Answer:
a. 0.48
b. The 96% confidence interval for p is (0.457, 0.503).
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].
In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home.
This means that [tex]n = 2000, \pi = \frac{960}{2000} = 0.48[/tex].
This is the answer for question a.
96% confidence level
So [tex]\alpha = 0.04[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.04}{2} = 0.98[/tex], so [tex]Z = 2.056[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.457[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.503[/tex]
The 96% confidence interval for p is (0.457, 0.503).
For a school fundraiser Paul bought a big box of ducks and wrote prize amounts, in dollars on the bottom of each rubber duck. The prize amounts were $5, $10, $20, $50, and$100. The number of ducks with each prize amount varied so that the total value for all the ducks with each prize amount was always $500. Paul then put all of the rubber ducks in his schools swimming pool. At the fundraiser participants used a long net to catch a duck from the pool. They won the amount written on the bottom of the duck, and then they threw the duck back into the pool before the next persons turn. Since the ducks were returned to the pool after they were caught the chances of winning any particular amount remained the same. Andrew paid $15 to play the game once. If we assume he randomly selected a duck, what is the probability that Andrew won more money than he paid to play the game?
Answer:
Redding East Rotary donates 120 holiday baskets every year. ... Frank was $50 proud. ... Please turn in your tickets and money to Bill Evanhoe directly this year. ... The door prize of $20 to San Francisco Deli was won by Carla Barrett. ... The Duck Derby has raised $3,515,000 and if you put all those ducks end to end they ...
Step-by-step explanation:
Joyce is making sushi rolls. She needs cup of
rice for each sushi roll. How many sushi rolls
can she make if she has 3 caps of rice?
3
You can use objects or draw
e picture to find the solution
Answer:
She can make 3 sushi rolls.
Step-by-step explanation:
it's not that hard, but ok
So, if Joyce needs one cup for every sushi rolls and she has 3 cups. You just add 3 + 0, getting you 3.
PLEASE HELP THIS ASSIGNMENT IS VERY CONFUSING
Answer:
the value of x is 10
Answer:
10
Step-by-step explanation:
Since this is a 90 degree angle (indicated by the red box), we can put the two values added equal to 90
70+2x=90
Solve for x
2x=20
x=10
The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm
Answer:
[tex]Height = 2.5[/tex]
Step-by-step explanation:
Given
[tex]Volume = 35[/tex]
[tex]Length =7[/tex]
[tex]Base=4 cm[/tex]
Required
Determine the height
The volume is calculated as:
[tex]Volume = Height * Base\ Area[/tex]
Since, it has a triangular cross-section, the expression becomes:
[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]
So, we have:
[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]
[tex]35 = Height * 14[/tex]
[tex]Height = 35/14[/tex]
[tex]Height = 2.5[/tex]
19. The formula P = a + b + cgives the perimeter P of a triangle with side
lengths a, b, and c. A triangular field has sides that measure 33 yards,
56 yards, and 65 yards. What is the perimeter of the field? (6.EE.20)
Answer:
33 + 56 + 65 = 154
Camila baked 150 cookies 60% of the cookies are chocolate chip cookies how many cookies are chocolate chip cookies
Answer:
90
Step-by-step explanation:
150 x 0.6 = 90
or
150/10 = 15
15 x 6 = 90
Answer:90 is correct
Step-by-step explanation:
!!! HELP ASAP !!! 40 x 20 - 6 + 4 =
Answer:
798
Step-by-step explanation:
first you do 40x20=800 then 800-6=794 then 794+4=798
Is x + 1/2 = x - 1/2 true or false
Answer:
I believe it is false
WILL MARK BRAINLYIST
Answer:
12
Step-by-step explanation:
You solve for x in 2 methods 7x+10=94 Or 4x-6=42
7x=84
x=12
Choose 3 values that would make this inequality true: 8 + y ≥ 11
ps help lol
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answer:
Step-by-step explanation:
6x+3
y=24-4x function table
Answer:
here
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplify the expression by combining like terms:
-3m-8(m+1)
Answer: -11m-8
Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8
Answer:
16m
Step-by-step explanation:
-3m -8 (m+1) any variable has 1.
-8 (-2m)
16m
1.) Eight monkeys eat 16 lb of bananas a day. How many pounds of bananas are needed to feed 10 monkeys?
Answer:
20, since it has a rate of 2 banana per monkey so for 10 monkeys there will be 20, as the rate 1/2X x= monkeys
Step-by-step explanation:
What is the measure of arc PSR? *
75 degrees
260 degrees
65
100
Answer:
it most likely would be 260 degrees
Which algebraic expression is equivalent to the expression below? 8(5x + 1) + 3(9 - x) A. 37x - 35 B. 37x + 19 C. 37x + 35 D. 43x + 35
Answer:
C. 37x + 35
Step-by-step explanation:
[tex]8(5x + 1) + 3(9 - x) \\ \\40x + 8 + 27 - 3x \\ 40x - 3x + 27 + 8 \\ 37x + 35[/tex]
The contours on a topographic map show the elevation of the visitor center at
the Grand Canyon is 7,120 ft above sea level, while the river below is 2,410 ft.
What is the topographic relief?
What is the percent of increase from 54 to 81?
Answer:
50• A change from 54 to 81 represents a positive change (increase) of 50%
HOW DO YOU DO THIS PLEASE EXPLAIN
Answer:
70 degrees
Step-by-step explanation:
it’s a bit hard to explain
-2x + 4 = 104
Please help
Answer:
x = -50
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x+4=104
Step 1: Subtract 4 from both sides.
−2x+4−4=104−4
−2x=100
Step 2: Divide both sides by -2.
−2x/-2 100/-2
=-50
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
Answer:
She has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Step-by-step explanation:
Continuous compounding:
The amount of money earned, after t years, in continuous compounding, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the value of the initial investment and r is the interest rate, as a decimal.
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously.
This means that [tex]r = 0.057[/tex]
How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
We have to find A(0) when [tex]A(t) = 7600, t = 7[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]7600 = A(0)(1+0.057)^7[/tex]
[tex]A(0) = \frac{7600}{(1.057)^7}[/tex]
[tex]A(0) = 5156[/tex]
To the nearest ten dollars, she has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Which fraction is equivalent to 9 12
Answer:
3/4
Step-by-step explanation:
So we know that 3/4 is equivalent to 9/12, because 3×12=36 and 4×9=36. A simple way to look at how to check for equivalent fractions is to do what is called “cross-multiply”, which means multiple the numerator of one fraction by the denominator of the other fraction
Bobby Hill is taking lady bird to the vet. The bill
is $72 dollars. Lady bird received 3 shots for
$12 each and had to take 2 pills for x amount
each. How much were each pill?
12 = 72 - 12
72 12x + 3x
72 = 36 + 2x
None of the above
Answer:
72= 36 + 2x
Step-by-step explanation:
1 shot= $12
3 shots= $12×3= $36
$72-$36= $36
2 pills= $36
1 pill= $36/2=$18
x= $18
72= 36 + (2×18)=
36 + 36= 72
what is 4 and half hours in minutes
Question number 1 Which measurement uses square units?
Answer:
i thought i already answered this but the answer is areaStep-by-step explanation:
Ifn is an integer and n2 squared is divisible by 4, then n is divisible by 4.
This is false, we can prove this with a simple counterexample.
2^2=4
4 is divisible by 4
but 2 is not divisible by 4
They boost the economy
Answer:
I think the question is incorrect
Step-by-step explanation:
they boost the economy why is this in mathematics
♀️♀️
Please I need help it’s an emergency
Answer:
h = 79 m
Step-by-step explanation:
The length of the string, H = 125 m
The kite forms 39° angle.
We need to find the height of the kite. Let it is h. We can find it using trigonometry i.e.
[tex]\sin\theta=\dfrac{P}{H}[/tex]
Where
P is perpendicular and H is Hypotenuse
So,
[tex]\sin\theta=\dfrac{h}{H}\\\\h=H\times \sin\theta\\\\h=125\times \sin(39)\\\\h=78.66\ m[/tex]
or
h = 79 m
So, the kite is flying at a height of 79 m.
Sally earns graduated commission on her sales each month. She earns 6% commission on the first $45,000 in sales and 8% on anything over that. If Sally had $51,000 in sales this month, how much commission did she earn?
a.
$4,080
b.
$3,180
c.
$3,060
d.
$2,820
Answer:
Sally earns graduated commission on her sales each month. She earns 6% commission on the first $45,000 in sales and 8% on anything over that. If Sally had $51,000 in sales this month, how much commission did she earn?
a. ) $4,080 b. ) $3,180 <<<CORRECT c. ) $3,060 d. ) $2,820
Step-by-step explanation:
Edge 2021
Kristin draws a different circle. The radius of Kristin's circle is 1/2 the radius of Ben's circle. Which statement is true about Kristin's
circle?
O A The area of Kristin's circle is 2 times the area of Ben's circle.
OB. The area of Kristin's circle is 4 times the area of Ben's circle.
C. The area of Kristin's circle is 1/4 the area of Ben's circle.
D. The area of Kristin's circle is 1/2 the area of Ben's circle
Help please hurry !!
Answer:
[tex]\large\boxed{\textsf{Option D.}}[/tex]
Step-by-step explanation:
[tex]\textsf{For this problem, we are asked to compare the areas between Kristin's and Ben's circle.}[/tex]
[tex]\textsf{To start, we should know that the Radius plays an important role for the area.}[/tex]
[tex]\Large\underline{\textsf{What is the Radius?}}[/tex]
[tex]\textsf{The \underline{Radius} is a \underline{line segment} that starts at the \underline{center} of the circle, and ends at}[/tex]
[tex]\textsf{a point on the \underline{circumference} of the circle. (\underline{Arc})}[/tex]
[tex]\large\underline{\textsf{Area of a Circle:}}[/tex]
[tex]\mathtt{Area = \pi (radius)^{2}}[/tex]
[tex]\textsf{The Radius \underline{determines} what the area of the circle is.}[/tex]
[tex]\textsf{Because Kristin's radius is 1/2 of Ben's radius, \underline{the area will be 1/2 of Bens}.}[/tex]
[tex]\large\boxed{\textsf{Option D.}}[/tex]