The formula for the variance of the binomial distribution is o = √npq
Equating the value is the equation
o = √npq,
[tex]o = \sqrt{80\times1\times\0.4}[/tex]
o = 5.6568
What is binomial distribution?
The binomial distribution is defined as the number of trials or observations when each trial has the same probability of reaching a certain value. The binomial distribution determines the probability of observing a certain number of successful outcomes for a given number of trials.
The binomial distribution model allows us to calculate the probability of observing a certain number of "successes" if a process is repeated a certain number of times (eg, in a patient population) and the result for a given patient is either successful. or failure.
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there are 60 seventh graders in the school. This make up 15% of the student in the school. How many students are in the school,total?
60 seventh graders make up 15% of the students in the school.
The procedure to solve this problem will be to first, divide 60 by 15 to find how much people make up 1%, and then multiply that number of people by 100% to find the total of students.
Step 1. Divide 60 people by 15% to find how many people are 1% of the students:
[tex]\frac{60}{15}=4[/tex]4 students are 1% of the total students.
Step 2. Now, we multiply the number we just find in step 1 by 100% to find the total amount of students in the school:
[tex]4\times100=400[/tex]There are 400 students in the school.
Answer: 400
What is a unit rate?
we have that
A unit rate is a ratio between two numbers, where the second quantity is one unit
Example
5/1 m/sec is the same that 5 m/sec
that means
speed is 5 meters per one second
2 example
$6 per oz
that means -----> the cost is $6 per one ounce
Given the speeds of each runner below, determine who runs the fastest.
Ron runs 12 feet per second.
Brooke runs 329 feet in 24 seconds.
Jessica runs 1 mile in 591 seconds.
Tony runs 645 feet in 1 minute.
Answer:
Brooke with 13 ft/sec
Step-by-step explanation:
Ron is (12 ft/second)
To figure out Brooke we have to divide 329 by 24 to figure out her feet per second.
329/24 = 13.7083 so already is ahead of Ron.
To figure out Jessica we must first figure out the length of a mile in feet to keep the feet per second denominator going.
1 mile= 5280 ft
so now we divide
5280/591 = 8.9340
So Jessica is not the fastest so Brooke still stands number 1.
For Tony we divide 645 by the number of seconds in one minute
there are 60 seconds in a minute so
645/60= 10.75
So the fastest is brooke.
Ron = 12 ft/sec
Brooke = 13 ft / sec
Jessica = 8 ft / sec
Tony = 10 ft/ sec
Given that angle ABC and EBF form a right angle, if measurement of ABC = 30° and EBF
= 6x° what is the value of x?
We know that ABC and EBF are complementary, or add up to 90°. So:
ABC + EBF = 90°
ABC = 30°
EBF = 6x°
6x° + 30° = 90°
6x° + 30 - 30 = 90 - 30
6x° = 60°
6x°/6 = 60°/6
x° = 10°
Solve please will give points
Answer:
rectangle: 20x10=200
Triangle: (11x6)/2=33
200+33=233
233=total area
Step-by-step explanation:
Im asian so...trust me
2. How many minutes are in a decade?
60 min 1 hour; 24 hours = 1 day ; 7 days = 1 week
52 weeks = 1 year; 10 years = 1 decade
Answer:
525600
Step-by-step explanation:
not gonna lie I looked this up thxs for the points and good luck
help me slove for x pleaae and thank yu
SOLUTION
Triangle FGH is similar to triangle ABC
Therefore the ratio of their corresponding sides will be equal.
That is
[tex]\begin{gathered} \frac{FG}{BA}=\frac{GH}{BC}\text{ = }\frac{FH}{CA} \\ \\ So\text{ let's take just these sides ratios } \\ \frac{GH}{BC}\text{ = }\frac{FH}{CA} \\ \\ \frac{7}{14}=\frac{6}{x} \\ \text{cross multiply } \\ 7x\text{ = 6x14} \\ x\text{ }=\text{ }\frac{84}{7} \\ x\text{ = 12} \end{gathered}[/tex]Therefore, x = 12
The equation y=4.9x represents a proportional relationship. what is the constant proportionately?
Each day, Stu's probability of being on time to work is 0.1. Each day is independent of the other days. What is the probability that Stu will be on time this week on Monday, Tuesday, and Wednesday?
Answer:
.001 or 1/1000
Step-by-step explanation:
Comment
The idea behind this question is like flipping a coin and getting either heads or tails. The probability does not depend on a previous through if the coin is an honest coin.
So if you toss the coin 3 times, and you want to get all three tosses to be heads, there are 8 ways that you can throw 3 coins. Only 1 of the eight will give three heads, so the answer is 1/8.
This is the same kind of problem. He goes to work on 3 days, each day doesn't depend on what happened on any other day.
Probability(3 days on time) = 0.1 * 0.1 * 0,1 = 0.001 or 1/1000
Solve quadratic equations -x^2 +3x < 3
The given quadratic inequation,
[tex]-x^2+3x<3[/tex]Subtract 3 on both sides,
[tex]\begin{gathered} -x^2+3x-3<3-3 \\ -x^2+3x-3<0 \end{gathered}[/tex]Multiply both sides by -1 that results in a change of symbol of the inequality,
[tex]\begin{gathered} (-1)\cdot(-x^2+3x-3)>(-1)\cdot0 \\ x^2-3x+3>0 \end{gathered}[/tex]Use the method of completing squares,
[tex]\begin{gathered} (x)^2-2(x)(\frac{3}{2})+(\frac{3}{2})^2-(\frac{3}{2})^2+3>0 \\ (x-\frac{3}{2})^2-\frac{9}{4}+3>0 \\ (x-\frac{3}{2})^2+\frac{3}{4}>0 \\ (x-\frac{3}{2})^2^{}>-\frac{3}{4} \end{gathered}[/tex]Consider that the square of any real number is always positive, and hence greater than a negative number.
So we can observe that the result obtained above is valid for all real number values of 'x'.
Thus, the solution of the given inequality is the set of all real numbers,
[tex]x=(-\infty,\infty)[/tex]help meeeeeeeeeeeeeeeeeeeeeee
thank you
Answer:
a) 1835 feet.
b) 1323 feet.
Step-by-step explanation:
Substitute each value of t into the equation to find the height at that particular time.
When t = 2, P(t) = -16(2)^2 + 1899 ⇒ P(t) = -64 + 1899 ⇒ P(t) = 1835.
When t = 6, P(t) = -16(6)^2 + 1899 ⇒ P(t) = -576 + 1899 ⇒ P(t) = 1323.
Find the standard form of the equation of the circle having the following properties:
Center at the origin
Containing the point (-3,8)
Answer: x^2 + y^2 = 73
Step-by-step explanation:
H, K would be the center
R would be the radius
H, K= 0,0
(x-0)^2 + (y-0)^2= r^2
x^2 + y^2= r ^2
To Find Radius, you find distance between Origin, and Point
[tex]D=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]
X2, Y2= (-3, 8)
X1, Y1= (0,0)
[tex]D= \sqrt{((-3)-(0))^{2} + ((8-0))^2} \\D= \sqrt{(-3)^2 + (8)^2} \\D= \sqrt{9+ 64} \\D=\sqrt{73} \\D= 6\sqrt{2}[/tex]
R= 6[tex]\sqrt{2}[/tex]
x^2+y^2= (6[tex]\sqrt{2}[/tex])
or x^2+y^2= 73
Help llllllllllliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
Help with what? I do not see your question But it says there's something attached
Step-by-step explanation:
Is n = 6 a solution of the equation 3n + 5 = 22?
Given the equation
[tex]3n+5=22[/tex]n=6 will be a solution of the equation if when n=6 the result is equal to 22.
Therefore:
[tex]\begin{gathered} 3(6)+5 \\ 18+5=23 \end{gathered}[/tex]Answer: Since the result when n=6 is 23 and not 22 , n=6 is not solution of the equation.
Solve this system by substitution: y = 5x - 15 y = 2x - 6 Remember to write your answer as a coordinate point (x,y)
Given the following System of equations:
[tex]\begin{cases}y=5x-15 \\ y=2x-6\end{cases}[/tex]You can use the Substitution method to solve it, as following:
1. Solve for "x" from the first equation:
[tex]\begin{gathered} y=5x-15 \\ y+15=5x \\ \\ x=\frac{y+15}{5} \end{gathered}[/tex]2. Now you must substitute this equation into the second original equation:
[tex]\begin{gathered} y=2(\frac{y+15}{5})-6 \\ \end{gathered}[/tex]3. Solve for "y":
[tex]\begin{gathered} y=\frac{2y+30}{5}-6 \\ \\ y+6=\frac{2y+30}{5} \\ \\ (5)(y+6)=2y+30 \\ 5y+30=2y+30 \\ 3y-2y=30-30 \\ y=0 \end{gathered}[/tex]4. Knowing the value of "y"; you can substitute it into this equation:
[tex]x=\frac{y+15}{5}[/tex]Then:
[tex]x=\frac{(0)+15}{5}[/tex]5. Evaluating, you get that the value of "x" is:
[tex]\begin{gathered} x=\frac{15}{5} \\ \\ x=3 \end{gathered}[/tex]Then, the answer is:
[tex](3,0)[/tex]Solve for w.
2w²-7w=4
Answer:
w = 4
w = -1/2
Step-by-step explanation:
so first of all this looks like a quadratic equation . I say this because you can subtract 4 to get 0 on one side . so you will have 2w²-2w-4=0.
to solve quadratic equations you need to use the quadratic formula . keep in mind you can only use the quadratic formula when your own quadratic equation is set set equal to 0. quadratic formula is equal to:
x= (-b±sqrt(b²-4ac))÷2a
now because this is a quadratic you can identify the values x, b, a, and c. we know that if it is a quadratic equation then the equation will be ax²+ BX + C. this is the basic formula for a quadratic equation so your values will be a equals 2 and B = -7 and C equals -4 and W equals X .
now because we know these values we can substitute it into the quadratic formula that i mentioned earlier .
x=(-(-7) ± sqrt( (-7)²-(4×2×(-4)) ) ) ÷ (2×2)
when you're simplify this you get
x= (7±sqrt(49+32))÷4
x= 7±sqrt(81) ÷ 4
x= (7±9)÷4
for quadratics it's normal that the x value is going to be two different values so don't panic at that !
the first x value
x= (7+9)÷4
= 16÷4
=4
the second x value
x= (7-9)÷4
=(-2)÷4
=-1/2
now remember that we said W equals X so the value of w will be 4 or -1/2 .
HELP PEOPLE PLEASE PLEASE PLEASE BRAINIEST IF RIGHT ONLY IF RIGHT DO NOT, I REPEAT DO NOT ANSWER IF YOU DONT KNOW OK THANK YOU HURRY! BTW DUE TODAY PLEASE PLEASE PLEASE PLEASE
Determine which set of side measurements could be used to form a right triangle.
square root of 2, square root of 3, 5
square root of 2, 3, square root of 11
7, 9, 11
5, 10, 14
Answer:
Option 2
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem.
cuál es la suma de 2.56+4.83
In order to find the result of 2.56 + 4.83, proceed as follow:
2. 5 6
+ 4. 8 3
7. 3 9
Hence, the result id 7.39
PLEASE HURRY IM BEGGING
An astronomical unit is about 92,955,807 miles. Use a single digit times a power of ten to estimate this value to the nearest ten million miles.
9 10 million miles or [tex]9*10^7[/tex] miles is the estimated value of an astronomical unit to the nearest ten million miles.
Given that:-
1 astronomical unit = 92,955,807 miles
We have to estimate its value to the nearest ten million miles.
We know that,
10 million miles = 10,000,000 miles
Hence,
1 mile = (10/10000000) million miles
92955807 miles = 929558070/10000000 million miles
92955807 miles = 92.955807 million miles
For 10 million miles, we can write,
92955807 miles = 9.2955807 10 million miles
We can estimate 9.2955807 10 million miles to 9 10 million miles
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A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.1 MB. Yesterday, the high-quality version was downloaded three times as often as the standard version. The total size downloaded for the two versions was 3796 MB. How many downloads of the standard version were there?
The number of downloads of the standard version is 949.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Two versions of a song.
S = Standard version size = 2.3 MB
H = High-quality size = 4.1 MB
Hgh quality size = 3 x Standard quality size
H = 3 x S
H = 3S ____(1)
The total size downloaded for the two versions was 3796 MB.
This can be written as:
H + S = 3796 ______(2)
From (1) and (2) we get,
3S + S = 3796
4S = 3796
S = 3796/4
S = 949
Now,
From (1),
H = 3S = 3 x 949 = 2847
The number of downloads of the standard version is 949
The number of downloads of the High-quality version is 2847
Thus,
The number of downloads of the standard version is 949.
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A three-dimensional figure has the following properties:* It has a circular base.* It has a second, circular base parallel to the first, with a round smooth face between them.What kind of solid is it?sphererectangular prismconecylinder
With the information provided we will have that the solid is:
*A Cylinder.
Is DF an angle bisector of HDJ shown below? Justify your answer by using your protractor to measure angles. Mark all relevant angles on the diagram.
After using the protractor we have come to find that DF is not an angle bisector of ∠HDJ. ∠JDF measures 27° and ∠FDH measures 22°.
What is an angle bisector?An angle bisector is a ray, segment, or line that splits an angle into two equal-sized angles. A thing is divided into two equal parts when it is bisectored or bisectioned. In geometry, we frequently use a line or ray—known as an angle bisector—to divide a triangle and an angle.
The ray, line, or segment that divides an angle into two equal parts is known as the angle bisector in geometry. A 60-degree angle, for instance, will be split into two angles of 30 degrees each by an angle bisector. To put it another way, it separates an angle into two smaller congruent angles. An example of an angle bisector of AOB is shown below.
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graph g(t) = 4 sin t +2
Here we have to find the graph for the function:
g(t) = 4 sin t + 2
Function:
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
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(b) You need to raise a total of $600 for your trip. There are 10 days before you leave. You estimate that youwill be able to sell 15 cans of soda per day. How much should you charge for each can?Set up the problem:Ix 1Answer:$per can
The Solution:
To raise a total $600 in 10 days with an estimate of selling 15 cans of soda per day.
To find the amount you should charge for each can is:
[tex]\frac{\text{ \$600}}{\text{ 10 days}}\times\frac{\text{ 1 day}}{\text{ 15 cans per day}}=\frac{600}{150}=\text{ \$4}[/tex]Therefore, the correct answer is $4 for each can of soda.
I need help i need to know what numbers go in this to equal 50
So here we have different options
[tex]\begin{gathered} 1\times8 \\ 2\times4 \\ 4\times2 \\ 8\times1 \end{gathered}[/tex]If cost of 15 eggs is ? 75, then find out the cost of 4 frozen eggs
Problem:
If the cost of 15 eggs is $75, then find out the cost of 4 eggs?
Solution:
If the cost of 15 eggs is $75, then each egg cost:
[tex]\frac{\text{\$75}}{15}=\text{ \$5 for each egg}[/tex]thus, 4 eggs cost :
$5 x 4 = $20
then, the correct answer is $20
Will you help me find the Exact value of sec pi/3 and help me under stand how to
To find the exact value of sec π/3, use a sp cial triangle with an angle
π/3 radians=60º.
Consider an equilateral triangle with each side length of 1 unit.
Recall that each angle in an equilateral triangle is 60º.
Draw the altitude of the triangle. Note that the altitude of an equilateral triangle is an angle bisector of the vertical angle and also a perpendicular bisector of its base:
Recall that the Secant Ratio in a right triangle is given as:
[tex]\sec\theta=\frac{\text{ Hypotenuse}}{\text{ Adjacent}}[/tex]Substitute θ=60º, hypotenuse=1, and adjacent=1/2 into the equation:
[tex]\begin{gathered} \sec60^{\circ}=\frac{1}{\frac{1}{2}}=\frac{2}{1}=2 \\ \Rightarrow\sec60^{\circ}=2 \\ \Rightarrow\sec\frac{\pi}{3}=2 \end{gathered}[/tex]The exact value of sec π/3 is 2.
Determine whether the triangles are simiar by AA-, SSS-, SAS-, or not similar. If the triangles are similar, write a valid similarity statement.
SAS property, both triangles are similar.
Define SAS postulate.The two triangles are congruent if we can demonstrate that two sides and the included angle of one triangle are congruent with two sides and the included angle of another triangle. The Side Angle Side Postulate, or SAS, is what this states. The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle. According to the SAS postulate, two sides and one angle (between the sides) of one triangle must be identical to two sides and one angle of another for two triangles to be considered congruent.
Given,
To prove triangles are similar,
ST = VW
∠STU = ∠ UVW (GIVEN)
SU = UW
By SAS property, both triangles are similar.
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If a die is rolled one time, find these probabilities
c) Getting a number greater than 3 and an even number.
P(a number greater than 3 and an even number
4/6 = 2/3
The probability of receiving a number greater than 3 and an even number is 2/3.
What is probability?The likelihood or chance that an event will occur is referred to as probability.When we are uncertain about the outcome of an event, we can discuss the probabilities of various outcomes—how likely they are. Statistics is the study of events governed by probability.P(E) = (Number of positive outcomes) / (Sample space)
Here,
When a die is rolled once, the sample space is
S = {1, 2, 3, 4, 5, 6}. The total score is 6.
The events will be E ={ 4, 5, 6, 2}
if a number greater than 3 and an even number are rolled. The expected result is 4.
The likelihood of receiving a number greater than 3 and an even number is 4/6 = 2/3
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