Formula data type is used to determine different values based on a variety of fields in the existing table.
It also helps to create a pattern that takes input from all the fields and gives you the final value. Other fields include constants or functions and by using formula data type, you can remove the need to repeatedly enter the same information again and again. It also eliminated the margin of error that could occur during manual entry in the entirety of your work. Formula data type is used to help solve a combination of different equations that have different fields and/or equations.
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−x−2 for −5 -3 for -1
The numeric values of the function f(x) = -x - 2 are given as follows:
x = -5: 3.x = -3: 1.x = -1: -1.How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The function for this problem is defined as follows:
f(x) = -x - 2.
The numeric values are found replacing the lone instance of x by the input value, hence they are given as follows:
f(-5) = -(-5) - 2 = 5 - 2 = 3.f(-3) = -(-3) - 2 = 3 - 2 = 1.f(-1) = -(-1) - 2 = 1 - 2 = -1.Missing InformationThe problem asks for the numeric values for the function f(x) = -x - 2, with inputs x = -5, x = -3 and x = -1.
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ctice
For 12-13, use the figure. A bike path crosses
a road as shown. Solve for each indicated
angle measure or variable.
84°
Online
Assessment and
my.hrw.com Intervention
M
4x
G
Considering the diagram of the bike path crosses the angle measures are calculated to be
x = 21 degrees
< KMH = 96 degrees
How to find the angel measuresAccording to the diagram, the angle at the intersection of the road shows that
84 degrees = 4x
The angles are equal based on the vertical angle theorem
solving for x
84 degrees = 4x
4x = 84
x = 84 / 4 = 21
x = 21 degrees
solving for < KMH
< KMH and 84 are supplementary angles
< KMH + 84 = 180
< KMH = 180 - 84
< KMH = 96 degrees
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Determine whether the variable given is qualitative, quantitative-discrete, or quantitative-continuous. cholesterol level qualitative since this variable would yield numbers quantitative-continuous since this variable would yield numbers that count qualitative since this variable would yield categories quantitative-discrete since this variable would yield numbers that count quantitative-discrete since this variable would yield numbers that measure quantitative-continuous since this variable would yield numbers that measure
At the highest level of discrete value two kinds of data which are exists as quantitative and qualitative.
Quantitative data which deals with numbers and things that can be measure objectively that are dimensions such as height, width, and length. Temperature as well as humidity. Prices. Area and volume. Qualitative data deals with characteristics and descriptors that can't be easily measured, but can also be observed subjectively such as smells, tastes, textures, attractiveness, and color. if we measure something and give it a number value, we create as quantitative data. When we classify or judge something, we create qualitative data. hence the highest level of data are also different types of quantitative and qualitative data. There are two types of quantitative data, which is also said as numeric data of continuous and discrete. in general rule, counts are discrete and measurements are continuous. Discrete data count that can't be made as more precise. Typically it involves the number of integers. For at instance
Continuous data, on the other hand, of variable could be divided and reduced to maximally of finer and finer levels.
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Find the volume of this shape
Answer:
Step-by-step explanation:
The volume on the shape on top is 10x3x8=240
The volume of the shape is 3x5x6=90
The bottom shape is 8x5x2=80
the total volume is 240+90+80=410
A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given:50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45Which of the following histograms is the best representation of the data
Therefore , as a result, the answer to the provided median problem is that the median will range from 38.
Define median.The median value is the number that exactly lies in the middle of a dataset that has been arranged. The gap between the minimum and maximum 50% of the data is a maximum likelihood measure or average. Depending on whether you have an odd or possibly even amount of data points, different formulas are used to calculate the median and mode.
Here,
Given the values:
50,42,32,35,41,44,24,46,31,47,36,32,30,44,22,47,31,56,28,37,49,28.42,38 and 45
The following is what we have: => (50+42+32+35+41+44+24+46+31+47+36+32+30+44+22+47+31+56+28+37+49+28.42+38 + 45) /25 = 37.88
The median will reach around 38.
As a result, the answer to the provided median problem is that the median will range from 38.
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The complete question is "A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given: 50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 The following histogram is a representation of the data. Calculate the median ages"
find dy/dx and d2y/dx2. x = et, y = te−t. For which values of t is the curve concave upward? (Enter your answer using interval notation.)
The curve is concave upward for t values greater than zero, according to the assertion made.
What in mathematics is a curve?Curve, An abstract phrase used to characterize the trajectory of a series of movements particle in mathematics (see continuity). Usually, an equation will create such a route. The term may also be used to describe a linear model or a collection of connected line segments. The IS curve displays combinations of borrowing costs and production levels where anticipated expenditure and income are equal. The many interest and income configurations along which is something the goods market is still in equilibrium are represented by the IS Curve.
dx/dt = e^t
dy/dt = -te^-t + e^-t
so dy/dt X dt/dx = dy/dx= -te^-t + e^-t /e^t = -t e^(-2t) + e^(-2t)
d2y/dx2 = -dt/dx e^(-2t) +2 t e^(-2t) dt/dx -2e^(-2t) dt/dx
= -e^(-3t) +2te^(-3t) -2e^(-3t)
-t e(-2t) + e(-2t) >0 for curved dy/dx >0
=> t<0 the curve is concave.
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given two points, (3,2) and (7,18), determine both the linear and quadratic equations crossing both points. let f(x) and f(k) be the linear and quadratic equation respectively. write both in standard form. write the function in terms of function notation.
The linear equation passing through both points is:
f(x) = 8x - 14 ,the quadratic equation passing through both points is:
[tex]f(k) = -1/28k^2 + 17/14k - 36/7[/tex]
Linear Equation:
f(x) = mx + b
Where, m is the slope and b is the y-intercept.
Calculation:
By substituting the two points (3,2) and (7,18) in the equation, we get:
2 = 3m + b
18 = 7m + b
Solving the equation we get:
m = 8
b = -14
Therefore, the linear equation passing through both points is:
f(x) = 8x - 14
Quadratic Equation:
f(k) = ax^2 + bx + c
Where, a, b and c are constants.
Calculation:
Substituting the two points (3,2) and (7,18) in the equation, we get:
2 = a(3)^2 + b(3) + c
18 = a(7)^2 + b(7) + c
Solving the equation we get:
a = -1/28
b = 17/14
c = -36/7
Therefore, the quadratic equation passing through both points is:
f(k) = -1/28k^2 + 17/14k - 36/7
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What are the 3 steps for solving an absolute value equation?
There are three main steps for solving an absolute value equation isolate the absolute value expression, split the equation into two cases and solve the case.
Isolate the absolute value expression: Start by isolating the absolute value expression on one side of the equation. This can be done by adding or subtracting a constant from both sides of the equation, or by dividing or multiplying both sides of the equation by a constant.
Split the equation into two cases: Once the absolute value expression is isolated, you need to split the equation into two cases: one for when the absolute value is equal to the positive value of the expression inside it, and one for when it is equal to the negative value.
Solve each case: For each case, you will have an equation. Solve it like any other equation and find the solutions.
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Jai has a 28% free throw rate in basketball. That means when he shoots a free throw he makes a basket 28% of the time. Jai shoots 120 free throws in a season. How many baskets is he likely to make? Use benchmark percents of 1% and 10% to help you determine the answer.
Answer:
34 successful free throws out of 120
Step-by-step explanation:
We can use the 28% free throw rate to predict Jai's success in shooting 120 free throws. If the 28% was calculated from throws made under similar circumstances (e.g., during an actual game), then we can predict that he'll also hit 28% of the 120 attempts:
Likely free throw successes = (28%)*(120)
(0.28)*(120) = 33.6 successful free throws out of 120. We need to round 33.6 to the nearest whole number, which makes it 34 successful free throws out of 120.
I need help with these 4 questions
Only questions 1 2 3 4
Answer: 1: x = 2y - 1 This equation shows that the value of x is always 2 times the value of y minus 1.
2: y = 3x + 3 This equation shows that the value of y is always 3 times the value of x plus 3.
3: y = (x/4) - 1 This equation shows that the value of y is always the value of x divided by 4 minus 1.
4: y = x-5 This equation shows that the value of y is always the value of x minus 5.
what conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?
a. the researcher made a mistake because chi-square can never be close to zero
b. there is a large discrepancy between the sample data and the null hypothesis
c. all of the expected frequencies must also be close to zero
d. there is a good fit between the sample data and the null hypothesis
On solving the provided question, we can say that when the test statistic is chi-squared distributed under the null hypothesis, a statistical hypothesis test known as a chi-squared test
What is null hypothesis?A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.
When the test statistic is chi-squared distributed under the null hypothesis, a statistical hypothesis test known as a chi-squared test—more specifically, Pearson's chi-squared test and its variations—is valid to execute.
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SM1 PLEASE HELP ASAP TYSMM
Using commutative property of addition, the expression 3T 1,892 lb + 1,325 lb is equal 4.5T, 217 lb
What is Addition of ExpressionA mathematical procedure called adding expressions entails merging two or more expressions to create a new expression. A reduced version of the original expressions is produced by adding expressions, which works similarly to adding integers.
We merge similar phrases while adding expressions. When a variable is raised to the same power, terms are said to be like terms. Because they both have the same variable (x) raised to the same power, for instance, 2x and 3x are similar phrases (1).
It's crucial to remember that the commutative characteristic of addition ensures that the order of the terms has no impact on the outcome when adding or subtracting expressions.
In conclusion, adding expressions is a mathematical operation that combines two or more expressions to create a new expression; it is comparable to adding integers. We merge similar phrases while adding expressions. When a variable is raised to the same power, terms are said to be like terms. The commutative property of addition accounts for the fact that the outcome is unaffected by the order of the terms.
In this problem, we have two expressions which we need to add together.
NB;
T = tonslb = poundsSo, in the given expression;
3T 1,892 lb + 1,325 lb = 3T 3217lb
But 1 pounds = 0.5 ton
3000 pounds = 1.5 ton
3T 1,892 lb + 1,325 lb = 4.5T, 217 lb
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if 250 ml cost 650 tk, then how much will cost 120 ml ?
results of this simulation after 100 trials of rolling two dice: wins: 16. losses: 84. what proportion of the 100 trials of this simulation were wins? round the answer to two decimal places.
If there are 16 wins and 84 losses in 100 trials of simulation of rolling two dice, then the proportion of wins is 16%.
To determine the proportion of wins in 100 trials of rolling two dice, we need to divide the number of wins by the total number of trials and multiply by 100. In this case, the number of wins is 16 and the total number of trials is 100. So, the proportion of wins would be:
= (16 / 100) × 100
= 16%
So, the proportion of wins in 100 trials of this simulation is 16% and it has been rounded to two decimal places.
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Answer:
0.16
Step-by-step explanation:
Ava 2022
Find X. Show your work.
2(x-6)=12
Answer:
x=6
Step-by-step explanation:
Expand brackets:
2x-12=12
This is because 2 times x=2x and 2 times -6= -12
Add 12 to the right side to cancel out the -12 on the left.
2x-12+12=12
Simplify to get 2x=12
Divide by 2 to get x=6
Amy works for a company that produces plastic lids and cups for restaurants. She wants to use a one-sample zzz interval to estimate what proportion of lids produced in a day have a defect that makes them not fit the cups. She takes a random sample of 100100100 lids from the more than 1{,}0001,0001, comma, 000 total lids produced that day and finds 555 lids in the sample with this defect.
Amy can use a one-sample z-interval to estimate the true proportion of lids in the population of 1,000,000 that have the defect.
What is sample?Sample can refer to an example of a particular item or type of thing. It can also refer to a section of a population that is chosen in order to represent the whole group. When used in research, samples are used to make conclusions about a population as a whole. Samples are also often used to test products or services in order to assess their quality or performance.
First, she will calculate the sample proportion of lids with the defect by dividing the number of lids in the sample with the defect (555) by the total number of lids in the sample (100,000). This sample proportion is 0.00555.
Next, Amy will calculate the standard error of the sample proportion. This is calculated by taking the square root of the sample proportion multiplied by (1 - sample proportion) divided by the sample size. The standard error for this sample is 0.00023.
Finally, Amy can calculate the one-sample z-interval. This is done by subtracting the standard error from the sample proportion and adding it to the sample proportion. This gives a one-sample z-interval of 0.0053 to 0.0058.
This one-sample z-interval tells Amy that she can be 95% confident that the true proportion of lids with the defect in the population of 1,000,000 is between 0.0053 and 0.0058.
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What is the range of the following data set?
34 15 75 81 45 73 97 89 23
Answer: 45
Step-by-step explanation:
the length of the shadow of a bulding.is 15m. the distance from the top of the building to the tip of the shadow is 25m find the height of the building if nessesart round your answer to the nearest tenth
So on solving the provided question we can say that in the equation 15x - y = 25; x = 24/15
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
here,
15x - y = 25
so from provided data we have y = 1
15x - 1 = 25
15x = 24
x = 24/15
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2x + 8 > x + 10 > 3x + 9
The solution of the linear inequality 2x + 8 > x + 10 > 3x + 9 is:
X>2 and X<1/2
What is linear inequalities?When two mathematical expressions or two numbers are compared in an unequal way, it is called an inequality in mathematics. Inequalities can generally be classified as either numerical, algebraic, or a combination of the two. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1, which is the case in a linear inequality, which is an inequality involving at least one linear algebraic expression.
step1:
2x + 8 > x + 10 > 3x + 9
2x+8>x+10 and x+10>3x+9
2x + 8 > x + 10 :X>2
X+10>3X+9:X<1/2
Step2:
X>2 and X<1/2
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Find the center and vertices of the ellipse.
x² + 9y² + 16x - 54y + 136 = 0
The center and vertices of the ellipse x² + 9y² + 16x - 54y + 136 = 0 is
(h,k) = (-8,3) The vertices of the ellipse are (-12,3) and (-4,3), (-8,6), and (-8,0).What is an ellipse?Generally, The standard form of the equation of an ellipse is (x-h)^2/a^2 + (y-k)^2/b^2 = 1, where (h,k) is the center of the ellipse and a and b are the semi-major and semi-minor axes respectively.
To convert the given equation to standard form, complete the square by adding and subtracting constants to both sides: x² + 16x + 81 + 9y² - 54y + 324 = 410
This results in: (x + 8)²/16 + (y - 3)²/9 = 1
Therefore, the center of the ellipse is (h,k) = (-8,3) and the semi-major and semi-minor axes are a = 4 and b = 3.
To find the vertices of the ellipse, substitute the center coordinates into the equation of the ellipse and solve for x and y. Since the semi-major and semi-minor axes are 4 and 3, respectively, the vertices are located at: (h ± a, k) = (-8 ± 4, 3) and (h, k ± b) = (-8, 3 ± 3)
Therefore, the vertices of the ellipse are (-12,3) and (-4,3), (-8,6) and (-8,0).
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Select the correct answer.
What is the value of x in the triangle?
The value of x is 7 from the given figure.
What is Triangle ?
Triangle can be defined in which three sides , three angles and the sum of three angles is always is 180 degrees.
From the given triangle ,
Let the triangle be ABC
where A = 60 and B = 30 and C = 90
CA = 7[tex]\sqrt{3}[/tex]
CB = x .
sin60 = 7[tex]\sqrt{3}[/tex] /x
[tex]\sqrt{3}[/tex] / 2 = 7[tex]\sqrt{3}[/tex] /x
1/7 = 2 * x
x = 7 * 2
x = 14
In triangle ABC ,
AC^2 + CB ^ 2 = AB ^2
7[tex]\sqrt{3}[/tex] ^2 + CB^2 = 14*14
CB^2 = 196 - 149
CB^2 = 49
CB = 7
Hence, The value of x is 7 from the given figure.
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Need help plsssssss!!!!!
Answer:
C. 8 : 1
Step-by-step explanation:
A unit rate is a ratio of a number to one.
To make both sides of the given ratio:
[tex]\dfrac{2}{5} : \dfrac{1}{20}[/tex]
whole numbers (and make the right side 1), simply multiply both sides by the Least Common Multiple (LCM) of the denominators.
To find the LCM of two numbers, list out their prime factorizations and then multiply the highest power of each distinct prime number present.
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5 = 5
20 = 4 * 5
LCM(5, 20) = 4 * 5 = 20
The LCM of 5 and 20 is 20.
Next, we need to multiply 20 by both sides of the ratio.
[tex]20\left(\dfrac{2}{5}\right) : \left(\dfrac{1}{20}\right)20[/tex]
Then, simplify.
[tex]\dfrac{40}{5} : 1[/tex]
[tex]8 : 1[/tex]
So, the unit ratio of [tex]\dfrac{2}{5} : \dfrac{1}{20}[/tex] is 8 : 1.
Help with geometry similar triangles. ABC ~ ___ by _____
Answer choices : EDC, ECD, DCE, CED, or None. Side Side Side, Side Angle Side, Angle Angle, or None.
The triangles ABC and CED are similar by none.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The figure in shown in image.
We know that;
Two triangles are similar if there corresponding sides are in proportion.
So, In triangles ABC and CED;
The ratio of corresponding sides are equal to each other.
Hence, By the options, we get;
The triangles ABC and CED are similar by none.
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7. Describe the rule for each of the tables below:
a.
Row 1
Row 2
Rule:
5
7
7
11
15
37
19
35
29
55
Answer:
Step-by-step explanation:
It is difficult to determine the rule for the table without further context or information. However, based on the pattern in the table, it appears that the rule for generating the second number in each row is to add 2 to the first number in that row. The rule for generating the third number in each row is to add 6 to the second number in that row. The fourth number is the sum of the first and the third number in that row.
Give me a list of rational numbers that are not integers.
Answer:
Step-by-step explanation:
7.8, 7/29, 1234/21, 11.1212, 9.8, 76/1112
Integers can only be positive numbers, negative, non negative or 0.
Find the simple interest paid for 10 years on a 17,000 loan at 7%
The simple interest on 17,000 loan for 10 years will be 11,900
Solution:
As we know, simple interest is the interest amount for a particular principal amount of money at some rate of interest.
Here given ,
Principle (P) = 17,000
Rate of interest (R) = 7%
Time (T)= 10 years
Simple Interest = (RxRxT)/100
Therefore,
S.I. = ( 17,000 x 7 x 10 ) / 100
= 11,900
Hence,
The simple interest at the end of 10 years will be 11,900
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In the diagram alongside, circles O and M intersect at S. RST is a straight line segment such that RST | OM. If OM- 7 cm. determine the length of RT.
Answer:
Step-by-step explanation:
Since the line segment RST is perpendicular to OM, the length of RT can be determined by using the Pythagorean Theorem.
Let RT = x
We know that:
OS = OM - OS = 7 cm
Using the Pythagorean Theorem, we can solve for x:
x^2 = OS^2 + RT^2
x^2 = (7 cm)^2 + x^2
2x^2 = 49 cm^2
x^2 = 24.5 cm^2
x = √24.5 cm = 4.94 cm
Therefore, the length of RT = 4.94 cm
125 five pences in pounds?
Answer:
125 pounds = 2500 five pence
Answer:
Step-by-step explanation
£1.00=100p
125p=£1.25
Identify the graph of the system
Answer:Your mom
Step-by-step explanation:big
The seventh grade class supplied bags of snacks and beverages for the school dance. They supplied 50 more beverages than bags of snacks. The dance was supplied with a total of 400 items. How many of each were supplied.
a) Define the variable(s)
b) Write a system of equations for the situation.
Answer:
a) let 's' = number of bags of snacks
b) let 's+50' = number of bags of beverages
s + s+50 = 400
Step-by-step explanation:
a) let 's' = number of bags of snacks
b) let 's+50' = number of bags of beverages
s + s+50 = 400
solve:
2s + 50 = 400
2s = 350
snacks = 175
beverages = 175+50 or 225
total = 400
