2 notebooks
Step-by-step explanation:
the variables I'm gonna use are t for textbooks and n for notebooks
t = (n•2)+3 (two times the notebooks then add 3)
now we'll plug in the amount of notebooks we have so t=7
7=(n•2)+3
we can subtract 3 from each side that leaves us with
4=n•2
then divide by 2
2=n
Guillermo bought 2 notebooks
please help, i don't know what to do
Answer: x = 42
Step-by-step explanation:
What multiplication facts can be found by using the arrays for 5x6 and 2x6
The multiplication of the two arrays will be 360.
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
The given arrays of the numbers are 5x6 and 2x6. The multiplication of the two numbers will be done as,
M = ( 5 x 6 ) x ( 2 x 6 )
Multiply both the numbers and solve,
M = 30 x 12
M = 360
Therefore, the multiplication of the two arrays will be 360.
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use green's theorem to evaluate the line integral along the given positively oriented curve. c cos(y) dx x2 sin(y) dy c is the rectangle with vertices (0, 0), (3, 0), (3, 1), (0, 1)
30(1-cos2) is the evaluated line integral along the given positively oriented curve.
What is Green's Theorem?Green's theorem is mostly utilized to evaluate the line integral of a single direction and a curved plane. The link between a line integral and a surface integral is demonstrated by this theorem. It is connected to several theorems, including the Gauss theorem and the Stokes theorem.
To integrate the derivatives in a certain plane, one uses Green's theorem. This thesis can be employed to transform a given line integral into a surface integral, double integral, or conversely.
One of the four calculus foundational theorems, all 4 of whom are intimately connected to one another, is the Green's theorem.
How to solve?
By Green's theorem, we have
∫c (cist dx + x² siny dy ) = ∫∫r [μ(x²siny)/μx - μcosy/μy dxdy
where C is the *boundary* of the rectangle .
The integral is then
=(cos0 -cos2)∫(5,5)(2x +1)dx
=(1-cos2)(5²+5)
=30(1-cos2)
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A researcher wishes to see if there is a difference in the cholesterol levels of two groups of men. A random sample of 30 men between the ages of 25 and 40 is selected and tested, the average cholesterol level was 223 with standard deviation of 6.1. A second sample of 25 men between ages of 41 and 56 is selected and tested, the average cholesterol level for this group was 229 with standard deviation of 5.8. Assume the populations are normally distributed and the population standard deviation are unequal.
A. At [tex]\alpha = 0.01[/tex], is there a difference in the cholesterol levels between the two groups? Use traditional method.
B. Use confidence interval to verify your answers in (A).
a. There is a difference in the cholesterol levels between the two groups.
b. The confidence interval for the differences is of (1.7, 10.3), not containing 0 and thus verifying what was found in item a.
What are the hypothesis tested?At the null hypothesis, it is tested that there is no difference, that is, the mean of the subtraction is of zero, hence:
[tex]H_0: \mu_d = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, that is, the mean of the subtraction is different of zero, hence:
[tex]H_1: \mu_d \neq 0[/tex]
We have a two-tailed test, as we are testing if the mean is different of value, with 30 + 25 - 2 = 53 df, with a significance level of 0.01, hence the critical value is of:
t = 2.6718
Hence the decision rule, considering the test statistic t, is given as follows:
|t| < 2.6718: do not reject the null hypothesis -> not enough evidence to conclude that there is a difference.|t| > 2.6718: reject the null hypothesis -> enough evidence to conclude that there is a difference.What are the mean and the standard deviation of the distribution of differences?For each sample, the mean and the standard error are given as follows:
Sample 1: [tex]\mu_1 = 223, s_1 = \frac{6.1}{\sqrt{30}} = 1.1137[/tex].Sample 2: [tex]\mu_2 = 229, s_2 = \frac{5.8}{\sqrt{25}} = 1.16[/tex].Hence the mean and the standard error for the distribution of differences is given as follows:
Mean: [tex]\overline{x} = \mu_2 - \mu_1 = 229 - 223 = 6[/tex].Standard Error: [tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{1.1137^2 + 1.16^2} = 1.61[/tex]What is the test statistic?The test statistic is obtained as the division of the sample mean by the standard error, hence:
t = 6/1.61
t = 3.73.
t > 2.6718, hence the null hypothesis is rejected, and there is a difference in the cholesterol levels between the two groups.
What is the confidence interval?The confidence interval is obtained as the sample mean plus/minus the multiplication of the standard error and of the critical value.
Hence the lower bound of the confidence interval is of:
6 - 2.6718 x 1.61 = 1.7.
The upper bound is of:
6 + 2.6718 x 1.61 = 10.3.
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Rewrite 4/6 : 1/3 as a unit rate
A. 2:1
B. 2:9
C. 12:9
D. 12:6
Answer: 2/1 should be your answer
Step-by-step explanation:
4 x 3= 12/6
1 x 3= 3/3
12 divided by 2 = 2 3 divided 3= 1
2/1
a scale drawing of an office space uses a scale of 1 in. : 6 yd. the scale drawing has an area of 6 square inches. what is the area of the actual office space?
The area of the actual office space is 36 yards if the scale is 1:6 yards.
An item is enlarged in a scale drawing. An expansion increases or decreases the size of an item by multiplying each of its lengths by a scale factor. A scale of 1:5, for instance, indicates that the size of 1 unit in the picture corresponds to the size of 5 units in the actual world.
The scale of office space is 1:6 yards. The scale drawing has an area of 6 square inches. This means that 1 scale represents 6 square inches of office. For the actual area multiply 6 by the area of the scale drawing which will give 36 yards.
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work out angle h
(simple circle theorems)
could someone help me with this? i will rate brainliest xx
Answer:
h = 90°
Step-by-step explanation:
You want the measure of the inscribed angle in a semicircle.
Inscribed angleAn inscribed angle has a measure equal to half the arc it subtends. Angle h intercepts the circle at the endpoints of a diameter, so subtends an arc of 180° (half a circle).
The measure of angle h is half of 180°, or 90°.
h = 90°
__
Additional comment
The fact that a triangle inscribed in a semicircle is a right triangle is useful for a variety of purposes. It is also useful to note that the circle center is the circumcenter, and is the midpoint of the hypotenuse.
Find the volume.
2ft 2ft 2ft
Answer:
Volume = 2×2×2 = 8 feet3
Directions: Graph and label each figure and its image under the rotation about the given point. Give the
coordinates of the image.
Parallelogram ABCD with vertices A(6, 8), B(10, 9), C(9. 3).
and D(5, 2): 90° counterclockwise rotation about P(4, 1)
Answer:
See below
Step-by-step explanation:
This is a hard to explain without showing you, if it does not make sense it is not you, it is just hard to explain without showing you.
a new surgical procedure is said to be successful 90% of the time. suppose the procedure is performed five times. assume that the results of each procedure are independent of one another. in this binomial distribution application, which excel statement will find the probability of between 2 and 4, inclusively, successful surgical procedures?
The required probability is p(xS 2) =F(2).
Given that,
90% of the time, a novel surgical technique is deemed to be successful. Imagine that the technique is carried out five times. Count on the outcomes of each procedure being distinct from one another. in this application of the binomial distribution
BINOMDIST (2,5,90%, TRUE) is used to find the probability of 2 or fewer
to get 0.00856 because x =2 and n= 5 and TRUE indicates the cumulative
and the required probability is p(xS 2) =F(2)
Therefore, the required probability is p(xS 2) =F(2).
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Solve for b.
5/b = 45/36
b = ?
Answer:
b = 4
Step-by-step explanation:
Step 1: Divide 45 by 36 on the right side
1. 5/b = 1.25
Step 2: Multiply both sides by b and flip the equation
2. 1.25b = 5
Step 3: Divide both sides by 1.25
3. b = 4
[tex]\fbox{b=4}[/tex]
Cross multiply:
[tex]\dfrac{5}{b} =\dfrac{45}{36}[/tex]
[tex](5)\times(36)=45\times(b)[/tex]
[tex]180=45b[/tex]
Flip the equation:
[tex]45b=180[/tex]
Divide both sides by 45:
[tex]\dfrac{45b}{45} =\dfrac{180}{45}[/tex]
[tex]b=4[/tex]
a parabola has one x-intercept at (– 4, 0). if the vertex is at (2, 5), find the other x-intercept.
The equation of the parabola is y -5 = (5/6) (x - 2)^2
How do you define a parabola?a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.
What is the parabola on a graph?A quadratic function's U-shaped curve is shown on a parabola graph. A right circular cone and a plane surface intersect to form one of the conic sections known as a parabola in mathematics. The plane is symmetrical. U-shaped bend
y - k = a (x - h)2
where the vertex is (h,k). Since the vertex is known to be at (7,-3), we know that h = 7 and k = -3. Consequently, the equation is
y -5 = a (x - 2)2
We utilize the fact that the parabola passes through point to determine a for (4,0). With x =- 4 and y = 0, we obtain
0 - 5 = a (-4 - 2)
-5 = a (-6)2
-5 = -6a
a = 5/6
Consequently, the parabola's equation is
y -5 = (5/6) (x - 2)^2
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Camden found a bike on sale for $121. The sale was 45% off. How much money did Camden save on the bike because of the sale?
Please help me with this question. I need it immediately, and it is Grade 7 math.
To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Scott has a tree in his lawn. The tree grows 25 centimeters every year. Since the tree began developing, Scott has managed 16 centimeters off its level. The objective for the tree's level is given by 25x - 16 ≥ 234, where x is the quantity of years the tree develops.
Simplify the inequality, then we have
25x - 16 ≥ 234
25x ≥ 234 + 16
25x ≥ 250
x ≥ 10
To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.
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write a formula for f, the specific antiderivative of f. (remember to use absolute values where appropriate.) f(u)
The formula for f , the specific antiderivative of f is F(u) = 4㏑(u) + u²/2 + 11/2 .
In the question ,
it is given that ,
the function f(u) is f(u) = 4/u + u and f(1) = 6 ,
to find the antiderivative of f , we integrate it with respect to u ,
∫f(u) = 4∫(1/u)du + ∫u.du
On integrating ,
we get ,
F(u) = 4㏑(u) + u²/2 + c ......equation(1)
Substituting the value of u = 1 in equation(1) ,
we get ,
F(1) = 4㏑(1) + 1/2 + c
6 = 0 + 1/2 + c
c = 6 - 1/2
c = 11/2 .
Now , substituting the value of c = 11/2 in equation(1) , we get
F(u) = 4㏑(u) + u²/2 + 11/2
Therefore , the formula for f is F(u) = 4㏑(u) + u²/2 + 11/2 .
The given question is incomplete , the complete question is
Write a formula for f, the specific antiderivative of f.
f(u) = 4/u + u ; F(1) = 6 .
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a) How many prime numbers are multiples of 5?
b) How many prime numbers are multiples of 8?
Answer:
afternoon and
a) =1
Step-by-step explanation:
because there is only one prime number in multiples of 5 that is 5
d) 1What is (-3 3/4) - (-2 1/4)?
true or false: with a well-designed sample survery, the sample percentage is very likely to equl the population percentage
This sentence is False, when the sample size is small, the sample percentage may not be equal to the population percentage.
In demographics, the sector population is the overall quantity of human beings presently residing. It turned into predicted by the United countries to have exceeded eight billion in November 2022. It took over 2 hundred,000 years of human prehistory and history for the human populace to attain one billion and only 219 years extra to attain 8 billion.
The human population experienced a non-stop boom following the Great Famine of 1315–1317 and the end of the Black dying in 1350 when it became nearly 370,000,000. the very best worldwide populace growth quotes, with increases of over 1.8% in line with 12 months, took place between 1955 and 1975, peaking at 2.1% between 1965 and 1970. The increased charge declined to one.1% between 2015 and 2020 and is projected to say no further within the twenty-first century. the worldwide population continues to increase, however, there's sizable uncertainty approximately its long-term trajectory due to converting fertility and mortality fees. The UN Department of Economics and Social Affairs tasks between 9 and 10 billion people by 2050 and offers an 80% self-assurance c language of 10–12 billion by using the cease of the twenty-first century, with a growth charge by using then of zero. other demographers are expecting that the human populace will start to decline in the 2d half of the 21st century.
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what are the degrees of freedom used to test the significance of the slope in a simple linear regression equation? multiple choice n − 1 n − 2 n − 1, n − 2 (n − 1)(n − 2)
The degrees of freedom used to test the significance of the slope in a simple linear regression equation is n-2.
The maximum number of logically independent, or potentially different, values in the sample of data is referred to as the degree of freedom.
The degree of freedom is a fundamental concept that can be found throughout statistics in a variety of contexts, such as with hypothesis tests, probability distributions, and linear regression.
The degrees of freedom are n−k, however, in simple linear regression you estimate both a y-intercept and a slope, so k=2. Even though we generally don't worry about testing the intercept, it still uses up a degree of freedom, the slope would be very different and have a very different interpretation if we did not estimate an intercept along with the slope.
When we put the value of k=2 we get degrees of freedom are n-2.
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One measure of an angle in a triangle is 96°. The other two angle measures are represented by 2x and x + 12. Determine the other two degree measures for the missing angles
Answer:
Step-by-step explanation:
Measure of one angle= 96
one angle= 2x
other angle= x + 12
By using angle sum property, we know that sum of all angles in a triangle is 180 degree.
so,
96 + 2x + x+12 = 180
108 + 3x = 180
3x = 180 - 108
3x = 72
x = 72/3
x = 24
So,
one angle (2x) = 2 * 24
= 48
other angle ( x + 12 ) = 24 + 12
= 36
Hence, the other two degree measures for the missing angles is [tex]36[/tex].
What is the angles?
Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint.
The point at which the two rays meet (intersect) is called the vertex.
Here given that,
One measure of an angle in a triangle is [tex]96[/tex] degree. The other two angle measures are represented by [tex]2x[/tex] and [tex]x + 12[/tex].
So,
Measurement of one angle= [tex]96[/tex] degree
One angle= [tex]2x[/tex]
Other angle= [tex]x + 12[/tex]
As we know that sum of all angles in a triangle is [tex]180[/tex] degree.
So,
[tex]96 + 2x + x+12 = 180\\\\108 + 3x = 180\\\\3x = 180 - 108\\\\3x = 72\\\\x = \frac{72}{3}\\\\x = 24\\\\[/tex]
So,
One angle is
[tex](2x) = 2 (24)\\=48[/tex]
Other angle is ( x + 12 ) = 24 + 12
[tex]( x + 12 ) = 24 + 12\\=36[/tex]
Hence, the other two degree measures for the missing angles is [tex]36[/tex].
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A rectangular box has a square base. Its height is half the width of the base. Find a function that models its volume v in terms of its width w.
The function that models the volume of a rectangular box in terms of width is (lw²)/2.
What is the volume of rectangle-based solids?The basic formula for volume is length×width, whereas the basic formula for area of a rectangular shape is length×width×height.
Given: The base of a rectangular box is square. Half of the base's width is its height.
Let,
length = w (since it has a square base)
width = w
height = w/2
Volume of a rectangular box = length×width×height
V = w×w×(w/2)
V = (lw²)/2
Therefore, the function that models the volume of a rectangular box in terms of width is (lw²)/2.
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9. a baseball team has a total of 18 pitchers. the ratio of right-hand pitcher to total number of pitchers is 5:6. how many left-hand pitchers does the team have?
The number of Left Hand pitchers that the team have is 3 .
In the question ,
it is given that ,
the total number of pitchers in the baseball team is = 18
and the ratio of right hand to total pitchers is = 5 : 6
we have to find the number of left hand pitchers that the base ball team have .
From the ratio, the total number of pitchers is = 6x ,
and number of right hand pitchers = 5x ,
So , the number of left hand pitchers = x ,
that means , 6x = 18
Simplifying further ,
we get ,
x = 3,
Therefore , there are 3 left hand pitchers .
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scout troop 456 has 24 members. the scoutmaster appoints a 5-member campout crew composed of a leader, a cook, and a cleanup crew (3 scouts). how many different campout crews are possible?
As per the combination method, there are 42504 different campout crews are possible.
Combination method:
In math, combination method means a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given,
Scout troop 456 has 24 members. the scoutmaster appoints a 5-member campout crew composed of a leader, a cook, and a cleanup crew (3 scouts).
Here we need to find the number of different campout crews are possible.
According to the nCr formula, here the value of
n = 24
And the value of r = 5
Then the number of possible combinations are calculated as,
=> ²⁴C₅ = 24!/5!(24 - 5)!
=> ²⁴C₅ = 24!/5!19!
=> ²⁴C₅ = 42504
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Can someone help me? (again and it wont be the last)
Answer: sure I just need to know what you need help with to help you
Step-by-step explanation:
i dont know what im doing please help
Answer:
x = 62°
Step-by-step explanation:
You want the base angle in an isosceles triangle with a vertex angle of 56°.
Isosceles triangle
The sides of any triangle are proportional to the sine of the opposite angle. When two sides have the same measure, their opposite angles will have the same measure. Since the sum of angles in a triangle is always 180*, this means ...
56° +x° +x° = 180°
2x = 124° . . . . . . . . . . subtract 56°
x = 62° . . . . . . . . . . divide by 2
The measure of the angle marked x is 62°.
__
Additional comment
The sides are all specified. This means you can find the angles of the triangle by solving it based on the side lengths. If you do that, you find that x ≈ 61.641°, as shown in the first attachment. This rounds to 62°.
As you can see in the second attachment, a better length for the side opposite the 56° angle would be 5.6 units instead of 5.7.
In short, the answer you get depends on how you use the given information.
<95141404393>
Please help with this!
Answer:
∠KIH ≅ ∠IKJ---------------------------------
We can see three marked angles in the diagram.
One of them marked with the small square, it means this is a right angle.
The other two are marked with 3 small parallel curves, it means they are congruent:
∠KIH ≅ ∠IKJ,You can name them differently but it doesn't change angles:
∠HIK ≅ ∠JKI.PLEASE HELP!!
GIVE A LOT OF POINTS IF HELP!!!!!
CAULATE IT PLEASEEEEEEEEEEEEEEEEEEE!!!!!!!!! GIVE BRAINLISTT!!
HELP CUALATE THE SQUARE ROOT
Answer: There are no values that make the equation true . No solution
if the radius of a circle is 8 inches. What is the circle's area?
The circle's area is 200.96 square inches.
What is the area?
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.
Any round form without edges or line segments is called a circle. In geometry, it has the shape of a closed curve.
radius, r = 8 inches
Area of a circle:
A = π r²
= 3.14 * 8²
= 200.96 square inches
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1/4 t + 4 = 3/4 (t + 8)
Answer: T= -4
Step-by-step explanation: Well i guess it would be that ? If it's not sorry but it should be that
2. Theodore is writing the program for a video game. For one part of the game, he uses the rule (x, y) à (x + 4, y – 2) to move points on the screen. (a) What output does the rule give when the input is (7, -7)? Show your work. (b) What output does the rule give when the input is (-2, 0)? Show your work. (c) Is the rule a function? Explain why it is or why it is not.
Answer:
Step-by-step explanation: