60 points and brainliest
Find the sum of (6.5 x 10−9) and (4.6 x 10−10). Write the final answer in scientific notation.
6.96 x 10−9
6.96 x 10−10
1.11 x 10−18
11.1 x 10−19
Answer:
Below
Step-by-step explanation:
6.5 x 10^-9 is the same as 65 x 10^-10 now you can add them together (since the exponents are the same ) to get
69.6 x 10 ^-10 which is 6.96 x 10^-9
Convert 3.9m^2 into cm^2
I will leave good review!
Answer:
Step-by-step explanation:
To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.
So,
3.9 m² = 3.9 × (100 cm / 1 m)²
3.9 m² = 3.9 × 10,000 cm²
3.9 m² = 39,000 cm²
Therefore, 3.9 square meters is equal to 39,000 square centimeters.
Event A occurs with probability of 0.3 and event B occurs with probability 0.4. If A and B are independent, we may conclude that P (B/A) = 0.4. P (A and B) = 0.12. P (A/B) = 0.3. P (A or B) = 0.58. all of the answers are correct.
If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.
Which statements regarding the probabilities of events A and B are correct when they are independent?Let's evaluate each statement:
P(B/A) = 0.4:
This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.
Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.
P(A and B) = 0.12:
This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.
P(A/B) = 0.3:
This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.
P(A or B) = 0.58:
This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.
If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.
Therefore, the correct statements are:
P(A and B) = 0.12P(A or B) = 0.58The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.
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Explain how to use the figure below and a sequence of similarity transformations to prove that all circles are similar.
Translate circle A (blue), so that its center is the same with circle B (black)
A dilation is needed to increase the size of circle A to coincide with circle B. Let x be the value when multiply by r will create s.
The scale factor , x, to increase circle A is
\(\begin{gathered} x\cdot r=s\longrightarrow x=\frac{s}{r} \\ \\ \text{A translation, followed by a dilation with scale factor }\frac{s}{r}\text{ will map one circle} \\ \text{onto the other, thus proving that all circles are similar.} \end{gathered}\)
If 4 dozens eggs cost 336 pesos , then the cost of each egg is ?
Answer:
Each egg is 7 pesos
-------------------------------------------------------------------------------------------------------------
Step-by-step explanation:
One dozen mean 12, so 4 dozens means 4 x 12 = 48.
Dividing 336 by 48 we get
336 ÷ 48
= 7
Hence, the cost for each egg is 7 pesos.
-------------------------------------------------------------------------------------------------------------
Hope this helps :)
Have a nice day!
when data are positively skewed, the mean will usually be
With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.
Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.
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Serial box manufacturer change the size of a box to increase the amount of cereal contains the expressions 10+6.3 n and 7 +6.5n where nis the number of smaller boxes are both representative of the amount of cereal that the new larger box contains how many more boxes equal the same amount of cereal in a larger box
To determine the number of smaller boxes that would contain the same amount of cereal as a larger box, we set the expressions representing the cereal content equal to each other. Solving the equation, we find that 15 smaller boxes are required to match the cereal quantity in the larger box.
To find the number of smaller boxes that equal the same amount of cereal in a larger box, we need to equate the two expressions and solve for n.
Setting the expressions equal to each other:
10 + 6.3n = 7 + 6.5n
Simplifying the equation:
6.3n - 6.5n = 7 - 10
-0.2n = -3
Dividing both sides by -0.2:
n = -3 / -0.2
n = 15
Therefore, 15 smaller boxes would equal the same amount of cereal as the larger box.
The problem states that the expressions 10 + 6.3n and 7 + 6.5n represent the amount of cereal in the new larger box. The variable n represents the number of smaller boxes.
To find how many smaller boxes are equivalent to the larger box, we need to set the two expressions equal to each other and solve for n. This equation represents the balance between the amount of cereal in the larger box and the combined amount of cereal in the smaller boxes.
By simplifying the equation and solving for n, we find that 15 smaller boxes are needed to equal the same amount of cereal as the larger box.
This means that if the cereal manufacturer wants to package the same amount of cereal as the larger box, they would need to use 15 smaller boxes instead. This calculation helps the manufacturer determine the number of smaller boxes needed to maintain the same quantity of cereal while changing the box size.
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The vertical axis of the managerial grid measures ________, whereas the horizontal axis measures ________.
The vertical axis of the managerial grid measures concern for people, whereas the horizontal axis measures concern for production.
A managerial grid model is a self-assessment tool by which individuals and organizations can help identify a manager's or leader's style. The grid was originally developed by Robert R. Blake and Jane S. Mouton in the 1960s and has evolved in subsequent decades.
Based on the care for people and the concern for output, this model first identified five alternative leadership philosophies. Based on Theory Y, the ideal leadership stance in this approach. The grid hypothesis has always developed and changed.
Resilience was included as a new component and two more leadership philosophies were added to the theory. A new text, The Power to Change, was introduced to the grid management seminar in 1999.
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I'm actually really stuck will anyone help
Answer:
Step-by-step explanation:
104 units
Kendra has $7.35 in her purse. She needs at least $2.87 more to buy a special bead. What is the total amount, x, she needs for the bead? Which inequalities can be used to represent the situation?
The total amount Kendra needs for the bead is $2.87 more than the amount she currently has in her purse. So, the amount she needs can be represented as x = 7.35 + 2.87 = 10.22.
To represent the situation as an inequality, we can say that x ≥ 10.22. This means that the amount Kendra needs for the bead should be greater than or equal to 10.22 dollars.
We can also represent the situation as x > 7.35, meaning that the amount Kendra needs for the bead should be greater than the amount she currently has in her purse.
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anders makes scones using sugar,butter and flour in the ratio 1:2:8. He makes the scones using 100g of sugar, 300g of butter and 400g of flour.How much of each ingredient does he use?
Based on the ratio, Anders uses 72.73g of sugar, 145.46g of butter, and 581.84g of flour to make his scones.
Find the number by the ratioAnders makes scones using the ratio 1:2:8 for sugar, butter, and flour respectively. This means that for every 1 gram of sugar, he uses 2 grams of butter and 8 grams of flour.
To find out how much of each ingredient he uses, we can use the following steps:
1. Add the ratios together: 1 + 2 + 8 = 11
2. Divide the total amount of ingredients by the sum of the ratios: 100 + 300 + 400 = 800 / 11 = 72.73
3. Multiply each ratio by the result from step 2 to find the amount of each ingredient:
Sugar: 1 x 72.73 = 72.73g
Butter: 2 x 72.73 = 145.46g
Flour: 8 x 72.73 = 581.84g
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How do you write 10 more than a number?.
To write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10.
To write 10 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.
In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 10 + Number = N+10.
This notation means that we are adding 10 to a number, which results in N+10. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+10.
Another way to write 10 more than a number is to use the phrase "10 plus a number". This phrase indicates that we are adding 10 to a number to get N+10.
Therefore, In short, to write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10. This means that we are adding 10 to a number, resulting in N+10. It can also be written as "10 plus N", indicating the same operation.
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If 58 books are checked out of a class library, and 42 books are left on the
shelves, how many books in total belong to the class library?
In a survey at a local university, 47% of students say that they get less than the recommended eight hours of sleep per night. In a group of 4000 students, how many would you expect get eight or more hours of sleep per night?
Answer: 2120 Students
(Sorry if my explanation has more steps then it needs)
Step-by-step explanation:
1% of 4000.
4000/100
=40
47x40=1880
4000-1880 = 2120
An executive of Trident Communications recently traveled to London, Paris, and Rome. He paid $180, $230, and
$160 per night for lodging in London, Paris, and Rome, respectively, and his hotel bills totaled $2660. He spent $110,
$120, and $90 per day for his meals in London, Paris, and Rome, respectively, and his expenses for meals totaled
$1520. If he spent as many days in London as he did in Paris and Rome combined, how many days did he stay in
each city? (4 marks)
The executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.
The number of days in each cityLet x be the number of days the executive stayed in London, y be the number of days he stayed in Paris, and z be the number of days he stayed in Rome.
We can set up the following equations to represent the given information:
180x + 230y + 160z = 2660 (hotel bills)
110x + 120y + 90z = 1520 (meal expenses)
x = y + z (he spent as many days in London as he did in Paris and Rome combined)
We can rearrange the third equation to get y + z - x = 0 and substitute it into the first two equations to eliminate x:
180x + 230y + 160z = 2660
110x + 120y + 90z = 1520
-180y - 180z + 180x = 0
Adding the first and third equations gives us:
360x + 50y - 20z = 2660
Adding the second and third equations gives us: 290x - 60y - 90z = 1520
We can now solve for x by multiplying the first equation by 3 and the second equation by 5 and subtracting them:
1080x + 150y - 60z = 7980
-1450x + 300y + 450z = 7600
----------------------------------
1630x - 150y - 510z = 380
Solving for x gives us:
x = (150y + 510z + 380) / 1630
Substituting this back into the third equation gives us:
y + z - (150y + 510z + 380) / 1630 = 0
Multiplying by 1630 and rearranging gives us:
1480y + 490z = 380
We can now solve for y by multiplying the first equation by 490 and the second equation by 50 and subtracting them:
490(360x + 50y - 20z) = 490(2660)
50(290x - 60y - 90z) = 50(1520)
---------------------------------------------------
19600x + 24500y - 9800z = 1303400
-14500x + 3000y + 4500z = 76000 --------------------------------------------------
4100x - 21500y - 14300z = 1227400
Solving for y gives us:
y = (4100x + 14300z - 1227400) / 21500
Substituting this back into the equation 1480y + 490z = 380 gives us:
1480(4100x + 14300z - 1227400) / 21500 + 490z = 380
Multiplying by 21500 and rearranging gives us:
606800x + 2054200z - 1817320000 = 0
Solving for z gives us:
z = (1817320000 - 606800x) / 2054200
Substituting this back into the equation x = y + z gives us:
x = y + (1817320000 - 606800x) / 2054200
Multiplying by 2054200 and rearranging gives us: 606800x^2 - 2054200xy - 2054200x + 1817320000y + 3707618640000 = 0
Using the quadratic formula, we can find the value of x:
x = (2054200y + 2054200 ± √[(2054200y + 2054200)^2 - 4(606800)(1817320000y + 3707618640000)]) / (2*606800)
Plugging in the value of y from earlier gives us:
x = (2054200(4100x + 14300z - 1227400) / 21500 + 2054200 ± √[(2054200(4100x + 14300z - 1227400) / 21500 + 2054200)^2 - 4(606800)(1817320000(4100x + 14300z - 1227400) / 21500 + 3707618640000)]) / (2*606800)
Simplifying and solving for x gives us:
x = 10
Substituting this back into the equation x = y + z gives us:
10 = y + z
Substituting this back into the equation 1480y + 490z = 380 gives us:
1480y + 490(10 - y) = 380
Solving for y gives us:
y = 6
Substituting this back into the equation 10 = y + z gives us: 10 = 6 + z
Solving for z gives us:
z = 4
Therefore, the executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.
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Martin is a hair stylist. He averages a weekly wage of $240 and
usually gets another $356 in tips. What is his average total
income?
To find Martin's average total income, we need to add his average weekly wage to his average weekly tips:
$240 (weekly wage) + $356 (weekly tips) = $596 (average total income)
Therefore, Martin's average total income is $596 per week.
Ramon wants to make an acute triangle with three pieces of wood. so far, he has cut wood lengths of 7 inches and 3 inches. he still needs to cut the longest side. what length must the longest side be in order for the triangle to be acute? exactly startroot 58 endroot inches greater than startroot 58 endroot inches but less than 10 inches less than startroot 58 endroot inches but greater than 7 inches not enough information given
Option C: Less than \(\sqrt58\\\) inches but greater than 7 inches
Ramon wants to make an acute triangle with three pieces of wood. So far,
he has cut wood lengths of 7 inches and 3 inches.
What length must the longest side be in order for the triangle to be acute?
According to the property of triangle,
If the square of larger side of triangle is equating to the sum of square of smaller side.
If \(a^{2} < b^{2}+c^{2}\) the triangle is acute triangle.
where, 'a' is the larger side and 'b' ,'c' are the smaller side
According to the question, Let a =a , b = 7, c = 3
\(a^{2} < 7^{2}+3^{2}\\ a^{2} < 49+9\\ a < \sqrt58\)
Means to be acute triangle third side must be less than \(\sqrt58\) inches but greater than 7 inches.
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Answer:
less than 58 inches but greater than 7
Step-by-step explanation:
i got it right on edge
The sum of two numbers is 50. One number is 10 less than three times the other number. What are the two numbers?
А. 25 and 25
B. 45 and 5
C. 15 and 35
D. 40 and 10
E. 20 and 30
The figure below shows the first 3 steps in the construction of a Sierpinski Triangle.
1 equilateral 3 congruent 9 congruent
triangle
equilateral equilateral
triangles
triangles
Which property explains why each of the 9 small triangles in step 3 is similar to the large triangle in step 1?
A. The side-side property of congruent triangles can be used because all the sides of an equilateral triangle are similar.
B. The side-side property of similar triangles can be used because all the sides of an equilateral triangle are congruent.
C. The angle-angle property of congruent triangles can be used because all the angles of an equilateral triangle are similar.
D. The angle-angle property of similar triangles can be used because all the angles of an equilateral triangle are congruent.
ок
Answer:
c
Step-by-step explanation:
22 The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83? a. 98 b. 39 c. 6
d. 148 e.49
The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98
The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?
The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.
The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:
Minimum value = 35
First quartile Q1 = 68
Median = 77
Third quartile Q3 = 83
Maximum value = 97
The interval 68–83 is the range between Q1 and Q3.
Thus, it is the interquartile range.
The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15
The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.
Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98
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What is the equation of a line that passes through (8,-5) and is parallel to the graphed line? In a linear graph line diagram, A line. Passes through 4 and minus 6
The equation of the line that passes through (8, -5) and is parallel to the graphed line is y = (1/4)x - 7.
To find the equation of a line that is parallel to the graphed line and passes through the point (8, -5), we need to determine the slope of the given line first.
Since the parallel line has the same slope as the given line, we can use the point-slope form of a linear equation to find the equation of the parallel line.
The point-slope form is given by:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope.
In this case, we have the point (8, -5) and we need to find the slope of the given line.
Let's assume the given line passes through the point (4, -6).
Using the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-6 - (-5)) / (4 - 8)
m = (-6 + 5) / (-4)
m = -1 / -4
m = 1/4
Now that we have the slope, we can substitute the values into the point-slope form:
y - (-5) = (1/4)(x - 8)
Simplifying the equation:
y + 5 = (1/4)x - 2
Subtracting 5 from both sides:
y = (1/4)x - 7
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The cost to enter the fair is $9. Rides cost $5 each. Write the equation to represent this problem.
Class comments
anser?
dose anyone know
Answer:
-1/6
Step-by-step explanation:
Pls help!!
Using the following graph, write the equation of a line that is parallel to the given line and passes through the point (0, 0).
(Write your answer is slope intercept form. The y= is already typed for you, so only type the remainder of the equation using NO spaces!)
Answer:
0
Step-by-step explanation:
because the rule says have u understand
We are given a stick that extends from 0 to x. Its length, x, is the realization of an exponential random variable X, with mean 1. We break that stick at a point Y that is uniformly distributed over the interval [0, x]. 1. Write down the (fully specified) joint PDF fx.x (x, y) of X and Y. For 0 < y
The joint PDF of X and Y is fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.
The joint probability density function (PDF) of X and Y can be obtained by multiplying the individual PDFs of X and Y, as they are independent random variables.
Given:
X ~ Exponential(λ), with mean 1 (λ = 1)
Y ~ Uniform(0, X), for 0 < y < x
To find the joint PDF, we first need to express the PDFs of X and Y.
PDF of X:
fX(x) = λ * exp(-λx) for x > 0 (Exponential distribution with parameter λ)
PDF of Y:
fY(y|x) = 1 / x for 0 < y < x (Uniform distribution on interval [0, x])
Now, we can find the joint PDF by multiplying these individual PDFs:
fx.x (x, y) = fX(x) * fY(y|x)
Substituting the PDFs:
fx.x (x, y) = (λ * exp(-λx)) * (1 / x)
fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x
Therefore, the fully specified joint PDF of X and Y is:
fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.
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Felipe gave 4 people candy. He split 7/8
pounds among them.
What is the unit rate in pounds per person?
Write your answer in simplest form.
Answer:
0.88 pounds per person.
Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge the same prices. Will's Watersports made a total of $780 from renting 12 jet skis and 9 kayaks. Family Fun Rentals made a total of $570 from renting 7 jet skis and 11 kayaks. What is the cost of each type of rental?
Answer:
To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
Step-by-step explanation:
Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:
Will's shop:
12*x + 9*y = 780
Fun Rentals:
7*x + 11*y = 570
\(\left \{ {{12x+ 9y=780} \atop {7x + 11y =570}} \right.\\\)
We can isolate "x" on the second equation, we have:
\(x = \frac{570 - 11y}{7}\)
Applying this value on the first equation:
\(12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20\)
Applying the value of "y" we found on the "x" equation above, we have:\(x = \frac{570 - 11*20}{7}\\x = 50\\\)
Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
1kg=2,25 pounds. Uncle Makhosi needs 3 and half pounds of butter. Determine the amount of butter in kilograms
Uncle Makhosi needs approximately 1.56 kilograms of butter.
To determine the amount of butter in kilograms, we'll use the conversion rate of 1 kg = 2.25 pounds.
First, we need to convert 3 and a half pounds to a decimal form. Since half a pound is equal to 0.5 pounds, we can express 3 and a half pounds as 3.5 pounds.
Next, we'll use the conversion rate to calculate the equivalent weight of 3.5 pounds in kilograms:
3.5 pounds * (1 kg / 2.25 pounds) = 1.56 kilograms (rounded to two decimal places).
To summarize, based on the given conversion rate of 1 kg = 2.25 pounds, Uncle Makhosi requires approximately 1.56 kilograms of butter to fulfill his 3 and a half pound requirement. This conversion can be useful when dealing with different units of measurement, allowing us to easily switch between kilograms and pounds.
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Find the equation of a line with a slope of 1 and passing through (11;3)
Step-by-step explanation:
slope(m)=(Y-Y1)/X-X1
here,
M=1
(X1,Y1)=(11,3)
NOW,
m=(Y-Y1)/(X-X1)
1=(Y-3)/(X-11)
1×(X-11)=Y-3
X-11=Y-3
X-Y-11+3=0
X-Y-8=0
X-Y=0 is the required equation.
Can somebody please help me?
Answer:
1 23/36
Step-by-step explanation:
hope this helped