Suppose the test scores of students in a class are normally distributed with a mean of 92 and a standard deviation of 3.
What is the z-score for a student who scored 86 on a test?
−6
−2
2
6
which of the following represents the ratio of the hypotenuse to the given side 45 and 45
A ratio shows us the number of times a number contains another number. The correct option is C.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The complete answer is mentioned in the below image.
The ratio of the hypotenuse to the given side is,
Ratio = (6√2)/ 6 = √2 : 1
Hence, the correct option is C.
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Solve for x: x^19 − 2x^18 + 7x^17 − 12x^6 + 6x^15 = 0
A) 0,1, +/-6i
B) -1,0, +/-√6i
C)-1, 0, +/-6i
D) 0,1, +/-√6i
What is the y-intercept of the line perpendicular to y= -5/2x + 4/5 including point (-3,-1) ?
1. What is the vertex of the parabola?
A. (-1,0) B. (0, -3) C. (1, -4) D. (3, 0)
2. Which of the following has a graph that is wider than the graph of y=3x^2+2?
A. Y=3X^2+3
B. Y=0.5X^2+1
C. Y=-4X^2-1
D.Y=4X^2+1
3. Which graph represents the unction y=-2x^2-5?
4. What is the order, form narrowest to widest graph, of the quadratic functions f(x)=-10x^2, f(x)=2x^2, f(x)=0.5x^2
A. f(x)=-10x^2, f(x)=2x^2, f(x)=0.5x^2
B. f(x)-2x^2, f(x)=-10x^2, f(x)=0.5x^2
C. f(x)=0.5x^2, f(x)=2x^2, f(x)=-10x^2
D. f(x)=0.5X62, f(x)=-10x^2, f(x)=2x^2
Answer:
1. what is the vertex of the parabola?
C : ( 1, -4 )
2. Which of the following has a graph that is wider than the graph of y=3x^2+2?
B : Y=0.5X^2+1
3. Which graph represents the unction y=-2x^2-5?
D : choose the graph that has the smaller curve and arrows facing down
4. What is the order, form narrowest to widest graph, of the quadratic functions f(x)=-10x^2, f(x)=2x^2, f(x)=0.5x^2
A : f(x)=-10x^2, f(x)=2x^2, f(x)=0.5x^2
Step-by-step explanation:
these are the correct answers for 2022
i finished the quick check UwU
MEDAL!!!@#$%
7. According to the plate tectonics model, what layer from Earth's rigid, mobile plates?
A. inner and outer core
B. upper and lower mantle
C. crust only
D. crust and upper mantle <---
i think D is the answer,
Rob and john share money in a ratio of 9:4. How much of the £39000 does john get ?
Help a fella out. Explain this to me.
The expression square root of 576/64 in simplest form is
Answer:
Just did it
The answer is 3
Step-by-step explanation:
32 = 4m + 8 solve each equation
The function rule for this graph is y =__ x +__
It is -1/2x + 2...she just didnt add the negative sign
The equation of line will be -
y = [tex]-\frac{1}{2} x[/tex] + 2
We have a graph as shown in the figure.
We have to find out the equation of this straight line in the graph.
What is the general form of the equation of a Straight line?The general form of a equation of a straight line is -
y = mx + c
where -
m - slope of line
c - the y - intercept
We have -
The y intercept of the straight line as = (0, 2)
The x intercept of the straight line as = (4, 0)
The slope of the line will be m = [tex]\frac{2 - 0}{0 - 4}[/tex] = - [tex]\frac{1}{2}[/tex]
The y-intercept is at (0, 2) , therefore the value of c = 2.
Substituting the values in the general equation of line we get -
y = mx + c
y = [tex]-\frac{1}{2} x[/tex] + 2
Hence, the equation of line will be -
y = [tex]-\frac{1}{2} x[/tex] + 2
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WILL GIVE THE BRAINLIST!!!
In the table below, x represents miles traveled and y represents the cost to travel by train.
What is the y-intercept of this function?
2.25
4.00
6.50
17.13
Answer:
Option B. 4
Step-by-step explanation:
By the table mentioned by you in the comments that the correct table is
x(miles) 2 5 8 12
y(cost) 8.5 15.25 22 31
As we know that the standard equation of a linear function is represented as
y = mx + c
For the points (2, 8.5) and (5, 15.25)
[tex]Slope(m)=\frac{15.25-8.5}{5-2}=\frac{6.75}{3}=2.25[/tex]
y = 2.25x + c
This function passes through (2, 8.5)
8.5 = 2.25×2 + c
c = 8.5 - 4.5 = 4
Therefore, y- intercept of the function will be option B. 4.
The y-intercept of this line is (4). Therefore, the estimated y-intercept of the function represented by the given data is 4.
To find the y-intercept of the function from the provided table, we look for the point where (x = 0), which represents the cost when no miles are traveled.
However, in the given table, there is no entry for \(x = 0\), which means we don't have a direct value for the y-intercept from the given data.
To estimate the y-intercept, we can use the concept of linear interpolation.
We can assume that the relationship between miles traveled and cost is linear, so we can find the slope of the line passing through two consecutive points and use it to estimate the cost when (x = 0).
Using the points (2, 8.5) and (5, 15.25) from the table:
[tex]\[ \text{Slope} = \frac{{15.25 - 8.5}}{{5 - 2}} = \frac{6.75}{3} = 2.25 \][/tex]
Now, we can use the slope and one of the points to find the y-intercept using the point-slope form of the equation of a line: [tex]\(y - y_1 = m(x - x_1)\).[/tex] Let's use the point (2, 8.5):
y - 8.5 = 2.25(x - 2)
y - 8.5 = 2.25x - 4.5
y = 2.25x + 4
The y-intercept of this line is (4). Therefore, the estimated y-intercept of the function represented by the given data is [tex]\(\boxed{4.00}\)[/tex].
Complete question:
By the table mentioned by you in the comments that the correct table is
x(miles) 2 5 8 12
y(cost) 8.5 15.25 22 31
In the table below, x represents miles traveled and y represents the cost to travel by train.
What is the y-intercept of this function?
2.25
4.00
6.50
17.13
Please help asap. Super appreciated! <3
Find the number of moles in 508 g of ethanol (C2H5OH).
Find all possible values for θ if 0° < θ < 360° and tanθ = -1.
a. -225°
b. -45°
c. 135°
d. 225°
e. 315°
To find all possible values for θ if 0° < θ < 360° and tanθ = -1, we need to determine in which quadrants the tangent function is negative and then find the specific angles in those quadrants where the tangent equals -1.
The tangent function is negative in the second and fourth quadrants. Since tan(45°) = 1, we are looking for angles where the reference angle is 45° and the tangent is negative.
In the second quadrant, the angle that meets these criteria is 180° - 45° = 135°.
In the fourth quadrant, the angle that meets these criteria is 360° - 45° = 315°.
Therefore, the correct values for θ are:
c. 135°
e. 315°
The correct answer is [tex]135^{0}[/tex], [tex]225^{0}[/tex]
To find all possible values of θ if 0° < θ < 360° and tan θ = -1, we need to consider the values of θ in the different quadrants where the tangent function is negative.
In the first quadrant (0° < θ < 90°), the tangent function is positive, so there are no solutions in this range.
In the second quadrant (90° < θ < 180°), the tangent function is negative, and tan(135°) = -1.
In the third quadrant (180° < θ < 270°), the tangent function is also negative, and tan(225°) = -1.
In the fourth quadrant (270° < θ < 360°), the tangent function is positive, so there are no solutions in this range.
Therefore, the possible values of θ satisfying the given conditions are:
[tex]\theta = 135^\circ and \theta = 225^\circ[/tex]
Analyzing the given options:
a. [tex]-225^\circ[/tex] is not a solution, as it lies outside the given range of 0° < θ < 360°.
b. [tex]-45^\circ[/tex] is not a solution, as the tangent function is positive in the fourth quadrant.
c. [tex]135^\circ[/tex] is a solution, as tan(135°) = -1.
d. [tex]225^\circ[/tex] is a solution, as tan(225°) = -1.
e. [tex]315^\circ[/tex] is not a solution, as the tangent function is positive in the fourth quadrant.
Therefore, the correct options are c. 135° and d. 225°.
Complete the two- column proof
Given: 11x - 6y = -1; x = 8
Prove: 98/6 = y
11x - 6y = -1; x = 8
88 - 6y = -1
-6y = -89
y = 89/6
89/6 = y
a. Given: b. Symmetric Property of Equality; c. Subtraction Property of Equality; d. Division Property of Equality; e. Reflexive Property of Equality
a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Division Property of Equality; e. Symmetric Property of Equality
a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Division Property of Equality; e. Reflexive Property of Equality
cant put it all in h
The correct properties of equality used to solve the equation given x = 8 are Given, Substitution Property, Subtraction Property of Equality, Division Property of Equality, and Symmetric Property of Equality.
Explanation:The student has shared the steps of solving an equation and is asking for the correct sequence of properties used to solve it:
Given: 11x - 6y = -1; x = 8Substitute x: 88 - 6y = -1Subtract 88 from both sides: -6y = -89Divide by -6: y = 89/6State that 89/6 = yThe correct properties of equality should be applied as follows:
Given: Both the equation and x = 8 are provided information.Substitution Property: x = 8 is substituted into the equation for x.Subtraction Property of Equality: 88 is subtracted from both sides of the equation.Division Property of Equality: Both sides of the equation are divided by -6 to solve for y.Symmetric Property of Equality: Rearranges the equation to y = 89/6 for clarity.Let f be a differentiable function such that f(0) = -5 and f'(x) is less than or equal to 3 for all x. Of the following, which is not a possible value for f(2)?
A) -10 B) -5 C) 0 D) 1 E) 2
Using the Mean Value Theorem, we can determine the possible values for f(2) which is D) 1
Explanation:To find the possible values for f(2), we can use the Mean Value Theorem. Taking into consideration the mean value theorem, the value of the function f'(x) has to have the value equal to the average slope between the two points at at least one point between the two given values.
Since f(0) = -5 and f'(x) is less than or equal to 3 for all x, we know that f(2) must lie between -5 and -5 + 3(2) = 1.
Therefore, 1 is not a possible value for f(2), making the correct answer choice D) 1.
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This figure is made up of a triangle and a semicircle. What is the area of this figure? Use 3.14 for pi. Round only your final answer to the nearest tenth. Enter your answer, as a decimal, in the box. units²
https://static.k12.com/nextgen_media/assets/8124428-GA_GMT_IT_03_DP100_885_008.png
The area of the figure that is made up of a triangle and a semicircle is 23.137 units².
What is the area of a triangle?The area of a triangle is half the product of its base and its height.
[tex]Area \triangle = \dfrac{1}{2}\times base \times height[/tex]
In order to solve the problem, we will divide the given figure into two parts such that the first one will be a right-angled triangle while the second one is a semi-circle as shown below.
As we can see in the ΔABC, the height of the triangle is 3 units, while the length of the base of the triangle is 6 units. therefore, the area of the triangle can be written as,
[tex]\begin{aligned}\triangle ABC &= \dfrac{1}{2} \times height \times base\\\\&= \dfrac{1}{2} \times BC \times AB\\\\& = 0.5 \times 3 \times 6\\\\& = 9\rm\ unit^2 \end{aligned}[/tex]
Now, if we look at the semi-circle we will find that the diameter(BC) of the semi-circle is 3 units, therefore, the area of the semi-circle can be written as,
[tex]\begin{aligned}\text{Area of Semi-circle} &= \dfrac{\pi}{2}d^2\\\\ &= \dfrac{\pi}{2}(3)^2\\\\&= 14.137\rm\ units^2 \end{aligned}[/tex]
Further, in order to get the total area of the figure, simply add the two areas, therefore,
The area of the figure = Area of triangle + Area of the semi-circle
= 9 + 14.137
= 23.137 units²
Hence, the area of the figure that is made up of a triangle and a semicircle is 23.137 units².
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Last month, the seventh grade and eighth grade math classes at Moore Middle School collected canned goods for the local food shelter. The dot plots below show the number of canned goods collected by the classes.
The mean absolute deviation for each grade level is 1.6. The difference between the mean number of canned goods collected by each grade level is how many times the mean absolute deviation?
A. 5
B. 4
C. 3
D. 6
Please Help!!!
The only coins Alexis has are dimes and quarters.
Her coins have a total value of $5.80.
She has a total of 40 coins.
Which of the following systems of equations can be used to find the number of dimes,d, and the number of quarters, q, Alexis has. Explain your choice.
A.) d + q = 5.80
40d + 40 q= 5.80
B.) d + q = 40
0.25d + 0.10q = 5.80
C.) d + q = 5.80
0.10d + 0.25q = 40
D.) d + q = 40
0.10d = 0.25q = 5.80
The correct answer is (d). If d represents the number of dimes and q the number of quarters, the total number of coins would be d+q, which is given as 40 in the prompt: d+q=40
Since each dime is worth ten cents and each quarter worth twenty-five cents, their total value would be 0.10d+0.25q which would total 5.80.: 0.10d+0.25q=5.80 I HOPE THIS HELPS YOU
A dress normally sells for $45.95. How much does the dress cost after a 20% discount?
What is the solution set?
−4.9x+1.3>11.1
Enter your answer in the box.
To solve the inequality -4.9x + 1.3 > 11.1, subtract 1.3 from both sides and then divide by -4.9, flipping the inequality sign to get x < -2. The solution set is x < -2.
To solve the inequality -4.9x + 1.3 > 11.1, follow these steps:
Subtract 1.3 from both sides to isolate the term with x:The solution set for the inequality is x < -2.
Roger and Sulee each decomposed 1 1/6.Roger wrote 1/6+1/6+2/6+3/6.Sulee wrote 3/6+4/6. who is correct? Explain
Someone help me and remember to show your work so I know how to do it!
What is the value of x in the diagram below?
Answer: B
Step-by-step explanation: EDGE 2022
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality 7.2b + 6.5 > 4.8b – 8.1. Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1. Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1. Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6. Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b. Which student’s first step was incorrect, and why? Amelia’s, because the variable term must be isolated on the left side Luis’s, because he flipped the inequality sign when he subtracted Shauna’s, because she did not apply the subtraction property of equality properly Clarence’s, because the terms he added together were not like terms
Answer:
B
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
got it right on Edge
please mark as Brainliest
(P.S. Luis is my first name)
Reflection across the y -axis
Answer:
G (-6,-8) H(-2,-2) F(0,-4)
Step-by-step explanation:
So really you add an negitive symbol to each number then its reflected acroos the x axis
Find each missing length to the nearest tenth
Draw the graphs of the lines below on the same grid to find the coordinates of the point of intersection y=x+2 y=−12x+5
I Really Need Help With This Problem, Please
Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. The order does not matter.
Corresponding angles : 1 & 5 , 2 & 6 , 4 & 7 , 3 & 8 .
Alternate interior angles : 4 & 6 , 3 & 5
Alternate exterior angles : 1 &8 , 2 & 7
Consecutive interior angles : 4 & 5, 3 & 6
Step-by-step explanation:The corresponding angles are the angles that are in the same position made by a line cutting through two or more other lines.The alternate interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. The alternate exterior angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. The consecutive interior angles are the pair of angles which are formed on one side of the transversal when two lines are intersected by transversal line .By using the above definitions,
Corresponding angles : 1 & 5 , 2 & 6 , 4 & 7 , 3 & 8 .
Alternate interior angles : 4 & 6 , 3 & 5
Alternate exterior angles : 1 &8 , 2 & 7
Consecutive interior angles : 4 & 5, 3 & 6