Answer: The multiplicity of a zero determines how the graph behaves at the x-intercepts. The graph of a polynomial will cross the horizontal axis at a zero with odd multiplicity. The graph of a polynomial will touch the horizontal axis at a zero with even multiplicity.
Figure c is similar by
In the figure of triangles given figure C is not similar
Not similar
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
In figure C no information is given about the angles hence they are not similar.
Figure B is similar by Side - Side - Side (SSS) and shows a proportion of 2
Figure D is similar by Side - Angle - Side (SAS), the include angle here are equal by vertical angle theorem
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An ice cream shop sells a small bowl of ice cream for $2.25 and a large bowl for $3. One day, the shop sold 63 bowls of ice cream and made $159. How many of each size bowl did the shop sell?
After using the arithmetic: They sold 40 small bowl of ice cream and 23 large bowl of ice cream.
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the standard operations on numbers—addition, subtraction, multiplication, division, operation, and extraction of roots.
Main body:
Cost of small bowl of ice cream = $2.25
Cost of large bowl of ice cream = $3
Total number of bowls sold = 63
total value = $159
let number of small bowls be x and large bowl be y.
Hence ,
x +y = 63 ---(1)
2.25 x +3 y = 159 ---(2)
from equation 1 substitute the value of x in equation 2 .
2.25 x + 3 (63- x) = 159
2.25 x + 189 - 3x = 159
taking like terms to one side ,
3x - 2.25x = 189-159
0.75x = 30
x = 40
so x = 40 then y = 23.
Hence they sold 40 small bowl of ice cream and 23 large bowl of ice cream.
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what is the initial value and rate of change in y=3x-5
PLESE HELP
Answer:
the rate of change is 3x(slope)
the odds of a particular event occurring is 0.66. determine the probability as a decimal rounded to the nearest hundredth.
The probability of odds as a decimal rounded to the nearest hundredth is 0.398.
The probability of odds is given by the formula -
Probability of odds = probability odds ÷ probability (1 + odds)
Probability odds = 0.66
Probability (1 + odds) = 1 + 0.66
Performing addition on Right Hand Side of the equation
Probability (1 + odds) = 1.66
Keep the values in formula to find the probability of odds
Probability of odds = 0.66/1.66
Performing division on Right Hand Side of the equation
Probability of odds = 0.398
Hence, the probability of odds is 0.398.
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four standard six-sided dice are to be rolled. what is the probability that the product of the numbers on the top faces will be prime? express your answer as a common fraction.
The probability of the product of the numbers present on the top faces of all the four six sided dice is equal to 1/108.
As given in the question,
Number of six sided dice to be rolled = 4
Number of outcomes on one dice = 6
Total number of outcomes of 4 dice = 6⁴
= 1296
Conditions for the product of the numbers of top faces all four dice is prime:
Three dice should have 1 on the top face and fourth one should have prime number less than 6.prime number less than 6 are 2, 3, 5.Each prime number will comes on all the four dices top faces.Favourable outcomes are : ( 1, 1, 1,2), (1,1,2,1), (1,2,1,1), (2,1,1,1),
( 1, 1, 1,3), (1,1,3,1), (1,3,1,1), (3,1,1,1),( 1, 1, 1,5), (1,1,5,1), (1,5,1,1), (5,1,1,1)
Total number of favourable outcomes = 12
Required Probability = 12 / 1296
= 1 / 108
Therefore, the probability of the product of all the four numbers on the top faces of the dice is equal to 1/108.
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What is half of 1 1/3 cups?
Answer:
2/3
Step-by-step explanation:
4/3 or 1 1/2 divided by 2 is equal to 2/3
find the common ratio.
1\text{,}2\text{,}4\text{,}8\text{,}16\text{,}..1,2,4,8,16,...
48\text{,}12\text{,}4\text{, }2\text{,}..48,12,4, 2,...
The common ratios of the sequence are 4 and 1/4
How to calculate the common ratioFrom the question, we have the following parameters that can be used in our computation:
Sequence 1
1, 2, 4, 8, 16,...
The common ratio is the quotient of a term and the previous term
Using the first term and the second term, we have
Common ratio = Second term/First term
Substitute the known values in the above equation, so, we have the following representation
Common ratio = 2/1
Evaluate
Common ratio = 2
Sequence 2
Here, we have
48, 12, 4, 2,...
The common ratio is the quotient of a term and the previous term
Using the first term and the second term, we have
Common ratio = Second term/First term
Substitute the known values in the above equation, so, we have the following representation
Common ratio = 12/48
Evaluate
Common ratio = 1/4
Hence, the common ratio is 1/4
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what is a key distinction between parametric tests and nonparametric tests in terms of scales of measurement? group of answer choices there is no distinction; both types of tests are used to analyze data on any scale of measurement. parametric tests are used for ordinal or interval data, whereas nonparametric tests are used for nominal data only. parametric tests are used for ordinal and nominal data, whereas nonparametric tests are used for interval and ratio data parametric tests are used for interval and ratio data, whereas nonparametric tests are used for nominal and ordinal data.
Key distinction between parametric tests and nonparametric tests in terms of scales of measurement is that parametric tests are used for interval and ratio data and non parametric tests are used for ordinal and nominal data.
i.e., the last given option.
For interval and ratio data, parametric tests are employed, while non-parametric tests are used for ordinal and nominal data
Data containing discrepancies or intervals are displayed in interval data.
The ratio data, which may be added to, subtracted from, multiplied by, or split, is the one in which statistical conclusions are used.
Ordinal data are measurements of quantitative data that are in order, such height and weight.
Nominal data are those that we measure quantitatively but do not require order or sequence, such as hair color or eye color.
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Yuri and Trina sold boxes of cookies. Yuri sold 14 boxes, while Trina sold n boxes. Together, they sold a total of 37 boxes. Which equation represents the number of boxes Trina sold? How many boxes did she sell?(1 point)
n + 37 = 14; Trina sold 23 boxes.
n + 14 = 37; Trina sold 23 boxes.
.
n − 37 = 14; Trina sold 51 boxes.
n − 14 = 37; Trina sold 51 boxes.
Answer: n + 14 = 37; Trina sold 23 boxes
Step-by-step explanation:
Answer:
The equation that represents the number of boxes Trina sold is: n + 14 = 37.
To solve for n, we can subtract 14 from both sides of the equation:
n + 14 - 14 = 37 - 14
n = 23
Therefore, Trina sold 23 boxes.
Step-by-step explanation:
A line intersects the points (4, 3) and (11, -4). What is the slope of the line in simplest form? m = [?]
Answer: M=1
Step-by-step explanation:
hope this help!
How do you write 2 4/5 as a decimal?
Answer:
2.8
Step-by-step explanation:
Set aside the 2 for now.
Divide 4÷5=0.8 NOTE: Order Matters!!
Add: 2 + 0.8 = 2.8 (Just put the 2 to the Left of the decimal.)
ompany x produces canned soup in batches of 100. they believe that the percent of defenctive cans of soup is 2%. if in 5 batches, the percent of defective cans were 3%, 8%, 1%, 2%, and 7%, how many of these fell outside of the upper or lower control limits for the proportion of defective cans of soup in the batch?
A process is said to be out of control if proportion of defective lies outside the control limits. Since 8% and 7% are outside our upper control limit (UCL) So, 2 batches are defective.
Given that,
100-piece batches of canned soup are produced by Company X. They estimate that there are 2% faulty soup cans in circulation.
We have to find how many of the 3%, 8%, 1%, 2%, and 7% defective can percentages in the five batches fell beyond the higher or lower control limits for the percentage of defective soup cans in the batch.
We know that,
LCL= p-3√(p(1-p)/n)
=0.02-3√(0.02(1-0.02)/100)
=-0.022
Since probability can not be negative.
LCL=0
UCL= p-3√(p(1-p)/n)
=0.02-3√(0.02(1-0.02)/100)
=0.062
Therefore. A process is said to be out of control if proportion of defective lies outside the control limits. Since 8% and 7% are outside our upper control limit (UCL) So, 2 batches are defective.
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United Parcel Service has contracted you to design an open box with a square base that has a volume of 5000 cubic inches. Express the surface area S of the box as a function of x.
The surface area of the box as a function of x will be f(x) = x² + 20000/x² where x is the length of the square base's edge.
Here it is given that the box has a square base.
This implies that length = breadth
Now, the volume of a box = lbh = 5000 cu in
where l is the length of the box. b is the breadth of the box, and h is the height of the box.
or, x²h = 5000
or, h = 5000/x²
Let the surface area function be f(x) where x is the length of the edge of the square base.
Since the box is open, the surface area will be
lb + 2bh + 2lh
= x² + 10000/x² + 10000/x
= x² + 20000/x²
Hence the surface area as a function of x will be
f(x) = x² + 20000/x²
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simplify p=sqrt5.2^3
Answer:
11.857
Hope this helps!
Answer: p≈11.86
Step-by-step explanation:
[tex]p=\sqrt{5.2^3} \\\\p=\sqrt{5.2^2(5.2)} \\\\p=5.2\sqrt{5.2}\\\\p\approx5.2(2.28)\\\\p\approx11.86[/tex]
fill in the numbers resulting from the indicated operation: 2 −1 −4 7 3 4 5 5 −1 2 1 −1 2 −1 −4 7
The numbers resulting from the indicated operation:
-1 2 1 -1
3 4 5 5
What is number?A number is a numerical value that is used to represent quantity. Hence, a number is a mathematical concept used to count, measure, and label. Thus, numbers form the basis of mathematics. A number is an arithmetic value used for representing the quantity and used in making calculations. Numericals are written symbols that represent numbers, such as "3." A number system is a writing system for representing numbers using digits or characters in a logical manner. Numbers are used to count, measure, and compare quantities. A number system is a set of symbols, or numerals, that are used to represent numbers.
Here,
The numbers resulting from the indicated operation:
-1 2 1 -1
3 4 5 5
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Answer:
-1 2 1 -1
3 4 5 5
please help !
Find The Value Of X.
Answer:
x = 65 degrees
Step-by-step explanation:
Let's say z=the angle adjacent (next to) to the 145 degrees angle.
80 + x + z = 180 ==> 180 is the total number of degrees in a triangle
z + 145 = 180 ==> In addition, if you add up Angle z and 145
degrees, you get a straight line which totals to 180
degrees
z + 145 - 145 = 180 - 145 ==> solve for z
z = 35 degrees
80 + x + z = 180
80 + x + 35 = 180 ==> plug in 35 for z
80 + 35 + x = 180
115 + x = 180 ==> solve for x
115 - 115 + x = 180 - 115 ==> simplify
x = 65 degrees
John deposits $ 8,000 in a certificate of deposit that pays .8% interest, compounded semi-annually. How much interest does the account earn in the first six months? What is the balance after a year.
The required interest earned in the 6 months is $320 and the balance after a year is $8,652.8.
Given that,
John deposits $ 8,000 in a certificate of deposit that pays .8% interest, compounded semi-annually.
Investment is defined as when an individual is spend money on something that returns him or her higher money than the money they or invest.
Here,
Interest earned in the 6 months,
= 8000 [0.08/2]
= $320
Balance after a year,
Amount = principal [1 + rate/n]ⁿ
= 8000[1 + 0.08/2]²
= $8652.8
Thus, the required interest earned in the 6 months is $320 and the balance after a year is $8,652.8.
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Please help me Limited time I’ll give brainliest
Answer: C - I agree
D - Square root 50 lies between integers 7 and 8
E - Find the closest integer to 40
Step-by-step explanation: C - 7/9 will be 0.77777778 which you can simplify to 0.777
D - The square root of 50 is 7.07106781187 so it is between the integers 7 and
E - The square root of 40 is 6.32455532034 which so find the clossest integer to 40
Question attached through files! Can anyone help?? Thank you!
Answer:
(-1.732,0) and (1.732,0)
Step-by-step explanation:
Ignore f(x). The solutions are also called x-intercepts and zeros. So the solutions would be where the parabola crosses the x axis. In my answer ignore the 0 in the coordinates. Just put in the -1.732 and 1.732.
Need a response bias question. So i have a Statistics project where I need to interview people at my school with a certain response bias question. Can anyone come up with any ideas?? also using random assignment or sample?
Answer:
Response bias would be something where answers would be skewed one way or another because of the way you asked. So maybe ask something embarrassing for someone to admit, like asking random students if they pick their nose. Some people will answer truthfully as no, and the people who do will likely also say no because they do not want to tell you that.
evaluate.−|a b|2−c when a=4 , b=−1 , and c=−3
When a=4, b=1, and c=3, the value of the given expression, which is |a-b|²-c, is 28.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases.
Here,
|a-b|²=(4-(-1))²
=25
25-(-3)
=28
The value of given expression that is |a-b|²-c is 28 when a=4, b=−1, and c=−3.
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Solve pls brainliest
Answer:
A and C
Step-by-step explanation:
The angles and their images are congruent.
evaluate.(w2x 12)÷10⋅z when w=−4, x=2, and z=−5
The solution of the given equation (w² x 12) ÷ 10⋅z is obtained as (-0.64).
Explain the method of substitution?Three stages are involved in the substitution method: first, solve an equation for the one of the variables. Put this expression (or plug it in) into the other equation, then solve it. To identify the matching variable, rewrite the value's original equation.The stated equation is-
= (w² x 12) ÷ 10⋅z
The values are-
w = −4, x = 2, and z = −5, put in the equation-
= [(-4)² × 2)]/ [10 × -5 ]
= [16 x 2]/)-50)
= 32 / -50
= -0.64
Thus, the solution of the given equation (w² x 12) ÷ 10⋅z is obtained as (-0.64).
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If the area of an equilateral triangle is
[tex]64 \sqrt{3} cm {}^{2} [/tex]
find its perimeter
The perimeter of the equilateral triangle is 48 cm
How to find the perimeter of an equilateral triangle?equilateral triangle
An equilateral triangle is a type of triangle in which all three sides are equal in length and all three angles are also equal, measuring 60 degrees each.
Given that: the area of an equilateral triangle is 64√3 cm²
The formula for the area of an equilateral triangle is given by:
A = (√3)/4 × a²
Where a is the length of the side
64√3 = (√3)/4 × a²
4 × 64√3 = (√3) × a²
4 × 64 = a²
a² = 4 × 64
a² = 256
a = √256
a = 16 cm
Perimeter of the equilateral triangle = a + a + a = 3a
Perimeter of the equilateral triangle = 3 × 16 = 48 cm
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This is a two part question. For the first blank, type the letter associated with with
the correct graph of this system. For the second blank, type the correct solution to
the system in point notation: (x,y).
Let
f(x) = (x + 2)² +3
g( )=2x+6
Answer: c
Step-by-step explanation:
differences on the dependent measure between the levels of one variable within one level of another variable are known as
The differences in dependent measures between levels are the main effects
The differences in the dependent measure between the levels of one variable within one level of another variable are known as simple main effects. These effects can be tested statistically to determine if they are statistically significant, which would indicate that the difference between the levels of the first variable is meaningful within the context of the second variable.
One independent variable having a certain degree of another independent variable is the simple main effect of a factorial experiment. The levels of the other independent variable are averaged over the primary effect of one independent variable. Results for a straightforward main effect are examined as though every level of the other independent variables had its own experiment.
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find the distance between the two points, round to the nearest tenth (if necessary).
(−2,−5) and (−7,−7)
Leg 1:
Leg 2:
Distance:
The distance between the points A ( -2 , -5 ) and B ( -7 , -7 ) is 5.4 units
What is the distance between two points?
Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )
The distance from A to B is the same as the distance from B to A
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
This formula is used to find the distance between any two points on a coordinate plane or x-y plane
Given data ,
Let the first point be A ( x₁ , y₁ )
The value of A ( x₁ , y₁ ) = A ( -2 , -5 )
Let the second point be B ( x₂ , y₂ )
The value of B ( x₂ , y₂ ) = B ( -7 , -7 )
Now , the distance between the two points is given by the formula
D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
where D is the distance
Substituting the values in the equation , we get
Distance D = √ [ ( -7 - (-2) )² + ( ( -7 - (-5) )² ]
On simplifying the equation , we get
Distance D = √ (-7 + 2 )² + ( -7 + 5 )²
Distance D = √ ( -5 )² + ( -2 )²
So , the value of D is
Distance D = √ ( 25 + 4 )
Distance D = √29 units
So , the approximate value of distance D = 5.39 units
Therefore , the value of Distance D = 5.4 units
Hence ,
The distance between the points A ( -2 , -5 ) and B ( -7 , -7 ) is 5.4 units
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A college student is buying a used car for $10,000. The student can either pay in full with cash from savings, or finance the car for 60 months at a monthly compounding interest rate of 5.25%, which results in a monthly payment of $216.57.
How much more is paid over the life of the loan versus paying in cash?
O $2,994.20
O$12,994.20
O $1,082.85
O $11,082.85
Therefore, the student would pay $2,994.20 more over the life of the loan than if they paid in cash.
What is percent?Percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". Percentages are commonly used to express ratios, proportions, and rates. They are used in many areas of everyday life, such as in finance, business, and statistics. Some common examples include: Interest rates on loans and credit cards, Discounts on sale items in stores, Tax rates on income or purchases, Probability of events occurring, Performance metrics in sports and other competitions. Percentages can be converted to decimals or fractions for calculations, and vice versa.
Here,
If the student pays in full with cash, the total cost of the car is $10,000.
If the student chooses to finance the car, the monthly payment is $216.57 and the number of months is 60. The total amount paid over the life of the loan is:
Total paid = Monthly payment * Number of months
= $216.57 * 60
= $12,994.20
The amount paid over the life of the loan is the difference between the total paid and the initial cost of the car:
Amount paid over life of loan = Total paid - Initial cost
= $12,994.20 - $10,000
= $2,994.20
The correct answer is option O: $2,994.20.
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What is the slope-intercept equation for the linear function represented by the
table?
Answer: y= 3/2x - 6
Step-by-step explanation:
The equation is y=mx + b
The y-intercept is when x = 0, so on the table y-intercept = -6
The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2
to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}[/tex]
now, the y-intercept occurs when x = 0, recheck the picture below.
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Meena sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
53 visitors purchased no costume.
151 visitors purchased exactly one costume.
22 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase exactly one costume as a percent to the nearest whole number.
The probability that the next person will purchase exactly one costume is 67%.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
53 visitors purchased no costume.
151 visitors purchased exactly one costume.
22 visitors purchased more than one costume.
Total visitor = 53 + 151 + 22
= 226
Probability that the next person will purchase exactly one costume will be:
= Those with one custome / Total visitors × 100
= 151 / 226 × 100
= 67%
The probability is 67%.
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