Using the binomial distribution, it is found that there is a 0.9815 = 98.15% probability that at least one of them has been vaccinated.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, the values of the parameters are:
n = 5, p = 0.55
The probability that at least one of them has been vaccinated is given by:
[tex]P(X \leq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.55)^{0}.(0,45)^{5} = 0.0185[/tex]
Then:
[tex]P(X \leq 1) = 1 - P(X = 0) = 1 - 0.0185 = 0.9815[/tex]
0.9815 = 98.15% probability that at least one of them has been vaccinated.
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f(x) = |x – 3| + 6 where is the vertex of the graph
Answer: (3,6)
Rewrite in vertex form and use this form to find the vertex (h,k)
Answer:
(3,6)
Step-by-step explanation:
f(x) = |x| is a V-shaped graph with the vertex at (0,0). It is called a parent graph, because its super basic.
f(x) = |x - 3| + 6
has had two changes made to it. The "- 3" that's in there close to the x slides the graph over to the right 3 units. This is kind of the opposite of what you might think. Minus3 shifts right. (Plus3 would shift left)
The +6 tacked on to the end shifts the whole graph UP 6.
That slides the graph RIGHT3 and UP6. So the vertex lands at (3,6). See image.
In your research study measuring the relationship between time spent playing video games and course grades, you find that grades increase at about the same rate as time spent playing video games decreases. What do you conclude
Research study measuring relationship suggests that video games may have a detrimental effect on an individual's grades.
This study analyzes the correlation between video game usage and academic performance. Scholastic Aptitude Test (SAT) and grade-point average (GPA) scores were used to gauge academic performance. The amount of time a student spends playing video games has a negative correlation with students' GPA and SAT scores. As video game usage increases, GPA and SAT scores decrease.
A chi-squared analysis found a p value for video game usage and GPA was greater than a 95% confidence level (0.005 < p < 0.01). This finding suggests that dependence exists. SAT score and video game usage also returned a p value that was significant (0.01 < p < 0.05). Chi-squared results were not significant when comparing time spent studying and an individual's SAT score. This research suggests that video games may have a detrimental effect on an individual's GPA and possibly on SAT scores. Although these results show statistical dependence, proving cause and effect remains difficult, since SAT scores represent a single test on a given day. The effects of video games maybe be cumulative; however, drawing a conclusion is difficult because SAT scores represent a measure of general knowledge. GPA versus video games is more reliable because both involve a continuous measurement of engaged activity and performance. The connection remains difficult because of the complex nature of student life and academic performance. Also, video game usage may simply be a function of specific personality types and characteristics.
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Question 3 of 10
What else would need to be congruent to show that AABC= AXYZ by ASA?
B
A
C Z
Y
X
Given:
is 8.6 a rational number
Answer:
Yes
Step-by-step explanation:
Yes, 8.6 is a rational number because it can be expressed in the form of p/q
[tex]8.6 = \frac{86}{10} = \frac{43}{5} [/tex]
Evaluate the algebraic expression.
z^2+1+y when y=4, and z=3.
Answer:
your question is
z²+1+y where, y=4,z=3
3²+1+4
9+5
14
is your answer
Can someone please help me with this
Answer:
The last figure.
Answer:
Figure 1, 3 and 6
Point symmetry is when two figures or (equal) parts of a figure lies at a same distance but in opposite direction from a certain point.
Please can someone help asap thank you !x
Answer:
Step-by-step explanation:
Gradient is the slope, the rise over run, change in y over change in x.
For line A
6/3=2
Gradient=2
For Line B
5/5 =1
Gradient =1
Answer:
•The coordinates of line A (0,1) and (1,3)
gradient formula : y2-y1/x2-x1
gradient :
3-1/1-0=2
Actually you can take any other coordinates for reference!
example :
the other coordinates of line A (0,1) and (2,5)
=5-1/2-0
=2 (same)
•The coordinates of line B (3,2) and (4,1)
Gradient : =1-2/4-3
=-1
or
the coordinat B =(7,-2) and (-2,7)
=7-(-2)/-2-7
=9/-9
=-1
Note:The line to the right has a positive gradient, and the line to the left has a negative gradient
HELP DUE TODAY WORTH 87 POINTS
1. Moving at constant, you are at equilibrium and the restorative force of the scale balances your weight. So the scale exerts a force of 490 N and reads 50.0 kg.
2. The elevator is now moving up and slowing down, so its acceleration is pointing opposite the direction of motion, and Newton's second law says the net force is
F - 490 N = (50.0 kg) (-4.9 m/s²)
where F is the magnitude of the force due to the scale. Solve for F to get
F = 490 N - (50.0 kg) (4.9 m/s²) = 245 N
and the scale would read (245 N)/g = 25 kg. This should make sense; your inertia will cause your body to "want" to continue moving up at the same speed while the elevator slows down, and this relieves some of the upward force needed to keep your body moving with the elevator.
3. With the elevator in free fall, Newton's second law gives
F - 490 N = (50.0 kg) (-9.8 m/s²) ⇒ F = 0 N
and the scale would read 0 kg. Now you're falling with the elevator; the scale doesn't have to counteract your weight anymore.
which shows the correct substitution of the values a, b, and c Dr the equation 0=-3x^2-2x+6 into the quadratic formula? Quadratic formula: x= -b±√b^2-4ac/2a
Answer: Option 1
Step-by-step explanation:
Here, a = -3, b = -2, c = 6.
Which table represents a linear function?
Answer:
1st one.
Step-by-step explanation:
Explain some acceptable reasons for proofs?
Geometric proofs are a list of Statements and Reasons used to prove that a given mathematical concept or idea is true. Statements are claims about a geometric problem that cannot be proven true until backed by a mathematical Reason. Reasons are pieces of evidence that support a Statement.
A four line classified ad costs 25 for a week. Each additional line costs 2. What is the weekly cost for a 12 line ad
Answer: 41
Step-by-step explanation:
If each line costs 2, then for the four-line ad, the cost is the initial price plus 4(2), meaning the initial cost is 25-8=17.
Thus, the cost of a 12-line ad is 17+2(12)=41
In ABC, CT is a median. What is the measure of AB?
Fill in the blank by enter in just a number for your answer.
Answer:
AB = 102
Step-by-step explanation:
the median CT bisects the side AB at T , then
BT = AT , that is
7x + 9 = 5x + 21 ( subtract 5x from both sides )
2x + 9 = 21 ( subtract 9 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
then
AB = 5x + 21 + 7x + 9 = 12x + 30 = 12(6) + 30 = 72 + 30 = 102
The measure of AB is 102.
How to estimate the measure of AB?
The median CT bisects the side AB at T, then
BT = AT
7x + 9 = 5x + 21
subtracting 5x from both sides of the equation, we get
2x + 9 = 21
subtract 9 from both sides, and we get
2x = 12
Divide both sides by 2, we get
x = 6
then, AB = 5x + 21 + 7x + 9
AB = 12x + 30
Substituting the value of x,
12x + 30 = 12(6) + 30
= 72 + 30
AB = 102
Therefore, the measure of AB is 102.
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3. Find x 75° (4x 25)°
If two lines intersect, then their opposite angles are equal. Then the value of x is 25°.
The missing graph is given below.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Then the value of x will be
75° = (4x - 25)°
100° = 4x
x = 25°
Then the value of x is 25°.
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Please help! The formula for the volume of a cylinder is:
Answer:
A
Step-by-step explanation:
isolate r by dividing by πh. take the square root on both sides to get rid of the r^2 to make it just r
Answer:
r =sqrt(V/ ( pi h) )
Step-by-step explanation:
V = pi r^2 h
We want to solve for r
Divide each side by pi h
V/ ( pi h) = pi r^2 h/ ( pi h)
V/ ( pi h) = r^2
Now take the square root of each side
sqrt(V/ ( pi h) )= sqrt( r^2)
sqrt(V/ ( pi h) )=r
Question 3 of 10
Which choice represents the simplified exponential expression?
(12-4)8
OA. 12-32
B. 12-12
O C. 12
OD. 124
The correct value that equates to this expression is 12‐³². Letter A
.
To solve this expression, just: eliminate the parentheses and multiply the exponents among themselves;[tex] \boxed{ \large \sf (a {}^{n} ) {}^{m} \rightarrow a {}^{n \times m} } \\ \\ [/tex]
Resolution[tex]{ = \large \sf (12{}^{-4} ) {}^{8} } [/tex]
[tex]{ = \large \sf 12{}^{-4 \times 8} } [/tex]
[tex] \pink{ \boxed{ = \large \sf 12{}^{-32} } } \\ [/tex]
Therefore, the answer will be 12‐³²
The equation y = 180 + 5x represents the amount a school club will pay a T-shirt company for custom T-shirts, where x represents the number of T-shirts purchased and y represents the total cost in dollars. The equation y = 10x represents the club’s income from selling the T-shirts, where y represents the money earned in dollars and x represents the number of T-shirts sold. Assuming that the club members sell all the T-shirts they purchase, when will the club make a profit? The following graph represents this situation:
Answer:
36 TSHIRTS is the number for minimum profit
Step-by-step explanation:
Y = Y
180 + 5X = 10X
180 = 10X - 5X
180 = 5X
X = 180/5
X = 36
Describe the varying vegetation regions in Canada
Answer:
es fácil solo tienes que Aser 23+578 y hay te da el resultado
Are survival rates independent of gender within similar passenger classes ?
Answer:
yes
Step-by-step explanation:
Women had a much higher chance of survival — regardless of what class they were in — then men did. Of the 466 women on board, 339 survived. Of the 843 men on board, only 161 survived — a measly 19% compared to the 73% of women who made it safely back to shore.
Evaluate the expression (8×6) +(8-3)
Answer:
(8×6)+8-3
48+8-3
53
Step-by-step explanation:
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Which graph shows h(x) = f(x)g(x)
The attached graph represents the function h(x), where h(x) = f(x)g(x)
Complete questionConsider the functions f(x) = x - 6 and g(x) = x + 6. Which graph shows h(x) = f(x)g(x)?
How to determine the graph of h(x)?We have
f(x) = x - 6
g(x) = x + 6
The equation h(x) = f(x)g(x) means
h(x) = f(x) * g(x)
So, we have:
h(x) = (x - 6) * (x + 6)
Expand
h(x) = x² - 36
See attachment for the graph of function h(x)
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Answer:
A on edg. 2020
Step-by-step explanation:
Which graph shows h(x) = f(x)/g(x)
If 4y = 3x - 1, then x = ?
Answer:
[tex]x = \frac{4y + 1}{3} [/tex]
The goal is to isolate the X value. So the first step would be to add 1 to both sides, making the equation 4y + 1 = 3x.
Then you divide both sides by 3, making the equation (4y + 1)/3 = x
If you have a Y value then you'd plug it in for Y and solve for x but since there isn't one provided you're done.
helppppppppp markingbrainliest
a)
x×3+4=22
b)
x×3+4=22
x×3=22-4
x×3=18
x=18÷3
x=6
Hope it helps
Answer:
x=6
Step-by-step explanation:
your equation would be X * 3 + 4 = 22
to solve you subtract four from both sides then divide three by both sides because you do the opposite of the sign thats there and you get x= 6! i hope this helped
This is my final please help
Thw measurements based on the arrow on the rulers will be:
A= 1.3cm
B = 2.1 cm
C = 3.4cm
D = 4.4cm
E = 5.5cm
F = 7cm
G = 8.2cm
H = 10.3cm
I = 11cm
J = 11.7cm
K = 12.7cm
L = 14.7cm
How to depict the measurement?It should be noted that 10 millimeters make 1 cm. Therefore, to convert the centimeters to millimeters, you simply have to multiply by 10.
A = 1.3cm × 10 = 13mm
B = 2.1cm = 21mm
C = 3.4 × 10 = 34m
Using same method, the value of the remaining will be:
D = 44mm
E = 55mm
F = 70mm
G = 82mm
H = 103mm
I = 110mm
J = 117mm
K = 127mm
L = 147mm
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A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Tariq designed the pool shown. The owner of the pool has one square cover to use. Find the area of the space that needs to be covered. (The four corners are squares.)
The area that needs to be covered is
ft2.
Answer:
132ft^2
Step-by-step explanation:
Question 7
points 2
ps
sunshine house cleaners mops 1/5 square feet every 2/3 minute. what is their speed in terms of square feet
tio
per minute?
Their speed in terms of square feet per minute is 3/10 square feet per minute.
We know that the speed formula is the rate at which an object travels a given distance. Speed is defined as the distance traveled by a body in a given amount of time. Speed in the SI is measured in m/s.
Given that the distance = 1/5 square feet.
The time = 2/3 minute.
Speed = distance/time = (1/5)/(2/3) = (1/5)*(3/2) = 3/10
Therefore, we can conclude that their speed in terms of square feet per minute is 3/10 square feet per minute.
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Solve the following equations. 2x - y = 8 3x + y = 17
System of equations:
2x - y = 8
3x + y = 17
Solve for x:2x - y = 8
3x + y = 17
________ +
5x = 25
x = 5
Plug in x to one of the equations to solve for Y2(5) - y = 8
10 - y = 8
-y = -2
y = 2
Peter's father told Peter to buy four-tenths of a pound of chili powder. Each package is marked with its weight. What package should Peter buy?
Peter should buy 0.4 pound weight package
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct," "pct," and occasionally "pc" are also used, the percent sign, " percent ", is frequently used to signify it. A % is a number without dimensions and without a measurement system.
Given Peter's father told Peter to buy four-tenths of a pound of chili powder and Each package is marked with its weight.
We have to find which weight package should Peter buy
The four-tenths of a pound will be 40 % of one pound which is 0.4 pound. So peter should buy 0.4 pound weight package.
Hence Peter should buy 0.4 pound weight package
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The lines shown below are perpendicular. If the green line has a slope of
1/7 what is the slope of the red line?
A.7
B.1/7
C.-7
D. -1/7
Answer:
c: -7
Step-by-step explanation:
the slope of a perpendicular line is the negative reciprocal of the original line
a way to find this is to flip the numerator and the denominator of a slope and make it negative
1/7 --> 7 --> -7
that would be your slope
How many real solutions does the system of equations have? y = x2 + x − 2 y = -x + 1
The number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).
What are the solutions of the equations?The equations are given below.
y = x² + x − 2 ...1
y = – x + 1 ...2
From equations 1 and 2, we have
x² + x − 2 = – x + 1
x² + 2x − 3 = 0
Then the factor of the equation will be
x² + 3x – x − 3 = 0
(x + 3)(x – 1) = 0
x = 1, –3
Then the value of y will be
At x = 1, we have
y = -1 + 1
y = 0
At x = -3, we have
y = -(-3) + 1
y = 4
Then the number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).
The graph is given below.
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