Answer:
0.0499
Step-by-step explanation:
This is a binomial probability function expressed as:
[tex]P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\[/tex]
Given that n =8, and p(male)=1-0.6=0.4, the probability of at least 6 being male is calculated as:
[tex]P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 6)=P(X=6)+P(X=7)+P(X=8)\\\\={8\choose 6}0.4^6(0.6)^{2}+{8\choose 7}0.4^7(0.6)^{1}+{8\choose 8}0.4^8(0.6)^{0}\\\\=0.0413+0.0079+0.0007\\\\=0.0499[/tex]
Hence, the probability of at least 6 males is 0.0499
To find the probability of having at least 6 male students in a sample of 8 from a population where 40% are male, you need to calculate the sum of binomial probabilities for 6, 7, and 8 males.
Explanation:In this problem, we are dealing with the subject of binomial probabilities. Given that 40% of the population are male students (100% - 60% = 40%), we need to find the probability that at least 6 out of 8 randomly selected students are male.
This involves calculating the binomial probability for 6, 7, and 8 males, and then adding them together.
The formula for binomial probability is:
P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k))
Where P(X=k) is the probability of k successes in n trialsn is the number of trialsk is the number of successesp is the probability of success on each trialC(n, k) is the binomial coefficient or 'n choose k'Thus, the probability of getting at least 6 males would be calculated as the sum of the probabilities of getting exactly 6, 7, and 8 males. Before doing the calculations, keep in mind that we would use 0.4 for p (probability of picking a male student) and n=8 (the total number of sampled students).
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Three friends—Elaine, Kelly, and Shannon—all start for their college volleyball team. Each plays a different position: setter, middle blocker, and outside hitter. Of the three, one is a freshman*, one a sophomore*, and the other a junior*.From the clues below, determine each woman's position and year in school.1. Elaine is not the setter.2. Kelly has been in school longer than the middle blocker.3. The middle blocker has been in school longer than the outside hitter.4. Either Kelly is the setter or Elaine is the middle blocker.
Answer:
Elaine is the outside hitter in Freshman Year
Kelly is the setter in Junior Year
Shannon is the middle blocker in Sophomore Year
Please mark my answer as brainiest
Elaine is the freshman outside hitter, Kelly is the junior setter, and Shannon is the sophomore middle blocker.
Explanation:Let's analyze the clues one by one:
From clue 1, Elaine cannot be the setter.From clue 2, Kelly has been in school longer than the middle blocker. This means Kelly is either the middle blocker or the outside hitter.From clue 3, the middle blocker has been in school longer than the outside hitter. Combining this with clue 2, we know that Kelly cannot be the middle blocker. Therefore, Kelly must be the outside hitter.From clue 4, either Kelly is the setter or Elaine is the middle blocker. Since Elaine cannot be the setter, Kelly must be the setter. This means Shannon is the middle blocker, leaving Elaine as the only option for the freshman outside hitter.Based on the given clues, we can conclude that:
Elaine is the freshman outside hitter.Kelly is the junior setter.Shannon is the sophomore middle blocker.Learn more about The positions and years in school of three friends on a college volleyball team. here:https://brainly.com/question/14557112
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The lengths of a certain species of beetles are normally distributed with a mean of 1.9 centimeters and a standard deviation of 0.2 centimeters.
What is the z-score of a beetle of this species with a length of 2.38 centimeters?
Answer: the z score is 2.4
Step-by-step explanation:
Since the lengths of the certain species of beetles are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = length of the beetle species.
µ = mean length
σ = standard deviation
From the information given,
µ = 1.9 centimeters
σ = 0.2 centimeters
For a species with a length of 2.38 centimeters, the z score is
z = (2.38 - 1.9)/0.2
z = 0.48/0.2
z = 2.4
Joey is trying to prove that CATS is an isosceles trapezoid. He starts by providing that line segment AT is parallel to line segment CS and that line segment AS is about the same as line segment CT. Based on that information, is this enough to prove that CATS is an isosceles trapezoid
Answer:
Yes the information i.e. AT ║ CS and diagonals AS = CT are sufficient to prove that CATS is an isosceles trapezoid.
CATS is an isosceles trapezoid. (Proved)
Step-by-step explanation:
Yes the information i.e. AT ║ CS and diagonals AS = CT are sufficient to prove that CATS is an isosceles trapezoid.
Proof :
Taking Δ CAT and Δ STA,
(i) CT = AS (Given)
(ii) AT is the common side and
(iii) ∠ ACT = ∠ TSA
{Since AT ║ CS and the angles are obtained from the same base AT}
Therefore, by the criteria Side-Side-Angle i.e. SSA, we can say Δ CAT ≅ Δ STA.
Hence, AC = ST {Corresponding sides}
Therefore, CATS is an isosceles trapezoid. (Proved)
The frequency of a hum that is generated by an engine is 270hz. If t starts at zero, which of the following would best describe this frequency over time?
(Don’t pay attention to the answer chosen)
Answer:
sin ( 2π(270)*t )
Step-by-step explanation:
Solution:-
- The frequency of the hum is denoted as k = 270 Hz.
- The displacement of the hum is modeled by a sinusoidal function.
- The trigonometric modelling of frequency generating systems is given in the following general form:
sin ( w*t ) + c
- Where,
A: The amplitude of displacement e
w: The angular speed of the hum
c : The initial condition of displacement.
- Here, we will assume A = 1 and c = 0. The hum starts from time t = 0 seconds.
- The angular speed is the unit of speed that denotes the number of cycles in radians are undergone by the frequency generator device/person in unti time t.
- The angular speed is given by the following relation:
w = 2πk
w = 2π(270).
- The general model of the hum would be:
sin ( 2π(270)*t )
How do you find the slope-intercept form of a general equation:
The General form of the equation of a straight line is:
3x + 5y − 15 = 0.
Please help as soon as possible.
Answer:
Y=-3/5+3
Step-by-step explanation:
You need to move y’all variables to one side except Y. Then divide them by 5 to get rid of the 5 attached to the Y. So then you have Y=Mx+b.
The sum is two numbers is 65. The difference of the two numbers is 17. Write systems of equations and find two numbers
Answer:
41 and 24
Step-by-step explanation:
x+y=65 -------(A)
x-y=17 -------- (B)
(A)+(B)
(x+y)+(x-y)=65+17
2x=82
x=41
(B)===>
41-y=17
y=41-17
y=24
HELP PLEASE :(
Three-Dimensional Geometry
Geometric Design
1. Kathrine, Giana, and Jackson are designing jewelry boxes to sell at the art fair. The
dimensions of their boxes are:
Kathrine: 5in x 5in x 5in
Giana: 10in X 12in X 2in
Jackson: 10in X 5in x 4in
If a customer at the art fair is wants to buy the jewelry box that will hold the most amount
of jewelry, whose jewelry box should they purchase?
Answer: The customer should buy Giana’s jewelry box.
Step-by-step explanation:
The jewelry boxes are rectangular prisms, in order to find the box that would hold the most amount of jewelry we need to find the volumes of each box.
V= l.w.h
Katherine’s box: 5x5x5= 125
Giana’s box: 10x12x2= 240
Jackson’s box: 10x5x4= 200
The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches.A shaded circle is inside of a larger unshaded circle.What is the probability that a point chosen at random will be in the shaded region
Answer:
The probability that a point chosen at random will be in the shaded region is 0.25
Step-by-step explanation:
We have been given a small shaded circle inside a larger un-shaded circle. This is shown in the image attached below.
The area of smaller circle is 78.5 squares inches and the area of larger circle is 314 square inches. We have to find the probability that a point chosen at random will be in the shaded region.
Probability is defined as the ratio of Favorable outcome to the Total outcomes. In this case the favorable outcome is that the point should be inside the shaded region i.e. in an Area of 78.5 square inches. And the total outcome is that the point can be anywhere inside the larger circle i.e. within an Area of 314 square inches. Thus the probability that a point chosen at random will be inside the shaded region will be:
[tex]Probability = \frac{\text{Favorable Outcome}}{\text{Total Outcome}} \\\\ = \frac{78.5}{314}\\\\=0.25[/tex]
Thus, the the probability that a point chosen at random will be in the shaded region is 0.25. This means there is a 25% chance that a randomly chosen point will be inside the shaded region.
Si Ana diese 10 libros a Alicia, ambas tendrían la misma cantidad de libros. Si Ana tuviera 10 libros más, tendría el doble que Alicia. Calcula cuantos libros tiene cada una.
Answer:
Ana tiene 50 libros y Alicia 30.
What is the equation of the line?
Answer:
y= -4/3x
Step-by-step explanation:
rise over run
up 4, left 3
or
down 4, right 3
Jose has $34 to spend at the Texas State Fair. If the entrance ticket cost $12, then how much money does Jose have to spend on food and games?
Answer: he has 22$
Step-by-step explanation:
34-12=22
Answer:
$22
Step-by-step explanation:
$34 total
$12 for the tickets
34-12=22
Jose has 22 dollars to spend on food and games
Which is the simplified form of the expression (StartFraction (x Superscript negative 3 Baseline) (y squared) Over (x Superscript 4 Baseline) (y superscript 6 Baseline) EndFraction) cubed?
To simplify the expression (x⁻³ × y² / x⁴ × y⁶) cubed, you need to cube each term in the fraction individually.
To simplify (StartFraction (x⁻³) (y²) Over (x⁴) (y⁶) EndFraction) cubed, you need to cube each term in the fraction individually.
Here is the step-by-step breakdown:
Cube the numerator: x⁻⁹y⁶
Cube the denominator: x¹²y¹⁸
Combine the cubed terms: (x⁻⁹y⁶) / (x¹²y¹⁸)
a circle with area 36 pi has a sector with central angle of f 11/6 pi radians
Answer:
33 π
Step-by-step explanation:
Given,
Area of circle = 36 π
Central angle of sector,θ = 11/6 rad
Area of the sector = ?
we know,
A = π r²
36 π = π r²
r = 6
Area of sector
[tex]A = \frac{1}{2} r^2 \theta [/tex]
[tex]A = \frac{1}{2} \times 6^2 \times (\frac{11}{6}\pi)[/tex]
[tex]A = 33\pi \ sqr. units[/tex]
Paul withdrew $17.25 from his savings account every week for 3 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew
(3)(−17.25) = −51.75; he withdrew $51.75
(−3)(17.25) = −51.75; he withdrew $51.75
(3)(17.25) = 51.75; he withdrew $51.75
(−3)(−17.25) = 51.75; he withdrew $51.75
(3)(-17.25)= -51.75
I think thats the right one
Answer:
A
Step-by-step explanation:
I hape that works
Product of 3x - 1 and 4x²-3x+ 8
Answer:
8x squared- 6x+16 is the answer
Find the mid points of a and b where a has coordinates (8,2) and b has coordinates (3.8)
Answer:
(5.5,5)
Step-by-step explanation:
Answer:
The coordinate of the midpoint is (5.5,5)
Step-by-step explanation:
To find the midpoint between two points, find the average of the x coordinates and the midpoint of the y coordinates.
x=(8+3)/2
x=11/2
x=5.5
y=(2+8)/2
y=10/2
y=5
The coordinate of the midpoint is (5.5,5)
Help me please please help
Answer:
80
Step-by-step explanation:
The sides of a triangle always add up to 180. 80+20+?=180
Answer:
C, 80 degrees
Step-by-step explanation:
Together, all of the interior angles in a triangle add up to 180 degrees. Therefore, the missing angle is the two other angles subtracted from 180 degrees. 180-20-80=80 degrees, or answer choice C. Hope this helps!
Please answer as fast as possible :)
Answer:terri
Step-by-step explanation:
I NEED HELP WITH ANGLES!!
A container has peppermint gum and spearmint gum. There are 24 pieces of peppermint gum in the container and the ratio of peppermint gum to spearmint gum is 8 to 5. Find the number of pieces of spearmint gum in the container.
Answer:
15
Step-by-step explanation:
The Number of Spearmint gum are 27 pieces
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
Let the total number of peppermint gum and spearmint gum in the container is X
Ratio of peppermint gum to spearmint gum= 2 : 3.
Total ratio = 2+ 3=5
we are given that peppermint gum are 18 pieces , so total number of gums will be calculated as;
Ratio of peppermint/ Total ratio x Total number of gums = Number of peppermint;
2/5 x X= 18
X=(18X 5) / 2 = 45
X= Total number of gums = 45
Ratio of spearmint/ Total ratio x Total number of gums = Number of spearmint;
3/5 x 45= 27
Therefore Number of Spearmint gum are 27 pieces
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Which of the following functions will have a graph with an axis of symmetry at x=1 and an intercept at the origin?
fx=5x+12-5
fx=x-12-2
©
fx=-x+12+2
fx=4x-12-4
D
fx=-12x-12+2
(03.01 LC)
The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units,
of the other leg of the triangle? (1 point)
C3
C /21
Answer:
The length of the other leg is 4.58 units.
Step-by-step explanation:
A² + B² = C² Use Pythagorean Theorem
2² + B² = 5² Simplify
4 + B² = 25
-4 -4 Subtract 4 from both sides
B² = 21 Take the square root of both sides
B = 4.58 units
If this answer is correct, please make me Brainliest!
Answer:
4.58 units is your answer
Step-by-step explanation:
in class 30 students,13of them are boys what parcentage of the class are girl give your answer to 1 decimal place
Answer:
56.7%
Step-by-step explanation:
First determine the number of girls
30-13 = 17
The fraction of girls is 17/30
Changing this to a decimal is
.566666666
Changing to a percent
56.666666%
To one decimal place
56.7%
Melanie sold half of her comic books and then bought 9 more. She now has 17. How many did she begin with?
Answer:
16
Step-by-step explanation:
You need to work backwards and do the opposite
So, first do subtraction since Melanie added to her collection. SO do the opposite of addition.
17-9=8
Then, since she sold half of her comics, and she is dividing her collect, you multiply 8 with 2.
8 x 2=16
Final answer
16 comics
Vera is an ecologist who studies the change in the bear population of Siberia over time. The relationship between the elapsed time, t, in years, since Vera began studying the population, and the total number of bears, N(t), is modeled by the function:
Answer:
Every year, the bear population shrinks by a factor of 2/3 .Explanation:
The concrete question and the function or data were omitted.
I found the complete question on the internet. Please, find attached the picture with the complete question
You must complete the sentence about the yearly rate of change of the bear population, telling whether it grows or shrinks and by what factor.
Thus, the goal is to interpret the rate of change in an exponential model.
The exponential model is:
[tex]N(t)=2187\cdot \bigg(\dfrac{2}{3}\bigg)^t[/tex]
Let's analyze that function.
When t = 0, (2/3)⁰ = 1 and N(0) = 2,187 × 1 = 2,187
Thus, the population of bears starts with 2,187 individuals.
For t = 1, the population will be N(1) = 2,187 × (2/3).
For t = 2, the population will be N(2) = 2,187 × (2/3)²
And so on, every year the population of bears is multiplied by a factor of 2/3.
Since, 2/3 is less than 1, every year the population will be decreasing (decaying), by a factor of 2/3.
Thus, the answer, i.e. the complete sentence, is:
Every year, the bear population shrinks by a factor of 2/3 .
Answer:
shrinks/ 2/3
Step-by-step explanation:
A farmer has determined that a crop of strwberries yields a yearly profit of $1.50 per square yard. If strawberries are planted on a triangul;ar piece of land whose sides are 50 yards, 75 yards, and 100 yards, how much profit to the nearest hundred dollars, would the farmer expect to make from this piece of land during the next harvest.
Answer:
$2700
Step-by-step explanation:
Using Heron's formula, we can find the area of the triangle to be ...
A = √(s(s -a)(s -b)(s -c)) . . . . where s=(a+b+c)/2 and a, b, c are the sides
Here, we have ...
s = (50 +75 +100)/2 = 225/2 = 112.5
A = √(112.5 · 62.5 · 37.5 · 12.5) ≈ 1815.461 . . . square yards
Then the profit is expected to be ...
(1815.451 yd²)($1.50/yd²) = $2723.19 ≈ $2700
The farmer expects a profit of about $2700 from that crop.
Emma took a taxi from the airport to her house.
She paid a flat fee of $5 plus $3.70 per mile.
The fare came to $42.
For Emma's taxi ride, which equation gives the correct distance (d) in miles
1. Identifique a abscissa e a ordenada dos pontos abaixo.
A(3,-5) abscissa__________ ordenada______________
B(-1,0) abscissa__________ ordenada______________
C(-3,5;-2) abscissa__________ ordenada______________
D(0,-1) abscissa__________ ordenada______________
Answer:
A(3,-5) abscissa:3 ordenada: -5
B(-1,0) abscissa: -1 ordenada: 0
C(-3,5;-2) abscissa: -3.5 ordenada -2
D(0,-1) abscisa: 0 ordenada:- 1
Step-by-step explanation:
What we must take into account is that the abscissa is the value of x and the ordinate is the value of y. There is always a number of the (x,y), that is, the abscissa is the first value and the ordinate is the second value, therefore:
Answer:
We need to identify abscissa and ordenada in each of the pairs given.
For a pair (x, y), x is the abscissa and y is the ordenada.
A (3,-5) abscissa_____3____ ordenada______-5_______
B (-1,0) abscissa____-1____ ordenada_______0_____
C (-3,5;-2) abscissa_____-3.5____ ordenada_____-2______
D (0,-1) abscissa_____0___ ordenada___-1_______
What is the speed of a truck the travel 496km in 6.2 hours
−11b+7=40
solve for b
Answer:
Step-by-step explanation:
subtract 7 on both sides
40-7=33
-11b=33
divide -11 on both sides
b=-3
Answer:
B=-3
Step-by-step explanation:
-11b+7=40
Subtract -7 from both sides
-11b-7=40-7
11b=33
divide by -11
11b/-11=33/-11
-11 and -11 cancel out, leaving you with B=-33/11
thus B=-3