The probability that a household in Maryland has an annual income of 100000 or more is 0.2373
Given Data;
Maryland had the greatest mean yearly household income of any state, according to Money magazine (time website). Consider a normal distribution with a mean of 75847 and a standard deviation of 33800 for the annual household income in Maryland.
Population Mean (μ) = 75847
Population Standard Deviation (σ) = 33800
'X' follows a normal distribution with a population mean and population standard deviation.
Here,
X ~ N ( μ = 75847 ,σ = 33800 )
Z =(X - μ)/σ
To get the probability that a household in Maryland has an annual income of 100000 or more.
Now, we have to compute P (X > 100000)
P (X > 100000) = 1 - P( (X-μ)/σ < (100000-75847)/33800 )
= 1 - p(z < 0.715 )
= 1 - 0.7627
= 0.2373
The required probability is 0.2373
To learn more about probability click here:
brainly.com/question/11234923
#SPJ4
rearrange the formula below to make 'a' the new subject:
[tex]c + \frac{1}{2}a^{2}b = d[/tex]
is the bottom answer correct for this question? :
[tex]a = \sqrt{2(\frac{d-c}{b} )}[/tex]
Step-by-step explanation:
c + 1/2 × a²b = d | - c on both sides
1/2 × a²b = d - c | ×2 on both sides
a²b = 2(d - c) | /b on both sides
a² = (2/b) × (d - c) | sqrt on both sides
a = sqrt(2(d - c)/b)
yes, the given answer is correct.
Can somebody please answer these 3 questions please and thank you
[tex]\displaystyle \boxed{\text{First Attachment, 14}}[/tex]
Answer:
x = 30
y = 60
Step-by-step explanation:
First, vertical angles are congruent. This helps us fill in more of the angles so we can find x and y.
Next, supplementary angles add up to 180°, aka a line. We can use this to fill out even more of the diagram given.
Lastly, corresponding angles on parallel lines are congruent.
By using the information above, we can decide that x = 30 and y = 60. See the first attachment for all the angle values filled out.
[tex]\displaystyle \boxed{\text{Second Attachment, 12}}[/tex]
Answer:
x = 65
Step-by-step explanation:
From the above explanation, we will be using vertical angles and supplementary angles to solve this question. See the second attachment.
We also know there are 180 degrees in a triangle.
Lastly, we know that alternate interior angles are congruent.
Using this knowledge, we can decide that x = 65.
[tex]\displaystyle \boxed{\text{Third Attachment, 13}}[/tex]
Answer:
x = 30
Step-by-step explanation:
Again, we will be using vertical angles, supplementary angles, and corresponding angles to solve this question. See the third attachment.
After placing vertical angles down from the given information, we can fill in more using corresponding angles.
Lastly, we know there are 360 degrees in a circle. We can create an equation from this and solve.
Using this information, we can decide that x = 30.
Please Help!
Solve for x:
-18x = 108
Show your work
Answer:
x=-6
Step-by-step explanation:
-18x=108
/-18. /-18
x=-6
Hopes this helps please mark brainliest
Divide both sides by −18.
x = 108/-18Divide 108 by −18 to get −6.
x=−6what is the answer what is the answer what is the step by step answer to learn to do it
Answer: 1.01% sale tax.
Step-by-step explanation:
First you must take your tax price before and the tax price after and divide them. This gets you 1.01.
To be sure this is your answer you can multiply the 1.01% by 53 and it gives you 53.53$ (If you don't understand I suggest looking at a video from khan academy they explain things much better than I do.)
Hope that helped in some way :)
Your faucet in your kitchen starts leaking. You put a bucket under it. The faucet is leaking at a constant rate. After 5 minutes, there is 300 mL of water in the bucket. What is the pattern rule?
Answer: 60mL per minute
Step-by-step explanation:
300/5=60
Can I please get brainly?
a line with slope 2 intersects a line with slope 6 at the point (40, 30). what is the distance between the x-intercepts of these two line
The distance between the x-intercepts of these two line is 10 units.
Given that,
These two lines' x-intercepts are separated by 10 units.
Equation of the line with slope 2 is
y-30/x-40 = 2
For x intercept put y = 0,
then
-30/x-40 =2
x =25
Equation of the line with slope 6 is
y-30/x-40 =6
For x intercept put y = 0,
then
-30/x-40 =6
x =35
Distance between x-intercepts of these two lines is difference of the two intercepts i.e,
D = 35-25 = 10.
Thus, the distance between the x-intercepts of these two line is 10 units.
To learn more about x-intercepts click here:
brainly.com/question/14180189
#SPJ4
24.15 as a two significant figures?
24.15 as two significant figures is 24.
What are significant figures?All significant figures are those that enhance the overall worth of the number's meaning. Numbers are frequently rounded to avoid repeating quantities that are not significant. When rounding, one must be careful not to lose precision. Sometimes the purpose of rounding numbers is simply to make them simpler.
What are the significant figure's rules?Use the following guidelines to decide which numbers are important and which are not:
1) A decimal number less than 1 is not affected by the zero to the left of it.
2) The placeholders for all trailing zeros are all insignificant.
3. There should be significance between non-zero numbers.
4) Every non-zero number has meaning.
5) A number is rounded if it has more digits than the necessary number of significant ones. For instance, 432,500 is rounded up to 433,000 to three significant digits using the half-up (regular) method.
6) Zeros at the end of numbers that are not important but are left in because eliminating them would change the number's value. The 000 in 433,000 in the example above cannot be removed without converting the number to scientific notation.
Given the number, 24.15
We have to convert it to two significant figures, so we will consider the only two figures before the decimal point. So, the number up to two significant figures is 24.
To know more about the significant figures, visit:
https://brainly.com/question/29153641
#SPJ1
Write down the inequality shown on the number line below.
Answer:
- 0.5 ≤ x ≤ 3.5
Step-by-step explanation:
since both ends of the interval are closed circles. This indicates that x can equal both - 0.5 and 3.5 and the values between , then
- 0.5 ≤ x ≤ 3.5
The inequality shown on the number line is -0.5 ≤ x ≤ 3.5.
Given is a number line where a value starts from -0.5 and end at 3.5, we need to write down the inequality shown on the number line,
To write down the inequality shown on the number line starting from -0.5 and ending at 3.5, we need to determine the range of values represented by the line segment.
The left endpoint of the line segment is -0.5, which means the value represented by that point is greater than or equal to -0.5.
We can express this as:
x ≥ -0.5
The right endpoint of the line segment is 3.5, which means the value represented by that point is less than or equal to 3.5.
We can express this as:
x ≤ 3.5
Combining these two inequalities, we have:
-0.5 ≤ x ≤ 3.5
This inequality represents all the values on the number line between -0.5 and 3.5, inclusive.
Hence the required inequality is -0.5 ≤ x ≤ 3.5.
Learn more about inequality click;
https://brainly.com/question/20383699
#SPJ2
Solve for n. −2(n − 5.5) > 21 PLEASE HELP MEEEEEEE
Answer:
Step-by-step explanation:
1. Divide by -2 and thus flip the inequality
2. (n-5.5)<21/-2
3. Add 5.5 to both sides
4. n<-5
5.Check by plugging in any number less than -5 and see if the inequality is true
6. Example: plug in -10
Is -2(-10-5.5)>21?
Yes
31>21 your solution is n<-5
On solving the linear inequality −2(n − 5.5) > 21 for n, we get n < -5.
Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'.
Given in the question,
-2(n - 5.5) > 21
Solving the inequality,
-2n + 11 > 21
-2n > 21 - 11
-2n > 10
-n > 5
n < -5
Learn more about linear inequalities here
https://brainly.com/question/31366329
#SPJ2
help
Simplify the ratio of 0,5 kg: 250 g
Answer:
2:1
Step-by-step explanation:
.5 kg : 250g
the units must be same at both sides
500g : 250g
{as 1 kg = 1000g}
by simplifying both sides
10g : 5g
2g : 1g
2:1
What is the solution set of the inequality?
Answer:
the fourth one is the right one
Solve x² + 5x - 14 = 0
By solving the equation x² + 5x - 14 = 0 get the value of x is 2 or -7.
Given,
In the question:
To solve the equation:
x² + 5x - 14 = 0
Now, According to the question:
x² + 5x - 14 = 0
Split the middle term into two terms :
x² - 2x + 7x - 14 = 0
Factor the first two terms and the last two terms separately
x(x - 2) + 7 (x -2) = 0
Factor out
(x - 2) (x + 7) = 0
Apply Zero Product Property
x - 2 = 0 or x + 7 = 0
x = 2 or x = -7
Hence, By solving the equation x² + 5x - 14 = 0 get the value of x is 2 or -7.
Learn more about Equation at:
https://brainly.com/question/28261966
#SPJ1
relative maxima and relative minima of the function f(x) = x^5 - 4x^3 + 3x^2 - 8x - 6
The relative maxima and relative minima of the function
f(x) = x^5 - 4x^3 + 3x^2 - 8x - 6
the relative maxima is -1.871the relative minima is 1.518How to fine the relative maxima and minimaThe relative minima and maxima is calculated
by differentiating the given function find the critical values or roots of the equationdifferentiate the second tiesubstitute the critical value that are real numbersthe critical value that gave a negative value is the maximathe critical value that gave a positive value is minimaThe procedure is done as follows
x^5 - 4x^3 + 3x^2 - 8x - 6
differentiating gives
5x^4 - 12x^2 + 6x - 8
solving the equation for the critical values are
x₁ = 0.176 + 0.73i
x₂ = 0.176 - 0.73i
x₃ = 1.518
x₄ = -1.871
The second derivative
5x^4 - 12x^2 + 6x - 8
differentiating gives
20x^3 - 24x + 6
substituting x = 1.58
20 * 1.58^3 - 24 * 1.58 + 6
= 46.966 (positive hence minima)
substituting x = -1.871
20 * -1.871^3 - 24 * -1.871 + 6
= -169.9 (negative hence maxima)
Learn more about relative maxima and minima at:
https://brainly.com/question/6422517
#SPJ1
The distance from Jose’s home to school is 1. 85 miles. The school is 2. 34 miles from the local library, which is 1. 9 miles from Jose’s home. If Jose goes from his home to school, from school to the library, and then home, how far did he travel?
The Jose travels as he travels from his home to school, through school to the library, then finally back home is 4.19 miles.
Define the term total distance?Distance is defined as an object's entire movement without regard for direction. Distance can be defined as how much ground any object has covered regardless of its originating or ending place.The distance between Jose's house and school is 1.85 miles.
The school is 2.34 miles from the nearest library, which is 1.91 miles away from Jose's house.
Total distance = Jose’s home to school + school to library
Total distance = 1.85 + 2.34
Total distance = 4.19 miles.
Thus, the Jose travels as he travels from his home to school, through school to the library, then finally back home is 4.19 miles.
To know more about the total distance, here
https://brainly.com/question/26550516
#SPJ4
The side lengths of triangle ABC are written in terms of
the variable p, where p > 3.
A
p+4
C
4p-1
3p
B
Which is correct regarding the angles of the triangle?
Om/A> m2C> mzB
OmZB> mzA> mZC
Omzc>m mZB
O mzC> m2B> MZA
m∠C > m∠A > m∠B is correct regarding the angles of the triangle ABC.
What is the angle of the triangle?
While the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it, the interior angles of a triangle always add up to 180°.
Here, we have
In Δ ABC, the side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.
AB=4p-1 , AC=p+4 , BC=3p
where p+4 < 3p [as p≥3]
3p < 4p-1 [as p≥3]
⇒ 4p-1> 3p > p+4
⇒AB > BC > AC
Angle opposite to AB, BC, and AC is m∠C,m∠A, and m∠B.
m∠C > m∠B > m∠A [∵Angle opposite to greater side is greater]
Hence, mC > mA > m∠B is correct regarding the angles of the triangle ABC.
To learn more about the angles of the triangle from the given link
https://brainly.com/question/20126678
#SPJ13
First, complete the story below so that it can be represented by the equation 5000-50x=4800-30x
Pool A started with 5000 liters of water, and 50 liters per minute are being (Drained out or Pumped back in)
Pool B started with 4800 liters of water, and 30 liters per minute are being (Drained out or Pumped back in)
The amount of water after x minutes is more in which pool? Pool A or Pool B?
The amount of water after x minutes is equal in both pools.
What is a Linear equation in one variable?
A univariate linear equation is an equation of the form ax + b = 0, where a and b are two integers, x is a variable, and there is only one solution.
For example, 2x+3=8 is a linear equation in one variable.
The given equation is 5000 - 50x = 4800 - 30x.
solving for 'x',
5000 - 50x = 4800 - 30x
5000 - 4800 = 50x - 30x
200 = 20x
x = 200/20
x = 10
The amount of water after 10 minutes in Pool A will be = 5000 - 50(10)
= 5000 - 500
= 450 liters
The amount of water after 10 minutes in Pool B will be = 4800 - 30(10)
= 4800 - 300
= 450 liters.
Hence, the amount of water will be the same in both pools.
To learn more about the linear equations in one variable, visit:
https://brainly.com/question/10839449
#SPJ13
Given that x is a nonnegative number, a student conjectured that a +5 < x²
Which value of x is a counterexample to the student's conjecture?
A.) x = -1/
5
B.)x = -5
C.)x = 0
D.) x = 5
Option B, x = -5 is correct answer, x = -5 is the counter example to the student's conjecture.
What is inequality?
A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
Given inequality in the question is:
x +5 < x²
We will check each option given I question by putting value of x,
putting x = -1/5
x + 5 < x²
-1/5 + 5 < (-1/5)²
24/5 < 1/25
4.8 < 0.04
This is wrong inequality , Therefore, x is not equal to -1/5
putting x = -5
x + 5 < x²
-5 + 5 < (-5)²
0 < 25
This is satisfying the inequality ,
Therefore, x is equal to -5
Hence, correct answer is x = -5
To know more about inequality, go to link
https://brainly.com/question/24372553
#SPJ13
Are you local grocery store? You can buy 3 pounds of rice for 9 dollars use this information to fill in the missing parts
The proportional relationship that gives the cost of x pounds of rice is given as follows:
y = 3x.
What is a proportional relationship?A proportional relationship is a special case of a linear function, with slope represented by k and intercept of 0, hence the output variable y is obtained with the multiplication of the input variable x and the slope k, as follows:
y = kx.
In this problem, the input and the output are given as follows:
Input: pounds of rice.Output: cost.You can buy 3 pounds of rice for 9 dollars use, hence the constant representing the cost per pound is given as follows:
k = 9/3 = 3.
Hence the equation is:
y = 3x.
Missing InformationThis problem is incomplete but we suppose that it asks for a proportional relationship giving the cost of x pounds of rice.
More can be learned about proportional relationships at brainly.com/question/10424180
#SPJ1
suppose the insect population doubled after 15 hours. how long (in hours) will it take the insect population to grow to eight times its initial size? (simplify your answer completely.)
Using population growth modeling it is concluded that the population of insects after 1 hour will be about 1.05 times.
What is growth and decay modeling?The method used to calculate the growth and decay of insects or bacteria are called growth and decay modeling.
Let us assume n₀ is the initial population, then the total population n(t) after t time is given by the formula:
n(t) = n₀ [tex]e^{rt}[/tex], where r = the relative rate of growth.
Suppose an initial number of insects is x and after 15 hours it becomes 2x.
2x = x[tex]e^{15r}[/tex]
[tex]e^{15r}[/tex] = 2
Take the log of both sides of the equation
ln [tex]e^{15r}[/tex]= ln 2
15r = ln 2
r = 0.693147/15
Now, population after 1-hour = x [tex]e^{r}[/tex]
= 1.047
≈ 1.05
Hence the population of insects after 1 hour will be about 1.05 times.
To know more about the growth of the population of insects, visit:
https://brainly.com/question/3155351
#SPJ4
I need help like asap !!!
only numbers and decimal points
What is the name of the bolded part of this shape?
Answer:
A right-angled triangle
Write the domain as an equality
The domain of the inequality is from zero to negative infinity
[ -∞, 0)How to determine the domain of the inequalityThe domain refers to the values in the input of a function, these values are in the x direction.
The domain says the extents the values of the input is therefore no all the input values must be in the domain
Examining the graph shows that the graph reached the point x = 0 and returned with an arrow.
The arrow means that the values continued limitlessly, such limitless values are represented by infinity with symbol ∞.
The infinity is in the negative direction
Learn more about domain here:
https://brainly.com/question/1045262
#SPJ1
I need help me thank you
Step-by-step explanation:
s = 17b
when b =2:
s = 17b
s = 17(2)
s = 34
when b = 4
s = 17b
s = 17(4)
s = 68
What are the like terms in the expression 8 + x squared minus 4 x cubed + 5 x + 2 x squared?
8, 5 x
x squared, 2 x squared
8, 5 x 2 x squared
x squared, Negative 4 x cubed, 2 x squared
In the expression, 8 + x squared minus 4 x cubed + 5 x + 2 x squared.
2x^2 and x^2 are the like terms
How to find the like terms in the expressionThe given expression is 8 + x squared minus 4 x cubed + 5 x + 2 x squared
This is rewritten as
8 + x^2 - 4x^3 + 5x + 2x^2
The terms in the expression are grouped as
constant terms: 8
terms with x variable : 5x
terms with x^2 variables: 2x^2 and x^2
terms with x^3 variables: 4x^3
Like terms refers to terms that are similar either as a constants or have same variables
Hence the like terms in the expression is 2x^2 and x^2
Learn more on like term in equations here:
https://brainly.com/question/29333659
#SPJ1
The amount of seed in a bird feeder decreased 11 1/4 ounces in 5 days. The amount of seed decreased the same amount each day. What was the change in the amount of seed in the bird feeder after 7 days?
The change in the amount of seed in the feeder after 7 days is 78.75 ounces.
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one.
For example, if you ran 80 meters in 10 seconds, you ran on average 8 meters in 1 second
To find the rate at which the amount of seed decreases.
11 1/4 ounces = 5 days
Dividing both sides of the equation by 5.
11 1/4 ounces = 1 day
Multiplying 7 on both sides to get the number for 7 days
7 x 11.25 ounces = 7 days
78.75 ounces = 7 days
If the amount of seed in a bird feeder decreases by 11 1/4 ounces in 5 days, the amount of seed decreases by 78.75 ounces.
The change in the amount of seed in the feeder in 7 days is 78.75 ounces.
Learn more about unit rate on:https://brainly.com/question/4895463
#SPJ1
the probability that a visitor to an animal shelter will adopt a dog is 0.10. out of 9 visits, what is the probability that at least (equal to or more than) 1 dog will be adopted?
The probability of having at least one dog adopted is 0.6126
It is given that the probability to adopt a dog is 0.1
The adoption of the dog here clearly follows a Binomial distribution
ⁿCₓ X pˣ X (1 - p)ⁿ⁻ˣ
where,
n = no. os sample
p = probability of success
x = random variable.
Here the success would be the adoption of a dog, We are given here there were 9 visits
Hence,
n = 9
p = 0.1
1 - p = 0.9
we need to find the probability of the adoption of at least one dog
= P(X ≥ 1)
= 1 - P(X = 0)
Hence we get
P(X = 0)
= ⁹C₀ X 0.1⁰ X 0.9⁹
= 0.3874
Hence,
P(X ≥ 1)
= 1 - 0.3874
= 0.6126
Therefore the probability that at least one dog will be adopted is 0.6126
To know more about Probability visit
brainly.com/question/14210034
#SPJ4
Find x and m
Giving brainlist to fastest reply that’s correct! Also liking answers for trying to answer <3
Answer:
x=21, m<s=95
Step-by-step explanation:
85+5x-10=180
75+5x=180
5x=105
x=21
m<S= 5(21)-10
m<S= 105-10
m<s=95
The half-life of a substance is the time it takes for half of that substance to break down or decay. The half-life of an unknown element is 1 day.
Write an equation for the amount remaining from a sample of 100 grams of the element after x days. How much of the substance will be left after 3 days? Where is the
asymptote?
Answer:
See below
Step-by-step explanation:
Amount = 100 (1/2)^x
after 3 days
amount = 100 ( 1/2)^3 = 12.5 gm left
2
Select the correct answer.
Which interval describes where the graph of the function is positive?
-8
O
O
O
B.
A. -∞ <<∞
C.
A
D.
N
-∞ < x < -1
-8∞ < < -2
-2 < < -1
Ň
-6
-8
-N
6 8
Option B is the correct answer, the interval in which the graph of the function is positive is -∞ < x < -1.
What do mean by interval?
In mathematics, a (real) interval is a collection of real numbers that includes all real numbers that fall inside any two of the collection's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1. The set of all real numbers, the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton are additional examples of intervals.
As we can see in the graph provided in the question, the graph of function reach the positive side of the y-axis at x = -1, it means one of the two end point of the interval is going to be -1. And, the graph is constantly and slowing increasing it's value as increase in the x-axis therefore, the other endpoint of the interval cab be considered as negative infinity.
To know more about interval, go to link
https://brainly.com/question/1503051
#SPJ1
Solve for A in terms of I and P.
I=A–P
Answer:
I+P=A
Step-by-step explanation:
isolate a on 1 side
I=A—P
+P. +P
I+P=A
Hopes this helps please mark brainliest
Answer:
A=P+I
Step-by-step explanation:
make A the subject of formula
giving A= P+I