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hammer [34]
3 years ago
10

Whats the answer to -|2+5| =

Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:-7

Step-by-step explanation:do absolute value first and then put the negative sign

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∠1 and ∠2 are complementary. If m∠1 = 4m∠2, find m∠1
77julia77 [94]

Answer:

∠1 = 72°

Step-by-step explanation:

Complementary angles sum to 90°, thus

∠1 + ∠2 = 90, substitute ∠1 = 4∠2 , thus

4∠2 + ∠2 = 90

5∠2 = 90 ( divide both sides by 5 )

∠2 = 18°

Hence ∠1 = 90 - 18 = 72°

8 0
3 years ago
Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on
Zanzabum

Answer:

A score of 2.6 on a test with \bar X = 5.0 and s = 1.6 and A score of 48 on a test with \bar X = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with \bar X = 5.0 and s = 1.6

II. A score of 650 on a test with \bar X = 800 and s = 200

III. A score of 48 on a test with \bar X = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

<u>The z-score probability distribution is given by;</u>

              Z = \frac{X-\bar X}{s} ~ N(0,1)

where, \bar X = mean score

            s = standard deviation

            X = each score on a test

  • <u>The z-score of First condition is calculated as;</u>

Since we are given that a score of 2.6 on a test with \bar X = 5.0 and s = 1.6,

So,  z-score = \frac{2.6-5}{1.6} = -1.5  {where \bar X = 5.0 and s = 1.6 }

  • <u>The z-score of Second condition is calculated as;</u>

Since we are given that a score of 650 on a test with \bar X = 800 and s = 200,

So,  z-score = \frac{650-800}{200} = -0.75  {where \bar X = 800 and s = 200 }

  • <u>The z-score of Third condition is calculated as;</u>

Since we are given that a score of 48 on a test with \bar X = 57 and s = 6,

So,  z-score = \frac{48-57}{6} = -1.5  {where \bar X = 57 and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that <u>A score of 2.6 on a test with </u>\bar X<u> = 5.0 and s = 1.6</u> and <u>A score of 48 on a test with </u>\bar X<u> = 57 and s = 6 </u> indicate the highest relative position.

7 0
3 years ago
Zaire, Manny, Richard, Navid and Gregory found a rope that was 271.5 feet long. If they cut the rope into equal pieces, what was
posledela

Answer:

43.5

Step-by-step explanation:

217.5/5

43.5

4 0
3 years ago
Two secant segments intersect outside a circle as shown. What is the value of x?
torisob [31]
Using the intersecting secants theorem, QS*QR=QP*QM
3*13=2*(x+2)
39=2x+4
2x=35
x=17.5
8 0
3 years ago
Rachel buys 30 nuts and bolts to finish a project. If each but costs 10 cents, each bolt costs 20 cents and the total purchase p
Natali5045456 [20]

Answer:

12 bolt 18 nuts

Step-by-step explanation: (Elimination method)

N=nuts

B=bolts

B + N = 30

0.20B + 0.10N = 4.20

20B+10N=420 (I multiplied by 10 to eliminate decimals

-------------------------------------------------------

I  will multiply the first  by (-10)

-10B  -10N =-300

20N +10N=420

10B+0 = 120

B=12 (12 BOLT)

30-12 =18   (8 NUTS)

12*0.20=2.40

18*0.10=1.80

2.40+ 1.80 = 4.20

3 0
3 years ago
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