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%.
To know more about probability:
https://brainly.com/question/743546
#SPJ2
Solve the inequality
Answer:
x ≥ -64
Step-by-step explanation:
"3/4ths of a number is greater than or equal to -48"
3/4 of a number ≥ -48
Let's say the number is x.
(3/4)x ≥ -48
Multiply both sides by 4.
3x ≥ -192
Divide both sides by 3.
x ≥ -64
neeed helppp pleasseeee
What involves examining and evaluating information, as well as weighing alternatives and considering consequences?
Answer: Critical Thinking.
Step-by-step explanation:
Critical thinking is the process of conceptualizing, applying, analyzing, synthesizing, and/or reviewing data acquired from, or generated by, observation, experience, reflection, reasoning, or communication actively and skillfully as a guide to intellectually disciplined belief and action.
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve,Check, show work:
a) 2x + 7 = 15
b) 3/4x + 8 = -12
A)11
B)0.1875
Step-by-step explanation:
2x+7=15
2x+7-7=15+7
2x=22
2x/2=22/2
3.4x+8=-12
3/4x+8-8=-12+8
3/4x=-4
3/4divided by 3/4=-4 divided by 3/4
x=0.1875
Passes through (-4,-5) Slope = -314
Please Helppppp!!!!!!!!!!!!
Answer:
[tex]y=-314x-1261[/tex]
Step-by-step explanation:
When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.
[tex]y=mx+b\\-5=-314(-4)+b[/tex]
Now we solve
[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]
So now that we know everything we need we plug in and....
[tex]y=mx+b\\y=-314x-1261[/tex]
we've got our equation!
Answer:
The line slants upward, so the slope is positive.
Write an equation of the line that passes through (−2,3) and (0,8).
Answer:
[tex]y = \frac{5}{2}x + 8[/tex]
Step-by-step explanation:
(-2 , 3 ) ; (0 , 8)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{8-3}{0-[-2]}\\\\=\frac{5}{0+2}\\\\=\frac{5}{2}[/tex]
m = 5/2 ; (0 , 8)
Equation: y -y1 = m(x -x1)
[tex]y - 8 =\frac{5}{2}(x - 0)\\\\y - 8 =\frac{5}{2}x\\y = \frac{5}{2}x + 8[/tex]
The intensity of the sound, I watts/m², received from a loudspeaker is
inversely proportional to the square of the distance, d metres, from the
loudspeaker.
When d = 2,1 = 30
Work out the value of I when d = 10
PLEASE HELP
Answer:
The value of I for d = 10 will be 1.2 watts/m^3
Step-by-step explanation:
Let I be the intensity of sound and d be the distance
According to given statement, "The intensity of the sound, I watts/m², received from a loudspeaker is inversely proportional to the square of the distance, d meters, from the loudspeaker. "
[tex]I \propto \frac{1}{d^2}[/tex]
Removing the proportionality symbol
[tex]I = \frac{k}{d^2}[/tex]
Putting d = 2 and I = 30
[tex]30 = \frac{k}{(2)^2}\\30 = \frac{k}{4}\\k = 30*4\\k = 120[/tex]
Putting the value of k in the equation
[tex]I = \frac{120}{d^2}[/tex]
Putting d = 10
[tex]I = \frac{120}{(10)^2}\\I = \frac{120}{100}\\I = 1.2[/tex]
Hence,
The value of I for d = 10 will be 1.2 watts/m^3
A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3. 14 as an estimate for .
O A. 7m
OB. 11 m
OC. 22 m
OD. 28 m
Answer:
Yeah the answer is 22
Step-by-step explanation:
Good job! :)
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
3x – 4
Answer:
degree- 1
name- binomial i think
SOMEONE HELP PLEASE !!!
n^2 - m; use m = 7, and n = 8
Answer:
57
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
n² - m
m = 7
n = 8
Step 2: Evaluate
Substitute: 8² - 7Exponents: 64 - 7Subtract: 57Out of 498 applicants for a job, 187 have over 10 years of experience and 127 have over 10 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience
Answer:
the probability that randomly selected applicants over 10 years of experience is 0.6791
Step-by-step explanation:
The computation of the probability that randomly selected applicants over 10 years of experience is as follows:
Total would be
= 187 have 10 + years experience
Now
P(graduate | 10+) = (graduate and 10+ years experience) ÷ (10 + years of experience)
= 127 ÷ 187
= 0.6791
Hence, the probability that randomly selected applicants over 10 years of experience is 0.6791
The top of a 25-foot ladder is sliding down a wall at a rate of 3 feet per second. When the top of the ladder is 15 feet from the ground, what is the rate of change between the bottom of the ladder and the wall?
Answer:
1.8ft/s
Step-by-step explanation:
Using the formula for calculating Speed as shown:
Speed = Distance/Time
Time = Distance/Speed
t = d/s
Given
d1 = 25 foot
s1 = 3ft/s
d2 = 15ft
Required
s2
Using the formula;
d1/s1 = d2/s2
s2 = s1d2/d1
s2 = 3*15/25
s2 = 45/25
s2 = 1.8ft/s
Hence the rate of change between the bottom of the ladder and the wall is 1.8ft/s
Plz help me it says show work to I’m confused
Answer:
1 = 7x=42 (divide both sides by 7)
7x/7 =42/7
x=6
2.=9y=81 (divide both sides by 9)
9y/9y= 81/9
y=9
3.= –40=8a (divide both sides by 8)
–40/8= 8a/8
a=5
4.=y divided 11=12
y=11 multiplied by 12
y= 132
5.= –15y=135( divide both sides by –15)
–15y/–15=135/–15
y= –9
6.= 17p=51(divide both sides by 17)
17p/17=51/17
p=3
7.= –65= –13w (divide both sides by 13)
–65/–13=–13w/–13
w=5
8.=y/–2=4
(cross multiply)
y/–2=4/1
4 multiplied by –2= –8
therefore:y= –8
Step-by-step explanation:
I HOPE THIS HELPED :)
Answer:
a) 7x=42
Step-by-step explanation
use the co-efficient of the unknown to divide both sides
7x=42
7x/7=42/7
x=6
9y=81
9y/9=81/9
y=9
-40=8a
is the same thing as
-8a=40
-8a/-8=40/-8
a=-5
y+11=12
y=12-11
y=1
-15y=135
-15y/-15=135/-15
y=9
17p=51
17p/17=51/17
p=3
-65=-13w
13w=65
13w/13=65/13
w=5
y/-2= 4
cross multiply y=-8
A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is 1/3?
1. 7
2. 12
3. 6
4. 9
5. 11
Answer:
7
Step-by-step explanation:
1. A 15-pound bag of sugar is being split into containers that hold of a pound. How many
containers of sugar will the 15-pound bag create?
The answer is: 17 1/7 containers. The work is on the photo
Answer:
yes
Step-by-step explanation:
yes
Which three side lengths best describe the triangle in the diagram?
O NG
1
2
3
0 1 2
3 4
5 6 7 8 9 10 11 12 13
LLLLLLL
12 13
5
8 9 10 11
4
O NCS 2 3
2
O NOS
O A. 5 cm, 12 cm, and 13 cm
OB. 5 cm, 10 cm, and 13 cm
O C. 4 cm, 8 cm, and 12 cm
OD. 7 cm, 12 cm, and 13 cm
Step-by-step explanation:
Option A best describes the diagram given above.
A cell phone is originally priced at $80. The online retailer gives a discount and the cell phone is now priced at $40. Enter the percentage discount for the cost of the cell phone.
Answer: The percent that the phone is on sale is 50%. The discount if 40 dollars.1/2 of the total will be taken off.
r
__ = 1.5
14
what does r equal
Answer:
answer is r=21
Step-by-step explanation:
multiply 1.5 with 14
The area of a square field is 4,900 square meters. How long is one side
of the field?
O 70 meters
O 140 meters
O 560 meters
O 1225 meters
Answer:
1225
Step-by-step explanation:
divide by 4 because a square has 4 sides
What is 10% of 10$ plz
Answer:
1 dollar
Step-by-step explanation:
Answer:
1 dollar
Step-by-step explanation:
Hope this helps!
When is subtraction always the first operation done in an expression? a. When it is the first operation in an expression, from left to right. b. When it follows addition in an expression. c. When it is in parentheses in an expression. d.Never. 1.
Answer:
Naruto usamaki is the greatest hokagey in the leaf village
Step-by-step explanation:
I took the test on edge
Hello? STOP RIGHT THERE.... Please help me with this.
Answer: THE ANSWER IS 2 :)
Step-by-step explanation:
3(q+2) Do distributive property
3q=6 Divide 3q to both side
3q = 3q
q= 2 This is the answer
PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS! ..
Answer:
D
Step-by-step explanation:
7 - z = 3 + z + 4 - 2z
7 - 3 - 4 = z - 2z + z
0 = 0 (Infinitely many solutions)
5(a + 4) - 15 = -5(a - 1)
5a + 20 - 15 = -5a + 5
5a + 5a = 5 - 20 + 15
10a = 40
10a/10 = 40
a = 4
(one solution)
-2d + 4d - 4 = 5 + 3(d - 3)
2d - 4 = 5 + 3d - 9
2d - 3d = 5 - 9 + 4
- d = 0
d = 0
(one solution)
-11(n - 2) + 8(n + 1) = -3(n + 10)
-11n + 22 + 8n + 8 = -3n - 30
-11n + 8n + 3n = -30 - 22 - 8
0 = -60
(no solutions)
Please help.. Please. Is this a positive trend or negative trend or no trend
Answer:
it's a no trend cause its literally nothing but dots
for each one fifth, use a horizontal line or lines to show fractions equivalent to 1/5 and write the equivalent fractions
Answer:
2/10
Step-by-step explanation:
The variables y and x have a proportional relationship, and y = 9 when x = 2. What is the value of y when x = 3? Enter your answer as a decimal in the box.
Could someone pls help me
Answer: Ik an easier way to answer it without waiting for someone to answer it for you. So all you have to do is search up the question for each expression and you'll find it. I remember doing this yesterday for nearly that exact worksheet but i forget the answers and cant go back so im just telling you how to find the answers your welcome
Step-by-step explanation:
Find the area of triangle abc
What is 6% of 15? Use a fraction to solve
Answer:
0.9
Step-by-step explanation:
can't really Explain, its simple mathamatics 6% of 15 = 0.9
If you multiply a number by 3 and then subtract 5, you will get 40. What is the number?
Answer:
15
Step-by-step explanation:
Solve the problem backwards and it gives you the answer. Hope this helps