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kumpel [21]

To estimate, you would usually round to a significant figure
so, 20* 70=1400

The actual answer is 1521, so we know we are close

3 0

3 years ago

The strength of paper used in the manufacturing of cardboard boxes (y) is related to percentage of hardwood concentration in the

Elena-2011 [213]

Answer:

At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.

P-value = 0.003.

Step-by-step explanation:

If we perform a regression analysis relating x and y, we get the best fitting line with equation:

$y=15.82x+92.9$

and a correlation coefficient r:

$r=0.693$

We have to test the hypothesis, where the alternative hypothesis claims that there is a relationship between these two variables, and the null hypothesis claiming there is no relationship (meaning that the correlation is not significantly different from 0).

This can be written as:

$H_0: \rho=0\\\\H_a:\rho\neq0$

where ρ is the population correlation coefficient for x and y.

The significance level is assumed to be 0.05.

The sample size is n=16.

The degrees of freedom are df=14.

$df=n-2=16-2=14$

The test statistic can be calculated as:

$t=\dfrac{r\sqrt{n-2}}{\sqrt{1-r^2}}=\dfrac{0.693\sqrt{14}}{\sqrt{1-(0.693)^2}}=\dfrac{2.593}{0.721}=3.597$

For a test statistic t=2.05 and 14 degrees of freedom, the P-value is calculated as:

$\text{P-value}=2\cdot P(t>3.597)=0.003$

The P-value (0.003) is smaller than the significance level (0.05), so the effect is significant enough.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.

3 0

3 years ago

1) The angle of elevation of the top of the building at a distance of 50 m from its foot on a horizontal

seropon [69]

Answer:

the height of the building is 86.6m

Step-by-step explanation:

In the right triangle, the height which we are looking for is the opposite side, since it is opposite to the angle 60°

Now we need to find the height of the building

tanθ = Opposite side/Adjacent side

tan 60° = Opp side/Adj side

1.7321 = Opp side/50

1.7321 x 50 = Opp side

Opp side = 50 x 1.7321

Opp side = 86.6 m

Therefore, the height of the building is 86.6m.

8 0

3 years ago

Coach Wilson ordered T-shirts for the basketball team from two different T-shirt suppliers. One supplier charged $16 for each sh

zhuklara [117]

Part A:
# of shirts bought in total (T)times cost of each shirt (E) =X. X times .5 (same as 5%)= shipping charge (S) =
first: T*E=X. second: X*.5=S

Part B:
vendor 1:
# of shirts bought (A) times cost of each shirt (B) plus shipping charge(C) times 10%=T. A*B+C*.10=T

vendor 2:
# of shirts bought (A) times cost of each shirt (B) plus shipping charge (C) minus $20= T. A*B+C-20=T

Part C:

vendor 1:
15*16=240 (total # of shirts * cost of ea.)
240+8= 248 (1st answer + $8 of shipping)
248*.10= 24.80 (2nd answer * 10% discount)
248-24.80= [223.20] (2nd answer - 10%)
vendor 1 total cost: 223.20.

vendor 2:
15*18=270 (# of shirt bought * cost of ea.)
270+12.60=280.60 (answr 1 + shipping cost)
280.60-20=[260.60](answr 2 -$20discount)
vendor 2 total cost: 260.60.

4 0

3 years ago

The Drama Club held a car wash to raise money. The equation y = 15x represents the amount of money y club members made for washi

oksian1 [2.3K]

Answer:

15

Step-by-step explanation:

Given that:

y = 15x

y = amount of money made by club members made for washing cars

x = number of cars washed

From the equation given ;

Amount made is directly proportional the number of cars washed

Mathematically,

y α x

y = kx

Where k = constant of proportionality

Comparing the given equation with

y = kx

y = 15x

k = 15 = constant of proportionality

7 0

3 years ago