Answer:
a = -20/13
Step-by-step explanation:
7 - 13a = 27
-13a = 20
a = -20/13
Let's check
7 - 13(-20/13) = 27
7 + 260/13 = 27
7 + 20 = 27
27 = 27
So, a = -20/13 is the correct answer!
Without looking, you get to choose twice. You will not put them back
each time, because that would be gross.
A) What kind of event is this (independent or dependent)?
B) What is the probability that you would draw 2 reds?
show your work and answer
A) This is an independent event.
B) The probability that you would draw 2 reds is 0.017
What is probability?The likelihood of an event occurring is known as probability. You can determine how likely something is by asking someone what the probability of something happening is.
When people purchase lottery tickets, the likelihood of winning is typically stated, and it occasionally may be as low as 1/10,000,000. (or even worse). This informs you that there is a low likelihood that you will succeed.
There are 4 reds out 0f 30 colours
The probability of drawing red the first time is 4/30 = 2/15
The probability of drawing red on the 2nd time is 4/30 = 2/15
The probability of drawing red on the both draw is = 2/15 × 2/15
= 4/225
= 0.0170
Thus, The probability of drawing red on the both draw is 0.0170.
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Please helps with all steps to solve the problem.
The solution to the inequality is (-∞, 4.05) .An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.
Find inequality ?Both equations and inequalities are mathematical phrases created by connecting two expressions.
The equal sign (=) in an equation denotes that the two expressions are regarded as equal.
In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,,, or.
Given the inequality:
-3(4 – x) 6 < 9 – 2x
Solving the inequality:
(-12 + 3x)6 < 9 - 2x
-72 + 18x < 9 - 2x
20x < 81
x < 4.05
Therefore the solution to the inequality is (-∞, 4.05)
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In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average? Tasha, because she has the lowest ratio since 0.9 > 0.8
B) Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
C) Jana, because she has the lowest ratio since 0.9 > 0.8
D) Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30
Step-by-step explanation:
as the description says, the higher the ratio the better.
9/10 = 0.9
12/15 = 4/5 = 0.8
so, Tasha has the better batting average, as she has the higher ratio.
9/10 = 27/30
12/15 = 24/30
27/30 is higher than 24/30.
I need the answer for 9 and 10
Please help answer question
Answer: x = 9
Step-by-step explanation: To find the value of x, we must understand a few things:
- whatever is in lines like | 2x + 4 | means it's the absolute value or positive value of the number.
Now, with that out of the way, I have one more thing to explain.
- whenever trying to find the value of a variable, you need to do inverse operations, so the opposite of adding is subtracting, and the opposite of multiplication is division. Now, let's solve:
22 - 4 = ?
? = 18
18 / 2 = ?
?(x) = 9
Therefore, x = 9
We can check our answer by doing:
| 2(9) + 4 | = 22
2 x 9 = 18
18 + 4 = 22
22 = 22
So, both answers add up, so x = 9
I hope this helps!
Tom will create a password for his computer. The password must be a list of three different lowercase letters of the alphabet. How many passwords are possible?
I-Ready The map shows an obstacle course at a school fair.
Rewrite the radical expression as an expression with a rational exponent.
the seventh root of x to the thrid power
x to the three sevenths power
x to the seven thirds power
x^21
x^4
Answer:
To rewrite the radical expression "the seventh root of x to the thrid power" as an expression with a rational exponent, we need to use the property that allows us to rewrite a root of a power as a power with a rational exponent. This property states that "the nth root of x to the mth power" is equal to "x to the m/nth power".
Using this property, we can rewrite "the seventh root of x to the thrid power" as "x to the 3/7th power". Therefore, the correct answer is "x to the 3/7th power".
The other answer choices are not equivalent to the original expression. "x to the seven thirds power" is not a valid expression because "thirds" is not a unit of measurement. "x^21" is not equivalent to the original expression because the base and exponent are not related in the same way as in the original expression. "x^4" is not equivalent to the original expression because the base is the same but the exponent is not.
Answer: x to the 3/7th power
Step-by-step explanation:
so you dont have to read a essay to get the answer lol
The wall paper Jeff wants to use comes in rolls that are 1 yard wide and 10 yards long. How many square feet of wall paper are in each roll?
Answer:
Each roll of wallpaper has an area of 90 square feet.
Step-by-step explanation:
In order to find the number of square feet of wallpaper in each roll, we first need to calculate the total area of the wallpaper in the roll. The area is the product of the length and width of the roll.
The width of each roll is 1 yard, and the length of each roll is 10 yards.
Area of the wallpaper = width x length = 1 yard x 10 yards = 10 square yards
Now we need to convert the area from square yards to square feet, as the area of wallpaper is usually measured in square feet.
1 yard = 3 feet
So we need to multiply the area in square yards by the conversion factor, which is 9.
10 square yards = 10 square yard * 9 = 90 square feet
Therefore, each roll of wallpaper has an area of 90 square feet.
It's important to note that while calculating, the units should be consistent i.e area of a length (yard) multiplied with a width(yard) will give the area in square yards, which we converted to square feet by considering the conversion factor of 1 yard = 3 feet.
a crowded bus makes several stops along a city street,with no passengers boarding the bus at any stop.At the 1st stop 1/3 of the passengers exit.At the 2nd stop 3/7 of the remaining passengers exit the bus.What fraction of the original passengers remain on the bus?
The fraction of the original passengers remaining on the bus is 11/21.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.
.At the 1st stop 1/3 of the passengers exit.
At the 2nd stop, 3/7 of the remaining passengers exit the bus.
Therefore, The fraction of the original passengers who remain on the bus is,
= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].
= [ 1 - (1/3) - (3/21)].
= [ (2/3) - (3/21)].
= [(14 - 3)/21].
= 11/21.
So, 11/21 remains on the bus.
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This tablet shows an example of
was first used by the
>
It
Answer: the answer is 1.cuneiform & 2.sumerians
Step-by-step explanation: searched it up
it takes 9 people 40 minutes to clean a hotel lobby. How many minutes would it take 4 people
Answer:
90 minutes
Step-by-step explanation:
9 people = 40 minutes
4 people = 40/4=10
10 * 9= 90
therefore 4 people will finish the work in 90 minutes
Anyone know about this thanks :)
The height of the rock ledge is 20 meters and height of the tree is 59 meters.
What are heights and distances?Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.
From a rock ledge, the angle of elevation to the top of a tree is 22°. The angle of depression to the base of the tree is 12°.
a) Let the height of the rock ledge be x.
Now, tan12°=x/96
0.2125=x/96
x=20.4 meters
x≈20 meters
b) Let the height of the tree be y
Here, part of the tree is y-20
Now, tan22°=(y-20)/96
0.404=(y-20)/96
y-20=38.784
y=58.784
y≈59 meters
Therefore, the height of the rock ledge is 20 meters and height of the tree is 59 meters.
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Rosa goes to a restaurant and orders a meal that code $9. She wants to leave a 20% tip for the server. What is the total cost of Rosa meal?
Answer:
$10.80
Step-by-step explanation:
9 times 0.20 equals 1.80
9 + 1.80 = $10.80
Which is the graph of the equation y-1=(x-3)?
O
(-31).
10
CO
8
fi
Q
4.
y
Answer:
The graph of the equation "y - 1 = (x - 3)" is a straight line.
To graph this equation, we can start by rearranging the equation to get "y = x - 3 + 1". This simplifies to "y = x - 2".
This equation is in slope-intercept form, which means that the slope of the line is given by the coefficient of the x term, and the y-intercept (the point where the line crosses the y-axis) is given by the constant term. In this case, the slope is 1 and the y-intercept is (-2, 0).
To graph the line, we can start by plotting the y-intercept at the point (0, -2). Then, we can use the slope of 1 to find a second point on the line and draw a straight line through these two points. The graph of the equation "y = x - 2" is shown below:
[asy]
unitsize(1.5cm);
draw((-1.5,0)--(1.5,0));
draw((0,-2.5)--(0,2.5));
draw((-1.5,-2)--(1.5,2),dashed);
label("$x$", (1.5,0), E);
label("$y$", (0,2.5), N);
[/asy]
The graph of the equation "y - 1 = (x - 3)" is the same as the graph of the equation "y = x - 2", except that all the y-values on the graph are increased by 1. This means that the graph of the equation "y - 1 = (x - 3)" is obtained by shifting the graph of "y = x - 2" upward by 1 unit. The graph of the equation "y - 1 = (x - 3)" is shown below:
[asy]
unitsize(1.5cm);
draw((-1.5,0)--(1.5,0));
draw((0,-2.5)--(0,2.5));
draw((-1.5,-1)--(1.5,3),dashed);
label("$x$", (1.5,0), E);
label("$y$", (0,2.5), N);
[/asy]
The answer choices given in the question do not match the description of the graph of the equation "y - 1 = (x - 3)". "O" does not match the description of the graph, as it is not a graph of a straight line. "(-31)" and "10" do not match the description of the graph, as they are not graphs at all. "CO" does not match the description of the graph, as it is the graph of a circle, not a straight line. "8" does not match the description of the graph, as it is the graph of an exponential function, not a straight line. "fi" does not match the description of the graph, as it is not a graph of a function. "Q" does not match the description of the graph, as it is not a graph at all. "4." does not match the description of the graph, as it is not a graph of a function. "y" does not match the description of the graph, as it is not a graph at all.
Rewrite the limit as a definite integral for number 13
The notation of the limit as a definite integral is given as follows:
[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}} = \int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]
How to write the limit as an integral?The limit for this problem is defined as follows:
[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}}[/tex]
This is a limit of a Riemann sum, hence it can be written as a definite integral according to the rule presented as follows:
[tex]\int_a^b f(x) dx = \lim_{n \rightarrow \infty} \sum_{i = 1}^{n} f(a + \Delta_x i) \Delta_x[/tex]
As the second term is only a factor of n, the Delta is given as follows:
[tex]\Delta_x = n^{-\frac{3}{2}}[/tex]
As the a term does not appear in the function, the value of the coefficient a is given as follows:
a = 0.
The parent function dependent on k is given as follows:
[tex]f(x) = \sqrt{x}[/tex]
The parameter b is obtained as follows:
[tex]\Delta_x = \frac{b - a}{n}[/tex]
[tex]n^{-\frac{3}{2}} = \frac{b}{n}[/tex]
[tex]b = n^{-\frac{1}{2}}[/tex]
(the parameter n is not given).
Hence the definite integral is obtained as follows:
[tex]\int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]
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Write the equation of the ellipse with a center at (5,-2), one vertex at (2, -2) and a focus at
(5+ √5,-2)
On solving the provided question we can say that - the value of the ellipse will be (5+ , root5)
what is ellipse?In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.
here we have,
center at (5,-2), one vertex at (2, -2) and a focus at
(5+ √5,-2)
so the answer is (5+ , root5)
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(2.1)to the power of2 +5.2-7.2)x7.1
The numeric value of the expression ((2.1)² + 5.2 - 7.2) x 7.1 is given as follows:
17.1.
How to obtain the numeric value of the expression?The expression for this problem is defined as follows:
((2.1)² + 5.2 - 7.2) x 7.1
The precedence of operators follows the PEMDAS acronym, as follows:
P: power operations.E: exponent operations, with the same precedence as power operations, depending which appears first on the expression.M: multiplication operations.D: division operations, with the same precedence as division operations, depending which appears first on the expression.A: addition operations.S: subtraction operations, with the same precedence as subtraction operations, depending which appears first on the expression.Hence the parenthesis takes precedence, thus:
(2.1)² + 5.2 - 7.2.
Then the power takes precedence, thus:
(2.1)² + 5.2 - 7.2 = 4.41 + 5.2 - 7.2
Addition and subtraction can be done in any order, hence:
4.41 + 5.2 - 7.2 = 2.41.
Then the multiplication is given as follows:
2.41 x 7.1 = 17.1.
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y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost for rear crash repair cost for a certain models sedan use the equation to predict the full rear repair cost from a full front repair cost of $4594
Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.
What is line of regression?When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.
What is scalar?Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.
To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.
y = 2060 - 0.186(4594)
y = 2060 - 848.424
y = 1211.576
So the predicted full rear repair cost would be $1211.576
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Answer:
$1,206
Step-by-step explanation:
can someone help me please
Answer:
Step-by-step explanation:
-1 +2=1
2+2=4
5+1=6
A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses 1 2/3 pounds of gravel. For each pound of gravel, he uses 2/5 pound of cement. He is making enough concrete that he needs to use 3 pounds of sand. How many pounds of cement does he use? PLEASE HELP DUE NOW !! TYYY
A. 1 pound
B. 1 4/15 pounds
C. 2 pounds
D. 2 1/15 pounds
Using mathematical operations, the construction worker requires C. 2 pounds of cement to mix 3 pounds of sand.
What are the mathematical operations?The basic mathematical operations are subtraction, addition, division, and multiplication.
These mathematical operations combine numbers, variables, mathematical operands, and the equation symbol to solve mathematical problems.
In this situation, we can apply the mathematical operation of multiplication to determine the quantity of cement required for 5 pounds of gravel.
The quantity of gravel per pound of sand = 1²/₃ = 1.667 pounds
For 3 pounds of sand, the quantity of gravel required = 5 pounds (1²/₃ x 3)
The quantity of cement per pound of gravel = ²/₅ pounds or 0.4
For 3 pounds of sand and 5 pounds of gravel, the quantity of cement required = 2 (5 x 0.4) or (5 x ²/₅)
Thus, 2 pounds of cement are needed to mix with 3 pounds of sand and 5 pounds of gravel.
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Help please — How many whole months will it take for a motorbike valued at £2550 to depreciate to less than £1200 if depreciation is at a rate of 5% per month?
Using Continuous compounding in 15.07 months, the bike's value will be less than £1200.
What is Continuous compounding?Continuous compounding refers to the process of compounding interest at an infinitely frequent rate. It is a way to figure out how much an asset will depreciate over time or how much an investment will increase.
[tex]A=Pe^{rt}[/tex]
where:
A is the asset's final value
P is its initial value
r is the interest rate (or rate of depreciation in the case of a depreciating asset)
t is the time periods (months, years, etc.)
A= 1200
P= 2550
r= -0.05
We want to find t, so we can rearrange the formula to solve for t:
[tex]t=\frac{log\frac{A}{P}}{r}\\\\t=\frac{log\frac{1200}{2550} }{-0.05} \\ \\t=15.07months[/tex]
In 15.07 month motorbike value will depreciate to less than £1200
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What constant term should be used to complete the square?
x2.5x+_ _ _ =7
4/25
49/25
-49/25
25/4
The constant term that should be used to complete the square? x2 - 5x + _____ = 7 is 25/4
What is quadratic equation ?
A quadratic equation in the variable x is of the form. ax2 + bx + c = 0, where a, b, c are real numbers and a ≠ 0. • Roots of a quadratic equation : A real number α is said to be a root of the. quadratic equation ax2 + bx + c = 0, if aα2 + bα + c = 0.
Given:
x^2-5x+c=7, the constant term c will be obtained using the formula:
c=(-b/2a)²
The quadratic equation in its generic form is:
ax^2 + bx + c
To complete squares we must add the following term:
(b / 2) ^ 2
The equation is:
ax^ 2 - 5x + k = 7
By completing squares we have:
x ^ 2 - 5x + (-5/2) ^ 2 = 7 + (-5/2) ^ 2
Rewriting:
x ^ 2 - 5x + 6.25 = 7 + 6.25
Hence, A constant term should be used to complete the square is 25/4 or 6.25.
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1
Multiple Choice Question
What type of number is 105?
Choose all that apply
Whole number
Integer
Rational
Irrational
Analyzing the options given in the question, the options that satisfy for the number 105 are: Integer, Rational, Whole number.
What are whole numbers?All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions.
What are rational numbers?A rational number is a number which is in the form of p/q where p and q are both integers and q is not equal to zero.
The number 105 is , Whole number since it falls between all the numbers between 0 to positive infinity. Similarly, the number is an Integer since it does not contain any fractions or decimals. And, the number 105 is rational number since it can be expressed in the form of 105/1.
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WHAT IS A PRICE OF A 7 - MINUTE DIAL DIRECT CALL TO NEW YORK, NY, WHEN YOU
CALL IN THE EVENING?
The price of a seven minute call direct to New York, in the evening, is given as follows:
$5.82.
How to obtain the cost of the call?The cost of the call is obtained considering the information given in the table, for which the proportions are applied.
We have a direct call, meaning that it is a person-to-person call, thus the flat rate is of $3.00 per minute.
Then the minute proportions, considering that the call happens in the evening, are given as follows:
First minute: 0.38 of $3.Each additional minute: 0.26 of $3.A seven minute call is composed by six additional minutes after the first, hence the total cost is obtained as follows:
0.38 x 3 + 6 x 0.26 x 3 = $5.82.
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Solve each linear equation for x.
(A) –12x + 9 = –15x x = (B) 4.5x + 11.5 = 8.5x + 3.5 x = (C) 23 x – 9 = 13 x x =
Answer:
when I see this I know and can show you how to solve the question and the answer it 2 and it's obvious so if you don't know it that's pretty much sad and pathetic answer 2
I eh need the Answer to this please i am timed!!
Answer:
pro tip: crop your screen before you post it....
I think it's B
I did this 2 years ago in middle school
Suppose you have fewer than 10 place value blocks. How many different ways could you show 1214?
Answer:
To show 1214 using place value blocks, you would need at least 4 blocks: one thousand block, two hundred blocks, one ten block, and four ones blocks. If you have fewer than 4 blocks, it is not possible to show 1214 using place value blocks.
If you have exactly 4 blocks, you can show 1214 in only 1 way: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks.
If you have exactly 5 blocks, you can show 1214 in 2 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, or using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks.
If you have exactly 6 blocks, you can show 1214 in 3 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks, or using 1 thousand block, 1 hundred block, 3 ten blocks, and 4 ones blocks.
Therefore, if you have fewer than 10 place value blocks, you can show 1214 in 3 different ways.
there are no good answers on brainly can someone pls answer this
Answer:
D
Step-by-step explanation:
explanation on the other response on ur other question
3 3/8 Converted to improper fraction
Answer:
27/8
Step-by-step explanation:
First, note that 3 3/8 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:
3 = whole number
3 = numerator
8 = denominator
To convert mixed number 3 3/8 to improper fraction, you follow these steps:
1. Multiply the whole number by the denominator
3 × 8 = 24
2. Add the product from Step 1 to the numerator
24 + 3 = 27
3. Write answer from Step 2 over the denominator
27/8
The mixed number 3 3/8 converted to improper fraction is therefore :
27/8