Solve for N: 3n - 7 = 6n

The width of a rectangle is 21 meters. The area is 609 square meters. What is the length?

VLD [36.1K]

Step-by-step explanation:

Remember Area = length X Width

7 0

3 years ago

An article describes a study comparing two methods of measuring mean arterial blood pressure. The auscultatory method is based o

zzz [600]

Answer:

$p_v =P(t_{(5)}>0.499) =0.319$

The p value is higher than any significance level given for example $\alpha=0.05,0.1$ , so then we can conclude that we FAIL to reject the null hypothesis. So we don't have enough evidence to conclude that the mean reading is greater for the auscultatory method at 5% or 10% of significance.

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations we can use it.

Let put some notation

x=Auscultatory method , y = Oscillatory method

x: 74 86 84 79 70 78 79 70

y: 70 85 90 110 71 80 69 74

The system of hypothesis for this case are:

Null hypothesis: $\mu_x- \mu_y \leq 0$

Alternative hypothesis: $\mu_x -\mu_y >0$

The first step is define the difference $d_i=x_i-y_i$ , that is given so we have:

d: 6.6, 4.2, -5.5, -3.1, 9.3, -3.9

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}=1.267$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =6.215$

The fourth step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{1.267 -0}{\frac{6.215}{\sqrt{6}}}=0.499$

The next step is calculate the degrees of freedom given by:

$df=n-1=6-1=5$

Now we can calculate the p value, since we have a right tailed test the p value is given by:

$p_v =P(t_{(5)}>0.499) =0.319$

The p value is higher than any significance level given for example $\alpha=0.05,0.1$ , so then we can conclude that we FAIL to reject the null hypothesis. So we don't have enough evidence to conclude that the mean reading is greater for the auscultatory method at 5% or 10% of significance.

5 0

2 years ago

Duncan earned $22 in interest. If his investment paid 2.5% and he invested his money for 6 months, how much money did he origina

anyanavicka [17]

Answer:

For one month:22*.025=.55

For 6 moths: 6*.55 =3.3

The answer is 3.3 $

6 0

2 years ago

Helpp!!!!<br> Give the relation and identify the x and y axis intercepts.

densk [106]

Answer:

(2, 0) and (6, 0)

Step-by-step explanation:

$y = x^2 - 8 x + 12$

To get the x intersept put y = 0

$x^2 - 8 x + 12 = 0 \\\\x^2 - 6 x - 2 x + 12 = 0 \\\\x(x- 6) - 2(x - 6) = 0 \\\\(x - 2) (x - 6) = 0 \\\\x = 2 and x = 6$

So, the intersepts are

(2, 0) and (6, 0)

8 0

3 years ago

Given that ∠ABC is bisected by BD→, m∠ABD = (-159 – 12x)°, and m∠DBC = (3x + 96)°, find x and m∠ABC.

laiz [17]

When anything is bisected, the two halves are equal. This means
(-159 - 12x) = (3x + 96)
-255 = 15x . . . . . . . . . . . . . add 12x-96
-17 = x

Then either of the smaller angles is
(3(-17) + 96)° = 45°

angle ABC is twice this value, or 90°.

7 0

3 years ago

Solve for N: 3n - 7 = 6n - 2n