Answer:
[tex] W = \frac {V}{LH} [/tex]
Step-by-step explanation:
Let the length of the rectangle be LLet the width of the rectangle be WLet the height of the rectangle be HMathematically, the volume of a rectangular solid is given by the formula;
V = L * W * H
V = LWH
Making W the subject of formula, we have;
[tex] W = \frac {V}{LH} [/tex]
Round 620 to the nearest ten! Hurry please and please don't answer if you know you wrong !
Answer:
620 to the nearest ten is already rounded correctly.
Step-by-step explanation:
620 to the nearest ten is 620.
the voltage in a lightbulb is given by the equation V= IR. in this equation V is the voltage, I is the current , and R is the resistance. what is the current in a lightbulb with a voltage of 35.0 V and a resistance of 175
Answer:
a
Step-by-step explanation:
PLEASE HELP :) I will give all points
answer choice a
x^2 - 5x - 1 = 0
a=1, b=-5, and c=-1
next you plug in the numbers into the quadratic formula
-(-5) plus or minus the square root of (-5)^2 - 4(1)(-1)/ 2(1)
after you simply, you should get 5 plus or minus the square root of 29, which is answer choice a
Select the correct answer.
Which is the simplified form of the expression ?
Answer:
a) b^5/12
Step-by-step explanation:
b^2/3 ÷ b^1/4 [if bases are the same then subtract the exponents]
2/3 - 1/4 = 5/12
A motel in New Orleans charges $90 per day for double occupancy and $80 per day for single occupancy during off-season. If 80 rooms are occupied for a total of $6,930, how many rooms of each kind are occupied?
double occupancy room=x
single occupancy room=y
x + y = 80,
90x + 80y = 6930
x=53
y=27
evaluate the expression when b=3
y = -7
4b-y
Answer:
5
Step-by-step explanation:
Given :
b = 3 y = -7To Find :
Value of 4b - y .Solution:
Put on the respective values ,
⇒ 4b - y = 4 × 3 - 7
⇒ 4b - y = 12 - 7
⇒ 4b - y = 5
Hence the required answer is 5 .
Answer: 5
Step-by-step explanation:
We can plug in the numbers for variables. So, our new equation would becomes 4x3-7. We first evaluate 4x3=12. Then, 12-7=5. Hence, your answer is 5.
Standardized tests: In a particular year, the mean score on the ACT test was 22.5 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 526 and the standard deviation was 101. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Core for an ACT score of 16. The z-score for an ACT score of 16 is Jose's ACT score had a -score of . What was his ACT score?
Answer:
The z-score for an ACT score of 16 is -1.23.
His ACT score was of [tex]X = 22.5 + 5.3Z[/tex], considering that Z is his z-score.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
ACT:
Mean of 22.5, standard deviation of 5.3, so [tex]\mu = 22.5, \sigma = 5.3[/tex]
The z-score for an ACT score of 16 is
Z when x = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 22.5}{5.3}[/tex]
[tex]Z = -1.23[/tex]
The z-score for an ACT score of 16 is -1.23.
Jose's ACT score had a Z-score of Z. What was his ACT score?
This is X, considering Z his z-score. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - 22.5}{5.3}[/tex]
[tex]X - 22.5 = 5.3Z[/tex]
[tex]X = 22.5 + 5.3Z[/tex]
His ACT score was of [tex]X = 22.5 + 5.3Z[/tex], considering that Z is his z-score.
Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the data speed 6.7 Mbps0.2
0.5
1.1
2.7 0.35.60.51.12.55.00.30.51.22.78.20.30.51.22.79.60.30.51.63.210.60.30.61.63.413.00.30.62.13.614.10.40.72.13.815.10.40.82.34.015.20.4l.O2.44.030.4
Answer:
The answer is "58th %".
Step-by-step explanation:
2.4 Mbps in the sort data set is the 30th data point. Therefore 29 numbers out of 50 are less than 2.4 Mbps.
[tex]=\frac{29}{50} = 0.58 =58\%\\\\[/tex]
The X-th percent is just the same as x% below the percent and thus 2,4 Mpbs corresponds to a 58th percent.
he parent function f(x) = x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions represented by graph B and graph C.
Graph B represents the function g(x) =
.
Graph C represents the function h(x) =
.
A factory produces 80 % round and 20 % square buttons. Suppose that 10 % of theround buttons and 50 % of the square buttons are red. What is the probability that arandomly selected red button is square?
Answer:
5/9
Step-by-step explanation:
Let the total number of buttons is x.
Round buttons = 80% of x = 0.8xSquare buttons = 0.2xNumber of red buttons:
0.1*0.8x + 0.5*0.2x = 0.08x + 0.1x = 0.18xNumber of red square buttons is 0.1x
Required probability:
P = 0.1x/0.18x = 10/18 = 5/9Can someone please help me with this math problem.
Answer:
8 + 30 ÷ 2 + 4 = 27
8 + 30 ÷ (2 + 4 ) = 13
(8 + 30) ÷ 2 + 4 = 23
Step-by-step explanation:
A display case of toy rings are marked 5 for $1. If Zach wants to buy 50 toy rings, how much will Zach spend (not including tax)
9514 1404 393
Answer:
$10
Step-by-step explanation:
Price is proportional to the number of rings, so Zack will spend D dollars, where ...
dollars/rings = D/50 = 1/5
D = 50/5 = 10
Zack will spend $10 to buy 50 toy rings.
Barry and Robin walk to Dunkin' Donuts each Saturday to meet for coffee and donuts. Barry walks the 2 miles from his house in 30 minutes and Robin walks the 3 miles from his house in 36 minutes. Find the unit rate in minutes per mile for Barry. Find the unit rate in minutes per mile for Robin. Who walks faster, Barry or Robin
Answer : barry
12<15
Barry's unit rate is 15 minutes per mile and Robin's unit rate is 12 minutes per mile
The unit rates of Barry and RobinWe have:
Barry
Distance = 2 miles
Time = 30 minutes
Unit rate = Time/Distance
Unit rate = 30 minutes/2 miles
Unit rate = 15 minutes per mile
Robin
Distance = 3 miles
Time = 36 minutes
Unit rate = Time/Distance
Unit rate = 36 minutes/3 miles
Unit rate = 12 minutes per mile
Hence, Barry's unit rate is 15 minutes per mile and Robin's unit rate is 12 minutes per mile
Who walk faster?The unit rates mean that:
Barry covers 1 mile in 15 minutesRobin covers 1 mile in 12 minutesHence, Robin walks faster
Read more about unit rates at:https://brainly.com/question/19493296
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For all positive integers n, let *n* equal the greatest prime number that is a divisor of n. What does *10*/*12* equal?
9514 1404 393
Answer:
5/3
Step-by-step explanation:
The prime factorizations are ...
10 = 2·5
12 = 2·2·3
Then *10* = 5 and *12* = 3, so *10*/*12* = 5/3.
A polynomial function has a root of -6 with multiplicity 1, a root of -2 with multiplicity 3, a root of 0 with multiplicity 2, and a
root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about
the graph is true?
O The graph of the function is positive on (-6, -2).
O The graph of the function is negative on (-0, 0).
O The graph of the function is positive on (-2, 4).
O The graph of the function is negative on (4.co).
9514 1404 393
Answer:
(a) the graph is positive on (-6, -2)
Step-by-step explanation:
The roots, left to right, are ...
-6, -2, 0, 4
The odd-multiplicity roots, where the sign changes, are ...
-6, -2, 4
The function is negative to the left of -6, and positive to the right of +4. It is positive on the interval (-6, -2) and negative on the intervals (-2, 0) and (0, 4).
Answer:it’s a!!!
edge please stop deleted my answer ;)
Step-by-step explanation:
Lion Transformations: Mastery Test
3
Select the correct answer.
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x + 7?
OA. It is the graph of y= x translated 7 units up.
OB. It is the graph of y = x where the slope is increased by 7.
Oc.
It is the graph of y= x translated 7 units to the right.
OD. It is the graph of y= x translated 7 units down.
Reset
Next
It is the graph of y= x translated 7 units up.
+7 in the function means it crosses the y axis at +7
The statement correctly describes the graph of y= x + 7 is y= x translated 7 units up.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have a function y = x.
and, a translated function y= x + 7
Here, The plus 7 at the end will shift the graph 7 units up.
It also means the the function cut the y axis at +7.
Thus, It is the graph of y= x translated 7 units up.
Learn more about Transformation here:
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x - 3y +3=0
a) The length of the perpendicular drawn from the point (a, 3) on the line
3x + 4y + 5 = 0 is 4. Find the value of a.
Answer:
We know that for a line:
y = a*x + b
where a is the slope and b is the y-intercept.
Any line with a slope equal to -(1/a) will be perpendicular to the one above.
So here we start with the line:
3x + 4y + 5 = 0
let's rewrite this as:
4y = -3x - 5
y = -(3/4)*x - (5/4)
So a line perpendicular to this one, has a slope equal to:
- (-4/3) = (4/3)
So the perpendicular line will be something like:
y = (4/3)*x + c
We know that this line passes through the point (a, 3)
this means that, when x = a, y must be equal to 3.
Replacing these in the above line equation, we get:
3 = (4/3)*a + c
c = 3 - (4/3)*a
Then the equation for our line is:
y = (4/3)*x + 3 - (4/3)*a
We can rewrite this as:
y = (4/3)*(x -a) + 3
now we need to find the point where this line ( y = -(3/4)*x - (5/4)) and the original line intersect.
We can find this by solving:
(4/3)*(x -a) + 3 = y = -(3/4)*x - (5/4)
(4/3)*(x -a) + 3 = -(3/4)*x - (5/4)
(4/3)*x - (3/4)*x = -(4/3)*a - 3 - (5/4)
(16/12)*x - (9/12)*x = -(4/3)*a - 12/4 - 5/4
(7/12)*x = -(4/13)*a - 17/4
x = (-(4/13)*a - 17/4)*(12/7) = - (48/91)*a - 51/7
And the y-value is given by inputin this in any of the two lines, for example with the first one we get:
y = -(3/4)*(- (48/91)*a - 51/7) - (5/4)
= (36/91)*a + (153/28) - 5/4
Then the intersection point is:
( - (48/91)*a - 51/7, (36/91)*a + (153/28) - 5/4)
And we want that the distance between this point, and our original point (3, a) to be equal to 4.
Remember that the distance between two points (a, b) and (c, d) is:
distance = √( (a - c)^2 + (b - d)^2)
So here, the distance between (a, 3) and ( - (48/91)*a - 51/7, (36/91)*a + (153/28) - 5/4) is 4
4 = √( (a + (48/91)*a + 51/7)^2 + (3 - (36/91)*a + (153/28) - 5/4 )^2)
If we square both sides, we get:
4^2 = 16 = (a + (48/91)*a + 51/7)^2 + (3 - (36/91)*a - (153/28) + 5/4 )^2)
Now we need to solve this for a.
16 = (a*(1 + 48/91) + 51/7)^2 + ( -(36/91)*a + 3 - 5/4 + (153/28) )^2
16 = ( a*(139/91) + 51/7)^2 + ( -(36/91)*a - (43/28) )^2
16 = a^2*(139/91)^2 + 2*a*(139/91)*51/7 + (51/7)^2 + a^2*(36/91)^2 + 2*(36/91)*a*(43/28) + (43/28)^2
16 = a^2*( (139/91)^2 + (36/91)^2) + a*( 2*(139/91)*51/7 + 2*(36/91)*(43/28)) + (51/7)^2 + (43/28)^2
At this point we can see that this is really messy, so let's start solving these fractions.
16 = (2.49)*a^2 + a*(23.47) + 55.44
0 = (2.49)*a^2 + a*(23.47) + 55.44 - 16
0 = (2.49)*a^2 + a*(23.47) + 39.44
Now we can use the Bhaskara's formula for quadratic equations, the two solutions will be:
[tex]a = \frac{-23.47 \pm \sqrt{23.47^2 - 4*2.49*39.4} }{2*2.49} \\\\a = \frac{-23.47 \pm 12.57 }{4.98}[/tex]
Then the two possible values of a are:
a = (-23.47 + 12.57)/4.98 = -2.19
a = (-23.47 - 12.57)/4.98 = -7.23
The annual demand for a product is 16,400 units. The weekly demand is 315 units with a standard deviation of 90 units. The cost to place an order is $31.00, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.20 per unit.
a. Find the reorder point necessary to provide a 95 percent service probability.
b. Suppose the production manager is asked to reduce the safety stock of this item by 55 percent. If she does so, what will the new service probability be?
Answer:
a) The reorder point necessary to provide a 95 percent service probability is 1557 units.
b) The Z value of 0.74 corresponds to 77% service probability.
Step-by-step explanation:
Average weekly demand (d) = 315 units
The standard deviation of weekly demand (\sigmad) = 90 units
Lead time (L) = 4 weeks
At 95% service level value of Z = 1.65
Reorder point = d x L + safety stock
[tex]= d \times L + (Z \times \sigma d \times \sqrt L)\\\\= 315 x 4 + (1.65 x 90 x \sqrt 4)\\\\= 1260 +(1.65 x 90 x 2)\\\\= 1260 + 297\\\\= 1557 units[/tex]
b) Earlier the safety stock was 297 units(calculated in part a)
Now the safety stock is reduced to 55%.so,55% of 297 = 163.35 units
So the new safety stock = 297 - 163.35 = 133.65
[tex]Safety stock = Z \times \sigma d \times \sqrt L\\133.65 = Z x 90 x 2\\133.65 = 180Z\\ Z = 133.65/180\\Z = 0.74[/tex]
The Z value of 0.74 corresponds to 77% service probability.
Find the interquartile range of the data set represented by this box plot.
25
20
45
35
Answer:
25
Step-by-step explanation:
im pretty sure i think only ok i think no saying bad things in the comment
Respond to each of the four questions.
Describe the steps to graphing a linear equation. Be sure to provide an example to illustrate your description.
Describe the steps to graphing a quadratic equation. Be sure to provide an example to illustrate your description.
Describe how to solve a linear equation. Be sure to provide an example to illustrate your description.
Describe how to solve a quadratic equation. Be sure to provide an example to illustrate your description.
Answer:hello
Step-by-step explanation:
1+1
Tell whether ΔABC and ΔDCB can be proven congruent.
A. Yes, ΔABC and ΔDCB can be proven congruent by SSS.
B. Yes, ΔABC and ΔDCB can be proven congruent by HL.
C. No, ΔABC and ΔDCB aren’t congruent because they share a side.
D. No, there isn’t enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.
Answer:
D. No, there isn’t enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.
A decorative wall in a garden is to be built using bricks that are 5 1/2 inches thick and mortar joints are 1/4 inch thick. What is the height of the wall?
Step-by-step explanation:
SAVE
HOME HACKS & ANSWERSBUILDING & REMODELINGWALLS
How to Calculate How Many Bricks to Build a Wall
By KELVIN O'DONAHUE
Hunker may earn compensation through affiliate links in this story.
...
To estimate the number of bricks needed to build a wall, first measure a single brick.
A wall built from brick not only adds security and strength to your property, it also provides a pleasing geometric backdrop for the landscaping. Because of the bricks' size and weight, homeowners generally arrange to have the amount needed for a large project delivered by the masonry company or lumberyard. Doing so requires that you estimate the number of bricks needed before placing the order.
Step 1
Measure the length and thickness of one of the bricks that will be used in the wall. A standard brick is 2-1/4 inches wide and 7-1/2 to 8 inches long. Add 1/2 inch to both the length and thickness to account for the mortar joint between adjacent bricks. For example, a brick that is 2-1/4 inches by 7-1/2 inches, plus mortar joints, will occupy 2 3/4 inches by 8 inches.
Step 2
Measure the length of the space for the wall and convert the number to inches. Divide the length in inches by the length of a brick plus mortar joint. For example, a wall 36 feet, 8 inches long is 440 inches long (36 X 12 = 432 + 8 = 440). Each course (single layer) of bricks will need 440 / 8 = 55 bricks.
SAVE
HOME HACKS & ANSWERSBUILDING & REMODELINGWALLS
How to Calculate How Many Bricks to Build a Wall
By KELVIN O'DONAHUE
Hunker may earn compensation through affiliate links in this story.
...
To estimate the number of bricks needed to build a wall, first measure a single brick.
A wall built from brick not only adds security and strength to your property, it also provides a pleasing geometric backdrop for the landscaping. Because of the bricks' size and weight, homeowners generally arrange to have the amount needed for a large project delivered by the masonry company or lumberyard. Doing so requires that you estimate the number of bricks needed before placing the orderStep 3
Determine the desired height of the wall in inches, and divide the height by the thickness of a brick and mortar joint. For example, a wall 72 inches tall requires 26.18 courses of 2-3/4-inch-wide bricks; rounded up to 27 courses.
Step 4
Multiply the number of bricks per course (55) by the number of courses (27) to obtain the number of bricks in a single-thickness wall or veneer. For our example, the number is 1,485 bricks. Double that number for a double-thickness wall. Bricklayers generally add 5 percent to the estimate to cover broken or wasted bricks, for about 1,560 bricks in this case
Given that the area of a triangle ABC is 4.5 m², a=4, b=3, find two possible measures for angle C. Round your answer to the nearest tenth
Answer:
[tex]C = 48.6[/tex]
Step-by-step explanation:
Given
[tex]Area= 4.5m^2[/tex]
[tex]a =4[/tex]
[tex]b = 3[/tex]
Required
Find angle C
The area of the triangle will be calculated using:
[tex]Area = \frac{1}{2}ab \sin C[/tex]
So, we have:
[tex]4.5= \frac{1}{2} * 4 * 3 * \sin C[/tex]
[tex]4.5= 6 * \sin C[/tex]
Divide both sides by 6
[tex]0.75= \sin C[/tex]
Take arc sin of both sides
[tex]\sin^{-1}(0.75)= C[/tex]
[tex]48.6 = C[/tex]
[tex]C = 48.6[/tex]
Suppose f(x)=x^2 and g(x)=(1/2x)^2. Which statement best compares the graph of g(x) with the graph of f(x)?
Answer:
"A"
Step-by-step explanation:
Can someone please help me
Answer:
sorry I can't help you sorry
Answer:
c
Step-by-step explanation:
A reflection in the x- axis of the parent function is - [tex]\sqrt{x}[/tex]
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 3 units up , then
g(x) = - [tex]\sqrt{x}[/tex] + 3
how many numbers divisible by 5 are possible, show your calculation. (Its a other language so dont look at the text)
I need help :)What’s m
Answer:
[tex] \large{ \tt{❃ \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]
[tex] \large{ \tt{⇢m \: \angle \: GHI= m \: \angle \: GHQ + m \: \angle \: QHI}}[/tex]
[tex] \large{ \tt{➝14x + 6 = 3x - 3 + 130 \degree}}[/tex]
[tex] \large{ \tt{➝14x + 6 = 3x + 127}}[/tex]
[tex] \large{ \tt{➝ \: 14x - 3x = 127 - 6}}[/tex]
[tex] \large{ \tt{➝ \: 11x = 121}}[/tex]
[tex] \large{ \tt{➝ \: x = \frac{121}{11} }}[/tex]
[tex] \large{ \tt{➝ \: x = 11}}[/tex]
[tex] \large{ \tt{✣ \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{✺ \: m \: \angle \: GHI = 14x + 6 = 14 \times 11 + 6 = \boxed{ \tt{160 \degree}}}}[/tex]
Our final answer : 160° . Hope I helped! Let me know if you have any questions regarding my answer! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Researchers study the relationship between interpersonal violence and health in college age women. The selected an alpha of 0.05. The researchers examined the average score on a psychological distress scale and compared the score for abused versus non abused women. A p value of 0.016 is reported. Based on this information, you know:
Answer:
There exists a relationship between interpersonal violence and health.
Step-by-step explanation:
The relationship between interpersonal violence and health :
The null hypothesis will be ; the is no relationship between interpersonal violence and health while the alternative will negate the Null ;
If no relationship exists, correlation Coefficient = 0 and if a relationship exists, then correlation Coefficient is not = 0
H0 : ρ = 0
H1 : ρ ≠ 0
α = 0.05
Reported Pvalue = 0.016
Decison region :
Reject H0 ; If Pvalue < α
Therefore, Since Pvalue < α ; we reject H0 and conclude that there exists a relationship between interpersonal violence and health.
The durations (minutes) of 26 electric power outages in Shah Alam over the past five years are shown below. 32 44 25 66 27 12 62 9 51 4 17 50 35 99 30 21 12 53 25 2 18 24 84 30 17 17 (a) Find the mean, median and mode.
Answer:
Mean = 33.31
Median = 26
Mode = 17
Step-by-step explanation:
Given the data:
32 44 25 66 27 12 62 9 51 4 17 50 35 99 30 21 12 53 25 2 18 24 84 30 17 17
Reordered data : 2, 4, 9, 12, 12, 17, 17, 17, 18, 21, 24, 25, 25, 27, 30, 30, 32, 35, 44, 50, 51, 53, 62, 66, 84, 99
The mean, xbar = Σx / n = 866 /26 = 33.31
The median = 1/2(n+1)th term
Median = 1/2(27)th term = 13.5th term
Median = (13 + 14)th / 2
Median = (25 + 27) / 2 = 26
The mode = 17 (highest frequency)
what is the measure of an angle if it is 120 less than 5 times its own complement
Answer:
The measure of the angle is 55º.
Step-by-step explanation:
Complement of angle x:
If two angles are complementary, the sum of their measures is of 90º. Thus, the complement of an angle x is 90 - x.
In this question:
Angle is 120 less than 5 times its own complement, so:
[tex]x = 5(90 - x) - 120[/tex]
We have to solve for x
[tex]x = 450 - 5x - 120[/tex]
[tex]6x = 330[/tex]
[tex]x = \frac{330}{6}[/tex]
[tex]x = 55[/tex]
The measure of the angle is 55º.