Circle Q has a diameter AB. If the distinct point C is also on the circle then triangle ABC must be
Answers
If point C is on the circle with diameter AB, then triangle ABC must be a right triangle. This is because the diameter of a circle is the longest chord and it passes through the center of the circle.
If we draw a line from point C to the center of the circle (which is the midpoint of AB), we get a perpendicular bisector of AB, meaning that it cuts AB into two equal parts and forms right angles with it. This also means that AC and BC are equal in length (since they both form radii of the circle), and the angle at point C must be a right angle (since it forms a straight line with the center of the circle). Thus, triangle ABC satisfies the criteria for a right triangle.
In summary, if point C lies on the circle with diameter AB, then triangle ABC must be a right triangle with AC and BC as its legs and AB as its hypotenuse. This is a fundamental property of circles and right triangles, and it is important to understand in order to solve various geometry problems involving circles and triangles.
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Related Questions
ANOVA
printers (significance level=0.05). [30\%] (c) State two assumptions that are necessary in order for the above ANOVA to be valid. \( [20 \%] \) (d) The company uses leaflets that are of four different
Answers
(c) Two assumptions necessary for the validity of the ANOVA are:
1. Independence: The observations within each group and between groups should be independent of each other. This means that the value of one observation should not be influenced by or related to the value of another observation.
2. Homogeneity of variances: The variances within each group should be roughly equal. This assumption, also known as homoscedasticity, ensures that the variability in the dependent variable is similar across all groups.
(d) The company uses leaflets of four different designs to promote its printers. To assess the impact of leaflet design on sales, an ANOVA is performed. The null hypothesis states that the mean sales are equal across all leaflet designs, while the alternative hypothesis suggests at least one mean is different.
By comparing the computed F-statistic with the critical F-value at a significance level of 0.05, the ANOVA determines whether there is sufficient evidence to reject the null hypothesis. If the p-value is less than 0.05, it indicates a significant difference among the leaflet designs.
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Exponents and Exponential Functions Unit Test
someone PLEASE oh PLEEEEEAAAASSSSEEEEE explain to me all of the answers cuz i just can't think straight, plus, mathematics are literally making mah brain go "FLOP"
HMMMM -(10)^-1
A. -1/10
B. -1/-1^10
C. 1/10
D. 10
(-7.4)^0
A. -1
B. -7.4
C. 0
D. 1
-1/a^-2
A. -a2
B. -2/a
C. -2a
D. a^2
5^4 x 5^7
A. 125^11
B. 15^11
C. 5^28
D. 5^11
Simplify this expression:
(3)^10 (3)^-9
A. 3
B. 1/3
C. 9^-90
D. 9
(t^8)^2
A. 2t^16
B. t^10
C. t^16
D. t^64
(5t^3)^-4
A. 625/t^12
B. 20/t^7
C. 1/625t^12
D. 1/20t^7
(ok i'm sorry if i don't write the rest of the questions/options, it's just my back is hurting from leaning to long and my fingers hurt for typing to long and my brain is burning up because of how many numbers and letters there are in this test......)
(IF YOU KNOW THE REST OF THE QUESTIONS AND OPTIONS PLEASE WRITE IT ALONG IN YOUR ANSWER!!! I NEED IT ASAP OR ELSE I'M GETTING AN F- IN MY GRADE ._.)
Answers
Answer:
1:B
2:A
3:A
4:D
5:C
6:D
7:A
Step-by-step explanation:
Jackson is trying to find the density, in g/cm³, of a block of wood. The block of wood is in the shape of a cuboid. He measures the length as 13.2 cm, correct to the nearest mm the width as 16.0 cm, correct to the nearest mm the height as 21.7 cm, correct to the nearest mm He measures the mass as 1970 g, correct to the nearest 5 g. By considering bounds, work out the density of the wood. Give your answer to a suitable degree of accuracy.
Answers
Answer:is tht suga
Step-by-step explanation:
PLEASE BELP ASAP
Find the area of the shape
below.
9 cm
11 cm
6 cm
15 cm
Answers
Answer:
105 cm squared
Step-by-step explanation:
15×6 to get the rectangle =90
then we have a triangle left so you do 15- 9 for the base =6 and multiply that by hight (6×5=30) and since it's a triangle and not a square we have to divide that answer by 2 and we get 15. Add those together, we get 105. Hope that helped!
The area of the shape below is 105 cm².
What is the area of a Rectangle?The area of a rectangle is calculated by multiplying the length and width of the rectangle.
What is the area of a Triangle?
The area of a triangle is equal to half of the product of the triangle's base and height.
How to solve the problem?Cut the shape given into a triangle and a rectangle as given in the following figure. Then the area of the shape is the sum of the area of the triangle and the area of the rectangle. In the shape, we can clearly specify that the base of the triangle is (15-9) cm=6cm and the height is
(11-6)cm=5cm.
Thus,
The area of the rectangle in the figure is (6×15) cm²=90 cm², and
the area of the triangle in the figure is (1/2)(6×5) cm²=15 cm².
Hence, the area of the shape is 90+15 cm² = 105 cm².
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what fraction is equivalent to 4 12?
Answers
Answer:
1/3
Step-by-step explanation:
1/3, 2/6, 3/9, 4/12.
are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number.
The given fraction 4/12 is equivalent to 1/3 which means that both fractions represent the same value.
To find a fraction equivalent to 4/12, we need to simplify it by reducing the numerator and denominator to their lowest terms.
In this case, the GCD of 4 and 12 is 4. When we divide both the numerator and denominator by 4, we get:
4/12 = (4 ÷ 4) / (12 ÷ 4)
= 1/3
Therefore, 4/12 is equivalent to 1/3.
This means that both fractions represent the same value, but the fraction 1/3 is in its simplest form, where the numerator and denominator have no common factors other than 1.
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The correct question is as follows:
What fraction is equivalent to 4/12?
A building contractor needs 500 sheets of drywall. Which is the most cost-effective way to buy them?
50 sheets at a time for $600
100 sheets at a time for $800
250 sheets at a time for $2,500
500 sheets at a time for $4,500
Answers
Answer:
The answer is B
Step-by-step explanation:
IF YOU ACUALLY DO THE MATH.....
100 x 5= 5000 so 800 times 5 is 4000.
4000 is less than 4500 so b is for a better price.
DO NOT LISTEN TO THE PERSON ABOVE ME PLEASE!!!! HE IS WRONG. 4500 IS WAY MORE THAN 4000. PLZ GIV BRAINLIEST TOO.:DAnswer:
A-50 sheets at a time for $600 =6000
Step-by-step explanation:
b 100 sheets at a time for $800=4000
c 250 sheets at a time for $2,500=5000
d 500 sheets at a time for $4,500=4500
Which is higher well A
Evaluate the algebraic expression:48/2h + 32/g = when f = 6, g = 8, h = 12 and j = 2.
Answers
Let's evaluate the following equation:
\(\text{ }\frac{48}{2h}\text{ + }\frac{32}{g}\)Given:
f = 6
g = 8
h = 12
j = 2
We get,
\(\text{ }\frac{48}{2h}\text{ + }\frac{32}{g}\)\(\text{ }\frac{48}{2(12)}\text{ + }\frac{32}{(8)}\)\(\text{ }\frac{48}{24}\text{ + }\frac{32}{8}\)\(\text{ }2\text{ + }4\)\(\text{ = 6}\)Therefore, the answer is letter C - 6.
In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=6.00, b=7.56, y = 54°
Answers
Answer:
c=6.31, a=50.28 degrees, B=75.72 degrees
Step-by-step explanation:
The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. The remaining parts of the triangle can be found as shown.
What is Sine rule?The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
\(\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ B}{\beta} =\dfrac{Sin\ C}{\gamma}\)
where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
Given that the length of side a and b is 6 and 7.56, also, the measure of the angle γ is 54°.
Now, Using the law of cosine, we can write,
\(c =\sqrt{a^2 + b^2 -2ab\cdot \cos\gamma}\)
\(c =\sqrt{(6)^2 + (7.56)^2 -2(6)(7.56)\cdot \cos(54^o)}\)
c = √39.8297
c = 6.311
Now, using the sine law the ratio of the sides and angles can be written as,
\(\dfrac{\sin\alpha}{a} =\dfrac{\sin\beta}{b} =\dfrac{\sin\gamma}{c}\)
\(\dfrac{\sin\alpha}{6} =\dfrac{\sin\beta}{7.56} =\dfrac{\sin (54^o)}{6.311}\)
\(\dfrac{\sin\alpha}{6}=\dfrac{\sin (54^o)}{6.311}\)
α = 50.2775°
\(\dfrac{\sin\beta}{7.56} =\dfrac{\sin (54^o)}{6.311}\)
β = 75.726°
Hence, the remaining parts of the triangle can be found as shown.
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Let P,Q, and R be logical statements. Consider the following compound statement: (P∨Q)⟹(Q⟹R) Select each of the following statements which are logically equivalent to this statement. ((P∨Q)=>R)∨∼Q
(P∨Q)=>(R ∧
Q)
Answers
The statement that is logically equivalent to (P∨Q)⟹(Q⟹R) is ((P∨Q)=>R)∨∼Q.
To determine which statements are logically equivalent to (P∨Q)⟹(Q⟹R), let's break down the original statement and analyze its components:
(P∨Q)⟹(Q⟹R)
The implication (⟹) indicates that the truth of the left-hand side (P∨Q) determines the truth of the right-hand side (Q⟹R). We can evaluate the truth values of the components and compare them to the given options:
Option 1: ((P∨Q)=>R)∨∼Q
This option involves two main components: ((P∨Q)=>R) and ∼Q. Let's evaluate each part separately:
a) (P∨Q)=>R:
This component states that if P∨Q is true, then R must also be true. It captures the implication between P∨Q and R.
b) ∼Q:
This component represents the negation of Q, indicating that Q is false.
Comparing this option to the original statement, we can see that ((P∨Q)=>R) captures the implication (⟹) between P∨Q and R, which is present in the original statement. Additionally, the ∼Q component captures the negation of Q, also present in the original statement. Therefore, this option is logically equivalent to the original statement.
Option 2: (P∨Q)=>(R∧Q)
This option involves two main components: (P∨Q) and (R∧Q). Let's evaluate each part separately:
a) P∨Q:
This component represents the logical OR between P and Q, indicating that at least one of them is true.
b) R∧Q:
This component represents the logical AND between R and Q, indicating that both R and Q must be true.
Comparing this option to the original statement, we can see that (P∨Q) captures the condition of having at least one of P or Q true, but (R∧Q) requires both R and Q to be true simultaneously. This differs from the original statement, where only the majority of P, Q, and R needs to be true. Therefore, this option is not logically equivalent to the original statement.
In conclusion, the statement ((P∨Q)=>R)∨∼Q is logically equivalent to (P∨Q)⟹(Q⟹R), as it captures the same logical relationship between the components P, Q, and R.
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PLEASE HELPPP!!! I will give brainly points
Answers
Answer:
should be a. took the test and It was horrible. I remember trying and forgot how to do everything beother
Step-by-step explanation:
no balls
1 ≥ x - 9
Find out what x means.
Answers
Suppose you are about to begin a game of Fibonacci nim. You start with 500 sticks. What is your first move? Why?
Answers
So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.
The first few numbers in the Fibonacci sequence are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. To determine the number of sticks a player can remove, they look at the previous two numbers in the sequence and add them together. For example, if the previous two numbers were 3 and 5, the player could remove 8 sticks.
To start, we need to find the largest number in the Fibonacci sequence that is less than or equal to 500. Looking at the sequence, we see that 21 is the largest number that fits this criteria. Therefore, on your first move, you can remove up to 21 sticks from the pile.
But should you remove all 21 sticks? Not necessarily. In Fibonacci nim, it is often advantageous to leave your opponent with a certain number of sticks that will force them to make a move that is disadvantageous. One such number is 4. If you can leave your opponent with 4 sticks, they will be forced to remove all 4 and you willbe left with a favorable position.
So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.
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what is 59 estimted by 65
Answers
59 estimated by 65 would be 60.
How to estimate a number by another number ?To estimate a number by another number means to find a value that is close to the original number but is easier to work with or understand. Estimation is a method of making quick calculations or approximations, often without the use of a calculator or other precise tool.
To estimate 59 by 65, you can use rounding to the nearest ten. To do this, round both 59 and 65 to the nearest ten, which is 60. Therefore, 59 estimated by 65 is 60.
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Can anyone help me with this
Answers
Answer:the 3rd one
Step-by-step explanation:
Evaluate each expression.
7) (-7) + (-10) – 5 +2 8) (-9) + 4 + (-8) – (-7)
8) (-6) – (2 x 4) – (-1) 10) (-8) + (-4 ÷ -4) – 8
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Solving the expressions
7)
given the expression
\(\left(-7\right)+\:\left(-10\right)\:-\:5\:+2\)
\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)\(\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\)\(\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a\)so
\(=\left(-7\right)-10-5+2\)
\(=-17-5+2\)
\(=-22+2\)
\(=-20\)
8)
\(\left(-9\right)+4+\left(-8\right)-\left(-7\right)\)
\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)\(\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\)\(\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a\)so
\(=-5+\left(-8\right)-\left(-7\right)\)
\(=-5-8-\left(-7\right)\)
\(=-13-\left(-7\right)\)
\(=-13+7\)
\(=-6\)
9)
\(\left(-6\right)\:-\:\left(2\:\times \:4\right)\:-\:\left(-1\right)\:\)
\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)\(\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\)so
\(\left(-6\right)-\left(2\times \:4\right)-\left(-1\right)\)
Calculate within parentheses
\(=\left(-6\right)-8-\left(-1\right)\)
\(=-14-\left(-1\right)\)
\(=-14+1\)
\(=-13\)
10)
\(\left(-8\right)\:+\:\left(-4\:\div \:-4\right)\:-\:8\)
solving
\(\left(-8\right)+\left(-\frac{4}{-4}\right)-8\)
\(\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\)
\(=-8-\frac{4}{-4}-8\)
\(=-8-\left(-1\right)-8\)
\(\mathrm{Apply\:rule}\:-\left(-a\right)=a\)
\(=-8+1-8\)
\(\mathrm{Add/Subtract\:the\:numbers:}\:-8+1-8=-15\)
\(=-15\)
The value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.
What is BODMAS rule?BODMAS stands for B- bracket, O- order, D-division, M-multiplication, A- addition, S- subtraction. We use this rule when there is more than one operation are present in the mathematical expression.
7) (-7) + (-10) – 5 +2
here, we will use the BODMAS rule, the addition and subtraction will go from left to right.
= -7 -10 -5 + 2
= -17 -5 + 2
= -22 + 2
= -20
8) (-9) + 4 + (-8) – (-7)
= -9 +4 -8 +7
= -5 -8 +7
= -13 + 7
= -6
9) (-6) – (2 x 4) – (-1)
= -6 - 8 +1
= -12 + 1
= -11
10) (-8) + (-4 ÷ -4) – 8
= -8 -4/ (-4) - 8
= -8 +1 -8
= -7 -8
= -15
Therefore, the value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.
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c) passing through the points (4, -5) and (-2, 9).
Answers
Answer:
Step-by-step explanation:
you can use slope intercept form y=mx+b
To create a regression model and be able to optimize it, it is much better that all factors are on a scale
Select one:
a. Categorical
b. Discreet
c. Keep going
d. Binary
Answers
The correct option is c.Keep going.
Create a regression model and be able to optimize it, it is much better that all factors are on a scale. The answer is option c.Keep going.Regression analysis is an important statistical method that is commonly used in finance and other fields for prediction purposes. It is useful for finding the relationships between one dependent variable and one or more independent variables. In order to create an efficient regression model, the variables should be measured on a scale. Therefore, it is important to measure variables on a scale, as this makes it easier to create a regression model. If variables are categorical or binary, it becomes difficult to measure their relationship with the dependent variable using regression models as they are not measurable on a scale. This is why it is much better that all factors are on a scale while creating a regression model and optimizing it. Thus, the correct option is c.Keep going.
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Which is a disadvantage of using credit?
OA.
You make fewer purchases.
B.
You can build your credit history.
O c.
You pay more because of fees.
R
Answers
Answer:
B, You can build your credit history
Step-by-step explanation:
A randomly selected sample of 100 horse owners found that 72 of them feed grass hay in the morning and alfalfa in the evening to their horses . The value 0.72 represents a . the probability that a randomly selected horse owner will feed grass hay in the A.M.and alfalfa in the P.M. b . the proportion of horse owners in the sample that feed grass hay in the a.m. and alfalfa in the p.m. c . the probability that a horse will be fed grass hay in the A.M.and alfalfa in the P.M. d . All of the choices are correct .
Answers
Answer: A. the probability that a randomly selected horse owner will feed grass hay in the A.M.and alfalfa in the P.M.
Sum of today's ages of Pradnya and her son is 54 years. Pradnya was 30 years old at the time of birth of her son. Find today's ages of both.
Answers
Answer:
54 is the answer of pradnya age
a. There are symmetric matrices that are not orthogonally diagonalizable. PDP where and D is a diagonal matrix, then B is a symmetric matrix. c. An orthogonal matrix is orthogonally diagonalizable. d. The dimension of an eigenspace of a symmetric matrix is sometimes less than the multiplicity of the corresponding eigenvalue.
Answers
a. There are symmetric matrices that are not orthogonally diagonalizable: This statement is true. While every symmetric matrix is diagonalizable, it may not always be orthogonally diagonalizable. Orthogonal diagonalizability requires the eigenvectors corresponding to distinct eigenvalues to be orthogonal. However, there are cases where eigenvectors corresponding to the same eigenvalue are not orthogonal, making the matrix not orthogonally diagonalizable.
c. An orthogonal matrix is orthogonally diagonalizable: This statement is true. An orthogonal matrix is defined as a square matrix where its columns (or rows) form an orthonormal basis. Orthogonal matrices are always diagonalizable, and moreover, they can be orthogonally diagonalized, meaning the diagonalization can be done using an orthogonal matrix as the diagonalizing matrix.
d. The dimension of an eigenspace of a symmetric matrix is sometimes less than the multiplicity of the corresponding eigenvalue: This statement is false. For a symmetric matrix, the dimension of the eigenspace corresponding to an eigenvalue is always equal to the multiplicity of that eigenvalue. This is a consequence of the Spectral Theorem for symmetric matrices, which guarantees that the eigenspaces of a symmetric matrix are mutually orthogonal and span the entire space.
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Can someone help me cuz i need help
Answers
Answer:
f
klllllllllk
Step-by-step explanation:
———————————
some body have asked this question I have forgotten the name the question is: the circumference of a circle is 36π cm what is the radius of a circle if any body finds it then please answer him or her
The formula for the area of a circle is given by A = πr², where r is the radius of the circle.
Since we know that area A = 36π, we can substitute into the formula for area A and get:
36π= πr²
Now, dividing both sides by π in order to begin isolating r on one side of the equation, we get:
(36π)/π = (πr²)/π
36(π/π) = (π/π)r²
36(1) = (1)r²
36 = r²
r² = 36 (since equality is symmetric, i.e., if a = b, than b =a)
Now, taking the square root of both sides, we have:
√(r²) = ±√(36)
r = √(36) (since a distance cannot be physically negative, then we have to use the positive square root)
r = 6 (since (6)(6) = 36)
CHECK:
A = 36π
36π= π(6²)
36π = π(36)
36π = 36π
Therefore, r = 6 is indeed the radius of the circle with an area of 36π.
Answers
Answer:
The radius of the circle is 6.
Explanation:
Take the square root of 36.
Point DD is located at (2,1)(2,1) on the coordinate plane. Point DD is reflected over the yy-axis to create point D'D ′ . Point D'D ′ is then reflected over the xx-axis to create point D''D ′′ . What ordered pair describes the location of D''?D ′′ ?
Answers
Answer: (-2,-1)
Step-by-step explanation: First, plot the point. Then you go to the left 4 times. Then you plot your new point. Then go down 2 times. Plot your final point.
The side lengths of a triangle are 15 units, 47 units and $\dfrac{x}{2}$ units. How many integer values of $x$ are possible
Answers
There can be an infinite number of integer values of x possible.
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side for it to be a valid triangle. So, for a triangle with side lengths 15, 47 and \($\dfrac{x}{2}$\) the condition for the triangle to be valid is:
15 + 47 >\($\dfrac{x}{2}$\)
30 > \($\dfrac{x}{2}$\)
2\times30 > x
x > 60
Since xmust be an integer, the possible values of x are any integer greater than 60. Thus, there can be an infinite number of integer values of x possible.
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Factorise fully 9x^2-9
Answers
Answer:
180
Step-by-step explanation:
if its assumptions are met, the analysis of variance technique is appropriate when ____.
Answers
Answer:
comparing the means of three or more groups
Step-by-step explanation:
Similarly, converting between units can be very important, and it can be done by canceling units. For example, suppose that I want to convert 66 feet/second into miles per hour. If I know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour, then I can convert the quantity by multiplying it by those conversion factors in such a way that they cancel: ( 1 s
66ft )( 1 min60 s )( 1hr 60 min )( 5280ft1 mile )=45mile/hr I can do this because each conversion factor is equal to one, and multiplying by one does not change anything. Notice that if you cancel all the units that you can, you are left with the desired units. The numbers are evaluated with normal arithmetic. Cglints = 1 filn 4 ZCOS=1 strord Now you try, except I'm going to make up some fictional units for you to work with: There are 12 grees in a zool. There are 2 grees in 10 twibbs. There are 5 grees in a blob. There are 6 glints in a filn. There are 4 zools in a strord. 12 grees =1 ZOO 2 grees =10 twibs 5 grees =1 bic (a) Convert the quantity 7 glint/twibb (i.e., 7 glints-per-twibb) into filn/strord (i.e., filns-per-strord). As always, show your work. (b) Often we use prefixes for scientific units. For example, there are one-hundred centimeters in a meter. Similarly, the prefix kilo- means a factor of 10
3. For example, a kilometer is 10 3 meters or 1000 meters. If you need to review these prefixes, there is a handy chart on Wikipedia: ht tpa://en.wikipedia.org/wiki/Metric_prefix. Convert your answer from part (a) into megafiln/strord (i.e., megafilns-per-strord). (Hint: Check your answer for plausibility. Should the number of megafilns-per-strord be bigger or smaller than the number of filns-per-strord? If someone is going 1 foot-per-hour, are they going a larger number of feet-per-hour or a larger number of miles-per-hour?)
Answers
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.
(a) The given units can be converted as follows: 6 glints = 1 filn...
(1)12 grees = 1 zool...
(2)2 grees = 10 twibbs...
(3)5 grees = 1 bic...
(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:
7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord
(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.
1 mega = 106
Thus 1 megafiln = 106 filn
16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.
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there were 425 guests at a hotel. 170 guests ordered food. what percentage of the guests ordered food?
Answers
Answer:
255
Step-by-step explanation:
If 422 guests were at a hotel and 170 ordered food, The percentage of food would clearly be 255.
A drawer contains black socks and white socks. 70% of the socks are black socks. A
number generator simulates randomly selecting 10 socks from the drawer. The
number generator is used 10 times and the number of black socks in each trial is
shown in the dot plot.
0 1 2 3 4 5 6 7 8 9 10
Which description is correct about the number generator being fair or not?
The number generator is not fair.
The correct percentage of black socks was not
chosen at all.
The number generator is fair. It picked the approximate percentage of black
socks most of the time.
The number generator is not fair. In three experiments, it picked black socks less
than 50% of the time.
The number generator is fair. It only picked black socks half of the time.
Answers
Answer:
Based on the given information, it is not possible to definitively determine whether the number generator is fair or not. However, we can make some observations and inferences:
We know that 70% of the socks in the drawer are black, which means that in a random selection of 10 socks, we would expect to see around 7 black socks on average.
The dot plot shows the number of black socks in 10 trials of the number generator. We can see that the number of black socks varies from 0 to 10, with some frequencies being higher than others.
Without knowing the exact frequencies or probabilities, we can see that the dot plot does not appear to be centered around 7 black socks, which is what we would expect from a fair number generator. However, it is difficult to determine whether the deviations from 7 are statistically significant or not, without more information.
Therefore, based on the given information, the most accurate statement is:
The number generator's fairness cannot be determined with certainty from the given data, but there are indications that it may not be perfectly fair.
Step-by-step explanation: