Answer:
2/11
Step-by-step explanation:
We have to calculate this by
p(B nA)/p(A)
= We have A¹ to be that none of the die roll gives us 6
P(A¹) = 5/6²
P(A) = 1 -5/6²
= 11/36
BnA = one die being 6 and summation being equal to 8
= BnA = (6,2)(2,6)
= P(BnA) = 2/36
Therefore we have (2/36)/(11/36)
= 2/11
How many kilometers are in 3 centimeters?
Answer:
0.00003km
....................
kilo means 1000
and centi means 1/100
the length of a rectangle is 3 ft less than twice the width and the area of the rectangle is 65 ft squared find the dimensions.
The dimension of the rectangle is 10 by 6.5
How to determine the dimensions?The given parameters are:
Length, (L) = 2W - 3
Area = 65
The area of a rectangle is:
A = LW
So, we have:
LW = 65
Substitute L =2W - 3
(2W - 3)W = 65
Expand
2W^2 - 3W = 65
Rewrite as:
2W^2 - 3W - 65 = 0
Using a graphing calculator, we have:
W = 6.5
Substitute W = 6.5 in L =2W - 3
L =2 * 6.5 - 3
Evaluate
L =10
Hence, the dimension of the rectangle is 10 by 6.5
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She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $
.
The population of a bacterial culture grows at a rate of 4.5% every hour. If there were
200 bacteria at the start, how many bacteria are present after 10 hours?
310
250
300
370
There are 310 bacteria are present after 10 hours.
The first is the correct option.
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
Given:
The population of a bacterial culture grows at a rate of 4.5% every hour.
If there were 200 bacteria at the start,
then the number of bacteria after 10 hours are,
y = 200(1 + 0.045)¹⁰
y = 310.6
Therefore, 310.6 bacteria are present after 10 hours.
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Tom buys a UNC jersey with a 20% discount coupon.
Which response accurately calculates his new cost C
with respect to the original costs x?
a. C=x-0.20
B. C = 0.80x
C. C = 1.20x
d. C = x-0.80
The U.S. Crude Oil production, in billions of barrels, for the years from 2015 projected to 2035, can be modeled y=−0.003x2+0.028x+1.995, with x equal to the years after 2015 and y equal to the number of billions of barrels of crude oil.a. Find and interpret the vertex of the graph of this model.b. What does the model predict the crude oil production will be in 2038?c. Graph the function for the years 2015 to 2035.
we have the equation
\(y=-0.003x^2+0.028x+1.995\)this is the equation of a vertical parabola open downward
that means
the vertex is a maximum
using a graphing tool
see the attached figure
Part a
the vertex is the point (4.667, 2.06)
interpret the vertex
that means
For the year -----> 2015+4.665=2019.67=2020
the production is 2.06 billion of barrels of crude oil
Part b
What does the model predict the crude oil production will be in 2038?
For x=2038-2015=23 years
substitute the value of x in the given equation
\(y=-0.003(23)^2+0.028(23)+1.995\)y=1.052 billion of barrels of crude oil
Part c
Graph the function for the years 2015 to 2035
2015 ------> is For x=0
2035 ----> is For x=2035-2015=20
see the attached figure
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write the expression for the number of sweets Sue and Tony now have
Answer:
Sue : 13 - x Tony : x/2 + 9Step-by-step explanation:
Sue Tony_________________________________________________
initial number of sweets | 18 | 18
| |
Sue gives Tony x sweets | 18 - x | 18 + x
| |
Sue ,eats 5 of her sweets. and | 18 - x - 5 = | (18 + x)/2 =
Tony ,eats half of his sweets | 13 - x | 9 + x/2
Michael needs to save a 15 percent down payment for a car he wants to buy. He knows that cars of this make and model tend to sell for about $19,000. How much will he need to save?
Answer:
15 minutes or less can save you 15% or more on car insurance
Step-by-step explanation:
Gieko
Help! Look at the figure. If mzJ = 55, find m
90
35
70
55
The value of the required missing angle is;
m<JKM = 35°
How to find the missing angle of the triangle?We know from geometry that the sum of angles in a triangle sums up to 180 degrees.
Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.
We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.
Thus to find the angle m<JKM, we can write the name expression as;
m<JKM = 180 - (90 + 55)
m<JKM = 35°
Thus that's the value of the required missing angle.
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Richard is walking around her neighborhood. If he walks
1
3
mile in
1
6
hour, how fast is Richard walking, in miles per hour?
Answer:2 miles per hour
Step-by-step explanation:
1/3 times 6
To determine how fast is Richard walking, the concept of average speed comes into picture. The average speed of Richard is 2 miles per hour. Therefore the correct option is option B
What is Average speed?Average speed can be calculated by dividing total distance traveled by a body to the total time taken for the body to reach its destination.
Now determine how fast is Richard walking, in miles per hour
We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time
Total distance traveled by Richard = 1/3 mile
Total time taken = 1/6 hour
Average speed = total distance / total time
Average speed = (1/3) / (1/6)
Reciprocal the denominator term, and we get
Average speed = (1/3) × 6
Average speed = 2 miles per hour
Therefore, Richard is at an average speed of 2 miles per hour
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can someone help me i will give brainlest
Answer:
No, she is not correct.
She did not factor out the 2 on the left side.
\(2x + 3 = 2(x + \frac{3}{2} )\)
one strip is cut into 9 equal bars shade 1/3:of strip
hiiksbsjxbxjsoahwjsissnsks
Sarah negotiated a price of $25,290.00 for a new Toyota Camry Hybrid Sedan. She is prepared to give a down payment of 13%. Her credit union offered her a 4-year amortized loan for the remaining amount at a rate of 1.75%.
How much money will be paid in interest?
How much will the car cost, in total?
Answer: D
Step-by-step explanation:
The rectangular rug is similar to the rectangular floor. If the floor of the room measures 32 feet in length and 26 feet in width, what is the width of the rug?
The width of the rectangular rug is 13 feet and the length of the rectangular rug is 26 feet.
What is the step to calculate the area of the rectangle?Area of a rectangle formula: A = L * W. A
rectangle's length and width are multiplied to produce its area.
A is the area, L is the length, and W is the width or girth, where
A = L * W.
The corresponding sides of the rectangular rug and the rectangular floor must be proportional if they are alike.
Let's use "x" to represent the rug's width. The floor measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet according to the details provided. Since the rug and the surface are comparable, we can establish the following ratio:
Rug width/floor width = rug length/floor length
x / 26 = rug's length / 32
We can cross-multiply and then solve for "x" to find the answer:
32x = 26 * Rug's length
x = (26 * Rug Length) / 32
\(= \frac{26 * 16}{32} \\= \frac{26}{2} \\= 13\)
Therefore x ( the width of the rug) is = 13 feet.
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Complete question:
The rectangular rug is similar to the rectangular floor. If the floor of the room measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet, what is the width of the rug?
please help me with this
Answer:
F
Step-by-step explanation:
64x³ = -1
x³ = -1/64
x = ∛-1/∛64
x = -1/4
Answer:
x = - \(\frac{1}{4}\)
Step-by-step explanation:
64x³+1=0
Add 1 to both sides:
64x³=-1
Divide both sides by 64:
x³=-\(\frac{1}{64}\)
Find cubed root of both sides:
x=-\(\sqrt[3]{\frac{1}{64}}\)
Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :
x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)
Evaluate:
x = - \(\frac{1}{4}\)
11 less than the quotient of
4
44 and
�
xx.
The expression which is used to represents the statement "one-more than the quotient of a number x" and 4 is "x/4 + 1".
A "Quotient" is the result of a division operation between two numbers, where one number is divided by another. It represents the number of times one number is contained within another number.
An "Expression" is defined as "mathematical-phrase" which contain numbers, variables, and operators such as addition, subtraction, multiplication, and division. It can also contain functions and other mathematical symbols.
The quotient of a number"x" and 4 can be written as x/4.
So, one more than the quotient of a number x and 4 can be represented by the expression:
⇒ x/4 + 1,
Therefore, required mathematical expression is "x/4 + 1".
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The given question is incomplete, the complete question is
Write an expression to represent : One more than the quotient of a number x and 4.
A seed sprouted and grew 2/3 of a foot in 3 months. What was its rate of growth in feet per month?
Answer:
2.6 inches repeating per month
Answer:
2/9
Step-by-step explanation:
Trevor has a rectangular patch of dirt that has a length of 50 feet and a width of 30 feet. He wants to divide this area into two rectangular gardens as shown.
Write an expression to represent the area of the
garden on the left.
B. Write an expression to represent the area of the
garden on the right.
C. If the area of the garden on the left is greater, what
is the difference of the areas of the two gardens? Simplify your answer
Answer:
sweefe
Step-by-step explanation:
EFEFEEa
The sum of nine times a number, and 2, is equal to eight times the number.
Answer:
x = -2
Step-by-step explanation:
let the unknown number be x
\(9 \times x + 2 = 8 \times x \\ 9x + 2 = 8x\)
Collect like terms and simplify
\(9x - 8x = - 2 \\ x = - 2\)
The unknown number would be x = -2.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have given a statement as "The sum of nine times a number, and 2, is equal to eight times the number."
Let the unknown number be x
9x + 2 = 8x
Collect like terms and simplify;
9x - 8x = -2
x = -2
Thus, the variable would be x = -2.
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A systems analyst is testing the feasibility of using a new computer system. He wants to see if the new system uses less processing time than the old system. (Assume the original populations are normally distributed.) A sample of 25 jobs was selected and the processing time for each in seconds was recorded on each of the two systems. The results are as follows:Old System: mean = 27.2 seconds, s = 3.2 seconds, n - 25New System: mean = 24.3 seconds, s = 2.1 seconds, n = 25Difference (Old -New): mean = 2.9 seconds, s = 1.4 seconds, n = 25What is the alternative hypothesis for this problem?a. HA: µD≠0b. HA: µD>0c. HA: µD=0d. HA: µD<0
the null hypothesis is that the mean difference between the two systems is 0 (H0: µD=0).The alternative hypothesis for this problem is HA: µD>0.
The alternative hypothesis (HA) is the opposite of the null hypothesis (H0).
In this problem, the null hypothesis is that the mean difference between the two systems is 0 (H0: µD=0).
Therefore, the alternative hypothesis is that the mean difference between the two systems is greater than 0 (HA: µD>0).The mean difference of the two systems is 2.9 seconds. Therefore, the alternative hypothesis is that the mean difference between the two systems is greater than 0 (HA: µD>0).
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Henry has $ 21.50 to ride the trolley around San Francisco this week .It will cost him $ 0.50 every time he rides .Identify the dependent variable and independent variable.
Answer:
Dependent: Cost of the ride.
Independent: Number of rides.
Step-by-step explanation:
The independent variable is the variable what we change and the dependent variable is the variables which changes because of that changes.
Here the total cost of the ride changes for any change in the number of rides.
So the number of rides is the independent variable, and the total cost of the ride is the dependent variable
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.
What precisely is a triangle?A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.
Regarding the given diagram, the following claims are always true:
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 = 180°\s= m∠2 (the measure of the external angle at angle 2). (the measure of the exterior angle at angle 2). And because angles 2 and 3 are likewise interior triangle angles, we get m2 + m3 = m6, which can be rearranged to yield m5 + m6 = m3 + m4 + m5 = 180°.
m∠2 + m∠3 + m∠5 = 180°
This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.
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Earl runs 60 meters in 40 seconds. How many meters per second does Earl run?
Earl runs 1.5 meters per second.................
An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup. Which expression should be used to find the amount of the markup?
48 dollars (0.55)
48 dollars (55)
48 dollars (0.55) + 48 dollars
48 dollars (55) = 48 dollars
HELPPP.
Answer:
The 3rd answer is correct!
Step-by-step explanation:
Two identical point charges of q = +1.75 x 10
−
8
C are separated by a distance of 0.30 m. How much work is done by the electric field force to move them away from each other so that they are 1.05 m apart?
The electric field force does 1.90 x 10⁻⁸ J of work to move the two point charges from 0.30 m to 1.05 m apart.
What do you mean by electric field?The electric field is a vector field that represents the force experienced by a charged particle due to an electric charge distribution. It is a measure of the electric force per unit charge at a particular point in space. The electric field is defined as the negative gradient of the electric potential, which is the energy per unit charge that a charged particle would have at that point in space. The electric field can be used to calculate the force experienced by a charged particle in the presence of other charges, and is a fundamental concept in the study of electromagnetism.
The electric field force between two point charges is given by Coulomb's law:
F = k * (q₁ * q₂) / r²
where k is the Coulomb constant (8.99 x 10⁹ N m²/C²), q₁ and q₂ are the magnitudes of the charges, and r is the distance between the charges.
To calculate the work done by the electric field force, we need to find the force at the initial distance (0.30 m) and the final distance (1.05 m), and then subtract the work done at the initial distance from the work done at the final distance.
At a distance of 0.30 m, the force is:
F = k * (1.75 x 10⁻⁸ C)² / (0.30 m)² = 4.02 x 10⁻⁸ N
The work done at this distance is:
W = F * 0.30 m = 1.21 x 10⁻⁷ J
At a distance of 1.05 m, the force is:
F = k * (1.75 x 10⁻⁸ C)² / (1.05 m)² = 1.33 x 10⁻⁸ N
The work done at this distance is:
W = F * 1.05 m = 1.40 x 10⁻⁷ J
Finally, to find the total work done, we subtract the work done at the initial distance from the work done at the final distance:
W total = W final - W initial = 1.40 x 10⁻⁷ J - 1.21 x 10⁻⁷ J = 1.90 x 10⁻⁸ J.
Therefore, the electric field force does 1.90 x 10⁻⁸ J of work to move the two point charges from 0.30 m to 1.05 m apart.
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A baseball team is having an opening night ticket sale and all tickets are 25% off.
What is the discounted amount if the original ticket price is $85?
Answer:
9
Step-by-step explanation:
i took the test
help me pls i need thid right noe
Answer:
42
Step-by-step explanation:
A= # of sides * side length * apothem /2
Answer:
42 cm²
Step-by-step explanation:
The area (A) of the regular hexagon is calculated as
A = \(\frac{1}{2}\) pa ( p is the perimeter and a the apothem ), thus
p = 4 × 6 = 24 cm , so
A = \(\frac{1}{2}\) × 24 × 3.5 = 12 × 3.5 = 42 cm²
Please answer correctly, will give brainlist.
Answer:
the answer is 77
Step-by-step explanation:
A measures 32 and B measures 109 so you subtract 109 and 32 and your answer will be 77
Which is the solution to the inequality
-4x + 6<2x
Step-by-step explanation:
-4x+6<2x
add 4x to both sides
-4x+4x+6<2x+4x
0+6<6x
divide both sides by 6
6/6<6/6x
1<x
all values for the solution to the inequality are greater than 1
Hope that helps :)
Please give brainliest
If sales tax is 6 percent, how much sales tax must you pay on an oven that costs $362?
Answer:
Sales tax is 6%
The cost of the oven is $362
Sales tax for the oven will be 6% of $362
=6/100 x $362
=0.06 x $362
=$21.72
Step-by-step explanation: