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AleksAgata [21]
3 years ago
13

Solve the following system of equations for x:

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

x=0.5

Step-by-step explanation:

2x+y= -2

and

4x+y= -8 so...

2x+y= -2 = 4x+y= -8

2x+4x= 6x

y+y=2y

-2+-8= -10

6x+2y= -10

2y- -10= 12

6x=12

6/12=0.5

x=0.5

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A scientist who studies sleep has developed a new technique to help people sleep each night. He
Andru [333]

Considering the situation described, the scientist's null and alternative hypothesis are described by:

Null hypothesis H_0: \mu = 0; Alternative hypothesis H_1: \mu \neq 0.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by \mu is of 0, hence:

H_0: \mu = 0

At the alternative hypothesis, it is tested if there is a difference, hence:

H_1: \mu \neq 0

More can be learned about an hypothesis test at brainly.com/question/26454209

7 0
2 years ago
Solve the triangle that has a=4.6, B=19°, A=92° (picture provided)
kolezko [41]

Answer:

Option b

Step-by-step explanation:

To solve this problem use the law of the sines.

We have 2 angles of the triangle and one of the sides.

a = 4.6\\B = 19\°\\A = 92\°\\C = 180 -A - B\\C = 180 - 92 - 19\\C = 69\°

The law of the sines is:

\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}

Then:

\frac{sin(92)}{4.6} = \frac{sin(19)}{b}\\\\b = \frac{sin(19)}{\frac{sin(92)}{4.6}}\\\\b = 1.5

\frac{sin(B)}{b} = \frac{sin(C)}{c}\\\\\frac{sin(19)}{1.5} = \frac{sin(69)}{c}\\\\c = \frac{sin(69)}{\frac{sin(19)}{1.5}}\\\\c = 4.30

8 0
3 years ago
There are 60 people waiting in line for a movie. If 20 percent are wearing hats, how many people in line were not wearing hats?
sammy [17]

Answer:

48 people

Step-by-step explanation:

To find 20% of 60, you multiply 60 by .2 and get 12. Subtract 12 from 60, and 48 people were not wearing hats.

4 0
3 years ago
I NEED HELP PLEASE, THANKS!
Talja [164]

The amount of lines of symmetry of a shape is equal to the number of sides that shape has.

A heptagon has 7 sides, so, there are 7 lines of symmetry.

Best of Luck!

5 0
3 years ago
Read 2 more answers
You are looking at two area rugs for your bedroom. One is a square with a side length of 6.3 feet. The other is a rectangle that
Dmitry [639]
-----------------------------------------------------------------
Square Rug
-----------------------------------------------------------------
Area = Length x Length
Area = 6.3 x 6.3
Area = 39.69 ft²

-----------------------------------------------------------------
Rectangle Rug
-----------------------------------------------------------------
Area = Length x Width
Area = 4.8 x 8.2
Area = 39.36 ft²


39.69 ft²  is bigger than 29.36 ft², so the square rug is bigger.

-----------------------------------------------------------------
Ans: The Square Rug covers a greater area
-----------------------------------------------------------------
8 0
3 years ago
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