Answer:
n = 3
Step-by-step explanation:
-4n + 7 + 2n = 1
Collect like terms
-2n + 7 = 1
Subtract 7 from both sides
-2n = 1 - 7
Do the math on the right side
-2n = -6
Divide both sides by -2
n = 3
PLEASE HELP!!! QUESTION ON PICTURE
Answer:
27
Step-by-step explanation:
I broke the figure up into 3 rectangles.
5x2 = 10
2x3 = 6
4x5 = 20
This adds to 36. Then subtract out the green square of 9
36 - 9 = 27
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $207.65
Markdown: 77%
The sale price is $
Answer:
$47.76
Step-by-step explanation:
77 : 100 = x : 207.65
x = (207.65 * 77)/100
x = 159.8905
final price = 207.65 - 159.8905 = 47.7595= $47.76
Simplify 3√B^2
please do it quickly first right answer gets brainliest
which of the following are true about the chi-square goodness of fit test?a. It is common to use one-sided alternative hypotheses when performing the chi-square goodness of fit test
b. The chi-square test statistic follows a Poisson null distribution
c. It compares an observed frequency distribution with an expected frequency distribution
d. The null hypothesis is that there is no difference between the observed and expected values
e. The degrees of freedom are k - 1, where k is the number of classes
f. The nature of the expected frequency distribution depends on the probability model on which it is based
Option c, d, f are true about the chi-square goodness of fit test.
Explanation:
a. It is common to use one-sided alternative hypotheses when performing the chi-square goodness of fit test.
FALSE, there is no such thing as one sided in chi-square goodness of fit test.
b. The chi-square test statistic follows a Poisson null distribution.
FALSE, chi square is a distribution of its own more like normal distribution.
c. It compares an observed frequency distribution with an expected frequency distribution.
TRUE, because this is what is done in chi-square test.
d. The null hypothesis is that there is no difference between the observed and expected values.
TRUE
e. The degrees of freedom are k - 1, where k is the number of classes.
FALSE, because k is the number of parameters and not the number of classes.
f. The nature of the expected frequency distribution depends on the probability model on which it is based.
TRUE, this is a fact line because the model whose hypothesis testing we are following we will follow expected frequency of that model only.
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If f(x) = 4x+9 and g(x) = x-6, what is f(x) times g(x)?
A.) x^2 - 15x + 8
B.) 4x^2 - 15x - 54
C.) x^2 - 54x - 15
D.) 4x^2 + 8x -54
Answer:
B.) 4x^2 - 15x - 54
Step-by-step explanation:
You want the product f(x)·g(x) when f(x) = 4x+9 and g(x) = x-6.
Binomial multiplicationThe distributive property can be used to find the product. Each term of one binomial is multiplied by every term of the other, and like terms are combined.
f(x)·g(x) = (4x +9)·(x -6)
= 4x(x -6) +9(x -6)
= 4x² -24x +9x -54 = 4x² +(-24 +9)x -54
f(x)·g(x) = 4x² -15x -54 . . . . . . . . . . matches choice B
__
Additional comment
The product of two binomials is sometimes described using the mnemonic FOIL, for First, Outer, Inner, Last. These refer to the locations of the terms involved in the four products
(4x +9)·(x -6) — First(4x +9)·(x -6) — Outer(4x +9)·(x -6) — Inner(4x +9)·(x -6) — LastThese products are the same as the ones we show above.
The FOIL mnemonic is only helpful for two binomials. Any polynomials can be multiplied using the distributive property.
There are five green apples and nine red apples in a basket  what is the ratio of green apples to all apples in the basket ??? what is the ratio of red apples to all apples in the basket ??
The ratio of green apples to all apples in the basket is 5:14 and the ratio of red apples to all apples in the basket is 9:14.
According to the question,
We have the following information:
There are five green apples and nine red apples in a basket.
Now, total apples in the basket are (5+9) which is 14.
Now, the ratio of green apples to all apples in the basket:
Number of green apples : total apples in the basket
5:14
Now, the ratio of red apples to all apples in the basket:
Number of red apples : total apples in the basket
9:14
Hence, the ratio of green apples to all apples in the basket is 5:14 and the ratio of red apples to all apples in the basket is 9:14.
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Your friend asks you to help him study and will pay you 5 dimes the first time you help him. You agree to help if he multiplies your payment by 5 for each study session. After 2 study sessions, you will receive 25 dimes, and after 3 study sessions, you will receive 125 dimes.
Complete and solve the equation that finds the number of dimes he will pay you after the 7th study session
The equation that finds the number of dimes he will pay you after the 7th study session [tex]a_7=5\times5^{7-1}[/tex].
Given that, Your friend asks you to help him study and will pay you 5 dimes the first time you help him.
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.
The formula to find nth term of the geometric sequence is [tex]a_n=ar^{n-1}[/tex].
According to the question,
The geometric sequence is 5, 25, 125,.....
So, r=25/5 =5
Now, [tex]a_7=5\times5^{7-1}[/tex]
= 5×15625
= 78125 dimes
Therefore, the equation that finds the number of dimes he will pay you after the 7th study session [tex]a_7=5\times5^{7-1}[/tex].
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Need help with this please
Answer:
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
a researcher finds a 95% confidence interval for the average commute time in minutes using public transit is (15.75, 28.25). what is the correct interpretation of this interval?
By using the concept of confidence interval, it is obtained that
We are 95% confident that the interval 15.75 < μ < 28.25 contains the population mean commute time in minutes using public transportation.
Second option is correct
What is Confidence interval?
Let the quantity which is to be estimated is [tex]\theta[/tex]. A confidence interval for the parameter θ, with confidence level [tex]\alpha[/tex] is the interval (a, b), where
P(a < [tex]\theta[/tex] < b) = [tex]\alpha[/tex], P is the probability
Here the average commute time in minutes ([tex]\mu[/tex]) is to be calculated
95% confidence interval for the average commute time in minutes using public transit is (15.75, 28.25)
This means that it is 95% confident that the interval (15.75, 28.25) contains the population mean commute time in minutes using public transit
So the correct interpretation is
We are 95% confident that the interval 15.75 < μ < 28.25 contains the population mean commute time in minutes using public transportation.
Second option is correct
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Complete Question
A researcher finds a 95% confidence interval for the average commute time in minutes using public transit is (15.75, 28.25). What is the correct interpretation of this interval?
A) There is a 95% chance commute time in minutes using public transit is between 15.75 and 28.25 minutes.
B) We are 95% confident that the interval 15.75 < μ < 28.25 contains the population mean commute time in minutes using public transportation.
C) We are 95% confident that all commute time in minutes for the population using public transit is between 15.75 and 28.25 minutes.
D) We are 95% confident that the interval 15.75 < μ < 28.25 contains the sample mean commute time in minutes using public transportation.
Which graph represents the function f(x)=(13)−x?
Answer:
Bottom left
Step-by-step explanation:
Let's look at it as (1/3)^x first. This function would have a y-intercept of (0,1) (because (1/3)^0 is 1), and would then become (1/3) times smaller for every 1 unit increment of x. This would look like the top left graph in these options. However, we are given (1/3)^-x, which means, in terms of transformations, that the graph is flipped across the y-axis. Algebraically, this looks like (1/3)^(-x) which equals to [tex]\frac{1}{(1/3)^x}[/tex], which simplifies down to 3^x, which would look like the bottom left graph.
Module 10 Honors Assignment – Geometry
Use the area of the shapes to determine the geometric probability for each problem.
Suppose a dart is thrown at a regular hexagon dartboard with the design
shown. (Reminder: regular polygons have congruent sides and congruent
angles). Find the probability that a dart hits one of the shaded areas. The
white figure is a rectangle. Be sure to show all work.
The probability that a dart hits one of the shaded areas is 1/6 when a dart is thrown at a regular hexagon dartboard with the design shown.
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions.
Here,
angle of hexagon=360/6=60°
using trigonometric ratios,
area of triangle=bh/2
=(h*h√3/2)/2
=h²√3/4
area of hexagon=6*area of triangle
=6*(h²√3/4)
=3√3*h²/2
area of rectangle=bh
=h*h√3
=h²√3
area of shaded region,
=3√3*h²/2-h²√3
=h²√3/2
area of 1 shaded region=(h²√3/2)/2
=h²√3/4
Probability of hitting one shaded area,
=(h²√3/4)/(h²3√3/2)
=1/6
When a dart is thrown at a standard hexagonal dartboard with the pattern shown, the likelihood that it will land in one of the shaded areas is 1/6.
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drake makes custom sails for sailboats. he received an order for a sail that is 8 ft long and 18 feet tall. How many square feet of fabric does he need to make the sail?
Drake needs 144 ft² (squared feet) of fabric to make the 8 ft long and 18 ft tall sail.
What is the area of two lengths?The area (square units) of two lengths is the product of the multiplication of the two lengths.
The area refers to the space occupied by a two-dimensional object or structure.
Areas are stated in square feet to show the squared units occupied by such objects.
The length of a sail = 8 feet
The height of the sail = 18 feet
The square area = 144 ft² (8 x 18)
Thus, Drakes requires a fabric measuring 144 ft² (squared feet) to make the sail.
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Steve drives an electric car. He can drive 425 kilometres before he needs to stop and re-charge his car. It takes 10 minutes to charge 50 kilometres. How long does Steve have to wait for his car to fully charge?
Answer:
Step-by-step explanation:
The question is asking how many times does 50 go into 425?
or 450/50 = ?
my calculator says it's 9 . What does your calculator say?
since we now know it's 9 times, we can just multiply 9 * 10 minutes
by observation of 9*10, I get the answer, what answer do you get?
A carpenter cuts a board 3 3/8 A carpenter cuts a board 6 1/2 feet long.How long is the remaining piece of board? (Simplify your answer and write it as a mixed number.)
Answer:
Subtract 3 3/4 from 10 1/2. Note that the LCD is 4, so 10 1/2 = 10 2/4.
What is 10 2/4
- 3 3/4
-------------------------
?
Since 2/4 is smaller than 3/4, you must borrow 1 from that 10.
Now your problem looks like 9 6/4
-3 3/4
----------
6 3/4 (answer)
The remnant of the board is 6 3/4 feet long.
Step-by-step explanation:
4 students have different heights. Their average is 64.5 inches. The shortest is 62 inches and the tallest is 68 inches. If the middle two have the SAME height, how tall are each of them?
Please help, 50 points. Show your work!!! I need it or I wont get a mark.
The height of each of the two students is 64
What is the mean of data?The mean (aka the arithmetic mean, different from the geometric mean) of a dataset is the sum of all values divided by the total number of values. It’s the most commonly used measure of central tendency and is often referred to as the “average.”
Let the heights of each of the two students be x,
so that x, x, 68 and 62 are the heights of the four students
Average height which is 64.5 = [tex]\frac{x + x + 62 + 68}{4}[/tex]
[tex]\frac{x + x + 62 + 68}{4}[/tex] = 64.5
by cross multiplying,
x + x + 62 + 68 = 4 x 64.5
2x + 130 = 258
collecting like terms,
2x = 258 - 130
2x = 128
x = 128/2
x = 64 inches
In conclusion the height of each of the 2 students with equal height is 64 inches.
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What is the standard deviation for the set of data { 6,7,8,9,10}? Find the standard deviation by completing the table.
Standard deviation for the given set of data { 6,7,8,9,10} is equal to √2.
As given in the question,
Given set of data is equal to :
{ 6,7,8,9,10}
[tex]x_{i}[/tex] = { 6,7,8,9,10}
Here total number of observation 'N' is equal to 5.
Mean [tex]\bar{x}[/tex] = ∑x / n
= ( 6+ 7+ 8 + 9 + 10 ) / 5
= 40 /5
= 8
[tex]\sum (x_{i} -\bar{x})^{2}[/tex] = ( 6- 8)² + (7-8)² + (8 - 8)²+ ( 9 -8)² + (10 - 8)²
= 4 + 1+ 0 + 1+ 4
= 10
Standard deviation = [tex]\sqrt{ \frac{\sum (x_{i} -\bar{x})^{2}}{N}[/tex]
= √10/5
= √2
Therefore, standard deviation for the given set of data { 6,7,8,9,10} is equal to √2.
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If the geometric mean of 10 and x is 30, what is the value of x?
Step-by-step explanation:
10 + x = 30
or, x = 30 - 10
x = 20
help due a week ago!!!!!!!!!!!!!!!!!!!
Answer:
5+0.1x=3-0.9x
2=-0.10x
1=-0.5x
x=-2
Answer is B good luck comrade<33!!
a square has a perimeter of 12 ft what is the length of each side
Answer:
3 feet
Step-by-step explanation:
All 4 sides are equal so 12/4=3
What is the slope in this equation?
y+7=10(x-4)
Answer:
slope = 10
Step-by-step explanation:
Solve the equation for "y". In other words, isolate "y":
y + 7 = 10(x - 4)
y = 10(x - 4) - 7
y = 10x - 40 - 7
y = 10x - 47
Above is a linear expression in slope-intercept form "y = mx + b", where "m=slope" and "b=y-intercept". "m=10", so 10 is the slope
the product of 5 and the sum of 3 times a number and 4
Answer:
it is written as 5(3x+4)
Expand 2x(3x+y) how do you do this please help
Josef paid $10for 6 avocados at the store he wants to know the price of 3 avocados
Answer:
$5
Step-by-step explanation:
Since $10 for 6 avocados and 3 = half of 6,
You would half $10 too = $5
Answer:
$5
Step-by-step explanation:
divide both numbers by 2 and there is your answer
Help me please I dont know
PLS HELP!!
Cruz had d $10 bills and 4 fewer $20 bills than he has $10 bills. Enter an algebraic expression to represent how much money Cruz has in dollars. Simplify the expression, if possible.
Answer:Here's the basic equation
m(d) = 10d + 20(d - 2) (the money total is the 10 dollar bills plus the 20 dollar bills (which are two less than the 10 dollars))
Step-by-step explanation:
To simplify it, start by distributing the 20:
m(d) = 10d + 20d - 40
add like terms
m(d) = 30d - 40
In one week, a printing center made 1,233 copie of a 26 page article. The printing center alo printed 658 copie of a 12 page eay. How many page did the printing center print during the week?
As per given data of printing, the total number of pages print by printing center during the week is equal to 39,954 pages.
As given in the question,
Number of copies of 26 pages article print by printing center is equal to 1,233 copies
Number of copies of 12 page article print by printing center is equal to 658 copies
Total number of pages print by printing center during this one week is equal to
= ( 1233 × 26 ) + ( 658 × 12 )
= 32,058 + 7896
=39,954 pages
Therefore, for the given data of printing, the total number of pages print by printing center during the week is equal to 39,954 pages.
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helppppp meeee
-1+|x+4,5|=-6,2
Answer:
x= 2.7,-11.7 (sorry if im wrong) :'C
HELP PLS
Find the y-intercept of the line on the graph.
Enter the correct answer.
Answer:
-4
Step-by-step explanation:
The line intercepts at the y axis on exactly -4.
Answer:
The y-intercept is (0,-4).
Step-by-step explanation:
You can see that for the y-axis, that is the first point the line passes through. Hope this helps! Good luck! I am up doing math too. -_- Don't mark me brainliest, I just like to help.
can someone help me?
Answer:
B
Step-by-step explanation:
1.20x + 3.60 < 9.60
1.20x < 9.60 - 3.60
1.20x < 6
x < 6 ÷ 1.20
x < 5
a population has a mean of 75 and a standard deviation of 10. samples of size 50 are chosen and the sample means are recorded. what is the expected value of the sample mean?
A population has a standard deviation of 10 and a mean of 75.
The sample mean has a standard deviation of 5 and an expectation of 100.The empirical rule states that there is a 68% probability of being between 95 and 105 (within one standard deviation of its expected value) if it is approximately normal.
What is meant by a standard deviation?
A measure of how dispersed the data are in relation to the mean is called the standard deviation (or ).Data with a low standard deviation are grouped around the mean, while data with a high standard deviation are more dispersed.
How can I determine the standard deviation?
Step 1: Locate the mean. Step 2: Find the square of the distance from the mean for each data point. Step 3: Sum the results of Step 2's values. Step 4: Divide by how many data points there are.
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