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Korvikt [17]
2 years ago
13

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

Mathematics
1 answer:
Andru [333]2 years ago
7 0

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

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Find the area of the trapezoid
nata0808 [166]

Answer:

15 + 23 = 38

38 x 9 = 342

342 x 1/2 (basically just dividing by 2) 171

Step-by-step explanation:

Formula of a trapezoid:

B1(base 1) + B2(base 2) x H(height) x 1/2(basically just dividing by 2)

In this case,

12 and 23 are your bases, 9 is your height.

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3 years ago
What is 4910000 in scientific notation
n200080 [17]
4.9*10 x^{6}
i hope i helped!
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3 years ago
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Please draw and label two perpendicular line segments KL and MN
muminat
So draw a cross! One line segment is KL and the other Mn
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3 years ago
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What's the difference between adding two rational number and get a negative number
nikklg [1K]

Comparing two rational numbers

Use fraction form:

 

Make the denominators the same and compare the numerators. The number with the smaller numerator is smaller. For example, to compare a/b and c/d, we rewrite

 

a/b=a*d/b*d

  = ad/bd and c/d = c*b/d*b=bc/bd

 

Now just compare the numerators : "ad" and "bc"

 

Multiplying and Dividing Rational Numbers 

 

Multiplying and dividing rational numbers in decimal form is the same as multiplying and dividing integers. The decimal place of the product is the same of all decimals of all multiplied numbers. For example, 3.12*2.4.

 

Solution => 3.12*2.4=7.488

 

When multiplying or dividing rational numbers in fractional form, you multiply the numerators (N*N) and then multiply the denominators (D*D).

 

When dividing rational numbers in fractional form, first take the reciprocal of the divisor, and then multiply the numerators and the denominators.

 

Example => 5/9 divided by 2/7 .

 

Solution => 5/9 * 7/2 =  35/18

 

 

Adding Rational numbers

 

Adding and Subtracting rational numbers in decimal form is the same as adding and subtracting integers.

 

Example => -3.54+2.79=-0.75

 

When adding or subtracting rational numbers in fractional form, first make the denominator equal, and then add or subtract the numerators. 

6 0
3 years ago
The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown.
omeli [17]

Answer:

The area of one trapezoidal face of the figure is 2 square inches

Step-by-step explanation:

<u><em>The complete question is</em></u>

The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown. What is the area of one trapezoidal face of the figure?

we know that

The area of a trapezoid is given by the formula

A=\frac{1}{2}(b_1+b_2)h

where

b_1 and b-2 are the parallel sides

h is the height of the trapezoid (perpendicular distance between the parallel sides)

we have

h=1\ in\\b_1=1\ in\\b_2=3\ in

substitute the given values in the formula

A=\frac{1}{2}(1+3)(1)

A=2\ in^2

8 0
3 years ago
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