Answer:
1/2
Step-by-step explanation:
3/4 of 2/3 = 3/4 × 2/3 = 6/12 = 1/2
help, try showing the work to please
Answer:
explanation
Step-by-step explanation:
4. 12 * b * 0 = 0
Anything multiplied by 0 is 0
5. 1 * m * 24 = 24m
24 * 1 = 24
24 * m = 24m
6. (t + 15) + 0 = t + 15
You can't add variables with constants.
What is an example of SAS triangle?
An example of a SAS triangle is a right triangle with sides of 3, 4, and 5 units. The angles of the triangle are 90°, 45°, and 45°.
What is an example of SAS triangle?A SAS triangle is a right triangle with three sides of varying lengths that add up to 180°. In the case of a SAS triangle with sides of 3, 4, and 5 units, the angles are 90°, 45°, and 45°, respectively. This triangle is an example of a SAS triangle because the sum of the angles is 180° and two of the angles are equal to each other. Additionally, the longest side of the triangle is opposite the angle of 90°.
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What will be the result of substituting 2 for x in both expressions below?
+4
x+6-x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
O One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Equivalent Algebraic expressions:Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expressionns.
Given the algebraic expressions,
\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)
Substituting 2 for x in the first expression gives:
(1/2 × 2) + 4
1 + 4
5
Substituting 2 for x in the second expression gives:
2 + 6 - (1/2 ×2) - 2
8 - 1 - 2
8 - 3
5
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
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A newspaper editor wants to investigate whether the residents of two
counties support the proposal to build a wind farm. She plans to take an
SRS of 30 residents from the southern county and 40 residents from the
northern county, then look at the difference (southern - northern)
between the proportions of residents that support the proposal in each
sample. Suppose that 65% of the residents of the southern county and
52% of the residents of the northern county approve.
What are the mean and standard deviation of the sampling distribution of
the difference in sample proportions?
The mean of the sampling distribution of the difference in sample proportion is 0.13
The SD is given as 0.13 and option D is correct.
What is Standard Deviation?Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It is a widely used statistic in probability and statistics that helps to quantify the average distance of individual data points from the mean (average) of the data set.
A small standard deviation indicates that the data points are closely clustered around the mean, while a large standard deviation implies that the data points are more spread out.
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If n is a positive integer divisible by 3 and n is less than or = 44, then what is the highest possible value of n?
Answer:
o dont know
Step-by-step explanation:
In a small city, approximately 14% of those eligible are called for jury duty in any one calendar year. People are selected for jury duty at random from those eligible, and the same individual cannot be called more than once in the same year. (a) What is the probability that a particular eligible person in this city is selected in both of the next 2 years? (Enter your answer to four decimal places.) (b) What is the probability that a particular eligible person in this city is selected in all three of the next 3 years? (Enter your answer to six decimal places.)
Answer:
a
\(P(E \ n\ Z) = 0.0196\)
b
\(P(E \ n\ Z \ n \ Y) = 0.0027\)
Step-by-step explanation:
From the question we are told that
The probability of that a person is being called for jury duty in any given year is \(P(J) = 0.14\)
Let P(E) be the probability a person being selected in the first year, Let P(Z) be the probability a person being selected in the second year
and Let P(Y) be the probability a person being selected in the third year
Generally the probability that a particular eligible person in this city is selected in both of the next 2 years is mathematically represented as
\(P(E \ n\ Z) = P(E) * P(Z) = P(J)^2\)
=> \(P(E \ n\ Z) = 0.14^2\)
=> \(P(E \ n\ Z) = 0.0196\)
Generally the probability that a particular eligible person in this city is selected in both of the next 3 years is mathematically represented as
\(P(E \ n\ Z \ n \ Y) = P(E) * P(Z) * P(Y) = P(J)^3\)
=> \(P(E \ n\ Z \ n \ Y) = 0.14^3\)
=> \(P(E \ n\ Z \ n \ Y) = 0.0027\)
This multiplication of each probabilities is valid because each probability is independent of one another
16
Select the correct answer.
Which of the following graphs shows the solution set for the inequality below?
Ix+21+7>10
OA HH
OB. H
5
1 0 1 2 3
0 1
2 3 4
10
5 6
The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.
Option D is the correct answer.
We have,
We need to isolate the absolute value |x + 2| on one side of the inequality.
We subtract 7 from both sides.
|x + 2| > 3
Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:
x + 2 > 3
or
- (x + 2) > 3
Solving for x in the first inequality.
x > 1
Solving for x in the second inequality.
-x - 2 > 3
Adding 2 to both sides and multiplying by -1.
x < -5
So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.
Using interval notation.
(-∞, -5) U (1, ∞)
Thus,
The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.
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Corresponding Angles are congruent. Which angle corresponds with 3? 1/2 3/4 fine 7/8 5 6 [?]
Answer:
5, 8 and 2
Because it has the same angel as 3 there for it's 5 , 8 and 2
What is the value of p in the equation y^2= –12x
Answer:
p = -3
Explanation:
The equation of the parabola is:
\(y^2=-12x\)We will calculate for ''p'' as shown below:
\(\begin{gathered} y^2=-12x \\ \text{Rewriting the equation in vertex form, we have:} \\ x=-\frac{y^2}{12} \\ We\text{ will use vertex form to determine the values of: }a,h,k \\ x=a(y-k)^2+h \\ \Rightarrow a=-\frac{1}{12} \\ \Rightarrow k=0 \\ \Rightarrow h=0 \\ Since\text{ }the\text{ value of ''a'' is negative, the parabola opens left} \\ (h,k)=(0,0) \\ We\text{ will find }^{\doubleprime}p^{\doubleprime}\text{ using the formula given below:} \\ p=\frac{1}{4a} \\ p=\frac{1}{4(-\frac{1}{12})} \\ p=\frac{1}{-\frac{1}{3}} \\ p=-3 \\ \\ \therefore p=-3 \end{gathered}\)Therefore, p equals -3
if x=49 and y=160 then what is the value of z?
9514 1404 393
Answer:
z = 62°
Step-by-step explanation:
You know that ...
x = (1/2)(y -z)
So ...
2x = y - z
z = y - 2x = 160 -2(49)
z = 62 . . . . degrees
solve the following equation by completing the square. x^2-8x-2=0
\(x^2 -8x-2=0\\\\x^2 -8x=2\\\\x^2 -8x+16=18\\\\(x-4)^2 =18\\\\x-4=\pm \sqrt{18}\\\\\boxed{x=4 \pm \sqrt{18}}\)
Superior Segway Tours gives sightseeing tours around Chicago, Illinois. It charges a one-time fee of $55, plus $15 per hour. What is the slope of this situation? 10 15 55 70
The linear equation that represents this situation is given by
y=15x+55
therefore
The slope is 15
I’ll give brainliest Write an inequality that represents this situation below.
Your suitcase for vacation will fit at most 11 outfits you already have 5 packed
Answer:
Let x be the number of additional outfits.
5 + x < 11
A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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which expressions are equivalent to 3^4/9/3^2/9? select all that apply
Answer:
first and third expressions
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)
then
\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)
= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression
= \(3^{\frac{2}{9} }\) ← third expression
The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution.
[1 -5 -4
0 0 7]
A. X1 = - 4 + 5x2 X2 is free
B. (-4,7)
C. X1 = - 4 +5x2
X2=7
X3 is free
D. There is no solution.
Answer:
Option D (There is no solution) is the correct answer.
Step-by-step explanation:
According to the question, the matrix is:
⇒ \(\left[\begin{array}{ccc}1&-5&-4\\0&0&7\end{array}\right]\)
The linear equation will be:
⇒ \(x-5y=-4\)
and
⇒ \(0.x+0.y=7\)
i.e,
\(0=7\) (Not possible)
Thus the above given matrix has no solution. So the above is the correct option.
i would like help finding the inverse
The inverse of the given function include the following: A. G⁻¹(x) = (x + 2)/5
What is an inverse function?In Mathematics and Geometry, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).
In this exercise, you are required to determine the inverse of the function f(x). This ultimately implies that, we would have to swap (interchange) both the independent value (x-value) and dependent value (y-value) as follows;
g(x) = y = 5x - 2
x = 5y - 2
5y = x + 2
By dividing all through by 5, we have;
G⁻¹(x) = y⁻¹ = (x + 2)/5
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The area of a triangle is given by A = 1/2bh, where b is the base and h is the height of the triangle
The area of the triangle with base 12 units, and height of 3 units is: B. 18.
How to Determine the Area of a Triangle?To find the area of a triangle, find the height, which is the distance from its base to its highest point, and also find the length of the base of the triangle, then apply the formula below:
Area of triangle = 1/2 × base × height
From the information given, the following are the parameters we will need to work with:
Base of the triangle = QR = 12 units
Height of the triangle = PH = 3 units
Plug in the values
Area of triangle = 1/2 × 12 × 3
Area of triangle = 36/3
Area of triangle = 18 units
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Alicia has had 16 hints 46 at-bats in her softball games. How many consecutive hits does she need to raise
her batting average to 0.400
Answer:
Step-by-step explanation:
She has to raise 289 bats more
What is cos(tan^-1(-2/3))=
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
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What is the absolute value of -7.8
Answer:
| -7.8. | = 7.8
Step-by-step explanation:
The symbol for absolute value is two straight lines surrounding the number or expression for which you wish to indicate absolute value.
What is the difference of the whole number and the mixed number with an improper fraction below? 8 7/4 -7 A. 2 1/2 B. 2 3/4 C. 4 3/4 D. 2 1/4
Answer:
D. 2 1/4
Step-by-step explanation:
8 7/4 - 7
9 3/4 - 7
2 1/4
What is the completely factored form of this polynomial x^4 + 12x^2 + 32
ANSWER
\((x^{2}+4)(x^{2}+8)\)EXPLANATION
We want to completely factor the given polynomial:
\(x^4+12x^2+32\)To do this, we have to find two terms whose product is 32 and whose sum is 12.
The two terms are:
\(x^4+8x^2+4x^2+32\)Now, factor completely:
\(\begin{gathered} x^2(x^2+8)+4(x^2+8) \\ (x^2+4)(x^2+8) \end{gathered}\)That is the answer.
f:0,1 +0,1?. f(x) is obtained by removing the second bit from x and placing the bit at the end of the string. For example, f(101) = 110. Select the correct description of the function f. a. Neither one-to-one nor onto b. One-to-one and onto c. One-to-one but not onto d. Onto but not one-to-one Answer = Submit
Onto but not one-to-one. is f(x) which is obtained by removing the second bit from x and placing the bit at the end of the string.
The function f is said to be "onto" because it maps every element in its codomain (the set of possible output values) to at least one element in its domain (the set of possible input values). In this case, the codomain is the set of all binary strings of length 3, and the domain is the set of all binary strings of length 2. However, the function is not one-to-one, because there are multiple elements in the domain that are mapped to the same element in the codomain. For example, both "10" and "01" are mapped to "100". This means that the function f is not one-to-one, meaning that it doesn't map every element in its domain to a unique element in its codomain. A function is said to be one-to-one if every element in its domain (the set of possible input values) is mapped to a unique element in its codomain (the set of possible output values). In other words, no two elements in the domain have the same image (output) under the function. A function is said to be onto if every element in the codomain is mapped to by at least one element in the domain. In other words, every element in the codomain has at least one pre-image (input) under the function. In the case of the function f described in the previous question, it is onto because every binary string of length 3 can be obtained as the output of the function for some binary string of length 2. However, it is not one-to-one because there are multiple binary strings of length 2 that are mapped to the same binary string of length 3. For example, both "10" and "01" are mapped to "100".
So, the function f is described as "onto but not one-to-one".
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A coffee table is on sale for 20% off the original price of $115. If there is a 6% sales tax, what is the final price of the coffee table?
Answer:
$97.52
Step-by-step explanation:
(original price) 115 - (discount) 23 = 92 (new price)
92 plus 6% sales tax = $97.52 (final price)
Please help me for 15 points
A study was conducted on the educational level of patients with AIDS, it was asume that
with ten years of education will be in group A, between 10 and 20 group B and between 20
group C. After the analysis it was realized that group A had 100 persons while group B and C had 30 persons
(a) If you decide to select based on proportion of 10% from each group how many patien
selected from each group. Show your calculation.
(b) What name can be given to the classified groups?
(c) What method of sampling was employed in the selection process?
1. State and explain the three major data collection techniques.
What is a variable?
What is a Parameter?
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.
(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.
(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.
The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.
The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.
A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
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Never mind i got it!
Answer:
OOk
Step-by-step explanation:
A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
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Which statement is correctly written as a conditional statement?
The number 10 is an even number, or it is a composite number.
If the number 10 is an even number, then it is a composite number.
The number 10 is an even number when it is a composite number.
A number, such as 10, is a composite number because it is even.
The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even. so the correct option is D.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of a/b
where a and b are integers.
Irrational numbers are those real numbers which are not rational numbers.
Here, Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
A composite number is a number divisible by another number than 1 and the number itself.
To find example, a sum of two composite numbers, which is not a composite number, is needed.
The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even.
Hence so the correct option is D.
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