Using it's concept, the probabilities for this problem are given as follows:
a) A occurs and B does not: 0.1817 = 18.17%.
b) Either occurs: 0.3434 = 34.34%.
What is a probability?A probability is calculated as the number of desired outcomes in the experiment divided by the number of total outcomes in the experiment.
In the context of this problem, we have two mutually exclusive events, meaning that they cannot happen together.
For item a, we have that:
The probability of A occurring is 0.23.The probability of B not occurring is of 1 - 0.21 = 0.79.The events are mutually exclusive, hence we can multiply the probabilities as follows:
p = 0.23 x 0.79 = 0.1817 = 18.17%.
For item b, we add the probability in item with the probability of B occurring and A not, found as follows:
The probability of B occurring is 0.21.The probability of A not occurring is of 1 - 0.23 = 0.77.Hence:
p = 0.1817 + 0.21 x 0.77 = 0.3434 = 34.34%.
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increase 35 %of 78 please help me out
35% more than 78?
35% of 78;
78 x .35 = 27.3
78 + 27.3 = 105.3
x =7, -2, 0, 7
y= 10,0,10,3
Is this a function?
Answer:
Yes
Step-by-step explanation:
Each x-value corresponds with only one y-value.
6. Find the equation for a parabola with vertex (5,-8) containing the point (1,1).
Answer:
[tex]y=\frac{9}{16}(x-5)^2-8[/tex]
Step-by-step explanation:
The equation in vertex form is [tex]y=a(x-5)^2-8[/tex].
Substituting in the coordinates [tex](1,1)[/tex] to solve for [tex]a[/tex],
[tex]1=a(1-5)^2-8 \\ \\ 1=16a-8 \\ \\ 9=16a \\ \\ a=9/16[/tex]
So, the equation is [tex]y=\frac{9}{16}(x-5)^2-8[/tex].
Write a linear equation of a slope intercept form for a line that passes through the point (-2, 9) and has a slope of:-5/2
Answer:
[tex]y = - \frac{5}{2} x + 4[/tex]
Step-by-step explanation:
The equation of a line in slope-intercept form is given by y= mx +c, where m is the slope and c is the y-intercept.
Start with the slope when forming the equation.
Given that the slope is [tex] - \frac{5}{2} [/tex], [tex]m = - \frac{5}{2} [/tex].
Substitute the value of m into the equation:
[tex]y = - \frac{5}{2} x + c[/tex]
The value of c can be found by substituting a pair of coordinates that the line passes through.
When x= -2, y= 9,
[tex]9 = - \frac{5}{2} ( - 2) + c[/tex]
9= 5 +c
c= 9 -5
c= 4
Thus, the equation of the line is [tex]\bf{y = - \frac{5}{2} x + 4}[/tex].
Additional:
What is a linear equation?
A linear equation is one that give rise to a straight line graphIt tells us the relationship between the two variables, x and yThe variables are raised to the power of not greater than 1To learn more about equation of lines, check out: https://brainly.com/question/24436844
Is the relationship between the number of tickets sold and the number of hours proportional? If so, how many tickets were sold in 8 hours?
hours.
1) 3
2) 5
3) 9
Tickets sold
1) 240
2) 400
3) 720
Brayden deposited $2700 into a savings account that has an annual simple interest rate of 0.3%. find the amount in the savings account after each number of years.
The principal plus interest which gives the amount in the account after each year are;
First year, $2,708.7Second year, $2,717.4Third year, $2,726.1Fourth year, $2,734.8Fifth year, $2,743.5What is a simple interest applied to an amount?Simple interest is the product of the principal amount, the rate and the time of investment
The amount Brayden deposited in the savings account, P= $2,700
The interest on savings account, R = 0.3% simple interest
The simple interest formula is, I = P•R•T
The interest in the account after each year is therefore;
1st year = $2,700×0.3%×1 = $8.7
The interest in 2 years, I = 2×$8.7 = $17.4
3 years, I = $8.7 × 3 = $26.1
4 years, I = $8.7 × 4 = $34.8
5 years, I = $8.7 × 5 = $43.5
The amount in the account after each of the 5 years are therefore;
1st year, A = $2,700 + $8.7 = $2,708.7
2nd year, A = $2,700 + $17.4 = $2,717.4
3rd year, A = $2,700 + $26.1 = $2,726.1
4th year, A = $2,700 + $34.8 = $2,734.8
5th year, A = $2,700 + $43.5 = $2,743.5
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A certain grocery store charges a fee of
3% of the total bill to have groceries
delivered. What is the total price the store
charges to deliver $140 worth of groceries
C $144.20
D $140.42
A $154.42
B $149.80
For groceries to be delivered, one particular grocery store charges 3% of the whole purchase price. The total price the store charges to deliver $140 worth of groceries will be $144.20.
What do you mean by percentage?A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although abbreviations "pct.", "pct.", and occasionally "pc" are also used, percent symbol, "%," is frequently used to indicate it. A % lacks dimensions and has no associated unit of measurement.
It should be mentioned that a certain grocery store charges a delivery fee equal to 3% of the entire purchase price.
Consequently, the following is the total the store will charge to deliver $140 worth of groceries:
= Percentage charged × Cost+ Cost
= 3% × $140+$140
= 0.03 × $140+$140
= $4.20+$140
The amount charged is $144.20.
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Answer in graph form. Find 0 if cos0= 4/7 and sin0 is negative
The θ lies in the 4th quadrant of the graph.
Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.The coordinate plane system's four quarters are referred to as quadrants. A quadrant is the name of one of the four divisions. A quadrant, or sector of 90 degrees, is the term used to describe a circle's quarter.In the question, Cosθ = 4/7 and Sinθ is negative.Cosθ is positive in the 1st and 4th quadrants.Sinθ is negative in the 3rd and 4th quadrants.Thus, θ lies in the 4th quadrant of the graph.To learn more about quadrants, visit :
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Solve for x. 1/4+1/2+x=−3/4 Enter your answer as a fraction in simplest form in the box.
Answer:
yes!! finally a question i can solve:
so,
Step-by-step explanation:
Exact Form:
x = − 3/2
Decimal Form:
x = −1.5
Mixed Number Form:
x = -1 1/2
Find the value of x in degrees for which d//m
Answer:
x = 31
Step-by-step explanation:
87=2x-25
-25 on each side
62=2x
divide each side by 2
31=x
x=31
Which choice is the value of three over five raised to the second power?
three over twenty-five
three over ten
nine over twenty-five
six over seven
The value of three over five raised to the second power is nine over twenty-five.
How can the operation be performed?From the question , we were given that three over five raised to the second power which can be interpreted as (3/5)^2 then we can find the square of the given value so that we can arise at the answer.
In this case , (3/5)^2 = 9/25 which implies that the value of the (3/5)^2 is been found and to calculate the value of (3/5)^2, we will need to find the square of 3 which is the numerator as well as the square of 5 which is the denominator.
Therefore, the third option is correct.
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"Le Sage" Restaurant charges one price for adults and another for children for their buffet dinner. Raj's family has two adults and three children and their bill was $57 without taxes. Eman's family consists of 3 adults and 2 children and their bill was $63 without taxes. What is the cost of the buffet for an adult and for a child.
Answer:
5763 is the answer because 57 plus 63
suppose that a large mixing tank initially holds 400 gallons of water in which 80 pounds of salt have been dissolved. pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. determine a differential equation for the amount of salt a(t) in the tank at time
The differential equation for the amount of salt A(t) in the tank at the time (dA / dT) / (A / 100) = 0, A(0) = 30
It is Given that a large tank holds 400 gallons of water, in which 80 ponds of salt have been dissolved, given that pure water is pumped into the tank at a rate of 8 gallons/min. here we have to find the differential equation for the amount of salt in the tank at the time when the solution is well stirred. we have to multiply both 400 gallons of water and pumped water at the rate of 8 gallons/min.
dA / dT = Rin - Rout
Rin = 0
Rout = A(t) / 400 * 8
= A / 50
So,
dA / dt = Rin - Rout
dA / dt = 0 - A /50
After solving the differential equation we get
A(0) = 30
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12 = 5w - w solve for w
Answer:
w = 3
Step-by-step explanation:
12 = 5w - w = 4w ( divide both sides by 4 )
3 = w
Answer:
w=2.4
Step-by-step explanation:
12 = 5w
Divide both sides by 5.
12/5=2.4
5/5=w
2.4=w
PLS HELP WILL GIVE 20 POINTS AND BRAINLIEST!! ASAP!!!!
Answer:
[tex]\frac{36}{49}[/tex]
Step-by-step explanation:
the pattern identified in the sequence is to add 1/49 after each step in the sequence.
When you add 1/49 to 34/49 you get 35/49, which can be simplified to 5/7.
To get the next value in the sequence just add 1/49 to 35/49, which equals 36/49.
this answer can not be simplified further.
two rival dry cleaners both advertise their prices.store a´s prices are modeled by the
expression 20x-8,where x is the number of items brought in.store Bs pricesare modeled by the expression 5(4x+4),where x is the number of items brought in.when do the two stores charge the same rate?select the correct choise below and ,if necessary,fill in the answer to complete your choise.
A) The two stores charge the same when_______items are brought in.
B) The two stores always charge the same rate.
C) The two stores never charge the same rate.
C) The two stores never charge the same rate as per the cost expression of store A and store B.
The each expression of store A and store B represent the total cost charged by them based on the number of items bought. The mentioned expressions will be equated when assuming their total cost to be same. Thus, equating the the expressions.
20x - 8 = 5 (4x + 4)
Performing multiplication on Right Hand Side of the equation
20x - 8 = 20x + 20
Since 20x is present on both the sides, it will be cancelled. The remaining expression will be :
8 = 20, which is a false case as 8 is not equal to 20.
Thus, the equation has no solution and hence, the two stores will never charge the same rate, no matter how many items are bought.
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Use the given information determin which lines if any in the figure to the right of the parallel justify each conclusion with a theorem or postulate
Given <2 is supplementary to <3 Because it's given that to a supplementary to 3 lines ______ Are parallel by the ______
Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.
What are supplementary angles?Two Angle whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
If ∠ 8 is supplementary to ∠ 9, then line x and y must be parallel lines wheres line s is the transverse line.
∠ 7 = ∠ 4.
Now, ∠ 7 = ∠ 2 and ∠ 4 = ∠ 9.
So, ∠ 2 = ∠ 3 {supplementary angles}
Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.
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Estimate 0.046138792 to the nearest hundredth. Express your answer as a single digit time power of ten.
The value of 0.046138792 estimated to the nearest hundredth is 0.05 and can be expressed in the form [tex]5*10^{-2}[/tex].
This is a question of place values.
Given number:-
0.046138792
We have to estimate the given number to the nearest hundredth. Also, we have to express the answer as a single digit to power of ten.
In the given number, we can see that,
After decimal,
tenth digit is 0
hundredth digit is 4
thousandth digit is 6
and so on.
We have to limit our answer till hundredth digit.
As thousandth digit is 6 we will estimate the number as 0.05.
Now,
0.05 = 5/100
= [tex]\frac{5}{10^2} = 5*10^{-2}[/tex]
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An artist uses a coordinate plan to create a design. As part of the design, the artist wants to Graph the point ( - 6.5, 2). How should the artist graph this point.
6.5 units to the left of the origin, and 2 units above the origin
What is coordinate plane ?A coordinate plane is a surface with two dimensions made up of two number lines. It is created when the origin, the point at which the X-axis and Y-axis cross, is reached. To locate points, one uses the numbers on a coordinate grid. A coordinate plane is useful for graphing points, lines, and many other things. It serves as a map and provides clear instructions for getting from one place to another
What are coordinates ?Coordinates are a pair of numbers that identify a specific point on a coordinate plane, often known as a grid of coordinates. The ordered pair (x, y), which corresponds to the X-coordinate and the Y-coordinate, is expressed in parenthesis and is used to identify a point in a coordinate plane. Depending on where the point is in relation to the different quadrants, these coordinates may be positive, zero, or negative.
6.5 units to the left of the origin, and 2 units above the origin
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8. Find the greatest number which exactly divides 48 and 140.
Answer:
4
Step-by-step explanation:
Greatest Common Factor or Divisor is 4, because it is the greatest number that divides evenly into all of them.
Hope this helps! :)
A basketball player attempts 15 baskets in a game. He makes 9 out of the attempted baskets.
Which describes the number of the baskets the player made to the number of baskets the player attempted?
The ratio is 3:5 .
The problem we are dealing with is related to the term ratio, where the ratio is characterized as the comparison of two quantities of the same units that shows how much of one amount is present within the other amount. Ratios can be classified into two sorts. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio indicates how two distinct entities or groups are related. whereas, the part-to-whole proportion indicates the relationship between a particular group to an entirety.The situation we are given is that the player attempted 15 baskets in a game and out of 9 was the number of times he made the attempted baskets.We just need to find the ratio of the number of baskets made to the number of baskets attempted,
= 9:15
Here we divide each by 3
= 9/3: 15/3
=3:5
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The sum of an integer and 2 times the next consecutive integer is -13. Find the value of the greater integer.
Answer:x+x+1=13
2x+1=13
2x=13−1
2x=12
x=
2
12
x=6
x+1=6+1=7
Step-by-step explanation:yes
.the temperature is -15 degree. then the temperature is 11 degree. what is the degree warmer
Answer: 26
Step-by-step explanation:
If you take 26 minus 11 it gets you -15.
Number lines help a lot with negatives. You can also start with -15 and just start adding numbers starting at a large number and going up or down depending on you answer. Ex. -15 + 30 = 15, -15 + 25 = 10, -15 + 26 = 11.
Which number is NOT a perfect square?
9
1
4
2
Answer:
2
Step-by-step explanation:
A perfect square is the product of a number multiplied by itself.
So, 9 would be 3 x 3 so that's a perfect square.
1 is 1 x 1, so that is a perfect square.
4 is 2x2, so that is a perfect square.
2 does not have a number that multiplies by itself to equal 2, so it is not a perfect square.
Answer:
d) 2
Step-by-step explanation:
Now we have to,
→ find which is not a perfect square.
Let's solve the problem,
→ √9 = 3
→ √1 = 1
→ √4 = 2
→ √2 = 1.415
Hence, 2 is not a perfect square.
Tyrell bought n number of shares for s dollars and paid a 3% commission. He sold
the stock for d dollars and paid a flat fee of $15. Which expression below models
Tyrell’s net proceeds algebraically?
The expression that models Tyrell's net proceeds algebraically is d-(1.03ns + 15) .
In the question ,
it is given that ,
Tyrell bought n shares for s dollars
So the price Tyrell paid for shares = $ ns .
Tyrell also paid 3% commission ,
so the total cost price Tyrell paid for shares = price of share + commission
total cost price = ns + 3% of ns
= ns + 0.03ns ....as 3% = 0.03
= 1.03ns ...(i)
Tyrell sold the stocks for d dollars .
Tyrell also paid the flat fee of $15 .
So, the selling price for stocks = d-15 ......(ii)
The Tyrell's Net Proceeds can be calculated using the formula
Net Proceeds = Selling Price - Cost price
Substituting the values of selling price and cost price from (i) and (ii) ,
we get ,
Net Proceeds = (d-15)-(1.03ns)
= d-15-1.03ns
= d-(1.03ns + 15)
Therefore , the expression that models Tyrell's net proceeds algebraically is d-(1.03ns + 15) .
The given question is incomplete , the complete question is
Tyrell bought n number of shares for s dollars and paid a 3% commission. He sold the stock for d dollars and paid a flat fee of $15. Write an expression to model Tyrell’s net proceeds algebraically.
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Ruby went on a walk that was 10/3 miles long. She stopped to have lunch when she walked 12/25 of her way. How far, in miles, did ruby walk before lunch? Give your answer as a fraction in its simplest form
Fraction - The distance she walked before lunch 214 / 75 miles
What is Fraction ?
A fraction, which also represents a portion of a whole, is a mathematical symbol for any number of equal parts. A fraction, such as one-half, eight-fifths, and three-quarters, indicates the number of components of a specific size when used in conversational English.
Given that,
The distance Ruby has to walk = 10/3miles
The distance left to complete before stopping = 12/25miles
The distance Ruby has to walk before lunch = 10/3 - 12/25
= 250 - 36 / 75
= 214 / 75miles
Hence, she walked 214 / 75 miles before lunch
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A construction company is building a new office building with x floors that will have a roof that is 35 feet tall. Each floor of the building will be 10.5 feet high. Which equation can be used to find the total height of the office building, y, with x floors and the roof?
has to be like "y=mx+b"
Answer:
y = 10.5x + 35
Step-by-step explanation:
Since the roof is 35 feet tall, it will be the y-intercept (since it is constant). The number of floors can change, so it will be the x variable.
The final equation is y = 10.5x+35
in the graph below find the coordinates of the image point O is the origin and P is the point (1,-2) Ry and Rx are Reflections around the X & Y axis
If (1, -2) is reflected over the x-axis, then the image is (1, -(-2)) = (1, 2).
If (1, -2) is reflected over the y-axis, then the image is (-1, -2).
Then, the points are image over the x-axis is (1, 2), and the image over the y-axis is (-1,-2).
Need Help Asap Find the measure of a base angle using the Triangle Sum Theorem
Answer:
45°
Step-by-step explanation:
Given:
Angles are (5x+15)°, 3x° and 3x°.To Find:
Measure of base angle.Concept used:
Sum of all interior angles in a triangle is equal to 180° .Using the above concept, we have
5x + 15 + 3x + 3x = 180
11x = 165
x = 165/11
x = 15
So, 3x = 3*15 = 45°
So, the measure of base angle is 45°
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Base \:\: Angle=3x = 45° [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Property of Triangle : sum of all interior angles of a triangle is 180°
[tex]\qquad \tt \rightarrow \: 5x + 15 + 3x + 3x = 180[/tex]
[tex]\qquad \tt \rightarrow \: 5x + 3x + 3x + 15 = 180[/tex]
[tex]\qquad \tt \rightarrow \: 11x = 180 - 15[/tex]
[tex]\qquad \tt \rightarrow \:11 x = 165[/tex]
[tex]\qquad \tt \rightarrow \: x = 165 \div 11[/tex]
[tex]\qquad \tt \rightarrow \: x = 15[/tex]
Value of x is 15°, base angle is 3x :
[tex]\qquad \tt \rightarrow \: base \: \: angle = 3x = 3 \times 15 = 45 \degree[/tex]
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help past due!
Multiply the polynomials (5a² + 2a − 7) and (3a² − a + 1). Simplify
the answer.
Answer:
C
Step-by-step explanation:
Use the distributive property to solve.
(5a²+2a-7)(3a²-a+1)
=15a⁴-5a³+5a²+6a³-2a²+2a-21a²+7a-7
=15a⁴+a³-18a²+9a-7