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Of the 2440 respondents to a survey. 1050 claimed to be worried about their health. What is the likelihood that a person selected at random will not be worried about their health? Round to two decimal places
OA. 2,562.00%
OB. 42.62%
OC. 43.03%
OD. 56.97%
The probability that a person selected at random will not be worried about their health is given as follows:
D. 56.97%
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
For this problem, we have that out of 2440 people, 2440 - 1050 = 1390 were not worried about their health, hence the probability is obtained as follows:
p = 1390/2440
p = 56.97%.
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Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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Which of the following circles have their centers in the second quadrant A.(x+3)^2+(y-2)^2=8
The circles that have their centers in the second quadrant are; Options B and D
How to identify circle equations?
The general form of equation of a circle is;
( x - h )² + ( y - k )² = r²
where (h, k) is the center and r is the radius.
Thus;
A. (x - 5)² + (y - 6)² = 25
(h, k) = 5,6 This is Quadrant 1
B. (x + 1)² + (y - 7)² = 16
(h, k) = -1,7 This is Quadrant 2
C. (x - 4)² + (y + 3)²= 32
(h, k) = 4,-3 This is Quadrant 4
D. (x + 2)² + (y - 5)² = 9
(h, k) = -2,5
This is Quadrant 2
The missing circle equations are;
A. (x - 5)² + (y - 6)² = 25
B. (x + 1)² + (y - 7)² = 16
C. (x - 4)² + (y + 3)² = 32
D. (x + 2)² + (y - 5)² = 9
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How many units are in a triangle
What is the slope of the following 2 points
(5,1) and (8,3)
Answer:
2/3
Step-by-step explanation:
use point slope formula: \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)to find the slope.
3-1=2
8-5=3
your slope is 2/3
Answer:
2/3
Step-by-step explanation:
The formula for slope is y2 - y1 over x2 - x1.
If we plug our numbers in we get 3-1=2
and.
8-5= 3
so the answer is 2/3.
I don't get it i need help
Answer:
x = 33.5 °
Step-by-step explanation:
The two angle add to a straight 180 degree angle
so
4x+5 + 41 = 180
4x = 134
x = 33.5 °
For each ordered pair, determine whether it is a solution to y = -2.
Is it a solution?
Х
$
?
Yes
No
(-8,-2)
Start over
(5.6)
o
(3.-2)
(-2, 1)
-7 (8s + 9f) if s = -5 and f = -3
Answer:
469
Step-by-step explanation:
Substitute -5 and -3 into the equation:
-7(8 (-5) + 9 (-3)
-7(-40 - 27)
-7(-67)
+469
The students in Mrs. Barnett's first-grade class sit down in a circle for show-and-tell. The circle they form has a diameter of 4 meters. What is the circle's radius?
Answer:
Step-by-step explanation:
If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.
compare 9\10 and 3\2 on number line
Comparing the numerator 9 < 15 thus, 9/10 is less than 3/2.
What is common denominator?A multiple of the denominators of two or more fractions can be used as a common denominator to add, subtract, or compare the fractions. As fractions with dissimilar denominators cannot be added together or directly compared, they must be changed into comparable fractions with the same denominator. We must determine the least common multiple (LCM) of the fraction denominators in order to determine a common denominator. The lowest number that is a multiple of both denominators is known as the LCM. Once we have the common denominator, we may multiply the numerator and denominator by the same factor to change each fraction to an equal fraction with the same denominator.
The two values are 9/10 and 3/2.
Taking the LCM we have:
9/ 10 and 15/10
Now comparing the numerator 9 < 15 thus, 9/10 is less than 3/2.
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On number line we can compare 9/10 and 3/2 as 9/10 < 3/2.
What is number line?
A number line is a visual representation of numbers in order, usually shown horizontally. It is a line with a starting point and an endpoint that represent the smallest and largest numbers, respectively.
To compare 9/10 and 3/2 on a number line, we need to first convert them to the same denominator. The least common multiple of 10 and 2 is 10, so we can convert 3/2 to 15/10:
9/10 = 0.9
3/2 = 15/10 = 1.5
Now, we can plot these two numbers on a number line:
We can see that 9/10 is to the left of 3/2 on the number line.
Therefore we can compare 9/10 and 3/2 as 9/10 < 3/2.
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Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Do you believe Ssoyoung is a bad person for doing things of her culture on camera?
this includes : cleaning animals with salt ( alive )
cooking the animals (alive but then they die )
pouring sauce on the animals ( theyre dead at this point )
and then eating the animals?
personally i see nothing wrong with it, shes korean and doesnt know the laws of america. people have shamed her into excluding the preparing of the food when its perfectly fine in her culture! :(
I dont think its fair that people from another culture are shaming her about hers.
Ssoyoung :
Answer:
She's really pretty, but if that is how she cooks I have no problem with it.
Step-by-step explanation:
I mean it is her life but that's cool that she can do that.
Also, people who are shaming her about her culture need to learn about some of the stuff their culture did because it might have been worse than that also Spicy Chicken McNuggets are awesome.
In my personal opinion, I'm kind of leaning towards both sides. Is doing something of her culture wrong? Not really. But the fact that she takes them out of the water and plays around with them is wrong. Ocean animals need air to live. It's basically torturing them.
Conclusion: Preparing and cooking along Korean culture isn't cruel. But the way she acts, torturing them for the camera, that's just wrong.
The brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1386.4 cm³ be significantly high?
If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.
How to find the lower and upper limits?Mean = 1085.2 cm³
Standard deviation = 125.6 cm³
Hence,
Lower limit = Mean - 2 x Standard deviation
Lower limit =1085.2 - 2 x 125.6
Lower limit =1161.2 - 251.2
Lower limit =910
Upper Limit = Mean + 2 x Standard deviation
Upper Limit = 1161.2 + 2 x 125.6
Upper Limit =1161.2 +251.2
Upper Limit =1412.4
The limit of values is from 910 to 1412.4.
A value below 910 will be is considered low and a value above 1412.4 will be considered high
Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.
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HELP ASAP solve the equation using the properties of equality.
89= -5d+9
Answer:
d = -16
Step-by-step explanation:
Step 1: Write equation
89 = -5d + 9
Step 2: Solve for d
Subtract 9 on both sides: 80 = -5d
Divide both sides by -5: -16 = d
Step 3: Check
Plug in x to verify if it's a solution.
89 = -5(-16) + 9
89 = 80 + 9
89 = 89
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Number of car sold are 98.
Number of trucks sold are 66.
Given,
Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .
Let number of cars sold are x.
Let number of cars sold of y .
Now,
For dealership 1 equation will be,
x + y = 164 ......(1)
For dealership 2 equation will be,
As the cars are sold twice and trucks are sold half .
2x + y/2 = 229......(2)
Solving 1 and 2,
y = 66
x = 98
Thus number of car sold are 98.
Thus number of trucks sold are 66.
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Which of the following measurements could be the side lengths of a right triangle?
A. √108 in, √72 in, √192 in
B. √96 in, √24 in, √120 in
C. √132 in, √24 in, √120 in
D. √168 in, √72 in, √84 in
Answer:
B. √96 in, √24 in, √120 inStep-by-step explanation:
Use Pythagorean to verify:
The square of the two smallest lengths is same as the square of the largest side
A. 108 + 72 = 180 ≠ 192, noB. 96 + 24 = 120, yesC. 132 - 24 = 108 ≠ 120, noD. 168 - 72 = 96 ≠ 84, noCorrect choice is B
Answer:
Option B
Let's verify
P²+B²=H²(√96)²+(√24)²=(√120)²96+24=120Yes verified
evaluate the expreesion 41
Answer:
i'm pretty sure 41 is not an expression
Step-by-step explanation:
What kind of segment is AQ?
Answer:
A. Altitude
Step-by-step explanation:
An altitude is a perpendicular line in a triangle that goes from a vertex to the base of the triangle.
Answer this question
The domain and range for the function shown in the graph above include the following:
D. D: [-∞, ∞]
R: [-10, ∞]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-∞, ∞] or all real numbers.
Range = [-10, ∞] or y ≥ -10
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Find the lateral surface area of the triangular prism.
A)
420 cm?
B)
480 cm?
c)
540 cm
D)
620 cm
Answer:
the correct answer is C. 540cm
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
lateral area =Pb*h
= 48(10)
= 480
which is B
if my answer helps please mark as brainliest.
What is the solution to (x - 3)(x + 1)(x - 2) = 0?
Answer:
B (-infinity-1] U [2,3]
Step-by-step explanation:
Edge
A triangle has vertices T(3, 7), U(6, -6), and V(5, -9).
The image of the triangle has vertices T'(8, 1), U'(-5,
4), and V'(-8, 3).
Which transformations could have produced the
image?
OT(1.-2) ° Ty=x
Ory=x0 T(1, -2)
O Ta. -2) o Ro, 180°
O
O Ro. 180
Ta. -2)
Step-by-step explanation:
y=2x find the value of y and x
▵ ABC is an isosceles triangle, and the coordinates of two vertices are A(-3, 2) and B(1, -2). What are the coordinates of C?
A. (4,3).
B (-1,3)
C (-3,-1)
D (3, 4)
E None of these
none of these
Its a pattern they all have a two at the end
Which of the following expressions is equivalent to the verbal expression 'a less than 6?Select the correct answer below:баO a-6O 6 - a
ANSWER:
a-6
STEP-BY-STEP EXPLANATION:
The equivalent expression would be to subtract 6 from, therefore it would be:
a - 6
find the polynomial with the given zeros
1+ √3 , 1 -√3
y=x²+2√3x+2 is the polynomial with the provided zeros.
What is polynomial?A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
Here,
y=(x+(1+√3))(x-(1-√3))
y=(x+1+√3)(x-1+√3)
y=x²+x+√3x-x-1-√3+√3x+√3+3
y=x²+2√3x+2
The polynomial with the given zeros is y=x²+2√3x+2.
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Help please
Line A , B , C or D ?
See the picture
Answer:
Step-by-step explanation:
Find the value of x. PLEASE HELP! WILL MARK BRAINLIEST!!!
Answer:
24
Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = x-4
h(x) = 3/4x
h(x) = 1/4x
Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
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Graph the linear equation.
Y = x/3 - 4
Need help!!!!
Answer:
slope -1/3 y-intercept (0,4)
Step-by-step explanation:
Answer:
See attached image for the graph
Step-by-step explanation:
Start by finding at least two points on the plane that satisfy the equation, and join them with a line.
Pick good values for "x" that will make the evaluation easy (for example the number "0" and also multiples of "3":
when x = 0 then y = 0/3 - 4 = -4 then the point is (0, -4)
when x = 3 then y = 3/3 -4 = 1 - 4 = -3 then this new point is (3, -3)
when x = 6 then y = 6/3 - 4 = 2 - 4 = -2 then a third point is (6, -2)
We plot these points on the plane, and join them with a line, s shown in the attached image.