years ago

Whitch is the value of this expression when a=5 and k=-2

lana66690 [7]

Answer:

25/9

Step-by-step explanation:

25/9

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You withdraw $29.79 from your bank account. Now your balance is −$20.51. Write and solve an equation to fi nd the amount of mone

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x=original cost

9.24= x if you need it

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