Answers
The [tex]4\frac{3}{8}-2\frac{1}{8}[/tex] [tex]=2\frac{1}{8}[/tex] This is the correct way to solve the equation it.
What sort of equation would that be?The meaning of an equations in algebra is a logical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Does equation imply issue?When we say we're "solving" an equation, we truly mean we're "solving" the issue or "answering" the question since, in most circumstances, a formula reflects a problem (or query) of some type. A mathematical phrase with two equal sides and an equal sign is called an equation.
Given,
[tex]4\frac{3}{8}-2\frac{1}{8}[/tex]
[tex]=2\frac{1}{8}[/tex]
To know more about equation visit:
https://brainly.com/question/10413253
#SPJ1
Related Questions
What innovation was made possible in part because of the Carterfone decision in 1968? Select one a. COBOL b. radiospectrum allocation c. the public Internet d. SMS
Answers
The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C
The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.
This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.
Know more about innovation here:
https://brainly.com/question/30929075
#SPJ11
Are these triangles CBA-FGH similar
Answers
The two triangles cannot be similar, because they have one pair of corresponding angles that are not equal.
What is triangle ?
A triangle is a geometric shape consisting of three straight sides and three angles. The sum of the angles in a triangle is always 180 degrees. The point where two sides of a triangle meet is called a vertex. The side opposite to a vertex is called the opposite side, and the angle opposite to a side is called the opposite angle.
To determine if two triangles are similar, we need to check if their corresponding angles are equal and their corresponding sides are proportional.
Let's start with the angles:
In triangle CBA, we can use the Law of Cosines to find the measure of angle C:
[tex]cos(C) = (a^2 + b^2 - c^2) / (2ab)[/tex]
where a, b, and c are the side lengths opposite to angles A, B, and C, respectively.
[tex]cos(C) = (72^2 + 48^2 - 84^2) / (2 x 72 x 48)[/tex]
cos(C) = -0.25
Since cos(C) is negative, we know that angle C is obtuse.
Now, let's consider triangle FGH. By the Law of Cosines, we can find the measure of angle H:
[tex]cos(H) = (f^2 + g^2 - h^2) / (2fg)[/tex]
[tex]cos(H) = (8^2 + 12^2 - 14^2) / (2 x 8 x 12)[/tex]
cos(H) = 0.25
Since cos(H) is positive, we know that angle H is acute.
Therefore, the two triangles cannot be similar, because they have one pair of corresponding angles that are not equal.
To know more about triangles visit :
https://brainly.com/question/1058720
#SPJ1
Check all that applies please GIVING HIGH POINTS ANSWER FAST
Answers
Answer:
-1
Step-by-step explanation:
qwertyuoiplaksjdhfgmznxbcvqwertyuoiplaksjdhfgmznxbcvqwertyuoiplaksjdhfgmznxbcvqwertyuoiplaksjdhfgmznxbcvqwertyuoiplaksjdhfgmznxbcvqwertyuoiplaksjdhfgmznxbcv
Graph the solution to the inequality on the number line.
|4y+8| <4
Answers
Answer:
-3 < y < -1
Step-by-step explanation:
|4y+8| < 4 |4y+8| > -4
4y + 8 < 4 4y + 8 > -4
4y < -4 4y > -12
y < -1 y > -3
So, the answer is -3 < y < -1
Set up an algebraic equation and then solve. An integer is 14 less than 4 times another. If the product of the two integers is 30 , then find the integers. The two integers are and I don't know 2 attemp
Answers
The two integers are 5 and 6.
Set up with algebraic equationTo solve this problem, we need to set up an algebraic equation based on the information given.
Let's call the first integer x and the second integer y. According to the problem, an integer (x) is 14 less than 4 times another (y).
This can be written as: x = 4y - 14
We are also told that the product of the two integers is 30. This can be written as:
xy = 30
Now we can substitute the first equation into the second equation to solve for one of the variables.
Let's solve for y:
(4y - 14)y = 30
4y^2 - 14y = 30
4y^2 - 14y - 30 = 0
Using the quadratic formula, we can solve for y:
y = (-(-14) ± √((-14)^2 - 4(4)(-30)))/(2(4))
y = (14 ± √(196 + 480))/8
y = (14 ± √676)/8
y = (14 ± 26)/8
y = 5 or y = -1.5
Now we can plug these values of y back into the first equation to find the corresponding values of x:
x = 4(5) - 14 = 6
x = 4(-1.5) - 14 = -20
So the two integers are either 5 and 6, or -1.5 and -20. However, since the problem asks for integers, we can eliminate the second solution.
Therefore, the two integers are 5 and 6.
Learn more about algebraic at
https://brainly.com/question/953809
#SPJ11
4: 7 and 12 : whats the ratio
Answers
Project Option 1-Individually 1 Change the equation to slope intercept form identify the slope and y-intercept of the equation. Be sure to show all your work 2 Describe how you would graph this line using the slope intercept method Be sure to write using complete sentences 4 Graph the function On the graph make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan 5 Suppose Saf's total profit on lunch specials for the next month is $1.503. The profit amounts are the same $2 for each sandwich and S graphs of the functions for the two months are similar and how they are different 02.03 Key Features of Linear Functions-Option 1 Rubric Requirements Student changes equation to slope-intercept form Student shows all work and identifies the slope and y-intercept of the equation Student writes a description which is clear precise, and correct, of how to graph the line using the slope-intercapt method Student changes equation to function notation Student explains clearly what the graph of the equation represents Student graphs the equation and labels the intercepts correctly Student writes at least three sentences explaining how the graphs of the two equations are the same and how they are different
Answers
The profits exist the same (slope) but the y-intercept is more increased than the actual diagram.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
The slope-intercept form of a linear equation is where one side includes only "y"
2x+ 3y= 1470
y= -2/3 x + 490
Hence, the y-intercept exists at 490 and the slope is -2/3x.
As, 2x + 3y = 1593
3y = -2x +1593
y = -2/3x +531
The profits exist the same (slope) but the y-intercept is more increased than the actual diagram.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ1
what is 4x-3 i need a 6th grade explanation
Answers
Answer:
-12?
Step-by-step explanation:
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Enter your answer in the box.
m/A=
Answers
The measure of ∠A is 77 degrees.
What is Circle?A round-shaped figure that has no corners or edges is called as Circle.
ABCD is the quadrilateral which is inscribed in the circle.
We have to find angle A measure.
The opposite angles of a cyclic quadrilateral are supplementary so we apply to find the measure.
Therefore, angle A + angle C = 180 degrees
2x+9+3x+1=180
5x+10=180
Subtract 10 from both sides
5x=170
Divide both sides by 5
x=34
Now plug in x value in angle A, 2x+9.
∠A=2x+9
=2(34)+9
=68+9
=77 degrees.
Hence, the measure of ∠A is 77 degrees.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ1
Set up the trigonometric ratio for right triangles that yoa would ase to fisd
x
. Yeu are aar mied ap lad
x
. 1. a. b. Find
x
to the nearest tenth of a degree. Show your wark. Set up the trigonometric ratio for right triang gkes that you would use to find
x
. You are ase aulend to find
x
, 3. a. b. 4 Approximate
x
to the nearest lenth of a degroe. 5. Consider the following right triangle. Set up the trigonometric ratio for right triangles that you would use to find
x
. Then find
x
.
Answers
The key to finding the value of x in a right triangle is to choose the appropriate trigonometric ratio based on the sides given and to use a calculator to find the value of x to the nearest tenth of a degree.
To find the value of x in a right triangle, we can use the trigonometric ratios of sine, cosine, and tangent. The ratio we choose depends on the information given in the question and the sides and angles we are trying to find.
To find x to the nearest tenth of a degree, we can use the following steps:
a. Identify the sides of the triangle that are given and the side we are trying to find.
b. Choose the appropriate trigonometric ratio based on the sides given. For example, if we are given the opposite side and the hypotenuse, we would use the sine ratio.
c. Set up the equation and solve for x. For example, if we are using the sine ratio, the equation would be sin(x) = opposite/hypotenuse.
d. Use a calculator to find the value of x to the nearest tenth of a degree.
To find x using the aulend method, we can use the following steps:
a. Identify the sides of the triangle that are given and the side we are trying to find.
b. Use the Pythagorean theorem, a^2 + b^2 = c^2, to find the missing side.
c. Use the appropriate trigonometric ratio to find the value of x.
To approximate x to the nearest tenth of a degree, we can use a calculator to find the value of x and then round to the nearest tenth.
To find x in the given right triangle, we can use the following steps:
a. Identify the sides of the triangle that are given and the side we are trying to find.
b. Choose the appropriate trigonometric ratio based on the sides given.
c. Set up the equation and solve for x.
d. Use a calculator to find the value of x.
Overall, the key to finding the value of x in a right triangle is to choose the appropriate trigonometric ratio based on the sides given and to use a calculator to find the value of x to the nearest tenth of a degree.
Learn more about Trigonometric ratio for right triangles
brainly.com/question/30419678
#SPJ11
You need a home loan of $65,000 after your down payment. How much will your monthly house payment be in the bank charges 6.25% APR for a loan of 15 years?( simplify your answer completely. Round your answer to the nearest cent)
Answers
Your monthly house payment given that the bank charges 6.25% APR for a loan of 15 years will be $51.95.
To find the monthly house payment for a loan of $65,000 with a 6.25% APR for 15 years, we can use the formula:
M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1]
Where:
M = monthly payment
P = principal amount
i = monthly interest rate
n = number of monthly payments
First, we need to find the monthly interest rate and the number of monthly payments:
i = 6.25% / 12 = 0.00625
n = 15 years(12 months/year) = 180 months
Now we can plug these values into the formula:
M = 65,000 [ 0.00625(1 + 0.00625)^180 ] / [ (1 + 0.00625)^180 - 1]
M = 65,000 [ 0.00625(1.00625)^180 ] / [ (1.00625)^180 - 1]
M = 65,000 [ 0.024636 ] / [ 0.171184 ]
M = 65,000 [ 0.143875 ]
M = 9,351.88
So, the monthly house payment will be $9,351.88 / 180 = $51.95.
Therefore, the monthly house payment for a loan of $65,000 with a 6.25% APR for 15 years will be $51.95.
Learn more about APR here: https://brainly.com/question/3861581.
#SPJ11
Find the value of v and w using sine and cosine 5 and 71 round to the nearest tenth
Answers
The values of w and v in the given right triangle are 1.68 and 4.7
What is a right triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.
Given is a right triangle, with hypotenuse 5, and an acute angle of 71°, we need to find the value of v and w, using trigonometric ratios,
The other acute angle will be = 90°-71° = 19°
Taking 19° as reference angle,
Sin 19° = w/5
w = 1.68
Cos 19° = v/5
v = 4.7
Hence, the values of w and v in the given right triangle are 1.68 and 4.7
Learn more about right triangle click;
https://brainly.com/question/6322314
#SPJ1
Does anyone knows this Central Angle
Answers
The value of x is
x=-5
What is The value of x?
Generally, An angle is a figure formed by two rays (or line segments) that share a common endpoint. Angles are usually measured in degrees, with a full angle measuring 360 degrees.
Considering that the angle on a point is 630 , we have that the missing angle is
y=360-(148+92)
y=120
Therefore
y=x+125
Hence
x=y-125
x=120-125
x=-5
Read more about angles
https://brainly.com/question/28451077
#SPJ1
A sandwich shop makes home deliveries. The average amount of time from when an order is placed until when it is delivered can be modeled by the equation y = 2.5x + 5, where x is the number of miles between the shop and the delivery location and y is the time in minutes. Which of these statements are correct according to the model? Select two that apply.
Answers
The correct statements according to the model are: if the delivery location is 0 miles away, the order will take 5 minutes to be delivered, and if the delivery location is 10 miles away, the order will take 30 minutes to be delivered.
What is statements ?
A statement is a sentence that expresses a complete thought and can be either true or false. In mathematics, statements are often used to make claims or propositions that can be proven or disproven using logical reasoning and evidence.
The equation y = 2.5x + 5 models the average amount of time from when an order is placed until when it is delivered for a sandwich shop that makes home deliveries, where x is the number of miles between the shop and the delivery location, and y is the time in minutes.
To answer the question, we need to look at the statements and see which ones are correct according to the model:
If the delivery location is 0 miles away, the order will take 5 minutes to be delivered.
This statement is true because if x=0, then y=2.5(0)+5=5, which means the order will take 5 minutes to be delivered.
If the delivery location is 10 miles away, the order will take 30 minutes to be delivered.
This statement is true because if x=10, then y=2.5(10)+5=30, which means the order will take 30 minutes to be delivered.
If the delivery location is 1 mile away, the order will take 2.5 minutes to be delivered.
This statement is false because if x=1, then y=2.5(1)+5=7.5, which means the order will take 7.5 minutes to be delivered, not 2.5 minutes.
If the delivery location is 5 miles away, the order will take 20 minutes to be delivered.
This statement is false because if x=5, then y=2.5(5)+5=17.5, which means the order will take 17.5 minutes to be delivered, not 20 minutes.
Therefore, the correct statements according to the model are: if the delivery location is 0 miles away, the order will take 5 minutes to be delivered, and if the delivery location is 10 miles away, the order will take 30 minutes to be delivered.
To know more about statements visit :
https://brainly.com/question/27839142
#SPJ1
Fill in each blank with a number or expression such that each row and column adds up to the same total.
Answers
The blanks are filled by the following
8-3x 3x-6 4x-5 -2x+5
2x-3 3 2-x x
1-2x 4x-1 3x-2 -3x+4
5x-4 6-5x -4x+7 6x-7
How to fill the blanksThe blanks are filled by adding the complete row, this will be used for comparison and solve for other missing spaces.
let the missing value in each case be y
Adding the complete row gives
2x - 3 + 3 + 2 - x + x = 2x + 2
Column 1
8 - 3x + 2x - 3 + 1 - 2x + y = 2x + 2
6 - 3x + y = 2x + 2
y = 5x - 4
Column 2
y + 3 + 4x - 1 + 6 - 5x = 2x + 2
y + 8 - x = 2x + 2
y = 3x - 6
Row 4
5x - 4 + 6 - 5x + y + 6x - 7 = 2x + 2
6x - 5 + y = 2x + 2
y = -4x + 7
Column 3
y + 2 - x + 3x - 2 - 4x + 7 = 2x + 2
y + 7 - 2x = 2x + 2
y = 4x - 5
Row 1
8 - 3x + 3x - 6 + 4x - 5 + y = 2x + 2
-3 + 4x + y = 2x + 2
y = -2x + 5
Row 3
1 - 2x + 4x - 1 + 3x - 2 + y = 2x + 2
5x - 2 + y = 2x + 2
y = -3x + 4
check
This should be equal to Row 1 which is y = -2x + 5
Column 4
y + x - 3x + 4 + 6x - 7 = 2x + 2
y + 4x - 3 = 2x + 2
y = -2x + 5
Learn more about addition at:
https://brainly.com/question/24536701
#SPJ1
I need help pls pls pls help quickly.
Answers
The lateral surface area of the cylinders {W} and {Y} are same.
What is volume?Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫∫ F(x, y, z) dx dy dz
Given are the dimensions of the cylinder as shown in the image.
The lateral surface area of the cylinder is -
L.S.A = 2πrh
{ 1 } -
L.S.A {W} = 2π x 3 x 9 = 54π
{ 2 } -
L.S.A {X} = 2π x 4 x 2 = 16π
{ 3 } -
L.S.A {Y} = 2π x 4.5 x 6 = 54π
Therefore, the lateral surface area of the cylinders {W} and {Y} are same.
To solve more questions on volume, visit the link-
https://brainly.com/question/22147194
#SPJ1
8 The trinomial 4x^(2)-20x+25 is factorable. Which of these is the correct factorization? F (2x+5)(2x-5) G (2x-5)^(2) H (2x+5)^(2) J (x-5)(4x-5)
Answers
The trinomial 4x²-20x+25 is factorable. The correct factorization of the trinomial 4x²-20x+25 is H (2x+5)².
To factor a trinomial, we need to find two numbers that multiply to give the constant term (25) and add to give the coefficient of the middle term (-20). In this case, the two numbers are -5 and -5. We can then write the trinomial as (4x²-10x-10x+25), and factor by grouping:
4x²-10x-10x+25 = (4x^(2)-10x) + (-10x+25) = 2x(2x-5) - 5(2x-5) = (2x-5)(2x-5) = (2x+5)²
Therefore, the correct factorization of the trinomial is H (2x+5)²
Learn more about factorization at https://brainly.com/question/459044
#SPJ11
Divide the monomials. Is the result of division a monomial? If yes, write the monomial in standard form. -0.26a^(3)b^(6)-:(4(1)/(3)a^(3)b^(2))
Answers
The result of the division is a monomial, and it is in standard form: [tex]-0.195b^4[/tex]
The result of the division of the monomials is a monomial. To find the result, we need to divide the coefficients and subtract the exponents of the same variables.
The steps are as follows:
Divide the coefficients: -0.26 ÷ (4(1)/(3)) = -0.26 ÷ (4/3) = -0.26 × (3/4) = -0.195
Subtract the exponents of the same variables: a^(3-3) = a^0 = 1, b^(6-2) = b^4
Multiply the result of step 1 and step 2: -0.195 × 1 × b^4 = -0.195b^4
Therefore, the result of the division is a monomial, and it is in standard form: -0.195b^4.
To know more about monomial refer here:
https://brainly.com/question/9183135#
#SPJ11
NTGS PRACTICE Use the distance formula d=rt to write an Kai drives 376 miles in 8 hours at a constant speed. How far does he drive in 10 hours?
Answers
Kai drives 470 miles in 10 hours at a constant speed of 47 miles per hour. To find out how far Kai drives in 10 hours, we can use the distance formula d=rt, where d is the distance, r is the rate (or speed), and t is the time.
First, we need to find Kai's rate (or speed). We can do this by rearranging the formula to solve for r:
r = d/t
Plug in the values we know:
r = 376 miles / 8 hours
Simplify:
r = 47 miles per hour
Now that we know Kai's rate, we can plug it back into the distance formula to find out how far he drives in 10 hours:
d = rt
d = (47 miles per hour) (10 hours)
Simplify:
d = 470 miles
To learn more about distance here:
https://brainly.com/question/26550516#
#SPJ11
3x-y=3 graph each linear equation
Answers
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of the line is in standard form, which means we need to convert it into slope intercept form [tex]y=mx+b[/tex], where m is the slope and b is the y intercept.
[tex]3x-y=3[/tex]
Add 3x to both sides
[tex]y=3x+3[/tex]
Now we need to graph it:
The y intercept is 3, so we start at 3. Our slope is [tex]\frac{3}{1}[/tex] or 3, so we go down 3 and 1 to the left.
Can someone help me find angle E,angle D,angle A and angle F and explain how you got it
Answers
The measure of the angles e, d, a, and f will be 26°, 122°, 102°, and 58°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
By the supplementary property, the equation is given as,
f + 78° + 44° = 180°
f = 58°
By the complementary property, the equation is given as,
e + 64° = 90°
e = 26°
By the corresponding angles property, the equation is given as,
c = f
c = 58°
By the supplementary property, the equation is given as,
c + d = 180°
58° + d = 180°
d = 122°
By the corresponding angles property, the equation is given as,
b = 78°
By the supplementary property, the equation is given as,
a + b = 180°
a + 78° = 180°
a = 102°
The diagram is given below.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ1
(a) if tan∅ = 8/15, find the value of
sin∅ + cos∅(1- cos∅) (b)The angle of elevation of the top of a radio mask from a point due east of it and 96m away from its base is 30degrees. From another point, due west of the mask, the angle of elevation of the top is 60degrees. Calculate the distance of the second point from the base of the mast.
Answers
Answer:
Below in bold.
Step-by-step explanation:
The right triangle of which ∅ is a part has
Hypotenuse = sqrt(8^2 + 15^2)
= sqrt289
= 17,
So, sin ∅ = 8/17 and cos ∅ = 15/17
and
sin∅ + cos∅(1- cos∅)
= 8/17 + 15/17(1 - 15/17)
= 8/17 + 15/17 - 225/289
= 166/289.
(b) tan 30 = h/96 where h is height of the mast
h = 96 tan 30.
= 55.4256
tan 60 = 55.4256/d where d is the required distance
d = 55.4256/ tAN60
= 32 M
Heather runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42 minutes?
Answers
Heather runs 3 miles in 28 minutes, so at the same rate, she would run 4.494 miles in 42 minutes.
To find out how many miles Heather would run in 42 minutes at the same rate, we use the concept of unit rate. Unit rate is a comparison of two different quantities when they are combined together. In this case, we need to find the unit rate of Heather's running speed in miles per minute.
Step 1: Find the unit rate of Heather's running speed in miles per minute.
To do this, we divide the distance she ran by the time she took to run it:
3 miles ÷ 28 minutes = 0.107 miles per minute
Step 2: Use the unit rate to find out how many miles Heather would run in 42 minutes.
To do this, we multiply the unit rate by the time she runs:
0.107 miles per minute × 42 minutes = 4.494 miles
Therefore, Heather would run 4.494 miles in 42 minutes at the same rate.
Know more about rate here:
https://brainly.com/question/4895463
#SPJ11
.
A cat weighs 814 pounds.How many ounces does the cat weigh?
Answers
Answer: 13,024
Step-by-step explanation:
used a converter
Answer:
Step-by-step explanation:
16 ounces is equal to 1 pound so to convert ounces to pounds just multiply by 16. 814 times 16 is equal to 13,024 or thirteen thousand and twenty-four.
PLEASEEEE HELP ASPPPPP
Answers
Answer:
R is (-10,4) S is (-1,7) T is (-1,-2) U is (-10,-2)
tell whether each equation has no solution or infinitely many solution. 3(x+2)=x+2x+2
Answers
Because 6 cannot equal 2, this statement is false. As a result, this equation cannot be solved.
What is an equation, exactly?By fusing two expressions, the equation generates a mathematical expression, similar to an expression. A common equation would have been 3x - 5 = 16. The solution to this equation reveals that the variable x has a value of 7.
First, we employ the distributive property to simplify the left side of the equation:
3(x + 2) = 3x + 6
The right side of the calculation is then made simpler by grouping related terms together:
x+2x+2 = 3x+2
The initial equation is now:
3x + 6 = 3x + 2
3x both from sides are subtracted, giving us:
6 = 2
To know more about Equation visit:
https://brainly.com/question/29657992
#SPJ1
A local county has an unemployment rate of 6.5%. A random sample of 20 employable people are picked at random from the county and are asked if they are employed. The distribution is a binomial. Round answers to 4 decimal places. a) Find the probability that exactly 3 in the sample are unemployed. b) Find the probability that there are fewer than 3 in the sample are unemployed. c) Find the probability that there are more than 2 in the sample are unemployed. d) Find the probability that there are at most 3 in the sample are unemployed.
Answers
The distribution is binomial.
a) The probability that exactly 3 in the sample are unemployed is 0.0311, b) The probability that there are fewer than 3 in the sample are unemployed is 0.5354, c) The probability that there are more than 2 in the sample are unemployed is 0.4646, d) The probability that there are at most 3 in the sample are unemployed is 0.5665.
The binomial distribution formula is P(x) = (nCx)(p^x)(q^(n-x)), where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure.
a) To find the probability that exactly 3 in the sample are unemployed, we plug in the values: n = 20, x = 3, p = 0.065, and q = 0.935.
P(3) = (20C3)(0.065^3)(0.935^17) = 1140(0.000274625)(0.099961375) = 0.0311
b) To find the probability that there are fewer than 3 in the sample are unemployed, we need to find the probability that 0, 1, or 2 are unemployed and add them together.
P(0) = (20C0)(0.065^0)(0.935^20) = 1(1)(0.1645) = 0.1645
P(1) = (20C1)(0.065^1)(0.935^19) = 20(0.065)(0.1725) = 0.2249
P(2) = (20C2)(0.065^2)(0.935^18) = 190(0.004225)(0.1812) = 0.1460
P(<3) = P(0) + P(1) + P(2) = 0.1645 + 0.2249 + 0.1460 = 0.5354
c) To find the probability that there are more than 2 in the sample are unemployed, we can subtract the probability that there are fewer than 3 from 1.
P(>2) = 1 - P(<3) = 1 - 0.5354 = 0.4646
d) To find the probability that there are at most 3 in the sample are unemployed, we can add the probabilities that there are 0, 1, 2, or 3 unemployed.
P(≤3) = P(0) + P(1) + P(2) + P(3) = 0.1645 + 0.2249 + 0.1460 + 0.0311 = 0.5665
Therefore, the answers are:
a) 0.0311
b) 0.5354
c) 0.4646
d) 0.5665
For more such questions on Binomial distribution.
https://brainly.com/question/30266700#
#SPJ11
10. There are 60 people in a group. Males make up 40% of the group. If 25% of the males wear hats, how many males wear hats?
Answers
Answer:
6
Step-by-step explanation:
Step 1: How many males are there?
40% of 60 = 0.4 × 60 = 24
There are 24 males.
Step 2: Of the 24 males, how many wear a hat?
25% of 24 = 0.25 × 24 = 6
Answer: 6
A 51-foot building casts a shadow 48 feet long. What is the angle of elevation of the sun? (Please use the exact ratio to calculate the angle and round your answer to the nearest tenth).
Answers
The angle of elevation of the sun is 19. 75 degrees
How to determine the valueIt is crucial to know there are six trigonometric identities.
These identities are;
secantcosecanttangentcotangentcosinesineFrom the information given, we have that;
The angle of elevation = θ
The opposite side = The height of the building
The adjacent side = shadow of the building
Using cosine identity, we have;
cos θ = 48/51
divide the values
cos θ = 0. 9412
Take the cosine inverse
θ = 19. 75 degrees
Learn about trigonometric identities at: https://brainly.com/question/7331447
#SPJ1
inverse function for f(x)=2/5 (x-5)^2 it would become; x= 2/5
(y-5)^2 : need to solve for y
Answers
The final answer of inverse function for f(x)=2/5 (x-5)^2 is y = √(5/2 * x) + 5
The inverse function for f(x)=2/5 (x-5)^2 would become x= 2/5 (y-5)^2, and
We need to solve for y. Here is a step-by-step explanation of how to solve for y:
Now, multiply both sides of the equation by 5/2 to get rid of the fraction on the right side of the equation:
5/2 * x = (y-5)^2
Then, Take the square root of both sides of the equation to get rid of the exponent on the right side of the equation:
√(5/2 * x) = y-5
Add 5 to both sides of the equation to isolate y on one side of the equation:
√(5/2 * x) + 5 = y
Simplify the equation to get the final answer:
y = √(5/2 * x) + 5
Therefore, the inverse function for f(x)=2/5 (x-5)^2 is y = √(5/2 * x) + 5.
To know more about inverse function refer here:
https://brainly.com/question/10300045#
#SPJ11