Answer:
A sample size of 392 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
18% of students struggle in their classes because they don't spend more than 8 hours studying independently outside of a 4-unit class.
This means that [tex]\pi = 0.18[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
You would like to be 99% confident that your estimate is within 5% of the true population proportion. How large of a sample size is required?
A sample size of n is required.
n is found when M = 0.05. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 2.575\sqrt{\frac{0.18*0.82}{n}}[/tex]
[tex]0.05\sqrt{n} = 2.575\sqrt{0.18*0.82}[/tex]
[tex]\sqrt{n} = \frac{2.575\sqrt{0.18*0.82}}{0.05}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575\sqrt{0.18*0.82}}{0.05})^2[/tex]
[tex]n = 391.5[/tex]
Rounding up:
A sample size of 392 is required.
What’s the area of the figure below?
Answer:
482.5 ft^2.
Step-by-step explanation:
The figure can be regarded as a rectangle with a triangle cut out of one corner.
The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.
The required area = area of rectangle - area of triangle
= 25*20 - 1/2 * 5 * 7
= 500 - 17.5
= 482.5 ft^2
9514 1404 393
Answer:
482.5 square inches
Step-by-step explanation:
The figure can be considered to be a 25 in by 20 in rectangle with a 5 in by 7 in triangle cut off the corner. Then the area of the figure is the area of the rectangle, less the area of the triangle.
A = LW - 1/2bh
= (25 in)(20 in) - 1/2(5 in)(7 in) = 500 in² -35/2 in² = 482 1/2 in²
The area of the figure is 482.5 square inches.
?! if you make $20,800 a year, what is your weekly salary? there are 52 weeks in a year
Answer:
you would make 400 each week
Step-by-step explanation:
Ashas age is twice the age of Roman. After how many years will Roman be two third of Ashas age?
Answer:
5
Step-by-step explanation:
Please help me please
Answer:
F
Step-by-step explanation:
Andrew, Blake, Jamal, Ernesto
what is the answer ?
640
240
300
and 320
Step-by-step explanation:
10±10±30±30=80
8round = 80×8=640
don't forget me to followlook at the picture above please help
Answer:
♨ [tex] \underline{ \underline{ \red{\large {\tt{Step - By - Step \: Explanation}}}}} : [/tex]
☄ [tex] \underline{ \underline{ \large{ \pink{ \tt{G \: I\: V\: E \: N}}}}} : [/tex]
Height ( h ) = 4 cm , Base ( b ) = 16 cm☂ [tex] \underline{ \underline{ \large{ \purple{ \tt{T \: O \: \: F \: I \: N \: D}}}} }: [/tex]
Area of the parallelogram☃ [tex] \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: [/tex]
☼ [tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}[/tex]
~Plug the known values & then multiply!
⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}[/tex]
⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }[/tex]
☥ [tex] \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}[/tex]
♡ Hope I helped! ツ
Have a wonderful day / night !
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✔
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\huge \fbox \pink {:}\huge \fbox \pink{-}[/tex]
Given:
base[b]=16cm
height [h]=4cm
we have
Area of parallelogram=base ×height
=16×4=64cm²is your answer.
A football coach expects 453 people to come to the next game. A set of bleachers holds 56 fans. If each set of bleachers costs $99, will the coach need to spend more than $1,000 for the bleachers? How can you decide without using division? and links are included to but if it is to cheat i am reporting them
Answer:
No need to spend more than $ 1,000
Step-by-step explanation:
assume the coach needs 10 set
10 set will cover 10×56 = 560 people that more than 453.
so,
the cost is only 10× $99 = $ 990
that less than $ 1,000
Answer:
Fewer than 10 sets of bleachers are needed. This is because 5610 560, which is greater than 453. The cost of 10 sets of bleachers would be $9910 $ 990, which is less than $1,000. The coach will not need to spend more than $1,000 for the bleachers.
Currently, the number of people entering a shopping mall is 109. It is estimated that the number of people entering the shopping mall will decrease by 3% each hour. Find the total number of people entering the shopping mall at the end of 4 hours. (Round your answer to the nearest whole number if necessary.)
Answer:
96 people.
Step-by-step explanation:
Exponential equation for a decreasing amount:
The exponential equation for a decreasing amount is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial rate and r is the decay rate, as a decimal.
Currently, the number of people entering a shopping mall is 109.
This means that [tex]A(0) = 109[/tex]
It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.
This means that [tex]r = 0.03[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 109(1-0.03)^t[/tex]
[tex]A(t) = 109(0.97)^t[/tex]
Find the total number of people entering the shopping mall at the end of 4 hours.
This is A(4). So
[tex]A(4) = 109(0.97)^4 = 96.49[/tex]
Rounding to the nearest whole number, 96 people.
Let g(x)x and h(x)
. Evaluate .
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Answer:
h(g(x)) = (1/5)x² +4/5
Step-by-step explanation:
[tex](h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}[/tex]
Which of the following lists all the positive factors of 8?
O 1,8
O 2,4
O 2, 4, 6
O 8, 16, 32
O 1, 2, 4, 8
Calculator
Solve t - 4 > 12
1. t > -12
2. t > 12
3. t > -16
4. t > 16
Answer:
4. t>16
hope it helps......
Which of the following is an example of a two-way ANOVA test? a.) Comparing the number of hours of sleep for freshman, sophomores, juniors, and seniors. b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night. c.) Studying the number of hours of sleep for freshmen, sophomores, and juniors. d.) Comparing the number of hours that freshman and seniors study during a semester.
Answer:
b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night.
Step-by-step explanation:
Analysis of Variance could be referred to as a form of statistical test which is used to evaluate the average or mean changes of a continous dependent variable based on the different combination of the input levels of TWO independent or predictor variables. From the options given, the option selected, the analysis is based on TWO independent, predictor variables which are hours of study in a semester and the number of sleeping hours for 3 different levels or categorical groups of students (Freshman, sophomore, Junior and Seniors) get at night.
Since, we can identify two distinct independent variables, then it is fit for analysis using a 2 - way ANOVA.
If θ is a second-quadrant angle and cosθ = - 2/3, then tanθ=
a. -2 (sqrt 5)/5
b. - (sqrt 5)/2
c. - (sqrt 5)/3
Answer:
since in second quadrant cos θ is negative.
Cos θ=b/h=2/3
b=2
h=3
p=√(3²-2²)
p=√5
Now
Tan θ=p/b=√5/2
since in second quadrant tanθ is negative
so
Tanθ=-√5/2
b. - (sqrt 5)/2
In second Quadrant cos is negative
cosØ=b/h=2/3So
b=2 and h=3
Perpendicular
p²=h²-b²p²=3²-2²p²=5p=√5tanØ=-p/b =-√5/2
all real numbers are complex numbers also. true or false?
Answer:
From the first definition, we can conclude that any imaginary number is also a complex number. From the second definition, we can conclude that any real number is also a complex number.
Anybody know the answer to this problem be correct
Answer:
28 out of 40
2(20 - x)/40 for x questions wrong
Step-by-step explanation:
total points: 40
total Qs: 20
20-6 = 14
14/20 = 28/40
28
What is an equation of the line that passes through the points (4, -1) and
(-8, –7)?
Answer:
y=1/2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-(-1))/(-8-4)
m=(-7+1)/-12
m=-6/-12
m=1/2
y-y1=m(x-x1)
y-(-1)=1/2(x-4)
y+1=1/2x-4/2
y=1/2x-2-1
y=1/2x-3
Carol has 8 3/4 yards of material. She needs to use 1/3 of the material to make a dress. How many yard of material will she need to make the dress
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Answer:
2 11/12 yards
Step-by-step explanation:
Sometimes it works best to use improper fractions when multiplying mixed numbers and/or fractions.
1/3(8 3/4) = 1/3(35/4) = 35/12 = 2 11/12
Carol will need 2 11/12 yards of the material for the dress.
Answer:
2 11/12 yards
Step-by-step explanation:
What are the values of a, b, and c in the quadratic equation –2x2 + 4x – 3 = 0?
a = 2, b = 4, c = 3
a = 2, b = 4, c = –3
a = –2, b = 4, c = 3
a = –2, b = 4, c = – 3
Answer:
a = –2, b = 4, c = – 3
Step-by-step explanation:
We are given the following quadratic equation in the question:
-2x^2 + 4x - 3 = 0−2x
2
+4x−3=0
General form of quadratic equation:
ax^2 + bx + c = 0ax
2
+bx+c=0
Comparing the given equation to general quadratic equation, we get,
a = -2, b = 4, c = -3a=−2,b=4,c=−3
Thus, the correct answer is
Option D) a = –2, b = 4, c = – 3
The values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3
What is a quadratic equation?The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given is a quadratic equation -2x²+4x-3 = 0, we need to find the values of a, b, and c in the given quadratic equation.
The standard equation of a quadratic equation is ax²+bx+c = 0,
Comparing the given equation with the standard equation,
We get, a = -2, b = 4, c = -3
Hence, the values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3
Learn more about quadratic equation click;
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An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9. Is there sufficient evidence at the 0.1 level to support the testing firm's claim?
Answer:
The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.
Step-by-step explanation:
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:
At the null hypothesis, we test if the mean is the same, that is:
[tex]H_0: \mu = 59.5[/tex]
At the alternate hypothesis, we test that it is different, that is:
[tex]H_a: \mu \neq 59.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
59.5 is tested at the null hypothesis:
This means that [tex]\mu = 59.5[/tex]
After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.
This means that [tex]n = 250, X = 59.2, \sigma = 1.9[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}[/tex]
[tex]z = -2.5[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.
Looking at the z-table, Z = -2.5 has a pvalue of 0.0062
2*0.0062 = 0.0124
The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.
Find the value of x.
Answer:
[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]
Find the measure of angle BAC. (The figure is not drawn to scale.)
A. 22
B. 34
C. 68
D. 136
If angle BOC in circle is 68° then the measure of angle BAC is 34°.
Given that angle BOC in the circle is 68°.
We have to find the angle BAC.
We have that m∠BOC=arc BC ------by central angle.
we have m∠BOC=68°.
therefore arc BC=68°.
We know that the inscribed angle is half that of the arc it comprises so m∠BAC=1/2 *(arc BC)-----1
In geometry one of the theorem states states that angle at the center of a circle is twice angle at the circumference.
We have that arc BC=68°
substitute arc BC in equation 1 to get the measurement of ∠BAC.
m∠BAC=[tex]68/2[/tex]
=34°
Hence if angle BOC in circle is 68° then the measure of angle BAC is 34°.
Learn more about angles at https://brainly.com/question/25716982
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Which one is correct?
Answer:
C! I remember this hehehehe xD
This is the other question but also you can use the letters that’s on the right side !!
Answer:
Chrome and camera. 1000 mistakes
Step-by-step explanation:
bvggifui good go you uuuu to yyytyyyyggyhgghhhghhhhhhhhhbbhvvvdf uh oh utgggy
If 3x + 11 = 4x - 5, what is x?
Answer:
16v
Step-by-step explanation:
3x + 11 = 4x - 5
11+5 = 4x -3x
x = 16
I hope im right!!
2x+3x-4y+7y-x+20. Find equal expressions
Answer: 4x + 3y +20 is your answer hope this helped
plz make brainly
Step-by-step explanation:
i hope it helps XD......
Use the table to work out the values of a, b, c, and d.
20
= 22 + 3
2
_3
2
2
a
1
b
0
-2
1
2
2
с
3
d
a =
b =
с
= d
Step-by-step explanation:
A jar contains 4 marbles marked with the numbers 1 through 4. You pick a marble at random. What is the
probability of not picking the marble marked with the number 3? Enter your answer as a simplified
fraction.
The probability of not picking the marble marked with the number 3 is
Answer:
p =favorable outcome/possible outcome
p(not 3)=3/4
Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/20 liter of paint. How many statues can she paint?
Answer:
she can paint 17 statues (with some paint left,but not enough for another statue)
Step-by-step explanation:
7/8 divided into 1/20
is the same as 7/8 multiplied by 20/1
7/8 x 20/1 = 140/8 = 17.5
What are the characteristics of a function and how can we identify them?
Answer:
A function is a mathematical relationship where all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function.
x is most of the time the input and y the output for an equation:
y = 2x
of course the input and output could be any variable.
Step-by-step explanation:
Have a nice day!
How many centimeters are equal to 0.4 inches? Remember, 2.54 cm = 1 in.
Enter you number as a decimal and round to the nearest hundredth. 
Answer:
1.016 cm
Step-by-step explanation:
1 inch = 2.54 cm
0.4 inch = 2.54 * 0.4 cm = 1.016 cm