Step-by-step explanation:
or,(-6)=3(3-2x)
or,(-6)=9-6x
or,-6-9=-6x
or,-15=-6x
or,-15+6=x
or,-9=x
x=-9
Find, in gradient-intercept form, the equation of a line which has:
a gradient of -4/5 and which passes through (4,-2)
The gradient is -4/5, so the equation is of the form
[tex]y=-\frac{4}{5}x+c[/tex]
Substituting in the coordinates (4, -2),
[tex]-2=-\frac{4}{5}(4)+c \\ \\ c=\frac{6}{5} \\ \\ \therefore y=-\frac{4}{5}x+\frac{6}{5}[/tex]
Your friend took an introductory statistics class last year and learned all about density curves. she tells you that two requirements of a density curve are:______.
The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.
Given that,
Two requirements of a density curve are to be determined.
A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.
Here,
The two requirements of a density curve should be,
a. The area under the density curve should be equal to 1.
b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.
Thus, the required requirement of the density curve is mentioned above.
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Simplify a raised to the negative fourth power over quantity 2 times b squared end quantity all cubed.
i need help pleaseee
The simplified form of the expression is a⁻¹²/8b⁶
Simplifying an expressionFrom the question, we are to simplify the given expression
The expression is
a raised to the negative fourth power over quantity 2 times b squared end quantity all cubed
That is,
(a⁻⁴/2 × b²)³
Simplifying the expression
(a⁻⁴/2 × b²)³
= a⁻⁴ˣ³/(2³ × b²ˣ³)
= a⁻¹²/(8 × b⁶)
= a⁻¹²/8b⁶
Hence, the simplified form of the expression is a⁻¹²/8b⁶
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To rent a bike (r), kyre pays the flat rate of 5 pesos plus an hourly rental fee (f) of 2 pesos and 50 centavos
The cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.
What is a linear function?A linear function represents a straight line on the coordinate plane.The slope of a linear function is always the same and constant.A linear function, in other words, is one that varies linearly with respect to a changing variable.To find what is the rate of change in the cost to rent the bike with respect to the number of rent hours:
The rate of change is also known as the function's slope.Because it is a linear function, the slope will be constant.Slope = difference in ys coordinate/difference in xs coordinateSlope = (30-5)/(10-0) = 2.5Therefore, the cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.
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The correct question is given below:
To rent a bike, Max pays a flat rate of $5 plus an hourly rental fee. The graph shows the amount, C, in dollars, that Max pays based on the number of hours, t, that Max rents the bike. What is the rate of change in the cost to rent the bike with respect to the number of rental hours?
(A) $5 per hour
(B) $2.50 per hour
(C) $2 per hour
(D) $7.50 per hour
Chelsea is making a necklace she uses 6 blue beads for every 1 silver bead complete the table to show the ratio of blue beads to silver beads?
Answer: 12:2, 18:3, 24:4
Step-by-step explanation: You can multiply 6 by 2, 3, and 4 because the graph has 4 columns. Then multiply the top by 2, 3, and 4,
What is the solution set for | s+4 | = 6?
Answer:
s=2,−10
Step-by-step explanation:
Find all solutions for s by breaking the absolute value into the positive and negative components.
Halla tres enteros pares consecutivos tales que 6 veces el primer entero sea 26 más que la suma del segundo y tercer enteros.
The consecutive even integers are 8, 10 and 12.
How to calculate the value?Let the integers be x, x + 2, and x + 4.
Therefore, the equation will be:
6(x) = x + 2 + x + 4 + 26
6x = 2x + 32
Collect like term
6x - 2x = 32
4x = 32
Divide
x = 32/4.
x = 8
The numbers are 8, 10 and 12.
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The pearson correlation is calculated for a sample of n = 25 individuals. what value of df should be used to determine whether or not the correlation is significant?
The correlation is a significant non-zero value.
The number of samples is n.
n = 25
The correlation of the coefficient is r.
r = -0.40
When correlation is significant,
[tex]H _{0} : p = 0[/tex]
When correlation is non-zero,
[tex]H _{ \alpha } : p ≠0[/tex]
The test statistic is,
[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]
[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]
[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]
= -2.093
The test statistic is -2.093.
The correlation is,
[tex]H _{ \alpha } : - 2.93 ≠0[/tex]
The correlation is not equal to zero and is significant.
Therefore, the correlation is a significant non-zero value.
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A box of chocolates contained 12. 5% caramels. There were 5 caramels in the
box. How many pieces of chocolate are in the box?
A. There are 63 pieces of candy in the box.
B. There 8 pieces of chocolate in the box.
C. There are 40 pieces of chocolate in the box.
D. There are 4 pieces of chocolate in the box
The box of chocolates which contain 12.5% caramels has C. 40 pieces of chocolate in the box.
To solve this exercise the percentage formula and the procedure to be applied is as follows:
n= (% * nt) / 100
Where
% = percentagen= number portionnt = total of the number portionInformation about the problem:
% = 12.5%n = 5nt =?Using the percentage formulate and isolating the total of the number portion (nt), we get:
n= (% * nt) / 100
nt = (n*100) / %
nt = (5 * 100) / 12.5
nt = 40
C. There are 40 pieces of chocolate in the box.
What is a percentage?Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.
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Find the midpoint given the endpoints:
(_________ , _________)
Question 2 options:
Blank # 1
Blank # 2
Answer:
- 4+23e
Step-by-step explanation:
A startup sports public relations company is looking to grow. They currently represent 2 clients and plan on representing 3 additional clients each year. The following graph can be used to help determine the number of clients, y, the company will have after x years.
ased on the context, what is the range of the function?
[0, ∞)
[2, ∞)
[−7, 7]
ℝ
Based on the context, the range of this function is given by: C. [−7, 7]
What is a range?A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.
How to identify the range of this graph?The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph of function f(x) shown, we can infer and logically deduce the following:
Range = [−7, 7]
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2/3y - 2/5 = 15 it’s algebra
Answer:
y=231/10
Step-by-step explanation:
First you want to add 2/5 to 15.
Now you will have 2/3y=77/5
Now you want to mulitply both sides 3/2
3/2*2y/3=3/2*77/5
Then you will get y=231/10.
Sometimes we ask you to enter an equation and not just an expression. find an equation of a line that has slope 8 and passes through the point (3, 11).
The equation of the straight line is 8x - y = 85.
It is given that the slope of the line is 8 and passes through the point (3,11).
We have to find the equation of the line.
We know that,
Equation of a line is :-
[tex]y -y_1 = m (x - x_1)[/tex]
Where,
x and y are variables
m is the slope of the line
[tex](x_1,y_1)[/tex] are the coordinates of the point that passes through the line.
Here,
[tex](x_1,y_1)[/tex] = (3,11)
m = 8
Hence,
Equation of the line = y - 3 = 8(x - 11)
y - 3 = 8x - 88
8x - y = -3 + 88
8x - y = 85
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The mean of this data was found to be 42, while the median was 37. what does this tell you about the shape of this distribution?
Mean > median, the distribution is skewed to the right.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.So,
Given that age was documented in a survey of 8225 Americans.The mean was 42, and the median was 37.As a result, the median mean is used here.When the mean exceeds the median, we can say that the data is skewed to the right.If the mean is symmetrical, the median will coincide. If the mean differs from the median, the data is skewed rather than symmetrical.When mean > median, we have a skewed distribution to the right.Therefore, mean > median, the distribution is skewed to the right.
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The correct question is given below:
A survey was conducted from a random sample of 8225 Americans, and one variable that was recorded for each participant was their answer to the question, "How old are you?" The mean of this data was found to be 42, while the median was 37. What does this tell you about the shape of this distribution?
Which equation can be used to find the answer to 30 divided by 5
Answer:
[tex]30 \div 5[/tex]
Way A
• 5 divided by 0 is 0.
• 5 divided by 3 is 0.6, flip the number, and you get 6.
Way B
• Divide 30 by 5 to get 6.
what is 1408 rounded to the nearest hundredth
Answer:
It would still be 1408
Step-by-step explanation:
There are no decimal points to round to the nearest hundreth
Answer:
1408.00
Step-by-step explanation:
1408.00 ==>the underlined digit which is 1 digit away from the decimal is the hundredth digit.
What two mixed numbers added together equals 3 4/5. (both mixed numbers with different denominators)
1 2/5 and 2 2/5 are two mixed numbers added together equals 3 4/5.
What is a mixed fraction?
A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.What is a mixed number improper fraction?
A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1.
= 1 2/5 + 2 2/5
= 7/5 + 12/5
= 19/5
= 3 4/5
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Express 15 km as a percentage of 120 km
The expression of 15km as a percentage of 120km as required in the task content is; 12.5%
What percentage representation is 15km of 120km as required in the task content?Since it follows from convention that a percentage is a representation of an entity as a fraction of a hundred partitions.
On this note, the percentage representation is such that;
15km of 120km is;
(15/120) × 100%
0.125 × 100%
= 12.5%.
Ultimately, 15km is 12.5% of 120km.
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At a concession stand, one hot dog and one hamburger cost $3.75 ; one hot dog and cost $12.25 . Find the cost of one hot dog and the cost of one hamburger .
The function shows that the cost of hotdogs is 1.75 and the cost of hamburger is 1.5.
How to calculate the information?Let hotdogs = h
Let hamburger = x
The expression will be:
h + x = 3.25
h + 7x = 12.25
Subtract the functions
6x = 9
x = 1.5
Therefore, hot dogs will be:
= 3.25 - 1.5
= 1.75
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At a concession stand, one hot dog and one hamburger cost $3.25; one hot dog and seven hamburger cost $12.25. Find the cost of one hotdog and the cost of one hamburger.
What is the decimal number 34.567 written in expanded form?
A: An expression that reads three times ten, plus one times one, plus five times one-tenth, plus seven times one-hundredth, plus four times one-thousandth
B: An expression that reads three times ten, plus three times one, plus six times one-tenth, plus seven times one-hundredth, plus five times one-thousandth
C: An expression that reads three times ten, plus four times one, plus five times one-tenth, plus six times one-hundredth, plus seven times one-thousandth
D: An expression that reads three times ten, plus seven times one, plus five times one- tenth, plus four times one-hundredth, plus six times one-thousandth
Answer:
option 3
Step-by-step explanation:
C: An expression that reads three times ten, plus four times one, plus five times one-tenth, plus six times one-hundredth, plus seven times one-thousandth
(7.26x10^6)-(1.3x10^4) in scientific notation
Answer: 7.247 x 10^6
Step-by-step explanation:
(7.26x10^6)-(1.3x10^4)
⇒ 7.247 x 10^6
Scientific notation of given expression = 7.247× 10⁶
What is scientific notation?Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
For example,
650,000,000 can be written in scientific notation as 6.5 ✕ 10⁸.
Given expression
(7.26x10⁶)-(1.3x10⁴)
It can be written as
= (7.26×1000000) - (1.3 × 10000)
= 7260000 - 13000
= 7247000
= 7.247× 10⁶
Hence, 7.247× 10⁶ is the scientific notation of given expression.
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testing for within × within and between × within moderation using random intercept cross-lagged panel models
Testing for within × within and between × within moderation using random intercept cross-lagged panel models "allow measurement decomposition into between- & within components and have thus are becoming famous for testing developmental hypotheses."
What is cross-lagged panel models?Cross lagged panel design is a form of structural equation model in which data is gathered at a number of points in time. It is primarily used to assess causal relationships (which may be bi-directional) in a non-experimental setting, where variables are not controlled but simply recorded.
According to cross-lagged panel design analysis:
If rX1Y2 is'significantly different' from zero, we can draw the conclusion that X is the cause of Y.If rX2Y1 is significantly distinct from zero, we can deduce that Y is the cause of X.If they are both substantially different from zero, we deduce that X causes Y and Y causes X. If they are both equal, we reach the conclusion that they do not cause each other but instead are both affected by a third variable.If we understand that X and Y are correlated but with us data shows no conclusive correlation (neither rX1Y2 or rX2Y1 are significantly different from zero), it is possible that our time lag was just too short (or too long) to enable causal influences to operate, and we need to redesign our experiment.
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If mQOS, mPOR, and mPOQ, what is mROS?
Applying the angle addition postulate, the measure of angle ROS is: 16°
How to Apply the Angle Addition Postulate?Given the following angle measures:
m<QOS = 49°
m<POR = 56°
m<POQ = 23°
Find the measure of angle QOR:
m<QOR = m<POR - m<POQ [angle addition postulate]
Substitute the values into the equation
m<QOR = 56 - 23
m<QOR = 33°
Find the measure of angle ROS:
m<ROS = m<QOS - m<QOR [angle addition postulate]
Substitute the values into the equation
m<ROS = 49 - 33
m<ROS = 16°
Therefore, applying the angle addition postulate, the measure of angle ROS is: 16°
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What is the augmented matrix solution?
Answer:
In linear algebra, an augmented matrix is a matrix obtained by appending the columns of two given matrices, usually for the purpose of performing the same elementary row operations on each of the given matrices.
Step-by-step explanation:
2 1/7 + 3/7(3x-5)=-4
Answer:
Answer 2 1/7 +3/7(3x-5)= -4
2 1/7 + 9/7x-15/7= -4
0+ 9/7x = -4
x= -28/9
Step-by-step explanation:
9. (6x +12) -2(x-7)= 19
Answer: x=-1.75
Step-by-step explanation:
(6x +12) -2(x-7)= 19
6x+12-2x-(-14)=19
6x+12-2x+14=19
6x-2x+12+14=19
4x+26=19
4x+26-26=19-26
4x=-7
x=-7/4
x=-1.75
26. Paul had 3 7/8 cups of milk. He gave 1 %4 cups of milk to his cat. How much milk did he have left?
HELP PLEASE!!! :( .
Answer: The cat has left over the milk is 3.625 cups
Step-by-step explanation:
Amount of cups of milk=3(7/8) cups
That means, 3(7/8) cups= 31/8 cups
Amount of milk cat gave=1/4 cups
The amount of left over the milk :
Subtract with this values
=(31/8) -(1/4)
=3.875-0.25
=3.625
The cat has left over the milk is 3.625 cups
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is 6.34 a rational number
Answer: Yes
Step-by-step explanation: can be written as 6 17/50
Answer: yes because its a terminating number
Suppose that the ratio of males to females in the sales field of a large company is 4:5. if there
are 81 sales representatives in the company, how many are male and how many are female?
There are 36 males and 45 females in the sales field.
Ratio of the number:
Ratios compare two numbers, usually by dividing them.
For example,
If you are comparing one data point (A) to another data point (B), your formula would be
=> A/B.
This means you are dividing information A by information B.
Given.
Suppose that the ratio of males to females in the sales field of a large company is 4:5.
Total number of representatives = 81.
Now, we need to find the number of males and number of females.
Let x be the number of representatives.
So, based on the ratio we have written this as,
=> 4x : 5x = 81
So, the total number of representatives is,
=> 4x + 5x = 81
=> 9x = 81
=> x = 81/9
=> x = 9
So, the number of males is
=> 4x => 4(9) = 36
And the number of females is,
=> 5x => 5(9) = 45
Therefore, there are 36 males and 45 females in the sales field.
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2. Determine whether each of the following expressions is equivalent to 4a + 5(b-2)
i. 2(-5+2a) + 5b
ii. 9ab-10
iii. 4a +56 + 10
