Answer:
your answer should be 4/9
Step-by-step explanation:
Hope this helps!
The ratio as a fraction in lowest terms is 4/9
How to express the ratio as fraction?The ratio is given as:
Ratio = 40 minutes to 90 minutes
Remove the units
Ratio = 40 to 90
Express as fraction
Fraction = 40/90
Simplify
Fraction = 4/9
Hence, the ratio as a fraction in lowest terms is 4/9
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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.
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.
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
HELP PLS ILL GIVE U BRAINLEST OF U ANSWER THE QUESTION IN THE PIC CORRECT PLS ASAP PLS DONT GUESS PLS HELP
Answer: A
Step-by-step explanation:
Answer:
yeah is A
Step-by-step explanation:
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:
How many and what type of solution(s) does the equation have?8p^2=24p−10
Answer:
2 real solutionsStep-by-step explanation:
to understand thisyou need to know about:discriminantPEMDAStips and formulas[tex]D=b^{2}-4ac[/tex]D>0 (2 real solutions)D=0 (1 real solution)D<0 (2 imaginary solutions) or (no real solutions)let's solve:move left hand side expressions to right hand side and change its sign:8p²-24p+10=0divide both sides by 2 :4p²-12p+5=0the quadratic equation standard form is
ax²+bx+c=0therefore we get
a=4b=-12c=5-------------------------------
substitute the value of a,b and c into the discriminant: D=-12²-4.4.5simplify square:144-4.4.5simplify multiplication:144-80simplify substraction:64since we got D>0
therefore
the quadratic equation has 2 real solutions
mareli rides her dirt bike at 20 meters/second for 500 seconds, how far did she ride?
Answer:
25 meters
Step-by-step explanation:
500/20 = 25
25 meters
Hope that helps!
Answer:
10,000 meters
Step-by-step explanation:
20*500=10,000
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.
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!
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:
Can anyone help me on this please
Answer:
y = x - 8
Step-by-step explanation:
y = mx + b
M is your slope, 1. 1x can be rewritten as x.
Your Y intercept is B, therefore -8.
y = x - 8. When you plug in the numbers.
A rectangular flower garden in Samantha's backyard has 260 feet around its edge. The width of the garden is 60 feet.
What is the length of the garden?
Answer:
100 - 20 = 80 Length Of the Garden
Step-by-step explanation:
So You Can do 20 Ft Minus 100 Because 100 is the Total so Heres a Graph To Show You
Total= 100 Ft
Width= 20
Length=?
Total - Width = Length
100 - 20 = 80 Length Of the Garden
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°.
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SOMEONE PLEASE ANSWER AND EXPLAIN I’LL MARK BRAINLIEST THANK YOU
Answer:
20 visits.
Step-by-step explanation:
Fitness Universe has a 1 time payment of $50, and each visit will cost $5.50
Non-members pay $8 per visit. Let each visit be signified by the variable, v. Set the equation:
5.50v + 50 = 8v
Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Subtract 5.50v from both sides:
5.50v (-5.50v) + 50 = 8v (-5.50v)
50 = 8v - 5.50v
50 = 2.50v
Isolate the variable, v. Divide 2.50 from both sides:
(50)/2.50 = (2.50v)/2.50
v = 50/2.50
v = 20
Stuart must visit 20 times to break even, in which it will become cheaper after the 20th visit.
3.1 Simplify the following ratios:
3.1.1 500g: 3 kg
- 15
Answer:
1g:6g-15
Step-by-step explanation:
The question that is asked
Answer:
THE ANSWER IS B BECAUSE I AM BIG BRAIN
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°
divide 270 in the ratio 3:2:1
3 + 2 + 1 = 6
270 ÷ 6 = 45
45 × 3 = 135
45 × 2 = 90
45 × 1 = 45
3 : 2 : 1
135 : 90 : 45
OMG PLEASE HELP PLEASE OMG HELP ME HELP PLZ!!!!!!!!!! HELPPPPPPPPPPPPp
17.5 mark brainlist plssssssssssssss
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]
I will give 40 points to the person who has the awnser and work solved to all 5 questions
Answer:
4w+6h-h
4w+5h
7y+4y
11y
6x+3y+5x
11x+3y
5x+12d-2x+4d
3x+16d
3x^2+6y+5x^2+2x
8x^2+6y+2x
Let me know if this helps!
Answer:
A, D,and E
Step-by-step explanation:
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?
Please guys help me please no links
Answer:
it's F.
Step-by-step explanation:
i used my calculator. just trust me
The sum of 3 consecutive integers is 201. What are the integers?
Answer:
Step-by-step explanation:
the consecutive numbers can be represented by (n-1), n, and (n+1), where n is an integer.
(n-1) + n + (n+1) = 201
3n = 201
n = 67
66, 67, 68
The question that is asked...
state three (3) uses of graphs
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:
please someone helpme
Answer:
[tex]\displaystyle t = \frac{2 \pi}{3}, \ \frac{4 \pi}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction Notation[Interval Notation] - [Brackets] imply inclusive, (Parenthesis) imply exclusivePre-Calculus
Unit CircleCalculus
Derivatives
Derivative Notation
The definition of a derivative is the slope of the tangent line
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]
Step-by-step explanation:
Step 1: Define
[Given] q(t) = t + 2sint
[Given] Interval [0, 2π]
[Solve] q'(t) = 0
Horizontal tangent line have a slope of 0Step 2: Differentiate
[Derivative] Basic Power Rule/Trig Derivative [Derivative Prop - Add]: [tex]\displaystyle q'(t) = 1 \cdot t^{1 - 1} + 1 \cdot 2cost[/tex][Derivative] Simplify exponent: [tex]\displaystyle q'(t) = 1 \cdot t^{0} + 1 \cdot 2cost[/tex][Derivative] Evaluate exponent: [tex]\displaystyle q'(t) = 1 \cdot 1 + 1 \cdot 2cost[/tex][Derivative] Multiply: [tex]\displaystyle q'(t) = 1 + 2cost[/tex]Step 3: Solve
[Derivative] Substitute in function value: [tex]\displaystyle 0 = 1 + 2cost[/tex][Subtraction Property of Equality] Isolate t term: [tex]\displaystyle -1 = 2cost[/tex]Rewrite: [tex]\displaystyle 2cost = -1[/tex][Division Property of Equality] Isolate trig t term: [tex]\displaystyle cost = \frac{-1}{2}[/tex][Equality Property] Inverse Trig: [tex]\displaystyle t = cos^{-1}(\frac{-1}{2})[/tex]Evaluate [Unit Circle, Interval]: [tex]\displaystyle t = \frac{2 \pi}{3}, \ \frac{4 \pi}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
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 :)
9) Find the unit rate:
40 cookies for $3.25