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4 years ago

If f(1)=3 and f(n)=-2f(n-1)+1,then f(5)=

1 answer:

5 0

F(5) = - 2f(4) + 1
f(4) = -2f(3) + 1
f(3) = -2f(2) + 1
f(2) = -2f(1) + 1
Therefore:
f(2) = -2(3) + 1 = -5
f(3) = -2(-5) + 1 = 11
f(4) = -2(11) + 1 = -21
Therefore f(5) = -2(-21) + 1 = 43

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Harry has a cube with a side length of 7 cm. What is the volume of Harry's cube?

Sonbull [250]

Given,

Side = 7 cm

We know that,

Volume of a cube = side³

So, volume of Harry's cube

= (7 cm)³

= 343 cm³

3 0

3 years ago

MUST BE CORRECT ANSWER HELP ASAP

Nina [5.8K]

Answer:

40287600 = B. 4 x $10^{7}$

Step-by-step explanation:

<u>We first have to do the multiplication of the numbers given:</u>

19 * 2,120,400

=> 40287600

<u>Now we have to figure out how many digits are after the number 4:</u>

4, 0 2 8 7 6 0 0

7 digits

Meaning that we need an exponent of 7 for it to be in scientific notation, giving us with the answer B. 4 x $10^{7}$

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3 years ago

Assume the general population gets an average of 7 hours of sleep per night. You randomly select 45 college students and survey

tekilochka [14]

Answer:

a) ii. This is a left-tailed test.

b) -1.59

c) -1.301

d) i. reject null hypothesis

e) Option i) The data supports the claim that college students get less sleep than the general population.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 7 hours

Sample mean, $\bar{x}$ = 6.87 hours

Sample size, n = 45

Alpha, α = 0.10

Sample standard deviation, s = 0.55 hours

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 7\text{ hours}\\H_A: \mu < 7\text{ hours}$

a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{6.87 - 7}{\frac{0.55}{\sqrt{45}} } =-1.59$

c) Now,

$t_{critical} \text{ at 0.10 level of significance, 44 degree of freedom } = -1.301$

Since,

$t_{stat} < t_{critical}$

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that mean number of hours of sleep for all college students is less than 7 hours.

e) Option i) The data supports the claim that college students get less sleep than the general population.

8 0

3 years ago

Which values of a and b make the equation true

bixtya [17]

Love your profile pic

5 0

3 years ago

Which expression is equivalent to (7x+9y)2

Arada [10]

Answer:

$49x^2+126xy+81y^2$

Step-by-step explanation:

Use the square of a binomial theorem

$(a+b)^2$ = $a^2+2ab+b^2$

Now expand the given equation:

$(7x+9y)^2=49x^2+126xy+81y^2$

Hope this helps :)

Have a great day!

6 0

3 years ago