Answer:
The dependent variable is the grade point average recorded for each student.
Step-by-step explanation:
The dependent variable is defined as the variable that is to be tested or even measured in an experiment.
In this question, At the end of the semester, the variable that is being tested is the grade point average for each student.
Thus it is the dependent variable.
The mean grade on the statistics exam is M=82, the standard deviation is G=12. What actual grade has a Z score of z= -1.5
Answer:
64
Step-by-step explanation:
-1.5 = (X - 82)12
-18 = X-82
X = 64
Which of the following inequalities matches the graph?
Answer:
the answer is C, comment if you need explanation
Step-by-step explanation:
Which of the following is most likely the next step in the series?
Answer:
You didn't send a picture from that question so we don't know what to do with it.
3,369,090 divided by 56
Answer:
60162.3214286
Step-by-step explanation:
that's just what my calculator said
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
[tex]\frac{\sqrt{10} }{2}[/tex]
Step-by-step explanation:
on a 45 - 45 - 90 triangle if the sides are x then the hypotenuse is x[tex]\sqrt{2}[/tex]
so,
[tex]\sqrt{5}[/tex] = x[tex]\sqrt{2}[/tex] (Divide by [tex]\sqrt{2}[/tex] )
[tex]\frac{\sqrt{5} }{\sqrt{2} }[/tex] = x (rationalize the denominator)
[tex]\frac{\sqrt{5} }{\sqrt{2} }[/tex] · [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{10} }{\sqrt{4} }[/tex] = [tex]\frac{\sqrt{10} }{2}[/tex]
The length of side is √10/2
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is a 45-90-45 so if the sides are x then the hypotenuse will be x√2
From the figure the hypotenuse of triangle is √5
SO equation it to x√2
We get √5=x√2
Divide both sides by √2
√5/√2=x
As the denominator should be a whole number we have to rationalize the denominator.
Multiply numerator and denominator with √2
√5/√2×√√2/√2
√10/2
Hence, the length of side is √10/2
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If (2,1) is the midpoint of the line segment ST and the coordinates of S are (5,4), find the coordinates of T.
Answer:
Step-by-step explanation:
The formula to find the midpoint of a segment is
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] and we have the midpoint and we also have a coordinate of (5, 4). Let's let x₁ = 5 and y₁ = 4. Filling in what we have:
[tex](2,1)=(\frac{5+x_1}{2},\frac{4+y_2}{2})[/tex] and we'll deal with the x terms first. The x coordinate of the midpoint is 2, so:
[tex]2=\frac{5+x_2}{2}[/tex] and multiply both sides by 2 to get rid of the denominator to get:
4 = 5 + x₂ so
x₂ = -1. Going on to the y coordinate. The y coordinate of the midpoint is 1, so:
[tex]1=\frac{4+y_2}{2}[/tex] and again multiply both sides by 2 to get rid of the denominator to get:
2 = 4 + y₂ so
y₂ = -2
The coordinates of T are (-1, -2)
What is the equation of the line that is parallel to y = 6x – 1 and passes through the point (-3, 4)?
The equation will be in slope-intercept form.
Answer:
y = 6x + 22
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 1 ← is in slope- intercept form
with slope m = 6
Parallel lines have equal slopes, then
y = 6x + c ← is the partial equation
To find c substitute (- 3, 4 ) into the partial equation
4 = - 18 + c ⇒ c = 4 + 18 = 22
y = 6x + 22 ← equation of parallel line
Find the value of x and the value of y. 60 30 6
Answer:
The longest side, which is the opposite side of a right angle is the hypotenuse ( h ).The opposite is the side opposite the angle involved and it is called the Perpendicular ( p ) .The adjacent is the side next to the angle involved ( but not the hypotenuse ) and it is called the base ( b )[tex] \large{ \tt{❃ \: TAKING \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE : }}[/tex]
Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :[tex] \large{ \tt{❁ \: sin \: 60 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]
[tex] \large{ \tt{➝ \: \frac{ \sqrt{3} }{2} = \frac{6}{y} }}[/tex]
[tex] \large{ \tt{➝ \sqrt{3}y = 6 \times 2 }}[/tex]
[tex] \large{ \tt{➝ \: \sqrt{3} \: y = 12 }}[/tex]
[tex] \large{ \tt{➝ \: y= \frac{12}{ \sqrt{ 3} } }}[/tex]
[tex] \boxed{ \large{ \tt{➝ y = \: 4 \sqrt{3} }}}[/tex]
[tex] \large{ \tt{❇ \: TAKING \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} : [/tex]
Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :[tex] \large{ \tt{❊ \: sin \: 30 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]
[tex] \large{ \tt{⟶ \: \frac{1}{2} = \frac{x}{4 \sqrt{3} } }}[/tex]
[tex] \large{ \tt{⟶ \: 2x = 4 \sqrt{3} }}[/tex]
[tex] \large{ \tt{⟶ \: x = \frac{4 \sqrt{3} }{2} }}[/tex]
[tex] \boxed{\large{ \tt{⟶ \: x = 2 \sqrt{3} }}}[/tex]
[tex] \boxed{ \large{ \tt{❈ \: OUR \: FINAL \: ANSWER : \boxed{ \tt \: x = 2 \sqrt{3} \: \: y = 4 \sqrt{3} }✓}}}[/tex]
And we're done! Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help ! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Hey Help me out please, thanks!
Answer:
The first one: 0=-3x-5+x²
Step-by-step explanation:
You have to rearrange the equation to identify the coffecients on the quadratic.
Answer:
First one.
Step-by-step explanation:
Put in standard form. Highest exponent to lowest to constant.
[tex]x^{2}[/tex] - 3x - 5 = 0
a[tex]x^{2}[/tex] - bx - c = 0
10. Evaluate the function rule for the given value.
y = 12x3^for x =-2
Answer:
-96
Step-by-step explanation:
by replacing -2 on the place of x we get 12x-8= -96
The lateral area of a cone is 86 cm squared. The radius is 18 cm. Find the slant height to the nearest tenth.
Group of answer choices
1) 5.7 cm
2) 4.8 cm
3) 1.5 cm
4) 2.6 cm
Answer: 4) 2.6 cm
Step-by-step explanation:
Because if the lateral area is 86 and the radius is 18, then the slant height is around 2.6
Examine the equation.
-2(-x + 9) = 2(x - 9)
2x - 18 = 2x - 18
This equation has:
1. One solution
2. Infinity many solutions
3. No solution
Which graph represents a function?
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.top cylinder: 6 in, 8 in
botton cube: 9 in, 9 in, 15 in
The volume of this figure is _____ cubic inches.
Answer:
1441.08 in^3
Step-by-step explanation:
Volume of rectangular prism = 15 * 9 * 9 = 1215 in^3
radius = 3 in
Volume of the cylinder = 3^2 * 3,14 * 8 = 226.08 in^3
Total volume = 1215 + 226.08 = 1441.08 in^3
Answer:
HJHJGHJHG
Step-by-step explanation:
JGHU45565677689789
What is the effect on the graph f(x) = 1/x when it is transformed to g(x) = 1/x + 15?
Answer:
B
Step-by-step explanation:
It is shifted 15 units up. Think of how you're solving for y, and by adding 15 to the equation, y increases by 15. If y increases by 15 the graph shifts up by 15. Hope that helps.
What is essential to remember when simplifying a cube root compared to a square
root?
Answer:
The cube root of a number x is the length of the side of a cube whose volume is x cubic units.
The square root of a number x is the length of the side of a square whose area is x square units.
Hence the words ‘cube’ and ‘square’.
Mathematicians have then generalized these two concepts for when x is not necessarily a volume of a cube or an area of a square
Find the measure of the third angle of a triangle if the measures of the other two angles are given.
31.8 and 89.8
The three angles of a triangle equal 180
Third angle = 180 - 31.8 - 89.8 = 58.4
Answer: 58.4
20. It takes Zach 15 minutes to walk 7 blocks to the swimming pool. 7 At this rate, how many blocks can he walk in one minute? Circle the letter of the correct answer. how do I do this step by step to solve it by myself
Answer:
Zach chose C as the correct answer
What is the mode of the set of numbers {55, 57, 59, 61, 62, 63, 64, 64, 65, 68, 69)
Answer:
64
Step-by-step explanation:
The mode of a data set is the number that occurs most frequently in the set. So, just look for the number that appears the most.
I hope this helps!
Line b has a slope of -2/7. Line c is perpendicular to b. What is the slope of c?
Perpendicular lines have negative reciprocal slopes.
This is just a fancy way of saying flip the fraction and change the sign.
So the slope of line c is 7/2.
Which of the following sampling methods are biased?
systematic random sample
voluntary response sample
convenience sample
simple random sample
Answer:
- voluntary response sample
- convenience sample
Step-by-step explanation:
Any method of sampling can be biased depending on how they are cared out; however, both voluntary response and convenience are almost always biased. This is because in both the sample is not controlled. In voluntary response, there is no way to ensure that the sample will be representative of everyone since it is based on volunteers. Convenience is also biased because the sample is skewed towards whatever is convenient not what is fair and representative.
Find the product
14/4 • 33/10 =
Answer:
Step-by-step explanation:
[tex]\frac{14}{4}*\frac{33}{10}=\frac{7}{2}*\frac{33}{10}\\\\ =\frac{7*33}{2*10}\\\\=\frac{231}{20}\\\\=11\frac{11}{20}[/tex]
An angle measures 42.2° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
x + (x-42.2) = 90
2x - 42.2 = 90
add 42.2 to both sides
2x = 132.2
divide each side by 2
x = 66.1
find the measure of the other angle
66.1 - 42.2 = 23.9
Step-by-step explanation:
Answer:
66.1° and 23.9°
Step-by-step explanation:
Complementary angles are angles that sum up to 90°
So equation : x + x - 42.2 = 90
2x - 42.2 = 90
2x = 132.2
x = 66.1
66.1° is the "other complementary angle"
This angle is 66.1 - 42.2 = 23.9°
If my answer is incorrect, pls correct me!
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-Chetan K
Which equation in slope-intercept form represents a line that passes through the point (2,3) and is parallel to the line y-9=2/3(x+7)
Answer:
y=(2/3)x+5/3
Step-by-step explanation:
y-9=2/3(x+7)
y=(2/3)x+14/3+9
The slope of this line is 2/3, and if a line is parallel to this line, their slopes are the same. So the line is:
y=(2/3)x+b (where b is the y-intercept)
We can plug in the values (2,3) into this equation to find b:
3=(2/3)*2+b
3=4/3+b
b=5/3
The equation is: y=(2/3)x+5/3
Helpppp please
Find the volume of this object.
Use 3 for pi
Answer:
The sphere
[tex]v=\frac{4}{3} \pi r^{3}=\frac{4}{3}*3.14 *2^{3}=\frac{4*3.14*8}{3}=\frac{100.48}{3}=33.493[/tex]
The cylinder
[tex]v=\pi r^{2} h=3.14*(\frac{4}{2} )^{2}*3=3.14*2^{2}*3=9.42*4=37.68[/tex]
Add those two volumes together:
[tex]33.493 + 37.68 = 71.173 in^{3}[/tex]
Two cylinders are similar. The surface
area of one is 64 cm2, and the surface
area of the other is 81 cm2. Find the
scale factor between them.
Enter the smaller number first.
scale factor =
[?]:[]
A 0.25 mL sample of water drawn from a 5 liter flask contains 1.25 x 10^8 bacteria. Give the approximate number of bacteria in the flask, expressing your answer in scientific notation.
(Scientific Notation: find a real number a between 1 and 10, and an integer n, such that x = a x 10^n.)
Answer:
The number of bacteria in 0.25 mL is 6.25 x 10^3.
Step-by-step explanation:
5 liter flask contains 1.25 x 10^8 bacteria.
So, 1liter flask contains = [tex]\frac{1.25 \times 10^8}{5} =2.5\times 10^7[/tex]
Now
0.25 mL contains = [tex]2.5\times 10^7 \times0.25\times 10^{-3} = 6.25\times 10^3[/tex]
Can someone help me with this math homework please!
Answer:
(B) h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
Step-by-step explanation:
You've probably seen this function notation format before, most likely f(x). Other common ones are g(x) and p(x). The f, g, and p are just function names, like the h in this question.
The t in the parentheses is the input, because it's the same as the t in 210 - 15t.
Together, h(t) is the output, which is the exact same as y if you used the formula y = mx + b.
Hope it helps (●'◡'●)
Please help!!!!!!!! I’ve been stuck on this
A rectangle has an area of 32 square millimeters. The length of the rectangle is 888 millimeters. What is the width of the rectangle?
Answer:
0.036
Step-by-step explanation:
See image below:)
the area is 32 and the length is 888
you use the formula w= a/l
so a= 32 and l= 888
The width is 0.036mm.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
Here, given that,
the area is 32 and the length is 888
We use the formula w= A/l
so, A= 32 and l= 888
Then, width= w= 32/888
=0.036 mm.
Hence, width is 0.036mm
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