Answer:
Buying the larger box, I will be saving 23% compared to the original price.
Step-by-step explanation:
Given that a box contains 300 swabs for 2.99 and the other box is specially marked at 30% more swabs for the same price, to determine how much will I save per swab by buying the larger box the following calculation must be performed:
2.99 / 300 = X
0.0099 = X
2.99 / (300 x 1.3) = X
2.99 / 390 = X
0.0076 = X
0.0099 = 100
0.0076 = X
(0.0076 x 100) / 0.0099 = X
77 = X
100 - 77 = 23
Therefore, buying the larger box I will be saving 23% compared to the original price.
Fregue
11. In a class of 50 students, 35 are girls, what
is the probability that a student selected at
random is a boy?
b=(50-35) and students=50
b/s=15/50=3/10
3m +6 - 8m + 9 = -20
Answer:
m=7
Step-by-step explanation:
Answer:
m=7
-8m+3m=-6-9-20
-5m=-35
-35/-5=7
m=7
Solve the system of equations and choose the correct answer from the list of options. (4 points)
2x + y = −4
y = 3x + 2
Question 4 options:
1)
negative 6 over five comma negative 8 over 5
2)
negative 8 over 5 comma negative 6 over 5
3)
negative 5 over 6 comma negative 11 over 5
4)
negative 11 over 5 comma negative 6 over 5
Answer:
Negative 8 over 5 comma negative 6 over 5
please help asap!!!
What is the decimal value of 4/11? Show long division.
How do you know that 4/11 is a repeating decimal?
Answer:
0.3636363636363636
Step-by-step explanation:
Its a repeating decimal because 4 cannot be divided by 11
There ya' go :]
Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
h(x)≥ 5
Step-by-step explanation:
If h(x) = x+2
Range is the output value for all input variables x
If x <3
h(x) < 3 + 2
h(x) < 5
Also h(x) = -x+8, if x ≥3
h(x ) = -3 + 8
h(x)≥ 5
Combining both inequalities
h(x)≥ 5
5 ≤ h(x) < 5
Hence the required range is h(x)≥ 5
Looking for right triangle side a is 1 inch long,and side b is 2 inches long. What is the length of side c?
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
In this situation a = 1, b = 2
[tex]1^{2} + 2^{2} = c^{2}[/tex]
1 + 4 = [tex]c^{2}[/tex]
5 = [tex]c^{2}[/tex]
c = [tex]\sqrt{5}[/tex]
This is an important mathematical theorem to know. It's called the Pythagorean Theorem.
Which polygon appears to be regular?
O Figure A
O Figure B
O Figure C
Figure A
Figure B
O Figure D
Figure C
Figure D
Figure C appears to have all sides and angles the same.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on.
A regular polygon can have any number of sides, and its name reflects the number of sides it has.
For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on.
Thus,
Figure C appears to have all sides and angles the same.
Learn more about regular polygons here:
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William bought 5 rulers for $7.50. If r represents the cost of one ruler, which equation represents this situation?
Group of answer choices
5r = 7.50
r/5 = 7.50
r + 5 = 7.50
7.50r = 5
Answer:
5r = 7.50
Step-by-step explanation:
As, the cost of 1 ruler = r
So, r times 5 ruler will give u the cost of 5 rulers, which is 7.50
So, 5r = 7.50
The ocean is never moving ? is it Ture or false
Answer:
This statement is false because there are waves and currents which changes because of the moon
Step-by-step explanation:
A stack of 5 books welghs 9.5 pounds. If each book weighs the same amount, how much does each book weigh?
Maria found that 4 bags of leaves weight 6 pounds and 8 bags of leaves weight 12 pounds .She made a graph to help her find the weight of the other bags
which ordered pair follows the pattern in the graph
Answer:
Each bag had weighed about 1 1/2 (or 1.5) pounds.
Step-by-step explanation:
6 divided by 4 should end in a result of the unit weight 1.5 lbs.
I hoped this Helped and i Hope that You have a Splendid day!!!Answer:
3, 4
Step-by-step explanation:
i divided 6 and 8 by 2 and got 3,4
boom magic
Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie
Answer:
its c
Step-by-step explanation:
i just took the test on plato
M is the midpoint of PA.
8x - 1
M
2x + 17 A
PM =
Use the given functions to set up and simplify PM
M =
PA =
8x - 1
M=
2x + 17A
PM=
Centro (2,-3) y radio 2 representado algebraicamente?
Se representa algebraicamente como (x - a) 2 + (y - b) 2 = r2 donde el centro del círculo es el punto (a, b) y tiene un radio r. En el plano complejo un ...
p = paint, r = rollers
Use 35.75p + 6r =190 to determine the number of paint needed if a customer bought 6 rollers
Answer: 4.31 point
Step-by-step explanation:
35.75p+6(6)=190 where 35.75p+36=190 35.75p=154 = 4.31 paint
You start at (3,5). You move left and stop at (-5,5). How much distance have you traveled?
Answer:8
Step-by-step explanation:
Distance = √{(x1-x2)^2+(y1-y2)^2}
=√(64+0)
=8
K(x) = 3x - 5 what's the function
I need 2 more!! So can you help
Answer:
✔️2a + 6 + 7a
✔️2a + 7a + 6
✔️9a + 6
Step-by-step explanation:
Given:
2(a + 3) + 7a
Required:
3 equations equivalent to the given expression
Solution:
2(a + 3) + 7a = 2a + 6 + 7a = 2a + 7a + 6
= 9a + 6
From the above, we can pick 3 expressions that are equivalent to 2(a + 3) + 7a. They are:
✔️2a + 6 + 7a
✔️2a + 7a + 6
✔️9a + 6
how to do i need help solve
Answer:
51 cm^2
Step-by-step explanation:
We need to make this into pices that we can multiply to get are, luckily we have 2 parts we can seperate.
We can divide this into 2 shapes 9 by 4, and 3 by 5. all we need to do now is 9*4 + 3*5 to get 51 cm^2
The next model of a sports car will cost 6.9% less than the current model. The current model costs $48,000. How much will the price decrease in dollars? What
will be the price of the next model?
Decrease in price:
Price of next model:
Answer:
Price is decreased by $3,312
And, the price of the next model is $44,688
Step-by-step explanation:
The computation is shown below:
Given that the current model cost is $48,000
And, there is 6.9% lower than the current model
So, the price would decrease in dollars is
= $48,000 × 6.9%
= $3,312
The price of the next model is
= $48,000 - $3,312
= $44,688
-3m + 5>26
How to answer this question
9514 1404 393
Answer:
m < -7
Step-by-step explanation:
Maybe you want to find the value of m.
Subtract 5, then divide by -3.
-3m +5 > 26 . . . given
-3m > 21 . . . . . . subtract 5 from both sides
m < -7 . . . . . . . . divide by -3. Dividing by a negative number reverses the inequality.
find the value of 7u+1 given that -5u-1=4
Answer:
-5u-1=4
-5u=5
u=-1
7u+1=-7+1=-6
Step-by-step explanation:
Help!!!!!! Solve the following system of equations to determine how many solutions it has. Explain your answer
4x + 2y = -4
12x + 6y = -12
Answer:
Infinitely many solutions
Step-by-step explanation:
Eq. 1 and eq. 2 are the same line.
Multiply eq. 2 by (-3) to get eq. 1.
Multiply eq. 2 by 3 and add to eq. 1 to eliminate x.
Consistent dependent system of equations, infinitely many solutions.
1.)1x-6y=-15
2.)-4+2y=5
20% of the applicants for a certain sales position are fluent in both Chinese and Spanish. Suppose that four jobs requiring fluency in Chinese and Spanish are open. Find the probability that two unqualified applicants are interviewed before finding the fourth qualified applicant, if the applicants are interviewed sequentially and at random.
Answer:
The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164
Step-by-step explanation:
Let,
The number of unqualified applicants are interviewed before finding the fourth qualified applicant = x
So,
X be the negative Binomial (n = 4 , P = [tex]\frac{20}{100} = 0.2[/tex] )
As , we know that
P(X = n ) = ⁿ⁺⁴⁻¹Cₙ × (1 - 0.2 )⁴ × (0.2)ⁿ for n = 0, 1, 2, ....
As we have to find the probability that two unqualified applicants are interviewed before finding the fourth qualified applicant
⇒n = 2
∴
P(X = 2 ) = ²⁺⁴⁻¹C₂ × (1 - 0.2 )⁴ × (0.2)² for n = 0, 1, 2, ....
= ⁵C₂ × (0.8 )⁴ × (0.2)²
= [tex]\frac{5!}{2! (5-2)!}[/tex] × 0.41 × 0.04
= [tex]\frac{5.4.3!}{2.1! (3)!}[/tex] × 0.0164
= [tex]\frac{5.4}{2}[/tex] × 0.0164
= 10 × 0.0164 = 0.164
∴ we get
The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164
my father bought a robot for 670 2.50 and a toy car for 300 19.25 how much change did he get for his 1000.00
A.7.25 B.15.75cm C.27.75cm D.10.25
Answer:
Step-by-step explanation:
If it is supposed to be 672.50 and 319.25 then you can just go 1000 minus 672.50 which is 327.50 and then subtract 319.25 to get 8.25. But your answers show cm and none show the right answer. So, if it's rounding then choose A.
The sum of two consecutive mile markers on the interstate is 331. Find the numbers on the markers
Answer:
165 and 166
Step-by-step explanation:
Let two consecutive mile markers be x and x+1.
According to the question,
x+x+1=331
2x = 331-1
2x = 330
x = 165
So, the number be 165 and 166.
Job-sharing is an innovative employment alternative that originated in Sweden and is becoming popular in the United States (for example, in 2001, 26% of companies in the U.S. offered it as a flexible work option). Firms that offer job-sharing plans allow two or more persons to work part-time, sharing one full-time job. For example, two job-sharers might alternate work weeks, with one working while the other is off. Job-sharers never work at the same time, and may not even know each other. Job-sharing is particularly attractive to working mothers and to people who frequently lose their jobs due to fluctuations in the economy. In a recent survey of 1,035 major U.S. firms, approximately 23% offer job-sharing to their employees.
For each of the questions, select the correct answer from choices i. through xi. listed below.
a. What is the population of interest?
b. What is the variable measured?
c. What is the sample selected?
d. What is the parameter?
e. What is the statistic?
i. All major U.S. firms
ii. All major firms in the world
iii. All U.S. firms
iv. Job-sharing availability
v. Proportion of employees who are working mothers
vi. The 1,035 firms surveyed
vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees
viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees
ix. 25%
x. The percentage of all U.S. major firms which employ working mothers
xi. All workers in the U.S. who have participated in he job-sharing program
Answer:
a. The population of interest is:
xi. All workers in the U.S. who have participated in the job-sharing program
b. The variable that is being measured is:
viii. The percentage of the 1035 major firms surveyed which offer job-sharing to their employees
c. The sample selected is:
vi. The 1,035 firms surveyed
d. The parameter is:
v. Proportion of employees who are working mothers
e. The statistic is:
ix. 25% (stated as 23%)
Step-by-step explanation:
The parameter of a population is a fixed value calculated from every individual in the population. It is different from a statistic, which is computed from a sample of the population. The statistic is meant to approximate a population parameter.
You can use the definition of parameter and statistic to distinguish between the two.
The answers to the given sections are:
a. The population of interest is
xi. All workers in the U.S. who have participated in he job-sharing program
b. The variable measured is
viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees
c. The sample selected is
vi. The 1,035 firms surveyed
Since this was the collection which was selected for study and thus, called sample from the population as all major US firms.
d. The parameter is
vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees
e. The statistic is
ix. 25% (in question it is written 23% which might be mistakenly written, or that it is mistakenly written in option given)
What is a population and parameter?The entire group or system which we are taking in consideration is population. Nothing bigger than it lies there in consideration.
Ex: If we're taking about health problem in a country, then the whole country people form a population.
If we're taking about numbers on a 6 face die, then those 6 numbers on 6 faces form a population.
Those numbers who summarize information about population are called parameter.
What is sample and statistic?A portion of population taken and analyzed to predict information about population is called sample of that population.
Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.
Those numbers who summarize information about sample are called statistic.
(Statistic is different than statistics)
Using the above definitions to find the answersa. The population of interest is
xi. All workers in the U.S. who have participated in he job-sharing program
b. The variable measured is
viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees
c. The sample selected is
vi. The 1,035 firms surveyed
Since this was the collection which was selected for study and thus, called sample from the population as all major US firms.
d. The parameter is
vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees
e. The statistic is
ix. 25% (in question it is written 23% which might be mistakenly written, or that it is mistakenly written in option given)
Learn more about parameter and statistic here:
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Write the equation of the perpendicular bisector of the segment AB.
A (1, 5) and B (7, -1)
Answer:
The equation of the perpendicular bisector of the segment AB is [tex]y = x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines and slopes:
If two lines are perpendicular, the multiplication of their slopes is -1.
Equation of the perpendicular bisector of the segment AB.
Equation of a line that passes through the midpoint of segment AB and is perpendicular to AB.
Midpoint of segment AB:
Mean of their coordinates x and y. So
(1+7)/2 = 4
(5-1)/2 = 2
So (4,2).
Slope of segment AB:
When we have two points, the slope between them is given by the change in y divided by the change in x.
In segment AB, we have points (1,5) and (7,-1). So
Change in y: -1 - 5 = -6
Change in x: 7 - 1 = 6
Slope: -6/6 = -1
Equation of the perpendicular bisector:
The slope, multiplied with the slope of segment AB, is -1. So
[tex]-1m = -1[/tex]
[tex]m = 1[/tex]
So
[tex]y = x + b[/tex]
Passes through (4,2), which means that when [tex]x = 4, y = 2[/tex]. So
[tex]y = x + b[/tex]
[tex]2 = 4 + b[/tex]
[tex]b = -2[/tex]
So
[tex]y = x - 2[/tex]
Let g(x) = cos(x/2) - 3x. Let f(x) = 2x + 5. What is g(f(x))?
Answer:
g(f(x)) = [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]
Step-by-step explanation:
Explanation:-
Let g(x) = [tex]cos(\frac{x}{2} ) - 3x[/tex] and f(x) = 2x +5
g(f(x)) = g( 2x +5)
= [tex]cos(\frac{2x+5}{2} ) - 3(2x+5)[/tex]
= [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]
g(f(x)) = [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]
This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
ft²
Answer:
Step-by-step explanation:
Radius of semicircle = 2 ft
Area of semicircle = 0.5πr² = 0.5π2² = 6.28 sq ft
Area of rectangle = 10 × 4 = 40 sq ft
Total area = 46.28 sq ft
Answer:
46.28
Step-by-step explanation: