Answer:
see explanation
Step-by-step explanation:
Given
x² , then when x = - 4
x² = - 4 × - 4 = + 16
[ the product of a negative and a negative results in a positive ]
Suppose 54% of the registered voters in a country are Democrats. If a sample of 770 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 52%? Round your answer to four decimal places.
Answer:
0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Suppose 54% of the registered voters in a country are Democrats. Sample of 770.
This means that:
[tex]p = 0.54, s = \sqrt{\frac{0.54*0.46}{770}} = 0.01796[/tex]
What is the probability that the sample proportion of Democrats will be greater than 52%?
This is 1 subtracted by the p-value of Z when X = 0.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.52 - 0.54}{0.01796}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a p-value of 0.1335
1 - 0.1335 = 0.8665
0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.
If a researcher decided to set their alpha level to 0.001 instead of 0.05, they would be MORE likely to reject the null hypothesis
True or false
The height of a plant in mm is 7. It doubles each week. Select all expressions that represent the
height of the plant, in mm, after 4 weeks.
Answer:
I only know that it will be 28 mm tall but you have to be more specific
Line s is the perpendicular bisector of JK. If line s intersects JK at point L
which of the following statements must be true?
Answer:
You don't have your options listed but if one of them is Point L is the midpoint of the segment, that would be your answer.
Step-by-step explanation:
Write the equation in slope intercept form given
the
point and the slope
m=-4 & (-1, 3)
Answer:
Step-by-step explanation:
if a straight line with a slop [tex]m[/tex] pass through point [tex]P(x_o, y_o)[/tex] it's equation is:
[tex]y-y_o=m(x-x_o)\\\\y-(3)=-4(x-(-1))[/tex]
[tex]y=-4x-4+3\\\\y=-4x-1[/tex]
Can someone help me with this? please
9514 1404 393
Answer:
(30, 72, 78)
Step-by-step explanation:
When testing a number of triples to see if they are Pythagorean triples, it can be convenient to let a spreadsheet do the math. The attachment shows us the triple at lower left (30, 72, 78) is a Pythagorean triple. That is, the sum of the squares of the smaller two numbers is the square of the larger, so they can form a right triangle.
__
You may recognize these numbers have the ratios 5:12:13, the ratios of an often-used triple.
HELP TIMED
Which is equivalent to ?
Answer:
C the one with the 12
so the 3 turn into 1/3 now 1/3 times 1/4 = 1/12
now turn the 1/12 into the outside of the sign
Step-by-step explanation:
Which of the following best describes the relationship between (x - 2) and the
polynomial 2x3 + x2-3?
Answer:
If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynomial is equal zero.
Substitute:
2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0
Answer: B) (x - 2) is not a factor.
12. *
12. The Earth is estimated to be 4,540,000,000
years old. What is the Earth's age in scientific
notation?
a) 4.54 x 10°
b) 4.54 x 10-14
c) 4.54 x 1011
d) 4.54 x 1010
A
С
D
Please help
Answer:
4.54 x 1010
Hope this helps!
Can someone help me please
Given:
The figure of a right angle triangle with legs a and 7, and hypotenuse c.
The measure of angle opposite to leg 7 is 30^\circ.
To find:
All the missing measures for the triangle.
Solution:
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,
[tex]30^\circ+90^\circ+\text{Missing angle}=180^\circ[/tex]
[tex]120^\circ+\text{Missing angle}=180^\circ[/tex]
[tex]\text{Missing angle}=180^\circ-120^\circ[/tex]
[tex]\text{Missing angle}=60^\circ[/tex]
In a right angle triangle ,
[tex]\sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin (30^\circ)=\dfrac{7}{c}[/tex]
[tex]\dfrac{1}{2}=\dfrac{7}{c}[/tex]
[tex]c=7\times 2[/tex]
[tex]c=14[/tex]
In a right angle triangle,
[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan (30^\circ)=\dfrac{7}{a}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{7}{a}[/tex]
[tex]a=7\times \sqrt{3}[/tex]
[tex]a=7\sqrt{3}[/tex]
Therefore, the measure of the missing angle is 60 degrees. Side "a" has a length of 14 units and side "c" has a length of [tex]7\sqrt{3}[/tex] units.
Several logs are stored in a pile with 22 logs on the bottom layer, 21 on the second layer, 20 on the
third layer, and so on. If the top layer has one log, how many logs are in the pile?
Answer:
[22 x 21] / 2=231 or "c"
Step-by-step explanation:
Which system of equations has no solution?
Answer:
Step-by-step explanation:
Step-by-step explanation:
I think it's C.not sure if it's correct
Consider polynomials P and Q.
P= 8y4 + 6y3 +8y
Q= (5y2 - 4y) (3y2 + 7)
Which operation results in an expression equivalent to 23y4 - 6y3 + 35y2 - 20y?
A. PQ
B. P +Q
C. Q - P
D. P - Q
Find cos(A+B), given sinA=35 and cosB=−12/13 and both A and B are in π2<θ<π
Answer:
[tex] \cos(A + B) = \cos A \cos B - \sin A \sin \: B \\ but : \cos \: A = \sqrt{1 - ({ \frac{3}{5} })^{2} } = \frac{4}{5} \\ : \sin B = \sqrt{1 - {( \frac{ - 12}{13} })^{2} } = \frac{5}{13} \\ \therefore \cos(A + B) = ( \frac{4}{5} )( \frac{ - 21}{13} ) - ( \frac{3}{5} )( \frac{5}{13} ) \\ = \frac{ - 84}{65} - \frac{3}{13} \\ = \frac{ - 99}{65} \\ = - 1.52[/tex]
please help me do this i need it
Answer:
(x+1)(3x+2) is the answer
Answer:
Step-by-step explanation:
3x^2+5x+2
3x^2+(3+2)x+2
3x^2+3x+2x+2
3x(x+1)+2(x+1)
(3x+2)(x+1)
Which expression is equivalent to 250 + 150 ?
Answer:
if 25c + 15d = 0, then d = -25/15c
Step-by-step explan
just yes, that
What is the value of x ?
Answer:
What is the value of x?
Whenever we have a problem to solve we assume the unknown quantity(or value to be identified) as x. This is just a convention followed in algebra by using a variable to denote the unknown quantity and then arrive at the solution.
What is the value of X?
What's the value of X?
X + X = X, what is the value of X?
What is the value of x ? How can I find it?
Do you know the value of x?
Value of X can be any numerical value or anything but depends solely on your question .But I find no question ok lets take an example .
If an equation is given ,
X+2=4
=> X=4–2
=>X=2
We X's value as 2 .
Now another ,
X + Y = 5 , 2X + 5Y = 10
Now taking first equation
X = 5-Y ………………………..(1)
Now taking second equation
X= 10–5Y/2…………………(2)
Now,
2(5-Y) = 10–5Y
=> 10–2Y = 10–5Y
=> 2Y = 5Y
Y has no value here because this equation not correctly represented .
Hence ,
We conclude the value of X varies with equation .
Thank You ,
Answer:
28.61258...
Step-by-step explanation:
Don't really know how to explain this over a computer, but it is correct.
Hope that this helps!
PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!
Dakota's wife sends him to the store to buy pickles and ice cream. Ice cream cost 5 dollars per pound and pickles costs 4 dollars per pound. Dakota has 100 dollars in his wallet.
Let x be the number of pounds of ice cream and y be the number of pounds of pickles that Dakota purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y. Express your answer with the standard form ax+by on the left side.
The budget inequality is _________________________
Answer: 5x + 4y ≤ 100
Step-by-step explanation:
x = amount of ice cream($5 each)y = amount of pickles($4 each)5x + 4y ≤ 100
It has to be ≤ 100 because the dude only has $100 and can't exceed that.
please help. Thank you
Answer:
30.8 degrees
Step-by-step explanation:
cosx = [tex]\frac{8.5}{9.9}[/tex]
x= [tex]cos^{-1}[/tex][tex]\frac{8.5}{9.9}[/tex]
= 30.8 degrees (nearest tenth of a degree)
All expressions equivalent to 4(2+x):
Answer and Step-by-step explanation:
8 + 4x -- Distributed the 4 to the 2 and x.
2(4 + 2x) -- Taking out the 2 from the 8 and 4x, instead of the 4.
These are the answers.
#teamtrees #PAW (Plant And Water)
Evaluate 11/12*12/121- -6/5*70/60
Answer:
82/55
Step-by-step explanation:
11/12 * 12/121 - -6/5 * 70/60 = 1/11 + 14/10 = 1/11 + 7/5 = 5/55 + 77/55 = 82/55
The required solution of the given expression is 82/55.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve, For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
The given expression is,
= 11/12*12/121- -6/5*70/60
Simplify the above expression,
= 11/121+ 70/50
= 1/11 + 7/5
The common denominator between the two fractions is 55, so
= 5 + 77 / 55
= 82 / 55
Thus, the required solution of the given expression is 82/55.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Question 20 of 25
The houses on a city block were thought to be valued at $172,000, $164,000,
$142,000, $159,000, $191,000, $124,000, and $146,000, respectively. But a
public assessor has determined that the value of each house is actually
$20,000 higher than previously thought. According to the public assessor,
what is the median value of the houses?
A. $166,000
B. $146,000
C. $179,000
D. $159,000
SU
Answer:
Median = $179,000
Step-by-step explanation:
Given prices of the houses :
$172,000 , $164,000 , $142,000 , $159,000 , $191,000 , $124,000 , $146,000
Arrange the data in ascending order :
$124,000 , $142,000 , $146,000 , $159,000, $164,000 , $172,000, $191,000
Prices according to the public assessor :
$144,000 , $162,000 , $166,000 , $179,000 , $184,000, $192,000, $211,000
Median is the middle value in the data : $179,000
Cost of dinner = $30 Tip = 20% Total paid _?
Answer:
36$
Step-by-step explanation:
20 percent of 30 is 6
30+6=36
help !!!!!!!!!!!!!!!!!!!!
Answer:
I think it's a square or maybe a rhombus?
Step-by-step explanation:
The value of StartRoot 52 EndRoot. is between which two integers?
5 and 6
6 and 7
7 and 8
8 and 9
===============================================
Explanation:
When you list out the perfect squares, notice that 49 and 64 are on that list.
These are values we focus on because 49 < 52 < 64
We'll apply the square root to all three sides
[tex]49 < 52 < 64\\\\\sqrt{49} < \sqrt{52} < \sqrt{64}\\\\7 < \sqrt{52} < 8\\\\[/tex]
This shows that [tex]\sqrt{52}[/tex] is between 7 and 8
A calculator helps confirm this
[tex]\sqrt{52} \approx 7.2111\\\\[/tex]
7 1/5 - 6 2/5 = ?
A 13 3/5
B 1 1/5
C 1 4/5
D 4/5
1. Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)
Answer:
85º and 95º
Step-by-step explanation:
supplementary angle total 180
(8x – 3) + (7x + 18) = 180
Combine like terms
15x + 15 = 180
15x = 165
x = 11
---------------------
8x – 3
8(11) - 3
88 - 3
85º
7x + 18
7(11) + 18
77 + 18
95º
PLZZZ HELP ✨✨✨ ILL MARK BRAINIEST TYSMMM
Answer:
3
Step-by-step explanation:
She walked 4 days and 3/4 mile per day
To find the total distance, multiply the days by the number of miles per day
4 * 3/4 = 3 miles
Answer:
c 3
Step-by-step explanation:
3/4×4/1=3 u welcomeeeeeee
the volume of a triangular prism is V=1/2abh, where a is the altitude or height of the triangle, b is the base of the triangle and h is the height of the prism. solve for the formula V=1/2abh for H
9514 1404 393
Answer:
h = 2V/(ab)
Step-by-step explanation:
Divide both sides of the equation by the coefficient of h.
V = (abh)/2
h = 2V/(ab)
Find the area of a circular pool whose radius is 2 meter.
Answer:
3.1416 square meters
Step-by-step explanation:
brainliest me pls