Answer:
10.5
Step-by-step explanation:
2.99 divided by 2 = 1.495 x 7 = 10.465, rounded is 10.5.
The area of a rectangular book cover is 4x2 - 6x-40. The width of the book
cover is 2x - 8. What is the length of the book cover?
Step-by-step explanation:
4x^2-6x-40
2(2x^2-3x-20)
=2(2x+5)(x-4)
This year Boris watched 60 movies. He thought that 33 of them were very good. Of the movies he watched, what percentage did he rate as very good?
Answer:
55%
Step-by-step explanation:
To get 55 I just divided 33/60 and multiplied it buy 100
30-60-90 triangle..find the value of y ?
Answer:
cos 30°=b/h
√3/2=6√3/y
y=6√3/√3/2
y=12
If ABCD is dilated by a factor of 2, the
coordinate of B' would be:
B' ([?],[?])
PLEASE HELP I WILL MARK BRAINLIEST!!
Answer:
I believe its (- 2, 2 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is
B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )
1 over 5 +2 over 25 =
Answer: 0.28
Step-by-step explanation:
One airline ticket costs $412. for each additional airline ticket sold to a group, the price of all the tickets is reduced by $4. Write a quadratic function that gives the initial cost of buying x tickets.
Answer:
f(x)=104x-x^2
Step-by-step explanation:
Let
x = number of tickets sold.
example, 2 tickets cost 2 · 408 = $816
3 tickets cost 3 · 404 = $738.
The cost of buying x tickets= the number of tickets sold × the price of each ticket.
If x tickets are sold, then the price of each ticket is 412-4(x-1)
Then the quadratic function that gives the total cost of buying x tickets is given by
Cost =quantity sold*price
=412-4(x-1)*x
=(412-4x+4)*x
=412x-4x^2+4x
=416x-4x^2
Divide through by 4
=104x-x^2
Therefore, the required quadratic function is
f(x)=104x-x^2
Find an equation of the plane passing through (0,−1,4) that is orthogonal to the planes 5x+4y−4z=0 and −x+2y+5z=7. Question content area bottom Part 1 The equation of the plane is
The equation of the plane passing through (0, -1, 4) that is orthogonal to the planes 5x + 4y - 4z = 0 and -x + 2y + 5z = 7 can be found using the cross product of the normal vectors of the given planes.
Step 1: Find the normal vectors of the given planes.
For the first plane, 5x + 4y - 4z = 0, the coefficients of x, y, and z form the normal vector (5, 4, -4).
For the second plane, -x + 2y + 5z = 7, the coefficients of x, y, and z form the normal vector (-1, 2, 5).
Step 2: Take the cross-product of the normal vectors.
To find the cross product, multiply the corresponding components and subtract the products of the other components. This will give us the direction vector of the plane we're looking for.
Cross product: (5, 4, -4) × (-1, 2, 5) = (6, -29, -14)
Step 3: Use the direction vector and the given point to find the equation of the plane.
The equation of a plane can be written as Ax + By + Cz + D = 0, where (A, B, C) is the direction vector and (x, y, z) is any point on the plane.
Using the point (0, -1, 4) and the direction vector (6, -29, -14), we can substitute these values into the equation to find D.
6(0) - 29(-1) - 14(4) + D = 0
29 - 56 - 56 + D = 0
D = 83
Therefore, the equation of the plane passing through (0, -1, 4) and orthogonal to the planes 5x + 4y - 4z = 0 and -x + 2y + 5z = 7 is:
6x - 29y - 14z + 83 = 0.
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no angle given how do i solve
Answer:
the square means those to lines make a 90 degree angle aka. right angle
Step-by-step explanation:
Answer:
Sine of x = \(\frac{\sqrt{288} }{18}\)
Cos of x = 6 / 18
Step-by-step explanation:
To solve this:
We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle:
\(a^{2} + b^{2} = c^{2}\)
In any right angled triangle, for any angle:
The sine of the angle = the length of the opposite side / the length of the hypotenuse
The cosine of the angle = the length of the adjacent side / the length of the hypotenuse
In this right triangle, we know the opposite side is \(\sqrt{288}\), the adjacent side is 6, and the hypotenuse is 18
So to find the sine of x, we would do \(\frac{\sqrt{288} }{18}\)
And to find the cos of x, we would do 6 / 18
Hope this helps!! Pls mark as brainliest, ty.
If a mean weight of two groups of children were different with a p level of .03 is the difference statistically significant? What p level identifies statistical significance?
Yes, if the mean weight of two groups of children is different with a p-value of 0.03, the difference is statistically significant. Typically, a p-value of less than 0.05 is considered statistically significant, indicating that the observed difference is unlikely to be due to chance alone.
Yes, if the p level is .03, then the difference in mean weight between the two groups of children is statistically significant. The p level that identifies statistical significance is generally considered to be .05 or less, meaning that there is a 5% or less chance that the difference observed is due to random chance rather than a true difference between the two groups. Therefore, a p level of .03 is below the commonly accepted threshold for statistical significance and suggests that the difference in mean weight is not likely due to chance alone.
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if x:y = 0.75 : 0.90 and y:z is 1/3 : 1/4. a) simplfly x:y and z:y b) x:y:z
x:y=0.75:0.90
Here,
Dividing by the value of y=0.90,
x:y=0.75/0.90:0.90/0.90
=5/6:1
Similarly,
y:z=1/3:1/4
Dividing by 1/3,we get,
y:z=1:3/4
Now,
X:y:z=5/6:1:3/4
Multiplying by both value of y,0.90×1/3=3/10
x:y:z=5/6×3/10:1×3/10:3/4×3/10
By solving this,
x:y:z=1/4:3/10:9/40Answer:
Step-by-step explanation:
Jules is aboard a submarine studying marine life. She’s trying to find a family of whales and must time when the submarine descends perfectly to find them. Her submarine is 22 feet below sea level and descends at a constant rate of 12 ft. per minute. The submarine must stay no less than 400 ft. below sea level. Let m = the number of minutes. Write an inequality that can be used to find how long the submarine can descend. Then, write the time the submarine can descend.
Answer:
32.33 <= m
Step-by-step explanation:
Since we are dealing with below sea level our initial starting point and max level will both be negative values, while our descending rate will also be negative because we are going down. Using the values provided we can create the following inequality...
-400 <= -12m - 12
Now we can solve the inequality to find the max number of minutes that the submarine can descend.
-400 <= -12m - 12 ... add 12 on both sides
-388 <= -12m ... divide both sides by -12
32.33 <= m
Answer:
-22 + -12 >(or equal to) -400.at most 31.5 minutes
Step-by-step explanation:
got it right on cpl
The lowest temperature on a winter morning was –8$F. Later that same day the temperature reached a high of 24$F. By how many degrees Fahrenheit did the temperature increase?
Answer:
32 Fahrenheit
Step-by-step explanation:
Since it is -8, subtract -8.
Now, you have 0 Fahrenheit.
Then, you add 24, since the high was -24 Fahrenheit.
The total number you added and subtracted is 32 Fahrenheit.
Hope this helps!
121x\(121x^{2} -1\)
To multiply 121 and 121x²-1, we used the distributive property of multiplication and simplified the expression to get the final answer of 1331x² - 121.
To multiply 121 and 121x²-1, we need to use the distributive property of multiplication. We can break up 121 as 11 * 11 and write as
121 * (121x²-1) = (11 * 11) * (121x²-1)
Using the distributive property here, we can then write
= 11 * 11 * 121x² - 11 * 11 * 1
Simplifying the expression, we get
= 1331x² - 121
So the multiplication of 121 and 121x²-1 is 1331x² - 121.
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--The given question is incomplete, the complete question is given
" Multiply 121 * 121x²-1 "--
A computer processes tasks in the order they are received. Each task takes an Exponential amount of time with the average of 2 minutes. Compute the probability that a package of 5 tasks is processed in less than 8 minutes.
The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.
The probability of X being less than 8 minutes is given by:
P(X ≤ 8) = 1 - P(X > 8)
= \(1 - (1 - e^{(-8/2)}^{5}\)
= 0.963
Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
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Which statement about the transformation is true? it is rigid because all side lengths and angles are congruent. It is rigid because no side lengths or angles are congruent. It is nonrigid because all side lengths are congruent. It is nonrigid because no side lengths or angles are congruent.
The statement "It is rigid because all side lengths and angles are congruent" is true.
In mathematics, a transformation is considered rigid if it preserves distances and angles. For example, a translation, rotation, or reflection is a rigid transformation because it preserves distances and angles. If a transformation preserves side lengths and angles, then it is considered rigid, regardless of whether the side lengths and angles are congruent or not.
Answer: A. it is rigid because all side lengths and angles are congruent.
Step-by-step explanation: RIGHT ON EDGE 2023
Which of the following statements are true? Select all that apply.
((2x + 10
(x + 15)
B
A. (4x + 16)° = 180°
B. Xº = 49°
C. MZA= 99°
D. From smallest to largest: ZB, ZC, ZA
write 63.63 repeating decimal as a frication
Answer:
\(\frac{6363}{100}\)
Step-by-step explanation:
Answer:
700/11
I would say that's the answer
or 63 7/11
Apply the distributive property to factor out the greatest common factor. 6+30=6+30=6, plus, 30, equals
Step-by-step explanation:
the distributive property is 6(1+5), the greatest common factor is 6
Answer:
6(1+5)
Step-by-step explanation:
khan told me
Which expression has the sum of 11/12
A. 1/12+5/12+5/12
B. 5/4+3/4+3/4
C. 5/6+6/6
D. 10/12+2/12
I’m 13 and don’t understand this at all.
Answer:
A. 1/12+5/12+5/12
Step-by-step explanation:
From the given options; let us calculate the fractions and see which one tallies with 11/12
a) \(\dfrac{1}{12}+ \dfrac{5}{12} + \dfrac{5}{12}\)
The lowest common multiple (L.C.M) here is 12 because 12 goes in all the denominators.
So;
\(= \dfrac{1+5+5}{12}\)
\(= \dfrac{11}{12}\)
b)
\(\dfrac{5}{4}+\dfrac{3}{4}+\dfrac{3}{4}\)
Here, the lowest number that can be divisible by the denominators is 4
\(=\dfrac{5+3+3}{4}\)
\(=\dfrac{11}{4}\)
c)
\(\dfrac{5}{6}+\dfrac{6}{6}\)
\(=\dfrac{5+6}{6}\)
\(=\dfrac{11}{6}\)
d)
\(\dfrac{10}{12}+\dfrac{2}{12}\)
\(=\dfrac{10+2}{12}\)
\(= \dfrac{12}{12}\)
= 1
Thus, from the given options, the expression that has the sum of 11/12 is option A.
the number of tickets purchased by an individual for beckham college's holiday music festival is a uniformally distributed random variable ranging from 3 to 8. find the mean and standard deviation of this random variable
The value of mean is 5.5 and the value of standard deviation is 1.44.
Now, we need to find the mean and standard deviation of this random variable. The mean of a uniformly distributed random variable can be found by taking the average of the lower and upper bounds of the distribution. In this case, the lower bound is 3 and the upper bound is 8, so the mean would be:
Mean = (3+8)/2 = 5.5
So, the expected number of tickets purchased by an individual is 5.5.
Next, we need to find the standard deviation. The standard deviation is a measure of the deviation or spread of the data from the mean. For a uniform distribution, the formula for standard deviation is:
Standard Deviation = (Upper Bound - Lower Bound) / √12
Plugging in the values, we get:
Standard Deviation = (8-3) / √(12) = 1.44
This means that on average, the number of tickets purchased by an individual is expected to deviate from the mean by about 1.44 tickets.
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Huw is paid a weekly wage. Every week he: saves of his wage, spends 70% of the money he has left on his living expenses, spends all that remains on his social life. Huw saves £40 of his wage and spends £48 on his social life. What percentage of his weekly wage does Huw spend on his social life?
Answer:
Huw spends £48 on his social life
A circular field in a park will be planted with sod. Sod costs $3 per square yard. The
diameter of the field is 22 yards. What will it cost to sod the field? Show your work
I need help fast plss
The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°
Finding the measures of the anglesFrom the question, we have the following parameters that can be used in our computation:
The transversal lines and the other lines
So, we have
∠1 = 180 - 53
Evaluate
∠1 = 127°
Also, we have
∠5 = 53°
By vertical angles, we have
∠2 = 53°
∠3 = 127°
Next, we have
∠4 = 127 - 90°
∠4 = 37°
Solving further, we have
∠6 = 90°
By corresponding angles, we have
∠7 = 37°
∠9 = 180 - 90 - 53°
∠9 = 37°
∠10 = 90 + 53°
∠10 = 143°
∠8 = 143°
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A rectangle is shown. The length of the rectangle is labeled 10 feet. The width of the rectangle is labeled 4 feet.
What are the dimensions if the poster is enlarged by a factor of three over two?
A. 12ft by 30ft
B. 2ft by 5ft
C.6ft by 15ft
D.5ft by 12ft
Answer:
C, 6 by 15 ft.
Step-by-step explanation:
10*3/2=15, and 4*3/2=6, so we get 6 by 15ft
Pls brainliest for leveling up
7. Emma has $25 to spend. She wants to buy a
book for $14.50 and some bookmarks for
$0.50 each. Write an inequality that shows
the number of bookmarks, b, she can buy using
the money she has. (Lesson 7-1)
8. SO
(Les
-4m
Answer:
Emma can buy 21 bookmarks
Step-by-step explanation:
Add 14.50 + 0.50 + 0.50 + 0.50 + 0.50 + 0.50 you get it. Until she hits 25.00 dollars.
please help need answers ASAP!
Answer:
x=e³-5
Step-by-step explanation:
Solve the equation by rewriting in exponential form using the definition of a logarithm and simplifying.
11.04 = 1/2 (a + 0) 1.5
Answer: the value of a = 14.72 and if you evaluate it.
Have a good day
The Sum if two numbers is 54. The difference of the two numbers is 116. Find the numbers
Answer:
the numbers are 85 and -31.
Step-by-step explanation:
first, let the numbers be x and y.
so by question we have,
x+y=54.......(I)
x-y=116......(I I)
now, solve it through elimination method,
x+y=54
x-y=116
here, y and y cancelled out and we get,
or, x+x=54+116
or, 2x=170
or, x=170/2
therefore, x=85
now put value of x in any equation. let's put in eqn (I), we get,
or, x+y=54
or,85+y=54
or, y=54-85
so, y= -31
therefore, the numbers are 85 and - 31.
A study at a college on the west coast reveals that, historically, 36% of the students are minority students. If a random sample of 100 students is selected, what is the probability that between 31.2% and 50.4% students in the sample will be minority students?
The probability that between 31.2% and 50.4% of the students in the sample will be minority students is approximately 0.7154, or 71.54%.
To solve this problem, we can use the normal approximation to the binomial distribution, assuming that the sample size is large enough. The mean (μ) of the binomial distribution is given by n * p, where n is the sample size and p is the probability of success. In this case, the sample size is 100 and the probability of success is 0.36.
μ = n * p = 100 * 0.36 = 36
The standard deviation (σ) of the binomial distribution is given by the square root of n * p * (1 - p).
σ = √(n * p * (1 - p)) = √(100 * 0.36 * (1 - 0.36)) ≈ 4.16
To calculate the probability between 31.2% and 50.4%, we need to convert these percentages into z-scores using the formula:
z = (x - μ) / σ
where x is the observed value, μ is the mean, and σ is the standard deviation.
For 31.2%:
z1 = (31.2 - 36) / 4.16 ≈ -1.06
For 50.4%:
z2 = (50.4 - 36) / 4.16 ≈ 3.37
Next, we need to find the cumulative probabilities associated with these z-scores using a standard normal distribution table or calculator. The cumulative probability can be interpreted as the area under the normal curve up to a given z-score.
P(31.2% ≤ x ≤ 50.4%) = P(-1.06 ≤ z ≤ 3.37)
Using a standard normal distribution table or calculator, we can find the corresponding cumulative probabilities:
P(-1.06 ≤ z ≤ 3.37) ≈ 0.8577 - 0.1423 ≈ 0.7154
Therefore, the probability that between 31.2% and 50.4% of the students in the sample will be minority students is approximately 0.7154, or 71.54%.
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what is 4k - 4 = 32
it dont get it
Answer: K = 8
Step-by-step explanation:
For these kinds of problems you have to isolate the variable, the one we're trying to isolate is k.
First step is adding 4 to both sides to get rid of the -4 on the left.
Once you do that youll have 4k = 36.
Now divide both sides by 4 to get the k by itself, this'll give you k = 8.
You can plug it in to see if it's right.
4(8) - 4 = 32
36 - 4 = 32
32 = 32
So its correct