Alex buys 24 apples and when he opens it 6 apples are bad whats the perecentage of the bad apples
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]
Write 98 as the product of prime factors in ascending order
A carpenter makes chairs with slats that run across the chair as shown. each chair uses 7 slats. he needs to make 24 chairs.how many slats must he make?
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.
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
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
The area of the square is 144 square cm length of each side of the square is
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
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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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 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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In an isometric transformation, the preimage and image must not __________.
A.
change size
B.
rotate
C.
preserve angle measures
D.
reflect across the -axis
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
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".
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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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
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
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
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]
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.
Learn more:
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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.
information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f
Degree 4; zeros: i, 14+i
what are the remaining zeros of f
The remaining zeros of the given degree 4 polynomial f(x) with known zeros i and 14+i are -i and 14-i.
In Mathematics, particularly in studying polynomials, if a polynomial has real coefficients, then complex zeros always occur in conjugate pairs.
That is, if a+bi is a zero, then its conjugate, a-bi is also a zero.
Given that f(x) is a polynomial of degree 4 with zeros i and 14+i, then its conjugate zeros are -i and 14-i. Therefore, the four zeros of the polynomial f(x) are i, -i, 14+i and 14-i.
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B 6 /5 = 10
a. 44
b. 4
c. 56
d. 8
Write a justification for each step.
write an expression that represents the area of a square with side length 6xy^2 (for any square with side length s, A=s^2=s.s.)
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.
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
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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