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3 years ago

Which statement is true?

Mathematics

2 answers:

MatroZZZ [7]3 years ago

5 0

Answer: me to

Step-by-step explanation:

Sloan [31]3 years ago

3 0

I believe the last one about right triangles. That’s why Pythagorean Theorem works.

You might be interested in

Using the 68-95-99.7 rule

GaryK [48]

Using the Empirical Rule, it is found that the desired probabilities are given as follows.

a) P(x > 158) = 0.16.

b) P(149 < x < 152) = 0.135.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Additionally, considering the symmetry of the normal distribution, 50% of the measures are below the mean and 50% are above.

Item a:

158 is one standard deviation above the mean, hence the probability is given by, considering that 32% of the measures are more than 1 standard deviation from the mean:

P(x > 158) = 0.5 x 0.32 = 0.16.

Item b:

Between one and two standard deviations below the mean, hence:

P(149 < x < 152) = 0.5 x (0.95 - 0.68) = 0.5 x 0.27 = 0.135.

More can be learned about the Empirical Rule at brainly.com/question/24537145

8 0

2 years ago

Choose the equivalent system of linear equations that will produce the same solution as the one given below. (1 point) 4x − 2y =

goldenfox [79]

Answer:

<h3>Option d) 4x + 2y = 10 and 8x = 16 is correct</h3><h3>Therefore 4x + 2y = 10 and 8x = 16 equations have equivalent solution (2,1) is same as the solution of given linear system of equations</h3>

Step-by-step explanation:

Given equations are

$4x-2y=6\hfill (1)$

$2x+y=5\hfill (2)$

<h3>To find the the equivalent system of linear equations that will produce the same solution as for the given equation :</h3>

First find the solution to the given system of equations by elimination method

Multiply the equation (2) into 2 we get

$4x+2y=10\hfill (3)$

Now adding the equations (1) and ( 3) we get

$4x-2y=6$

$4x+2y=10$

_______________

$8x=16$

$x=\frac{16}{8}$

x=2

Therefore the value of x is 2

Substitute the value of x in equation (1) we get

$4(2)-2y=6$

$8-2y=6$

$-2y=6-8$

$-2y=-2$

$y=\frac{-2}{-2}$

y=1

Therefore the value of y is 1

Therefore the solution to the given system of equations is (2,1)

<h3>Now to find the equivalent system of equations have same solution (2,1)</h3>

Verify the equations $4x+2y=10\hfill (4)$ and 8x = 16

From 8x=16

$x=\frac{16}{8}$

x=2

Therefore the value of x is 2

Substitute x=2 in equation (4) we get

4(2)+2y=10

8+2y=10

2y=10-8

2y=2

$y=\frac{2}{2}$

y=1

Therefore the value of y is 1

Therefore the solution is (2,1)

<h3>Therefore option d) 4x + 2y = 10 and 8x = 16 equations have equivalent solution (2,1) is same as the solution of given linear system of equations </h3>

3 0

3 years ago

Which of the following inequalities have no solution over all real numbers? Check all that apply.

Talja [164]

Answer:A,D,E

Step-by-step explanation:

Just did the assignment

4 0

3 years ago

Read 2 more answers

2. Janice and Jasmine were each given a piece of ribbon of equal length. Janice cuts her ribbons into equal lengths of 2 m, whil

Anna35 [415]

Answer:

10m.

Step-by-step explanation:

Since there is no remainder we simply need to find the least common multiple of each of the lengths of Janice and Jasmin's strings until we find a multiple that matches for each. Like so...

2*1 = 2 5*1 = 5

2*2 = 4 5*2 = 10

2*3 = 6

2*4 = 8

2*5 = 10

Finally, we have found the first common multiple which is 10m. That means that the shortest equal length for both Janice's and Jasmin's ribbon is 10m.

8 0

3 years ago

What is b. If the number as a fraction is 56/90.

MA_775_DIABLO [31]

The answer is: " 28 " .
___________________________________________________
" Twenty-eight (28) students said they would vote for Brianna."
___________________________________________________
Explanation:
___________________________________________________
We are given, in the problem, that there are "45 students total" .
___________________________________________________
The fraction: $\frac{56}{90} ;$

can be reduced as follows:

$\frac{56}{90} = (56÷2) / (90÷2) = [tex] \frac{28}{45}$ .
___________________________________________________
Thus, "28 students out of 45 students voted for Brianna" .
___________________________________________________
The answer is: "28 students" .
___________________________________________________
Hope this helps!
___________________________________________________

4 0

3 years ago