Answer:
The range is from 1.62 to 1.98.
Step-by-step explanation:
We have to solve for the percentage of the particular value if the range of the answer should be +/- 10% of the particular value.
The value given is 1.8, we thus want to find 10% of that: 1.8 * 10/100 = 0.18
Then, add this value to the original value of 1.8: 1.8+0.18 = 1.98
Furthermore, subtract .18 from from the original value of 1.8: 1.8-0.18 = 1.62
The range will be between these two numbers, so the range is from 1.62 to 1.98.
identify the system by type
Answer:
Inconsistent system
Step-by-step explanation:
Given
The attached graph
Required
The type of system
When two lines are parallel, it means they have the same slope and as such, the system has no solution.
Equations with the same slope are:
[tex]y = 2x + 6[/tex]
[tex]y = 2x- 8[/tex]
Both have a slope of 2
Such system are referred to inconsistent system.
Hence, (c) is correct.
Using the Fenske equation, calculate the number of theoretical plates for a fractional distillation set up used to separate Ethyl acetate (the more volatile component) from hexane (less volatile component) in a mixture with the following experimental data:
n=log(X/Xb) -log(Y a/Yb)/ log α Fenske Equation
Experimental data: l
The following are the data optained from injection of a 1-microliter sample of the equimolar stock solution used in the distillation experiment into a GČ. The percent of the area under the appropriate peak is idicated.
a = 1.6
GC results of the stock mixture used in the experiment
Component Rt (retention time) Percent Area
Ethyl acetate 1.09 53 82
Hexane 1.58 47 18
GC results of a 1-microliter sample after 3 mL had been collected:
Component Rt (retention time) Percent Area
Ethyl acetate 1.09 82
Hexane 1.58 18
a. 3.9
b. 7.2
c. 7.0
d. 3.0
Directions: Find each missing measure
Answer:
Q9: x = 27, Q10: x = 17
Step-by-step explanation:
Which of the following represents the ratio of the hypotenuse to the given
side?
Answer:
D. √2 : 1
Step-by-step explanation:
The hypotenuse = 4√2 (longest side of a right triangle)
The given side = 4
Ratio of the hypotenuse to the given side = 4√2 : 4
Simplify by dividing both numbers by 4
√2 : 1
Is f(x)=4x^2 linear,quadratic,or exponential
Answer:
Step-by-step explanation:
it is a quadratic function.
Calculate the difference and enter it below
-6 - 12
Answer:
-18
Step-by-step explanation:
Answer: -18 is the difference
Step-by-step explanation:
Evaluate = -18
6. Lerato wants to purchase a house
that costs R 850 000. She is required to
pay a 12% deposit and she will borrow
the balance from a bank. Calculate
the amount that Lerato must borrow
from the bank.
Answer:
J
Step-by-step explanation:
Answer: 748,000
Step-by-step explanation: Multiply 850,000 by 0.12 and you would get 102,000 then you would subract 102,000 from 850,000 getting 748,000
$2900 at 13% for 30 years. i need simple interest and compounding interest
Answer:
Step-by-step explanation:
simple:
2900(1+.13*30)=14210
Compounding
[tex]2900(1+.13)^{30}=113436.1041[/tex]
Answer:
113436.1041
Step-by-step explanation:
2900 ( 1 +0.13 ) ^ 30
Formula : amount ( 1 + percentage ) ^ years
find the exact value of 6cos(105°)
Answer:
[tex]-\frac{3(\sqrt{6}-\sqrt{2})}{2}\text{ or } \frac{-3\sqrt{6}+3\sqrt{2}}{2}}\text{ or }\frac{3(\sqrt{2}-\sqrt{6})}{2}[/tex]
Step-by-step explanation:
There are multiple ways to achieve and even express the exact answer to this problem. Because the exact value of [tex]6\cos(105^{\circ}})[/tex] is a non-terminating (never-ending) decimal, it does not have a finite number of digits. Therefore, you cannot express it as an exact value as a decimal, as you'd either have to round or truncate.
Solution 1 (Cosine Addition Identity):
Nonetheless, to find the exact value we must use trigonometry identities.
Identity used:
[tex]\cos(\alpha +\beta)=\cos \alpha \cos \beta-\sin \alpha \sin \beta[/tex]
Notice that [tex]45+60=105[/tex] and therefore we can easily solve this problem if we know values of [tex]\cos(45^{\circ})[/tex], [tex]\cos(60^{\circ})[/tex], [tex]\sin (45^{\circ})[/tex], and [tex]\sin(60^{\circ})[/tex], which is plausible as they are all key angles on the unit circle.
Recall from either memory or the unit circle that:
[tex]\cos(45^{\circ})=\sin(45^{\circ})=\frac{\sqrt{2}}{2}[/tex] [tex]\cos(60^{\circ})=\frac{1}{2}[/tex] [tex]\sin(60^{\circ})=\frac{\sqrt{3}}{2}[/tex]Therefore, we have:
[tex]\cos(105^{\circ})=\cos(45^{\circ}+60^{\circ}}),\\\cos(45^{\circ}+60^{\circ}})=\cos 45^{\circ}\cos 60^{\circ}-\sin 45^{\circ}\sin 60^{\circ},\\\cos(45^{\circ}+60^{\circ}})=\frac{\sqrt{2}}{2}\cdot \frac{1}{2}-\frac{\sqrt{2}}{2}\cdot \frac{\sqrt{3}}{2},\\\cos(105^{\circ})=\frac{\sqrt{2}}{4}-\frac{\sqrt{6}}{4},\\\cos(105^{\circ})={\frac{-\sqrt{6}+\sqrt{2}}{4}}[/tex]
Since we want the value of [tex]6\cos 105^{\circ}[/tex], simply multiply this by 6 to get your final answer:
[tex]6\cdot {\frac{-\sqrt{6}+\sqrt{2}}{4}}=\frac{-3\sqrt{6}+3\sqrt{2}}{2}}=\boxed{\frac{3(\sqrt{2}-\sqrt{6})}{2}}[/tex]
Solution 2 (Combination of trig. identities):
Although less plausible, you may have the following memorized:
[tex]\sin 15^{\circ}=\cos75^{\circ}=\frac{\sqrt{6}-\sqrt{2}}{4},\\\sin 75^{\circ}=\cos15^{\circ}=\frac{\sqrt{6}+\sqrt{2}}{4}[/tex]
If so, we can use the following trig. identity:
[tex]\cos(\theta)=\sin(90^{\circ}-\theta)[/tex] (the cosine of angle theta is equal to the sine of the supplement of angle theta - the converse is also true)
Therefore,
[tex]\cos (105^{\circ})=\sin (90^{\circ}-105^{\circ})=\sin(-15^{\circ})[/tex]
Recall another trig. identity:
[tex]\sin(-\theta)=-\sin (\theta)[/tex] and therefore:
[tex]\sin (-15^{\circ})=-\sin (15^{\circ})[/tex]
Multiply by 6 to get:
[tex]6\cos (105^{\circ})=-6\sin (15^{\circ})=-6\cdot \frac{\sqrt{6}-\sqrt{2}}{4}=\boxed{-\frac{3(\sqrt{6}-\sqrt{2})}{2}}[/tex] (alternative final answer).
Solve using the elimination method. 2x + 7y = 36
6x - 7y = - 60
Answer:
[tex]x=-3[/tex]
[tex]y=6[/tex]
Step-by-step explanation:
Elimination method:
[tex]2x+7y=36[/tex]
[tex]6x-7y=-60[/tex]
Add these equation to eliminate y:
[tex]8x=-24[/tex]
Then solve [tex]8x=-24[/tex] for x:
[tex]8x=-24[/tex]
[tex]\frac{8x}{8} =\frac{-24}{8}[/tex]
[tex]x=-3[/tex]
Add the value of x to solve y:
[tex]2x+7y=36[/tex]
Substitute [tex]-3[/tex] for x in [tex]2x+7y=36[/tex]
[tex](2)(-3)+7y=36[/tex]
[tex]7y-6=36[/tex]
[tex]7y=36+6[/tex]
[tex]7y=42[/tex]
[tex]y=42/7\\[/tex]
[tex]y=6[/tex]
{ [tex]x=-3[/tex] and [tex]y=6[/tex] }
hope this helps....
On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour. Let X be the number of arrivals per hour on a weekend night at this hospital. Assume that successive arrivals are random and independent. What is the probability P(X < 3)?
Answer:
P(X < 3) = 0.14254
Step-by-step explanation:
We have only the mean, which means that the Poisson distribution is used to solve this question.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour.
This means that [tex]\mu = 4.8[/tex]
What is the probability P(X < 3)?
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-4.8}*4.8^{0}}{(0)!} = 0.00823[/tex]
[tex]P(X = 1) = \frac{e^{-4.8}*4.8^{1}}{(1)!} = 0.03950[/tex]
[tex]P(X = 2) = \frac{e^{-4.8}*4.8^{2}}{(2)!} = 0.09481[/tex]
So
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00823 + 0.03950 + 0.09481 = 0.14254[/tex]
P(X < 3) = 0.14254
Please show process!!!!
THANK YOU!
Will mark brainylist
Answer: 103 degrees
Step-by-step explanation:
51 + 26 = 77
A triangle adds up to 180 degrees
180 - 77 = 103
= 103 degrees
Two positive integers are 3 units apart on a number line. Their product is 108.
Which equation can be used to solve for m, the greater integer?
m(m – 3) = 108
m(m + 3) = 108
(m + 3)(m – 3) = 108
(m – 12)(m – 9) = 108
Answer:
m(m – 3) = 108
The correct equation can be used to solve for m, the greater integer is,
⇒ m (m - 3) = 108
We have to given that,
Two positive integers are 3 units apart on a number line.
And, Their product is 108.
Let us assume that,
In a number line, first point is m
Then, Second point is, m - 3
So, We get;
The correct equation can be used to solve for m, the greater integer is,
⇒ m (m - 3) = 108
Learn more about the equation visit:
brainly.com/question/28871326
#SPJ7
Find the volume (in cubic yards) of a cylinder with radius 1.2 yards and height 2.9 yards. (Round your answer to one decimal place.)
Answer:
11.8 yd³
Step-by-step explanation:
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May , ). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,400 1,309 Total Rooms 1,750 1,700 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let population proportion of rooms occupied for current year population proportion of rooms occupied for previous year - Select your answer - - Select your answer - b. What is the estimated proportion of hotel rooms occupied each year (to decimals)
Answer:
H1 : P1 - P2 = 0
H1 : P1 - P2 > 0
Step-by-step explanation:
The test to be performed on the given data is ; difference in proportion ;
P1 = proportion od rooms in current year
P2 = proportion of rooms
The null hypothesis ``, H0 : p1 - p2 (this onstage null hypothesis and it is the initial truth, representing the notion that no difference in proportion exists.
H1 : P1 - P2 = 0
The alternative hypothesis takes takes the side that there is an increase on proportion of rooms occupied :
H1 : P1 - P2 > 0
Given right angle ABC, what the value of tan(A)?
5/13
12/13
12/5
13/12
need answer asap
Hi there!
[tex]\large\boxed{12/5}}[/tex]
tan (angle) = Opposite side / Adjacent side, so:
Tan (A) = opposite side / adjacent side
= 24 / 10
Simplify:
= 12 / 5
If the domain of the coordinate transformation (, ) = ( + 2,− − 4) is (1, -4), (3, -2), (0, −1), what is the range?
A. (-2, -5), (0, -7), (1, -4)
B. (0, 3), (-2, 5), (-3, 2)
C. (3, 0), (5, -2), (2, -3)
D. (-5, -2), (-7, 0), (-4, 1)
Answer:
A. (-2, -5), (0, -7), (1, -4)
Step-by-step explanation:
The following transformation is applied:
[tex](x,y) \rightarrow (y + 2, -x - 4)[/tex]
To find the range:
We apply the transformation to the points in the domain. Thus:
[tex](1,-4) \rightarrow (-4 + 2, -1 - 4) = (-2, -5)[/tex]
[tex](3,-2) \rightarrow (-2 + 2, -3 - 4) = (0, -7)[/tex]
[tex](0,-1) \rightarrow (-1 + 2, 0 - 4) = (1, -4)[/tex]
Thus the correct answer is given by option a.
Sixty-five percent of men consider themselves knowledgeable soccer fans. If 10 men are randomly selected, find the probability that exactly seven of them will consider themselves knowledgeable fans. Round to the nearest thousandth.
0.700
0.65
0.252
0.021
Answer:
.252
Step-by-step explanation:
[tex]{10\choose7}*.65^7*(1-.65)^3=.252219625[/tex]
Jonas builds a snow fort. He tells his friends it is 0.8 meters tall inside, but he rounded the height to the nearest tenth.
Which could be the height of the snow fort before Jonas rounded it?
2 answers
A. 0.85
B. 0.82
C. 077
Answer:
B. 0.82
C. 077
Step-by-step explanation:
Given
[tex]Number = 0.8[/tex] -- approximated
Required
The possible value of Number
Since [tex]Number = 0.8[/tex] is approximated, then the possible values of Number that can be gotten from the preparation
The approximated value 0.8 has the following range: 0.75 to 0.84
Options B and C are in this category.
Find the product (-3/5) (-2/9)
Answer:
2/15
Step-by-step explanation:
(-3/5) (-2/9)
Rewriting
-3/9 * -2/5
-1/3 * -2/5
A negative times a negative is a positive.
2/15
can anyone help me and explain
Answer:
cf
=41
5 f-46
Step-by-step explanation:
thiis is the answer
Answer:
To find the inverse, switch the y(F(C)) and the x(C) variables.
So this function:
[tex]y=\frac{9}{5}x+32 \\[/tex]
Will become this function:
[tex]x=\frac{9}{5}y+32 \\[/tex]
You will then solve for y:
[tex]x=\frac{9}{5}y+32 \\x-32=\frac{9}{5}y\\5(x-32)=5(\frac{9}{5}y)\\5x-160=9y\\y=\frac{5x-160}{9}\\y=\frac{5x}{9}-\frac{160}{9}[/tex]
Substitute in the variables of this problem:
[tex]C(F)=\frac{5C}{9}-\frac{160}{9}[/tex]
in the diagram below, BD is parallel to XY. what is the value of y?
a. 70
b. 130
c. 110
d. 20
I can't see the diagram sorry.
Step-by-step explanation:
Is there supposed to be a picture attached?
(b) Two fair dice are tossed, and the up face on each die is recorded. Find the probability of
observing each of the following events:
A: (A 4 does not appear on either die)
B: The difference of the numbers is 2 or less)
(The sum of the numbers is odd)
P(A) =
(07 Marks)
(
P(B)
(07 Marks)
G)
(07 Marks)
ses
P(C)
Answer:
50% chance
Step-by-step explanation:
lol math go brrr
Which simplified fraction is equal to 0.53? Need answers now plz
Answer:
8/15
Step-by-step explanation:
Answer:
8/15
Step-by-step explanation:
when you divide 8/15 its 0.53
A meteorologist preparing a talk about global warming compiled a list of weekly low temperatures (in degrees Fahrenheit) he observed at his southern Florida home last year. The coldest temperature for any week was 36°F, but he inadvertently recorded the Celsius value of 2°. Assuming that he correctly listed all the other temperatures, explain how this error will affect these summary statistics:a) measures of center: mean and median.b) measures of spread: range, $IQR,$ and standard deviation.
Answer:
nr.herkyrsfdlufshfsyfs
Step-by-step explanation:
dsfsyfksutryrysyrslufzmfyzydzufmzmhfzl
hdhfuthfzhkrskyrsgj
Find the volume of the box. The box shows the length is 6 feet, the width is 5 feet, and the height is 3 feet. The volume of the box is blank cubic feet. The solution is
Answer:
[tex]90[/tex] [tex]ft^3[/tex]
Step-by-step explanation:
----------------------------------------
The formula to find the volume of a rectangular prism is [tex]V=lwh[/tex]
Let's substitute the number for the length, width, and height now.
[tex]V=(6)(5)(3)[/tex]
[tex]V=(30)(3)[/tex]
[tex]V=90[/tex]
--------------------
Hope this is helpful.
If the profits in your consulting business increase by 8% one year and decrease by 2% the following year, your profits are up by 6% over two years.
Answer:
not true....
assume $100 start.
in year 1 you are at $108 (up 8%)
in year 2 $108(.98) ... that is 2% down = 105.84...
thus your profit is up only 5.84% over the two years
Step-by-step explanation:
A random sample of 20 individuals who graduated from college five years ago were asked to report the total amount of debt (in $) they had when they graduated from college and the total value of their current investments (in $) resulting in the data set below.
Debt Invested
16472 37226
19048 33930
4033 66292
22575 24887
12020 44976
4731 59924
4571 59901
Which statement best describes the relationship between these two variables?
a. As college debt decreases current investment decreases.
b. College debt is not associated with current investment.
c. As college debt increases current investment decreases.
d. As college debt increases current investment increases.
Answer:
The answer is "Option c".
Step-by-step explanation:
Please find the complete question and its solution in the attached file.
what is the formula for perimeter of a square
Answer: P = 4s
Step-by-step explanation:
P = 4s where s = the length of each side.
Since each side of a square is the same length, the side length is multiplied by 4.
Using the graph below, if f(x) = 4, find x.
