Answer:l
Step-by-step explanation:
The quotient of c and 6
Answer:
"a quotient of a number and 6" refers to n6 or n÷6 .
Step-by-step explanation:
r. Let's let n be the "number". Therefore, "a quotient of a number and 6" refers to n6 or n÷6 .
The scores on two standardized tests are normally distributed. The first test had a mean of 58 and a standard deviation of 6. The second test had a mean of 78 and a standard deviation of 5. What score would you need on the second test to equal a score of 66 on the first test? Give answer to the nearest whole number.
Answer:
84.67
Step-by-step explanation:
Given that :
First test:
Mean (m) = 58
Standard deviation (s) = 6
A score of 66 on the first test :
Z score (standardized score) :
Z = (66 - 58) / 6
Zscore = 1.3333
Second test:
Mean (m) = 78
Standard deviation (s) = 5
Using the Zscore pertaining to 66 in the first test :
Z = (x - m) / s
1.3333 = (x - 78) / 5
1.3333 * 5 = x - 78
6.66667 = x - 78
x = 6.6667 + 78
x = 84.67
the answer is below PLEASE HELP IM BEING TIMED I WILL MARK BRAINLIEST IF RIGHT
A rectangular solid has width w, a length of 7 more than the width, and a height that is equivalent to 15 decreased by 3 times the width. Express the volume in terms of the width. Then find the maximum volume
Answer:
For a rectangular solid with:
width = w
length = l
height = h
The volume is equal to:
V = w*l*h
in this case we know that:
width = w.
"length of 7 more than the width"
l = w + 7.
"a height that is equivalent to 15 decreased by 3 times the width."
h = 15 - 3*w
Then the volume will be:
V = w*l*h = w*(w + 7)*(15 - 3w) = (w^2 + 7*w)*(15 - 3*w)
V = ( -3*w^3 + 15*w^2 + 105*w - 21*w^2)
V = (-3*w^3 - 6*w^2 + 105*w)
Now, the maximum volume will be for the value of w such that:
V'(w) = 0.
and:
V''(W) < 0
Where:
dV/dw = V'(w).
dV'/dw = V''(w)
Then first we need to differentiate the equation for the volume.
V'(w) = dV/dw = ( 3*(-3*w^2) + 2*(-6*w) + 105)
V'(w) = -9*w^2 - 12*w + 105.
Then we need to find the solution for:
-9*w^2 - 12*w + 105 = 0.
We can use the Bhaskara formula, and we will get:
[tex]w = \frac{+12 +-\sqrt{(-12)^2 - 4*(-9)*105} }{2*-9} = \frac{+12 +- 62.6}{-18}[/tex]
Then the two solutions are:
w₁ = (+12 - 62.6)/(-18) = 2.81
w₂ = (+12 + 62.6)/(-18) = -15.5
But we can not have a negative width, so we can just discard the second solution.
Now let's check the second condition for the maximum, we must have:
V''(2.81) < 0.
V'' = dV'/dw = 2*(-9*w) - 12 = -18*w - 12
V''(2.81) = -18*2.81 - 12 = -62.58 < 0 .
Then the volume is maximized when w = 2.81, and the maximum volume will be:
V(2.81) = (-3*(2.81)^3 - 6*(2.81)^2 + 105*2.81) = 180.1
Martine spent LaTeX: \frac{2}{3}2 3 of her money on a book. She has $6.50 left. How much did she spend on the book?
Answer:
4.33
Step-by-step explanation:
PLD HELP ME I WILL FAIL PLSx
Consider the isosceles triangle. left side (2x+8)units bottom of triangle (4x-10)units right side of triangle (2x+8) units Part A Which expression represents the perimeter of the triangle? a.(4z+16) units b.(6z−2)units c.(8z−16) units d.(8z+6) units
Complete Question
Consider the isosceles triangle. left side (2z+8)units, bottom of triangle (4z-10)units, right side of triangle (2z+8) units Part A Which expression represents the perimeter of the triangle? a.(4z+16) units b.(6z−2)units c.(8z−16) units d.(8z+6) units
Answer:
d. (8z + 6) units
Step-by-step explanation:
The formula for the Perimeter of a Triangle is :Side A + Side B + Side C
Hence,
(2z + 8)units + (4z - 10) units + (2z + 8)units
= (2z + 8 + 4z - 10 + 2z + 8)units
Collect like terms
= 2z + 4z + 2z + 8 - 10 + 8
= 8z + 6 units
The expression that represents the perimeter of the triangle is (8z +6) units
What are the steps to graphing y=-3x+1
Answer:
The equation is in the form of y = mx + b which make it really easy to graph.
m = the slope
b = the y-intercept
You can make the first point at the y-intercept.
Where x = 0 and y = 1, or plot the point ( 0, 1 ).
Next we use the slope to start plotting new points.
The slope is -3 which, in rise over run form, is [tex]\frac{-3}{1}[/tex]. Since -3 is negative we go down 3 units from the y-intercept and 1 to the right because it's positive. This makes a point at ( 1, -2 ). Then from that point go down 3 and 1 to the right again to get ( 2, -5 ).
We can continue using the slope to plot more points and then draw a continuous line through them to finish graphing the linear function.
1 5/27 as a decimal????
Answer:
1 5/27 = 32/27
= 1.1851851852
Round off the answer to two or three decimals points. I prefer two. So the answer is 1.19.
Thank you and please rate me as brainliest as it will help me to level up
We are to express a given fraction into a decimal.
A fraction is the ratio of two numbers usually with a numerator and the denominator separated by a horizontal bar in between them.
On the contrary, the division of the fraction will result in a decimal number(a standard system of representing fractions)
To divide;
[tex]\mathbf{=\dfrac{15}{27}}[/tex]
= 0.5556
Therefore, we can conclude that the fraction 15/27 in decimal = 0.5556
Learn more about fractions here:
https://brainly.com/question/6201432?referrer=searchResults
Answer pleaseeee??? Thanks
Answer:
FALSE
Step-by-step explanation:
DONE THIS
Find the value of x.
Answer:
The answer is X equals 17
write the negative integers you see on the number line above
Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?
9x + 4y = 36
6x + 2.5y = 24
Answer:
solving we get Solution set = {4,0}
Step-by-step explanation:
We are given system of equation:
[tex]9x + 4y = 36---eq(1)\\6x + 2.5y = 24---eq(2)[/tex]
Multiply eq(1) by 2 and eq(2) by -3
[tex]18x \ \ + 8y \ \ \ = 72\\-18x - 7.5y = -72\\---------\\0.5y=0\\y=0[/tex]
We get y=0,
Now finding x by putting value of y in eq(1)
[tex]9x + 4y = 36\\9x+4(o)=36\\9x=36\\x=\frac{36}{9}\\x=4[/tex]
So, solving we get Solution set = {4,0}
Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of rectangle A. Select all of the measurement pairs that could be the dimensions of rectangle B
A. 4.5 inches by 1.5
B. 8 inches by 2 inches
C. 10 inches by 4 inches
D. 13.5 inches by 4.5 inches
E. 90 inches by 30 inches
Answer:
a, d, e
Step-by-step explanation:
Please help somebody
Answer:
120ft/sec
Step-by-step explanation:
100 tiles were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile is 4.75 inches wide. If the tiles are going to all be lined next to each other, how many inches long will they cover along the walkway?
Answer:475 inches
Step-by-step explanation:
476 is the answer because:
100 * 4.75 = 475
*Therefore, the answer is 475 inches.
Hopefully this helps:)
5 cm
4 cm
6 cm
3D rectangle
Answer:
120
Step-by-step explanation:
I'm assuming your looking for the area (if not pls tell me and I will make corrections)
So to get the area of a 3D shape you multiply the length, width, and height
5×4×6=120
A bike wheel has a radius of 13 inches. 2a. i) About how far does the bike wheel travel in 1 rotation?
Answer:
it travels 13 inches in one rotation
When solving a system of two linear equations
algebraically, how can you tell if the system has exactly one
solution?
Answer:
When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.
Step-by-step explanation:
Got this from google hope it helps
If m∠BDC=(8x+12)° and m∠FDB=(12x−32)°, find m∠FDE.
The measure of angle FDE (m ∠FDE) is m ∠FDE = 92°
Measure of anglesFrom the question, we are to find the measure of angle FDE
In the given diagram, we can observe that
∠BDC + ∠FDB = 180° (Sum of angles on a line segment)
From the given information,
m ∠BDC = (8x+12)°
and
m ∠FDB = (12x−32)°,
Thus,
(8x+12)° + (12x−32)° = 180°
8x + 12 + 12x - 32 = 180
8x + 12x = 180 + 32 - 12
20x = 200
x = 200/20
x = 10
Now, we are to determine the measure of angle FDE (m ∠FDE)
In the diagram,
∠FDE = ∠BDC (Vertically opposite angles)
Thus,
m ∠FDE = (8x+12)°
Put the value of x into the equation
m ∠FDE = (8(10)+12)°
m ∠FDE = (80+12)°
m ∠FDE = 92°
Hence, the measure of angle FDE (m ∠FDE) is m ∠FDE = 92°
Here is the complete question:
Refer to the figure.
If m∠BDC=(8x+12)° and m∠FDB=(12x−32)°, find m∠FDE.
Learn more on Measure of angles here: https://brainly.com/question/16719487
#SPJ1
Is the answer A, B, C, or D???
Anna:
Because the principal amount deposited by Anna is compounded by 6% every year, the growth is exponential.
Answer: D. Brian and Kendra
At cooking school, Jamie's recipes turn out disastrous 1 out of every 4 times. If Jamie makes 32 dishes, how many will be a disaster?
Answer:
8 disasters
Step-by-step explanation:
We can write a proportion to solve this
1 disaster x disaster
---------------- = ------------------
4 tries 32 tries
Using cross products
1*32 = 4x
32 = 4x
Divide by 4
32/4 = 4x/4
8 =x
Answer:
The answer is 8 dishes will be a disaster.
Step-by-step explanation:
PLZ HELP, ILL GIVE BRAINLIEST
Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made.
−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25
Step 2: −7x = 23
Step 3: negative seven times x over seven = twenty-three over seven
Step 4: x = twenty-three over seven
Step 1: He should have added 25 to each side.
Step 1: He should have divided both sides by −7.
Step 3: He should have divided both sides by −7.
Step 3: He should have multiplied both sides by −7.
Answer:
Step 3: He should have divided both sides by -7.
Step-by-step explanation:
He divided by 7 not -7.
Hope this helps. Pls give brainliest.
What percent is 350 from 125
Answer:
35.71
Step-by-step explanation:
Which equation represents the line that passes through the points (-3, 7) and (3, 3)?
Answer: y = 2/3 (x + 3) +7
Step-by-step explanation:
1. Find the slope
Slope is found by the change in y over the change of x.
(7-3)/(3--3)
2. Evaluate
4/6
3. Simplify
2/3
4. Find a point to use in the equation, so you can write the equation in point, slope form. For this problem, I have chosen the provided point, (-3, 7)
Point slope form: y = m(x - x1) + y1
5. Plug the point into the equation
y = 2/3 (x + 3) +7
Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p, made from selling n candy bars.
p = 1.50n - 500
How many candy bars must be sold to make a profit of $700?
A.
134
B.
300
C.
800
D.
967
Answer:
800
Step-by-step explanation:
Answer:
C. 800
Step-by-step explanation:
p = 1.50n - 500
700 = 1.50n - 500
1200 = 1.50n
n = 800
what is the area of the trapezoid shown?
Answer:
74
Step-by-step explanation:
What is the correct answer for this?
will mark brainliest!!
Answer:
the answer is 5 i think
Step-by-step explanation:
dont come at me if i am wrong
Answer:
80 degrees I think
Step-by-step explanation:
Please give me the brainliest i only need two more to get expert
4=x+9
Need help thanks
Answer:
x = -5
Step-by-step explanation:
Original Equation:
4 = x + 9
Subtract 9 from both sides
-5 = x
So x = -5
Hope this helps :)
Please consider Brainliest :)
Answer:
-5
Step-by-step explanation:
instead of adding ur subtracting
9-4=-5