Answer: The correct answer is B) 21%
Step-by-step explanation:
This is a binomial model probability problem. We need to find the probability of 6 out of 10 new births at a hospital being boys. The information we need is the number of trials observed, the number of successes and the percentage chance you have of any birth being a boy. The number of trials are 10, with the number of successes being 6 (the number of trials we want to be boys) It states that 51% or 0.51 of all births in the US are boys so we can use this value to determine our answer using our binomial model formula. After simplifying we get our answer of 21% I hope this has been of use to you :)
Have a wonderful rest of your day!
The probability that 6 out of 10 births at a local hospital are boys is 21%, so option B is correct.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given data:
In the U.S., 51% of all births are boys, and 49% are girls
Calculate the probability by the formula given below,
[tex]P(x) = [n! / {x!(n-x)!}]P^xQ^{n-x}[/tex]
Here x = 6 and n = 10, put the values,
P(x) = [10! / {6!(10-6)!}] × 51⁶ × 49⁽¹⁰⁻⁶⁾
P(x) = [10! / {6!4!}] × 0.51⁶ × 0.49⁴
P(x) = 210 × 0.0176 × 0.0577
P(x) = 0.21
P(x) = 21 %
Therefore, the probability that 6 out of 10 births at a local hospital are boys is 21%.
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Use the rules of significant figures to answer the following question:
54.313 × 12.09
A. 657
B. 660
C. 656.64
D. 656.6
does anyone know this please help
Answer:
It is the 3rd graph
Step-by-step explanation:
It is the only one that shows a porpotional relationship.
Answer:
sry mate.....
............
Need help if u do I will put brainliest
The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find an equation for the parabola.
INCLUDE WORK.
Answer:
y=-0.215x^2+35
Step by Step:
Let, [tex]h=0[/tex], [tex]k=35[/tex], [tex]x=8[/tex], [tex]y=21[/tex]
We know that, the general equation of the parabola.
[tex]y-k = a(x-h)^2[/tex]
[tex]\Rightarrow y=a(x-h)^2+k .........(i)[/tex]
Substitute the value of [tex]h, k, x, y[/tex] in equation [tex](i)[/tex] and find the value of [tex]a.[/tex]
[tex]21=a(8-0)^2+35[/tex]
[tex]\Rightarrow 21=a\times 8^2+35[/tex]
[tex]\Rightarrow 21=64a+35[/tex]
[tex]\Rightarrow 64a=21-35[/tex]
[tex]\Rightarrow 64a=-14[/tex]
[tex]\Rightarrow a=\frac{-14}{65}[/tex]
[tex]\Rightarrow a=-0.215[/tex]
Hence, the equation of the parabola is:
[tex]y=-0.215x^2+35[/tex]
What is the equation in point−slope form of the line passing through (−3, −4) and (0, 2)?
Use the table below to answer this question:
x y
0
2
1
−1
2
−6
Find the average rate of change for the given function from x = 0 to x = 2.
Answer:
The answer is A
Triangle IHJ is similar to triangle RST.
What is the length of side _
RT
Eugene sold half of his comic books and then bought eight more. He now has 32. With how many did he begin?
Answer:
48 books
Step-by-step explanation:
32-8 = 24
24= 1/2 of total
24x2=48
Answer=48 books
Check:
48/2=24
24+8=32
YAY!!
Answer:
48 comic books
Step-by-step explanation:
Let's use x as the amount that he originally had.
If he sold half of them, that would be:
(1/2)x
Then he bought 8 more, so you would add 8 to that total.
(1/2)x + 8
If he now has 32 then we need to set that equation to equal 32.
(1/2)x + 8 = 32
Subtract 8 from each side.
(1/2)x = 24
Then you will divide 24 by 1/2. That is the same thing as multiplying by 2.
So,
x = 48
Check work
(1/2)x + 8 = 32
(1/2)(48) + 8 = 32
Half of 48 is 24.
24 + 8 = 32.
32 = 32.
Which number(s) below belong to the solution set of the equation? Check all that apply.
x + 10 = 40
A. 40
B. 80
C. 400
D. 4
E. 30
F. 50
Answer:
E only
Step-by-step explanation:
find the slope thanks
Answer:
Hello! Just here so the other person can get brainliest. I will do the same for the other questions.
Step-by-step explanation:
Please help me solve this !:)
Explain your answer
I will give braisnlt .
Answer:
A a rotation 180 degrees about the origin seems right
Answer:
B
Step-by-step explanation: Too easy to explain
-3a + 4 = -14
What the answer to this
Answer:
-6
Step-by-step explanation:
-3a + 4 = -14
-3a = -14 - 4
-3a = -18
a = -18 / 3
a = -6
Answer:
a = 6
Step-by-step explanation:
Step 1: Subtract 4 from both sides.
-3a + 4 - 4 = -14 - 4
+4 and -4 cancel out.
Step 2: Subtract 4 from -14 to get -18.
-3a = -18
Step 3: Divide both sides by -3.
a = -18/-3
Step 4: Divide -18 by -3 to get 6.
a = 6
Let's check our work by substituting a for 6.
-3(6) + 4 = -14
Multiply -3 by 6 to get -18.
-18 + 4 = -14
Add -18 and 4 to get -14.
-14 = -14
This is true, so a = 6.
It is not possible to divide 22 by 0 because there is no you can ______ by 0 and get 22.
A. multiply
B. add
C. subtract
D. divide
Answer:
divide
Step-by-step explanation:
divide
..........................
Answer:
its A.multiply
Step-by-step explanation:
if you cannot divide than you cannot multiply
Find the missing side length in the right triangle below.
Answer:
69
Step-by-step explanation:
if 50% is 15 what is 100%
Answer:
30
Step-by-step explanation:
If 50% is 15 then to find 100% you have to multiply 15 by 2
Because 50% is half of 2.
15•2=30
Answer:
30
Step-by-step explanation:
50% half 100 so 15*2 is 30
Evaluate functions from their graph f(-5)=
Answer:
7
Step-by-step explanation:
(-5,7) lies in the graph!
Please Help
Simplify.
(x^4)^3
Answer:X^12
Step-by-step explanation:
Hey there!
“ (x⁴)³ ”
(x⁴) = x⁴ • x⁴ • x⁴
x⁴ = (x • x • x • x) * (x • x • x • x) * (x • x • x • x)
Number of x’s is 12
3 • 4 = 12, right?
Answer: x¹² ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Which set of side lengths form a right triangle?
2 inches, 3 inches, 4 inches
6 inches, 8 inches, 10 inches
8 inches, 9 inches, 11 inches
10 inches, 12 inches, 13 inches
Answer:
It’s 10 inches, 12 inches, 13 inches
Step-by-step explanation:
Twins Isaac and Isaiah were just born. Isaac weighs 6666 pounds 2222 ounces and Isaiah weighs 5555 pounds 4444 ounces.
Step-by-step explanation:
Kindly make the question clearer for assistance
if 50% is 10 what is 75%
Answer:
15
Step-by-step explanation:
hhwkdveiwvsjzvejdif
In Mr. Romano‘s class, 40% of the students like baseball. If 14 of his students
like baseball, how many students are in Mr.Romano’s Class?
Answer:
35
Step-by-step explanation:
The number of students in Mr.Romano’s class is 35.
Given that, in Mr. Romano‘s class, 40% of the students like baseball.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of students in Mr.Romano’s class be x.
Here, 40% of x = 14
⇒ 40/100 × x = 14
⇒ 0.4x = 14
⇒ x = 14/0.4
⇒ x = 35
Therefore, the number of students in Mr.Romano’s class is 35.
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Hello :)
Please help me solve this
Explain answer
Answer:
[tex]Scale\ Factor = \frac{1}{2}[/tex]
ABC dilated
Step-by-step explanation:
Given
Triangles ABC and DEF
Required
Determine the scale of dilation
First, we pick a side on ABC
[tex]AB = 6[/tex]
Pick a corresponding side on DEF
[tex]DE = 3[/tex]
The scale factor is then calculated as:
[tex]Scale\ Factor = \frac{DE}{AB}[/tex]
[tex]Scale\ Factor = \frac{1}{2}[/tex]
i.e. ABC was dilated by 1/2
2 ( x + 1 )
it's just a simple warm up question, please hurryyy.
Answer:
2x+2
Step-by-step explanation:
It's multiplicative distribution - when you multiply something in parenthesis by another expression, you distributively multiply the expression to the expression in the parenthesis.
I need help...
Please help to find ...
Answer:
NEED TO FIND WHAT
Step-by-step explanation:
A closed box has a square base with side length l feet and height h feet. Given that the volume of the box is 29 cubic feet, express the surface area of the box in terms of l only.
Answer:
The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]
Step-by-step explanation:
The length of the box = [tex]l[/tex]
The height of the box = [tex]h[/tex]
The volume of the box can be obtained by multiplying the surface area of the base by the height of the box.
The surface area of the base of the box is a square, so it will be obtained by multiplying [tex]l \times l = l^2[/tex]
hence volume = [tex]l^2 \times h =29[/tex]
Notice that we are told to give our answer in terms of l, so we will make h the Subject of the formula in the above equation.
[tex]h =29/l^2[/tex]
In the next phase, we are to find the surface area of the box.
The box has a square base, hence it will be made up of
2 squares with 4 rectangles. This is assuming the top is closed.
This means the surface area will be
[tex]2(l^2) +4 (l\times h)[/tex]
recall [tex]h = 29/l^2[/tex]
Hence, surface area =
[tex]2(l^2) +4(l \times 29/l^2)\\2l^2 +116/l[/tex]
The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]
The surface area of the closed box in terms of l only, which has the square base is,
[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]
What is of volume of cuboid?
Volume of cuboid or box is the amount of quantity, which is obtained by it in the 3 dimensional space.
The volume of cuboid or box can be given as,
[tex]V=l\times b\times h[/tex]
Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.
A closed box has a square base with side length l feet and height h feet. Therefore, the length and width will be the same.
The volume of the box is 29 cubic feet. Thus,
[tex]29=l\times (l)\times h\\h=\dfrac{29}{l^2}[/tex]
The surface area of the square base box is,
[tex]A=2l^2+4lh[/tex]
Put the value of height,
[tex]A=2l^2+4l\dfrac{29}{l^2}\\A=2l^2+\dfrac{116}{l}\\[/tex]
Hence, the surface area of the closed box in terms of l only, which has the square base is,
[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]
Learn more about the volume of cylinder here;
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A $96.00 item is marked down by 25%
what is the new cost of the item?
round if needed
Answer:
$72.00
Step-by-step explanation:
Answer:
$72
Step-by-step explanation:
25% of $96 = [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] = [tex]\frac{2400}{100}[/tex] [tex]\frac{2400}{100} = 24[/tex] $96 - $24 = $72I hope this helps!
WILL GIVE BRAINLIEST
Find the equation of the line
perpendicular to y=-2x + 1 that
also intersects the point (8, 2).
y- Hx+ 1
Enter
Answer:
y=1/2x-2
Step-by-step explanation:
perpendicular lines have a neg. reciprocal for the slope.
for example:
in this equation y=-2x+1
-2 is the slope and the negative reciprocal would be 1/2
hence, the slop of our new line is 1/2
y=1/2x+b
we can substitute the coordinates given for x and y:
2=1/2(8)+b
2=4+b
-2=b
hence the new equation is y=1/2x-2
W + 7 < 4 you don’t have to show work
What are the possible degrees for the polynomial function? Help
Answer:
It is option 2 "even degrees of 6 or greater
Step-by-step explanation:
m over 8 minus 5 equal 12
Answer:
m = 136
Step-by-step explanation:
m/8 - 5 = 12
1. Add 5 on both sides
m/8 - 5 + 5 = 12 + 5
m/8 = 17
Multiply 8 on both sides since u are trying to isolate the variable
m/8 * 8 = 17*8
m = 136
Check
136/8 - 5 = 12
17 - 5 = 12
12 = 12
Hope it helped!
Step-by-step explanation:
[tex]\frac{m}{8}[/tex] - 5 = 12 : Original Problem
[tex]\frac{m}{8}[/tex] -5 +5 = 12 + 5 : Bringing the constants to one side
[tex]\frac{m}{8}[/tex] = 17 : Simplification
[tex]\frac{m}{8}[/tex]×8 = 17×8: Isolating the variable
m = 136 : The answer!!!
Checking the answer
[tex]\frac{136}{8}[/tex] -5 = 12 : Substitution
[tex]\frac{136}{8}[/tex] = 17 : Bringing constants to one side and simplification
136 = 17 × 8 : Isolating the answer
136 = 136 : Success!!!
I hope this is what you wanted and I hope this helps!!!
Please help with this
Answer: pretty sure its 85
Step-by-step explanation:
Answer:
85°
Step-by-step explanation:
Line segment AB || line m
Therefore, BC is transversal.
[tex] \therefore m\angle ABC + (m\angle ACB +m\angle A D) = 180\degree[/tex]
[tex] \therefore m\angle ABC + (55\degree + 40\degree) = 180\degree[/tex]
[tex] \therefore m\angle ABC + 95\degree = 180\degree[/tex]
[tex] \therefore m\angle ABC = 180\degree -95\degree [/tex]
[tex] \therefore m\angle ABC = 85\degree [/tex]