Answer:
Step-by-step explanation:
Since the actual probability of having a boy child is 0.51, the probability of having a girl child will be (1 - 0.51) = 0.49
A couple plans to have 3 kids; 2 of whom are boys
(A) Using the binomial model, the probability that 2 of the 3 children will be boys is (2/3) × 0.51 = 0.34
(B) The possible orderings of the 3 children are given below:
B1 B2 G / B1 G B2
B2 B1 G / B2 G B1
G B1 B2 / G B2 B1
Where B1 is one male child and B2 is the other male child
(C) If we wanted to calculate the probability that a couple who plans to have 8 kids will have 3 boys, briefly describe why the approach from part (b) would be more tedious than the approach from part (a)
If the probability of 2/3 is 0.34 then the probability of 3/8 will be 0.1912 when you cross multiply
Which represents the equation of the line? *
1 point
у
10
NA 0000
1 (2, 2)
-10-8
-4
12 4 6
8
-20
-2.
10
-4
(0, -4)
-6
10
Answer:
2
Step-by-step explanation:
PLEASE HELP I WANNA Sleep BC it's midnight
Please answer both A and B
For Brainliest
Pick any of the two sides and set them equal to one another. So we'll have three different equations
4(x-1) = x+8
or
x+8 = 2x+4
or
4(x-1) = 2x+4
This works because in any equilateral triangle, the three sides are the same length.
--------------------------
If you're curious about the value of x, then we could do the following steps.
x+8 = 2x+4
2x+4 = x+8
2x-x = 8-4
x = 4
If x = 4, then
4(x-1) = 4(4-1) = 12x+8 = 4+8 = 122x+4 = 2*4+4 = 12Each side is 12 units long
Answer:
5-x=40+29 (x=69)
Step-by-step explanation:
PLEASE ANSWER QUICK!Kierran is trying to find the circumference of a circle. He knows that the radius (r) of the circle is 6 feet and that the diameter, d=2r. Which formula should he use?
A) A=3.14(2r)^2
B) C=3.14(2r)
C) A=3.14d^3
D) C=3.14(2D)
Answer:
B.Step-by-step explanation:
The formula for the circumference is of a circle is: C = 2πr. ___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)If an objects mass is 10kg what is it’s weight?
Answer:
Weight varies with location depending upon the acceleration due to gravity eg. for a mass m = 10kg on Earth it`s weight is W = mg = 10 x 10 = 100N.
Step-by-step explanation:
Simply the exponential expression 5^2
Answer:
25
Step-by-step explanation:
30 Points! will mark brainliest. answer asap Two angles form a linear pair. The measure of one angle is 23 the measure of the other angle. Find the measure of each angle. Smallest angle: Largest angle:
Answer:
157 degrees
Step-by-step explanation:
the two angles should add up to 180 degrees, so 180 - 23 = 157
answer
smallest 72 and the largest 108
Look at the figure. Points C, D, E, and G are _______ points.
A. Coplanar
B. Collinear
C. Back
D. Hidden
Answer:
a. Coplanar
Step-by-step explanation:
To be coplanar means to be on the same plane. Since C, D, E, and G are on the same plane, they can be called coplanar. Back and Hidden are not math terms. Collinear means points lay on the same line
Answer: A. Coplanar
Step-by-step explanation:
Given the relation D={(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation D a function? (A)-3 (B)-6 (C) 8 (D) 6
Answer:
(B) -6
Step-by-step explanation:
If D is to be a functions, the value of x cannot repeat any of the other values listed first in the ordered pairs. Values of 6, 8, and -3 must be rejected. The only remaining answer choice is -6.
Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year. About how long will it take for the account to be worth $9,000? (3 points) a 21 years, 1 month b 18 years, 0 months c 19 years, 10 months d 9 years, 11 months
Answer:
d 9 years, 11 months
Step-by-step explanation:
Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year.
P = $5,960.32
Rate = 4.2%
Number of years = x
Final amount=$9000
Number of times compounded= x/2
A= p(1+r/n)^(nt)
9000= 5960.32(1+(0.042*2)/x)^(x/2 *x)
9000= 5960.32(1+0.084/x)^x²/2
2(9000/5960.32)=(1+0.084/x)^x²
3.019972=((x+0.084)/x)^x²
On trial an error
The value of x is found to be approximately 9 year, 11 months
The water level at the Dead Sea dropped from 390 meters below sea level in 1930 to 423 meters below sea level in 2010. By how much did the water level drop from 1930 to 2010?
Answer:
33ft below sea level
Step-by-step explanation:
423-390=33ft
A number divided by eleven.
Answer:
Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11. Since -11 is divisible by 11, so is 2728.
A space for storing boxes is 36 inches high. Each box is 6 inches high. A space of 9 inches must be left at the top. what is the maximum number of boxes that can be stacked in this space?
Answer:
Step-by-step explanation: 36-9 equals 27. You can only fit 4 evenly so thats the answer
The maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that the height of the space in which boxes are needed to be stored is 36 inches high. Also, the height of the box is 6 inches.
But a space of 9 inches must be left at the top. Therefore, the space left to keep the boxes is,
Space left to keep the boxes = 36 inches - 9 inches
= 27 inches
Now, the number of boxes that can be put in the leftover space is,
Number of boxes = 27 inches / 6 inches
= 4.5
Since a half box can be placed in the space, therefore, the number of boxes that can be in the space is 4.
Hence, the maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ2
Please urgent answer needed with steps
Answer:
43.3
Step-by-step explanation:
Area = Base * Height
Area = 7 * 6.2
Area = 43.3
You buy a container of cat litter for $12.25 in a bag of cat food for X dollars the total purchase is $19.08 which includes 6% sales tax right and solve equation to find the cost of the cat food
Answer:
List Price = $ 20.30
Discount Amount = $ 1.22
Simplify 4(x + 40) +2(x -3) plsss help
Answer:
6x + 154
Step-by-step explanation:
4(x + 40) +2(x -3) =
4x + 160 + 2x - 6 =
6x + 154
Answer:
2(3x + 77)
Step-by-step explanation:
4(x+40)+2(x-3)
4x+160+2x-6
6x+154
=2(3x+77)
Can someone please help me with this question? Thanks.
Answer:
f(x) = 3 + 5x
Step-by-step explanation:
For this problem, we can see a simple pattern whereas x increases by 1, y is increasing by 5.
This means that f(0) = 3.
And to create the function, we simply use f(0) summed with the increasing 5 multiplied by the input x.
Hence, we will create the function equation:
f(x) = 3 + 5x
Cheers.
Which of these is a factor in this expression- 7z^4-5+10(y^3+2). Choices- A- 7z^4-5, B- 10(y^3+2) C = -5+10(y^3+2) D= (y^3+2)
Answer:
D. ([tex]y^{3}[/tex] + 2)
Step-by-step explanation:
A factor of an expression can either be in the form of an algebraic expression, alphabet or number. In the question, the given expression can be written as;
7[tex]z^{4}[/tex] - 5 + 10[tex]y^{3}[/tex] + 20
Factorizing the expression gives;
7[tex]z^{4}[/tex] - 5 + 10([tex]y^{3}[/tex] + 2)
Therefore, it would be observed that the factor in the expression is;
([tex]y^{3}[/tex] + 2)
Wich compound inequality is graphed below?
Answer:
the third one: -15 <= 4x-3 < 5
Which polynomials can be factored using the binomial theorem? Check all that apply. x2 + 20x + 400 x2 + 40x + 400 x3 – 3x2 + 9x – 27 x3 – 9x2 – 27x – 27 256x4 – 64x3 + 16x2 – 4x + 1 256x4 – 256x3 + 96x2 – 16x + 1
Answer:
(x2 - 5x + 7) • (x - 4)
Step-by-step explanation:
Answer:
SECOND AND LAST ONE
x2 + 40x + 400
256x4 – 256x3 + 96x2 – 16x + 1
Step-by-step explanation:
Solve the equation: q – 17 = 23
Answer:
Hey there!
q-17=23
+17=+17
q=40
Let me know if this helps :)
The difference of four times a number and six is two. Find the number
Step-by-step explanation:
4(x-6)=2
4x-24=2
4x=2+24
4x=28
x=7
Use the box-and-whisker plot shown to answer the following question.
What is the interquartile range?
A. 4
B. 6
C. 9
Answer:
15-9=6 So the answer is B. 6
If the correlation coefficient has a negative value, then the coefficient of determination:_________.a. can take on either a negative or positive value.b. must be positive.c. will also have a negative value.d. will equal zero.
Answer:
Step-by-step explanation:
The sign of r depends on the sign of the estimated slope coefficient b1:
If b1 is negative, then r takes a negative sign.
If b1 is positive, then r takes a positive sign.
That is, the estimated slope and the correlation coefficient r always share the same sign. Furthermore, because r2 is always a number between 0 and 1, the correlation coefficient r is always a number between -1 and 1.
One advantage of r is that it is unitless, allowing researchers to make sense of correlation coefficients calculated on different data sets with different units. The "unitless-ness" of the measure can be seen from an alternative formula for r, namely:
r=∑ni=1(xi−x¯)(yi−y¯)∑ni=1(xi−x¯)2∑ni=1(yi−y¯)2−−−−−−−−−−−−−−−−−−−−−−−√
If x is the height of an individual measured in inches and y is the weight of the individual measured in pounds, then the units for the numerator is inches × pounds. Similarly, the units for the denominator is inches × pounds. Because they are the same, the units in the numerator and denominator cancel each other out, yielding a "unitless" measure.
Another formula for r that you might see in the regression literature is one that illustrates how the correlation coefficient r is a function of the estimated slope coefficient b1:
r=∑ni=1(xi−x¯)2−−−−−−−−−−−−√∑ni=1(yi−y¯)2−−−−−−−−−−−√×b1
A Poker hand consisting of five cards is dealt from a deck of fifty two cards. What is the probability that the Poker hand consists of four spades and one heart?
Answer: 108336
Step-by-step explanation:
given data:
cards on deck = 52
Since 2 queens are supposed to be in the 5 card hand. Therefore, 2 queens are choosen since we have a total of 4.
Since 2 Queens have been chosen already choosen. we are left with 3cards out of the hand of 5. This cards are to be choosen from the 48 remaining cards. Similarly same process would be used for other combination of playing cards.
(42∗483)+(43∗482)+(44∗481).
= (6 * 17296) + (4 * 1128 ) + (1 * 48)
= 103776 + 4512 + 48
=108336
The compositions f(g(x)) and g(f(x)) of functions fand g are shown on the graphWhich statements describe the compositions? Check all that apply
Answer:
a,c,d,f had the same problem just now
Step-by-step explanation:
Answer:
The answers are A, C, D, E !
Step-by-step explanation:
Graph the function and select the y-intercept
y = 2 • 3^x
a. 1
b. 2
c. 3
d. 4
Answer:
For the graph see attached image.
The y-intercept is 2
Step-by-step explanation:
The requested graph of the function is included in the attached image.
The y-intercept can be seen from the image, but also from finding the y-value when x= 0 (zero):
[tex]y=2\,\,\,3^x\\y=2\,\,\,3^0\\y = 2 \,\,\,(1)\\y = 2[/tex]
Answer:
To graph the function y = 2 • 3^x, we can start by identifying the y-intercept. The y-intercept is the point where the graph intersects the y-axis, which occurs when x = 0.
To find the y-intercept, we substitute x = 0 into the equation y = 2 • 3^x:
y = 2 • 3^0 = 2 • 1 = 2
Therefore, the y-intercept is 2, which corresponds to option (B).
1/2 (b - 10) + 2b = 25
Answer:
the answer is 12
Step-by-step explanation:
Simplify both sides of the equation.
12(b−10)+2b=25
(12)(b)+(12)(−10)+2b=25(Distribute)
12b+−5+2b=25
(12b+2b)+(−5)=25 (Combine Like Terms)
52b+−5=25
52b−5=25
add 5 to both sides.
52b−5+5=25+5
52b=30
multiply both sides by 2/5.
(25)*(52b)=(25)*(30)
b=12
Answer:
b=12
Step-by-step explanation:
1/2 (b - 10) + 2b = 25
Multiply each side by 2 to get rid of the fractions
2*1/2 (b - 10) +2* 2b = 25*2
b-10 +4b = 50
Combine like terms
5b -10 = 50
Add 10 to each side
5b -10+10 = 50+10
5b = 60
Divide by 5
5b/5 = 60/5
b = 12
sketch and label the figures described. Use dashes for hidden parts.
Answer:
this means that the figures given to you , sketch and label the ones described and use dashes for hidden one
Step-by-step explanation:
helllllp mee plzz plz tell me the answer asaP
Answer:
D 6 units
Step-by-step explanation:
the answer is d since the height times the side is the area and 6 times 4 is 24
Refer to the following distribution of commissions:______. Monthly Commissions Class Frequencies $600 up to $800 3 $800 up to 1,000 7 $1,000 up to $1,200 11 $1,200 up to $1,400 22 $1,400 up to $1,600 40 $1,600 up to $1,800 24 $1,800 up to $2,000 9 $2,000 up to $2,200 4 For the preceding distribution, what is the midpoint of the class with the greatest frequency?
Answer:
the midpoint of the class with the greatest frequency 1500
Step-by-step explanation:
The illustration of the dataset given can be well represented in a table format as shown below.
Class Frequency Relative Frequency
$600 - $800 3 [tex]\mathbf{ \dfrac{3}{120} = 0.025}[/tex]
$800 - $1000 7 [tex]\mathbf{ \dfrac{7}{120} = 0.059}[/tex]
$1000 - $1200 11 [tex]\mathbf{ \dfrac{11}{120} = 0.092}[/tex]
$1200 - $1400 22 [tex]\mathbf{ \dfrac{22}{120} = 0.183}[/tex]
$1400 - $1600 40 [tex]\mathbf{ \dfrac{40}{120} = 0.333}[/tex]
$1600 - $1800 24 [tex]\mathbf{ \dfrac{24}{120} = 0.2}[/tex]
$1800 - $2000 9 [tex]\mathbf{ \dfrac{9}{120} = 0.075}[/tex]
$2000 - $2200 4 [tex]\mathbf{ \dfrac{4}{120} = 0.033}[/tex]
Total 120 1
Therefore, the midpoint of the class with the greatest frequency is between $1400 - $1600 since the frequency 40 happens to be the greatest frequency
The midpoint =[tex]\dfrac{upper \ limit + \ lower \ limit}{2}[/tex]
The midpoint =[tex]\dfrac{1400+1600}{2}[/tex]
= 1500