Answer:
x = 45
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
Move the variable to the left
3.1 Simplify the following ratios:
3.1.1 500g: 3 kg
- 15
Answer:
1g:6g-15
Step-by-step explanation:
The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents.
(a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states.
(b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?
Step-by-step explanation:
We start by stating the null hypothesis
H0: p1 = p2
No difference is existent
H1: p2 not equal to p2
There is a difference
We find the z statistic using microsoft excel or using the formula in the attachment
= -1.68
From the normal table, p value = 0.099
The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference
B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.
Condense the log equation: 4 log x + log y - 5 log z
Answer:
The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]
Step-by-step explanation:
We use these following logarithm properties to solve this question:
[tex]a\log{x} = \log{x^a}[/tex]
[tex]\log{a} + \log{b} = \log{ab}[/tex]
[tex]\log{a} - \log{b} = \log{\frac{a}{b}}[/tex]
In this question:
[tex]4\log{x} = \log{x^4}[/tex]
[tex]5\log{5} = \log{z^5}[/tex]
So
[tex]4\log{x} + \log{y} - 5\log{z}[/tex]
Becomes:
[tex]\log{x^4} + \log{y} - \log{z^5}[/tex]
Now applying the addition and subtraction properties, we have:
[tex]\log{\frac{x^4y}{z^5}}[/tex]
The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]
The question that is asked...
Solve using Cramer's rule. 3x + 2y = 5
x + 3y = 4
i need an answer ASAP
By applying Cramer's rule as solution method, the solution of the linear system 3 · x + 2 · y = 5 and x + 3 · y = 4 is equal to the set (x, y) = (1, 1).
How to solve a system of two linear equations with two variables
Determinants are constructions studied in linear algebra and related to matrices, one of the most common applications of determinants is the solution of linear equations, whose simplest form is known as the Cramer's rule.
Now we proceed to use this rule to get the solution of the linear system:
[tex]x = \frac{\left|\begin{array}{cc}5&2\\4&3\end{array}\right| }{\left|\begin{array}{cc}3&2\\1&3\end{array}\right|}[/tex]
[tex]x = \frac{(5)\cdot (3)-(4)\cdot (2)}{(3)\cdot (3) -(1)\cdot (2)}[/tex]
x = 1
[tex]y = \frac{\left|\begin{array}{cc}3&5\\1&4\end{array}\right| }{\left|\begin{array}{cc}3&2\\1&3\end{array}\right|}[/tex]
[tex]y = \frac{(3)\cdot (4) - (5)\cdot (1)}{(3)\cdot (3) - (1)\cdot (2)}[/tex]
y = 1
By applying Cramer's rule as solution method, the solution of the linear system 3 · x + 2 · y = 5 and x + 3 · y = 4 is equal to the set (x, y) = (1, 1).
To learn more on Cramer's rule: https://brainly.com/question/12682009
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Do you guys now the answer I need it ASAP please
Answer:I think that it would be either b or c
Step-by-step explanation:
I don't understand this, please help
Answer:
∠2 = 150°, it is a supplementary angle to 30°
∠3 = 30°, it is an alternate angle to 30°
∠4 = 150°, it is a supplementary angle to 30°
∠5 = 30°, it is an alternate angle to 30°
∠6 = 150°, it is a supplementary angle to 30°
∠7 = 30°, it is an alternate angle to 30°
∠8 = 150°, it is a supplementary angle to 30°
An element with
mass 510 grams decays by 26.3% per minute. How much of the
element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
60.2 grams is remaining after 7 minutes.
Step-by-step explanation:
Exponential equation for amount of substance:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.
An element with mass 510 grams decays by 26.3% per minute.
This means that [tex]A(0) = 510, r = 0.263[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 510(1-0.263)^t[/tex]
[tex]A(t) = 510(0.737)^t[/tex]
How much of the element is remaining after 7 minutes?
This is A(7). So
[tex]A(7) = 510(0.737)^7 = 60.2[/tex]
60.2 grams is remaining after 7 minutes.
5x+2y=10
x+ay=4
Which value of a makes these equations have no solution.
Answer:
2
Step-by-step explanation:
Rearrange to same form:
2y = -5x + 10
y = -5/2x + 10
ay = -5x + 4
Parallel lines have no intersection and solution, thus a = 2
Answer:
Step-by-step explanation:
For there to be no solution the lines must be parallel and have different y intercepts. To be parallel they must have the same slope.
Solving each for y
y=(10-5x)/2 and y=(4-x)/a
So the slopes are
-5/2 and -1/a, if they are equal
-5/2=-1/a
-5a=-2
a=2/5
I need help ASAP will mark the brainliest
Answer:
hhffuutxu da ruzrxtoxotx suzs txyfyfxkfzfjzrzjrzurzi f2f jfizeyUrYsU
Step-by-step explanation:
that boi sus fo real nfcgxjfxiffxdkhdkydkgzxd lux kygksktskgxkhxyzjrztjztkxlyslyskt
Every Month the average number of books borrowed by a class of 24 from a library is 4.What is the total number of books borowed by the class for the month
Answer:
96
Step-by-step explanation:
24*4=96
A football team incurred a 10 yard penalty for being off sides. Write an integer to represent this situation?
Answer:
sir u can try looking up on internet, we do not do homeworks/assignemnts for people
Step-by-step explanation:
Which of the following choices lists the values of the side longths of a triangle with 45-45-90 degree angles and a hypotonuso - 247? Need help
Answer:
D 12rad2 12rad2 24
Step-by-step explanation:
Please answer ASAP this is due tomorrow
Answer:
227.08in^2
You want to find the surface area for this problem. SA=2lw+2lh+2hw
Step-by-step explanation:
L=2.5
W=7.4
H=9.6
SA=2lw+2lh+2hw
SA=2(2.5x7.4)+2(2.5x9.6)+2(9.6x7.4)
SA=37+142.08+48
SA=227.08in^2
0 What is A U B?
Set A = 1, 2, 3, 4
Set B = 2, 3, 6, 10, 11
Answer:
A U B= 1,2,3,4,6,10,11
Step-by-step explanation:
because A union B is all number from set A and set B together without repeating
A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox.
What is the perimeter in feet of Todd’s sandbox?
9. square
A =
s= 15 ft
Answer:
225 square feet
Step-by-step explanation:
If one side = 15 ft, and it's a square, you do 15 x 15 = 225 square feet
Hope that helps!
Question 2(Multiple Choice Worth 1 points) (07.03 MC) Lacey has $36 to spend. She buys a pair of sunglasses for $14.89 and a hat for $9.33. Lacey buys a scarf with the remaining money. How much does Lacey spend buying a scarf? $4.66 $7.44 $11.78 $24.22
Answer:
11.78
Step-by-step explanation:
Which of the following can be used to prove that AABC = AADC?
Answer:
AAS postulate
Step-by-step explanation:
Answer:
i hope it help u:))
Step-by-step explanation:
i think that it will be ASA postulate
OMG PLEASE HELP PLEASE OMG HELP ME HELP PLZ!!!!!!!!!! HELPPPPPPPPPPPPp
17.5 mark brainlist plssssssssssssss
pls someone anwser quick
The question that is asked
Answer:
THE ANSWER IS B BECAUSE I AM BIG BRAIN
Step-by-step explanation:
During science class, groups measure out different volumes of vinegar. The line plot below shows the amount of vinegar used by 12 groups, rounded to the nearest 1/2 ml.
Answer: it should be 22 1/2 :)
You purchase a car for $20,000. It depreciates 30% each year. Which formula calculates how much your car will be worth in 10 years?
Answer:6722.8(sorry if i'm wrong)
Step-by-step explanation:
how to solve 46 divide by 6 and change it to a multiplication equation
Answer:
46/6 is approximately 7.667.
To change it to a multiplication problem, I can do 46 = 6*7.667. The answer is not exact, just an estimated approximation.
You can also try to divide yourself.
What is the measure of each angle of a regular pentagon? If necessary, round to the nearest tenth.
Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165
Step-by-step explanation: sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .
A plane flies 545 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 680 kilometers from Elgin to Canton (Canton is due west of Naples). Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)
Answer:
235°Step-by-step explanation:
Use of low of sinesConsider triangle CENBearing of angle counted from zero to the vector of flightWe have
∠CNE = complementary with 44° ⇒ m∠CNE = 90° - 44° = 46°NE = b = 545 kmEC = a = 680 km∠ECN = xFind the measure of angle x:
sin 46° / a = sin x / bsin 46° / 680 = sin x / 545sin x = 545 sin 46 deg / 680x = arcsin (545 sin 46 deg / 680)x = 35° (rounded)Bearing of the flight from Elgin to Canton is:
270° - 35° = 235° as the vector is in the third quadrantAnswer:
235°
Step-by-step explanation:
Bearing: The angle (in degrees) measured clockwise from north.
The given scenario can be modeled as a triangle.
Given sides of the triangle:
a = 680 kmb = 545 kmAs due north is at a right angle to due west, the angle in the right corner of the triangle is:
⇒ 90° - 44° = 46°
Use the Sine Rule to find angle y marked on the attached diagram (the angle opposite side b).
Sine Rule
[tex]\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
[tex]\implies \sf \dfrac{\sin 46^{\circ}}{680}=\dfrac{\sin y}{545}[/tex]
[tex]\implies \sf \sin y= \dfrac{545\sin 46^{\circ}}{680}[/tex]
[tex]\implies \sf y= \sin^{-1} \left(\dfrac{545\sin 46^{\circ}}{680}\right)[/tex]
[tex]\implies \sf y=35.20682806...^{\circ}[/tex]
Interior angles of a triangle sum to 180°
⇒ x° + y° + 46° = 180°
⇒ x° + 35.2068...° + 46° = 180°
⇒ x° = 98.79317194...°
Consecutive Interior Angles Theorem
When a straight line intersects two parallel straight lines, the consecutive interior angles formed sum to 180°. Therefore the angle between due north and side a of the triangle is:
⇒ 180° - 44° = 136°
To find the bearing of the flight from Elgin to Canton, find the angle labelled green on the attached diagram:
[tex]\implies \sf Bearing =136^{\circ}+ 98.79317194...^{\circ}[/tex]
[tex]\implies \sf Bearing = 234.7931719...^{\circ}[/tex]
[tex]\implies \sf Bearing = 235^{\circ}[/tex]
As bearings are usually given as a three-figure bearings, the bearing of the flight from Elgin to Canton is 235°.
Learn more about bearings here:
https://brainly.com/question/27928951
I need help can any on help me
Answer:
Simplify 3log3(-5) = undefined?
Step-by-step explanation:
9) Find the unit rate:
40 cookies for $3.25
Please guys help me please no links
Answer:
it's F.
Step-by-step explanation:
i used my calculator. just trust me