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lyudmila [28]
2 years ago
13

-43/50 as a decimal number

Mathematics
1 answer:
Natali [406]2 years ago
7 0

Answer:

-0.86

Step-by-step explanation:

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What is the perimeter of the triangle
KengaRu [80]

The perimeter of the triangle is 40 units

<h3>Perimeter of a triangle</h3>

From the question, we are to determine the perimeter of the given triangle

From the given diagram, we can observe that the triangle is a right triangle

The vertical length of the triangle is 15 units

and the horizontal length of the triangle is 8 units

Thus,

We can find the hypotenuse by using the<em> Pythagorean theorem </em>

Let the hypotenuse be h

Then,

h² = 15² + 8²

h² = 225 + 64

h² = 289

h = √289

h = 17 units

Now, for the perimeter of the triangle

The perimeter of a triangle is the sum of all its three sides

Thus,

The perimeter. P, of the triangle is

P = 15 + 8 + 17

P = 40 units

Hence, the perimeter of the triangle is 40 units

Learn more on Calculating perimeter here: brainly.com/question/17394545

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4 0
1 year ago
Can someone help me with #4 please URGENT‼️
lesya [120]
Describe um it’s a line and has a F
4 0
3 years ago
Head movement evaluations are important because disabled individuals may be able to operate communications aids using head motio
earnstyle [38]

Answer:

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{1.307 -0}{\frac{7.798}{\sqrt{14}}}=0.6271

df=n-1=14-1=13

p_v =P(t_{(13)}>0.6271) =0.2707

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 (This problem) we can use it.  

Let put some notation  

x=test value CL , y = test value CO

x: 57.8 35.7 54.5 56.8 51.1 70.8 77.3 51.6 54.7 63.6 59.2 59.2 55.8 38.5

y: 44.7 52.1 60.2 52.7 47.2 65.6 71.4 48.8 53.1 66.3 59.8 47.5 64.5 34.4

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 calculate the difference d_i=x_i-y_i and we obtain this:

d: 13.1, -16.4,-5.7,4.1,3.9,5.2,5.9,2.8,1.6,-2.7,-0.6,11.7,-8.7,4.1

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{29}{8}=1.307

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

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =7.798

The 4 step is calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{1.307 -0}{\frac{7.798}{\sqrt{14}}}=0.6271

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

df=n-1=14-1=13

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

p_v =P(t_{(13)}>0.6271) =0.2707

So the p value is higher than the significance level provided of 0.01, so then we can conclude that we FAIL to reject the null hypothesis that the difference mean between after and before is higher or equal than 0. So we can't conclude that the mean neck rotation is greater in the clockwise direction than in the counterclockwise direction at 1% of significance.

8 0
3 years ago
A zookeeper predicted the weight of a new born elephant to be 273 pounds when born. The elephant actually weighed 305 pounds at
faltersainse [42]

Answer is

47.23183391003460

4 0
3 years ago
What is the sum of the first thirteen terms in a geometric series with a<br> r = 3 a1= -10
Ipatiy [6.2K]

To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.

Formula:

  • S₁₃ = a(rⁿ-1)/(r-1).............. Equation 1

Where:

  • S₁₃ = Sum of the first thirteen terms of the geometric series.
  • a = First term of the series
  • r = Common ratio

Given:

  • a = -10
  • r = 3
  • n = 13

Substitute these values into equation 1

  • S₁₃ = -10(3¹³-1)/(3-1)
  • S₁₃ = -7971615
7 0
2 years ago
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