In a test of the microsort method of gender selection, 51 babies are born to couples trying to have baby boys, and 39 of those babies are boys. if the gender selection method has no effect of boys and girls find the mean and standard deviation for the number of boys born in groups of 51

Answers

Answer 1

The number of boys is a random variable that is binomial distributed. Recall that mean and standard deviation for a binomial distribution are [tex] \mu = np [/tex] and [tex]\sigma = \sqrt{np(1-p)} [/tex], respectively, where n = number of trials and p = probability of success.
In this case, n = 51. Since the gender selection method has no effect of boys and girls, the probability for a boy to be born is .5. So p = .5. Then the mean is
[tex]\mu = 51 \cdot 0.5 = 25.5[/tex]
and the standard deviation is
[tex]\sigma = \sqrt{51(0.5)(1-0.5)} = 3.57 [/tex]

Related Questions

math help easy will give brainliest

Answers

the equation will be of the form
y = 8x + b because the slope is same = 8.
using point slope form

y - -3 = 8(x - - 2)
y + 3 = 8x + 16

y = 8x + 13 Answer

Answer: the equation will be of the form

y = 8x + b because the slope is same = 8.

using point slope form

y - -3 = 8(x - - 2)

y + 3 = 8x + 16

y = 8x + 13 Answer

I hope that this helps! :3

What is the value of x?

Answers

the answer would be 35 because you take 120 and add 25 and get 145. then because it can make a straight line you do 180-145 and that equals 35.

Please help!! Rewrite the expression as the product of two binomials. What are the two binomials for the expression? x(x-8)-9(x-8)

Answers

that would be (x-9) (x-8)

Guys please help! 15 points and brainliest! In triangle CDE, the measure of angle C is 90 degrees, side CD is 15 and DE is 3 more than CE. Find the length of the longest side of CDE.

Answers

You can calculate it using the law of cosines: c^2=a^2+b^2-2*a*b*cos(C)

your triangle is
CD=15=a
CE=?=b
DE=CE+3=b+3=c
and C=90°

-> insert those values, with c substituted with b+3 to remove c

c^2=a^2+b^2-2*a*b*cos(C)
(b+3)^2=15^2+b^2-2*15*b*cos(90)
cos(90)=0->
(b+3)^2=15^2+b^2
b^2+2*3*b+3^2=225+b^2
6b+9=225
6b=216
b=36=CE

DE=CE+3=36+3=39

What is Indegree and Outdegree of a graph?

Answers

Indegree-The number of inward directed graph edges from a given graph vertex in a directed graph.
Outdegree-The number of outward directed graph edges from a given graph vertex in a directed graph.

Write the equation for the vertical line that contains point E (10,-3)

Answers

A vertical line is known as undefined and goes straight up and down.

This means it eventually crosses the x axis.

Undefined equations are represented by x= (wherever it crosses the x axis)

So since this point is (10 , -3), it crosses the x axis at 10 and goes up and down forever.

The equation of the line is x = 10.

Hope this helped C:

How to find the perimeter of a polygon with vertices

Answers

Step 1 Draw the triangle in a coordinate plane by plotting the vertices and connecting them. Step 2 Find the lengths of the base and height.

Final answer:

To find the perimeter of a polygon with vertices, calculate the sum of the lengths of all the sides of the polygon by taking the distance between each pair of consecutive vertices and adding them together.

Explanation:

To find the perimeter of a polygon with vertices, you need to calculate the sum of the lengths of all the sides of the polygon. The perimeter is the distance around the polygon. You can do this by taking the distance between each pair of consecutive vertices and adding them together. For example, if you have a triangle with vertices A, B, and C, you would calculate the length of AB, BC, and AC, and then add these lengths together to find the perimeter of the triangle.

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Jill is 7 kilometers away from joe. both begin to walk toward each other at the same time. jull walks at 1.5 kilometers per hour. they meet in 2 hours. how fast is joe walking?

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it would be 21 kilometers

The length of a rectangle is 4 in longer than its width. if the perimeter of the rectangle is 28 in , find its area.

Answers

The area is 45 inches squared

BRAINLIESTTTT!!!

1. Which of the following statements best describes the graph of x + y = 4?

It is a line which intersects the x-axis at (4, 4).
It is a line which intersects the y-axis at (4, 4).
It is a line joining the points whose x- and y-coordinates add up to 8.
It is a line joining the points whose x- and y-coordinates add up to 4.

Answers

Problem 1

A is false because any point on the x axis will have y = 0
B is false because any point on the y axis will have x = 0
C is false; the coordinates add up to 4
D is the only thing left. It's true since x+y = 4 indicating that the coordinates add up to 4

Answer: choice D

==============================================================

Problem 2

You're close but the answer is actually choice C. The shaded region is below the slanted line so we'll have a "less than or equal to" sign instead of a "greater than or equal to" sign for the first inequality.

=================================================================

Problem 3

Using geogebra (see attached image) I'm getting the graph that matches with choice A

So it looks like you have the correct answer. Nice job.

A new hybrid car has a 18-gallon gas tank. On one tank of gas, the owner can drive 540 miles. The number of miles traveled varies directly with the number of gallons of gas the car uses.

a. Write an equation that relates the number of miles traveled with the number of gallons of gas used.

b. How many miles can the owner travel on 12 gallons of gas?

Answers

To find the amount of miles/gallon, we have 540 miles/18 gallons=30 miles/gallon. As we add 30 miles for every gallon, the amount of miles traveled is 30*x (e.g. if x is 1 then 0+30=30 and if x is 2 then 30+30 (2 times)=60) with x being the amount of gallons. For b, we just plug 12 in for x to get 20*12=360

5.Thomas walked 1 1/4 miles from his home to his school. Jackson walks 1 2/3 miles from his home to work. How much farther does Jackson walk to school than Thomas?

Answers

Jackson walks 5/12 miles farther than Thomas to work. So, Jackson walks approximately [tex]$ \frac{5}{12} $[/tex] miles farther than Thomas.

To find out how much farther Jackson walks to work than Thomas, we need to subtract the distance Thomas walks from the distance Jackson walks.

Thomas walks 1 1/4 miles, which is equivalent to 5/4 miles. Jackson walks 1 2/3 miles, which is equivalent to 5/3 miles.

To subtract fractions, we need a common denominator, which in this case is 12. So, 5/3 is equivalent to 20/12, and 5/4 is equivalent to 15/12.

Now, subtracting, we get 20/12 - 15/12 = 5/12 miles.

Therefore, Jackson walks 5/12 miles farther than Thomas.

Seth is reading a long novel. if he reads 45 pages per hour, how many hours will it take him to read 585 pages?

Answers

It will take Seth 13 hours to read the novel.
This is true because:
You need to divide 585 by 45, and you get the answer, 13.

Are the graphs of the lines in the pair parallel? Explain. y = 3/7 x + 11 and –3x + 7y = 13

Answers

yes; both have a slope of 3/7

Yes. They have the same slope.

Which of the following is more than 0.35 but less than 0.41
A.
8/25
B.
3/10
C.
2/5
D.
9/26

Answers

its B because 3/10ths is a little bit more than 0.35, but way less than 0.41

Answer:

C. [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Let x be the number which is more than 0.35 but less than 0.41,

⇒ 0.35 < x < 0.41

[tex]\implies \frac{35}{100}< x < \frac{41}{100}[/tex]

[tex]\implies \frac{7}{20} < x < \frac{41}{100}[/tex]

∵ Only [tex]\frac{2}{5}[/tex] is between [tex]\frac{7}{20}[/tex] and [tex]\frac{41}{100}[/tex],

Hence, option C is correct.

There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. In how many different ways can the ribbons be awarded?
1001
6006
24024
38416

Answers

There are 14 possibilities for first place.
There are 13 possibilities for second place, since a dog can't get both first and second place.
There are 12 possibilities for third place, since a dog can't get both first, second, and third place.
There are 11 possibilities for fourth place, since a dog can't get both first, second, third, and fourth place.

Multiply them together and get 24024 possibilities.

Hope this helps!

Answer:

24,024

Step-by-step explanation:

on god

If number is added to its square, the result is 56. find the number.

Answers

Answer:

-8 or +7

Step-by-step explanation:

Let x represent the number. The the problem statement tells us ...

x² + x = 56

x² +x -56 = 0 . . . . . subtract 56 to put into standard form

(x +8)(x -7) = 0 . . . . factor

Solutions to the equation are values of x that make the factors zero:

x = -8 . . . or . . . x = +7

The number could be -8 or +7.

_____

Check

For x = -8, the square is (-8)² = 64. Adding -8 to that gives 64-8 = 56.

For x = 7, the square is 7² = 49. Adding 7 to that gives 49+7 = 56.

is 3.774447444744474447444 a rational number

Answers

No it is an irrational number because it is a decimal with repeating numbers.

A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is 7.25% sales tax, what will the shirt ring up for at the register?
a.
$17.26
b.
$21.67
c.
$29.89
d.
$32.06

Answers

It would ring up for $32.06. To find that answer, first you would have to calculate the discount. To do so you can multiply 45.99 times .65 (100%-35%=65% which in decimal form equals .65). That gives you an answer of $29.89 BEFORE sales tax. To add the sales tax, find the decimal of the percent tax (7.25% = .0725) and add it to one (1.075) and multiply that by the clearance price (29.89X1.075). That gives you a final answer of $32.06. Hope this helps!

The shirt ring-up at the register will be $32.06. Then the correct option is D.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is a 7.25% sales tax.

The shirt ring up for at the register will be given as,

⇒ $45.99 x (1 - 0.35) x (1 + 0.0725)

⇒ $45.99 x 0.65 x 1.0725

⇒ $32.06

The shirt ring-up at the register will be $32.06. Then the correct option is D.

More about the percentage link is given below.

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Which function is negative for the interval [–1, 1]?

The answer is the second graph

Answers

Answer:

the answer is the 2nd graph your welcome:)

Step-by-step explanation:

A function is the relationship between two variables such that each input has exactly one output

The function which is negative for the interval [-1, 1] is the function represented by the second graph

The reason the second graph is the correct option is as follows:

The output values of a function are the y-values of the function. A function is negative over an interval if its y-values are negative in the interval

The given interval is [-1, 1], which is the interval from x = -1, to x = 1

From the given graphs, the graph of the function that is negative over the interval [-1, 1] which is the second graph

a·x² + b·x + c = 0

At x = 0, y = -2

At x = 1, y = 0

At x = -1, y = 0

At x = 2, y = 2

Solving the above gives; The equation of the function is f(x) = x² - 2

The graph of the function is attached

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Sadie's ice cream shop sold 11 sundaes with nuts and 1 sundae without nuts. what is the ratio of the number of sundaes without nuts to the number of sundaes with nuts?

Answers

the ration of the number of sundaes without nuts to the number of sundaes with nuts is:
1:11

Find equations in standard form of the lines through point P that are A.) parallel to, and B.) perpendicular to, line L. P(0,-4); L: 2y=x. I've tried solving it and looking at examples, but no examples in my book are like this problem.

Answers

2y = x
y = 1/2x....the slope of this line is 1/2.

A parallel line will have the same slope.
y = mx + b
slope(m) = 1/2
(0,-4)....x = 0 and y = -4
now we sub and find b, the y int
-4 = 1/2(0) + b
-4 = b
so ur equation is : y = 1/2x - 4...but we need it in standard form Ax + By = C

y = 1/2x - 4....subtract 1/2x from both sides
-1/2x + y = -4...multiply both sides by -2
x - 2y = 8 <== standard form of parallel line
==========================
the slope of the line was 1/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So our perpendicular line will have a slope of -2...see how I flipped 1/2 making it 2/1...and changed the sign, making it -2.

y = mx + b
slope(m) = -2
(0,-4)...x = 0 and y = -4
sub and find b
-4 = -2(0) + b
-4 = b
so this equation is : y = -2x - 4....but we need standard form

y = -2x - 4....add 2x to both sides
2x + y = -4 <== standard form of perpendicular line

In a certain sequence, each term, starting with the 3rd term, is found by multiplying the previous two terms. what is the difference between the 6th and 3rd terms in the sequence? (1) the 1st term is equal to 8 times the 2nd term. (2) the 4th term is equal to 1.

Answers

From F.S 1, consider this series : 8, 1, 8, 8, 64, 64*8.

Again, consider the series 2, 1/4, 1/2, 1/8, 1/16, 1/(8*16). Clearly, the difference of the 6th and the 3rd term is different for them. Insufficient.

From F.S 2, let the series be a,b,ab,ab2,a2b3,a3b5a,b,ab,ab2,a2b3,a3b5. Now we know that ab2=1ab2=1. The required difference =a3b5−ab=ab(a2b4−1)=ab[(ab2)2−1]a3b5−ab=ab(a2b4−1)=ab[(ab2)2−1]= 0.Sufficient.

Find the missing measures for the rectangle.

l = _?_
w = 2 cm
A = _?_
P = 25 cm

A) 12.5 cm; 25 cm2

B) 10.5 cm; 21 cm2

C) 12.5 cm; 21 cm2

D) 10.5 cm; 25 cm2

Answers

P = 2(L + W)
P = 25
W = 2

25 = 2(L + 2)
25 = 2L + 4
25 - 4 = 2L
21 = 2L
21/2 = L
10.5 = L.......so ur length is 10.5 cm

A = L * W
A = 10.5 * 2
A = 21 cm^2

so ur answer is B. 10.5 cm, and 21 cm^2

PLEASE HELP! 15 POINTS

Answers

she earns 550 per week

so that is one one side of the equation 550w

the other side would be the 4500 she spent plus the 200 per week' so 4500 +200w

equation is 550W> 4500+200W

It would take her 13 weeks to make a profit

Lima is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.

Answers

The location above point b, label as point C. That distance is the span at which the compass should stay. I am presuming that is is the same distance from A to B in which two sides of the square are consructed. Keeping the span the same, place the point of the compass on point C and create an arc in the vacinity of the third vertex of the square. Repeat this process with the point of the compass on point A without changing the span of the compass. Where the arcs intersect, label point D. Use the straight edge to draw in AD and CD. The square is completed.

0.74 as a fraction in simplest form

Answers

0.74.....the last digit (4) is in the hundredths place...so put it over 100

74/100 reduces to 37/50 <==

Write programs with loops that compute
a. the sum of all even numbers between 2 and 100 (inclusive).
b. the sum of all squares between 1 and 100 (inclusive).
c. all powers of 2 from 20 up to 220.
d. the sum of all odd numbers between a and b (inclusive), where a and b are user inputs.
e. the sum of all odd digits of an input. (for example, if the input is 32677, the sum would be 3 + 7 + 7 = 17.)

Answers

I just need points kid

<3

tysm

Divide. Write your answer in simplest form.
4 ÷ 5/6

Answers

4 / (5/6)

4 x (6/5) - flip the fraction and flip the second number

4 x (6/5) = 4.8

4.8 is your answer

hope this helps

The inverse of x y is: x y x y y x x y y x

Answers

Answer:

The inverse of xy is yx.

Step-by-step explanation:

Given: xy

We need to find the inverse of xy.

To find inverse of an expression, we need to replace the variable x by y and y by x.

Given xy.

Now replace x by y and y by x, we get

Therefore, the inverse of xy is yx.

Let me show you an example.

y = x - 2

To find the inverse function, replace x by y and y by x, we get

x = y - 2

It is an equation, to write the equation in terms of y, add 2 from both sides, we get

x + 2 = y -2 + 2

x + 2 = y

Therefore, y = x + 2

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