Find the area enclosed by one leaf of the rose r = 4 cosine (5 theta ).

Westkost [7]

Answer:

math is a difficult subject

7 0

3 years ago

Michael is making a backdrop for the school play.He bought 4 rolls of material to use.He used 27 square feet of material for the

charle [14.2K]

27+5= 32 total square feet.
32/4= 8 square feet per roll.

7 0

3 years ago

A forester studying diameter growth of red pine believes that the mean diameter growth will be different from the known mean gro

-Dominant- [34]

Answer:

$t=\frac{1.6-1.35}{\frac{0.46}{\sqrt{32}}}=3.07$

The degrees of freedom are given by:

$df =n-1= 32-1=31$

Since is a two-sided test the p value would be:

$p_v =2*P(t_{31}>3.07)=0.0044$

Since the p value is a very low value we have enough evidence to conclude that true mean is significantly different from 1.35 in/year at any significance level commonly used for example ( $\alpha=0.01,0.05, 0.1, 0.15$ ).

Step-by-step explanation:

Data given and notation

$\bar X=1.6$ represent the sample mean

$s=0.46$ represent the sample deviation

$n=32$ sample size

$\mu_o =1.35$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 1.35 in/year, the system of hypothesis would be:

Null hypothesis: $\mu =1.35$

Alternative hypothesis: $\mu \neq 1.35$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{1.6-1.35}{\frac{0.46}{\sqrt{32}}}=3.07$

P-value

The degrees of freedom are given by:

$df =n-1= 32-1=31$

Since is a two-sided test the p value would be:

$p_v =2*P(t_{31}>3.07)=0.0044$

Since the p value is a very low value we have enough evidence to conclude that true mean is significantly different from 1.35 in/year at any significance level commonly used for example ( $\alpha=0.01,0.05, 0.1, 0.15$ ).

5 0

3 years ago

Simplify the Expression<br> - 1/2 (8b+3)+3b=

Anna35 [415]

Answer:

-b -3/2

Step-by-step explanation:

-1/2(8b+3) + 3B (a negative times a positive equals a negative)

1. Mutiply -1/2 by 8b and then by 3

(-1/2 x 8b -1/2 x 3) + 3b

-4b - 3/2 + 3b

2. Add -4b + 3b = -b

-b - 3/2

5 0

3 years ago

Find the equation of the line that is parallel to the

zepelin [54]

9514 1404 393

Answer:

y = -x -12

Step-by-step explanation:

The slope of the line you want is the same as the slope of the line you have: -1. Then the point-slope equation of the line is ...

y -k = m(x -h) . . . . . . line of slope m through point (h, k)

y -(-7) = -1(x -(-5))

y = -x -5 -7 . . . . subtract 7, eliminate parentheses

y = -x -12 . . . slope-intercept equation

6 0

3 years ago