Answer:
Slope = 9
Step-by-step explanation:
Point (3,27) and (5,45)
m = (45-27)/(5-3)
18/2 = 9
Answer:
9
Step-by-step explanation:
To find the slope of a line, one of the methods is to look for the rise over run, or the change in y over the change in x. If we just look at the first few numbers on the chart, we can see that the change in y (for the first two numbers) is 18, and the change in x (for the first two numbers) is 2. So our slope is 18/2, or 9.
I think this is correct, I hope it helped!! :3
What is the value of (-4)-3?
1
64
О.
—
1
12
64
ОО
1
12
Answer:
Answer is -1/64
Step-by-step explanation:
Mark me the brilliant
Adrianna uses her credit card to purchase everything! She makes payments on the 15th of each month. Each payment she makes is for the same amount, and it is automatically deducted from her savings account. At the end of the year, Adrianna’s account balance changed by - $4,203.00 due to the payments she made. What is the change in Adrianna’s account balance each month due to the payments she makes on her credit card?
Answer:
$350.25 per month
Step-by-step explanation:
We can assume she pays the same amount every month. We know that there are 12 months in a single year, so we can divide to find the unit rate.
4203 / 12 = 350.25
Best of Luck!
Answer:
$350.25 per month
I hope this helps! good luck and hope you do well!
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
Which system of linear inequalities is represented by
the graph?
HELPPP Please!!!
The figure shown is composed of two cubes.
Which equation shows the surface area
ne figure?
SA = 6(5-5)+6(3-3)-2(3-3)
What is the surface area of
the figure shown?
cm²
3cm
5c
186 cm³ will be the surface area of the given figure.
To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.
Thus,
Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.
So,
Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)
Total surface area = 150+54-18
Total surface area = 186
Therefore, the surface area of the given figure will be 186 cm³.
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Choose the correct expression for 10 decreased by 3x
Answer:
10-3x=0
3x=10
x=10/3
Step-by-step explanation:
If x = 2, solve for y. y = 6.3x y=[?]
Answer: y = 12.6
Step-by-step explanation:
Since x = 2 and y = 6.3 * x, y = 6.3 * 2.
6.3 * 2 is equal to 12.6, so y is 12.6.
Answer:
y = 12.6
Step-by-step explanation:
y = 6.3x x = 2
Solve for y.
y = 6.3(2)
y = 12.6
So, the answer is 12.6
____________ is a test of a single population and is to determine if there is an association between two characteristics of that population. A) The chi-square test for independence B) Pearson product moment test C) The chi-square test for homogeneity D) Goodness-of-fit test E) Welch’s t test
The option a "The chi-square test for independence" is correct.
In the given question we have to find, a test of a single population and is to determine if there is an association between two characteristics of that population.
The given options are
A) The chi-square test for independence
B) Pearson product moment test
C) The chi-square test for homogeneity
D) Goodness-of-fit test
E) Welch’s t test
As we know that;
When a categorical variable has more than two levels, a chi-square test can be performed. A one proportion z test may be performed if there are precisely two categories. There must be no overlap between those category variable's levels. To put it another way, every situation must fall into exactly one group.
So, the chi-square test for independence is correct answer.
Option (B) and (E) are two-sample tests.
(C) involves two attributes.
(D) Doesn't check association.
Hence all these are incorrect.
So the option a "The chi-square test for independence" is correct.
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1.9x-0.8y=10 what is x
Answer: x = 0.421053y+5.263158
Step-by-step explanation:
x = 0.421053y+5.263158
Answer:
x=0.042105y+10/19
Step-by-step explanation:
Let's solve for x.
19x−0.8y=10
Step 1: Add 0.8y to both sides.
19x−0.8y+0.8y=10+0.8y
19x=0.8y+10
Step 2: Divide both sides by 19.
19x/19=0.8y+10/19
x=0.042105y+10/19
Out of 20 people how many would you expect to say that they like all seasons
Answer:
None
Step-by-step explanation:
Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.
Answer:
One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.
Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.
One way to construct a confidence interval for a proportion is to use the formula:
p ± z * sqrt(p * (1 - p) / n)
where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:
0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)
which simplifies to:
0.6 ± 0.22
or:
(0.38, 0.82)
This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.
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Simplify the following expression. 10x + 6 + 2(x + 5)
Answer:
12x+10
Step-by-step explanation:
10x+2(x+5)
10x+2x+10
12x+10
Abdul invests $5,000 at an interest rate of 4%, compounded quarterly. How much is the investment worth at the end of 3 years?
O A. $624.32
O B. $5624.32
C. $634.13
O D. $5634.13
I need help! Please!!
Answer:
18/5
Step-by-step explanation:
3(6)=5x
18=5x
x=18/5
write an explicit formula for an, the nth term of the sequence 39,31,23
Answer:
a_n = 47 - 8n
Step-by-step explanation:
a_1 = 39
a_2 = 31
a_3 = 23
31 - 39 = -8
23 - 31 = -8
This is an arithmetic sequence with constant difference -8.
a_1 = 39
a_2 = 39 - 8
a_3 = 39 - 8 - 8 = 39 - 2(8)
a_4 = 39 - 8 - 8 - 8 = 39 - 3(8)
...
a_n = 39 - (n - 1)(8)
a_n = 39 - 8(n - 1)
a_n = 39 - 8n + 8
a_n = 47 - 8n
Answer:
\(a_n=47-8n\)
Step-by-step explanation:
Given sequence:
39, 31, 23, ...Calculate the differences between the terms:
\(39 \underset{-8}{\longrightarrow} 31 \underset{-8}{\longrightarrow} 23\)
As the differences are constant (the same), this is an arithmetic sequence with:
First term (a) = 39Common difference (d) = -8\(\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\end{minipage}}\)
Substitute the found values of a and d into the formula to create an equation for the nth term of the sequence:
\(\implies a_n=39+(n-1)(-8)\)
\(\implies a_n=39-8n+8\)
\(\implies a_n=47-8n\)
Describe its graph.
4 – 5x > 19
Answer:
X is greater than 4.6
Step-by-step explanation:
John and Monica completed the same task on different lines in an assembly plant. When John had completed 7/9 of the task, Monica had only completed 5/9 of the task. How much more of the task has John completed than Monica?
Answer:
2/9ths
Step-by-step explanation:
7/9 - 5/9 = 2/9
Hope this helps <3
Find the area, in square inches, of the composite figure.
A composite figure consisting of an isosceles right triangle, a rectangle, and an another isosceles triangle. The combined length of the right triangle and the rectangle is 25 inches. The length of only the rectangle is 14 inches. The base of the other isosceles triangle, which is the same as the width of the rectangle, is 2 inches plus 2 inches, and the height of the isosceles triangle is 3 inches.
The area of the composite figure is 122.5 square inches
How to find the area of the composite figure.Based on the problem statement, we have the following dimensions from the question
Isosceles right triangle: 11 inchesRectangle: 14 inches by 4 inchesAnother isosceles triangle; Base = 4 inches and Height = 3 inchsThe area of the composite figure is the sum of individual areas
So, we have
Area = Isosceles right triangle + Rectangle + Another isosceles triangle
By applying the formulas, we have
Area = 0.5 * 11 * 11 + 14 * 4 + 0.5 * 4 * 3
Evaluate
Area = 122.5
Hence the area is 122.5 sq inches
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The average low temperatures in international falls minnesota are shown in the graph f(x) represents the function that contains these points find each of the following
The Relative Maximum will be (7, 50) and minimum is (12, 0).
We have the graph showing average low temperatures in international falls minnesota.
From the graph the maximum y coordinate is 50.
So, the Relative Maximum will be (7, 50).
and, the minimum y coordinate is 0.
So, the Relative minimum is (12, 0)
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Multiply. Write your answer in simplest form.
7 x 3/4
Answer:
5.25
Step-by-step explanation:
7x3 = 21
21/4 = 5.25
Answer:
5 1/4
Step-by-step explanation:
On average the number of electronic keyboards sold in New York each year is 61,313, which is seven times the average number of electronic keyboards sold each year
in Montana. How many electronic keyboards, on average, are sold each year in Montana?
Answer:
8759
Step-by-step explanation:
Blank hundreds is the same as 4 thousand
Saloni computed in a two-way table the relative frequencies of boys and girls participation in school sports at her school which statement best describes the relationship between the two variables
The statement that best describes the relationship between the two variables is "There is an association because the relative frequencies by column are different, and the relative frequencies by row are also different." (option a).
To understand the relationship between these two variables, we need to analyze the frequencies by row and by column. The rows represent one variable (in this case, gender), and the columns represent the other variable (participation in school sports).
If we look at the relative frequencies by row, we see that the percentage of girls participating in school sports is higher in the fall (63%) than in the spring (43%), while for boys, the opposite is true. This indicates an association between gender and participation in school sports, as the relative frequencies vary by row.
Alternatively, if we look at the relative frequencies by column, we see that the percentage of boys participating in school sports is higher in the spring (57%) than in the fall (37%), while for girls, the opposite is true. This also indicates an association between gender and participation in school sports, as the relative frequencies vary by column.
Therefore, we can conclude that the best statement to describe the relationship between the two variables is option A: "There is an association because the relative frequencies by column are different, and the relative frequencies by row are also different."
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Complete Question:
Siloni computed in a two-way table the relative frequencies of boys’ and girls’ participation in school sports at her school.
School Sports Participation by Gender Fall Spring
Boys 37% 57%
Girls 63% 43%
Which statement best describes the relationship between the two variables?
a) There is an association because the relative frequencies by column are different.
b) There is an association because the relative frequencies by row are different.
c) There is no association because the relative frequencies by column are different.
d) There is no association because the relative frequencies by row are different.
If a new van is valued at $34,600, what will its value be in 3 years if it depreciates 14.2% each year?
Answer:
The answer is $21,854. 35
Step-by-step explanation:
rate = 14.2%
Time = 3 years
Value = 34600
V = (1-r)^t
V=34600(1-0.142)^3
V=34600 (0.858)^3
V=$21,854.35
The auto parts department of an automotive dealership sends out a mean of 4.2 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 3? Round your answer to four decimal places.
The probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.
What are some of the properties of Poisson distribution?The Poisson distribution is a discrete probability distribution that describes the likelihood of a specific number of events occurring in a specified span of time or space, if these events occur at a constant mean rate and regardless of the time since the last occurrence.
Let X ~ Pois(λ)
Then we have:
E(X) = λ = Var(X)
Since standard deviation is the square root (positive) of variance,
Thus,
The standard deviation of X = \(\sqrt{\lambda}\)
Its probability function is given by
\(f(k; λ) = Pr(X = k) = \dfrac{\lambda^{k}e^{-\lambda}}{k!}\)
Given the mean is 4.2.
We have to find the probability that on any day, the number of special orders sent out will be exactly 3. Therefore, the value of x will be 5.
Using the Poisson distribution,
\(P(x) = \dfrac{e^{-\lambda}\lambda ^x}{x!}\\\\P(5) =\dfrac{e^{-4.2}(4.2)^5}{5!}\\\\P(5) = 0.1633\)
Hence, the probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.
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6 - 8x = 6x - 9x + 11
6-8x=-3x+11
-8x+3x=11-6
-5x=5
x=-1
The first step is to isolate the variable, then you solve. Hope this helps, brainliest if you can.
Answer:
hi
Step-by-step explanation:
hi i am a gamergirl add me in fortnite xxgamergilxx93_qt
Answer this with explanation please
The measure of angle MTU m∠MTU is 114 degree.
What is the measure of angle MTU?From the figure in the diagram:
Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.
m∠STU = 145°m∠STM = 31°m∠MTU = ?Since, angle STU composes or is the sum of angle STM and angle MTU.
To find angle MTU, simply subract angle STM from angle STU.
m∠STU = m∠STM + m∠MTU
Hence:
m∠MTU = m∠STU - m∠STM
Plug in the given values and simplify
m∠MTU = 145° - 31°
Subtract 31 from 145
m∠MTU = 114°
Therefore, angle MTU measure 114°.
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Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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Given the vertices, determine the quadrilateral's most specific classification.
A(5, -3) B(7, 1) C(9, -3) D(-7, 7)
A bus holds 39 passengers. How many buses will 420 people need
Answer:
11 buses
Step-by-step explanation:
a rectangular auditorium seats 2244 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.
Find the number of seats in each row:
Here in the question it is given that,
a rectangular auditorium seats 2244 peoplenumber of seats in each row exceeds the number of rows by 7We have to find the number of seats in each row.
Let us assume that the number of seats in each row be x.
From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,
Number of seats in one row = Number of rows + 7
x = Number of rows + 7
⇒ Number of rows = x - 7
Total number of seats in the auditorium can be written as,
⇒ (Number of seats in one row)(Number of rows) = Total number of seats
(x)(x - 7) = 2244
x² - 7x = 2244
⇒ x² - 7x - 2244 = 0
By using quadratic formula we can find the root,
x = (-b ± √b² - 4ac)/2a
here in the question, a = 1, b = -7, c = -2244
√b² - 4ac = √(-7)² - 4(1)(-2244)
√b² - 4ac = √49 + 8976
√b² - 4ac = √9025
√b² - 4ac = 95
x = (-b ± √b² - 4ac)/2a
x = (7 ± 95)/2
x = 102/2 or x = -88/2
⇒ x = 51 or x = -44
Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.
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