Answer:
65.8
Step-by-step explanation:
to solve such equations u should use (PEMDAS)
parenthesis, exponents, multiplication, division, addition, subtraction
note that multiplication doesn't become always before division if the division is before in the equation we divide then multiply
same with addition and subtraction we add or subtract depnding on what first
other than that we follow the steps i mentioned before
parenthesis, exponents, multiplication, division, addition, subtraction
so solve the parantheses first
then the exponents (you may have not learned this yet)
then multiplication and division together start with the one that comes first
the addition and subtraction start with the one that comes first
so for example :5×5÷5×5
=25÷5×5
=5×5
=25
i started with the first multiplication cuz it came first then division cuz it was before the other multiplication
and then the other multiplication
now here is the answer for your equation 93+48÷(12-42)x17
using PEMDAS(don't write this it's just for explaining)
parantheses first
93+48÷-30×17
we don't have exponents so just skip it
now division and multiplication
93+(-1.6)×17
finally addition amd subtraction
because we don't have subtraction we won't use it too
93 +(-27.2)
=65.8
LR
What is the mean of
89.93
94.51
68.90
97.66
97.57
86.05
98.35
89.15
80.71
91.46
84.82
Answer: 6
Step-by-step explanation:
What is the sum of the interior angle
measures of a regular hexagon? Show
or explain how you can use the sum
of the interior angles of a triangle to
determine the answer.
The sum of the interior angle of the regular hexagon is S = 720°
Given data ,
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides
θ = angle in degrees
when n = 6 for a hexagon , we get
nθ = 180 ( 6 - 2 )
nθ = 180 x 4
nθ = 720°
Hence , the sum of interior angles of a hexagon is 720°
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When Steven was 3 years old (on his birthday), his grandmother decided to set up a trust account to pay for his college education. She wanted the account to grow
to $100,000 by his 18th birthday. If she was able to invest her money at 4% per year, how much did she have to deposit into this trust account? (Note: The
amount deposited is known as the present value of the investment. The $100,000 is known as the future value. Round your answer to the nearest cent.)
$
Using the future value,
Steven's grandmother needed to deposit $55,469.56 into the trust account.
We have,
We can use the formula for the future value of a present sum:
FV = PV(1 + r)^n
where FV is the future value, PV is the present value, r is the annual interest rate, and n is the number of years.
In this case, we have:
FV = $100,000
PV = unknown
r = 4% = 0.04
n = 15 years (18 - 3 = 15)
Substituting these values into the formula, we get:
$100,000 = PV(1 + 0.04)^15
Solving for PV, we get:
PV = $55,469.56
Thus,
Steven's grandmother needed to deposit $55,469.56 into the trust account.
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___ less than 60 greater than ___
Answer:
less than 60 is 59 and greater than 60 is 61
Answer:40 and 20
Step-by-step explanation: Mathematically the first fill in the blank can be any number less than 60 here in I have taken it as 40.In the second fill in the blank the it can be any number less than 40 so 20 can be answer I hv chosen here.
A total of $7000 is invested: part at 8% and the remainder at 12%. How much is invested at each rate if the annual interest is $580
?
The amount of $5000 is invested at 12% and $2000 is invested at 8%.
Let x be the amount invested at 8% and y be the amount invested at 12%. We know that the total amount invested is $7000, so we have:
x + y = 7000
We also know that the annual interest earned is $580. The amount of interest earned from the investment at 8% is 0.08x, and the amount of interest earned from the investment at 12% is 0.12y. So we have:
0.08x + 0.12y = 580
We now have two equations with two variables. We can solve for one variable in terms of the other in the first equation and substitute it into the second equation:
x = 7000 - y
0.08(7000 - y) + 0.12y = 580
560 - 0.08y + 0.12y = 580
0.04y = 20
y = 500
So $5000 is invested at 12% and $2000 is invested at 8%.
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Determine the measure of the arc CED
Answer:kbef;eohrjkvoubwe
cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?
A.
Kendall might be determined to be insane and not qualified to testify.
B.
The evidence in Kendall’s case is inconclusive and doesn’t prove anything.
C.
Kendall is an expert witness who has testified many times before.
D.
The police think it will hurt their case if Kendall chooses to testify.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Arc length= [tex]\frac{interior angle}{360} 2\pi r[/tex]
Points S and T are midpoints of the sides of trisngle FGH.
The length of GF is 4 cm minus half the length of side FH.
To do this, we can use the fact that point S is the midpoint of FH. This means that FS = 1/2 FH. Similarly, point T is the midpoint of GH, so TG = 1/2 GH. We can now use these equalities and the fact that SG = 4 cm and HT = 6 cm to set up an equation involving FH:
SG + GF + HT = ST + TG + FH
Substituting the given values and using the fact that TG = GH - TG = GH - 1/2 GH = 1/2 GH, we get:
4 cm + GF + 6 cm = 8 cm + 1/2 GH + FH
Simplifying and substituting FS = 1/2 FH and TG = 1/2 GH, we get:
10 cm + GF = 8 cm + FS + TG
GF = 8 cm + FS + TG - 10 cm
GF = 1/2 FH - 1/2 GH
Now, substituting the values we know, we get:
GF = 1/2 FH - 1/2 GH
GF = 1/2 (FS + SH) - 1/2 (GH)
GF = 1/2 (8 cm + SH) - 1/2 (GH)
GF = 1/2 (8 cm + FS) - 1/2 (GH)
GF = 1/2 (8 cm + 1/2 GH) - 1/2 (GH)
GF = 3 cm - 1/4 GH
We can now substitute TG = 1/2 GH and solve for GH:
TG = 1/2 GH
8 cm - FS = 1/2 GH
GH = 16 cm - 2 FS
Substituting this value into the expression for GF, we get:
GF = 3 cm - 1/4 (16 cm - 2 FS)
GF = 3 cm - 4 cm + 1/2 FS
GF = 1/2 FS - 1 cm
Finally, substituting FS = 8 cm - SH, we get:
GF = 1/2 (8 cm - SH) - 1 cm
GF = 4 cm - 1/2 SH
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Complete Question:
Points S and T are midpoints of the sides of triangle FGH
when HT = 6cm, ST = 8 cm, SG = 4CM
what is GF ?
The radius of a circle is decreasing at a constant rate of 2 centimeters per second. What is the rate of change of the area of the circle, in square centimeters, at the instant that the radius, r=5 centimeters
The rate of change of the area of the circle is decreasing at a rate of 97.636 cm^2/s when the radius is 44 cm.
Use the formula A=pi*r^2 to calculate the area of the circle when the radius is 44cm.
A=pi*r^2
A= 3.14159*(44 cm)^2
A= 6081.816 cm^2
Use the formula A'=2pi*r*r' to calculate the rate of change of the area.
A'=2pi*r*r'
A'= 2*3.14159*44 cm*(7 cm/s)
A'= 97.636 cm^2/s
The area of a circle is calculated by the equation A=pi*r^2, where r is the radius of the circle. At the instant when the radius of the circle is 44 centimeters, the area is 6081.816 cm^2.
To calculate the rate of change of the area, we use the equation A'=2pi*r*r', where r' is the rate of change of the radius.
In this case, the radius of the circle is decreasing at a rate of 7 cm/s, so r'=7 cm/s. Plugging these values into the equation, we get A'=2*3.14159*44 cm*(7 cm/s), which equals 97.636 cm^2/s.
Therefore, the rate of change of the area of the circle is decreasing at a rate of 97.636 cm^2/s when the radius is 44 cm.
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complete question:
the radius of a circle is decreasing at a constant rate of 7 centimeters per second. at the instant when the radius of the circle is 44 centimeters, what is the rate of change of the area? round your answer to three decimal places.
PQ is tangent to Circle O at Point P with arc lengths 160° and 60° as shown below.
The measure of the angle m∠PQR is equal to 50° using the secant tangent angle formula. So option A is correct.
What is the secant tangent angleThe secant tangent angle is the angle formed by a tangent and a secant that intersect outside of a circle. The measure of the secant tangent angle can be found using the following formula:
θ = 1/2 (arc EB - arc BD)
where arc EB and arc BD are the measures of the arcs intercepted by the secant and tangent, respectively.
From the question,
θ = m∠PQR
arc EB = 160°
arc BD = 60°
m∠PQR = 1/2(160° - 60°)
m∠PQR = 1/2 × 100°
m∠PQR = 50°
Therefore, the measure of the angle m∠PQR is equal to 50° using the secant tangent angle formula.
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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.22
.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 99%
confidence level with an error of at most 0.03
? Round your answer up to the next integer.
A sample size of 176 tenth graders would be needed in order to estimate the fraction of students with reading skills at or below the eighth grade level at a 99% confidence level having an error of at most 0.03.
To calculate the sample size required for estimating the fraction of tenth graders with reading skills at or below the eighth grade level, we can use the formula for sample size estimation for proportions;
n = (ZZ × p × (1 - p)) / (EE)
where; n = sample size
Z = Z-score corresponding to the desired confidence level (in this case, the Z-score for a 99% confidence level, which is approximately 2.626)
p = estimated population proportion (in this case, 0.22)
E = desired margin of error (in this case, 0.03)
Plugging in the given values;
n = (2.6262.626 × 0.22 × (1 - 0.22)) / (0.030.03)
n = 0.15774 / 0.0009
n ≈ 175.27
Since we need to round up to the next integer, the sample size required would be 176.
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Find the two perfect squares that each Integer is between. Then approximate the square root to one decimal place.
√47
pls i need it quick
Answer:
[tex] 36 < 47 < 49[/tex]
[tex] \sqrt{36} < \sqrt{47} < \sqrt{49} [/tex]
[tex]6 < \sqrt{47} < 7[/tex]
√47 is approximately 6.9
If a player bets 3$ on the 5$ denomination, find the players expectation
The player can expect to win 1.67$ for each 3$ bet placed on the 5$ denomination.
In probability theory, the expected value or expectation is the value that a player would expect to receive on average if they repeated the same game many times under the same conditions.
To find the player's expectation, we need to use the formula:
Expectation = (Probability of Winning x Amount Won) - (Probability of Losing x Amount Lost)
Assuming that the player wins if the bet is successful, the probability of winning on a 5$ denomination bet is 1/3, since there are three possible outcomes (win, lose, or push). The probability of losing is 2/3, since the player will lose if the bet is unsuccessful or if the outcome is a push.
If the player bets 3$ on a 5$ denomination, there are two possible outcomes: they either win 5$ or lose 3$. Therefore, the player's expectation can be calculated as:
Expectation = (1/3 x 5$) - (2/3 x 3$) = 1.67$
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1. Expand and simplify the following:
a) (x+3)(x + 5)
b) (x-6) (x + 7)
2. Common factor each of the following.
a) 2x+6
b) 9x² - 12x
3. Factor the following difference of squares.
a) x²-121
b) 4x² - 49
4. Factor each of the following trinomials.
a) x² - 10x + 16
b) x²-5x-24
c) (2x-3)(5x-4)
c) 24x² + 16x-2
c) 144-25x²
c) x² +8x-20
5. Factor the following quadratics using the appropriate factoring method (s).
a) 3x² + 18x+24
b) 99-11x²
c) 6x²-48x-54
The Common factor:
a) 2x+6 = 2(x+3)
b) 9x² - 12x = 3x(3x - 4)
How to solveExpand and simplify:
a) [tex](x+3)(x+5) = x^2 + 5x + 3x + 15 = x^2 + 8x + 15[/tex]
b) [tex](x-6)(x+7) = x^2 + 7x - 6x - 42 = x^2 + x - 42[/tex]
Common factor:
a) 2x+6 = 2(x+3)
b) 9x² - 12x = 3x(3x - 4)
Factorization is the process of expressing a number or equation in terms of its factors, which are integers or individual terms that when combined together generate the original number or expression. This is an essential concept in algebra and number theory.
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How is y=4(2)^x-3 translated from the graph of y=4(2)^x
The graph of y=4[tex](2)^{x}[/tex]-3 is the same as the graph of y=4[tex](2)^{x}[/tex] shifted downwards by 3 units.
The function y=4[tex](2)^{x}[/tex] is an exponential function with base 2 and vertical intercept at (0, 4).
To translate this function to the graph of y=4[tex](2)^{x}[/tex]-3, we need to shift the graph downwards by 3 units. This can be achieved by subtracting 3 from the original function as follows:
y = 4[tex](2)^{x}[/tex] - 3
Now, the vertical intercept of the new function y=4[tex](2)^{x}[/tex]-3 is at (0, 1), which is 3 units below the intercept of the original function.
Notice how the entire graph has shifted down by 3 units, while maintaining the same shape as the original exponential function y=4[tex](2)^{x}[/tex].
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Which set of data contains two outliers?
113, 115, 103, 114, 109, 111, 119
141, 151, 138, 142, 149, 140, 150
99, 113, 91, 104, 109, 114, 97
101, 135, 131, 99, 138, 136, 140
Answer:
D.
Step-by-step explanation:
The set of data that contains two outliers is: 101, 135, 131, 99, 138, 136, 140. An outlier is a value that is significantly different from other values. In this set, both 99 and 138 are outliers because they are much lower and higher respectively than the other values. In the other sets, all values are relatively close to each other with no extreme deviations, thus they do not contain any outliers. Outliers can skew statistical analyses and should be removed or treated with caution.
Step-by-step explanation:
The set of data containing two outliers is the last one: 101, 135, 131, 99, 138, 136, 140. This can be determined by analyzing the range and distribution of the data. Two values, 99 and 140, are significantly different from the other values in the set and fall outside the typical range. These two extreme values are considered outliers and can impact the accuracy of any analysis or Scalculations based on the data.
Pls help me I really nee it pls pls pls pls
The graph below was obtained by transforming the graph of the
square root function. Write the equation for the function the
graph represents.
Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: [tex]g(x) = -\sqrt{9(x-1)} +2[/tex]
What is a square root function?In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent functions.Therefore, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;
f(x) = √x
g(x) = -√9(x - 2) + 2
[tex]g(x) = -\sqrt{9(x-1)} +2[/tex]
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Question in picture. Solve please.
Answer:
[tex] \frac{1}{3} \pi( {3.5}^{2} )(11) = 44.9\pi[/tex]
C is the correct answer.
22. Florida has a population of about
2 x 107. The Earth has a population
of about 8 x 10⁹. About how many
times more populated is the Earth
than Florida? Express your answer as a
whole number.
s
Answer:7
Step-by-step explanation:
Use grid paper to find the median of the data. Then find the median of the lower half and the median of the upper half of the data.
82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85
The median is
.
The median of the lower half of the data is
.
The median of the upper half of the data is
.
.
The median is 81.5.
The median of the lower half of the data is 67.
The median of the upper half of the data is 92.
Given a data set,
82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85
Median of a data set is the middle element when the data are arranged in a order.
Arranging in ascending order,
51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98
There are even number of data sets.
So, Median = Average of the middle two elements.
Median = (81 + 82) / 2 = 81.5
Lower half of the data set is,
51, 56, 62, 72, 79, 81
Median = (62 + 72) / 2 = 67
Upper half of the data set is,
82, 85, 89, 95, 97, 98
Median = (89 + 95) / 2 = 92
Hence the median is 81.5, lower half median is 67 and upper half median is 92.
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What's the solution to the inequality x^2 + 2x < or equal to 24?
a) (-infinity, -6] union [4, +infinity)
b) (-6, 4)
c) (-infinity, -6) union (4, +infinity)
d) [-6, 4]
The solution to the inequality x² + 2x ≤ 24 is D. [-6, 4].
What is the general form of a quadratic function?In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;
y = ax² + bx + c
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.Next, we would solve the quadratic function by using the factorization method as follows;
x² + 2x ≤ 24
x² + 2x - 24 ≤ 0
x² + 6x - 4x - 24 ≤ 0
x(x + 6) - x(x + 6) ≤ 0
(x + 6)(x - 4) ≤ 0
x = -6 or x = 4.
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Are △ABC and △DEF similar triangles? Choose all that apply.
No, the corresponding angles are not congruent.
No, the corresponding angles are not congruent.,
No, the corresponding sides are not proportional.
No, the corresponding sides are not proportional.,
Yes, the corresponding sides are proportional.
Yes, the corresponding sides are proportional.,
Yes, the corresponding angles are all congruent.
Answer:
Step-by-step explanation:
No, the corresponding angles are not congruent.,
They have to be EXACTLY the same.
Lol i am learning this to.
It is possible to have a function f:A→B with an element b∈B so that f does not assign any element to b?
Answer:
Yes, it is possible to have a function f:A→B with an element b∈B so that f does not assign any element to b. This happens when b is not in the range of f 1.
I hope this helps!
A carpenter cuts a circle out of a piece of wood. the radius of the circle is about 23 inches. The carpenter cuts the circle into two semicircles. What is the area od one semicircle. Use 3.14 for pi
Answer:
830.53 in²
Step-by-step explanation:
Find the area of the full circle and divide it by 2:Use the circle area formula, A = r²Plug in 3.14 as pi, and plug in the radius:A = r²A = 3.14(23²)A = 1661.06Divide this by 2:1661.06 / 2= 830.53So, the area of one semicircle is 830.53 in²
Answer: The area of one semicircle is approximately 830.53 square inches.
Step-by-step explanation:
The area of a circle is given by the formula:
A = πr²
where A is the area of the circle and r is its radius.
The radius of the circle cut out of the piece of wood is about 23 inches. Therefore, its area is:
A = πr²
A = π(23)²
A = π(529)
A ≈ 1661.06 square inches
The carpenter cuts the circle into two semicircles. Therefore, the area of one semicircle is:
A/2 ≈ 830.53 square inches
Therefore, the area of one semicircle is approximately 830.53 square inches.
I hope this helps! Let me know if you have any other questions.
35% of those falled will find an excuse to avoid jury duty. if 10 people are called for jury duty, then what is the probability that 2 will find an excuse
The evaluated probability that 2 will find an excuse is 12.8%, under the condition that 35% of those failed will evaluate an excuse to avoid jury duty.
According to the data I found, about 23% of those evaluated to find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty.
In the event 10 people are called for jury duty, then the evaluated probability that 2 will find an excuse can be found out using the binomial probability distribution formula.
The formula is:
[tex]P(X=k) = C(n,k) * p{^k }* (1-p)^{(n-k)}[/tex]
Here,
P(X=k) = successes probability of k in n trials
C(n,k) = combinations of number in n things taken k at a time
p= success probability of any one trial
n = trial number
For the given case
k = 2
n = 10
p = 0.23
Staging these values into the formula
[tex]P(X=2) = C(10,2) * 0.23^{2}* (1-0.23)^{(10-2)}[/tex]
= 45 × 0.0529 × 0.5225
= 0.128
Hence, the probability that exactly 2 out of 10 people will evaluate an excuse to avoid jury duty is 0.128 or approximately 12.8%.
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State Inc. decides to issue 10% annual coupon bonds with a maturity of 20 years.
a) Using $1,000 as the face value, what should you pay for this bond if the yield to maturity is 12%? If 10%? If 8%? If 6%. Explain the results.
b) Instead, they decide to borrow $50 million from a bank with a maturity of 5 years. If the interest rate is 8%, what is the monthly payment? What is the balance at the end of 28 months?
The bond price at 12% maturity is $435.42, at 10% maturity is $500.00, at 8% maturity is $607.28, and at 6% maturity is $748.65. The balance at the end of 28 months is approximately $41,097,019.67.
To determine the price of the bond at different yield to maturity rates, we need to use the bond pricing formula
Bond price = (Coupon payment / (1 + YTM)¹) + (Coupon payment / (1 + YTM)²) + ... + (Coupon payment + Face value) / (1 + YTM)ⁿ
Where Coupon payment = Annual coupon rate x Face value
YTM = Yield to maturity
n = Number of years to maturity x Number of coupon payments per year
Using $1,000 as the face value and an annual coupon rate of 10%, we have
At 12% yield to maturity
Coupon payment = 0.10 x $1,000 = $100
n = 20 x 2 = 40
Bond price = ($100 / (1 + 0.12)¹) + ($100 / (1 + 0.12)²) + ... + ($100 + $1,000) / (1 + 0.12)⁴⁰
Bond price = $435.42
At 10% yield to maturity
Coupon payment = 0.10 x $1,000 = $100
n = 20 x 2 = 40
Bond price = ($100 / (1 + 0.10)¹) + ($100 / (1 + 0.10)²) + ... + ($100 + $1,000) / (1 + 0.10)⁴⁰
Bond price = $500.00
At 8% yield to maturity
Coupon payment = 0.10 x $1,000 = $100
n = 20 x 2 = 40
Bond price = ($100 / (1 + 0.08)¹) + ($100 / (1 + 0.08)²) + ... + ($100 + $1,000) / (1 + 0.08)⁴⁰
Bond price = $607.28
At 6% yield to maturity
Coupon payment = 0.10 x $1,000 = $100
n = 20 x 2 = 40
Bond price = ($100 / (1 + 0.06)¹) + ($100 / (1 + 0.06)²) + ... + ($100 + $1,000) / (1 + 0.06)⁴⁰
Bond price = $748.65
To calculate the monthly payment and balance of the loan from the bank, we can use the formula for the monthly payment of an amortizing loan
P = (r × A) / (1 - (1 + r)⁻ⁿ)
where P is the monthly payment, r is the monthly interest rate (which is the annual interest rate divided by 12), A is the loan amount, and n is the total number of months in the loan.
First, we need to calculate the values of r, A, and n
r = 0.08 / 12 = 0.00667 (monthly interest rate)
A = $50,000,000 (loan amount)
n = 5 years × 12 months/year = 60 months (total number of months in the loan)
Now, we can plug these values into the formula to calculate the monthly payment
P = (0.00667 × $50,000,000) / (1 - (1 + 0.00667)⁻⁶⁰)
P ≈ $1,029,299.29
Therefore, the monthly payment on the loan is approximately $1,029,299.29.
To find the balance at the end of 28 months, we can use the formula for the remaining balance of an amortizing loan
B = (P * (1 - (1 + r)⁻ⁿ')) / r
where B is the remaining balance, r is the monthly interest rate, P is the monthly payment, and n' is the number of months remaining in the loan (which is equal to the total number of months minus the number of months already paid).
After 28 months, the number of months remaining in the loan is
n' = 60 - 28 = 32
We can now plug the values of P, r, and n' into the formula to find the balance
B = ($1,029,299.29 × (1 - (1 + 0.00667)⁻³²)) / 0.00667
B ≈ $41,097,019.67
Therefore, the balance at the end of 28 months is approximately $41,097,019.67.
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8.1 CHECK YOUR UNDERSTANDING - TURN ME IN!
1. A recent Pew Research center poll asked a random sample of teens "In general, how much time would you say
you spend with your friends in person." 36 % of the 739 respondents said "too little". We will estimate the
population proportion with 99% confidence.
a) Interpret the confidence level.
36%
b) Construct and interpret a 99% confidence interval for the population proportion.
If you created a 95% confidence interval instead, would it be narrower or wider? Explain.
c) if you created a 95% confidence interval instead would it be narrower or wider
AP STATS
a) The confidence level of 99% means that we are 99% sure that the interval contains the true population proportion.
b) The 99% confidence interval for the population proportion is given as follows: (0.3145, 0.4055). It means that we are 99% sure that the true population proportion is between 0.3145 and 0.4055.
c) The 95% confidence interval would be narrower, as it would have a lower critical value, thus the margin of error would also be lower.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which the variables used to calculated these bounds are listed as follows:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The parameters for this problem are given as follows:
[tex]\pi = 0.36, n = 739[/tex]
The lower bound of the interval is given as follows:
0.36 - 2.575 x sqrt(0.36 x 0.64/739) = 0.3145.
The upper bound of the interval is given as follows:
0.36 + 2.575 x sqrt(0.36 x 0.64/739) = 0.4055.
More can be learned about the z-distribution at https://brainly.com/question/25890103
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3/10+63/100 what is this
Answer:
The answer would be 0.93!
Step-by-step explanation:
Jack went for a mountain hike. On his way up, he traveled
at a speed of 2 mph. He reached the summit in 3 hours. On his
way back down, Jack jogged at a speed of 5 mph. Write
the formula that describes how the distance Jack covered during
the hike depends on the amount of time that he traveled.
Answer:
d = (20/7)t
Step-by-step explanation:
You want the distance traveled as a function of travel time if Jack's speed going up was 2 mph and going down was 5 mph.
TimeThe relation between time, speed, and distance is ...
t = d/s
If the total distance is d, the total travel time up and back is ...
t = t1 +t2
t = (d/2)/(2) +(d/2)/5 = d(1/4 +1/10) = 0.35d
Solving for distance, we have ...
d = t/0.35
d = (20/7)t . . . . miles, where t is in hours
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evaluate the following 12.45x11