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galben [10]
3 years ago
8

a sock drawer has 6 white socks, 6 brown socks, and 4 black socks. you randomly pick 2 socks and get a matching pair of black so

cks. what is the probability of this occurring
Mathematics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

1/20

Step-by-step explanation:

Remark: Not huge

Total number of Socks: 6 + 6 + 4 = 16

P(First Black Sock):  4/16 = 1/4

The second Sock needs to be discussed a bit. The number of black  socks has gone down to 1 and the total will always go down by 1.

Second Sock: 3 Black / 15 Total = 3/15 = 1/5

Combined Probability: 1/4 * 1/5 = 1/20

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Solve the following quadratic equation<br> 9m2 +9= 11
jeka94

Answer: m=

1

3

√2 or m=

−1

3

√2

Step-by-step explanation:

4 0
3 years ago
Tyler does squats and pushups. He wants to increase the number of each type of exercise by 20% by the end of the month. He curre
Semenov [28]

Answer:

Tyler currently does 40 squats

Step-by-step explanation:

Tyler does squats and pushups.

<u>Currently:</u>

Number of pushups = 25

Number of squats = x

Total number = 25 + x

<u>After increase:</u>

Number of pishups =25\cdot (1+0.2)=1.2\cdot 25=30

Number of squats =x\cdot (1+0.2)=1.2x

Total number =30+1.2x

If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus

(30+1.2x)-(25+x)=13\\ \\30+1.2x-25-x=13\\ \\1.2x-x=13-30+25\\ \\0.2x=8\\ \\2x=80\\ \\x=40

6 0
2 years ago
A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line? Help me please
joja [24]

Step-by-step explanation:

If it's a straight line the use formula

y = mx + c

m= gradient of line

c = y-intercept

we know that y-intercept is 4 so coordinate is

(0,4)

Equation also passes (2,10)

Use both coordinate to find gradient

m= vertical distance / horizontal distance

= (10-4) / (2-0)

= 3

y = 3x + 4

6 0
2 years ago
If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.
user100 [1]

Answer:

∠ GDH = 67.5°

Step-by-step explanation:

The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

∠ GDH = \frac{1}{2}(GH + EF) = \frac{1}{2} (90 + 45)° = 0.5 × 135° = 67.5°

6 0
3 years ago
P, Q &amp; R form a right-angled triangle.
Naya [18.7K]

Answer:

m<RPQ = 22°

Step-by-step explanation:

Given:

m<SRQ = 90°

PS = PQ

m<SQR = 46°

Required:

m<RPQ

Solution:

m<SQR + m<SRQ + m<RSQ = 180°

Substitute

46° + 90° + m<RSQ = 180°

m<RSQ = 180° - 136°

m<RSQ = 44°

Find m<PSQ:

m<PSQ = 180° - m<RSQ (Angles on a straight line

m<PSQ = 180° - 44° (Substitution)

m<PSQ = 136°

Find m<RPQ:

∆QSP is an isosceles triangle with two equal base angles. Therefore:

m<RPQ = ½(180° - 136°)

m<RPQ = 22°

4 0
3 years ago
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