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aleksklad [387]
3 years ago
12

Simplify the expression so there is only one positive power for each base. (5^-2 x 4^-4)^-2

Mathematics
2 answers:
RideAnS [48]3 years ago
7 0

Can confirm the answer is A

faltersainse [42]3 years ago
6 0
(a\cdot b)^n=a^n\cdot b^n\\(a^n)^m=a^{n\cdot m}\\\\(5^{-2}\cdot4^{-4})^{-2}=(5^{-2})^{-2}\cdot(4^{-4})^{-2}=5^{-2\cdot(-2)}\cdot4^{-4\cdot(-2)}\\\\=\boxed{5^4\cdot4^8}\to\fbox{A.}
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The mean number of English courses taken in a two–year time period by male and female college students is believed to be about t
prisoha [69]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let m be the subscript for the number of English courses taken by male students and f be the subscript for the number of English courses taken by female students.

Therefore, the population means would be μm and μf.

The random variable is xm - xf = difference in the sample mean number of English courses taken by male and female students.

We would set up the hypothesis.

The null hypothesis is

H0 : μm = μf H0 : μm - μf = 0

The alternative hypothesis is

H1 : μm ≠ μf H1 : μm - μf ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(xm - xf)/√(sm²/nm + sf²/nf)

From the information given,

xm = 3

xf = 4

sm = 0.8

sf = 1

nm = 29

nf = 16

t = (3 - 4)/√(0.8²/29 + 1²/16)

t = - 11.82

The formula for determining the degree of freedom is

df = [sm²/nm + sf²/nf]²/(1/nm - 1)(sm²/nm)² + (1/nf - 1)(sf²/nf)²

df = [0.8²/29 + 1²/16]²/[(1/29 - 1)(0.8²/29)² + (1/16 - 1)(1²/16)²] = 0.00715/0.00027781093

df = 25.7

Approximately, df = 26

We would determine the probability value from the t test calculator. It becomes

p value = 0.00001

Assuming a level of significance of 0.05, we would reject the null hypothesis because the p value, 0.00001 is < 0.05

Therefore, we can conclude that the means are not statistically the same.

3 0
3 years ago
Help Me Now!!!<br> need help with b c and d
algol [13]

Answer:

b) Take the current height, and add up 15.

c) y = 80x + 15

where y is the height of the water in the pool, in centimeters

where x is the time since the hose is in the pool, in hours

d) 180 = 80x + 15

165 = 80x

x = 165/80 = 2.0625 hours, which is also 2 hours and 3 minutes.

8 0
2 years ago
You want to pick two winning raffle tickets out of a hat and you are given two chances. Any blue
Fittoniya [83]

Answer:

20% chance

Step-by-step explanation:

20 is the whole

5 times 20 is 100

5% = 1 ticket

5% times 4 is 20%

7 0
2 years ago
Help me with this for 50 points.
inn [45]

Answer:

1/2 or 1:2

Step-by-step explanation:

3 circles to 6 squares

3/6 simplified is 1/2

6 0
2 years ago
What is 2/3 x 5/6 x 14=
il63 [147K]
I did it on the calculator and the answer is 7.77777777778

7 0
2 years ago
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