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Alik [6]
4 years ago
11

Delany scored -15 points in a word game. Find the opposite of this integer.

Mathematics
2 answers:
kondor19780726 [428]4 years ago
7 0

Answer:

15

Step-by-step explanation:

aleksklad [387]4 years ago
3 0
The answer is 15. If you turnt the negative number, -15, to a positive it would be 15. Hope I helped :))
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A kilo means thousand so that's 6,000 meters (that's a lot)
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4 years ago
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A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?
marshall27 [118]

Answer:

P(x< 18) = 0.986

Step-by-step explanation:

Step 1: find the z-score using the formula, z = (x - µ)/σ

Where,

x = randomly chosen values = 18

µ = mean = 7

σ = standard deviation = 5

Proportion of the population that is less than 18 = P(x < 18)

Plug in the values into z = (x - µ)/σ, to get z-score.

z = (18 - 7)/5

z = 11/5 = 2.2

Step 2: Find P(x< 18) = P (z<2.2) using z-table.

The probability that corresponds with z-score calculated is 0.986.

Therefore,

P(x< 18) = 0.986

4 0
3 years ago
In Circle P, m EA=58, m BC=42, m CD=90, find:
elena55 [62]

Circle theorem states that the angle that an arc subtends at the center of a

circle is twice the angle subtended at the circumference.

The values are as follows;

  1. m∠EDA = <u>90°</u>
  2. m∠BDC = <u>21°</u>
  3. m∠BEC = <u>21°</u>
  4. m\widehat{AB} =<u> 80°</u>
  5. m∠AEB = <u>40°</u>
  6. m∠ECA =  <u>29°</u>
  7. m∠BAC = <u> 21°</u>
  8. <u />m\widehat{ED}  =  <u>90°</u>
  9. m∠ECD = <u>45°</u>
  10. m∠ACB = <u>40°</u>
  11. m∠EBD = <u>45°</u>
  12. m∠ADB = <u>40°</u>
  13. m∠CAD = <u>45°</u>
  14. m∠EAB = <u>90°</u>
  15. m∠EBC = <u>90°</u>

<u />

Reasons:

\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC Angle subtended at center is twice angle at circumference.

m∠EPC = 180°

∴  m∠EDA = 0.5 × 180° = <u>90°</u>

2. m\widehat{BC} = 42°, therefore, m∠BPC = 42°

\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC

m∠BDC = 0.5 × 42° =<u> 21°</u>

3. m∠BEC = m∠BDC = <u>21°</u>

4. m\widehat{AB} = 180° - (58° + 42°) =<u> 80°</u>

5. \mathbf{m\widehat{AB}} = m∠APB by definition

m∠AEB = 0.5 × m∠APB

m∠AEB = 0.5 × 80° = <u>40°</u>

6. m∠ECA = 0.5 × m∠AE

Therefore;

m∠ECA = 0.5 × m\widehat{EA}

m∠ECA = 0.5 × 58° = 29°

m∠ECA =  <u>29°</u>

7. m∠BAC = 0.5 × \mathbf{m\widehat{BC}}

m∠BAC = 0.5 × 42° = 21°

m∠BAC = <u> 21°</u>

8. m\widehat{ED}  = 180° - \mathbf{m\widehat{CD}}

m\widehat{ED}  = 180° - 90° = 90°

\mathbf{m\widehat{ED}}  =  <u>90°</u>

9. m∠ECD = 0.5 × \mathbf{m\widehat{ED}}

m∠ECD = 0.5 × 90° = <u>45°</u>

10. m∠ACB = 0.5 × m\widehat{AB}

m∠ACB = 0.5 × 80° = <u>40°</u>

11. m∠EBD = 0.5 × \mathbf{m\widehat{ED}}

m∠EBD = 0.5 × 90° = <u>45°</u>

12. m∠ADB = 0.5 × \mathbf{m\widehat{AB}}

m∠ADB = 0.5 × 80° = <u>40°</u>

13. m∠CAD = 0.5 × \mathbf{m\widehat{CD}}

m∠CAD = 0.5 × 90° = <u>45°</u>

14. m∠EAB = 0.5 ×\mathbf{m\widehat{EABC}}

m∠EAB = 0.5 × 180° = <u>90°</u>

15. m∠EBC = 0.5 ×\mathbf{m\widehat{EABC}}

m∠EBC = 0.5 × 180° = <u>90°</u>

<u />

<u />

Learn more about circle theorems here:

brainly.com/question/25101481

3 0
3 years ago
What is the range of the function shown<br> on the graph above?
OverLord2011 [107]

Answer:

-9 ≤ y ≤ 8

Step-by-step explanation:

look at the endpoints of the segment; (7, 8) and (-2, -9)

the y-values represent the range and they go from -9 to 8, inclusive

8 0
3 years ago
A tire shop had to fill 2 1/2 tires with air. It took a small air compressor 2 1/2 seconds to fill them up. How long would it to
aivan3 [116]

Answer:

2 1.2unit2 times 8

Step-by-step explanation:

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3 years ago
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