Answer:
8
Step-by-step explanation:
2^1 = 2×1 = 2
2^2= 2×2= 4
2^3= 2×2×2= 8
A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting taxes; 59% of those asked said "yes." Suppose that in fact 62% of all adults favor balancing the budget over cutting taxes. If this poll was not biased, what is the probability you would get p^=0.59 or less?
Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution 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]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]In this problem:
1,190 adults were asked, hence [tex]n = 1190[/tex]In fact 62% of all adults favor balancing the budget over cutting taxes, hence [tex]p = 0.62[/tex].The mean and the standard error are given by:
[tex]\mu = p = 0.62[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141[/tex]
The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.59 - 0.62}{0.0141}[/tex]
[tex]Z = -2.13[/tex]
[tex]Z = -2.13[/tex] has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213
Two families are going sailing. Family A leaves the marina and sails 2.3 miles due north, then sails 3 miles due west. Family B leaves the marina and sails 2.3 miles due south, then sails 3 miles in a direction 1° north of due east.
Which family is farther from the marina? Explain your reasoning.
Answer:
A
Step-by-step explanation:
We can solve this by drawing it out
Family B has part of their north-south direction negated by going 1 degree north of east, because they are going south and then going north. Family A does not do this, and as a result, with all else equal, they go further away.
help pls!! I will mark brainliest!! :(
Answer:
Three choice
Step-by-step explanation:
I think.
A beach ball has a diameter of 18 inches. What is the approximate volume, rounded to the nearest whole number, of the inflated beach ball?
Answer:
3,052 cubic inches
Step-by-step explanation:
·· A beach ball has a spherical shape
·· Formula to calculate the volume of a sphere is given as:
In the question, we are given
Diameter = 18 inches
We have to find the radius
Radius = Diameter/2
Radius = 18 inches/2
Radius = 9 inches
The volume of the beach ball =
= 3,052.08 cubic inches
Approximately to the nearest whole number = 3,052 cubic inches
Simplify.
(2⁴)³
its telling me to write at least 20 characters so uhm-- ignore the rest of this weeeeeeeeeeeeeeeeee
Answer:
4096
Step-by-step explanation:
Explanation:
The rule we use is (a^b)^c = a^(b*c). It says to multiply the exponents when we raise one exponential expression to another exponent. The base stays the same.
So, (2^4)^3 = 2^(4*3) = 2^12
You could take the slightly longer path to say the following
(2^4)^3 = (2^4)*(2^4)*(2^4) = 2^(4+4+4) = 2^12
How do I solve for x?
Here, the opposite angles of the triangle are equal. If 2 opp. angles in a triangle are equal, then the opposite sides will be equal as well.
So,
16 = x + 36
16 - 36 = x
-20 = x
______
Hope it helps ⚜
amplitude of y=-2sin(3x)+6
Answer:
amplitude = 2
Step-by-step explanation:
Given sine in standard form
y = asinbx + c
amplitude = | a | , period = [tex]\frac{2\pi }{b}[/tex] , c is the vertical shift
Given
y = - 2sin(3x) + 6
amplitude = | - 2 | = 2
Can someone help me with this problem please!
Answer:
can you send in a better photo i cannot see it clearly
Step-by-step explanation:
100 points !!!!!1 Drag the answers to match the inequality and the situation it represents. c<10 c>10 c<20 c>20
Hi!
c < 10
This means that c is less than 10. Any number smaller than 10 works, such as 7, -4, 5.6.
c > 10
This means that c is greater than 10. Any number greater than 10 works, such as 12, 58, 10.9.
c < 20
This means that c is less than 20. Any number smaller than 20 works, such as 6, -2, 19.7.
c > 20
This means that c is greater than 20. Any number greater than 20 works, such as 21, 74, 20.5.
Hope this helps! Have a great day :D
Answer:
here are the answers
Step-by-step explanation:
Determine the intercepts of the line.
Answer:
y-intercept: (0, 5/2)
x-intercept: (5/3, 0)
Step-by-step explanation:
The y-intercept is found by setting x=0 and dividing by the coefficient of y.
0 +2y = 5
y = 5/2
The x-intercept is found by setting y=0 and dividing by the coefficient of x.
3x +0 = 5
x = 5/3
The intercepts are ...
y-intercept: (0, 5/2)
x-intercept: (5/3, 0)
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
LOOK AT THE IMAGE!!!!!
Answer:
a. 3/10
b. 1/10
c. 4/10 or 2/5
Step-by-step explanation:
There is 4 brown, 3 green, 2 red, and 1 purple if you add those all up you get 10. Since there is a total of 10 marbles in the bag and 3 of those are green 3/10 of the marbles are green. Same goes with purple, 1 of the 10 marbles in the bag is purple.
To solve for green and purple you must add them. Since there is 3 green and 1 purple that gives you 4. 4 out of 10 marbles are green or purple. 4/10 can also be simplified to 2/5
Find the x in the figure. Assume a and b are parallel
Answer:
x = 15
Step-by-step explanation:
(4x - 30) and (2x) are alternate angles and are congruent , then
4x - 30 = 2x ( subtract 2x from both sides )
2x - 30 = 0 ( add 30 to both sides )
2x = 30 ( divide both sides by 2 )
x = 15
2) 4x - 4y = -12
x + 4y = -18
Solve by elimination
[tex]\left \{ {{4x - 4y = -12} \atop {x + 4y = -18}} \right. <=>\left \{ {{5x=-30} \atop {x + 4y = -18} \right. <=> \left \{ {x=-6} \atop {y=-3} \right.[/tex]
ok done. Thank to me :>
Select the correct answer.
Which expression in factored form is equivalent to this expression?
2 1/5 liters of water and 1 1/3 liters of juice are used for a team breakfast,
How many liters of drink were used for the breakfast?
Enter your answer as a mixed number in simplest form by filling in the boxos,
Answer:
3 8/15
Step-by-step explanation:
2 1/5 + 1 1/3 = 3 8/15
A triangle can have the side lengths of: 1, 10, and 10.
O True
O False
Answer:
True
Step-by-step explanation:
If you do this on paper, you can make a triangle but it will be close to a line, since the two side lengths are the same and that the last side length is 1.
Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. If Elena
wants to order for the year, how many quarts of shampoo does she need to order?
The number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation form using the variable in place of unknown numbers.
Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Let suppose that she needs to order n quarts of shampoo in a year.
As it is known that there are total 12 months in a year and Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Thus, the number of quarts of shampoo does she need to order is,
[tex]n=5.4\times12\\n=64.8\\[/tex]
Thus, the number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.
Learn more about the unknown variable here;
https://brainly.com/question/1235185
#SPJ2
Question
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by
910+(−710)+810+(−610)+⋯+310+(−110)+210.
How much water is in the tank after 15 days? Write your answer as a decimal.
Answer:
ililil
Step-by-step explanation:
yo can i get some help with this
Answer:
14
Step-by-step explanation:
Answer:
16 + 2 = 14 + 4
? = 14
Step-by-step explanation:
Mr. Williams drew the following image on the board and asked his students to write a sequence of steps explaining how to construct a line which passes through point C and is perpendicular to line AB. The work of two students, Elias and Greyson, is shown.
Answer:
both Elias and Greyson
Step-by-step explanation:
A ream of paper contains 480 sheets. Each sheet is 0.014 cm thick. Find the thickness of the ream of paper.
Answer:
19.2 cm
Step-by-step explanation:
480×0.014
=19.2
what are some expressions that are equivalent to 3(7x–6).
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{3(7x - 6)}\\\large\rightarrow\textsf{3(7x) + 3(-6)}\\\large\rightarrow\textsf{21x - 18}\\\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{21x - 18}}}\huge\checkmark[/tex]
[tex]\large\textbf{Note: All you had to do is DISTRIBUTE 3 the}\\\large\textbf{WITHIN PARENTHESES. }\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
25-foot wire connects the top of a utility pole to a point on the ground located 7 feet away from the base of the pole.
If h represents the height of the pole, what is its measure?
A. 175 ft.
B. 24 ft.
C. 674 ft.
D. 1250 ft.\
dont be a b**ch and put a link
Answer:
B. 24 ft.
Step-by-step explanation:
25 would be the hypotenuse of a triangle and 7 is a leg, so
7^2 + x^2 = 25^2
49 + x^2 = 625
x^2 = 576
x = 24 ft
Answer:
The answer is B I took the test but used the person above me and it was right.
Step-by-step explanation:
after buying one bottle caps for 27.70 richard has 19.15 left how much money did richard have to begin with???
Answer:
46.85
Step-by-step explanation:
He had $46.85 to begin with, because 27.70 + 19.15 is equal to 46.85
Is 1/-4 the same as -1/-4
What is the value of 8.25p + 3.99c, when p=11 and c= 7? *
Answer:
Your answer is p=3.99;$51.87
5+7x to the power of 2+4x
Answer:
7x^2 + 4x + 5
Step-by-step explanation:
hope that work
I need help on this question
Answers : A and D
Step - by - step explanation :
tip : when finding constant of proportionality it's always Y divided by X
A = what is 22.5 divided by 3 ? 7.5 ( now multiply 7.5 by the next X [ 4 ] )
what is 7.5 x 4 ? 30 ( and since on the graph it also says 30 then you can assume this one has a proportional relationship )
B = what is 12 divided by 3 ? 4 ( now multiply 4 by the next X [ 5 ] )
what is 4 x 5 ? 20 ( and because the graph says 25 then you know it's NOT a proportional relationship )
C = what is 8.5 divided by 2 ? 4.25 ( now multiply 4.25 by the next X [ 5 ] )
what is 4.25 x 5 ? 21.25 ( and because the graph says 22.5 then you know it's NOT a proportional relationship )
D = what is 10 divided by 2 ? 5 ( now multiply 5 by the next X [ 3 ] )
what is 5 x 3 ? 15 ( and since on the graph it also says 15 then you can assume this one has a proportional relationship )
( sorry it took me so long to write this )
Find the value of x.
Answer:
x = 19
Step-by-step explanation:
(5x+4)+(x-2)+(3x+7) = 180
5x+4+x-2+3x+7 = 180
9x+9 = 180
9x = 171
x = 171/9
x = 19
One-third of a number b times -2 is less than or equal to -11/6
Answer:
Step-by-step explanation:
Ignore the 0,0 at the top of the paper but that should be the equation.