In the pair of numbers 64,4 and 16,2 the first number is a multiple of the second number.
What are multiples of a number?A multiple in math are the numbers you get when you multiply a certain number by an integer.
Check whether the first number is a multiple of the second number
A) In the pair 64,4
64=16×4, yes 64 is multiple of 4
B) In the pair 29,3
Here, 29 is prime number
No, 29 is not a multiple of 3
C) In the pair 16,2
16=8×2, yes 16 is multiple of 2
D) In the pair 42,8
Here, 42=2×3×7 and 8=2×2×2
No, 42 is not multiple of 8
E) In the pair 31,7
Here, 31 is prime number
No, 31 is not a multiple of 7
Therefore, in the pair of 64,4 and 16,2 the first number is a multiple of the second number.
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The China Health and Nutrition Survey aims to examine the effects of the health, nutrition, and family planning policies and programs implemented by national and local governments.48 It, for example, collects information on number of hours Chinese parents spend taking care of their children under age 6. The side-by-side box plots below show the distribution of this variable by educational attainment of the parent. Also provided below is the ANOVA output for comparing average hours across educational attainment categories. (a) Write the hypotheses for testing for a difference between the average number of hours spent on child care across educational attainment levels. (b) What is the conclusion of the hypothesis test?
(a). The alternative to the null hypothesis, H₀ = μ₁= μ₂ = μ₃=μ₄= μ₅ is Hₐ: At least two 1s are unequal. (b). Refuse H₀ If p-value is less than 0.05, the 5% presumed threshold of significance is exceeded.
What is a typical value?In mathematics, the middle value—which is determined by dividing the sum of each of the values by the total number of values—is the approximate amount in a collection of numbers. To determine the median of a collection of data, add all of the values and divide the result by the total number of values.
Briefing:a). The study's goal is to determine if there is discernible variation in the typical quantity of time spent on childcare services across levels of educational achievement.
Null hypothesis, H₀ = μ₁= μ₂ = μ₃=μ₄= μ₅
(The average quantity of time spent on child rearing across educational levels does not change much.)
Alternative hypothesis, Hₐ : At least two μ₁s are unequal.
(The mean number of hours on child care varies significantly depending on the degree of education).
b). Let the level of significance be, ∝ = 0.05
Decision rule: Reject H₀ if p-value ≤ 0.05
The result statistic F has a value of 1.26 and a p-value of 0.2846 based on the provided ANOVA table. Keep in mind that the p-value exceeds the 5% expected level of significance. Therefore, don't reject H₀.
There is insufficient data to draw the conclusion that the average quantity of time spent with child care throughout education level differs significantly.
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Drag the operation signs to make the equation true. A
not at all
12
x
+
(74) + 5
3 = 19
Answer: 12 / (7-4)+5 x 3=19
the / is the same as the dividing sign
Step-by-step explanation:
12 / (7-4)+5 x 3=19
12/3+15=19
4+15=19
19=19
Farah wants to buy strings of colored lights to hang in her room. She wants to decorate the entire perimeter of the room, which is at least 70 feet. One string of light is 5 feet long. Write and graph a one-step inequality to represent the situation, where x is the number of strings of lights Farah will need to decorate the perimeter of the room.
The expression that shows the situation where x is the number of strings of lights Farah will need to decorate the perimeter of the room = X = 70/5
What is perimeter?Perimeter is defined as the total area of an object which is measured or calculated by addition of the whole sides.
The perimeter of the given room = 70feet
The area covered by 1string of light = 5 feet
The number of spring of light needed would be calculated using X = 70/5 =14
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Teena bought a bicyhcle for $528 after getting a discount of 12% taken off its normal price. Find the normal price of the bicycle.
Answer:
Originally $600.
Step-by-step explanation:
[tex]\frac{528}{88} =\frac{y}{100}[/tex]
88 · y = 528 · 100
88y = 52800
y = 600
Originally $600.
In the data set below, what is the value of the 1st quartile?
(6,7,8,9,10,12,14)
Answer: 7 is the first quartile
Step-by-step explanation:
method to find quartile
Order your data set from lowest to highest values
Find the median. This is the second quartile Q2.
At Q2 split the ordered data set into two halves.
The lower quartile Q1 is the median of the lower half of the data.
The upper quartile Q3 is the median of the upper half of the data.
If the size of the data set is odd, do not include the median when finding the first and third quartiles.
If the size of the data set is even, the median is the average of the middle 2 values in the data set. Add those 2 values, and then divide by 2. The median splits the data set into lower and upper halves and is the value of the second quartile Q2.
What happens to y=x when the y-intercept is changed
Answer:
When the y-intercept of a line is changed, the line will shift up or down along the y-axis. The slope of the line will remain the same, but the point at which the line crosses the y-axis will change. This means that the position of the line on the graph will change, but the overall shape of the line will stay the same. For example, if the y-intercept of the line y=x is changed from (0,0) to (0,5), the line will shift up by 5 units and will now be represented by the equation y=x+5. This will cause the line to intersect the y-axis at the point (0,5) instead of (0,0).
Which of these statements is FALSE? a.) A data set is a characteristic of an individual member of the population that can be measured. b.) The distribution describes what values the variables take and how often they take those values. c.) A data set is a list of numbers that is associated with context. d.) The distribution can be summarized by a frequency table.
The statement A ie A data set is a characteristic of an individual member of the population that can be measured is false
What is statement ?
Depending on the context, the term "statement" in logic can refer to either a proposition or a coherent declarative utterance that can be true or false. Which is the claim a true or false declarative phrase makes.
A sentence that asserts something to be true is called a statement. In the fields of law, banking, and government, there are more types of statements. Every statement makes a claim or a point. If you see an accident, you have to tell the police what you observed in a statement.
A statement is a directive issued to the computer that tells it to carry out a specific task, like display something on the screen or gather input. A succession of assertions make up a computer program.
When It applies to the whole population, in general
The statement that is false is A data set is a characteristics of an individual member of the population that can be measured
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4. Alex gets $5.00 every week she does cvs
her chores. She did chores 3 weeks.
Now, she wants to buy a video
game for $36.00. How much more
money does she need?
The amount of money that she needs to buy a video game will be $21.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Alex gets $5.00 consistently she does CVS her tasks. She tackled errands for a long time. Presently, she needs to purchase a computer game for $36.00.
The amount of money is given as,
⇒ $36 - $5 x 3
⇒ $36 - $15
⇒ $21
The amount of money that she needs to buy a video game will be $21.
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NO LINKS!! Please help me with the Domain and Range and Functions Part 2bb
Domain - the set of possible x-coordinates of a function.
Range - the set of possible y-coordinates of a function.
Question 25
Domain is:
x ∈ (- 6, 6), both ends excluded as open circles.Range is:
y ∈ [-5, 3), the lowest point is included as part of graph, the highest value is excluded as open circle..This is a function as it passes the vertical line test.
Question 26Domain is:
x ∈ [- 3, 7], both ends included as part of the graph.Range is:
y ∈ [-1, 5], both ends included as part of the graph.This is not a function as it fails the vertical line test.
Answer:
25) Domain: (-6, 6)
Range: [-5, 3)
26) Domain: [-3, 7]
Range: [-1, 5]
Step-by-step explanation:
Definitions
An open circle indicates the value is not included in the interval.A closed circle indicates the value is included in the interval.An arrow shows that the function continues indefinitely in that direction.Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.[ or ] : Use square brackets to indicate that the endpoint is included.The domain is the set of all possible input values (x-values).
The range is the set of all possible output values (y-values).
Question 25From inspection of the graph, the endpoints of the continuous curve are:
(-6, -3) and (6, 3)As the endpoints are open circles, the values are excluded from the domain and range.
Therefore, the domain in interval notation is:
Domain: (-6, 6)The smallest y-value is y = -5 and the greatest y-value is y = 3.
Therefore, the range in interval notation is:
Range: [-5, 3)Question 26The graph is a conic section (ellipse) and therefore it is not a function.
The smallest x-value is x = -3 and the greatest x-value is x = 7.
The smallest y-value is y = -1 and the greatest y-value is y = 5.
Therefore, the domain and range in interval notation are:
Domain: [-3, 7]Range: [-1, 5]Help ASAP FIRST CORRECT ANSWER GET BRAINLY ANSWER
Diane holds an accounting degree what company might be interested in hiring Diane
Answer: EY
Step-by-step explanation:
Ey is a business' that need people with an accounting degree
Answer:
meaningfulness
Step-by-step explanation:
in psychology, is described as a process through which the high degree of salience or significance of a particular piece of information is being reflected. Information that encompasses meaning related to an individual is described as meaningful. However, meaningfulness is highly dependent on the understanding or comprehension of a particular meaning.
:)):))):)/):)::!:&’s
Answer:
ASA
Step-by-step explanation:
The figure below is reflected over x-axis. What are the coordinates of the image of point Y after this transformation?
The coordinates of point y after the transformation is (-6,5).
What is coordinates of point ?A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y). a group of variables that accurately depict a stance. The first number on a graph represents the distance along, while the second number represents the distance up or down. For instance, the point (12,5) is located 12 units down and 5 units up.Firstly , we need to get the coordinates of the point y before the transformation
The coordinates are
(-6,-5)
By reflecting over the y-axis, we have the following change;
(x,y) becomes (-x,y)
So we have;
(6,-5)
Then we are to rotate at an angle of 180 degrees counterclockwise
The operation here will be;
(x,y) to (-x,-y)
So we have;
(6,-5) to (-6,5)
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the area of a triangle is half the area of a square. if the base of the triangle and a side of the square are equal, what is the ratio of the side of
As a result, the area of an equilateral triangle represented across one side of a square is equal to half the area (1/2)of something like the triangle described on one of its diagonals.
What is a square form?A square is a compact, two-dimensional object with four equal sides and four vertices. On either side, it has parallel sides. A rectangle with equal length and breadth is also comparable to a square.
Which four types of squares are there?a rectangle with two adjacent sides that is the same length. a quadrilateral with four equal sides and four straight angles. a parallelogram having one right angle and sides that are evenly spaced apart. a right-angled rhombus's form.
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6. Which of the following strategies can
help you solve 4 x 6? Select all that
apply.
(6x6) + (6 x 6)
(4 x 3) + (4 x 3)
(5x5)+(4x 1)
(5x4) + (1x4)
(2x4) + (2x6)
Answer:
(4x3) + (4x3) and (5x4) + (1x4)
Step-by-step explanation:
When you multiply 4 by 3 you get 12. And 12 + 12 is 24. 4 x 6 is 24 so then that is an answer. And 5 by 4 is 20 and 1 x 4 is 4 you add them you get 24.
Mr. Rooks' bank pays 4-% interest per year. He has $17,000 in the bank. How much interest would he receive in 3 years?
Mr. Rooks would receive $2,040 in interest in 3 years.
The interest rate is given as 4%, which means that for every $100 Mr. Rooks has in the bank, he will receive $4 in interest per year.
To find the total interest Mr. Rooks will receive in 3 years, we need to multiply the annual interest rate by the number of years, and then multiply that result by the amount of money Mr. Rooks has in the bank.
In this case, the calculation would be as follows:
Annual interest rate × number of years × amount in the bank = total interest
(4 / 100) × 3 × $17,000 = $2,040
Therefore, Mr. Rooks would receive $2,040 in interest in 3 years.
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Answer!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
if a person is not a hockey player, they are not a prof athlete
if a person is a hockey player, they are a prof athlete
if a person is not a prof athlete, then they r not a hockey player
following quadratic equation, find the
5 x²+60 x+187=7
(x + 6) is the solution for the quadratic equation 5x² + 60x + 187 = 7
Given,
The quadratic equation;
5x² + 60x + 187 = 7
Arrange this in standard form;
5x² + 60x + 187 - 7 = 0
5x² + 60x + 180 = 0
We have to find the solution for this quadratic equation;
Quadratic formula ;
[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]
Here,
a = 5
b = 60
c = 180
Now,
[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex] = [tex]\frac{-60(+-)\sqrt{60^{2}-4*5*180 } }{2*5}[/tex] = [tex]\frac{-60(+-)\sqrt{3600-3600} }{10}[/tex] = -60±0 / 10 = -60/10 = -6 = (x + 6)
That is,
The solution for the quadratic equation 5x² + 60x + 187 = 7 is (x + 6)
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50 POINTSSSSSS ASAP!!!! 50 POINTSSSSSS ASAP!!!! 50 POINTSSSSSS ASAP!!!!
Quadrilateral RUST has a vertex at T (5, 2).
An image displaying a quadrilateral RUST.The vertex of R is R of 1 comma 5.
What are the coordinates of T' after the translation (x, y) → (x – 1, y + 2), followed by a dilation by a scale factor of 2, centered at the origin?
A.
(8, 8)
B.
(6, 2)
C.
(4, 4)
D.
(10, 4)
Answer:
A) (8, 8)-------------------------------
Apply the rules to point T.
Translation:
T(5, 2) → T'(5 - 1, 2 + 2) = T'(4, 4)Dilation:
T'(4, 4) → T''(4*2, 4*2) = T''(8, 8)The matching choice is A.
10. The perimeter of the table shown is 16 feet. Write an equation in
the form px + q=r to solve for x.
the value of x is 5 feets and p = 2, q = 6 and r = 16.
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,
Area of rectangle is A = a*b
Perimeter = 2(a+b)
given in the question that the perimeter is 16 feet.
p= 2(3+x)
p = 6+2x
p = 2
q = 6
r = 16
2x = 10
x =5 feet.
Hence, the value of x is 5 feets.
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Forty-five year old Jim Wiseman just got a new job earning $60,000 per year. He will save 10% of his income each year for his retirement at age 55. He must decide whether to invest his savings in Big Sky Bank which offers 20% compounded semi-annually or Valley Bank which offers 8% compounded quarterly. What compounded amount would he earn he chooses to invest his savings in Big Sky Bank? What compounded amount would he earn if he chooses to invest his savings in Valley Bank?
The compounded amount earned in Big Sky Bank is $40,365.00.
The compounded amount earned in Valley Bank is $13,248.24.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = 10% of 60,000
P = 6000
t = 10 years
Big sky Bank:
r = 20%
n = 2 (semiannually)
A = 6000 [tex](1 + 0.1)^{20}[/tex]
A = 6000 x [tex]1.01^{20}[/tex]
A = $40,365.00
Valley Bank:
r = 8%
n = 4 (quarterly)
A = 6000 [tex](1 + 0.02)^{40}[/tex]
A = 6000 x [tex]1.02^{40}[/tex]
A = $13,248.24
Thus,
Big Sky Bank compounded amount is $40,365.00.
Valley Bank compounded amount is $13,248.24.
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What is the value of the expression
4(2+y)
______
2y-x
when x = 2 and y = 47
Answer:
Step-by-step explanation:
I got 196/90
I got this by plugging in 47 for y so I got 4(2+47) and got 196 when I solved it. The bottom one I did 2(47-2) and got 90...( I don't know if it's right though, if wrong I'm sorry)
Pslspslspslsp someone help snd pls right answer it’s a test
1. The stem-and-leaf plot below shows the number
of fish caught in Long Island Sound during a
31-day period. What is the median number of fish
caught?
The median number of fish caught is given as follows:
12.
How to obtain the median of the data-set?First we consider the stem-and-leaf plot given by the image at the end of the answer, which gives each measure of the data-set according to the key.
Then the measures in this problem are given as follows:
6, 7, 8, 8, 9, 10, 10, 12, 12, 13, 14, 14, 17, 21, 22.
The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% is greater than.
When a data-set has an odd number of elements, as is the case in this problem, the median is exactly the middle element, which is of:
12.
Missing InformationThe problem is incomplete, hence a similar problem involving finding the median of an stem and leaf plot is given.
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which multiplication expression is equivalent to 5/8 divided by 1/16? A. 8/5 x 16/1 B. 5/8 x 16/1 C. 5/8 x 1/16 D. 8/5 x 1/16
Multiplication expression equivalent to 5/8 ÷ 1/16 is 5/8 × 16.
What do you mean by fractionol expression?
Fractions with a variable in the denominator are called fractional expressions. They frequently also include variables in the numerator. Since fractions can also be conceived of as ratios, these expressions are often called rational expressions. In algebra, we most frequently refer to fractional expressions as expressions that are the ratio of two polynomials.
Given expression:
5/8 divided by 1/16
⇒ 5/8 ÷ 1/16
= 5/8 × 16
= 10
Therefore, multiplication expression equivalent to 5/8 ÷ 1/16 is 5/8 × 16.
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What is the slope?
simplify your answer and write it as a proper fraction, improper fraction or integer
Answer:
2
Step-by-step explanation:
Slope is Rise/Run
Pick two points and count the number of units up (rise) and sideways (run) between them
Answer: Slope = 2
Step-by-step explanation: The equation for slope is y2 - y1 / x2 - x1
so using points (2,2) and (3,4)
4-2 / 3-2 = 2/1 = 2
A line passes through the point (3,2) and has a slope of 4
The equation of the line that passes through the point (3,2) and has a slope of 4 is; y = 4x - 10
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Point (3,2)
Then Slope m = 4
Now Write the equation as;
y - 2 = 4(x - 3)
y = 4x - 10
Hence, The equation of the line is; y = 4x - 10
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Answer to this equation , simplified
If the value of a = 5 and c = √21 then the value of b = 2i, b = -2i.
What is meant by simplest radical form?Simply said, simplifying a radical eliminates the need for further square, cube, fourth, etc. roots to be found. This is known as expressing in the simplest radical form. In the denominator of a fraction, it also means eliminating any radicals. The top and bottom of a fraction are said to be in its simplest form if they only share the number one. For the top and bottom to remain whole numbers, you cannot divide them further. Additionally, lowest terms, or simple form, may be used. Take the fraction, as an example.The formula goes a² + b² = c², where a and b are legs of the triangle (the non hypotenuse sides), and c is the hypotenuse (the side opposite to the right angle).In this problem, we have one leg and the hypotenuse.
Let the equation be a² + b² = c²
substitute the values in the above equation, we get
5² +b² = (√21)²
25+b²=21
Move 25 to the right side
b² = -4
For x² = f(a) the solutions are [tex]$x=\sqrt{f(a)},-\sqrt{f(a)}$[/tex]
[tex]$$b=\sqrt{-4}, b=-\sqrt{-4}$$[/tex]
simplifying the above equation, we get
[tex]& \sqrt{-4}=2 i \\[/tex]
[tex]& -\sqrt{-4}=-2 i \\[/tex]
b = 2i, b = -2i
Therefore, the value of b = 2i, b = -2i.
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Ahmad will spend at most $34 on gifts. So far, he has spent $21 . What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Ahmad will spend.
Write your answer as an inequality solved for c .
The additional amount Ahmad will spend if Ahmad will spend at most $34 on gifts. So far, he has spent $21 is c = 13.
What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.
Given:
Ahmad will spend at most $34 on gifts,
He spent = $21,
c = additional amount
The total amount he can spend now = total amount - he spent
c = 34 - 21
c = 13
Therefore, the additional amount Ahmad will spend, if Ahmad will spend at most $34 on gifts. So far, he has spent $21 is c = 13.
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1 · 3.2 = d
i need the answer now
Answer:
d = 3.2
Step-by-step explanation:
1 * 3.2 = 3.2
Hence,
d = 3.2
Which number doesn’t share the same pattern as 2, 20, 4, 8, 300
Answer: 3
The full question is: Consider the numbers [2, 20, 4, 8, 300]. Which of the following options does not share the same pattern? Choices: 3, 4, 22, 600, 602, 1994
Step-by-step explanation:
The answer is 3 because all of the other number choices are even.