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lbvjy [14]
3 years ago
5

Mediam of 50+45+49+50+43+49+45+49+45+47+44+51+51+44+47+46+50+44+51+49+43+43+49+45+46+45+51+46

Mathematics
1 answer:
Doss [256]3 years ago
8 0

Answer:

The median is equal 46.5

Step-by-step explanation:

to find the median, we will need to rearrange the numbers in ascending order, so we will have

43, 43, 43, 44, 44, 44, 45, 45, 45, 45, 45, 46, 46, 46, 47, 47, 49, 49, 49, 49, 49, 50, 50, 50, 51, 51, 51, 51

Note that there are 28 numbers in total, therefore the median will fall in between the fourteenth and the fifteenth number which are 46 and 47 respectively.

Since we are considering two figures as median, we will need to find the average, which will be

(46 + 47)/2 = 46.5

The median is therefore 46.5

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Answer:

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Step-by-step explanation:

The angle marked 39 degrees and <2 are vertical angles and vertical angles are equal.  This means that <2 = 39 degrees

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3 years ago
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stepan [7]

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

(y+4)(3y−5)=0

Step 1: Simplify both sides of the equation.

3y2+7y−20=0

Step 2: Factor left side of equation.

(3y−5)(y+4)=0

Step 3: Set factors equal to 0.

3y−5=0 or y+4=0

y=5 /3

or y=−4

6 0
3 years ago
The sum of x and 9 is divided by 2. That quantity is equal to 3x. Write and solve equation.
natka813 [3]
X+9/2=3x = 2.25 I think
3 0
4 years ago
Solve the nonlinear system of equations. State the number of solutions.
WITCHER [35]

Answer:

Step-by-step explanation:

Hello,

Question 15

We can search x such that:

   x^2-4x+4=2x-5\\\\\text{*** subtract 2x-5 from both sides ***}\\ \\x^2-4x-2x+4+5=0\\ \\\text{*** simplify ***}\\ \\x^2-6x+9=0 \\ \\\text{*** we can notice a perfect square ***}\\ \\x^2 -2\cdot x \cdot 3 + 3^2=(x-3)^2=0\\\\\text{*** taking the root ***}\\\\x-3=0\\\\\large \boxed{\sf \ \ x=3 \ \ }

There is 1 solution.

Question 16

Again, we search x such that:

  x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }There are two solutions.

 

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
For the following hypothesis​ test, determine the null and alternative hypotheses.​ Also, classify the hypothesis test as two​ t
ohaa [14]

Answer:

The null and alternative hypothesis are:

H_0: \mu=47.79\\\\H_a:\mu< 47.79

This is a left tailed test.

Step-by-step explanation:

A hypothesis test is to be performed to determine whether last​ year's mean local monthly bill for cell phone users has decreased from the 2001 mean of ​$47.79.

Then, the claim that will be expressed in the alternative hypothesis is that the monthly bill is lower than $47.79.

The null hypothesis will state that the monthly bill does not differ significantly from $47.79.

Then, the null and alternative hypothesis are:

H_0: \mu=47.79\\\\H_a:\mu< 47.79

As we only want to test if its lower, we are interested only in the left tail of the distribution. We want to know if the test statistic is below the critical value to conclude if we have evidence for our claim. This is then a left tailed test.

3 0
4 years ago
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