Answer:
(0.806, 0.839)
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].
Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation.
This means that [tex]n = 3653, \pi = \frac{3005}{3653} = 0.823[/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].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 - 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.806[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 + 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.839[/tex]
The answer is (0.806, 0.839)
What’s 22,000 - 407% of 60?
Answer:
21,755.8
Step-by-step explanation:
To solve this equation, we must first find 407% of 60.
To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.
407/100 x 60/1 = 24,420/100
24420 / 100 = 244.2
244.2 is 407% of 60.
Lastly, you subtract 244.2 from 22,000.
22,000 - 244.2 = 21,755.8
Answer:
21755.8
Step-by-step explanation:
407%=4.07
4.07*60=244.2
22,000-244.2=21755.8
6 A train has 1 first-class carriage and 6 standard carriages. The first-class carriage has 64 seats. are being used. Each standard carriage has 78 seats. in each carriage are being used. Are more than half the seats on the train being used?
Answer:
YES
Step-by-step explanation:
(3/8)·64 = 24 seats in the first class carriage are being used.
(7/13)·(78)·3 = 126 seats in the standard carriages are being used, for a total of ...
24 + 126 = 150 . . . occupied seats
The number of available seats is ...
64 +3·78 = 298
so half the seats on the train will be 298/2 = 149 seats.
150 > 149, so more than half the seats on the train are being used.
Calculate the Volume
Pls help
Answer:
420
Step-by-step explanation:
Multiply length, times width, times height to get your answer.
7 times 12 times 5=420
For what value of z would the following system of
equations be true for all real integers?
3x-2y = 14
-12x+8y = 8z
9514 1404 393
Answer:
z = -7
Step-by-step explanation:
The equations will be true for all real integers when they are a dependent set. That will be the case when the second equation is a multiple of the first.
Already, we observe that the ratios of x- and y-coefficients are -4:
-12/3 = -4
8/-2 = -4
The equations will be dependent when the constants have that same ratio:
8z/14 = -4 . . . . desired ratio
8z = -56 . . . . . multiply by 14
z = -7 . . . . makes the equations true for all real numbers
_____
Comment on the question
The system of equations can be made inconsistent (no solutions) or consistent & dependent (infinite solutions) by the choice of z.
However, integer solutions are limited to pairs of the form (2n+2, 3n-4) for integer values of n. The values of x and y are not "all real integers".
Consequently, we have interpreted the question to be asking for the value of z that will make the system of equations have an infinite number of solutions, including both rational and irrational, real and complex values of x and y. They cannot be made to be true for "all real integers" by any choice of z.
Answer:
z = -7 is the answer.Step-by-step explanation:
#CarryOnLearningPLEASE TELL ME PLEASE
Answer: D!! also 35% are spotted
Answer:
The answer is a.
Step-by-step explanation:
This is because the percent is out of 100 and the flock of spotted sheep is placed in the numerator.
A snake at the zoo is 4 feet long. A scale model of the snake is 2 inches long. What is the scale factor?
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius ?
Step-by-step explanation:
Cone Volume = 1/3 ×( π r² h) h = 2 × diameter = 2 × 2 × r
Cone Volume = 1/3 ×( π r² h) h = 2 × diameter diameter = 2r
= 2 × (2 × r)
= 4r
Cone Volume = 1/3 ×( π r² 4r)
= (4 π r³ / 3)
Find the volume.
Pls help!
Answer:
72 in^3
Step-by-step explanation:
Volume: lwh
V = 6 · 3 · 4
V = 18 · 4
V = 72 in^3
Help me fellow idiots (jk)
Answer:
[tex] \frac{4}{5} [/tex]
Can someone help me with this problem please. ( I need it as fast as possible).
Answer:
D-B-A-C
Step-by-step explanation:
Which list shows the numbers NOT in order from greatest to least
Answer: C.
Step-by-step explanation:
You notice how the number goes from
3.50 to 3.62 to 3.49 to 3.88
hThe 3.49 is out of place. Thus ruining the order of least to greatest.
Answer: Hewo, there your Answer is Below
My answer would Be C
Step-by-step explanation:
I chose this Answer Because, It starts with 3.5 and then 3.62 and then 3.498
Hope this helps you!!
Have a great day!!!
Approximate, in square meters, the area of a circle with radius = 58.2 m. (Round your answer to three decimal places.)
Answer:
10,635.934 m^2
Step-by-step explanation:
The formula for area of a circle is π r² (pi ⋅ radius ⋅ radius)
According to the word problem, 58.2 is the radius.
Now that we know the radius, we have our final equation:
pi ⋅ radius ⋅ radius
(3.14 IS USED FOR PI)
3.14 ⋅ 58.2 ⋅ 58.2 = 10,635.9336
10,635.9336 rounded to the three decimal places (to the nearest thousandth): 10,635.934
Therefore, the area of this circle in square meters is 10,635.934 m^2.
4. A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340 in Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?
O4x^2 + 367 = 20
O4x^2 + 72x = 20
O2x^2 + 72 = 20
O2x^2 + 36x = 20
The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.
What is Area ?Area is the space occupied by any surface ,It is measure in square units of length.
It is given that
A photographer needs a frame for a 16 x 20 inch picture
total area is 340 sq. in
width of the frame =?
Let width of the frame be x
The frame is in the shape of a Rectangle
Side of the frame = ( 16+2x) and (20 +2x)
Area of a frame = Total Area - Area of the picture
Total Area = ( 16+2x) (20 +2x)
( 16+2x) (20 +2x) = 340
320 + 72x +4x² = 340
72x +4x²= 20
4x² + 72x = 20
The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.
To know more about Area
https://brainly.com/question/27683633
#SPJ2
Help fast pls. I will surely mark you brainliest. Answer step by step
Sohail, Amar, raja, and Mira go to a restaurant to have diner, Sohail pays 1/5 of the bills, Amar pays 2/5 of it and the balance is shared equally between raja and Mira. Who pays the maximum amount?
Answer:
Amar pays the most
Step-by-step explanation:
Amar pays the most, because Mira and Raja split the bill, so they onyl need to pay 1/5 each. However, Amar needs to pay 2/5 which is the most.
Hope this helps!
$1234 is invested at 5.6% annual interest for 7 years.
a. Simple Interest b. Compound Interest
Answer:
A) $1,717.73.
B) $1,807.02.
Step-by-step explanation:
Given that $ 1234 is invested at 5.6% annual interest for 7 years, to determine the final amount applying a simple interest and a compound interest, the following calculations must be performed:
A)
1234 + ((1234 x 0.056) x 7) = X
1234 + (69.104 x 7) = X
1234 + 483.728 = X
1717.728 = X
Therefore, applying a simple interest of 5.6% per year, in 7 years the amount invested would be $ 1,717.73.
B)
1234 x (1 + 0.056) ^ 7 = X
1234 x 1.056 ^ 7 = X
1234 x 1.464 = X
1,807.02 = X
Therefore, applying compound interest, the sum would become $ 1,807.02.
CAN SOMEONE PLS DO TBJS U HAVE TO SHOW WORK BUT ITS EASG AND DOESNT NEED TO BE PERFECTT
Answer:
area? is that what u need? or perimeter
Step-by-step explanation:
Find the values of x and y to make the equation true.
-2x + 61 = (-24y)i - 14
(1 point) Rewrite the logarithmic expression \log(A\sqrt{B}) \log(A^2) in equivalent logarithmic form. There may be more than one correct answer. A. \log(A) - 2\log(B) \log(A^2) B. \frac{\log(A)\log(B)}{2} 2\log(A) C. \log(A) \frac{1}{2}\log(B) \log(A^2) D. \log(A^{3}) \frac{1}{2}\log(B) E. 3\log(A) \frac{1}{2}\log(B) F. \log(A^3\sqrt{B}) G. None of the above
Answer:
Step-by-step explanation:
Answer:
C.D.E.F
Step-by-step explanation:
log(A\sqrt{B}) \log(A^2)
A. \log(A) - 2\log(B) \log(A^2)
Answer A is wrong because sqrt is denoted by 1/2 and the coefficient of log B is 2 not 1/2
B. \frac{\log(A)\log(B)}{2} 2\log(A)
Answer B is wrong because 2 is multiplied by B instead of 1/2
C.\log(A) \frac{1}{2}\log(B) \log(A^2)
Answer C is correct because 1/2 is multiplied by log B
D. \log(A^{3}) \frac{1}{2}\log(B)
Answer D is also correct because 1/2 is multiplied by log B
E. 3\log(A) \frac{1}{2}\log(B)
Answer E is also correct because 3 is co efficient of log A
F. \log(A^3\sqrt{B})
This is correct. Here the log is applied to the given fraction
The lengths of a certain species of beetles are normally distributed with a mean of 1.9 centimeters and a standard deviation of 0.2 centimeters.
What is the z-score of a beetle of this species with a length of 2.38 centimeters?
Enter your answer in the box.
Enter your answer, rounded to the nearest tenth, in the box.
Answer:
The z-score of a beetle with a length of 2.38 centimeters is 2.4
Step-by-step explanation:
As we know,
z = (x - µ)/σ
x is the length of the beetle species.
µ is the mean length
σ is the standard deviation
Substituting the given values in above equation, we get
z = (2.38 - 1.9)/0.2
z = 0.48/0.2
z = 2.4
A large school district claims that 80% of the children are from low-income families. 150 children from the district are chosen to participate in a community project. Of the 150 only 70% are from low-income families. The children were supposed to be randomly selected. Do you think they really were
Incomplete question. However, I answered from a general research perspective.
Explanation:
Note, the term sample used in statistical research refers to subjects or persons carefully selected (using a particular sampling method/type ) to represent the target population.
A randomly selected sample could be done as either:
Simple Random Sampling Stratified Random Sampling Cluster Random Sampling.Systematic Random Sampling.Using any of the above sampling methods could result in 70% of the population being from low-income families as this is a matter of chance. Hence, we can agree with the research results.
Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.
At the null hypothesis, we test if they were really randomly selected, that is, the proportion is of 80%:
[tex]H_0: p = 0.8[/tex]
At the alternative hypothesis, we test if they were not randomly selected, that is, the proportion is of less than 80%.
[tex]H_1: p < 0.8[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.8, n = 150, \overline{p} = 0.7[/tex]
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.7 - 0.8}{\sqrt{\frac{0.8(0.2)}{150}}}[/tex]
[tex]z = -3.06[/tex]
The critical value for a left-tailed test, as we are testing if the proportion is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex].
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.
A similar problem is given at https://brainly.com/question/24166849
A group of friends are dining at a pizza parlor. They have 1 1/2 pizzas. If each friend eats 1/4 of a pizza, how many friends can have an equal share?
Simplify your answer
Answer:
6 friends can share the pizza
Step-by-step explanation:
1 1/2 ÷ 1/4 =6
Answer:
Divide 1 1/2 by 1/4. Note that 1 1/2 = 1 2/4 = 6/4. So now we divide 6/4 by 1/4, obtaining 6.
6 friends can enjoy an equal share.
Which is an equivalent way to express 3y
Answer:
3 f(x)
Step-by-step explanation:
this is very open-ended, (6y)/2 is equal to 3y
MAX POINTS PLEASE HELp
part a. What are the values of x and y? If your answer is not a whole number, write it as a decimal and round to one decimal place if necessary.
part b:
Here is a triangular prism.
What is the volume of the prism, in cubic centimeters?
cubic centimeters
What is the surface area of the prism, in square centimeters?
cubic centimeters
Answer:
X=35 Y=73
Step-by-step explanation:
use the opposite angle theorem for x. X would equal 35.
we know that x is 35. So 2y+35=180
180-35=2y
y=72.5 or 73
srry I can’t help with question 2. I don’t know how
7.2x14.3 what is that?
Answer:
102.96
Step-by-step explanation:
Answer:
[tex]102.96[/tex]
Step-by-step explanation:
7 . 2
× 14 . 3
___________
²2 . 16
²28 . 80
72 . 00
____________
¹1¹02.96
Therefor, the answer is 102.96
If a triangle has a center of dilation at the origin and a scale factor of two. if point he was at(-2,-3) what would point A’ would be.
Answer: Second option.
Step-by-step explanation:
First it is important to remember the definition of Dilation.
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.
In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.
According to the exercise, the point C has these coordinates:
Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.
Then, you get that the coordinates of the point C' are:
The admission fee at an amusement park is $3.50 for children and $5.40 for adults. On a certain day, 351 people entered the park, and the admission fees collected totaled $1523. How many children and how many adults were admitted?
Answer:
Adults=155, children = 196
Step-by-step explanation:
pls help its due soon
Ana is baking cookies for her family reunion. Her recipe uses 3/4 cup sugar and has a yield of 24 cookies. How many cups of sugar will Ana need if she wants to bring 10 dozen cookies? (1 dozen = 12).
9514 1404 393
Answer:
3 3/4 cups
Step-by-step explanation:
The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.
As a mixed number 15/4 = 3 3/4.
Ana will need 3 3/4 cups of sugar for 10 dozen cookies.
Answer:
Solution given:
recipe use 3/4 cup of sugar for 24 or 2 dozen Cooke's
now
we have
2 dozen=3/4 cup of sugar
10dozen=3/4×10/2=15/2 cup of sugar is needed
plsss help me and fast
Answer:
234 Square Inches
Step by Step Explanation:
To find the area of a parallelogram, we must first find the height. In this case, it is 18. Then, we must find the base. In this case, it is 13. Then, we multiply base x height for our final answer of 234.
Base - 13
Height - 18
18 x 13 = 234.
Easy enough?
Circuit boards from two assembly lines set up to produce identical boards are mixed in one storage tray. As inspectors examine the boards, they find that it is difficult to determine whether a board comes from line A or line B. A probabilistic assessment of this question is often helpful. Suppose that the storage tray contains 10 circuit boards of which six came from line A and four from line B. An inspector selects two of these identical-looking boards for inspection. He is interested in X, the number of inspected boards from line A.
a. Find the probability function for X .
b. Graph the probability function of X .
c. Find the distribution function of X .
d. Graph the distribution function of X .
Answer:
a) X = 2/15 , 8/15, 1/3
b) attached below ( probability plot )
C) F(x ) attached below
d) cumulative probability plot
Step-by-step explanation:
a) Determine the probability of Function X
P( x = 0 ) = 6 / 45 = 2 /15 = 0.1333
P( x = 1 ) = 8/15 = 0.5333
P( x = 2 ) = 1/3 = 0.3333
Hence the probability of Function X = 2/15 , 8/15, 1/3
b) Graph of the probability Function of X
x 0 1 2
p(x) 0.1333 0.5333 0.3333
attached below is the plot ( probability plot )
c) Determine the Distribution function of CX
using the results achieved in part ( a )
attached below is the solution
d) Graph of distribution function of X
x 0 1 2
p(x) 0.1333 0.6667 1
attached below is the plot ( cumulative probability plot )
