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umka21 [38]
3 years ago
11

A student said that since -9 is less than 4, then |-9| is less than |4|. Is the student correct? Explain why or why not.

Mathematics
2 answers:
IRISSAK [1]3 years ago
4 0
No, that is not true. The absolute value is the distance a number is from zero. The distance of -9 to 0 is 9. 9 is not less than 4.
bazaltina [42]3 years ago
3 0

Answer:

No.

Step-by-step explanation:

They are not correct because the "| |" signs mean absolute value. What ever is inside the signs must be positive. So -9 becomes 9 and 9 is greater than 4. So, the student is not correct.

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1) 3+5+8° +10+6<br> I<br> i need help
diamong [38]

Answer:

36°

Step-by-step explanation:

3+5+8°+10+6= 36°

<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em>

5 0
3 years ago
The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius
olga2289 [7]
We know that
area of the circle=pi*r²

if 360° (full circle) has an area of-------------> pi*r²
110°------------------------------> 40 units²
pi*r²=40*360/110--------> pi*r²=130.91------> r²=130.91/pi-----> r²=41.69
r=6.46 units

the answer is
the radius is 6.46 units
7 0
3 years ago
-5+7=7+-5 is this number sentence true or false
vovikov84 [41]

Answer: True

Step-by-step explanation:

We can simplify each of the expressions on either side to see if they are equal.

Left side: -5+7=7-5= 2

Right side: 7+-5=7-5= 2

Yes, they are equal.

7 0
1 year ago
Read 2 more answers
What kinds of regular polygons can be used for regular tesselations
Ahat [919]
To tessellate a surface using a regular polygon, the interior angle must be a sub-multiple (i.e. factor) of 360 degrees to cover completely the surface.

For a regular three-sided polygon, the interior angle is (180-360/3)=60 &deg;
       Since 6*60=360, so a regular three-sided polygon (equilateral triangle)            tessellates.
For a regular four-sided polygon, the interior angle is (180-360/4)=90 &deg;
       Since 4*90=360, so a regular four-sided polygon (square) tessellates.
For a regular five-sided polygon, the interior angle is (180-360/5)=108 &deg;
       Since 360/108=3.33... (not an integer), so a regular five-sided polygon           (pentagon) does NOT tessellate.
For a regular six-sided polygon, the interior angle is (180-360/6)=120 &deg;
       Since 3*120=360, so a regular six-sided polygon (hexagon) tessellates.


5 0
3 years ago
Read 2 more answers
Suppose you are the manager of Speedy Oil Change which claims that it will change the oil in​ customers’ cars in less than 30 mi
Veronika [31]

Answer:

Explained below.

Step-by-step explanation:

(1)

The hypothesis can be defined as follows:

<em>H</em>₀: The Speedy Oil Change will change the oil in​ customers’ cars in more than 30 minutes on average, i.e. <em>μ</em> > 30.

<em>H</em>ₐ: The Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average, i.e. <em>μ</em> ≤ 30.

(2)

Use Excel to compute the sample mean and standard deviation as follows:

\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683

Compute the test statistic as follows:

t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{24.917-30}{8.683/\sqrt{36}}=-3.51

The degrees of freedom is:

df = n - 1

   = 36 - 1

   = 35

Compute the p-value as follows:

p-value=P(t_{35}

(3)

The <em>p</em>-value = 0.0006 is very small.

The null hypothesis will be rejected at any of the commonly used significance level.

(4)

There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average.

3 0
3 years ago
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