In a certain country, the true probability of a baby being a girl is 0.479. A mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy ? Round to 3 decimal places as needed

Answers

Answer 1

Answer:

0.947

Step-by-step explanation:

We are told that the true probability of a baby being a girl is 0.479.

This means that probability of a baby being a boy is;

p = 1 - 0.479

p = 0.521

Now,using binomial probability distribution formula we can solve this problem.

P(X=x) = C(n, x) × p^(x) × (1 - p)^(n - x)

We are told that a mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy.

This is;

P(X ≥ 1) = P(1) + P(2) + P(3) + P(4)

P(1) = C(4, 1) × 0.521^(1) × (1 - 0.521)^(4 - 1)

P(1) = 0.229

P(2) = C(4, 2) × 0.521^(2) × (1 - 0.521)^(4 - 2)

P(2) = 0.3737

P(3) = C(4, 3) × 0.521^(3) × (1 - 0.521)^(4 - 3)

P(3) = 0.27096

P(4) = C(4, 4) × 0.521^(4) × (1 - 0.521)^(4 - 4)

P(4) = 0.0737

Thus;

P(X ≥ 1) = 0.229 + 0.3737 + 0.27096 + 0.0737

P(X ≥ 1) = 0.94736

P(X ≥ 1) ≈ 0.947


Related Questions

Subtract the shortest length from the longest.
0.81 m
1.08 m
0.8 m
180 cm
18 cm

Answers

Answer would be -179.19 because 0.81 m and 180cm subtracted would give you the answer. 0.81 is the shortest and 180 cm is the longest.
Hope this helps!! :)

Evaluate: 47.6 - 5.342

A) -42.258

B) 52.942

C) 42.258

D) -5.82
say helllooo

Answers

The answer is (C).............

Answer:

the answer is C because i said so

Step-by-step explanation:

what is the square root of 199 lie between

Answers

Hi!

I'm assuming the question means what integers, so let's figure it out.

Starting from 12, 12 squared is 144, or the square root of 144 is 12.

13 squared is 169, or the square root of 169 is 13.

14 squared is 196, or the square root of 196 is 14.

15 squared is 225, or the square root of 225 is 15.

Based on that list of numbers, we can determine that the square root of 199 lies between the square root of 196 and the square root of 225 -- aka 14 and 15.

The square root of 199 it’s 14.10 approximately 14.1

distribute -(6 - 4p) TWELVE POINTS FOR YOUR ANSWER!!

Answers

Answer:

-6+4p

Step-by-step explanation:

-(6-4p)

-1(6-4p)

-1*6=-6

-1*-4p=4p

-6+4p

Answer:

-(6-4p)=

-6+4p

Step-by-step explanation:

(1008.5)(2) pleasee helpp

Answers

Answer:

2,016.4

Step-by-step explanation:

2.4x + 4.6x = 28 Could someone help me with this problem I need it.

Answers

2.4x + 4.6x = 7
7x = 28
X = 4

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define

2.4x + 4.6x = 28

Step 2: Solve for x

Combine like terms (x):                    7x = 28Divide 7 on both sides:                    x = 4

Step 3: Check

Plug in x to verify it's a solution.

Substitute in x:                    2.4(4) + 4.6(4) = 28Multiply:                               9.6+ 18.4= 28Add:                                     28 = 28

Here we see that 28 does indeed equal 28.

∴ x = 4 is a solution of the equation.

what is 20 times 45 divided by 6

Answers

Answer:

The answer is 150

Step-by-step explanation:

I hope this helped, please mark me brainliest. Thank you and have a nice day!

Last year, Pinwheel Industries introduced a new toy. It cost $ 4 , 300 to develop the toy and $ 25 to manufacture each toy. Fill in the blanks below as appropriate. A.) Write a linear equation in the form C = m n + b that gives the total cost, C , to produce n of these toys:

Answers

Answer:

C=25n+4300

Step-by-step explanation:

Given that,

Last year, Pinwheel Industries introduced a new toy. It cost $4 ,300 to develop the toy and $25 to manufacture each toy.

We need to write a linear equation in the form C=mn+b that gives the total cost, C, to produce n of these toys.

Here, m will be cost for each toy and b is the cost to develop each toy. So,

C=25n+4300

Hence, this is the required solution.

The equation y = 1.2x represents the rate, in beats per second, that Lee's heart beats. The graph represents the rate that Nancy's hear beats. Determine whose heart is beating at a faster rate.

Answers

Here’s the answer w the explanation. Answer: Lee’s is beating faster.
Nancy’s heart beats were faster. As you can see from the graph, Nancy is currently going at a rate of 1.25 beats per second as opposed to Lee’s 1.2 beats per second. You can figure this out from dividing
Y/x=rate
I can choose any point of the graph which I can divide.
For this case I choose (20,25)
So I divide 25/20 and I will get 1 5/20 rounding to 1 1/4 and then converted to 1.25 beats per second.
Hope that helps!!

There were 7,313 more searches in the library book checkout system in January than February. In February there were 8,972 searches, how many searches were done in both months?

Answers

Given:

Searches in February = 8972

There were 7,313 more searches in the library book checkout system in January than February.

To find:

The searches in both months.

Solution:

Searches in February = 8972

There were 7,313 more searches in the library book checkout system in January than February. So,

Searches in January = 8972 + 7313 = 16285

Now,

Total number of Searches in both months = January + February  searches

[tex]=16285 + 8972[/tex]

[tex]=25257[/tex]

Therefore, total number of searches in both months is 25257.

Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=|2x−1|+3.

Answers

Answer:

1) y = -f(x) (This is the reflection about the x-axis of the graph y = f(x).) That is for every point (x, y) there is a point (x, -y). Look at the example graphs below of y = x2 and y = -x2. Notice the green graph is simply the same as the blue graph folded down

Someone help I need to do this and Idk how

Answers

Answer:

5/6 or 17/18: 5/6

3/10 or 1/4: 3/10

4/21 or 1/6: 1/6

1/4 < 7/24

19/24 < 5/6

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

Q1.

b) 3/10 is greater

c) 17/18 is smaller

d) 4/21 is smaller

1) 1/4 < 7/24

2) 19/24 < 5/6

Hope that will help :).

Complete the table. Write each as a fraction, decimal, and percent. Fraction Decimal Percent 3% % 1.5 1% 13 20 2. 3 %​

Answers

Answer:

Step-by-step explanation:

3% in a decimal is 0.03.

2x+3=6x-5 Solve the eqution

Answers

Answer:

2

Step-by-step explanation:

2x+3=6x-5

2x-6x=-5-3

-4x=-8

X=8/4

X=2

So the final answer is 2

7x+3 because u add 2c with 6x and get 7x then take away 5-3=3

La circunferencia es tangente a la recta 3x - 4y = 34 en el punto (10, -1) Y también es tangente a la recta 4x + 3y = 12 en el punto (3, O). Hallar la ecuación de la circnferencia.

Answers

Answer:

La ecuación del círculo en la forma es (x - 145/12)² + (y - 109/16)² = (545/48)²

Step-by-step explanation:

La información dada son;

La primera línea tangente al círculo en el punto (10, -1) = 3·x - 4·y = 34

La segunda línea tangente al círculo en el punto (3, 0) = 4·x + 3·y = 12

Las rectas tangentes dadas en forma de pendiente e intersección, y = m·x + c son;

3·x - 4·y = 34

4·y = 34 - 3·x

y = 34/4 - 3/4·x = 8.5 - 3/4·x

Primera tangente

y = 8.5 - 3/4·x

3·y = 12 - 4·x

y = 12/3 - 4/3·x = 4 - 4/3·x

Segunda tangente

y = 4 - 4/3·x

La recta de la ecuación de los radios es perpendicular a la tangente y se encuentra con la tangente en el punto de intersección con el círculo como sigue;

La primera ecuación radial tiene pendiente, m = 1/(-3/4) = 4/3

La ecuación en forma de punto y pendiente es y - (-1) = 4/3×(x - 10)

y = 4/3×(x - 10) - 1 = 4/3·x - 40/3 - 1 = 4/3·x - 43/3

Por tanto, la ecuación del primer radio es;

y = 4/3·x - 43/3

La segunda ecuación radial tiene pendiente, m = 1/(-4/3) = 3/4

La ecuación en forma de punto y pendiente es y - 0 = 3/4×(x - 3)

y = 3/4×(x - 3) = 3/4·x - 9/4

Por tanto, la ecuación del segundo radio es;

y = 3/4·x - 9/4

Los dos radios se encuentran en el centro dado como sigue;

4/3·x - 43/3 = 3/4·x - 9/4

4/3·x - 3/4·x  = 43/3 - 9/4

7/12·x = 145/12

x = 145/12

y = 3/4·x - 9/4 = 3/4·145/12 - 9/4 = 109/16

Las coordenadas del centro = (h, k) = (145/12, 109/16)

La longitud del radio, r = √((109/16 - 0)² + (145/12 - 3)²) = 545/48

La ecuación del círculo en la forma (x - h)² + (y - k)² = r² es, por lo tanto;

(x - 145/12)² + (y - 109/16)² = (545/48)².

3. What is the total value of digit 3 in the
figure 9837512.61
A 3000
B. 30000.41
C. thirty thousand D. ten thousand​

Answers

it should be c. if not i’m so sorry

does anyone know how to do this ?

Answers

i believe you go to the spots on the graph and then just found up from there, and do that with every point

Plzzzzz Help!!!!Find an equation for the perpendicular bisector of the line segment whose endpoints are (8,4) and (4,-4)

Answers

Answer:

y = 2x -12  to find any equation to the perpendicular line  x=0

Step-by-step explanation:

find the slope to the original line using the slope formula , then take the opposite reciprocal = -1/2

Kinda new at this can someone teach me how to work this app?

Answers

Answer:

you scan Ur question at the homepage

Step-by-step explanation:

if there's one, it'll show up

and yea u know how to ask a question so I won't explain XD

Answer:

yeah of course!! first don’t be a catfish cause i saw your profile pic on google (:<

Step-by-step explanation:

are the two lines parallel,perpendicular, or neither ?

Answers

Answer:

1. neither

2. neither

3. parallel

4. perpendicular

Step-by-step explanation:

can anybody help me with this

Answers

Answer:1. 2 day

Answer:2.8/16

Answer:3.2 hours

Step-by-step explanation:make sure to rate me with 5 stars and thank me

Simplify the expression
5[(13-7)2 +2]

Answers

Answer:

62

Step-by-step explanation:

13-7=6

6 times 2=12

12 times 5=60

60 +2=62

what is 1080 miles on 15 gallons

Answers

Answer:

72 miles per gallons

Step-by-step explanation:

also can i have brainliest

please help fast :(
A box contains five $1 bills, three $5 bills, one $10 bill and one $20 bill. Construct a PROBABILITY DISTRIBUTION for the data and DRAWA GRAPH. (Take a picture and submit with the test when you are done) ​

Answers

Answer:

Step-by-step explanation:

yes

Select all the lines in the proof of △ABC≅△CDA that have the correct justification. AB || CD and BC || AD, ASA Triangle Congruence Theorem ∠BAC≅∠DCA, Alternate Interior Angles Theorem △ABC≅△CDA, SAS Triangle Congruence Theorem ∠ACB≅∠CAD, Alternate Interior Angles Theorem AC≅AC, Reflexive Property of Congruence

Answers

Answer:

AB and MN

∠B and ∠N  

CB and LN

Step-by-step explanation:

edg

a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why

answer and i’ll make your brainliest

Answers

Answer:

yes it will be able fit through

Step-by-step explanation:

simply divide 2197 and 3 because you need to multiply 3 number to get volume. For this you divide by 3. you should get 732 ft. This is the height. It will be more than enough to fit through

Which equation could represent the relationship shown in the scatter plot?
y=52x−1
y=3x
y=12x+7
y=−x+8

Scatter plot with x axis labeled variable x and y axis labeled variable y. Points go from lower left to upper right.

Answers

Y=12x+7 I think I’m not smart I tried tho

Answer:

y=1/2x+7

Step-by-step explanation:

A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slope-intercept form.

Answers

Answer:

Point-slope form: y + 5 = 13/-4 (x-1)

Slope-intercept form:

Step-by-step explanation:

Ok, so first to find the equation in point-slope form, you need to find the slope. So, the slope would be 7- (-5)/-3-1 , which is 13/-4. That is your slope, or m. Now, for point-slope form, you have the equation y - y1 = 13/-4 (x-x1). Now, you take one of your points, say (1, -5), and you put it into the equation. So your point-slope form equation would be y - (-5) = 13/-4 (x - 1). This would simplify to y + 5 = 13/-4(x - 1).

Now for slope-intercept form, you have m, the slope, which is 13/-4. Substituting that into the equation, you have y = 13/-4x + b. To find b, you substitute one of your coordinates into the equation. For example, (1, -5). Then you have -5 = (13/-4 * 1) +b. Simplify this, and you have b = -5+ 13/-4, which is -20/4 + 13/-4, which is -20/4 - 13/4 = -33/4. So your final equation is y = 13/-4x - 33/4.

Hope that helped.

=1/3(3w - 12)= 1/6( 24-6w)

Answers

1w-4= 4-1w
+1w +1w
——————
2w-4=4
+4 +4
—————
2w=8
———
2. 2



w= 4

Answer:

i got you it's w=4

Step-by-step explanation:

2w/2=8/2 your going to divide both sides by 2. simplify that which gives you w=4

URGENT! What is the value of x?

Enter your answer in the box.

(MAKE SURE IT’S THE CORRECT ANSWER)

Answers

Answer:

48 degrees

Step-by-step explanation:

48 degrees — it’s a vertical angle
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