In order to find the price increase multiply by 1 and add the 7%,
[tex]\begin{gathered} 74.29\cdot(1+0.07) \\ 74.29\cdot1.07 \\ 79.4903 \end{gathered}[/tex]then, apply the same to subtract the 7%
[tex]\begin{gathered} 79.4903\cdot(1-0.07) \\ 79.4903\cdot(0.93) \\ 73.925\approx73.93 \end{gathered}[/tex]Please help me!!!! Worth 20 points
In the probability distribution table x=76 and p(x) is 0.3.
Here X is a random variable. P(X) is its probabilities corresponding to the different values of X.
now according to the properties of probability theory we know that sum of probabilities is 1.
so here to find the value of the probability of X corresponding to the value 76 we should use the following steps:
sum of given probabilities =(0.4+0.2+0.1) = 0.7required probability = 1 - sum of given probabilities = 1 - 0.7 = 0.3What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of random events. The value is expressed from zero to one. The calculus of probability is introduced in mathematics to predict the probability of events occurring. Probability basically means the degree to which something is likely to happen. It is a basic theory of probability that is also used in probability distribution, where the probability of the result of a random experiment is studied. To determine the probability of an event, we should first know the total number of possible outcomes.
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Which subset of real numbers is the best one to use to describe discrete data?numbers of students in a school district, the number of home runs hit by a baseball team, etc..,
GIVEN
The subset that best describes discrete data.
SOLUTION
Discrete data is a count that involves integers — only a limited number of values is possible.
Discrete data includes discrete variables that are finite, numeric, countable, and non-negative integers. These data are usually prefixed by "the number of..."
Whole numbers are the best for describing discrete data.
ANSWER
Whole numbers are the best subset of real numbers to describe discrete data.
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:
The three options you would pick is
y2 – 5y = 750
750 – y(y – 5) = 0
(y + 25)(y – 30) = 0
Step-by-step explanation:
Hope this helps! :))
Sophie can type 129 words in 3 minutes. How many minutes will it take her to type 559 words?
EXPLANATION:
To solve the exercise we must make a rule of three.
The exercise is as follows:
[tex]\begin{gathered} 129\text{ }words\text{ }\rightarrow3\text{ minutes} \\ 559\text{ words}\rightarrow x \\ \frac{559\times3}{129}=13\text{ minutes} \\ \text{the answer is 13minutes} \end{gathered}[/tex]Two angles are supplementary. The measure of one angle is 54 more than the measure of the other angle. What is the measure of the bigger angle?
The measure of the bigger angle is 117°
What are Supplementary Angles?
Two angles are said to be supplementary if their sums total 180 degrees.
Let, x be the angle
and, x + 54 other angle measure.
we know, sum of Supplementary angle is 180°
so, the equation will be
x + (x + 54) = 180°
2x + 54 = 180
2x = 180 - 54
2x = 126
x = 63°
x + 54 = 63 + 54 = 117°
Therefore, The measure of the bigger angle 117°
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What is the area of a triangle whose vertices are D(1, 1), E(3, -1), and F(4, 4)?
Enter your answer in the box.
Answer:
6
Step-by-step explanation:
Trust
mad elf is a holiday beer that is 11.0% abv. a 12 oz bottle of mad elf has 300 calories. the rest of the calories, other than alcohol, come from carbohydrates. approximately how many grams of carbohydrates are in mad elf?
The bottle contains 9.36 g of carbohydrates.
We have,
12 oz bottle contains 300 calories
We know, 1 oz = 23.35 g
12 oz = 12 * 23.35 g =280.2 g of bottel
Alcohol content = 11 %
So, the total number of alcohol in the bottle is [tex]\frac{11}{100} *280.2 = 30.8 g[/tex]
So, the bottle contains 30.8 g of alcohol.
1 gram of alcohol 7 cal of energy,
So, 30.8 g of alcohol = 7 * 30.8 cal of energy
= 215.7 cal of energy
So, out of a total of 300 calories of mad elf, 215.7 calories come from alcohol.
So, (300-215.7 ) = 84.3 calories come from carbohydrates.
Each gram of carbohydrate produces 9 calories of energy.
9 calories of energy from 1 gram of carbohydrate,
1 calorie of energy from 1/9 of carbohydrate.
So, 84.3 calories from [tex]\frac{1}{9}*84.3 = 9.36 g[/tex]
Hence, the bottle contains 9.36 g of carbohydrates.
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a large industrial firm purchases several new word processors at the end of each year, the exact num- ber depending on the frequency of repairs in the previ- ous year. suppose that the number of word processors, x, purchased each year has the following probability distribution: x 0 1 23 f(x) 1/10 3/10 2/5 1/5 if the cost of the desired model is $1200 per unit and at the end of the year a refund of 50x2 dollars will be issued, how much can this firm expect to spend on new word processors during this year?
The money which is expected to spend on new word processors during this year is
The probability distribution is
x: 0 1 2 3
f(x) [tex]\frac{1}{10}[/tex] [tex]\frac{3}{10}[/tex] [tex]\frac{2}{5}[/tex] [tex]\frac{1}{5}[/tex]
If the cost of the desired model is $1200 per unit and at the end of the year a refund of 50x2 dollars
So total money spent in this year is [tex]1200x-50x^2[/tex]
Then the equation of expenses will be
[tex]\text{Expenses}=E(1200x-50x^2)[/tex]
We can rewrite it as
[tex]\text{Expenses}=E(1200x)-E(50x^2)[/tex]
[tex]\text{Expenses}=1200E(x)-50E(x^2)[/tex] -----------------(1)
Now the mean of the probability distribution is ,
[tex]E(x)=\sum_{ }^{ }((x_i)(f(x_i))\\=(0\times\frac{1}{10})+(1\times\frac{3}{10})+(2\times\frac{2}{5})+(3\times\frac{1}{5})\\=\frac{3}{10}+\frac{4}{5}+\frac{3}{5}\\\\=\frac{3+8+6}{10}\\\\=\frac{17}{10}\\\\=1.7[/tex]
The variance of the function is
[tex]E(x)=\sum_{ }^{ }(x_i^2)(f(x_i)[/tex]
[tex]=(0^2\times\frac{1}{10})+(1^2\times\frac{3}{10})+(2^2\times\frac{2}{5})+(3^2\times\frac{1}{5})[/tex]
[tex]=\frac{3}{10}+\frac{8}{5}+\frac{9}{5}[/tex]
[tex]=\frac{37}{10}[/tex]
[tex]=3.7[/tex]
On substituting the values in equation (1)
[tex]\text{Expenses}=1200E(x)-50E(x^2)[/tex]
[tex]=1200(1.7)-50(3.7)^2[/tex]
[tex]=2040-684[/tex]
[tex]=1855[/tex]
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when the proper fraction $\frac{n}{37}$ is written as a repeating decimal, the sum of the first $40$ digits to the right of the decimal point is $236$. what is $n$?
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972
What is decimal?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
A fraction expressed in a particular way is called a decimal. As an alternative to expressing 1/2, you might write 0.5 instead, with the zero in the ones place and the five in the tenths position.
n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972
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State if there appears to be a positive correlation, negative correlation, or no correlation. When there is a correlation, identify the relationship as linear or nonlinear.
Answer:
Negative Correlation:
Linear relationship
Explanation:
We can draw the line of best fit through the points given, and this indicates that the relationship is linear. Furthermore, the line of best fit has a negative slope (which tells us that if one variable increases, the other decreases); therefore, the data set has a negative correlation
explain why the solution to the equation |x-2|-1=x+3 is 1
[tex]|x-2|-1=x+3\rightarrow|1-2|-1=1+3\rightarrow1-1=4\rightarrow0=4[/tex]
The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?
A) 1/5
B) 1/2
C) 2
D) 5
Answer:
A
Step-by-step explanation:
the rate of change of y with respect to x.
that is the regular slope of the linear function, which is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.
from (5, 2) to (10, 3)
x changes by +5 (from 5 to 10)
y changes by +1 (from 2 to 3)
the slope or rate of change is
+1/+5 = 1/5
8. On a school basketball team, 13 out of 16 students are in Grade 8.
a) Write a proportion that you could use to calculate the percent of the students who are in Grade 8.
Please help this is urgent your effort is appreciated
Answer:
3
Step-by-step explanation:
in order to determine an interval for the mean of a population with unknown standard deviation, a sample of 59 items is selected. the mean of the sample is determined to be 32. what is the associated number of degrees of freedom for reading the t value?
The associated number of degrees of freedom for reading the t-value is 58.
The aim is to determine an interval for the mean of a population.
The standard deviation is unknown to us. The sample consists of 59 items. The mean of the sample is determined to be 32. We need to calculate the associated number of degrees of freedom for reading the t value.
We know that the degree of freedom is one less than the number of items in the sample space.
The associated number of degrees of freedom for reading the t-value is 59-1.
The associated number of degrees of freedom for reading the t-value is 58.
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for anyone that knows how to do this i only need help with these two questions
-4x-1=-y
solve for y
-4y+20+3x=0
solve for y
[tex]-4x-1=-y\\y[/tex]
Flip the equation:
[tex]-y=-4x-1[/tex]
Divide both sides by -1:
[tex]\frac{-y}{-1} =\frac{-4x-1}{-1}[/tex]
[tex]y=4x+1[/tex]
__________________________________________________________
[tex]-4y+20+3x=0\\y[/tex]
Add -3x to both sides of the equation:
[tex]3x-4y+20+-3x=0+-3x\\-4y+20=-3x[/tex]
Add -20 to both sides of the equation:
[tex]-4y+20+-20=-3x+-20\\-4y=-3x-20[/tex]
Divide both sides by -4:
[tex]\frac{-4y}{-4} =\frac{-3x-20}{-4}[/tex]
[tex]y=\frac{3}{4} x+5[/tex]
How can the rate of a reaction be decreased?
O adding a catalyst
O lowering the temperature
O increasing the amount of reactants
O having more surface area
Use square roots to solve the equation x2 = –64 over the complex .numbers. Select any solutions that apply.
an 8i
b -8
c -8i^2
d -8i
[tex]x^2=-64\implies x=\sqrt{-64}\implies x=\sqrt{-1\cdot 64}\implies x=\sqrt{-1}\cdot \sqrt{64} \\\\\\ x=\sqrt{-1}\cdot 8\implies x=i\cdot 8\implies x=8i[/tex]
(6x10^2)/(3x10^-5) standard form
Answer:
2×10^7
Step-by-step explanation:
cuz 3:6 is 2 and 10^2÷10^-5 equals 10⁷
Answer:
2×10^7
Step-by-step explanation:
6×10²/3×10^5
6/3×10²-10^-5
2×10²-^(-5)
2×10²+^5
2×10^7
rate as brainliest
Which expression represents the quotient of d and 11d÷11d×11d-11d+11
Answer:
A. d ÷ 11
Explanation:
The quotient of two terms is the division of the first term by the other term.
If we say the quotient of d and 11, we write it mathematically as:
[tex]d\div11[/tex]The correct choice is A.
Angle classification/relationships
Angles are another way to categorize triangles. Each of the three angles in an acute triangle is acute (less than 90 degrees). One right angle and two acute angles make up a right triangle. Additionally, an obtuse triangle has two acute angles and one obtuse angle (greater than 90 degrees).
What does the triangle's angle relationship mean?
Angles and sides in relation to one another The biggest side and angle in any triangle are in opposition to one another. The smallest side and angle in every triangle are on opposing sides. The middle side and middle angle are always in opposition to one another in triangles.
A congruent triangle ,
if all of two triangles' sides match, then they are said to be congruent.
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Write an equation in slope-intercept form of the line that passes through the given points. PLEASE HELLLPPPPPPPPP.....
The equation of the table in slope intercept form is y = - 5 / 2x - 1
How to write equation in slope intercept form?Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.
But the equation of the table below will be represented in slope intercept form.
The equation in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, using (-4, 9)(-2, 4)
m = 4 - 9 / -2 + 4
m = - 5 / 2
Hence, let's find the y-intercept using (0, -1)
y = - 5 / 2x + b
-1 = - 5 / 2(0) + b
b = -1
Therefore, the equation is y = - 5 / 2x - 1
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An archeologist in Turkey discovers a spear head that contains 85% of its original amount of C-14. k = 0.0001 Find the age of the spear head to the nearest year.
The age of the spear head is found to be 1625 years.
What is the age?Let us recall that the age of the sample can be determined by the use of radiometric dating. Let us now define the variables;
The constant of the decay (k) = 0.0001
The amount of the sample originally present (No) = No
The amount of the sample at time t = 0.85No
t = The age of the sample
Given that;
N= Noe^-kt
N/No = e^-kt
0.85No/No = e^-0.0001t
0.85 = e^-0.0001t
ln0.85 = -0.0001t
t = ln0.85/ -0.0001
t = 1625 years
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Samples of airline departure times are obtained and compared to the scheduled departure times. Major airlines are compared and their mean delay times are recorded. Identify the null and alternative hypotheses for applying an analysis of variance.
A null hypothesis is directly opposed by an alternative hypothesis. As a result, if either one of the two theories is accurate, the other is untrue.
What is the difference between null and alternative hypotheses?In statistical hypothesis testing, null and alternate hypotheses are utilized. The null hypothesis of a test always predicts no effect or no association between variables, but the alternative hypothesis reflects the effect or relationship that your research predicts.
A null hypothesis is directly opposed by an alternative hypothesis. As a result, if either one of the two theories is accurate, the other is untrue.
Based on the study question or issue that they are attempting to solve, the analyst or researcher develops a null hypothesis. The null may be distinguished in many ways depending on the question.
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The sizes of two matrices A and B are given. Find the sizes of the product AB and BA, whenever these products exist.A=3*2, B=2*3
Let's begin by identifying key information given to us:
A is a 3 x 2 matrix
B is a 2 x 3 matrix
AB is the product of 3 x 2 matrix & 2 x 3 matrix. We obtain a 3 x 3 matrix
Therefore, the size of the product of A & B (that is AB) is a 3 x 3 matrix whenever these products exist
X=
//////////////////////////
Answer:
x = 15
Step-by-step explanation:
150+3x-15=180 because of same-side interior angles therorem.
Then, we solve the problem to get 15.
Hope this helped! :)
the sides of a rectangle are in the ratio 4:5.If the breadth is 10cm find the length of the rectangle
Answer:
If breadth means width then it will be 12.5
Please help i really need help please
Answer:
plane CGF and ABC
Step-by-step explanation:
in the graph, the coordinate point (4,-9) is ____in the graph, the coordinate point (1,0) is ____in the graph, the coordinate point (7,0) is ____in the graph, the coordinate point (4,0) is ____the options: an x-intercept, a y-intercept, a vertex, on the line of symmetry
Answer:
In the graph, the coordinate point (4,-9) is a vertex
In the graph, the coordinate point (1,0) is an x-intercept
In the graph, the coordinate point (7,0) is an x-intercept
In the graph, the coordinate point (4,0) is on the line of symmetry.
Explanation:
The x-intercepts are the points where the parabola crosses the x-axis, so the coordinates of the x-intercepts are (1, 0) and (7, 0)
The y-intercept is the point where the parabola crosses the y-axis, so the y-intercept is (0, 7)
The vertex is the minimum point of the parabola, in this case, (4, -9).
The line of symmetry depends on the first coordinate of the vertex, so the line of symmetry is x = 4. It means that any point with a first coordinate equal to 4 is on the line of symmetry.
Then, the answers are:
In the graph, the coordinate point (4,-9) is a vertex
In the graph, the coordinate point (1,0) is an x-intercept
In the graph, the coordinate point (7,0) is an x-intercept
in the graph, the coordinate point (4,0) is on the line of symmetry.
Max and his friends picked apples at an apple orchard. The weight in pounds, each person's bag of apples are listed below.what is the interquartile range, in pounds, of the wait?
Answer:
Choice A. 1.1
Explanation: