Answer for x y = 1/4x + 1

3⋅ 3/5 (3/5 is a fraction)

LUCKY_DIMON [66]

Well its a simplest form of zero and 6 tenths and if u divide it by 2 youll get 3/5 as a fraction

6 0

3 years ago

The measure of the vertex angle of an isoceles triangle is one- fourth that of a base angle

horsena [70]

Answer:

Base angle = 72

Vertex angle = 18

Step-by-step explanation:

Measure of the base angle = x. But there are two of them. (Definition of isosceles). Keep that in mind.

The vertex angle is 1/4 of one of the base angles. That means that the vertex is 1/4 x

All three angles = 180 degrees.

So we have x + x + x/4 = 180 degrees.

change 1/4x to 0.25x x since 1/4 = 0.25

Equation

x + x + 0.25 = 180

2.5x = 180

Solution

2.5x = 180 Divide by 2.5 on both sides

2.5x/2.5 = 180/2.5

x = 72

Answer

That means that each base angle = 72 degrees

The Vertex Angle = 72/4 = 18

8 0

3 years ago

Two roots of a 3 degree polynomial equation are 5 and-5

notka56 [123]

Hello,

I suppose you want the equation

There are 2 infinite solutions:
y=k(x-5)²(x+5)
or
y=k(x-5)(x+5)²

3 0

3 years ago

Please help me!

yan [13]

Answer:

80

Step-by-step explanation:

A = Area of First Rectangle 

B = Area of Second Rectangle 

w = Width

12(w)=320+B (1st Equation)

8(w) = B (2nd Equation)

w=B/8 (Plug this value of w into the first equation)

12B/8 = 320 +B (you get this)

12B= 2560 + 8B (Simplify)

4B = 2560

B =640 plug this value into the 2nd equation

8(w) = 640

w = 80

To Test This

12x80 = 960

8x80 = 640

<h3>960 - 640 = 320 Therefore the answer is correct the width is 80</h3>

<h3 />

5 0

2 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