The spread of the numbers 2, 1, 4, 3, 5, 1, 1, 2 using standard deviation is approximately 1.768.
We must first determine the mean (average) of the numbers in order to use the standard deviation to determine the spread (i.e., variability) of the set of data.
By adding up all the numbers and dividing by the total number of numbers, the mean is calculated:
mean = (2 + 1 + 4 + 3 + 5 + 1 + 1 + 2) / 8
= 19 / 8
≈ 2.375
The difference between each number and the mean is then determined:
2 - 2.375 = -0.375
1 - 2.375 = -1.375
4 - 2.375 = 1.625
3 - 2.375 = 0.625
5 - 2.375 = 2.625
1 - 2.375 = -1.375
1 - 2.375 = -1.375\s2 - 2.375 = -0.375
Then, each of these discrepancies is squared:
(-0.375)^2 = 0.140625
(-1.375)^2 = 1.890625
(1.625)^2 = 2.640625
(0.625)^2 = 0.390625
(2.625)^2 = 6.890625
(-1.375)^2 = 1.890625
(-1.375)^2 = 1.890625
(-0.375)^2 = 0.140625
The variance is then calculated as the average of these squared differences:
variance is equal to 3.125 x (0.0140625 x 1.890625 x 2.640625 x 0.390625 x 6.890625 x 1.890625 x 0.140625).
Lastly, we calculate the standard deviation by taking the square root of the variance:
(3.125) 1.768 is the standard deviation.
As a result, using standard deviation, the range of the digits 2, 1, 4, 3, 5, 1, 1, 2 is almost 1.768.
To know more about Standard Deviation visit:
https://brainly.com/question/23907081
#SPJ1
The spread οf the numbers 2, 1, 4, 3, 5, 1, 1, 2 using standard deviatiοn is apprοximately 1.768.
How to find the spread of numbers?We must first determine the mean (average) οf the numbers in οrder tο use the standard deviatiοn tο determine the spread (i.e., variability) οf the set οf data.
By adding up all the numbers and dividing by the tοtal number οf numbers, the mean is calculated:
mean = (2 + 1 + 4 + 3 + 5 + 1 + 1 + 2) / 8
= 19 / 8
≈ 2.375
The difference between each number and the mean is then determined:
2 - 2.375 = -0.375
1 - 2.375 = -1.375
4 - 2.375 = 1.625
3 - 2.375 = 0.625
5 - 2.375 = 2.625
1 - 2.375 = -1.375
[tex]1 - 2.375 = -1.375\s2 - 2.375 = -0.375[/tex]
Then, each οf these discrepancies is squared:
(-0.375)² = 0.140625
(-1.375)² = 1.890625
(1.625)² = 2.640625
(0.625)² = 0.390625
(2.625)² = 6.890625
(-1.375)² = 1.890625
(-1.375)² = 1.890625
(-0.375)² = 0.140625
The variance is then calculated as the average οf these squared differences:
variance is equal tο 3.125 x (0.0140625 x 1.890625 x 2.640625 x 0.390625 x 6.890625 x 1.890625 x 0.140625).
Lastly, we calculate the standard deviatiοn by taking the square rοοt οf the variance:
(3.125) 1.768 is the standard deviatiοn.
As a result, using standard deviatiοn, the range οf the digits 2, 1, 4, 3, 5, 1, 1, 2 is almοst 1.768.
To know more about Standard Deviation visit:
brainly.com/question/23907081
#SPJ1
a file that is 278 megabytes is being downloaded. if the download is 19.7% complete, how many megabytes have been downloaded? round your awnser to the nearest tenth
If A file that is 278 megabytes is being downloaded and the download is 19.7% complete, then you just need to multiply the 278 megabytes with 19.7%
The calculation would be: 278 megabytes x 0.197 = 54.766 megabytes.
If you round up the answer to nearest tenth it will be 54.8 megabytes.
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION?
The trigonometric ratio for the cosine of the angle W derived as 48.18712, is equal to 0.6667.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
cos W = 10/15 {adjacent/hypotenuse}
cos W = 2/3
W = cos⁻¹(2/3) {cross multiplication}
W = 48.18712
cos W = cos 48.18712
Therefore, the cosine of the angle W is equal to using the trigonometric ratio.
Know more about trigonometric ratios here: https://brainly.com/question/11967894
#SPJ1
(d.) (I + 2A)
−1 =
−1 2
4 5 !
where I is the identity matrix
We can write the addition matrix as -
(I + 2A) →
[- 1 4]
[8 11]
What is identity matrix?The identity matrix is the only idempotent matrix with non-zero determinant.
Given is the matrix relation as -
(I + 2A)
We can write the addition of matrix as -
(I + 2A) →
[1 0]
[0 1]
+
2[-1 2]
2[4 5]
(I + 2A) →
[1 0]
[0 1]
+
[-2 4]
[8 10]
(I + 2A) →
[- 1 4]
[8 11]
Therefore, we can write the addition matrix as -
(I + 2A) →
[- 1 4]
[8 11]
To solve more questions on matrices, visit the link below-
https://brainly.com/question/30672622
#SPJ1
the spaghetti has ? g of fibers per serving
The correct answer is 4g. Spaghetti is a great source of fiber, with 4g per serving.
What is fiber?Fiber is a type of carbohydrate found in plant-based foods. It is not digested or absorbed by the body, but instead passes through the digestive system and out of the body. Fiber helps promote healthy digestion by adding bulk to the stool, helping it to pass through the intestines more quickly.
Fiber is an essential part of a healthy diet. It helps to keep your digestive system functioning properly, reduce cholesterol levels, and aid in weight management. It can be found in many plant-based foods, as well as some animal-based products. Spaghetti is a great source of fiber, with 4g per serving. This is a good amount for a meal, and it can help you meet your daily fiber needs. Eating a variety of foods that are high in fiber can help you stay healthy and reach your dietary goals. Getting enough fiber in your diet can also help reduce your risk of diabetes, heart disease, and stroke. So, the correct answer is 4g of fiber per serving of spaghetti.
For more information about healthy diet,
https://brainly.com/question/25365932
#SPJ1
Two customers spent the same total amount of money at a restaurant.
- The first customer bought 8 hot wings and left a $4 tip.
- The second customer bought 10 hot wings and left a $2.80 tip.
- Both customers paid the same amount per hot wing.
How much does one hot wing cost at this restaurant in dollars and cents?
One hot wing costs 60 cents at this restaurant.
What are unknown variables?A variable in an equation that has to be solved for is known as an unknown.
A polynomial or formal power series may contain an indeterminate symbol, often known as a variable. In the polynomial ring or the ring of formal power series, an indeterminate is a constant rather than a variable. Nonetheless, many writers view indeterminates as a distinct class of variables because of the close connection between polynomials or power series and the functions that they describe.
Let's us assume that the cost of one hot wing is x dollars.
Then,
Total amount spent by each customer:
8x + 4 = 10x + 2.8
8x - 10x = 2.8 - 4
-2x = -1.2
x = 0.6
Therefore, one hot wing costs 60 cents at this restaurant.
Learn more about variable here:
https://brainly.com/question/29696241
#SPJ1
Which is greater?
0.59 or 1/4
Ms. Monroe ordered 24 costumes from Tip-Tap dance supply for each of her dance students to wear at an upcoming recital. Since she ordered during the store's end-of-season sale, Tip-Tap took $3.50 off the price of each costume. Ms. Monroe paid $516 in all.
Answer:
the original price of each costume was $25, and the sale price was $(25-3.50) = $21.50.
Step-by-step explanation:
Let the original price of each costume be $x. The sale price of each costume will be $(x-3.50). Ms. Monroe ordered 24 costumes, so the cost of 24 costumes at the sale price will be:
24 × (x-3.50) = $24x - $84
Ms. Monroe paid $516 in all, so we can write:
24x - 84 = 516
Adding 84 to both sides, we get:
24x = 600
Dividing both sides by 24, we get:
x = 25
Therefore, the original price of each costume was $25, and the sale price was $(25-3.50) = $21.50.
Answer: so Ms.Monroe got $84 off her entire purchase
Step-by-step explanation: I hope it helps
Amir got $100 for his birthday. He wants to buy a pitching machine that costs $44 and as many baseballs as he can with the money. The baseballs cost $1.25 each. Amir found a coupon for 20% off the baseballs at the sporting goods store but he isn't sure if the coupon is expired. Determine the number of baseballs he can buy if he can use the coupon, and how many he can buy if he can't use the coupon.
Answer:
Without coupon: 44 baseballs
With coupon: 56 baseballs
Step-by-step explanation:
Amount that Amir got as a birthday present = $100Cost of pitching machine = $44Amount left over for buying baseballs = 100 - 44 = $56Cost of each baseball without coupon = $1.25Number of baseballs that Amir can buy at $1.25 per baseballIf the coupon works, the cost per baseball is reduced by 20%20% = 20/100 = 0.2 in decimalDiscount in $ at 20% discount = 1.25 x 0.2 = $0.25Cost after discount = $1.25 - $0.25 = $1Therefore number of baseballs that can be bought with coupon
Dairy Queen, as part of Warren Buffet’s Berkshire Hathaway (BRKA) with 6,400 locations in the USA, gave away free ice cream cones to celebrate its 75th anniversary. If Warren Buffet has a bond bought at 105.25 at 4.75%, what is the current yield?
Current yield = 4.51%
What is the price of a bond?The price of a bond is equal to the future cash flows' present value, discounted at the appropriate discount rate—the yield to maturity.
The price of a bond is the amount that investors are willing to spend on an existing bond. Bond prices are stated as a percentage of face (par) value in the online offering table and statements you get.
Current Yield=Annual Cash Inflows/Market Price
Annual cash flow is 4.75% of 100 = $4.75
Market Price of Bond = $105.25
Current Yield = 4.75/105.25
=4.51%
To know more about price of a bond, visit:
https://brainly.com/question/25596583
#SPJ1
The demand equation for a certain product is given by p = 128 − 0.04 x , where p is the unit price (in dollars) of the product and x is the number of units produced. The total revenue obtained by producing and selling x units is given by R = x p . Determine prices p that would yield a revenue of 7840 dollars. Lowest such price = dollars Highest such price = dollars
So the lowest price that yields a revenue of $7840 is $32 and the highest price is $64.
What constitutes the basic unit of a number?The first ten integers are the basic numbers in mathematics. The range of these vital values is 0 to 9. Basic integers in the 0 to 9 range include 0 through 1, 2, 3, 4, 5, 6, 7 and 8.
The total revenue from selling x units is given by:
R = xp
Substituting the demand equation p = 128 - 0.04x, we get:
R = x(128 - 0.04x)
R = 128x - 0.04x²
To find the prices that yield a revenue of $7840, we can set R equal to 7840 and solve for x:
7840 = 128x - 0.04x²
0.04x² - 128x + 7840 = 0
Dividing both sides by 0.04, we get:
x² - 3200x + 196000 = 0
Using the quadratic formula, we can solve for x:
x = [3200 ± √(3200² - 4(1)(196000))] / 2
x = [3200 ± √(10240000)] / 2
x = [3200 ± 3200] / 2
x = 1600 or x = 2400
Therefore, the corresponding prices that yield a revenue of $7840 are:
p = 128 - 0.04x
p = 128 - 0.04(1600) = 64 dollars
p = 128 - 0.04(2400) = 32 dollars
So the lowest price that yields a revenue of $7840 is $32 and the highest price is $64.
To know more about number visit:
https://brainly.com/question/17429689
#SPJ1
please help i need help !!!!!! is this promotional or not please help me
Answer:
I would say "not proportional" only because it's graphed on a dotted line.
If I were you, I would wait on a second opinion.
graph the line with y-intercept 1 and slope 4
Answer:
y = 4x + 1
Step-by-step explanation:
Let's graph it in slope intercept form y = mx + b
m = the slope
b = y-intercept
m = 4
b = 1
So, the equation is y = 4x + 1
Please help!!
Complete the identity
cos^2 θ/2=?
According to algebraic identities ,
[tex] \cos( \frac{ \theta}{2} ) = \sqrt{ \frac{1 + \cos(\theta) }{2} } \\ [/tex]
Therefore ,
[tex]\boxed{ { \cos}^{2} (\frac{\theta}{2} ) = \frac{1 + \cos(\theta) }{2} } \\ [/tex]
hope helpful! :)
Answer:
Using the half-angle formula for cosine, we can express cos(θ/2) in terms of the values of cos θ and sin θ:
cos(θ/2) = ±√[(1 + cos θ)/2]
The sign of the square root depends on the quadrant in which θ/2 lies.
Since we are given cos^2 θ/2, we need to eliminate the square root in the expression for cos(θ/2). To do this, we can use the fact that:
sin^2 θ/2 = 1 - cos^2 θ/2
Substituting the expression for cos^2 θ/2 from the previous identity, we get:
sin^2 θ/2 = 1 - cos^2 θ/2 = 1 - cos^2 (θ/2)
Solving for cos(θ/2) in terms of sin(θ/2), we get:
cos(θ/2) = ±√[1 - sin^2 θ/2]
Substituting the expression for sin^2 θ/2 from above, we get:
cos(θ/2) = ±√[cos^2 θ/2]
The sign of the square root depends on the quadrant in which θ/2 lies. Therefore, the completed identity for cos^2 θ/2 is:
cos(θ/2) = ±cos θ/2
Step-by-step explanation:
HELP ASAP, WILL GIVE FIRST ANSWER BRAINLIEST, 53 PIOINTS
Polygon JKLM is drawn with vertices J(−2, −5), K(−4, 0), L(−1, 2), M (0, −1). Determine the image coordinates of L′ if the preimage is translated 9 units up.
L′(7, 2)
L′(−1, 11)
L′(−13, 2)
L′(−1, −9)
Answer:
the correct option is: L′(-1, 11).
Step-by-step explanation:
To translate the preimage 9 units up, we need to add 9 to the y-coordinate of each vertex of the polygon. Thus, the image of polygon JKLM after the translation will have vertices J′(−2, 4), K′(−4, 9), L′(−1, 11), M′(0, 8). Therefore, the image coordinates of L′ are (-1, 11).
After translation the image coordinates of L' is (-1, 11). Therefore, option B is the correct answer.
Given that, Polygon JKLM is drawn with vertices J(-2, -5), K(-4, 0), L(-1, 2), M (0, -1).
When the shape is moved up by k units, then replace y with y + k.
The translation is as follows:
Here, J(-2, -5) → (-2, -5+9) → J'(-2, 4)
K(-4, 0) → (-4, 0+9) → K'(-4, 9)
L(-1, 2) → (-1, 2+9) → (-1, 11)
M(0, -1) → (0, -1+9) → (0, 8)
Therefore, option B is the correct answer.
To learn more about the translation visit:
https://brainly.com/question/17485121.
#SPJ2
Sam wants to buy a video game that costs $125, He has already saved $50 so far. He tutors
a neighborhood kid to make extra money and earns $15 per session. Which inequality can
be used to determine the number of sessions, s, he needs to conduct to have enough money
to buy the video game?
A. 15x + 50 ≥ 125
B. 15x + 50 ≤ 125
C. 50x + 15 ≥ 125
D. 50x + 15 ≤ 125
Answer:
We can use inequality B to determine the number of sessions Sam needs to conduct. The reason is that he already has $50 and he wants to have enough money, so he needs to earn the remaining amount through tutoring. Thus, we can write the inequality as:
15s + 50 ≥ 125
where s is the number of tutoring sessions he needs to conduct. We can simplify and solve for s as follows:
15s ≥ 75
s ≥ 5
Therefore, Sam needs to conduct at least 5 tutoring sessions to have enough money to buy the video game.
Show that T(u,v)=(u^2−v^2,2uv)T(u,v) maps the triangle ={(u,v):0≤v≤u≤1} to the domain D bounded by x=0, y=0, and y^2=4-4x. Use T to evaluate
The area of the image of the triangle under T is 5/9.
What is Triangle?
In geometry, a triangle is a closed two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is characterized by its three vertices (points where two sides intersect) and three sides (line segments that connect the vertices). The sum of the interior angles of a triangle is always 180 degrees, and the length of each side is less than the sum of the lengths of the other two sides.
To show that T maps the given triangle to the domain D, we need to find the image of the three vertices of the triangle under T and then show that the image lies inside D.
Let's first consider the vertex (0,0) of the triangle. Applying T, we get T(0,0) = (0,0). So the image of the vertex (0,0) is the origin, which clearly lies inside D.
Now let's consider the vertex (1,1) of the triangle. Applying T, we get T(1,1) = (0,2), which lies on the y-axis and satisfies y²=4-4x, so it lies inside D.
Finally, let's consider the vertex (u,0) of the triangle, where 0≤u≤1. Applying T, we get T(u,0) = (u²,0). This lies on the x-axis and satisfies y²=4-4x only when x=1, which is outside D. Therefore, the image of this vertex is not inside D.
Hence, we can conclude that T maps the triangle to the domain D, except for the line segment {(u,0):0≤u≤1}.
To evaluate the area of the image, we can use the fact that the area of the image of a region under a transformation is equal to the absolute value of the determinant of the Jacobian matrix of the transformation, multiplied by the area of the original region.
The Jacobian matrix of T is given by
J(T) = [2u -2v]
[2v 2u]
The absolute value of the determinant of this matrix is 4u² + 4v², so the area of the image of the triangle is
∫∫R 4u²+4v² dA,
where R is the region in the uv-plane corresponding to the triangle.
Integrating over R, we get
∫0 ∫v 4u²+4v² dudv
= ∫0 (4/3) (1-v³+3v²) dv
= (4/3) (1/4 - 1/16 + 1/3 - 1/12)
= 5/9.
Therefore, the area of the image of the triangle under T is 5/9.
To know more about Triangle visit:
https://brainly.com/question/1058720
#SPJ1
GRAPHING EXPONENTIAL FUNCTIONS! BRAIN REWARD
Answer:
Step-by-step explanation:
SEE THE ATTACHMENT
please helpppppp!!!!!!!!!!!
The percent of the fluid ounces under 60 is option D. Not here
How do you calculate the percent of the fluid ounces?To calculate the percentage of fluid ounces, you first need to determine the total volume of the container in fluid ounces. Then, you need to determine the volume of the specific substance that you are interested in as a fraction of the total volume. Finally, you can convert this fraction into a percentage by multiplying it by 100.
Here's the formula to calculate the percentage of fluid ounces:
Percentage of fluid ounces = (Volume of substance in fluid ounces ÷ Total volume of container in fluid ounces) x 100%
For example, if you have a 16 fluid ounce container of juice and you want to know what percentage of the container is filled with orange juice, and you measure that there are 4 fluid ounces of orange juice, you can calculate the percentage of orange juice as follows:
Percentage of orange juice = (4 fluid ounces ÷ 16 fluid ounces) x 100% = 25%
Therefore, the orange juice fills 25% of the 16 fluid ounce container. It could then be concluded that the percent of the fluid ounces is not here.
learn more about percent of the fluid ounces: https://brainly.com/question/13227650
#SPJ1
Consider that over 3.8 inches of rain fell in Lansing, Michigan on Monday, August 11th, 2016 from 11 AM to 2 PM. News reporters want to know if that sets the record for the city. In 1905, a record 1.2 inches of rain fell each hour for 3 hours. Which is the greater rainfall? please hurry
Answer:
lansing Michigan has more rain
Step-by-step explanation:
In a basket of apples, 12% of them
are rotten and 66 are in good
condition. Find the total number of
apples in the basket.
Answer:
The total number of apples is 550
Step-by-step explanation:
12% - Turn into a fraction of 12/100
12/100
X = total number of apples
*Make another fraction of x the denominator and the 66 that are in good condition as the numerator*
12/100 = 66/X
Cross multiply
12 * X = 12x
66 * 100 = 6600
Divide
6600/12 = 12x/12 - cancel
6600/12= 550
X = 550
Identify the inequality graphed on the number line.
A. x _> 14
B. x < 14
C. x > 14
D. x _< 14
D. x ≤ 14
Hope this helped :)
7(x+8)=49
i know the answer but tell me how did you solve it only with numbers and mathematical letters nothing else
A photocopier enlarges in the ratio 7:4 what would be the new size of a diagram measuring 16 cm and 12cm?
Answer:
The new size of the diagram would be 28 cm by 16.8 cm. This is calculated by multiplying the original dimensions of 16 cm and 12 cm by the ratio of 7:4. Therefore, the new width of the diagram would be 16 cm x 7 = 112 cm and the new height would be 12 cm x 4 = 48 cm. The new size of the diagram is therefore 112 cm by 48 cm, which can be simplified to 28 cm by 16.8 cm
Step-by-step explanation:
A photocopier that enlarges in the ratio 7:4 will increase the size of the diagram by a factor of 7/4. To find the new size of the diagram, we can multiply the original measurements by the factor of enlargement.
The new width of the diagram will be:
16 cm × 7/4 = 28 cm
The new height of the diagram will be:
12 cm × 7/4 = 21 cm
Therefore, the new size of the diagram will be 28 cm by 21 cm.
Answer: The new size of the diagram will be 28 cm by 21 cm.
100 POINTS HELPPPPPPPPPPPPPPPPPPPPP
Answer:
b or a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
HELPPPP MEEEE
I NEED TO TURN IN THIS LATE MATH HOMEWORK
Answer:
I think is D
Step-by-step explanation:
because
R:622 and Y:410
Find the time it takes for $9,300 to double when invested at an annual interest rate of 20%, compounded continuously.
It takes apprοximately 3.5 years fοr an investment with an annual interest rate οf 20%, cοmpοunded cοntinuοusly, tο dοuble frοm $9,300 tο $18,600.
What is cοmpοund interest?Cοmpοund interest is a sοrt οf interest that is calculated using bοth the principal—the initial amοunt invested οr bοrrοwed—and the interest that has accrued οver time. In οther wοrds, the interest fοr the fοllοwing periοd is cοmputed οn the new, larger amοunt after the interest generated during each periοd has been added tο the principal.
Cοmpοund interest can be explained as interest οn interest. The principle grοws οver time at a rising rate as the interest generated in each periοd is added tο it. Because οf this, cοmpοund interest is an effective instrument fοr lοng-term investing and saving.
Fοr instance, if yοu put $1,000 intο an accοunt with a cοmpοund interest rate οf 5%, yοu will receive $50 in interest the first year. Yοur tοtal sum at the end οf the first year will be $1,050 (the initial $1,000 plus $50 in interest). Yοu will receive $52.50 in interest since in the secοnd year the interest is cοmputed οn $1,050 rather than $1,000. This will increase yοur οverall balance tο $1,102.50 by the cοnclusiοn οf the secοnd year, and sο οn fοr succeeding years.
In cοnclusiοn, cοmpοund interest can be a pοtent tοοl fοr lοng-term grοwth οf yοur savings οr investments, but it's critical tο cοmprehend hοw it wοrks and pick assets with cοmpetitive interest rates and lοw expenses.
Tο find the time it takes fοr an investment tο dοuble with cοntinuοus cοmpοunding, we can use the fοrmula:
[tex]t = ln(2) / (r \times ln(1 + r))[/tex]
where:
t is the time it takes fοr the investment to double
r is the annual interest rate as a decimal
In this case, the annual interest rate is 20%, or 0.20 in decimal fοrm. So,
we can plug in the values and sοlve for t:
[tex]t = ln(2) / (0.20 \times ln(1 + 0.20))\\t = 3.5 years[/tex]
Therefore, it takes apprοximately 3.5 years for an investment with an annual interest rate of 20%, compounded continuously, to dοuble from $9,300 tο $18,600.
To knοw more about compound interest visit:
brainly.com/question/12325365
#SPJ1
please help thankss
:) g
Answer:
origin
Step-by-step explanation:
the point (0,0) is called the origin
Answer:
The center of a coordinate plane, which is point (0,0) is called "the origin."
Step-by-step explanation:
Write the equation of a rational function that has been reflected, shifted down 6, right 8, and stretched by a factor of 4.
To write the equation of a rational function that has been reflected, shifted 6 down, 8 to the right and stretched by a factor of 4, we have to start with the basic rational function which is:
f(x)= 1/xThe reflected function we multiply it by -1 resulting in: g(x)= -1/xHow to shift a function?To shift it down by 6, we must subtract 6 from the function, so we have:
h(x) = -1/x-6To shift the function to the right by 8, we substitute x for (x-8), finding this result:
i(x)= -1/(x-8)-6To stretch the function by a factor of 4, we have to multiply the denominator by 4, which will result in:
j(x)= -1/4(x-8))-6Therefore, the equation of the rational function will be:
j(x)= -1/(4(x-8)) -6Find out more about rational function on:
https://brainly.com/question/19044037
#SPJ1
Five students came for after-school tutoring. Lin’s teacher assigned each of them the same number of problems to complete. Then he assigned each student 2 more problems. 30 problems were assigned in all.
The number of problems assigned initially to each student by Lin’s teacher is 4.
What is an Equations?Equations are mathematical statements that have two algebraic expressions on either side of equals (=) sign. The phrases written on the left and right sides are equal, as shown by this example.
Equations can be resolved in order to ascertain the value of a variable that represents an unknowable quantity. In the absence of the "equal to" symbol, a statement is not an equation. That will be taken into consideration as a phrase.
Lin’s teacher assigned each of them the same number of problems to complete.
Total number of problems assigned by Lin's teacher to students = 30
Let the total number of problems assigned to each student initially be x
So, the number of problems assigned to all the students initially = 5x
Also it is given that Lin's teacher assigns 2 more problems to each student
which means he gives 10 more problems to solve
5x+10 = 30
5x = 20
x = 4
Hence, The number of problems assigned initially to each student by Lin’s teacher is 4.
Learn more about equations, by the following link
brainly.com/question/2972832
#SPJ1
Write an equation for the relation.
X
У
Find f(50).
1
7.6
The equation is
2
4.6
3
1.6
; f(50) is
4
|-1.4
5
-4.4
3 pts
An equation for the relation is y = -3x + 10.6.
f(50) is -139.4.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.At point (1, 7.6), an equation of this line can be calculated by using the point-slope form:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 7.6 = (4.6 - 7.6)/(2 - 1)(x - 1)
y - 7.6 = -3(x - 1)
y = -3x + 3 + 7.6
y = -3x + 10.6
For f(50), we have:
y = -3x + 10.6
y = -3(50) + 10.6
y = -150 + 10.6
y = -139.4
Read more on equation here: https://brainly.com/question/14774311
#SPJ1
