Complete Question
The data for this question is shown on the first uploaded image
Answer:
The 95% confidence interval estimate of the population percentage is
[tex] 33.2\% < p < 76.8 \% [/tex]
Step-by-step explanation:
On the data the first value is the height of the president while the other value is the height of his opponent
The sample size is n = 20
Looking at the data we see that out of the 20 presidents that only 11 is taller than their opponent
So the proportion of presidents that are taller than their opponents is
[tex]\^ p = \frac{11}{20}[/tex]
=> [tex]\^ p = 0.55[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p) }{n}} [/tex]
[tex]E = 1.96 * \sqrt{\frac{0.55 (1- 0.55) }{20}} [/tex]
[tex]E = 0.218[/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex]0.55-0.218 < p < 0.55+ 0.218 [/tex]
=> [tex]0.332 < p < 0.768 [/tex]
Converting to percentage
[tex](0.332*100)\% < p < (0.768 *100) \% [/tex]
=> [tex] 33.2\% < p < 76.8 \% [/tex]
Question 7 of 10
A birthday cake was cut into equal pieces, and six pieces were eaten. The
fraction below shows how many pieces are left. According to the fraction,
how many pieces were not eaten?
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A. 3
B. 15
C. 6
O D. 9
Answer:
Huh...?
Step-by-step explanation:
Answer:
Need to know the fraction
Step-by-step explanation:
1. Simplify 3√-8x24y36
2. Simplify 3√-50 Enter your answer, in simplest radical form, in the box.
Answer:
√3
Step-by-step explanation:
Factor 3 into its prime factors
3 = 3
Note that 3 is a prime number, it only has itself as a factor (that is on top of the trivial factor "1")
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified
The simplified SQRT looks like this:
sqrt (3)
hola necesito eso urgente porfavor lo tengo que entregar en 2 horas
A box contains 15 large marbles and 11 small marbles. Each marble is either green or white. 9 of the large marbles are green, and 3 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or white? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
The probability of selecting a small or white marble is 10/13
Step-by-step explanation:
The total number of marbles is 15 + 11 = 26 marbles
The probability that we want to calculate is if the marble selected is small or white.
So we need to find the number of small marbles as well as the number of white marbles
We can construct a table to see the distribution of the marbles. Please check the attachment for this.
From the table , we can see that there are 11 small marbles and a total of 9 white marbles
The probability of selecting a white marble is;
number of white marbles/total number of marbles = 9/26
The probability of selecting a small marble will be ;
number of small marbles/total number of marbles = 11/26
In probability, whenever we have or, we tend to add
So therefore, the probability of selecting a white or small marble = Probability of selecting a white marble + Probability of selecting a small marble
Mathematically, that would be 9/26 + 11/26 = 20/26
So the probability is 10/13
WILL GIVE BRAINLIEST! What is 24 written as a percent?
Answer:
24%
Step-by-step explanation:You divide it by a hundred percent and overall it equals 24% since 24 out of one hundred (24/100) it would be 24% of that.
Now you owe me brainly. Thanks.(:
For each equation, find y when X=-3
a) y = 6x + 8
b) y = 1.5x + 11
there are 15 male teachers in the school. there are 35 female teachers in the school
Answer:
There are total 50 teachers, 30% are male, 70% are female
Step-by-step explanation:
There is no specific question, but I just put the percentage of each gender teacher. Hope this is the question you were trying to find!
Can you help me find the values of x and z?
Answer:
x = 96
z = 25
Step-by-step explanation:
x and 84 are supplementary angles.
this means that they add together to make 180.
using this, you can make the following equation:
x + 84 = 180
subtract 84 from both sides of the equation
x + 84 - 84 = 180 - 84
x = 180 - 84
x = 96
84 and 3z + 9 are vertical angles
vertical angles are equal.
using this, you can make the following equation:
84 = 3z + 9
subtract 9 from both sides of the equation
84 - 9 = 3z
75 = 3z
divide both sides of the equation by 3
75/3 = 3z/3
25 = z
What is the domain of this quadratic function?
The graph goes on forever in both directions along the x axis. This indicates any x value can be plugged into the quadratic to get some y output. There are no restrictions. The domain is the set of all possible x inputs of a function.
At the start of the football game, there were 840 fans in the stadium. It began to rain during halftime, so 10% of the fans went home.
During the 3rd quarter of the game, the visiting team scored five touchdowns, so 25% of the remaining fans went home.
How many fans were in the stadium after the 3rd quarter?
The table shows ticket prices for the local minor
league baseball team for fan club members and
non-members. For how many tickets is the cost the
same for club members and non-members?
Answer:
2x club member ticket = 1x non-club member ticket
math question geometry
Answer:
Step-by-step explanation:
Area=7*7=49
?*7=49*2
?*7=98
?=98:7
?=14
will be nice if you give me brainlies.Good luck!
The function f (x) = 6x + 13 defines a
sequence for x > 1. What are the first three
terms of the sequence?
Answer:
15, 21, 27
Step-by-step explanation:
Given the function :
f(x) = 6x + 13 ; which defines a sequence for x > 1
The first three terms of the sequence ;
x > 1 ;
Hence x = 2, 3, 4
The sequence :
f(2) = 6(2) + 3 = 12 + 3 = 15
f(3) = 6(3) + 3 = 18 + 3 = 21
f(4) = 6(4) + 3 = 24 + 3 = 27
r.i.p walter wallace Jr
What is the area of rhombus ABCD?
24.57 cm^2
39.00 cm^2
98.28 cm^2
78.00 cm^2
Step-by-step explanation:
The area of rom boss is 78.00cm friend
Answer: 98.28 cm^2 Is your correct answer
Step-by-step explanation:
Hope this helps:)
How many more cards does Linda make more than paul during the week? Enter the answer in the box.
Answer:
108
Step-by-step explanation:
72 / 2 = 36 x 3 = 108 yup yup
Solve the following literal equation for w X = wy/c
Answer:
w = xc/y
Hope this helps!
X
O f(x) = x(x – a)(x - b)3
O f(x) = (x - a)2(x – b)4
O f(x) = x(x – a) (x – b)2
O f(x) = (x - a) 5(x - b)
Answer:
f(x)=x(x- a) (x - b) 2 that is the answer good luck
Find the solution of this system of equations
4x - 2y = 0
-X - 2y = -25
Answer:
y = 25
X = 25/2 is the value of X an dy
Answer:
x=5
y=10
Step-by-step explanation:
4x-2y=0
-x-2y=-25
subtract
5x=0-(-25)
5x=25
x=25/5=5
-5-2y=-25
2y=-5+25
2y=20
y=20/2=10
how many solutions does a dependent system of equations have?
Describe the transformation of y=f(x) for the new function f(x)=2/3|x-7|
Answer:
Stretch of 2/3, right by 7
I need an answer asap
Answer: The answer is 120
Step-by-step explanation: you add 50+70 and u will get 120
Matthew can write 7 paragraphs in 35 minutes. How many
paragraphs can he write in 20 minutes?
Give the coordinates of the point located halfway between (2,1) and (2,4) Answer>
Answer:
(2,[tex]\frac{5}{2}[/tex])
Step-by-step explanation:
Midpoint formula: M=([tex]\frac{x_{1} +x_{2} }{2}[/tex],[tex]\frac{y_{1} +y_{2} }{2}[/tex])
M=([tex]\frac{2+2}{2}[/tex],[tex]\frac{1+4}{2}[/tex])
=([tex]\frac{4}{2}[/tex],[tex]\frac{5}{2}[/tex])
=(2,[tex]\frac{5}{2}[/tex])
Evaluate the expression (x - y)^2 – x when x=3 and y=8
HELP PLEASE‼️‼️
Answer:
22
Step-by-step explanation:
Step 1: fill in the equation
(3-8)^2-3
Step 2: simplify
= -5^2-3
= 25-3
Step 3: solve
= 22
Answer:
This would change into (9 - 64) - 3 which would change to, -55 - 3 = -58
Step-by-step explanation:
Hope this helped!
A concert started at 5:22 PM on a Friday. The concert ended at 7:04 PM. How long did the concert last?
Answer: 1 hour 42 minutes
Answer:
1 hour and 42 minutes
Step-by-step explanation:
Express 700 as a product of its prime factors in index form.
NO SILLY ANSWERS OR REPORT!!
Answer:
5^2 x 2^2 x 7
Step-by-step explanation:
Plzzzzzzz I neeed number 7 I’ll give brainly
Answer:
Removing the -6 makes the average go from 4.1 to 5.2
Removing the -6 makes the median go from 4 to 5
Step-by-step explanation:
Average:
-6+3+3+3+3+5+6+6+8+10 = 41
41/10 = 4.1 (This is the mean/average)
If we remove -6, then:
3+3+3+3+5+6+6+8+10 = 47
47/9 = 5.2222 (This would be the new average)
So removing the -6 makes the average go from 4.1 to 5.2
Median:
The median of (-6+3+3+3+3+5+6+6+8+10) is between 3 and 5, so the median is 4.
Without -6, the median of (3+3+3+3+5+6+6+8+10) is 5.
So removing the -6 makes the median go from 4 to 5
Find the GCF of 6 and 15 using lists of factors.
Answer:
gcf of 6 and 15 is 3
Step-by-step explanation:
multiples of 6 are 6, 12, 18, 24, 30, 36, 42, and 48
multiples of 15 are 1, 2, 3, 6, 9, 18
Twice as a number plus 5 is equal to 27 what does x equal
Answer:
x=11
Step-by-step explanation:
2x+5=27
-5 -5
2x=22
x=11
Answer:
x = 11
Step-by-step explanation:
2x + 5 = 27
2x +5 - 5 = 27 - 5
2x = 22
x/2 = 22/2
x = 11