If SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325, find the probability that a randomly selected SAT score is between 1550 and 1575.
A.
0.5714
B.
0.9684
C.
0.0316
D.
0.5398
Answer:
C.
0.0316
Step-by-step explanation:
Twenty different statistics students are randomly selected. for each of them, their body temperature ( degrees °c) is measured and their head circumference (cm) is measured. if it is found that r=0, does that indicate that there is no association between these two variables?
Which equation shows 2x – y = 6 converted to slope-intercept form? y = x – 3 y = 2x – 6 y = –2x + 6
Computer amount of interest earned and the following simple interest from a deposit of 5500 at 6% for three years equals?
The volume of an oblique pyramid with a square base is V units3 and the height is h units.
Which expression represents the area of the base of the pyramid?
A)3v/h units
B)(3V – h) units
C)(V – 3h) units
D)V/3H units
Answer: A. 3V/ h units^2
Step-by-step explanation:
A regular octagonal pyramid has a base edge of 3m and a lateral area of 60m^2. Find its slant height.
The slant height is 5 m
This week, sandy was out sick on monday and tuesday. Last week, Jared was out sick on Thursday and Friday. The week before, Elisa was out sick on Wednesday and Thursday. What generalization can you make about these three students absents? Can you make a second generalization?
A generalization is a broad statement or an idea that is applied to a group of people or things. Most often, generalizations are not entirely true, because usually, the pattern they see in the relationship of a certain group of individuals or situations does not apply. In our example, where Elisa, Sandy, and Jared got sick and were absent from school for two days straight, within the 3 week period, we can make the following generalizations patterns:
1) There is an outbreak of sickness in the school for 3 consecutive weeks.
2) The said sickness lasts for two days.
Anja collected data about the number of dogs 9th-grade students own. She created this histogram to represent the data and determined that it is skewed right. Which statement is true about Anja’s claim?
Look at the cylinder below. which of these could not be a cross section of the cylinder? a circle b square c triangle d rectangle
Final answer:
A square cannot be a cross section of a traditional circular cylinder when sliced perpendicular to its height. However, circles, rectangles, and triangles can be cross sections depending on the shape of the cylinder and the slicing.
Explanation:
When considering the cross sections of a cylinder, it is important to remember that the cross-sectional shape remains consistent along the height of the cylinder. A cross section made perpendicular to the height of a traditional circular cylinder is always a circle. Therefore, the correct answer to which shape could not be a cross section of a cylinder is a square, option b. Circles, rectangles, and triangles can all be cross sections of a cylinder depending on the shapes of the top and bottom faces of the cylinder and how the cross section is sliced.
If the cylinder is a right circular cylinder, the only possible perpendicular cross-sectional shape is a circle. A square cross section can occur in a cylinder if the top and bottom faces are square and the cylinder is not circular. Similarly, a rectangular cross section can occur if the cylinder has a rectangular type of cross-section to start with. However, for a circular cylinder, a triangle cannot be a cross section because slicing it will always yield a circular shape due to the round nature of its base.
What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)squared + 4?
Answer:
x = 3/2
Step-by-step explanation:
That is quite long and drawn out, so we have to get it down to a single quadratic equation, set equal to 0.
Begin by expanding the right side to get
[tex]y+3x-6=-3(x^2-4x+4)+4[/tex]
then multiplying in the -3 to get
[tex]y+3x-6=-3x^2+12x-12+4[/tex]
Now we will combine all the like terms and get everything on one side of the equals sign, and set it equal to 0:
[tex]-3x^2+9x-2=0[/tex]
In order to find the equation of the axis of symmetry we have to put it into vertex form, which is accomplished by completing the square on this quadratic.
In order to complete the square, the leading coefficient has to be a +1. Ours is a -3, so we will factor that out. First, though, now that it is set to equal 0, we will move the constant, -2, over to the other side, isolating the x terms.
[tex]-3x^2+9x=2[/tex]
Now we can factor out the -3:
[tex]-3(x^2-3x)=2[/tex]
The rules for completing the square are as follows:
Take half the linear term, square it, and add it to both sides. Our linear term is 3. Half of 3 is 3/2, and squaring that gives you 9/4. We add into the parenthesis on the left a 9/4, but don't forget about that -3 hanging around out front that refuses to be ignored. We didn't add in just a 9/4, we added in (-3)(9/4) = -27/4:
[tex]-3(x^2-3x+\frac{9}{4})=2-\frac{27}{4}[/tex]
In the process of completing the square we created a perfect square binomial on the left. Stating that binomial and simplifying the addition on the right gives us:
[tex]-3(x-\frac{3}{2})^2=-\frac{19}{4}[/tex]
We can determine the axis of symmetry at this point. Because this is a positive x-squared polynomial, the axis of symmetry is in the form of (x = ) and what it equals is the h coordinate of the vertex. Our h coordinate is 3/2; therefore, the axis of symmetry has the equation x = 3/2
Solve this inequality: 3q + 11 + 8q > 99. A. q > 8 B. q > 1/8 C. q > 88 D. q > 11
Write the equation of the given circle.
center (-2, -2)
radius of 6
When you have two shapes to compare on a coordinate plane, you can determine the scale factor, knowing that the transformation was a dilation. Generate instructions you would give another student to determine the scale factor.
Sample Response: Locate two corresponding ordered pairs of the two shapes. Calculate how much the pre-image values were multiplied by to obtain the image values. This is your scale factor. You can calculate this by dividing the coordinates of the mage by the corresponding coordinates of the pre-image.
A tree is 100 feet tall casts a shadow that is 150 feet long . Determine the angle at which the rays of of tge sun hit the ground , to tye nearest degree
How do you find the base of this triangle? (Picture should be able to be seen)
Professor Scott has 84 students in his college mathematics lecture class. The scores on the midterm exam are normally distributed with a mean of 72.3 and a standard deviation of 8.9. How many students in the class can be expected to receive a score between 63.4 and 81.2? Express the answer to the nearest student.
A suitable calculator can show you the number of students having a score in that range is expected to be about 57.
Can someone please help me with this!!
Will give brainliest!!
Wright a real world problem that involves classifying a quadrilateral. Then solve the problem.
Two consecutive positive odd integers have a product of 63. what is the smaller number
Kristin decides to spend at most $50 for a birthday dinner at a restaurant, including a 15% tip.,
Write an inequality in one variable to represent this situation.
What is the most that her meal can cost before a tip?
The representation of this situation as an inequality is 1.15x ≤ 50. To find the maximum possible cost of Kristin's meal before the tip, the inequality is solved for x, which results in the value of $43.48.
Explanation:In this scenario, the cost of Kristin's meal before the tip can be represented by the variable x. The tip is 15% of the cost of the meal, which can be represented as 0.15x. The total cost of the meal, including the tip, is therefore x + 0.15x, which is 1.15x. Given that the total cost cannot exceed $50, we can write the following inequality to represent this situation: 1.15x ≤ 50.
To find the most that her meal can cost before a tip, we need to solve this inequality for x. So, we divide both sides by 1.15: x ≤ 50/1.15. After calculation, we find that x (the cost of the meal before the tip) must be ≤ about $43.48.
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Under the normal curve, approximately what percent of scores fall between and -1 to +1 standard deviations around the mean?
What is 12.5(18/6)+5³
Final answer:
To solve the expression 12.5(18/6) + 5³, divide 18 by 6 to get 3. Multiply 12.5 by 3 to get 37.5. Then, calculate 5³, which equals 125. Adding the results, you get 162.5.
Explanation:
To solve the expression 12.5(18/6) + 5³, follow the order of operations (PEMDAS/BODMAS). First, divide 18 by 6, which equals 3. Next, multiply 12.5 by 3, which equals 37.5. Finally, calculate 5³, which equals 125. Adding the results, 37.5 + 125 = 162.5.
Please help me find the value of x in the triangle in the link!
Factor this expression.
4x – 20
A. 4(x – 16)
B. 4(x – 6)
C. 4(x – 5)
D. 4(x – 10)
what is the best approximation of the volume, in cubic units, of a cone of diameter 20 and height 13
The best approximation for the volume of the cone in cubic units is 1361.357 units³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given that,
Diameter of the cone = 20
Radius of the cone, r = Half of diameter
= 20/2 = 10
Height of the cone, h = 13
Volume of the cone = 1/3 π r² h
= 1/3 π (10)² (13)
= 1361.357 units³
Hence the volume is 1361.357 units³.
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Solve d = c π for π. A) π = cd B) π = c d C) π = d c D) π = c − d
Answer:
The answer is B
Step-by-step explanation:
Which is the correct simplified form of the expression ?(4m-2n8/9m-6n-8)1/2
Answer:
[tex]\frac{2m^2n^8}{3}[/tex]
Step-by-step explanation:
The given expression is:
[tex](\frac{4m^{-2}n^8}{9m^{-6}n^{-8} })^{\frac{1}{2}}[/tex]
Upon simplifying the above equation, we get
Move [tex]m^{-6}[/tex] to teh numerator and Using the negative exponent rule, we get
=[tex](\frac{4m^{-2}n^8m^6}{9n^{-8} })^{\frac{1}{2}}[/tex]
Move [tex]n^{-8}[/tex] to teh numerator and Using the negative exponent rule, we get
=[tex](\frac{4m^{-2}n^8m^6n^8}{9})^{\frac{1}{2}}[/tex]
=[tex](\frac{4m^{4}n^{16}}{9})^{\frac{1}{2}}[/tex]
=[tex](\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2})^{\frac{1}{2}}[/tex]
=[tex]\frac{2m^2n^8}{3}[/tex]
which is the correct simplified form of the given expression.
What is a polynomial function in standard form with zeroes 0, 1, 4, and –1?
(Please help and thanks in advance!)
A quadrilateral has angles that measure 90°, 46°, and 120°. What is the measure of the fourth angle?
Which function has an inverse that is also a function?
{ ( -1 , 3 ) , ( 0,4 ), ( 1 , 14 ) , ( 5, 6 ) , ( 7, 2 )}
Further explanationFunction is a relation which each member of the domain is mapped onto exactly one member of the codomain.
There are many types of functions in mathematics such as :
Linear Function → f(x) = ax + bQuadratic Function → f(x) = ax² + bx + cTrigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan xLogarithmic function → f(x) = ln xPolynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...If function f : x → y , then inverse function f⁻¹ : y → x
Let us now tackle the problem!
According to the definition above, it can be concluded that a function cannot have the same x value.
Of the four tables available in choices, table option C has an inverse that is also a function. This is because x values and y values are all different.
[tex]\{(-1,3) , ( 0,4} ) , ( 1,14 ) , ( 5, 6) , ( 7, 2) \}[/tex]
Option A doesn't have inverse because there is the same value of y i.e 4
[tex]\{(-1,-2) , ( 0,\boxed{4} ) , ( 1,3 ) , ( 5, 14) , ( 7, \boxed {4}) \}[/tex]
Option B doesn't have inverse because there is the same value of y i.e 4
[tex]\{(-1,-2) , ( 0,\boxed{4} ) , ( 1,5 ) , ( 5, \boxed {4}) , ( 7, 2) \}[/tex]
Option D doesn't have inverse because there is the same value of y i.e 4
[tex]\{(-1,\boxed {4}) , ( 0,\boxed{4} ) , ( 1,2 ) , ( 5, 3) , ( 7, 1) \}[/tex]
Learn moreInverse of Function : https://brainly.com/question/9289171Rate of Change : https://brainly.com/question/11919986Graph of Function : https://brainly.com/question/7829758Answer detailsGrade: High School
Subject: Mathematics
Chapter: Function
Keywords: Function , Trigonometric , Linear , Quadratic