Answer:
Well just looking at the choices can lead you to the answer right away.
Well since the probability of boys and girls are equal, its 50/50. And since 125 in half well about is about 60-62 and the minimum amount of girls has to be 70. It can’t be higher then half and the choices remain to less then half not including 50%. So that eliminates all 3 choices except B.
The probability that out of 125 babies born, at least 70 will be girls is 10.5%. So, option B is correct.
What is meant by probability ?Probability is defined as the chance for an event to occur. The value of probability is expressed from zero to one.
Here,
Let X be the number of girls born among the babies.
Let the number of babies born be n = 125
Let the probability of girls being born be P
Since, boys and girls are equally probable, P = 1/2 = 0.5
The probability that at least 70 girls will be born is P(X ≤ 70)
P(X ≤ 70) = P(70) + P(71) + P(72) + P(73) + P(74) +....P(125)
Applying the binomial probability equation,
P(X) = {n!/[X!(n - X)!} Pˣ (1 -P)ⁿ⁻ˣ
So,
P(70) = {125!/[70!(125-70)!]}x 0.5⁷x (1 - 0.5)⁵⁵
We get P(70) = 0.02913
Using cumulative probability function, we get the probability upto X=125.
By adding all the values, we get,
P(70) = 0.1051
Therefore probability that at least 70 girls are born = 0.1051 x 100 = 10.5%
Hence,
The probability that out of 125 babies born, at least 70 will be girls is 10.5%.
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About 7% of the population has a particular genetic mutation. 800 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 800.
Answer:
The standard deviation is of 7.22 people.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have the mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
About 7% of the population has a particular genetic mutation.
This means that [tex]p = 0.07[/tex]
800 people are randomly selected.
This means that [tex]n = 800[/tex]
Find the standard deviation for the number of people with the genetic mutation in such groups of 800.
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{800*0.07*0.93} = 7.22[/tex]
The standard deviation is of 7.22 people.
If bc= 12 and cd is 5 then bd =
Answer:
bd would also equal 5 i love math
Step-by-step explanation:
Answer:
There's no diagram.
I guess You forgot to send.
I'll guess its a quadrilateral.
Draw out a little quadrilateral...eg a rectangle
Label your points.
From the labelling ... Distance BD is now the diagonal of the rectangle.
Using Pythagorean theorem to get it...
BD = √12²+5²
BD=13.
Find the area of following rhombuses. Round your answers to the nearest tenth if necessary.
Answer:
505.4 in²
Step-by-step explanation:
½d2= 19×tan 35° = 19×0.7 = 13.3 in
d2 = 2×13.3 = 26.6 in
d1 = 2×19=38 in
the area of Rhombus =
½×38×26.6 = 505.4 in²
Please help!!!! Anyone!!
9514 1404 393
Answer:
g(x) = |x -7|
Step-by-step explanation:
The form given for your answer has parameters 'a', 'h', and 'k'. The parameter 'a' is the vertical scale factor. Since g(x) is a translation only, that factor is 1. The parameters (h, k) identify the translation (right, up). The translation is 7 units right and 0 units up, so (h, k) = (7, 0).
Filling in these values of the parameters, your g(x) is ...
g(x) = |x -7|
Help me out thanks !!!!!!!!!!
9514 1404 393
Answer:
(b) 93°
Step-by-step explanation:
Assuming the line containing YT is a diameter, the measure of angle UYT is ...
180° -87° = 93° = m∠UYT
Help please asp. !!!
Answer:
16.8 [tex]m^{3}[/tex]
Step-by-step explanation:
Find your answer by using the formula of a cone (v= [tex]\frac{1}{3}[/tex]π[tex]r^{2}[/tex]h)
r= 2 (half of your diameter, which is 4)
h= 4
By inserting your radius and height, you get v= [tex]\frac{1}{3}[/tex]π([tex]2^{2}[/tex])4.
Put that into a calculator and you get 16.75516, which rounds to 16.8.
which of the following is not an appropriate method of proving triangles congruent. A] .asa B].sas C]ssa. D] sss.
which expression represents these words?
8 more than the quotient of 32 and 4
A. (32-4)+8
B. 32÷4-8
C. (32-4)-8
D. 32÷4+8
Answer:
(32 ÷4) +8
Step-by-step explanation:
More than means it comes after
quotient of 32 and 4
32÷ 4
8 more than
(32 ÷4) +8
A rectangular bin, completely filled, holds 1,200 cubic feet of grain. If the bin is 6 feet wide and 10 feet long, how deep is it ?
Answer:
20 feet
Step-by-step explanation:
Volume = length x width x height
1200 = 10 x 6 x h
1200 = 60h
h = 1200/60
height = 20
The rectangular bin is 20 feet deep.
What is a cuboid?A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.
For the given situation,
A rectangular bin is in the shape of a cuboid.
Volume of the rectangular bin,V = 1200 cubic feet
Length of the rectangular bin,l = 10 feet
Width of the rectangular bin,w = 6 feet
Let the height of the rectangular bin be h.
The formula of volume of cuboid is
[tex]V=lwh[/tex]
Now substitute the above values,
⇒ [tex]1200=(10)(6)h[/tex]
⇒ [tex]h=\frac{1200}{60}[/tex]
⇒ [tex]h=20[/tex]
Hence we can conclude that the rectangular bin is 20 feet deep.
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The function f(x) = x2 - 4x + 5 is shown on the graph.
Which statement about the function is true?
1. The domain of the function is all real numbers less
than or equal to - 2.
2. The domain of the function is all real numbers less
than or equal to 9.
3. The range of the function is all real numbers less than
or equal to -2.
4. The range of the function is all real numbers less than
or equal to 9.
Answer:
4. The range of the function is all
real numbers less than or equal to 9.
dennis and christine scored 32 and 23, respectively, in the national career assessment examination
Answer:
[tex]\begin{array}{cccc}{Scores} & {f} & {LB} &{CF} & {39-41} & {6} & {39} &{6} & {36-38} & {7} & {36} &{13}& {33-35} & {9} &{33}&{22}& {30-32} & {13}&{30} &{35} & {27-29} & {22} &{27}&{57} & {24-26} & {10} &{24}&{67} & {21-23} & {9} &{21} &{76}& {18-20} & {7} &{18}&{83}& {15-17} & {8} &{15}&{91}& {12-14} & {4} &{12}&{95}& {9-11} & {2} &{9}&{97}& {6-8} & {1} &{6}& {98}&{3-5} & {1} &{3}&{99} \ \end{array}[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Fill in the blanks
First, we fill in the lower boundary (LB).
This is done by writing out the lower boundary of each class
So, we have:
[tex]\begin{array}{ccc}{Scores} & {f} & {LB} & {39-41} & {6} & {39} & {36-38} & {7} & {36} & {33-35} & {9} &{33}& {30-32} & {13} &{30}& {27-29} & {22} &{27}& {24-26} & {10} &{24}& {21-23} & {9} &{21}& {18-20} & {7} &{18}& {15-17} & {8} &{15}& {12-14} & {4} &{12}& {9-11} & {2} &{9}& {6-8} & {1} &{6}& {3-5} & {1} &{3} \ \end{array}[/tex]
Next, is to fill the CF column
This is done by adding the current with the previous cumulative frequency.
So, we have:
[tex]\begin{array}{cccc}{Scores} & {f} & {LB} &{CF} & {39-41} & {6} & {39} &{6} & {36-38} & {7} & {36} &{6 + 7 = 13}& {33-35} & {9} &{33}&{13+9 = 22}& {30-32} & {13}&{30} &{22+13=35} & {27-29} & {22} &{27}&{35+22=57} & {24-26} & {10} &{24}&{57+10=67} & {21-23} & {9} &{21} &{67+9=76}& {18-20} & {7} &{18}&{76+7=83}& {15-17} & {8} &{15}&{83+8=91}& {12-14} & {4} &{12}&{91+4=95}& {9-11} & {2} &{9}&{95+2=97}& {6-8} & {1} &{6}& {97+1=98}&{3-5} & {1} &{3}&{98+1=99} \ \end{array}[/tex]
Thia is the complete table of filling the values of LB(lower boundaries) and <cf (less than commulative frequency).
Witch number line and expression show how to find the distance from 4 to - 1?
Answer:
I would tell you but you do not have a picture
answer the following questions
1. 2 2/3 divided by 1 1/6.
2. 6 2/3 divided by 2 6/7.
3. 4 1/6 divided by 10.
4. 6 1/2 divided by 3/4.
5. 3 3/4 divided by 5 5/8
Answer:
1. [tex]2 \frac{2}{7} [/tex]
2. [tex]2 \frac{1}{3} [/tex]
3. [tex] \frac{5}{12} [/tex]
4. [tex]8 \frac{2}{3} [/tex]
5. [tex] \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]1. \: \: 2 \frac{2}{3} \div 1 \frac{1}{6} [/tex][tex] \frac{8}{3} \div \frac{7}{6} [/tex]
[tex] \frac{8}{3} \times \frac{6}{7} [/tex]
[tex]8( \frac{2}{7} )[/tex]
[tex] \frac{8 \times 2}{7} [/tex]
[tex] \frac{16}{7} [/tex]
[tex]2 \frac{2}{7} [/tex]
[tex]2. \: \: 6 \frac{2}{3} \div 2 \frac{6}{7} [/tex][tex] \frac{20}{3} \div \frac{20}{7} [/tex]
[tex] \frac{20}{3} \times \frac{7}{20} [/tex]
[tex] \frac{1}{3} \times 7[/tex]
[tex] \frac{7}{3} [/tex]
[tex]2 \frac{1}{3} [/tex]
[tex]3. \: \: 4 \frac{1}{6} \div 10[/tex][tex] \frac{25}{6} \div \frac{10}{1} [/tex]
[tex] \frac{25}{6} \times \frac{1}{10} [/tex]
[tex] \frac{5}{6} \times \frac{1}{2} [/tex]
[tex] \frac{5}{6 \times 2} [/tex]
[tex] \frac{5}{12} [/tex]
[tex]4. \: \: 6 \frac{1}{2} \div \frac{3}{4} [/tex][tex] \frac{13}{2} \div \frac{3}{4} [/tex]
[tex] \frac{13}{2} \times \frac{4}{3} [/tex]
[tex]13( \frac{2}{3} )[/tex]
[tex] \frac{13 \times 2}{3} [/tex]
[tex] \frac{26}{3} [/tex]
[tex]8 \frac{2}{3} [/tex]
[tex]5. \: \: 3 \frac{3}{4} \div 5 \frac{5}{8} [/tex][tex] \frac{15}{4} \div \frac{45}{8} [/tex]
[tex] \frac{15}{4} \times \frac{8}{45} [/tex]
[tex] \frac{1}{4} \times \frac{8}{3} [/tex]
[tex] \frac{2}{3} [/tex]
Hope it is helpful...use the substitution method to solve the system of equations. enter your answer as an ordered pair.AP3X
4(x+4)=8(y+2)
18y-22=3x+2
a.(12,6)
b.(4,2)
c.(8,10)
d.(4,8)
e.(6,1/2)
Answer:
b. x=4 and y= 2
...........
50% of the trees are fruit trees .this means that?
Answer:
Half of the trees are not fruit trees
Answer:
It means that half of the trees are fruits while the other half sprouts vegetables.
Step-by-step explanation:
100% (trees) / 2 (types of trees, in this case, fruits and vegetables) = 50% (fruit trees) : 50% (vegetable trees)
Solve for x. Round to the nearest tenth of
a degree, if necessary.
Answer:
x = 60.6
Step-by-step explanation:
tan x = opp/adj
tan x = 3.9/2.2
x = tan^-1 3.9/2.2
x = 60.6
Find a formula for the described function. An open rectangular box with volume 3 m3 has a square base. Express the surface area SA of the box as a function of the length of a side of the base, x.
Answer:
[tex]SA(x) = x^2 + \frac{12}{x}[/tex]
Step-by-step explanation:
Given
[tex]V = 3m^3[/tex] --- volume
[tex]x \to base\ length[/tex]
[tex]y \to height[/tex]
Required
The surface area as a function of base length
The volume (V) is calculated as:
[tex]V = Base\ Area * Height[/tex]
[tex]V = x*x*y[/tex]
[tex]V = x^2*y[/tex]
Make y the subject
[tex]y = \frac{V}{x^2}[/tex]
Substitute 3 for V
[tex]y = \frac{3}{x^2}[/tex]
The surface area of the open box is:
[tex]SA = x^2 + 2xy+2xy[/tex]
[tex]SA = x^2 + 4xy[/tex]
Substitute: [tex]y = \frac{3}{x^2}[/tex]
[tex]SA = x^2 + 4x*\frac{3}{x^2}[/tex]
[tex]SA = x^2 + 4*\frac{3}{x}[/tex]
[tex]SA = x^2 + \frac{12}{x}[/tex]
Hence, the function is:
[tex]SA(x) = x^2 + \frac{12}{x}[/tex]
Find the value of x.
Answer:
B I think because i did my math
Step-by-step explanation:
Write the equation of the line that passes through the points
Y=2x+5
Answer:
Parallel means that the lines never intersect. If the equation of the new line is y=ax+b , then the system
y=ax+b
y=2x+5
needs to have no solutions. Subtracting the equations gives us
(a−2)x+(b−5)=0
In order for this to ever be 0 we need either a≠2 or b=5 , so to stop this from happening, we will require both a=2 and b≠5 .
Since our line now has the form y=2x+b , and (4,5) is on the line, then the equation
5=2⋅4+b
should be true. Since this implies that b=−3 , we have that the parallel line going through (4,5) has equation
y=2x−3
What is an equation of a line that goes through point (4,-5) and is parallel to y=2x+8?
Which line is parallel to the line y = 2x -4?
What is an equation for a line parallel to y = 5 x -5 and passing through the point (4,19)?
What is an equation for the line that is parallel to y= -4x
Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
x= 55
Step-by-step explanation:
Answer:
x is 55 degrees
Step-by-step explanation:
since it is a right angle set up the equation
20+x+15=90
then solve to get 55
A. John wants to find the average time it takes students to run a lap around the track. He will consider 24 students to find the average time. Which unit(s) could be used for the unit of measurement?
1. Pounds
2. Seconds
3. Ounces
4. Minutes
5. Grams
B. Which of the procedures below would be the best way to find the average time?
1. Ask for 24 volunteers to run a lap around the track and have them state their own times.
2. Measure the times of 24 volunteers who run a lap around the track.
3. Randomly pick 24 students to run a lap around the track and measure their times.
4. Randomly pick 24 students to run a lap around the track and have them state their own times.
Answer:
A) 2. Seconds
4. Minutes
B) 2. Measure the times of 24 volunteers who run a lap around the track.
3. Randomly pick 24 students to run a lap around the track and measure their times.
Step-by-step explanation:
A. The unit(s) that could be used for the unit of measurement are the units used to measure time and the correct answer according to the options given above is seconds and minutes.
B. Which of the procedures below would be the best way to find the average time?
2. Measure the times of 24 volunteers who run a lap around the track.
3. Randomly pick 24 students to run a lap around the track and measure their times.
Question 14
Find the perimeter.
Answer:
below
Step-by-step explanation:
perimeter of a semicircle
½*2πr
=πr
=3.142*3
=9.42 ft
Answer:
A
Step-by-step explanation: 6 5 17 17
the perimeter is a semi-circle PLUS the diameter d = 6 ft
so
C = 2π r semi-circle C/2 = π r r = d/2 = 3 ft
total perimeter is
perimeter = C/2 + d
= π r + d
= 3π + 6
= 3(3.14) + 6
= 15.425 ft
Is this the correct answer?
Answer:
Correct.
Step-by-step explanation:
It looks good to me.
Good job!
How to find the angle ? Help pls
Answer:
I got :
Angle theta = 7.1° (approximately)Step-by-step explanation:
see attached photo
Step-by-step explanation:
The angle of an equilateral triangle is 180°, and its three internal angles are equal, all being 60°.
What is the slope of the line in the graph? Enter answer without spaces
Answer:
-3/4
Step-by-step explanation:
From point (0,3), to get to point (4,0) you would need to go down 3 units, and right 4 units.
Hope this helps
A cheetah can run at a speed of 70 miles per hour. Which representation shows the distance a cheetah can travel
at this rate?
I’ll give brainliest
Answer:
Sorry if this is wrong, but seeing the question I think the best answer following the question would be answer B, because for A it shows that 1 hour is 35 miles when it says 70 miles in 1 hour, not C because as the time rises so does the distance, and I checked D and it's wrong.
Step-by-step explanation:
Write the equation of a line that is perpendicular to y =(1/2)x - 5 and passes through point (-6,2)
Answer:
y=-2x-10
Step-by-step explanation:
Let us start with a general slope-intercept equation, y=mx+b, where m represents the slope, b represents the y-intercept, and the y and x represents the coordinates the line passes through.
Therefore, the slope of our line
[tex]y=\frac{1}{2}x-5[/tex]
is 0.5
We also know that the perpendicular slope is simply the negative reciprocal of the current slope. We know have:
[tex]-\frac{2}{1} =\\-2[/tex]
Now, let us find the y intercept. We can plug in the x and y values using the given coordinate (–6,2).
[tex]y=-2x+b\\2=-2*(-6)+b\\2=12+b\\b=-10[/tex]
Now, we can write our equation:
[tex]y=-2x-10[/tex]
I hope this helps! Let me know if you have any questions :)
How to solve this problem
Step-by-step explanation:
x = 180-106 = 74°
y = x/2 = 74/2 = 37°
4z+6 =106
4z = 100
z = 25°
A pair of dice was rolled many times and the results appear below. Based upon these results, what is the experimental probability of rolling a multiple of 3?
Outcome
2 3 4 5 6 7 8 9 10 11 12
Frequency
3 6 8 11 14 16 15 12 9 5 1 The percent probability is = [ ? ]%
Round to the nearest percent.
Answer:
The exponential probability should be 33%.
Step-by-step explanation:
[tex]4 \div 12 = .33 \\ [/tex]
[tex].33 \times 100 = 33\%[/tex]
The experimental probability of rolling a multiple of 3 will be 33%.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A pair of dice was rolled many times and the results appear below. Based upon these results.
Outcome 2 3 4 5 6 7 8 9 10 11 12
Frequency 3 6 8 11 14 16 15 12 9 5 1
Then the experimental probability of rolling a multiple of 3 will be
Favorable events = 6 + 14 + 12 + 1 = 33
Total events = 100
Then the probability will be
P = (33 / 100) x 100
P = 0.33 x 100
P = 33%
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A company that makes hair-care products had 4,000 people try a new shampoo. Of the people, 32 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer: 0.8
Step-by-step explanation: