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Elza [17]
3 years ago
6

Is a number is blank then the number is less than it’s absolute value

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Answer:

If a number is <u>negative</u> then the number is less than its absolute value.

Step-by-step explanation:

If a number is <u>negative</u> then the number is less than its absolute value.

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An angle measures (2x + 11).
lidiya [134]
Vertical angles are always congruent, or of equal measure.
Vertical angle is equal to given angle. Answer is:(2x+11)
4 0
3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voter
Nadusha1986 [10]

Answer:

p-value of the statistics = 0.0096

Step-by-step explanation:

Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.

To find - Determine the P-value of the test statistic.

Proof -

Given that,

H0 : p = 0.44

Ha : p > 0.44

Now,

Test Statistics is

z = (p bar - p)/ sqrt(p(1-p)/n)

  = (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)

  = 2.34

⇒z = 2.34

So,

p-value = P(Z > z)

             = P(Z > 2.34)

             = 0.0096

⇒p-value = 0.0096

7 0
3 years ago
Solve: -23 = x - 23 * please help I'll add extra points
Serjik [45]
X=0

-23 = x - 23

Step 1 cancel equal terms on both sides of the equation

0=x

Step 2 swap the sides of the equation

x=0

4 0
3 years ago
Simplify the expression-9+7<br><br> -2<br><br> 2<br><br> 16<br><br> -16
bogdanovich [222]
- 9 + 7

-2

if you need more details, please leave me a comment
6 0
3 years ago
Read 2 more answers
the line whose equation is y=1/2x-3 is dilated by a factor of 3 with a center at the point (10,2). Explain why its equation woul
lana [24]
We  have that

<span>y=1/2x-3
1) the slope of this line equation is m=(1/2)
2) the coordinates of the y intercept are
for x=0
y=-3
point (0,-3)
3)</span>the coordinates of the x intercept are
for y=0
0=(1/2)x-3------> (1/2)x=3----> x=6
point (6,0)

<span>if the line is dilated by a factor of 3
then
</span>y=1/2x-3--------> 3y=3*[1/2x-3]-----> 3y=(3/2)x-9
3y=(3x-18)/2-------> y=(3x-18)/6--------> y=(3/6)x-18/6

 y=(3/6)x-18/6
so
1) the slope of this line equation is m=(3/6)-----> 3/6=1/2
2) the coordinates of the y intercept are
for x=0
y=-18/6-------> y=-3
point (0,-3)
3)the coordinates of the x intercept are
for y=0
0=(3/6)x-18/6------> (3/6)x=18/6----> x=18/3------> x=6
point (6,0)

therefore
the equation of the line
y=1/2x-3 is the same that the equation of the line  y=(3/6)x-18/6

<span>the equation does not change because the slope and the x and y intercepts do not change either</span>
6 0
3 years ago
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