There is an 8.1% probability that any given distance will exceed 212.50 cm.
What is probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place.
Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
I frequently remind kids that we can express probabilities as ratios, percentages, fractions, or decimals so they are aware of the variety of ways we express odds.
So, the probability that the individual distance is greater:
z = 212.50-200/8.9 = 1.4
Looking up 1.4 in the normal distribution table:
P(z>1.4) = 1 - 0.9192 = 0.0808
= 8.1%
Therefore, there is an 8.1% probability that any given distance will exceed 212.50 cm.
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Complete question:
The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.9 cm.
a. find the probability that an individual distance is greater than 212.50 cm.
JP Sports sold football boots on its first day of release. SoccerWorld sold 3 as many boots as JP Sports. DirectSportz sold 5 more boots than JP Sports. Each pair of football boots costs £70 The amount of sales from this particular boot totalled £7000
Work out how many pairs were sold by SoccerWorld.
The total number of pairs sold by SoccerWorld is 57
How to determine the total number of pairs sold by SoccerWorld?From the question, we have the following parameters that can be used in our computation:
SoccerWorld sold 3 as many boots as JP SportsDirectSportz sold 5 more boots than JP Sports. Cost of each pair = £70 Amount in sales = £7000The above parameters means that
s = 3j
d = 5 + j
70(s + d + j) = 7000
Where
j = JP Sports
s = SoccerWorld
d = DirectSportz
Divide both sides of 70(s + d + j) = 7000 by 70
s + d + j = 100
Substitute s = 3j and d = 5 + j
3j + 5 + j + j = 100
Evaluate the like terms
5j = 95
Divide by 5
j = 19
Substitute j = 19 in s = 3j
s = 3 * 19
So, we have
s = 57
Hence, the number of pairs is 57
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A 6th grade cla did a weekend fitne challenge. Each tudent et a goal of `75` minute of fitne. Amanda exercied for `78` minute. What percent of the goal did he achieve?
Answer: 104%
Step-by-step explanation:
75/78=1.04
all values of x by factoring.
X
x2
x² - 9x - 20 = -2x - 2
Answer:
Step-by-step explanation:
Solve by Factoring 2x^2-9x=x^2-20. 2x2−9x=x2−20 2 x 2 - 9 x = x 2 - 20. Step 1. Move all the expressions to the left side of the equation.
:)
the equation of a line is y = 4x + 8
what is the y-intercept of the line?
Answer:
The y-intercept is 8.
multiplications of matrices
The value of matrix multiplication is
a) [tex]C = \begin{pmatrix}14&20\\ 32&46\end{pmatrix}[/tex]
b) [tex]C = \begin{pmatrix}7&35\\ 8&42\end{pmatrix}[/tex]
c) [tex]C = \begin{pmatrix}22&32\\ 26&38\end{pmatrix}[/tex]
d) [tex]C =\begin{pmatrix}-3&-5\\ 34&52\end{pmatrix}[/tex]
What is multiplication of matrices?
The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix
Given data ,
a)
Let the first be A
[tex]A = \left[\begin{array}{ccc}1 &2 \\ 3 & 4 \\\end{array}\right][/tex]
Let the second matrix be B
[tex]B = \left[\begin{array}{ccc}4 &6 \\ 5 & 7 \\\end{array}\right][/tex]
Now , the product of matrices A and B is C
where the matrix C is A x B
[tex]C = \begin{pmatrix}1\cdot \:4+2\cdot \:5&1\cdot \:6+2\cdot \:7\\ 3\cdot \:4+4\cdot \:5&3\cdot \:6+4\cdot \:7\end{pmatrix}[/tex]
On simplifying the matrix C , we get
[tex]C = \begin{pmatrix}14&20\\ 32&46\end{pmatrix}[/tex]
Therefore , the value of matrix is [tex]C = \begin{pmatrix}14&20\\ 32&46\end{pmatrix}[/tex]
b)
Let the first matrix be A
[tex]A = \left[\begin{array}{ccc}3 &5 \\ 4 & 6 \\\end{array}\right][/tex]
Let the second matrix be B
[tex]B = \left[\begin{array}{ccc}-1 &0 \\ 2 & 7 \\\end{array}\right][/tex]
Now , the product of matrices A and B is C
where the matrix C is A x B
[tex]C = \begin{pmatrix}3\left(-1\right)+5\cdot \:2&3\cdot \:0+5\cdot \:7\\ 4\left(-1\right)+6\cdot \:2&4\cdot \:0+6\cdot \:7\end{pmatrix}[/tex]
On simplifying the matrix C , we get
[tex]C = \begin{pmatrix}7&35\\ 8&42\end{pmatrix}[/tex]
Therefore , the value of matrix is [tex]C = \begin{pmatrix}7&35\\ 8&42\end{pmatrix}[/tex]
c)
Let the first matrix be A
[tex]A = \left[\begin{array}{ccc}4 &6 \\ 5 & 7 \\\end{array}\right][/tex]
Let the second matrix be B
[tex]B = \left[\begin{array}{ccc}1 &2 \\ 3 & 4 \\\end{array}\right][/tex]
Now , the product of matrices A and B is C
where the matrix C is A x B
[tex]C = \begin{pmatrix}4\cdot \:1+6\cdot \:3&4\cdot \:2+6\cdot \:4\\ 5\cdot \:1+7\cdot \:3&5\cdot \:2+7\cdot \:4\end{pmatrix}[/tex]
On simplifying the matrix C , we get
[tex]C = \begin{pmatrix}22&32\\ 26&38\end{pmatrix}[/tex]
Therefore , the value of matrix is [tex]C = \begin{pmatrix}22&32\\ 26&38\end{pmatrix}[/tex]
d)
Let the first matrix be A
[tex]A = \left[\begin{array}{ccc}-1 &0 \\ 2 & 7 \\\end{array}\right][/tex]
Let the second matrix be B
[tex]B = \left[\begin{array}{ccc}3 &5 \\ 4 & 6 \\\end{array}\right][/tex]
Now , the product of matrices A and B is C
where the matrix C is A x B
[tex]C = \begin{pmatrix}\left(-1\right)\cdot \:3+0\cdot \:4&\left(-1\right)\cdot \:5+0\cdot \:6\\ 2\cdot \:3+7\cdot \:4&2\cdot \:5+7\cdot \:6\end{pmatrix}[/tex]
On simplifying the matrix C , we get
[tex]C =\begin{pmatrix}-3&-5\\ 34&52\end{pmatrix}[/tex]
Therefore , the value of matrix is [tex]C =\begin{pmatrix}-3&-5\\ 34&52\end{pmatrix}[/tex]
Hence , the matrix multiplication is solved and the results are given
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A 750ml of red wine bottle and has 12% alcohol, 330ml of beer bottle with 5% alcohol. How many bottles of beer do we have to consume in order to be equal in red wine alcohol
Answer: five beers' worth of alcohol in a bottle of wine.
Step-by-step explanation:
In order to have an equivalent amount of alcohol as red wine, we would need to consume approximately 6 bottles of beer.
To determine how many bottles of beer need to be consumed in order to have an equivalent amount of alcohol as red wine, we can compare the alcohol content in both beverages.
The red wine has a volume of 750 ml and an alcohol content of 12%. This means that the red wine contains 750 ml x (12/100) = 90 ml of alcohol.
The beer has a volume of 330 ml and an alcohol content of 5%. This means that each bottle of beer contains 330 ml x (5/100) = 16.5 ml of alcohol.
To find the number of beer bottles needed to match the alcohol content of the red wine, we divide the total amount of alcohol in the red wine by the amount of alcohol in one beer bottle:
The number of beer bottles:
90 ml / 16.5 ml = 5.45
Since we can't have a fraction of a beer bottle, we round up to the nearest whole number.
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Write a recursive formula that defines the following sequence f(1)=1, f(2)=9, f(3)=17, f(4)=25, f(5)=33.
The recursive formula for the sequence f(1)=1, f(2)=9, f(3)=17, f(4)=25, f(5)=33 is aₙ₋ =aₙ₋₁ +d
How to determine the recursive formula?We should know that a recursive sequence is a sequence in which the terms are gotten using one or more previous terms along with an initial condition.
The given sequence is f(1)=1, f(2)=9, f(3)=17, f(4)=25, f(5)=33
This forms an Arithmetic Progression (AP)
The terms are 1, 9, 17, 25, 33, ...
The common different is 9-1 = 8
The terms are
a₁, a₂+d, a₃+d, a₄+d, + .....+ aₙ+(n-1)d
Therefore the The recursive formula for the sequence f(1)=1, f(2)=9, f(3)=17, f(4)=25, f(5)=33 is aₙ₋ =aₙ₋₁ +d
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Please help asap this is mandatory Which town has a greater population density?
Town A: 397,546 people within 387 square miles
Town B: 264,108 people within 261 square miles
A. Town A, by about 15 people per square mile.
B. Town B, by about 126 people per square mile.
C. Town A, by about 1,027 people per square mile.
D. Town B, by about 1,012 people per square mile.
The town with the greater population density is C. Town A, with about 1,027 people per square mile.
What is the population density?Population density is the quotient of the number of individuals (population) living in a specified location divided by the geographic size of the area, usually measured in squared miles.
Towns Population Squared Miles Persons/square mile
Town A 397,546 387 1,027 (397,546/387)
Town B 264,108 261 1,012 (264,108/261)
Thus, we can conclude that Town A has a greater population density than Town B.
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A line passes through the points (16, 20) and (10, 14). What is its equation in slope-intercept form?
Answer:
y= x +4
Step-by-step explanation:
2 point form : y -20 = x- 16
slope intercept form: y = x + 4
The vertex form of the quadratic function f(x)=-6x^2-60x-151 is f(x)=a(x-h)^2+k
The values of a, h and k for the given quadratic function are:
a = -6, h = -5 and k = -1
What is vertex form?
This is one way of writing a quadratic function:
f(x) = a(x-h)² +k
(h, k) = vertex
a = vertical stretch
According to the given question:
We're given:
f(x)= -6x² - 60x - 151
To write a quadratic function in vertex form, we must complete the square.
⇒ Put parentheses around the first two terms containing x and x²:
f(x)= (-6x² - 60x) - 151
⇒ Factor out -6 (keeping the x's in the parentheses):
f(x)= -6(x² + 10x) - 151
⇒ To complete the square, add, inside the parentheses, the square of half the coefficient of x.
⇒ In this case, the coefficient of x is 10.
⇒ Half of this value is 5.
⇒ The square of 5 is 25.
⇒ Add this inside the parentheses:
f(x) = -6(x² + 10x + 25) - 151
⇒ Now, we cannot randomly introduce a new value into a function. To balance the +25, subtract -6(25) outside the parentheses:
f(x) = -6(x² + 10x + 25) - 151 - (-6 x 25)
f(x) = -6(x² + 10x + 25) - 151 - (-150)
f(x) = -6(x² + 10x + 25) - 151 + 150
f(x) = -6(x² + 10x + 25) - 1
⇒ Finally, complete the square.
Remember: (a + b)² = a² + 2ab + b²
In this case, a is x, and b is 5:
f(x) = -6(x + 5)² - 1
On comparing with f(x) = a(x-h)² +k we get the values of a, h and k as:
a = -6
h = -5
k = -1
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Please help with these
The values would be
sin2x = -3/5
cos2x = -4/5
tan2x = 3/4
What are double angles in trigonometry?
The double angle formulas are used to find the values of double angles of trigonometric functions using their single angle values. For example, the value of cos 30° can be used to find the value of cos 60°. Also, the double-angle formulas can be used to derive the triple-angle formulas.
Given: tanx = -3
Now as we know,
[tex]sin2x=\frac{2tanx}{1+tan^2x}\\\\sin2x=\frac{2(-3)}{1+(-3)^2}\\\\sin2x=\frac{-6}{10}\\\\sin2x=\frac{-3}{5}[/tex]
Now
[tex]cos2x=\frac{1-tan^2x}{1+tan^2x}\\\\cos2x=\frac{1-(-3)^2}{1+(-3)^2}\\\\cos2x=\frac{1-9}{1+9}\\\\cos2x=\frac{-8}{10}\\\\cos2x=\frac{-4}{5}[/tex]
And similarly, we can find the value of tan2x, as
tan2x = sin2x/cos2x
= (-3/5)/(-4/5)
= 3/4
Hence,
The values would be
sin2x = -3/5
cos2x = -4/5
tan2x = 3/4
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Expand and simplify:
y(2y³ - 4y² + 8) − 3y²
Who ever is reading these and trying to solve this thank you so much (extra points for you) you helped me so much in my examination I love you.
Answer:
2y4−4y3−3y2+8y :)
One-year treasury bills currently earn 3. 25 percent. You expect that one year from now, one-year treasury bill rates will increase to 3. 45 percent and that two years from now, one-year treasury bill rates will increase to 3. 95 percent. The liquidity premium on two-year securities is 0. 05 percent and on three-year securities is 0. 15 percent. If the liquidity theory is correct, what should the current rate be on three-year treasury securities?.
3-year treasury securities as calculated from the data will now have a rate of 3.70%.
Current interest rate is calculated as Current Interest Rate + Liquidity Premium.
Average interest for 3 Year = (3.45% + 3.95% +3.25%)/3 = 3.55
3 year security liquidity premium = 0.15%
3 year Treasury security's current rate is 3.55% +0.15%.
= 3.70%
Therefore, The current rate be on 3-year treasury securities is 3.70%.
Interest is the fee paid for having access to borrowed funds. While the interest rate used to compute interest is often reported as an annual percentage rate, interest expense or revenue is sometimes expressed as a dollar figure (APR).
The compensation a lender or financial organisation receives for giving out money is called interest. The percentage of a stockholder's ownership in a corporation that is also referred to as interest.
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Mrs. Joyce calculated the class mean on her latest test. 18 students took it and the mean was 81. 2. Three days later the four absent kids made it up and scored 77, 85, 68, and 80. To the nearest tenth, what is the new mean?.
The new mean for the given data would be 80.
What is the mean of the numbers?
The average (mean) is equal to the sum of all the data values divided by the number of values in the data set.
Mean = Sum / Count
Firstly 18 students took the test and the mean was 81.
By using the definition of mean we can write
Mean = sum of scores/number of students
81 = sum of scores / 18
Sum of scores = 81 * 18
= 1458
Now later the four absent kids made it up and scored 77, 85, 68, and 80.
Now new sum of the scores would be = 1458 + 77 + 85 + 68 + 80
= 1768
And the total number of students will be = 18 + 4 = 22
New mean = new score/number of students
= 1768/22
= 80.36
≈ 80
Hence, the new mean for the given data would be 80.
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15PTS HELP ASAP PLEASE! A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 160 ounces of a mixture that is 70% salt. How many ounces of each solution should she use?
Answer:
Step-by-step explanation:
68 Ounces B - 61.2
92.4 Ounces A - 60.06
70% of 160 = 112
A+B estimated 112
write the equation of a polynomial of least degree in standard form that has zeros at x=2i & x=3 what is the constant form?
The equation of a polynomial that has zeros at x = 2i and x = 3 is given as follows:
x³ - 3x² + 4x - 12.
How to obtain the cubic polynomial?We are given the zeros of the polynomial, which then can be obtained using the Factor Theorem.
The zeros are given as follows:
x = 2i.x = -2i, as if a complex number is a root, then it's conjugate also is.x = 3.Then the polynomial is obtained as the product of it's linear factors, due to the Factor Theorem, as follows:
(x - 2i)(x + 2i)(x - 3)
(x² + 4)(x - 3)
x³ - 3x² + 4x - 12.
(as the base complex number relation is i² = -1).
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Use completing the square to solve this quadratic equation x^2+8x+16=2
Answer:
x = -4 ± √2
Step-by-step explanation:
x^2+8x+16=2
(x + 4)^2 = 2
x + 4 = ±√2
x = -4 ± √2
GEOMETRY! Someone help!
By ASA property
What is congruent triangle?Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.
We are asked that will property will show that Δ NKL ≅Δ LMN
It is given that NL bisect KNM and KLM
∠ KNL≅ ∠ MNL (by bisect property) (angle)
∠ KLN ≅∠MNL (by bisect property) (angle)
line NL (common)
Thus by ASA property we can say that Δ NKL ≅ΔLMN
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(05.01)
The graph below shows a system of equations:
y=x+4
3y = -2x + 2
The x-coordinate of the solution to the system of equations is
Answer:
x= -2
Step-by-step explanation:
since we know what y equals we fill it into the second equation
3(x+4)= -2x+2
3x+12=-2x+2
-12. -12
3x=-2x-10
+2x +2x
5x=-10
/5. /5
x= -2
hopes this helps please mark brainliest
If your annual pay is $36,010, what is your biweekly pay based on 26 biweekly paychecks? what is your hourly rate of pay if you work 160 hours per month? what is your overtime rate?.
The biweekly pay is $1,385, the hourly rate of pay for 160 hours of work per month is $17.31, and the overtime rate of pay is $25.96.
Calculation:It is given that, the annual pay is $36,010.
There are 52 weeks in a year. So, there are 26 biweeks in a year.
Then, the biweekly pay = (Annual pay)/the number of biweeks in a year
⇒ biweekly pay = (36,010)/26 = $1,385
There are 160 working hours in a month.
So, biweekly working hours = 160/2 = 80 (for two weeks in a month)
Then, the hourly rate of pay is calculated by
hourly rate of pay = biweekly pay/biweekly working hours
⇒ hourly rate of pay = 1,385/80 = $17.31
To calculate the overtime rate of pay, we need to know the number of overtime working hours and the multiplier.
Here we are finding the overtime rate per hour. So, we can find the overtime rate of pay by
overtime rate of pay = hourly rate of pay × multiplier
We have the overtime multiplier per hour as 1.5.
Then,
Overtime rate of pay = 17.31 × 1.5 = $25.96
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vy = a sin( k ( x - d)) + c and y = a cos( k ( x - d)) + c
The equation Vy = a sin(k(x - d)) + c is an equation for a sine wave. A sine wave is a periodic function that describes a periodic oscillation or vibration. It is commonly used to model periodic phenomena in many fields, such as sound, light, and electricity.
In this equation, Vy is the vertical position of the sine wave at a given point in time (x), a is the amplitude of the sine wave (the maximum distance from the midline), k is the wave number (the number of complete cycles per unit distance), x is the horizontal position (time or distance), d is the phase shift (the horizontal shift of the wave), and c is the vertical offset (the distance from the midline).
The equation y = a cos(k(x - d)) + c is similar to the equation for a sine wave, but it describes a cosine wave instead. A cosine wave is also a periodic function, but it is shifted by 90 degrees in phase compared to a sine wave.
Like a sine wave, a cosine wave can be used to model periodic phenomena and is commonly used in many fields. In this equation, y is the vertical position of the cosine wave at a given point in time (x), a is the amplitude of the cosine wave, k is the wave number, x is the horizontal position, d is the phase shift, and c is the vertical offset.
What is sin and cosine sum?
sin(x) + cos(x) = √2 * sin(x + 45°)
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Draw all the lines of symmetry for this shape.
Line 1
Answer:
Line down the middle
Step-by-step explanation:
There is only one line of symmetry in this shape because there is no rotational symmetry. Its a line down the middle.
Please Help with this.
i need answers and explanations for the stuff in the picture
Point= (1, -1)
Hence, this is not the solution of the desired answer.
What is inequality?inequality is defined as declaration of the relation of greater, greater than or equal to, smaller, or less than or equal to between two numbers or the algebraic expressions. Either queries or the declarations of fact in the form of theorems can be used to formulate and solve inequality problems.
Shaded Region represents y<2x-3
Given Point= (1, -1)
Hence, this is not the solution of the desired answer,
As it not defines the equality part.
As for example (2,-2) is the solution of the desired inequality and it satisfies the condition y<2x-3.
And given point (1, -1) is not the solution of the desired equation as it does not satisfy the inequality portion.
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For positive angles A and B, it is known that tan A = 5/12 and sin B = 3/5. Find the value of cos(A-B) in simplest form.
This question has me stumped. can anyone help?
The value of the cos(A - B) in simplest form would be 273/100.
What are the trigonometric angles?
Trigonometry angles are the angles given by the ratios of the trigonometric functions. Trigonometry deals with the study of the relationship between angles and the sides of a triangle. The angle value ranges from 0-360 degrees. The important angles in trigonometry are 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°.
sin B = 3/5
tan A = 5/12
We have find cos(A - B)
first, let’s hope these are both all-integer triangles:
In a 3-4-5 Right triangle,
sinB = 3/5, cos B = 4/5
For tanA = 5/12 the hypotenuse turned out to be 13.
sin A = 5/12
cos A = 12/13
So now we just use the identity for cos ( A + B )
cos(A - B) = cosAcosB + sinAsinB
= (12/13)(4/5) + (5/12)(3/5)
= (60 + 52/65) + (25 + 36/60)
= (112/65) + (61/60)
= 273/100
Hence, the value of the cos(A - B) in simplest form would be 273/100.
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PLEASE HELLP MEEEEEE
Answer: angle EHF = 31 degrees
Step-by-step explanation:
Complementary angles mean either of two angles whose sum is 90°.
So the equation is 6x-1+3x+1=90
combine like terms
9x=90
x=10
Substitute in 10 to EHF or 3x+1
3(10)+1
angle EHF = 31
if f (x) = 4x - 1, what is f (-2)
PLEASE HELP!
Answer: -9
Step-by-step explanation: If you subtitutie -2 in for x, ask yourself , what is 4*-2 which is -8 which is then subtracted by 1 which gets you -9 so, this means f (-2)=-9
Hope this helped!
For each of the following questions solve for the variable.
supposed to questions
Step-by-step explanation:
people say the climate is changing
A boat can travel 302.9 miles on 23.3 gallons of gasoline. How far can it travel on 13.7 gallons?
Answer:
178.7 miles
Step-by-step explanation:
First, determine the miles per gallon:
[tex]\frac{302.9\ miles}{23.3\ gallons}\\13.0\frac{miles}{gallon}[/tex]
Then, use that value to find miles traveled on 13.7 gallons:
[tex]13.7\ gallons(\frac{13\ miles}{1\ gallon})\\178.7\ miles[/tex]
Here are summary statistics for randomly selected weights of newborn girls: n = 36, x-bar = 3222.2 g, s = 686.7 g. Use a confidence level of 95%.
A. Identify the critical value t_a/2 used for finding the margin of error.
The margin of error, a statistic, is a measure of how much random sampling error there is in survey data.
The margin of error exists 0.07728.
What is meant by margin of error?A statistic known as the margin of error describes how much random sampling error there is in survey data. Less faith should be placed in a poll's results representing the outcome of a population census as the margin of error increases.
A survey's margin of error, also known as the confidence interval, is a measurement of error in the data, particularly when the sampling method of a survey is used. This indicator lets researchers know to what extent survey findings should be taken as representative of the entire community under study.
Given : n = 36
x-bar = 3222.2 g
s = 686.7
Confidence level 95%
The 2 - critical Valve = 2.03
A) Let the equation be
[tex]$S F=\sqrt{\frac{\bar{x}(1-\bar{n})}{n}}$$[/tex]
substitute the values in the above equation, we get
[tex]$& \Rightarrow \sqrt{\frac{(3222.2)(1-3222.2)}{100}} \\[/tex]
SE = 0.03807
B) Margin of error = (0.03807)(2 ×[tex]I_2[/tex] )
Margin of error = 0.07728
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2.5x2−1.95x=225.6 or 2.5x2−1.95x−225.6
The solution of the equation 2.5x² − 1.95x − 225.6 = 0 will be negative 9.117 and 9.897.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
2.5x² − 1.95x = 225.6
Simplify the equation, then we have
2.5x² − 1.95x = 225.6
2.5x² − 1.95x − 225.6 = 0
Then the solution of the equation is given as,
[tex]\rm x = \dfrac{-(-1.95) \pm \sqrt{(-1.95)^2 - 4 \times 2.5 \times (-225.6)}}{2 \times 2.5}[/tex]
Simplify the expression, then we have
x = [1.95 ± 47.537] / 5
x = (1.95 + 47.537) / 5, (1.95 - 47.537) / 5
x = 9.897, -9.117
The solution of the equation 2.5x² − 1.95x − 225.6 = 0 will be negative 9.117 and 9.897.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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