Answer:
a greater-than negative 21 and one-third
Step-by-step explanation:
3/4a>-16
divide both sides by 3/4
a>-16*4/3
a>-64/3
a>-21 1/3
so then
a greater-than negative 21 and one-third
Good luck on the test.
A survey asked people of different ages wether they get their news by reading the paper. what is the probability that a person surveyed is under 40 given that he or she gets the news by reading the paper if necessary, round .
The probability that a person surveyed gets the news by reading the paper, given that he or she is under 40 is 10%. The Option A is correct.
How do we arrive at 10% as our probability?We are given that number of people who read paper and under 40 is 4 and number of people who are under 40 is 40.
We need to find the probability that a person surveyed gets the news by reading the paper given that he or she is under 40.
We will use the "Conditional probability": P (Person that read the paper given that he or she is under 40) is given by:
= P(read the paper and under age 40) / P(person who are under age 40)
= 4 / 40
= 0.1
= 10%
Full questions"A survey asked people of different ages whether they get their news by reading the paper. What is the probability that a person surveyed gets the news by reading the paper, given that he or she is under 40? If necessary, round your answer to the nearest percent. A.10% B.14% C.5% D.90%
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A simple random sample of 64 observations was taken from a large population. The sample mean and the standard deviation were determined to be 320 and 120 respectively. The standard error of the mean is:________
a. 1.875
b. 40
c. 5
d. 15
e. None of the above
Answer:
The correct option is d
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The mean is \(\= x = 320\)
The standard deviation is \(\sigma = 120\)
Generally the standard error of the mean is mathematically represented as
\(\sigma_x = \frac{\sigma}{ \sqrt{n} }\)
=> \(\sigma_x = \frac{120}{ \sqrt{64} }\)
=> \(\sigma_x =15\)
The average age of doctors in a certain hospital is 42.0 years old with a standard deviation of 10.0 years. If 16 doctors are chosen at random for a committee, find the probability that the mean age of those doctors is less than 43.50 years. Assume that the variable is normally distributed. Group of answer choices
There is a 65.54% probability that the average age of those doctors is under 48.8 years.
What is probability?Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.
It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.
The possibility of an event occurring increases as it gets higher.
True mean = mean (or average)+/- Z*SD/sqrt (sample population)
Then,
Mean (average) = 48.0 years
The true mean must be less than 48.8 years.
SD = 6.0 years, and
Sample size (n) = 9 doctors
Using Z as the formula's subject:
Z= (True mean - mean)/(SD/sqrt (n))
Inserting values:
Z=(48.8-48.0)/(6.0/sqrt (9)) = 0.4
From the table of normal distribution probabilities:
At Z= 0.4, P(x<0.4) = 0.6554 0r 65.54%
Therefore, there is a 65.54% probability that the average age of those doctors is under 48.8 years.
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Complete question:
The average age of doctors in a certain hospital is 48.0 years old. suppose the distribution of ages is normal and has a standard deviation of 6.0 years. if 9 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 48.8 years. assume that the variable is normally distributed.
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A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. Earth has a radius of 3959 mi.
What is the climber's distance to the horizon?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer: The answer is 171.2 Miles
Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.
Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.
Zero(s) of multiplicity one:
Zero(s) of multiplicity two:
Zero(s) of multiplicity three:
Please look at photo for the full question. Thank you.
The zeros and the multiplicities are
Zero(s) of multiplicity one: x = 6Zero(s) of multiplicity two: x = 11Zero(s) of multiplicity three: x = -6 and x = -5How to determine the zeros and the multiplicitiesfrom the question, we have the following parameters that can be used in our computation:
f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³
The power of each factor are the multiplicities
So, we have
Zero(s) of multiplicity one:
x - 6 = 0
Zero(s) of multiplicity two:
x - 11 = 0
Zero(s) of multiplicity three:
x + 6 = 0 and x + 5 = 0
When evaluated, we have
Zero(s) of multiplicity one:
x = 6
Zero(s) of multiplicity two:
x = 11
Zero(s) of multiplicity three:
x = -6 and x = -5
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Strategic decisions occur:
infrequently and involve long-term decisions
infrequently and involve immediate decisions
frequently and involve long-term decisions
frequently and involve immediate decisions
Strategic decisions occur infrequently and involve long-term decisions.
Decision making is the process of taking decisions from two or more alternatives.
Strategic decision making is one of the important decision making process in an organization. This is one of the best ways to achieve the goals and objectives of an organization.
This is a long term process of decision making since it focus on long term goals.
So this does not occur frequently.
Hence the correct option is (A) infrequently and involve long-term decisions.
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An airplane flying into a headwind travels the 1560-mile flying distance between two cities in 3 hours. On the return flight, the airplane travels this distance in 2 hours and 30 minutes. Find the airspeed of the plane (in mi/h) and the speed of the wind (in mi/h), assuming that both remain constant.
airspeed mi/h
wind speed mi/h
So the speed of the wind is 52 miles per hour. When the airplane is flying into a headwind, its ground speed (the speed at which it appears to be moving relative to the ground)
what is speed ?
In physics, speed is the rate at which an object moves, or the distance traveled per unit of time. It is a scalar quantity, meaning that it has magnitude (a numerical value) but no direction.
In the given question,
Let's use "s" to represent the airspeed of the plane, and "w" to represent the speed of the wind.
When the airplane is flying into a headwind, its ground speed (the speed at which it appears to be moving relative to the ground) is s - w. We know that the airplane travels 1560 miles in 3 hours, so we can set up the equation
1560 = (s - w) * 3
Simplifying this equation, we get:
s - w = 520
When the airplane is flying with a tailwind (i.e., in the opposite direction of the headwind), its ground speed is s + w. We know that the airplane travels 1560 miles in 2.5 hours (since 2 hours and 30 minutes is equal to 2.5 hours), so we can set up the equation:
1560 = (s + w) * 2.5
Simplifying this equation, we get:
s + w = 624
Now we have two equations:
s - w = 520
s + w = 624
We can solve this system of equations by adding them together. When we add the left sides of the equations, we get:
2s = 1144
Dividing both sides by 2, we get:
s = 572
So the airspeed of the plane is 572 miles per hour.
Now we can use one of the equations we found earlier to solve for the wind speed. Let's use the equation:
s - w = 520
Substituting s = 572, we get:
572 - w = 520
Simplifying this equation, we get:
w = 52
So the speed of the wind is 52 miles per hour.
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A truck with 30-in.-diameter wheels is traveling at 50 mi/h.
Find the angular speed of the wheels in rad/min, "hint convert miles to inches & hours to minutes:
_________rad/min
How many revolutions per minute do the wheels make?
___________rpm
Answer:
A. the angular speed is 3771.4 rad/min
b. 5921 rpms
Step-by-step explanation: I just got this same question right on a test.
am I right for part A. And please help me with B
a) The radius of the sphere is given as follows: 27.13 ft.
b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.
How to obtain the surface area?The surface area for a sphere of radius r is given by the equation presented as follows:
S = 4πr².
The surface area for this problem is given as follows:
9244 ft².
Hence the radius is given as follows:
\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)
r = 27.13 ft.
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Stephen made two cakes of the same size for a party one chocolate and one vanilla at the end of the day 1/5 of the chocolate cake with leftover there is 2/8 of the vanilla cake leftover Steven divided the remaining chocolate cake into four equal slices and the remaining vanilla cake into five equal slices which statement correctly compares the sizes of the remaining slices
Based on the fact that the cakes were originally of the same size, but then some of them were leftover, the size of the leftover slices in relation to the original slices are:
Chocolate cake slice - 1/25Vanilla cake slice - 1/16What are the sizes of cake left?The proportion of the chocolate cake slices is relation to the original size of cake is:
= Leftover percentage / Number of slices
Solving gives:
= 1/5 ÷ 4
= 1/25
The proportion of the vanilla cake slices in relation to the original slice is:
= 2/8 ÷ 5
= 1/16
In conclusion, each chocolate slice is 1/25 of the original cake and each vanilla slice is 1/16.
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Thor’s hammer can cover 4.95 km in a second. How many kilometers will it cover in 4.95 seconds
Answer:
24.5025
Step-by-step explanation:
4.95 x 4.95=24.5025
Hope I helped!
A roll of carpet that contains 250 yd of carpet will cover how many rooms if each room requires 7 3/4 yards of carpet?
Answer: 32 room
Step-by-step explanation:
\(7\frac{3}{4} =\frac{4(7)+3}{4} =\frac{28+3}{4} =\frac{31}{4}=7.75\)
If 1 room = 7.75 yd of carpet ⇒ x rooms = 250 yd of carpet
Use proportions & cross-multiply to solve:
\(\frac{1}{7.75} =\frac{x}{250}\\7.75x=250\\x=\frac{250}{7.75} =32.258\)
So 250 yd of carpet can cover about 32 rooms.
approximatly 31,500 citizens of a country died in automobile accidents in 2015, express this toll in deaths per day. round to the nearest whole number. There are approximatly how many deaths due to automobile accidents
Using simple division we know that 86 people or citizens dies each day in 2015.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
Division in mathematics is the process of dividing an amount into equal parts.
For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
So, we know that:
31,500 people died in 2015.
We also know that 2015 had 365 days.
Then, people died easily day would be:
= 31,500/365
= 86.30
Rounding off: 86 people
Therefore, using simple division we know that 86 people or citizens dies each day in 2015.
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write and solve an inequality to find the possible values of x
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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De los 12 jugadores del equipo 2/8 son delanteros
There are a total of 3 forwards on the team.
How many forwards are there on the team?A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar
Given:
2/8 of the players are forwards.
Total number of players on the team = 12
We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.
Fraction representing the forwards:
= 2/8
= 1/4
Total forwards on the team:
= 12 * (1/4)
= 3.
Translated question:
Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?
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Choose the correct the expression: Six less than a number
Answer:
n-6
Let n represent the number
Answer:
X - 6
Step-by-step explanation:
X is a number
A car is driving 69 miles per hour on a freeway that has lamp posts along the edge. If it takes the car 5 seconds to travel between the lamp posts, how far apart are the lamp posts spaced? Enter your answer in feet and round to two decimals.
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
Car:
velocity = 69 miles / hour
time = 5 seconds
Step 02:
distance:
\(dis\tan ce\text{ = }\frac{69\text{ miles}}{hour}\cdot5\sec \cdot(\frac{1\text{ hour}}{3600\text{ sec}})\cdot(\frac{5280ft}{1\text{miles}})\)distance = 506 ft
The answer is:
The distance between the lamp posts is 506 ft
Solve this :9x + 3 < 21
Answer:
Step-by-step explanation:
9x<21-3
9x<18
x<18/9
x<2
What is the area of the given trapezoid?
9)
2.9 km
5.6 km
10.9 km
O 38.64 km2
O 19.3 km2
O 77.28 km?
O 46.44 km2
PLEASE HELP
Answer:
38.64 km^2
Step-by-step explanation:
The formula for the area of a trapezoid is:
\(\frac{(b_{1}+b_{2})*h}{2}\)
Where b1 and b2 are the bases and h is the height. We are given 2.9 and 10.9 as the bases and 5.6 as the height. We can plug these values into the formula:
\(\frac{(2.9+10.9)*5.6}{2}\)
After entering the expression in the calculator, you get:
38.64 km^2
This is the first option.
A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this
equation?
-5
1
6
Save and Exit
The discriminant value associated with this equation include the following: A. -5.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
In this scenario, we would determine the number of zeros by using the discriminant formula as follows;
Discriminant, D = b² - 4ac
This ultimately implies that, the discriminant value must be a negative numerical value and two complex roots such as -5;
-5 = b² - 4ac
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Complete Question:
A quadratic equation has zero real number solutions. which could be the discriminant value associated with this equation?
a. –5 b. 0 c. 1 d. 6
what is the distance from c to d?
does anyone have the answer please I’m begging.
Answer:
B
Step-by-step explanation:
V = area of base * hight ; consider the base the triangle
V= (b*h of triangle /2 ) * h of figure
V= (6*8/2)*13 = 312 cm³
Please help me with this, I am not sure what to do.
Since \(x\) is approaching 1 from the left/below, we take the part of \(f(x)\) that is defined over \(x<1\), for which we have
\(f(x) = \dfrac{x-1}{\sqrt{x-1}}\)
Since \(x\neq1\), we can simplify this to
\(f(x) = \dfrac{x-1}{(x-1)^{1/2}} = (x-1)^{1/2} = \sqrt{x-1}\)
and this is continuous at \(x=1\), so we can evaluate the limit by directly substituting \(x\).
To summarize:
\(\displaystyle \lim_{x\to1^-} f(x) = \lim_{x\to1} \frac{x-1}{\sqrt{x-1}} = \lim_{x\to1} \sqrt{x-1} = \sqrt{1-1} = \boxed{0}\)
I’ll give Brainlylist to whoever gets this correct - Due today
Please and thank you
P.S there’s two boxes called Data set 1 and Data set 2
Answer:
Step-by-step explanation:
Mean: Add all the values and divide by the # of values
Median: The center of the values
Mode: The value that appears the most in the data set
Mean for data set 1: 86
Mean for data set 2: (85+89+71+85+86+91+92+96+87)/2= approximately 86.89
Median for data set 1: 72,75,78,80,88,90,95,98,98
We've sorted it from least to greatest, and the center is 88 because there is 4 values to the left of it, and 4 values to the right. It's at the very center.
Median for data set 2: 71,85,85,86,87,89,91,92,96
The center for this is 87 because it is again, at the absolute center/middle between the data.
Mode for data set 1: 98 because it appears 2 times, which is more often than other values
Mode for data set 2: 85 because it appears most often (2 times) in the data set
Hope this helps! :)
Not sure about this question
The absolute minimum of the function is f ( -10 ) = -1
Given data ,
Let the function be represented as f ( x )
Now , the function f ( x ) is plotted on the graph
where the minimum of a function is the smallest value that the function takes on over its entire domain.
It is the point on the graph of the function that is the lowest possible point
So , the function has the minimum value of - 1 at the point x = -10
Hence , the minimum of function is f ( -10 ) = -1
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Which sum or difference is modeled by the algebra tiles?
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
what is expression ?It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.
given
To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2
Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6
Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2
Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4
= 2x2 + 2x + 2
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
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The complete question is:-
Select the correct answer.
Which sum or difference is modeled by the algebra tiles?
A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2
B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2
C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2
D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2
find the equation (in terms of x) of the line through the point (-3,-3) and (2,-2)
Answer:
y = (1/5)x - 12/5
Step-by-step explanation:
First, you need to find the slope (m). This can be done by using the given points and the following equation.
y₁ - y₂ = m(x₁ - x₂)
-3 - (-2) = m(-3 - 2)
-1 = -5m
1/5 = m
Next, you need to find the y-intercept (b). You can do this by using the slope and the values of a point in the following equation.
y = mx + b
-2 = (1/5)(2) + b
-2 = 2/5 + b
-2.4 = b
-12/5 = b
Putting the information together, you are left with your final equation.
y = (1/5)x - 12/5
At which points is the function continuous?
The function is continuous in the domain x ≥ 3/4
At which points is the function continuous?Here we have a root function:
f(x) = ⁴√(4x - 3)
This is an even degree root function, so we have problems when the argument is negative.
Then the allowed values (where the function is defined, and thus, continuous) are:
4x - 3 ≥ 0
4x ≥ 3
x ≥ 3/4
There the function is continuous.
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A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing values. What is the value of the red X?
Answer:
See Explanation
Step-by-step explanation:
Given:
See Attachment
Required
Complete the table
From the question, we understand that:
\(1m^2 = 10.75\ tiles\)
So:
When square meters = 1
\(X = 10.75 * 1\)
\(X = 10.75\)
When square meters = 10
\(X = 10.75 * 10\)
\(X = 107.5\)
Assume any value of square meter for the third row;
Say: square meters = 20
\(X = 10.75 * 20\)
\(X = 215\)
When square meters = a
\(X = 10.75 * a\)
\(X = 10.75a\)Answer:
107.5
Step-by-step explanation:
What is the volume in cubic centimeters of the figure below?
Answer:
so that you will multiply 15 * 4.
Step-by-step explanation:
15*4 = 60 now you divide 60 by 4 and the answer will be 15.