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wel
3 years ago
10

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ g

bb, gbg,​ ggb, ggg}. after identifying the sample space for a couple having four​ children, find the probability of getting ffour girls girls and no boys boys.
Mathematics
2 answers:
maria [59]3 years ago
7 0

Answer:

The probability of four girls is:

\dfrac{1}{16}

Step-by-step explanation:

The sample space for 4 children consist of 16 entries and is given by:

{bbbb,bbbg,bbgb,bgbb,gbbb,bbgg,bgbg,ggbb,gbbg,gggg,gggb,ggbg,gbgg,bggg,gbgb,bggb}

i.e. The total number of outcomes=16.

Now the number of outcomes of getting four girls or we can say no boys=1=Number of favourable outcomes {i.e. the outcome is gggg}

Hence,

The probability of getting four girls= (Number of favourable outcomes)/(Total number of outcomes)=1/16

Hence, the probability of four girls is: \dfrac{1}{16}


Makovka662 [10]3 years ago
6 0
The answer is 1/2^4 which 1/16 or 0.0625. there are 16 ways of getting either a girl or a boy in a limited order.
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solong [7]

9514 1404 393

Answer:

  (c)  27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20

Step-by-step explanation:

As with many multiple-choice questions, you only need to look at something that will discriminate the correct answer from the wrong one.

The highest-degree product term is the product of the highest-degree terms in the factors:

  (3x^5)(9x^6) = 27x^11

This matches choice C only.

_____

In case you're interested in actually performing the rest of the multiplication, the distributive property applies.

  (1 +3x^5)(17x^2 +9x^6 -20)

  = 1(17x^2 +9x^6 -20) +3x^5(17x^2 +9x^6 -20)

  = 17x^2 +9x^6 -20 +51x^7 +27x^11 -60x^5

Writing these terms in order of decreasing exponents gives ...

  = 27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20

7 0
3 years ago
Solve the triangle, AMDM
krok68 [10]

Answer:

B

Step-by-step explanation:

You are given two sides and the included angle, so you need to use the law of cosines.

c² = a² + b² - 2ab cos C

c² = 12² + 13² - 2(12)(13)cos 134°

c² = 313 - 312(-0.6947)

c² = 529.733

c = 23.016

Now use the law of sines.

c/sin C = a/sin A

23.016/sin 134° = 12/sin A

sin A = 12 × sin 134° / 23.016

sin A = 0.37504

A = 22.03°

B = 180° - 134° - 22.03°

B = 23.97°

m<A = 22°; m<B = 24°; c = 23 km

Answer: B

6 0
2 years ago
4. Given point A (3, 8) and point B (-5, 1). Find the following:
Anni [7]

Answer:

a) (-1,4.5)

b)10.63 units

c)7/8

Step-by-step explanation:

a) To find this, we use the midpoint formula

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

(x1,y1) = (3,8)

(x2,y2) = (-5,1)

(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)

b) To calculate the distance D between two points, we use the formula;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-3)^2 + (1-8)^2

D = √(-8)^2 + (-7)^2

D = √64 + 49

D = √113

D = 10.63 units

C) We use the slope formula here

m = (y2-y1)/(x2-x1)

m = (1-8)/(-5-3) = -7/-8 = 7/8

6 0
3 years ago
Some STI’s can only be treated. which of the following is an STI they can be currently only treated not cured
ladessa [460]

Chlamydia – Chlamydia is a bacterial STD. It can often be treated with just a single round of antibiotics. Gonorrhea – Like chlamydia, gonorrhea is caused by bacteria that can usually be treated with antibiotics, however, there have recently been some cases of gonorrhea that are resistant to antibiotics.

5 0
3 years ago
Perry made $34,885 this year. If the inflation rate was 6.5 percent, how much was his salary actually worth? (purchasing power)
Allushta [10]
<h3>The salary of Perry if inflation is 6.5 % is $ 32617.475</h3>

<em><u>Solution:</u></em>

Given that,

Perry made $34,885 this year

The inflation rate was 6.5 percent

To find: Salary worth if inflation rate was 6.5 percent

From given,

Inflation rate = 6.5%

Therefore,

Worth of salary due to inflation = 100 % - 6.5 % = 93.5 %

Money earned in this year by Perry = $ 34, 885

Therefore,

Worth of Perry salary due to inflation = 34,885 x 93.5%

\text{Worth of Perry salary due to inflation }= 34885 \times \frac{93.5}{100}\\\\\text{Worth of Perry salary due to inflation }= 34885 \times 0.935\\\\\text{Worth of Perry salary due to inflation }= 32617.475

Thus the salary of Perry if inflation is 6.5 % is $ 32617.475

5 0
3 years ago
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