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2 years ago

Use the binomial theorem to write the binomial expansion of (x+3)4 but the 4 is Square

Mathematics

1 answer:

Vladimir [108]2 years ago

6 0

(x+3)^4=(x+3)^2)^2=(x^2+6x+9)^2=x^4+36x^2+81+12x^3+108x

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Batteries produced by a manufacturing company have had a life expectancy of 135 hours. Because of an improved production process

Nikolay [14]

Answer: c. z = 1.35; Reject the null hypothesis

Step-by-step explanation:

Let $\mu$ be the average life expectancy of its batteries.

As per given , we have

Null hypothesis : $H_0 : \mu =135$

Alternative hypothesis : $H_a : \mu >135$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Test statistic : $\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overlien{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=42,\ \overline{x}=140\ \&\ \sigma=24$ , we have

$z=\dfrac{140-135}{\dfrac{24}{\sqrt{42}}}=1.35015431217\approx1.35$

Critical one-tailed test value for 0.10 significance level :

$z_{0.1}=1.28$

Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .

[When critical value is less than the test statistic value , we reject the null hypothesis .]

5 0

2 years ago

Greatest common factor 3a^3+9a^2

BaLLatris [955]

Answer:

27A+81A =108

Step-by-step explanation:

7 0

2 years ago

harrison is playing a board game that has a path of 100 space. after his first turn,he is 1/5 of the way along the spaces. on hi

Kryger [21]

On his first turn he moves one fifth of one hundred what is equal to twenty on second turn he moves twenty less one fourth of twenty what is equal to fifteen. In last time he moves eleven fourths of twenty what is equal to fifty five. Then 3rd turn he has moved ninety spaces

i hope this helps :)

3 0

2 years ago

Solve with using elimination 3х + 5y = 54 6х +4y = 72

pickupchik [31]

Answer:

y = 6 x=8

Step-by-step explanation:

(3х + 5y = 54)-2 times by -2

6х +4y = 72

-6х + -10y = -108 now combine the equations

6х + 4y = 72

-6y = -36 now divide