A pharmacy claims that the average medication costs $32 but it could differ as much as $8. Write and solve an absolute value inequality to determine the range of medication costs at this pharmacy.
|x − 32| ≥ 8; The medication costs range from $24 to $40
|x − 32| ≥ 8; The medications cost less than $24 or greater than $40.
|x − 32| ≤ 8; The medication costs range from $24 to $40
|x − 32| ≤8; The medications cost less than $24 or greater than $40.
the answer is C the third one
Following the 1966 supreme court decision in miranda v. arizona, police began informing people placed under arrest that they "have the right to remain silent." what basic freedom is this meant to protect, and how does it affect arrested individuals?
Answer:
The protection against self-incrimination; it informs them that speaking to law enforcement could incriminate them.
Step-by-step explanation:
In the Supreme Court case Miranda v. Arizona, the court examined the rights protected in the
Fifth and Sixth Amendments to the U.S. Constitution. Ernesto Miranda was arrested after a
crime victim identified him in a police lineup. The police officers questioning him did not inform
him of his Fifth Amendment right that prevents government from forcing citizens to give
evidence against themselves. He also was not informed of his Sixth Amendment right to the
assistance of an attorney. In 1966, the Supreme Court agreed to hear the case and ruled in favor
of Miranda. As a result, police officers now read the Miranda warning to suspects before they are
arrested. This helps ensure suspects understand they have the right to not answer questions, or
say anything at all, if they choose. However, if a suspect chooses to speak despite the Miranda
warning, what they say could be used in court. The Miranda warning also explains that suspects
have the right speak to an attorney.
The side length of a cube is square root of three.
Which answer is a rational value?
A) the diagonal of HE top square
B) the total area of the front and bottom square
C) the perimeter of the front and bottom squares
D) the volume
Here are the IQ scores of 10 randomly chosen fifth-grade students: 145,139,126,122,125,13,96,110,118,118. TRUE OR FALSE If the value 96 were removed from the data set, the IQR of the remaining 9 IQ scores would be lower than the IQR of all 10 scores.
False, because the IQR of 9 observations is 17 and the IQR of 10 observations is 13.
The given observations are 145, 139, 126, 122, 125, 113, 96, 110, 118, 118.
What is inter quartile range?The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.
Interquartile range = Upper Quartile - Lower Quartile
Q2=Q3 - Q1
Ascending order of the given observation is
96, 110, 113, 118, 118, 122, 125, 126, 139, 145
Here, Q1 (median of lower quartile) =113 and
Q3 (median of upper quartile) =126
Q2= 126-113
= 13
The value 96 were removed from the data set, so
110, 113, 118, 118, 122, 125, 126, 139, 145
Q1 =(113+118)/2 =115.5
Q3 =(126+139)/2
= 132.5
Q2 =132.5-115.5
= 17
False, because the IQR of 9 observations is 17 and the IQR of 10 observations is 13.
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Which figure shows a reflection of pre-image QRS over the line t?
A.
90° clockwise rotation around point B
B.
180° clockwise rotation around point B
C.
reflection over line a
D.
translation 4 units up
B 6 /5 = 10
a. 44
b. 4
c. 56
d. 8
What is the explicit rule for this geometric sequence?
2, 6, 18, 54, …2, 6, 18, 54, …
an=2⋅3nan=2·3n
an=3⋅2n−1an=3·2n-1
an=2⋅3n−1an=2·3n-1
an=3⋅2n
an=2⋅3n−1 would be the answer
A freight train travels 260 km in the same time a passenger train travels 320 km. If the passenger train averages 15km/hour faster than the freight train, what is the average speed of the freight?
Answer:
13
Step-by-step explanation:
I will fan you if you help!!
name all of the angles that are congruent to <B in the figure below
we know that
m∠C=m∠B ----------> by vertical angles
m∠F=m∠B ----------> by corresponding angles
m∠G=m∠B --------> by alternate exterior angles
therefore
the answer is
Angles C, F and G
Find the value of a in the diagram of the right triangle. Round to the nearest tenth.
the options are
A) 21.6 in.
B) 24.2 in.
C) 5.0 in.
D) 12.3 in.
Answer:
The answer is the option B
[tex]a=24.2\ in[/tex]
Step-by-step explanation:
we know that
In the right triangle of the figure
[tex]sin(27\°)=\frac{11}{a}[/tex]
Solve for a
[tex]a=\frac{11}{sin(27\°)}[/tex]
[tex]a=24.2\ in[/tex]
A drawer contains 8 red shirts, 6 blue shirts, and 7 white shirts. If a shirt is drawn at random, what is the probability that the shirt will be blue?
Answer:
The Probability of drawing shirt is blue is [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
Given : A drawer contains 8 red shirts, 6 blue shirts, and 7 white shirts.
We have to find the probability if a shirt is drawn at random, then the shirt will be blue.
Total number of shirt in drawer = 8 + 6 + 7 = 21
Number of blue shirts = 6
Probability of an event = [tex]\dfrac{\text{number of possible outcomes}}{\text{number of total outcomes}}[/tex]
Event (E) : shirt drawn is blue.
number of possible outcomes = 6
number of total outcomes = 21
Thus, the Probability of drawing shirt is blue is [tex]\frac{6}{21}[/tex]
Simplifying , we get,
The Probability of drawing shirt is blue is [tex]\frac{2}{7}[/tex]
2m²·2m³=?
Simplify.Your answer should contain only positive exponents.
Applying the rule of exponents, 2m² × 2m³ will be simplified as: [tex]4m^5[/tex].
The Product Rule of ExponentsWhen multiplying exponents with the same base, add the exponents.
The rule is: [tex]a^m \times a^n = a^{(m+n)}[/tex].
Given:
2m² × 2m³
Apply the product rule of exponents for multiplication
(2 × 2)(m²+³)
2m² × 2m³ = [tex]4m^5[/tex]
Therefore , applying the product rule of exponents, 2m² × 2m³ will be simplified as: [tex]4m^5[/tex].
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Write 98 as the product of prime factors in ascending order
y =5.5x represents a proportional relationship. What is the constant proportionality?
Answer: 5.5 is the constant proportionality.
Step-by-step explanation:
Since we have given that
y = 5.5x
As we can see that
y is directly proportional to x.
So, mathematically written as
[tex]y\ \alpha\ x\\\\y=kx[/tex]
If we comparing both the expression, we get that
k = 5.5.
Hence, 5.5 is the constant proportionality.
The constant of proportionality of y = 5.5x is 5.5.
A directly proportional relational relationship can be represented below
y ∝ xwhere
∝ = symbol for proportionality
y and x are the variable that are related. Therefore,
y = kx
where
k = constant of proportionality.
The equations y = 5.5x can be modelled as directly proportional relationship using y = kx.
Therefore, k = 5.5 is the constant of proportionality.
The constant of proportionality of y = 5.5x is 5.5.
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A hemispherical dome with radius=20 feet needs 11 coats of paint, which are 1/100 inch thick...need to use linear approximation to get the volume of paint needed for the job.
If F(x)=integral of sqrt(t^3+1) dt from 0 to x, then F'(2)=?
F'(2) = 3
[tex]\int\limits^x_0 {\sqrt{t^3+1}} \, dt[/tex]
Using Fundamental Theorem of Calculus:
Since x = 2, you now have:
[tex]\int\limits^2_0 {\sqrt{t^3+1} } \, dt[/tex]
so F'(x) = [tex]\sqrt{t^3+1}[/tex]
--> F'(2) = [tex]\sqrt{2^3+1}[/tex] = [tex]\sqrt{9}[/tex] = 3
so F'(2) = 3
F'(2) is the square root of [tex](2^3+1)[/tex], which simplifies to 3.
Explanation:If F(x) is defined as the integral of [tex]\sqrt(t^3+1)[/tex] dt from 0 to x, then F'(x) represents the derivative of F with respect to x. According to the Fundamental Theorem of Calculus, the derivative of an integral function of this form is simply the value of the function inside the integral evaluated at x. Therefore, F'(2) is the square root of (2^3+1), which simplifies to sqrt(9), or 3.
a shopper purchased 8 t-shirts and 5 pair of pants for $220. the next day, he purchased 5 t-shirts and a pair of pants for $112. how much does each t shirt and pair of pants cost
Janelle practices basketball every afternoon in her driveway. Each day, her goal is to make 4 more baskets than she made the day before. If she makes 10 basket the first day and meets her goal for 2 weeks, how many baskets will Janelle makes on the 14th day
what is the inverse of the following statement: if he speaks arabic, he can act as the interpreter.
...?
Answer:
If he can not speak Arabic, he can not act as the interpreter.
Step-by-step explanation:
Negating both the hypothesis and conclusion of a conditional statement. For example, the inverse of "If it is raining then the grass is wet" is "If it is not raining then the grass is not wet".
Which input value produces the same output value for the two functions on the graph?
x = -3
x = -2
x = -1
x = 3
The input value produces the same output value for the two functions on the graph is [tex]\boxed{x = - 2}[/tex]. Option (b) is correct.
Further explanation:
Given:
The options are as follows,
(a). [tex]x = - 3[/tex]
(b). [tex]x = - 2[/tex]
(c). [tex]x = - 1[/tex]
(d). [tex]x = 3[/tex]
Explanation:
The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.
The one-to-one function is a function in which every value of the range has exactly one pre-image in the domain.
The functions are [tex]f\left( x \right){\text{ and }}g\left( x \right).[/tex]
From the graph it has been observed that the line of the function intersects each other at [tex]x=- 2.[/tex]
The input value produces the same output value for the two functions on the graph is [tex]\boxed{x = - 2}[/tex]. Option (b) is correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Relation and Function
Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.
Write a justification for each step.
The dimensions of a closed rectangular box are measured as 50 centimeters, 90 centimeters, and 80 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box.
The maximum error in calculating the surface area of the box is approximately 176 square centimeters.
What is the surface area of the rectangular box?The surface area of the rectangular box is given by:
S = 2(wh + lh + lw)
where w, h, and l are the width, height, and length of the box, respectively. The differential of S with respect to each dimension can be expressed as:
dS = 2((h+dh)(w+dw) + (l+dl)(h+dh) + (l+dl)(w+dw)) + 2(wh + lh + lw) - 2S
where dw, dh, and dl represent the maximum error in each measurement, which is given as 0.2 cm. We have to find the maximum error in calculating the surface area, so we need to find the maximum value of dS.
Substituting the given values into the differential expression, we get:
dS = [2*(0.2)*80+2*90*(0.2)]+[2*(0.2)*50+2*80*(0.2)]+[2*(0.2)*50+2*90*(0.2)]
≈ 176
Therefore, the maximum error in calculating the surface area of the box is approximately 176 square centimeters.
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Evaluate cos((Sin^-1)0)
To solve 'Evaluate cos((Sin^-1)0)', the arcsin of 0 is determined first, which equals 0 in degrees. Then, find the cosine of this resulting value, which equals 1.
Explanation:The student's question relates to an evaluation of trigonometric functions: 'Evaluate cos((Sin^-1)0)'. To solve this problem, it's important to recognize the meaning of inverse sine or arcsine. We can denote Sin^-1(0) as an angle, let's call it θ, whose sine value is 0. The sine of an angle will be 0 at 0 degrees. Therefore, Sin^-1(0) = 0 in degrees. Now we need to find out the cosine of this angle. Cosine of 0 degrees is 1, so cos(Sin^-1(0)) = cos(0) = 1. So, the answer is 1.
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The area of the square is 144 square cm length of each side of the square is
what will an investment of 6000 Euro at 7% p.a compound interest amount to after 5 years if the interest is compounded:
a) annually b)quarterly c) monthly? what will an investment of 6000 Euro at 7% p.a compound interest amount to after 5 years if the interest is compounded:
a) annually b)quarterly c) monthly?
the graph of a line goes up and to the right when:
a) the coefficent of x is 0
b) the coffecient of x is negative
c) the coffecient of x is positive
d) there is no coffecient of x
Option: C is the correct answer.
c) the coefficient of x is positive
Step-by-step explanation:We know that graph of a line goes up and to the right when the coefficient of x is positive.
Since we know that when a line goes up and to the right this means that the line is increasing and hence we will get a positive slope of the line and we know that the slope intercept of a line is given as:
[tex]y=mx+c[/tex]
as m is positive this means that:
the coefficient of x is positive.
Hence, the correct answer is:
c) the coefficient of x is positive
The graph of a line goes up and to the right when the coefficient of x is positive, indicating it has an upward slope. This occurs when 'b' in the equation 'y = a + bx' is greater than zero.
The graph of a line wil go up and to the right when the coefficient of x is positive. In other words, when we have an equation like y = a + bx and b is greater than zero, the line has an upward slope. This means that for each step we move to the right on the x-axis, the value of y increases. Therefore, the correct answer to the question is (c) the coefficient of x is positive.
As a reference:
When the slope coefficient b is zero (b = 0), the line is horizontal.If b is negative (b < 0), the line slopes downward to the right.An increase in the slope will cause the line to rotate counter-clockwise around the y-intercept, indicating an increase in its steepness if the slope was positive or a decrease in its negativity if the slope was negative.Remember, the term positive slope indicates the line rises as it moves from left to right, while a negative slope indicates a line that falls as it moves from left to right.
12.56 rounded to the nearest tenth
12.56 rounded to the nearest tenth becomes 12.6.
Rounding some number to a specific value is making its value simpler for better readability or accessibility.
The digit in the hundredth place is 6. The next smaller place value is the tenth place.
If the digit in the next smaller place value is 5 or greater, round up:
Since the digit in the tenth place is 5, we round up.
Change the digit in the hundredth place to 0 and increase the digit in the tenth place by 1:
12.56 rounded to the nearest tenth becomes 12.6.
Therefore, 12.56 rounded to the nearest tenth is 12.6.
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Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
Answer: -1/24(x+5)^2+1
Suppose a parabola has an axis of symmetry at x=-1 a maximum height of 6 and passes through point -2,1. Write the equation of the parabola in vertex form
Graph x2 + 9y2 = 25. What are the domain and range?
Someone please help me !
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