$75 -----> 100%
x ---------> 20%
[tex]\begin{gathered} x\times100=75\times20 \\ 100x=1500 \\ \frac{100x}{100}=\frac{1500}{100} \\ x=15 \end{gathered}[/tex]asnwer 1: they leave her $ 15
answer 2: the total cost of the meal is
[tex]75+15=90[/tex]$ 90
f A and B are independent events with P(A)=0.3 and P(B)=0.7, find P(A AND B). Provide your answer below:
If A and B are independent events with P(A) = 0.3 and P(B) = 0.7, then the value of P(A AND B) = 0.21
A and B are independent events
Independent events are events that does not depends on any other events.
Probability is the ratio of number of favorable outcomes to the total number of outcomes
The value of P(A) = 0.3
The value of P(B) = 0.7
If A and B are independent events, then P(A AND B) = P(A) × P(B)
Substitute the values in the equation
P(A AND B) = 0.3 × 0.7
= 0.21
Hence, if A and B are independent events with P(A) = 0.3 and P(B) = 0.7, then the value of P(A AND B) = 0.21
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Identify the outlier in the data set. Then find the mean, median, and mode of the data set when the outlier is included and when it is not. 117 211 186 17637275122922283129142197102
SOLUTION:
Case: Outliers in a data set
Given: A set of numbers:
117, 211, 186, 176, 372, 7, 51, 229, 222, 83, 129, 142, 197, 102.
Required:
A) Identify the outliers
B) Mean with outliers
C) Median with outliers
D) Mode with outliers
E) Mean without outliers
F) Median without outliers
G) Mode without outliers
Final Answers
A) The outliers
First we arrange the data:
7, 51, 83, 102, 117, 129, 142, 176, 186, 197, 211, 222, 229, 372
Now we select the outliers
Because of the space in the data, the suspected outliers are:
7
because it is far from the central values
B)
The mean with outliers
[tex]\begin{gathered} mean=\frac{7+51+83+102+117+129+142+176+186+197+211+222+229+372}{14} \\ Mean=\text{ 158.9} \end{gathered}[/tex]C)
Median with outlier
Median = (142+176)/2
Median= 159
D) Mode with outlier
This data has no mode
E) Mean without outlier
51, 83,102, 117, 129, 142, 176, 186, 197, 211, 222, 229, 372
[tex]\begin{gathered} Mean=\text{ }\frac{51+83+102+117+129,+142+176+186+197+211+222+229+372}{10} \\ Mean=\text{ 170.5} \end{gathered}[/tex]F) Median without outlier
Median = 176
G) Mode without outlier
The data has no mode
6. A line goes through these two points, (-4, -1) anti (-9,-5).A. Find an equation for this line in point slope form.B. Find the equation for this line in slope intercept form. Be sure to show your work.C. If the y-coordinate of a point on this line is 7, what is the x-coordinate of this point?
A. In order to find the equation, first we need to find the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]m is the slope
(-4, -1)=(x1,y1)
(-9,-5)=(x2,y2)
we substitute the values
[tex]m=\frac{-5+1}{-9+4}=\frac{-4}{-5}=\frac{4}{5}[/tex]then we use the point-slope form
[tex]y-y_1=m(x-x_1)[/tex]we substitute the values
[tex]y+1=\frac{4}{5}(x+4)[/tex]B. in order to find the slope-intercept form we need to isolate the y
[tex]y=\frac{4}{5}x+\frac{11}{5}[/tex]C. if the y coordinate is 7
[tex]7=\frac{4}{5}(x)+\frac{11}{5}[/tex]then we isolate the x
[tex]\frac{4}{5}x=7-\frac{11}{5}[/tex][tex]\begin{gathered} \frac{4}{5}x=\frac{24}{5} \\ x=\frac{5\cdot24}{5\cdot4} \\ x=6 \end{gathered}[/tex]the value of the x-coordinate is 6 when the y-coordinate is 7
Can you do the bottom please which it says lesson 11.9 - 11.10
1.19)
In general, the area of a rectangle is given by the formula
[tex]\begin{gathered} A=lw \\ l\to\text{ length} \\ w\to\text{width} \end{gathered}[/tex]In our case,
[tex]\begin{gathered} A_A=4\cdot4=16 \\ A_B=3\cdot4=12 \\ A_C=6\cdot2=12 \end{gathered}[/tex]The area of figure A is 16 square units, the area of B is 12 square units and the area of shape C is 12 square units.
As for the area of a rectangle, in general,
[tex]P=2l+2w=2(l+w)[/tex]Then, in the case of each rectangle,
[tex]\begin{gathered} P_A=2(4+4)=2\cdot8=16 \\ P_B=2(3+4)=2\cdot7=14 \\ P_C=2(2+6)=2\cdot8=16 \end{gathered}[/tex]11.10)
Therefore, figures A and C have the same perimeter, whereas rectangles B and C have the same area.
you can help me ??? only 24, 26 and 27
Answer:
∠VYZ = 65
∠VXY = 75
∠WZY = 50
∠XWZ = 80
∠WXY = 150
Explanation:
The angle ∠VYZ and the angle ∠VZY are complementary , meaning they add up to 90 degrees. Since ∠VZY = 25 we have
[tex]undefined[/tex]Subtract 9 1/4 - 4 3/4 . Simplify the answer and write as a mixed number.
Upon subtracting 9 1/4 from 4 3/4 we get 18/4.
Given
9 1/4 - 4 3/4
solution:
[tex]9\frac{1}{4}[/tex] can be written as 37/4 ( 9 * 4 + 1 thus 37/4) and
[tex]4\frac{3}{4}[/tex] can be written as 19/4 ( 4 * 4 + 3 thus 19/4)
37/4 - 19/4 as 4 is the common denominator for both the fractions so take 4 as the denominator
[tex]= \frac{37-19}{4}[/tex] = 18/4 if we further simplify 18/4 = 4.5
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F(x)=1/x g (x)=x-4 can you evaluate (golf)(0)? Explain why or why not.
If f(x) = 1/x and g(x) = x-4 , then (gof)(0) cannot be evaluated as the function becomes not defined .
In the question
it is given that the functions
f(x) = 1/x
and g(x) = x-4
to find g=(gof)(x) ,
(gof)(x) = g(f(x))
= g(1/x) ... because f(x) = 1/x
= 1/x - 4 ....because g(x) = x-4
On simplifying further , we get
= (1-4x)/4x
On substituting x=0 , we get
gof(0) = (1-0)/4(0)
= 1/0
which is not defined , hence cannot be evaluated.
Therefore , if f(x) = 1/x and g(x) = x-4 , then (gof)(0) cannot be evaluated as the function becomes not defined .
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Determine the shape when the following points are graphed one a coordinate plane. A(-3, 1), B(2, 1), C(2, 4), D(-3, 4)
The given points are A(-3, 1), B(2, 1), C(2, 4), D(-3, 4).
The image below shows the figure formed by these points.
As you can observe, the shape formed by the given points is a rectangle with dimensions 5 times 3.
Therefore, the answer is "rectangle".Hello everybody! I would really appreciate it if Somebody could give me the answer for this question and give a brief explanation on how they got it. Look at the photo for instructions!
Recall that the constant of variation of a straight line is the slope of the line.
To compute the slope we will use the following formula for the slope of a line:
[tex]s=\frac{y_2-y_1}{x_2-x_1}\text{.}[/tex]Now, notice that points (-1,3) and (1,-3) are on the line, then substituting these points in the above formula we get:
[tex]s=\frac{3-(-3)}{-1-1}=\frac{6}{-2}=-3.[/tex]Answer: -3.
Which values are solutions to the inequality below?Check all that apply.√x ≤ 5A. 1B. 18C. -5D. 25E. 24F. 625
Given the inequality:
[tex]\sqrt[]{x}<5[/tex]We need to solve the inequality to get a range of values for x.
This we can do by finding the square of both sides:
[tex]\begin{gathered} (\sqrt[]{x})^2<5^2 \\ x<25 \end{gathered}[/tex]On checking the options given, we will pick the numbers that are strictly less than 25.
Therefore, the correct options are:
OPTION A
OPTION B
OPTION C
OPTION F
The original price of a sweater is $48. The sale price is 80%. What is the sale price of the sweater?
Saltarecis a maker of high-end apparel for woman. For market research one afternoon, Saltare’s sales team surveyed adult women at a busy airport on the number of blouses they own. The histogram below summarizes the data. Use the histogram to answer each of the questions
(a)
The class width of the histogram is given by the range of each bar in the histogram, that is, the upper limit minus the lower limit of a bar (plus 1, since we need to include the boundary values of the range).
Looking at the first bar, the upper limit is 19 and the lower limit is 11, therefore the class width is 9 (because there are 9 elements between 11 and 19, so we need to add 1 to the subtraction of 19 and 11)
(b)
The most frequent class is the third one (third vertical bar).
The frequency of this bar (that is, the value in the y-axis) is equal to 8.
Therefore 8 women are in this class.
(c)
The number of women with 28 or fewer blouses is given by the frequency of the first two bars.
Adding the frequency of the first bar (1) and the frequency of the second bar (5), we have that 6 women have 28 or fewer blouses.
The chart below shows how many newspapers each person stacked. Which operation would be used to find the total number of newspapers Diane stacked?
Answer:
Where's the chart?
Step-by-step explanation:
The table below shows the average price of a Miami Marlins baseball ticket between 2006 and 2021.
By evaluating the equation in x = 2040, we can estimate the price to be $1507.7.
How to evaluate the equation?To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
Given that,
We know that the equation:
y = 1.83*x - 2225.5
Models the relationship between the year, x, and the average ticket price of a Miami Marlins baseball ticket.
We know that this relationship works for the years 2006 to 2021, but can be used to estimate the price for years after and before that.
if we use x = 2040
we will get
y = 1.83*2040 - 2225.5 = 1507.7
Hence, The price will be 1507.7, in dollars, of a game in the year 2040.
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Write the equation of a line the goes through point
(3,-4) and is perpendicular to the line x = 1.
keeping in mind that x = 1 is just a vertical line, Check the picture below.
1. Which fraction equals a repeatingdecimal?530АC503013B.1325D1013
5/30 = 1/6 = 0.16666667
13/25 = 0.52
30/50 = 3/5 = 0.6
13/10 = 1.3
As you can see the fraction which is equal to a repeating decimal is:
5/30 = 1/6 = 0.16666667
Help math help math
What is the answer
The ratio 25 : 15 as a fraction in the simplest form can be written as 5/3.
What is ratio?The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. Ratio are represented in the following way - a : b, c : d etc
Given is 25 to 15.
We can express this ratio as a fraction in the simplest form as -
25 : 15 = 25/15
Now, we have to ensure that only whole numbers are their in the numerator and denominator. So in simplest form, we can write -
25 : 15 = 25/15 = (5 x 5)/(5 x 3) = 5/3
Simplest form in fraction will be 5/3
Therefore, the ratio 25 : 15 as a fraction in the simplest form can be written as 5/3.
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The endpoints of diameter in a circle form an angle with point C. What is the measure of angle BCD?
Answer:
90 degrees
Explanation:
Please note that whenever a triangle is inscribed in a circle and one side of the triangle is a diameter of the circle as in the given figure, then the angle that is opposite the diameter of the circle is a right angle;
[tex]\therefore\angle BCD=90^{\circ}[/tex]To find the length of a side, a, of a square divide the perimeter, P by 4. Use the above verbal representation to express the function s, symbolically, graphically, and numerically.
Solution
- We are told to find the numerical, graphical, and symbolic expression for the side of a square, s, given its perimeter, P
Symbolic Representation:
- The symbolic representation simply means the formula we can use to represent the side of a square given its perimeter, P.
- The side of a square is simply the perimeter P divided by 4.
- Symbolically, we have:
[tex]\begin{gathered} s=\frac{P}{4} \\ \text{where,} \\ s=\text{side of the square} \\ P=\text{Perimeter of the square} \end{gathered}[/tex]Numerical Representation:
- We are given a set of numbers to create a table given some numbers for P.
- We are given a set of values for P: 4, 8, 10, 12.
- We can use the formula in the symbolic representation to find the corresponding values of s.
[tex]\begin{gathered} \text{When P = 4:} \\ s=\frac{4}{4}=1 \\ s=1 \\ \\ \text{When P=8:} \\ s=\frac{8}{4}=2 \\ s=2 \\ \\ \text{When P=10:} \\ s=\frac{10}{4}=2.5 \\ s=2.5 \\ \\ \text{When P=12:} \\ s=\frac{12}{4}=3 \\ s=3 \end{gathered}[/tex]- Now that we have the values of P and the corresponding values of s, we can proceed to create a table of values as the question asked of us.
Amy’s grandmother is exactly 6 times older than Amy.
Which three statements below must be true?
The three statements that are true include:
Amy's age is a factor of the age of her grandmother.
The age of Amy's grandmother is a composite number.
The number 6 is a factor if the age of Amy's grandmother.
What is a factor?A factor simply means a number that can be multiplied by another number to get the original number.
Let's say Amy is 10 years. The grandmother will be 69 years. In this case, 10 is a factor of 60. Therefore, Amy's age is a factor of the age of her grandmother.
The complete options are given below.
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Which three statements below must be true?
1.The age of Amy’s grandmother is a prime number.
2.Amy’s age is a factor of the age of her grandmother.
3.The age of Amy’s grandmother has exactly two factors.
4.The age of Amy’s grandmother is a composite number.
5.The number 6 is a factor of the age of Amy’s grandmother.
6.The age of Amy’s grandmother has exactly four factors.
Andre and Lin are discussing whether it is possible to define latitude and temperature in a way that makes sense to talk about temperature as a function of latitude. They are considering different options. Here are the options: a. Finding the temperature right now in cities with different latitudes b. Finding the daily high temperature at cities that have different latitudes c. Finding the average high temperature in a specific month, e.g., September, at cities that have different latitudes d. Finding the average yearly temperature at cities that have different latitudes None of these options are perfect. All have flaws. Choose one option and give the advantages and disadvantages of the option for talking about temperature as a function of latitude. Answer in the space below
All answers are kind of similar and none of these options are perfect.
We are going to chose the opcion b, the advantage is that the daily high temperature at cities give us a statistical sample about how latitude impact the temperature and how is the clime in those days.
Disadvantages is that we dont know the lower temperature and how the latitude impact in this case.
Explain why m<1>m<3.which statement below can be made, according to the corollary to the Triangle Exterior Angle Theorem?
In the given image you have that m∠1 is lower than angle m∠3 becasue it is clear that angle ∠1 is an angle greater than 90° and angle ∠3 is lower than 90°. Then m∠1 > m∠3.
Now, in order to determine which of the given statements is true for the given figure, you take into account that the exterioir angle theorem stablishes that the measure of an exterior angle of the triangle is greater that any of the measure of the remote interioir angles of the triangle.
Thus, you can notice that the measure of the external angle ∠1 is greater than the measure either angle ∠4 or angle ∠2.
Hence, following statement is true:
m∠1 > m∠4 and m∠1 > m∠2
RATIOS, PROPORTIONS, AND PERCENTSCalculating income taxTeresa made $20,000 in taxable income last year.Suppose the income tax rate is 10% for the first $7500 plus 16% for the amount over $7500.How much must Teresa pay in income tax for last year? I need help with this math problem.
We need find the tax on the first 7500
7500 * 10%
7500 * .10 = 750
Now we find the tax on what is over 7500
20000 -7500 =12500
The tax rate for this amount is 16%
12500 * 16%
12500 * .16
2000
Add the tax for both amounts together
750 + 2000
2750
The total tax paid is 2750
a can of juice is 5.5 inches high and its base has a diameter or 6 inches what is the volume of the can? round to the nearest hundredth
According to the problem, the can of juice has the form of a cylinder, so we have to use the following formula
[tex]V=\pi(r)^2h[/tex]Where the radius is half the diameter, r = 3 in, h = 5.5 in, and pi = 3.14. Replacing these values, we have
[tex]V=3.14\cdot(3in)^2\cdot5.5in=155.43in^3[/tex]Hence, the volume of the can is 155.43 cubic inches.URGENT!! ILL GIVE
BRAINLIEST!!!!! AND 100 POINTS!!!!!
Answer:
√52
Step-by-step explanation:
[tex] \sqrt{ {(4 - ( - 2))}^{2} + {(1 - ( - 3))}^{2} } [/tex]
[tex] \sqrt{ {6}^{2} + {4}^{2} } = \sqrt{36 + 16} = \sqrt{52} [/tex]
Graph the functions on the same coordinate plane.f(x) = −5g(x) = x^2 + 2x − 8What are the solutions to the equation f(x) = g(x)? Select each correct answer.−5−3−113
ANSWER
[tex]\begin{equation*} -3,1 \end{equation*}[/tex]EXPLANATION
The graphical solution to the given equation is obtained at the points where the two graphs of the two functions intersect each other on the coordinate plane.
To graph f(x), we simply draw a straight horizontal line at the point y = -5.
To graph g(x), we have to find coordinate points by substituting values of x into the function and obtaining values for g(x).
Let us find the value of g(x) when x = -3, -1, 1:
[tex]\begin{gathered} x=-3: \\ g(-3)=(-3)^2+2(-3)-8=9-6-8 \\ g(-3)=-5 \\ x=-1: \\ g(-1)=(-1)^2+2(-1)-8=1-2-8 \\ g(-1)=-9 \\ x=1: \\ g(1)=(1)^2+2(1)-8=1+2-8 \\ g(1)=-5 \end{gathered}[/tex]Now, we have three points to plot the graph with: (-3, -5), (-1, -9), (1, -5)
Let us now plot the graphs of the functions:
Therefore, the solutions to the equation f(x) = g(x) are:
[tex]\begin{gathered} x=-3,x=1 \\ \Rightarrow-3,1 \end{gathered}[/tex]I need help ASAP
Jeannette is participating in a hot-dog-eating contest. She has already eaten 18 hot dogs but needs to eat more than 35 hot dogs to win. Jeannette is eating 2.6 hot dogs per minute. Which of the following inequalities could be used to solve for x, the number of minutes Jeannette needs to continue eating hot dogs to win the contest
A.
2.6x > 35
B.
2.6x - 18 > 35
C.
2.6x > 18
D.
2.6x + 18 > 35
Answer:
I may be wrong but I think it's D.
Step-by-step explanation:
I made an educated guess.
11. The table lists postage for letters weighing as much as 3 oz. You want to mail a letter that weighs 1.7 oz.Graph the step function. How much will you pay in postage?Weight Less ThanPrice1 oz422 oz66903 Oz
In the table says that every letter that weighs less that 1 oz. have a price of 42, in the graphic we represented that in this part:
Following the data in the table as above we got the final graphic.
And for the question:
If you have a letter that weighs 1.7 oz. it will be more than 1 oz. but less than 2 oz. so you will pay 66, as we can see in the following graphic:
4. A 5% tax is added onto a $75 online order. How much are the taxes?
We have the following:
We know that 100% is the value of the purchase of $ 75, therefore, if we add 5%, it would be 105%, that is equal to 1.05, so we multiply the value of 75 by 1.05, and we are left with the following
[tex]\begin{gathered} 75\cdot1.05=78.75 \\ 78.75-75=3.75 \end{gathered}[/tex]Total value is $78.75 and taxes are 3.75
Two systems of equations are given below For each system, choose the best description of its solution If applicable, give the solution 7 System The system has no solution The system has a unique solution 5x-*= -1 5x+y=1 The system has infinitely many solutions Systeme The system has no solution The system has a unique solution: *+ 2y 13 -* + 2y = 7 The system has infinitely many solutions.
If we sum both equations, we have the next result:
[tex]0\text{ = 0}[/tex]Since we have this, we can say that the system has infinite solutions. We sum both equations, and we finally get that 0 = 0. In this case, the system has infinite solutions.
All these solutions are expressed by (solving for y):
[tex]y=\text{ 1 + 5x}[/tex]For example, for a value of x = 1, y is a function of x; then, y = 1 + 5 = 6, or (1, 6), and so on.
For the next system of equations:
[tex]\begin{gathered} x\text{ + 2y = 13} \\ -x\text{ + 2y = 7} \end{gathered}[/tex]Adding both equations, we finally have:
[tex]4y\text{ = 20}\Rightarrow\text{ y = 5}[/tex]Then, solving for x, we have (using the first equation):
[tex]x\text{ + 2(5) = 13 }\Rightarrow x\text{ = 13 - 10 }\Rightarrow x\text{ = 3}[/tex]Then, this last system has a unique solution, which is (3, 5) or x = 3 and y = 5.
