What is the solution of the system of inequalities?
y < - (1/3)x+1 , y>2|x-1|
Answers
The solution of the given equalities is intersection of shaded region
To find the solution of the system of inequalities:
1) y < - (1/3)x + 1
2) y > 2|x - 1|
We can analyze each inequality separately and then find the intersection of their solutions.
1) For the inequality y < - (1/3)x + 1:
We can start by graphing the line y = - (1/3)x + 1. Since it is a strict inequality, we should use a dashed line to represent it.
Next, we need to determine which side of the line to shade to satisfy the inequality. Since y is less than the expression on the right side of the inequality, we shade the region below the line.
2) For the inequality y > 2|x - 1|:
First, let's consider the absolute value term |x - 1|. This term represents the distance between x and 1 on the number line. We can rewrite the inequality as two separate cases:
a) When x - 1 ≥ 0 (x ≥ 1), we have:
y > 2(x - 1)
y > 2x - 2
We can graph the line y = 2x - 2. Since it is a strict inequality, we use a dashed line.
b) When x - 1 < 0 (x < 1), we have:
y > 2(-(x - 1))
y > -2x + 2
We graph the line y = -2x + 2. Again, it is a strict inequality, so we use a dashed line.
For both cases, we shade the region above the respective lines to satisfy the inequalities.
Now, we need to find the intersection of the shaded regions from both inequalities.
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Related Questions
(Related to Checkpoint 9.4) (Bond valuation) A bond that matures in
13
years has a
$1 comma 000
par value. The annual coupon interest rate is
12
percent and the market's required yield to maturity on acomparable-risk bond is
14
percent. What would be the value of this bond if it paid interest annually? What would be the value of this bond if it paid interest semiannually?
Question content area bottom
Part 1
a. The value of this bond if it paid interest annually would be
$.
(Round to the nearest cent.)
Answers
The value of this bond, if it paid interest annually, would be $850.78.
What is the value of the bond when interest is paid annually?In order to calculate the value of the bond, we need to use the present value formula for a bond. The present value of a bond is the sum of the present values of its future cash flows, which include both the periodic coupon payments and the final principal payment at maturity.
To calculate the present value of the annual coupon payments, we can use the formula:
PV = C × (1 - (1 + r)⁻ⁿ) / r,
where PV is the present value, C is the coupon payment, r is the required yield to maturity, and n is the number of periods.
In this case, the coupon payment is $120 ($1,000 par value × 12% coupon rate), the required yield to maturity is 14% (0.14), and the number of periods is 13. Plugging these values into the formula, we get:
PV = $120 × (1 - (1 + 0.14)⁻¹³) / 0.14
≈ $850.78.
Therefore, the value of this bond, if it paid interest annually, would be approximately $850.78.
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Need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
How to Convert Roman Numerals to Numbers?
Answers
Answer:
add the values of the symbols or symbol pairs
Step-by-step explanation:
You want to know how to convert Roman Numerals to decimal numbers.
Characters and valuesThe symbols used in Roman Numerals are {I, V, X, L, C, D, M}. Respectively, they have values {1, 5, 10, 50, 100, 500, 1000}. The values of these symbols are multiplied by 1000 by an overline.
ConversionA number can be converted to decimal by working right to left. In general, the value of a symbol is added to the total. When a symbol of lesser value than the previous one is encountered, its value is subtracted. (Usually, the value being subtracted is a power of 10.)
ExamplesI = 1II = 1 + 1 = 2IV = 5 - 1 = 4V = 5IX = 10 -1 = 9MCMLXIX = 10 -1 +10 +50 +1000 -100 +1000 = 1969Aliases exist. Without knowledge of the rules the Romans used for writing their numbers, we can invent numbers that can be written two or more ways:
1950 = MLM = MCML
As we noted above, the form MLM = 1950 would probably not be used, since the subtracted L is not a power of 10.
We expect that 1999 would likely be written MCMXCIX, rather than MIM. That way, the character being subtracted is not less than 10% of the character it is subtracted from.
__
Additional comment
Use of an overline is not the only way that the system is extended to higher values. Different notations are found in different contexts.
The basic idea of Roman Numerals is to express value by the character used, rather than its location in a number. It is not a "place value" system.
There is no zero. There are no negative numbers.
The reference to "symbol pairs" in the Answer section above is to recognize a pair of symbols in which the one on the left is subtracted.
ving Advanced Linear Equations: Practice
Question 4 of 5
Type the correct answer in each box. Use numerals instead of words.
Micah is keeping track of how much he spends this month on gas. In the first week, he bought x gallons of gas at $2.39 per gallon. In
the second week, he bought 3 fewer gallons of gas than the first week at $2.49 per gallon. So far this month, he has spent a total
$46.21 on gas.
In the first week, Micah bought
g allons of gas.
In the second week, Micah bought
g allons of gas.
Submit
Reset
Answers
Answer:
In the first week, Micah bought 11 gallons of gas.
In the second week, Micah bought 8 gallons of gas.
Step-by-step explanation:
Given:
First week
x gallons of gas at $2.39 per gallon
x gallons = $2.39x
Second week
3 fewer gallons of gas than the first week at $2.49 per gallon
x - 3 gallons = $2.49(x-3)
Total spent = $46.21
$2.39x + $2.49(x-3) = $46.21
2.39x + 2.49x - 7.47 = 46.21
4.88x - 7.47 = 46.21
Add 7.47 to both sides
4.88x - 7.47 + 7.47 = 46.21 + 7.47
4.88x = 53.68
Divide both sides by 4.88
x = 53.68/4.88
= 11
x = 11
First week = x = 11 gallons
Second week
= x - 3
= 11-3
= 8 gallons
Therefore,
In the first week, Micah bought 11 gallons of gas.
In the second week, Micah bought 8 gallons of gas.
Friar laurence: these violent delights have violent ends, and in their triumph die, like fire and powder, which, as they kiss consume: the sweetest honey is loathsome in his own deliciousness and in the taste confounds the appetite: therefore love moderately; long love doth so; too swift arrives as tardy as too slow. what do the oxymoron and paradox in this excerpt illustrate about love? only love has the ability to overcome obstacles. nothing good ever comes from truly loving another. loving with restraint is the key to long-lasting love. true love causes one to lose the ability to reason
Answers
Seriousness is what is being portrayed by the oxymoron and paradox in this excerpt.
Simply put, a serious relationship is one in which you are fully committed to your partner. You are completely open and honest with each other. You trust each other deeply. And you are on the same page together not only from your values and ethics perspective, but also from your future perspective.
Monks do not claim that "moderate" love is more wise than fleeting love, but they guide Romeo to understand the reason for his wisdom and explore their relationship.
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What is the slope-intercept equation for the linear function represented by the
table?
Answers
Answer: y= 3/2x - 6
Step-by-step explanation:
The equation is y=mx + b
The y-intercept is when x = 0, so on the table y-intercept = -6
The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2
to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}\)
now, the y-intercept occurs when x = 0, recheck the picture below.
a poll shows that of all voters approve of the mayor's work. on three separate occasions a pollster selects a voter at random. what is the probability that on exactly one of these three occasions the voter approves of the mayor's work?
Answers
The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:
0.189 = 18.9%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters in the context of this problem are given as follows:
n = 3, p = 0.7.
Then the probability of exactly one success is calculated as follows:
P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.
Missing InformationThe proportion of voters that approve the mayor's work is of 70%.
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36% of the tarts that a baker baked were strawberry tarts. He baked 98 more chocolate tarts than strawberry tarts. How many tarts did the baker bake in all?
Answers
Answer:
350
Step-by-step explanation:
100% - 36% = 64% (we first find out the remaining percentage)
Now we know there are 98 more chocolate tarts than strawberry tarts. We have to find out that percentage.
So, 64% - 36% = 28%
So 98 of the chocolate tarts make up 28%
x --------> 100%
98 --------> 28%
Just follow the percentage formula.
98 * 100 = 9800
9800/28 = 350
19 POINTS
find the axis of symmetry for this function
Answers
Answer:
x = - 3
Step-by-step explanation:
given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 ) , then the equation of the axis of symmetry is
x = - \(\frac{b}{2a}\)
f(x) = - 2x² - 12x + 36 ← is in standard form
with a = - 2 and b = - 12
then equation of axis of symmetry is
x = - \(\frac{-12}{2(-2)}\) = - \(\frac{-12}{-4}\) = - 3
that is x = - 3
If an apple has a mass of 25 kg and a momentum of 50 kg-m/s
south, what is its velocity?
O 5 m/s south
O 125 m/s north
0 0.2 m/s south
2 m/s south
Answers
Answer:
2m/s south
Step-by-step explanation:
p = mv
Where p is the momentum, m is the mass, while v is the velocity.
Given that
m = 25kg
v = ?
p = 50kgm/s
Substituting the values into the formula.
50kgm/s = 25×v
50kgm/s = 25v
Divide both sides by 25
v = 50/25
v = 2m/s
From the option list, the answer is
2m/s south
I need help with finding the ordered set of sample data
Answers
So, que ordered set is:
4, 76, 81, 165, 256, 279, 369, 503, 538, 585, 588, 613, 652, 744, 770, 777.
3(-2x-4) equal what plz need help
Answers
Answer:
-6x-12
Step-by-step explanation:
\( - 6x - 12\)
hope this help
Answer:
Step-by-step explanation:
the answer is 24
f^-1(-10) + f(-6)
Please help!!!!
Answers
Answer:
-10/f-6f
Step-by-step explanation:
simplify it the equation
Salma got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft
store. The price of the ribbon was 7 cents per yard. If after that purchase there was $18.46 left on the card, how many yards of
ribbon did Salma buy?
Answers
Answer:
22 yards
Step-by-step explanation:
Let x equal the number of yards of ribbon at $.07 per yard:
$18.46 + 0.07x = $20.00
Solve for x
Subtract $18.46 from both sides
0.07x = $1.54
Divide both sides by .07
x = 22
The opposite angles formed by two intersecting lines are ______?
1)of equal measures/ समान मापाचे
2)supplimentary / पूरक
3)of unequal measures / असमान मापाचे
4)corresponding angles / संगत कोन
Answers
Answer:
1)
Step-by-step explanation:
The opposite angles formed by two intersecting lines are of equal measures.
They are called vertically opposite angles.
Worth a 100 points!
The question is in the attachment below.
Answers
Answer:
B. 7.5
Step-by-step explanation:
Let's solve this problem using similar triangles.One right triangle is formed by:
the height of the streetlight (i.e., 18 ft),the distance between the top of the streetlight and the top of the tree's shadow (i.e., unknown since we don't need it for the problem),and the distance between the base of the streetlight and the top of the tree's shadow (i.e., 15 ft between the streetlight's base and the tree's base + the unknown length of the shadow)Another similar right triangle is formed by:
the height of the tree (i.e., 6 ft),the distance between the top of the tree and the top of its shadow (i.e., also unknow since we don't need it for the problem),and the distance between the tree's base and the top of it's shadow (i.e., the unknown length of the shadow).Proportionality of similar sides:
Similar triangles have similar sides, which are proportional.We can use this proportionality to solve for s, the length of the tree's shadow in ft.First set of similar sides:
The height of the streetlight (i.e., 18 ft) is similar to the height of the tree (i.e., 6 ft).Second set of similar sides:
Similarly, the distance between the base of the streetlight and the top of the tree's shadow (i.e., 15 ft + unknown shadow's length) is similar to the length of the tree's shadow (i.e., an unknown length).Now we can create proportions to solve for s, the length of the shadow:
18 / 6 = (15 + s) / s
(3 = (15 + s) / s) * s
(3s = 15 + s) - s
(2s = 15) / 2
s = 7.5
Thus, the length of the shadow is 7.5 ft.
Check the validity of the answer:
We can check our answer by substituting 7.5 for s and seeing if we get the same answer on both sides of the equation we just used to solve for s:
18 / 6 = (15 + 7.5) / 7.5
3 = 22.5 / 7.5
3 = 3
Thus, our answer is correct.
Answer:
B. 7.5
\(\hrulefill\)
Step-by-step explanation:
The given diagram shows two similar right triangles.
Let "x" be the base of the smaller triangle. Therefore:
The smaller triangle has a base of x ft and a height of 6 ft.The larger triangle has a base of (15 + x) ft and a height of 18 ft.In similar triangles, corresponding sides are always in the same ratio. Therefore, we can set up the following ratio of base to height:
\(\begin{aligned}\sf \underline{Smaller\;triangle}\; &\;\;\;\;\;\sf \underline{Larger\;triangle}\\\\\sf base:height&=\sf base:height\\\\x:6&=(15+x):18\end{aligned}\)
Express the ratios as fractions:
\(\dfrac{x}{6}=\dfrac{(15+x)}{18}\)
Cross multiply and solve for x:
\(\begin{aligned}18x&=6(15+x)\\\\18x&=90+6x\\\\18x-6x&=90+6x-6x\\\\12x&=90\\\\\dfrac{12x}{12}&=\dfrac{90}{12}\\\\x&=7.5\end{aligned}\)
Therefore, the shadow of the tree is 7.5 feet long.
what is 16+6
A. 2(8+1)
B. 2(8+3)
C. 3(2+3)
D. 8(2+3)
Answers
Answer:
B
Step-by-step explanation:
16 + 6 ← factor out 2 from each number
= 2(8 + 3)
Directions: Solve for the Quotient of the following using (a) Long Division Method for Polynomials
1. (x^2 + 8x – 1) ÷ (x + 4)
2. (x^3 + 6x^2 – x – 30) ÷ (x-2)
(b) Synthetic Division
3. (4x^2 + 24x + 21) ÷ (x + 5)
4. (2t^4 + t^3 + 5t^2 14t – 16) ÷ (t + 2)
Answers
1. (x^2 + 8x – 1) ÷ (x + 4), the quotient is x + 4 and the remainder is -17.
2. (x^3 + 6x^2 – x – 30) ÷ (x-2), the quotient is x^2 + 8x + 15 and there is no remainder.
3. (4x^2 + 24x + 21) ÷ (x + 5), the quotient is 4x + 4 with a remainder of 1.
4. (2t^4 + t^3 + 5t^2 14t – 16) ÷ (t + 2), the quotient is 2t^3 - 3t^2 + 2t - 8 with a remainder of 6.
How to divide the polynomialx + 4 │ x^2 + 8x - 1
│ x^2 + 4x
│-------------
│ 4x - 1
│ 4x + 16
│-------------
│ -17
x - 2 │ x^3 + 6x^2 - x - 30
│ x^3 - 2x^2
│-----------------
│ 8x^2 - x
│ 8x^2 - 16x
│-------------
│ 15x - 30
│ 15x - 30
│--------------
│ 0
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A relay race is 1 3 4 miles long. Each relay team has 4 runners. If each runner runs the same distance in the race, how far will each runner run?
Answers
Explanation: 134/ 4 = 33.5 miles. Hope this helps! <3
2. Megan's aquarium measures 20 inches long, 14 inches wide, and 18 inches high. How many cubic inches of water would it take to completely fill the aquarium?
Answers
It would take 5040 cubic inches of water to completely fill the aquarium.
We know that the formula for the volume of cuboid :
V = length × width × height
Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.
Here, l = 20 inches
w = 14 inches
and h = 18 inches
Using the formula for the volume of cuboid, the volume of aquarium would be,
V = l × w × h
V = 20 × 14 × 18
V = 5040 cu.in.
Therefore, it would take 5040 cu.in. of water.
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I will give Brainlyest to the person who is first
After the temperature rose 9', the thermometer read 37°F
What is an equation that can be used to find x, the temperature before the gº increase
Drag the number, symbol, or operation sign to each box to complete the equation or symbol to
Answers
Answer:
37-9=28
Step-by-step explanation:
it was 28 F then rose 9 which is 37 so 37-9 =28
The equation is 37 - 9= x.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
After the temperature rose 9°F, the thermometer read 37°F.
let x be the temperature before the 9º increase.
So, 37 - 9= x
x= 28°F.
Hence, the equation is 37 - 9= x.
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Please help me long division step by step !!!
Answers
Answer:
0.850
Step-by-step explanation:
The first step is to write the number in standard form. Then, you place the decimal point in the quotient above the decimal point of the dividend. Then, divide and bring down the other digits such as hundredths, thousandth, and ect.
How do you find the value of x and y in a given figure?
Answers
To find the value of x and y in a given figure, you need to analyze the figure and use any information provided, such as labels, measurements, or geometric relationships. Here are some steps you can follow:
Identify any labels or measurements provided in the figure. These may include lengths, angles, or other types of quantities that can help you determine the values of x and y.
Look for any geometric relationships in the figure that can help you determine the values of x and y. For example, if you know that two lines are parallel or that two angles are congruent, this can give you additional information about the values of x and y.
Use any information you have gathered to set up an equation or system of equations that relates x and y. You can then solve this equation or system of equations to find the values of x and y.
If the figure is a diagram or graph, you may be able to use coordinate geometry to find the values of x and y. For example, if the figure is a graph, you can locate the point on the graph that corresponds to the values of x and y, and then read the coordinates from the axes.
It is important to note that finding the values of x and y may require you to use different mathematical concepts and techniques, depending on the information provided in the figure and the type of figure it is.
given sec0=29/21 and sin0>0 find csc0
Answers
csc theta = 29/30
Step-by-step explanation:
sec theta = hypotenuse/adjacent = 29/21
where hypotenuse = 29 and adjacent = 21
We can use these values and Pythagorean theorem to find the value of the opposite side:
(opposite)^2 = (hypotenuse)^2 - (adjacent)^2
= (29)^2 - (21)^2
= 400
or
opposite = 20
Therefore,
csc theta = hypotenuse/opposite = 29/20
write 81 as a repeated multiplication of (-3)s. Then write it as a power
Answers
Answer:
(-3) x (-3) x (-3) x (-3)
(-3)²
what is the slope of the line represented by the equation y =7 - x?
Answers
Answer:
slope = -1
Step-by-step explanation:
When you put the equation into slope-intercept form (y=mx+b), where m is the slope of the line, you can see that -1 is the slope.
The slope of the line represented by the given equation is -1.
Given the following equation:
\(y =7 - x\) ...equation 1.To determine the slope of the line represented by the given equation:
Mathematically, the standard form of an equation of line is given by the formula;
\(y=mx+b\) ....equation 2.
Where:
x and y are the points.m is the slope.b is the intercept.Equating the two equations, we have:
\(y = mx+b = 7-x\)
Comparing eqn 1 and eqn 2, we can deduce that the slope is -1.
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what are the zeros of the quadratic function? f(x)=2x2+x-3
Answers
Answer: The zeros of the quadratic function are: 5/2+(1/2)*sqrt(31), 5/2-(1/2)*sqrt(31)
Step-by-step explanation:
Consider a large-sample level 0.01 test for testing H_0: p = 0.2 against H_a: p > 0.2. For the alternative value p = 0.21, compute beta(0.21) for sample sizes n = 81, 900, 14, 400, 40, 000, and 90, 000. (Round your answers to four decimal places.) For p^= x/n = 0.21, compute the P-value when n = 81, 900, 14, 400, and 40, 000. (Round your answers to four decimal places.)Previous question
Answers
These are the computed values of beta and p-value for the given alternative value p = 0.21 and sample sizes.
To compute the beta (β) for the given alternative value p = 0.21 and sample sizes n = 81, 900, 14,400, 40,000, and 90,000, we need to determine the probability of Type II error. Beta is the probability of failing to reject the null hypothesis (H₀) when the alternative hypothesis (Hₐ) is true.
To calculate beta, we need to find the corresponding z-value for the given significance level α = 0.01, which corresponds to a z-value of 2.33 (approximate value).
Using the formula for the standard deviation of the sample proportion:
σ = sqrt((p₀ * (1 - p₀)) / n)
where p₀ is the null hypothesis value, p = 0.2, and n is the sample size.
Then we can calculate the z-score for the alternative value p = 0.21 using the formula:
z = (p - p₀) / σ
Finally, we can compute beta using the standard normal distribution table or a statistical calculator.
Let's calculate beta for the given sample sizes:
For n = 81:
σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447
z = (0.21 - 0.2) / 0.0447 ≈ 0.2494
beta = P(Z > 0.2494) ≈ 0.4013
For n = 900:
σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143
z = (0.21 - 0.2) / 0.0143 ≈ 0.7692
beta = P(Z > 0.7692) ≈ 0.2206
For n = 14,400:
σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071
z = (0.21 - 0.2) / 0.0071 ≈ 1.5493
beta = P(Z > 1.5493) ≈ 0.0606
For n = 40,000:
σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050
z = (0.21 - 0.2) / 0.0050 ≈ 2.2000
beta = P(Z > 2.2000) ≈ 0.0139
For n = 90,000:
σ = sqrt((0.2 * (1 - 0.2)) / 90,000) ≈ 0.0033
z = (0.21 - 0.2) / 0.0033 ≈ 3.0303
beta = P(Z > 3.0303) ≈ 0.0012
Next, let's calculate the p-value for the alternative value P = 0.21 and sample sizes n = 81, 900, 14,400, and 40,000.
The z-score for the given P can be calculated using the formula:
z = (P - p₀) / σ
Using the standard normal distribution table or a statistical calculator, we can find the area under the curve beyond the calculated z-score to obtain the p-value.
For n = 81:
σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447
z = (0.21 - 0.2) / 0.0447 ≈ 0.2494
p-value = P(Z > 0.2494) ≈ 0.4013
For n = 900:
σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143
z = (0.21 - 0.2) / 0.0143 ≈ 0.7692
p-value = P(Z > 0.7692) ≈ 0.2206
For n = 14,400:
σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071
z = (0.21 - 0.2) / 0.0071 ≈ 1.5493
p-value = P(Z > 1.5493) ≈ 0.0606
For n = 40,000:
σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050
z = (0.21 - 0.2) / 0.0050 ≈ 2.2000
p-value = P(Z > 2.2000) ≈ 0.0139
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Hypotenuse is 13.5 the angle is 41 degrees what’s the opposite
Answers
If the length of the hypotenuse is 13.5 units and angle is 41 degrees, then the length of the opposite side is 8.86 units
The length of the hypotenuse = 13.5 units
The angle = 41 degrees
Here we have to use the trigonometric function
sin θ = Opposite side / Hypotenuse
cos θ = Adjacent side / Hypotenuse
tan θ = Opposite side / Adjacent side
In this question hypotenuse and angles are given and we have to find the opposite side.
sin θ= opposite side / Hypotenuse
Substitute the values in the equation
sin 41 = Opposite side / 13.5
Opposite side = sin 41×13.5
= 8.86 units
Hence, if the length of the hypotenuse is 13.5 units and angle is 41 degrees, then the length of the opposite side is 8.86 units.
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The Center for Disease Control and Prevention reports that 25% of bay boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 16 babies is studied.
Answers
Okay, it seems like you want to analyze a sample of 16 babies based on their weight.
The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.
However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?
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