Answer:
0.9983 = 99.83% probability that a majority will favor the proposal.
Step-by-step explanation:
We use the normal approximation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed.
This means, respectively, that [tex]p = 0.7, n = 50[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 50*0.7 = 35[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.7*0.3} = 3.24[/tex]
Probability that a majority (26 or more) will favor the proposal.
Using continuity correction, this is [tex]P(X \geq 26 - 0.5) = P(X \geq 25.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 25.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25.5 - 35}{3.24}[/tex]
[tex]Z = -2.93[/tex]
[tex]Z = -2.93[/tex] has a pvalue of 0.0017
1 - 0.0017 = 0.9983
0.9983 = 99.83% probability that a majority will favor the proposal.
What fraction or whole number on the number line 1/9 closest to?
Answer:
i dont understand either
Step-by-step explanation:none
Solve for.x.
10x-7
3x-4
Answer:
Length of side having 3x-4 is half of length having 10x-72 by property of triangle.
So
2*(3x-4) = 10x - 72
6x - 8 = 10x - 72
10x - 6x = 72 - 8
4x = 64
X = 64/4
x = 16
Jackson’s puppy eats 24 ounces of feed every day an object with a weight of 1 ounce has a mass that is approximately equal to 28.3 grams
Which measurement is closest to the number of grams of foods Jackson’s puppy eats every day
Answer:
8
Step-by-step explanation:
bc hdibdjs
Please help this is due tomorrow
Answer:
4. The blue and green lines are parallel.
4b. I know this because they have the same slope.
5:
a.[tex] \frac{4}{5} [/tex]
b. [tex]y = \frac{4}{5} x + 4[/tex]
Help me pleaseeeeeeeeeeeeee
I am pretty sure the answer is H
The cost of 2 hamburgers, french fries, and a soft drink at a fast food restaurant would
be about
a) $15.
b) $50.
c) $5.
Answer:
a) $15
solving this realistically no fast food place would be above 50 or below 5 (unless is a discount thing)
Which shows how to solve the equation 3/4 X=-6 for x in one step?
Answer:
x=-8
Step-by-step explanation:
You have to divide by 3/4 each side
Since it's a fraction it will multiplying by the recripocal on each side which will be 4/3.
If you multiple 4/3 to -6 the answer should be -8. So X would equal -8.
Weekly Pay The weekly salary of an employee is
$250 plus a 6% commission on the employee's total
sales. Find the weekly pay for a week in which the
sales are $5500.
Answer: $580
Step-by-step explanation:
Equation for this problem: 250 + 0.06c = p where c = commission and p = pay
If the sales for this employe was $5500, we can fill out the equation:
250 + 0.06 × 5500 = 580
The employee is paid $580.
I am not a professional, simply using prior knowledge.
Note- It would mean the world to me if you could mark me brainliest!
What was Joy's balance before she withdrew money from the mall ATM?
Account Number 1212343434
Statement period: 6/14/2013 to 7/15/2013
Beginning Balance
Total Deposits
Total Withdrawals
Ending Balance
$1214.50
$148.00
$295.48
$1067.02
Ref #
Date
6/15
6/19
Debits (-) Credits (+)
15.44
40.00
84.39
103.66
148.00
6/27
Description
Electronic Purchase_Comer Market
ATM-Evergreen Mall
Check
Check
Deposit
Electronic Purchase
Barb's Books
558
557
Balance
1199.06
1159.06
1074.67
944.01
1092.01
1067.02
6/28
7/1
7/7
24.99
$ 1199.06
$1159.06
S1074.67
The answer is $1199.06
Imagine that Dr. Jones publishes a study that claims that drinking while pregnant is dangerous for the health of the unborn baby. He surveys 200 women and finds that of the 100 women in his study who drank when pregnant, 78 had children who experienced problems with attention. Of the 100 women in his study who did not drink when pregnant, only 29 children experienced problems with attention. Your neighbor says that Dr. Jones is wrong because she drank when pregnant and her child is perfectly healthy. Explain why Dr. Jones is NOT wrong.
Answer:
Kindly check explanation
Step-by-step explanation:
Dr. Jones conclusion was based on probability which measures the degree of likelihood of an occurrence or event. In his experiment, the result could be interpreted using point estimate to mean that ; 78/100 = 0.78 or 78% of those who drank while pregnant has problem with attention while only 29/100 = 0.29 or 29% of those who did not drink.
This conclusion means that pregnant women who drink have a higher likelihood of giving birth to a child with attention problem than pregnant women who do not drink. Hence, the fact that someone who drank gave birth to a perfectly healthy child does not discredit or annull Dr. Jones study.
4. Marlie made her last monthly interest-only payment on December 1. Her next payment is due on
January 1. What will be the amount of that interest-only payment?
en
Answer:
ella tiene que pagar 10 por mes. lo siento si no es así, esa no es la respuesta correcta.
Step-by-step explanation:
Autumn wants to calculate the area of the regular hexagon below using rectangles and triangles. What is the minimum number of shapes she could use?
Two triangles and one rectangle
Two rectangles and one triangle
Two triangles and two rectangles
no rectangles and 6 triangles
Answer:
A. Two triangles and one rectangle.
Step-by-step explanation:
A regular hexagon has all six sides to be equal in length. The sum of its interior angle can be determined by:
sum of angles = (n - 2) x 180
So that some series of different shapes can be produced from the polygon. In the given hexagon, the minimum number of shapes that can be produce is 3 which are; 2 triangles and a rectangle.
Sea un cuadrado de 2 pulgadas de lado uniendo los puntos medios se obtiene otro cuadrado inscrito en el anterior si repetimos este proceso obtenemos una progresión de infinitos cuadrado comprobar que la área de los infinitos cuadrados forman una progresión geométrica y calcula la suma de todas las áreas
Answer:
1) La serie geométrica formada es
4, 2, 1,..., ∞
2) La suma al infinito de las áreas de los cuadrados es 8 in.²
Step-by-step explanation:
1) El área del primer cuadrado, a₁ = 2² = 4 pulgadas²
El área del siguiente cuadrado, a₂ = (√ (1² + 1²)) ² = (√2) ² = 2 pulg²
El área del siguiente cuadrado, a₃ = ((√ (2) / 2) ² + (√ (2) / 2) ²) = 1 pulg²
Por lo tanto, la razón común, r = a₂ / a₁ = 2/4 = a₃ / a₂ = 1/2
Las áreas de los cuadrados progresivos forman una progresión geométrica como sigue;
4, 4×(1/2), 4 ×(1/2)²,...,4×[tex](1/2)^{\infty}[/tex]
De donde obtenemos la serie geométrica formada de la siguiente manera;
4, 2, 1,..., ∞
2) La suma de 'n' términos de una progresión geométrica hasta el infinito para -1 <r <1 se da como sigue;
[tex]S_{\infty} = \dfrac{a}{1 - r}[/tex]
Por lo tanto, la suma de las áreas de los cuadrados hasta el infinito se obtiene sustituyendo los valores de 'a' y 'r' en la ecuación anterior de la siguiente manera;
[tex]La \ suma \ al \ infinito \ del \ cuadrado \ S_{\infty} = \dfrac{4 \ in.^2}{1 - \dfrac{1}{2} } = \dfrac{4 \ in.^2}{\left(\dfrac{1}{2} \right)} = 2 \times 4 \ in.^2= 8 \ in.^2[/tex]
La suma al infinito de las áreas de los cuadrados, [tex]S_{\infty}[/tex] = 8 in.²
PLEASE HELP ME
Amelia burns 10 calories for each minute that she spends running. How many calories will she burn if she runs for 20 minutes?
SHOW YOUR WORK
Answer:
She will burn 200 calories
Step-by-step explanation:
10(number of calories)x20(minutes)=200
Answer:
amelia is running for 20 minutes. so
10 calories per minute
x
20 minutes of running
=
200 calories burned.
10 x 20 = 200
PLEASE HELP I NEED A GOOD MATH GRADE
Answer:
1.2 to 10 o->
2.8 to -10 <- with fully bubbled o
A rental car company charges $36.41 per day to rent a car and $0.11 for every mile
driven. Kaylee wants to rent a car, knowing that:
• She plans to drive 50 miles.
• She has at most $360 to spend,
Which inequality can be used to determine d, the maximum number of days Kaylee
can afford to rent for while staying within her budget?
360 > 5.5 + 36.41d
360 > 5.50 + 36.41
Submit Answer
360 < 5.5 + 36.41d
360 < 5.5d + 36.41
Answer: 360>5.5+36.41d
Step-by-step explanation:
In one online store, 12 % 12%12, percent of the orders are placed by new customers. Let N NN be the number of orders placed in a day to reach the store's first new customer. Assume each order's customer status is independent. Find the mean and standard deviation of N NN.
Answer:
mean-8.3
sd-7.8
Step-by-step explanation:
khan
Answer:
Mean: 8.3 orders
Standard deviation: 7.8 orders
Step-by-step explanation:
Ismael has a set of 5 solar panels and Ben has a set of 6 smaller solar panels. Each set of panels produce the same amount of energy. 3 of Ismael's panels are on and producing energy. 4 of Ben's are on and producing more energy. Whose solar panels are producing more energy? Explain.
9514 1404 393
Answer:
Ben's
Step-by-step explanation:
If E is the amount of energy that each full set of panels produces, then ...
3 of Ismael's 5 panels produce 3/5E
4 of Ben's 6 panels produce 4/6E
We can compare these fractions when they have a common denominator.
3/5E = 18/30E . . . . energy from Ismael's panels
4/6E = 20/30E . . . energy from Ben's panels
18/30 < 20/30 . . . . so Ben's panels are producing more energy
Convert units to solve. (CC.6.RP.3d)
3. A professional football field is 160 feet wide.
What is the width of the field in yards?
Answer:
53.3 yards
Step-by-step explanation:
you just have to divide 160 by 3 to get it in yards
Find The values of ( d ,f ,e ) angles
Answer:
angle d =35, e=55, f=55.............
Jake feeds some chickens 1/8 of a bag of chicken feed each day. If he has 8 bags of feed, how many days will the feed last?
Answer:
1/2
Step-by-step explanation:
because if he has 8 bags he wil only have half a bag left
I need this please help me
Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
q=6 and r=7 look at pic for work
Answer:
It's q = 6 and r = 7
Step-by-step explanation:
Hope this helps and have a great day (^w^)
Also Hi B
-4 • 3 + -7 ?????????
Answer:
The answer to this equation would be -19
Hope this helps!
Answer:
-19
Step-by-step explanation:
An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below:
Enrollment
Month
January
February
March
April
May
June
Actual
500
400
550
550
750
400
Predicted
410
450
650
650
600
450
Residual
90
−50
−100
−100
150
−50
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit. (1 point)
Select one:
a. No, the equation is not a good fit because the sum of the residuals is a large number.
b. No, the equation is not a good fit because the residuals are all far from zero.
c. Yes, the equation is a good fit because the residuals are not all far from zero.
d. Yes, the equation is a good fit because the sum of the residuals is a small number.
The inference from the information is A. No, the equation is not a good fit because the sum of the residuals is a large number.
What is a line of best fit?It should be noted that line of best fit simply means a line through a scatter plot of data points which shows the relationship between the points.
In this case, the inference from the information is that the equation is not a good fit because the sum of the residuals is a large number.
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Which of the symbols correctly relates the two numbers below? Check all that
apply.
55? 35
Answer:
this symbol >
Step-by-step explanation:
Suppose a special interest group in a state is promoting an amendment to the state constitution so that residents can legally consume marijuana for medical and recreational use. They declare that voters in the state are strongly in support of the legalization of marijuana. This declaration is based on data collected in a sample survey. The group used the white pages of telephone directories of the three largest metropolitan areas in the state and randomly selected residential phone numbers to call in each city. They made calls until they had 500 responses per area. The relevant population of interest is:
Answer:
All Registered voters in the state
Step-by-step explanation:
The random sample utilized involves a random subset of citizens from each of the 3 largest cities in the state. The larger group which consists of all set of observation from which the smaller sample used in the survey was chosen is called the population.
Hence, the relevant population may be said to encompass all citizens of the state who have attained voting age and are registered, hence, all citizens in the state who are registered voters.
Maria claims that ABE ~ ACD. Select two of the transformations or series of transformations that supports Maria's claim and maps ABE to ACD
Answer:
All the answers that has the dilation of 3, except the last one.
Annabelle is going to a carnival that has games and rides. Each game costs $1.75 and each ride costs $3.50. Annabelle spent $28 altogether at the carnival and the number of games she played is 7 more than the number of rides she went on. Graphically solve a system of equations in order to determine the number of games Annabelle played, x,x, and the number of rides Annabelle went on, yy.
Answer:
$15.75
Step-by-step explanation:
1.75 x 7 = 12.25
28 - 12.25 = 15.75
Add dollar sign. Final answer is $15.75
Answer:
y=-1/2x+8
y=x-7
(10,3)
10 games played and 3 rides
Step-by-step explanation:
Examine the steps used to solve the equation.
Negative 3 y + two-thirds = 2 y minus 4. 1. Two-thirds = 5 y minus 4. 2. StartFraction 14 Over 3 EndFraction = 5 y. 3. (one-fifth) StartFraction 14 Over 3 EndFraction = (one-fifth) 5 y.
Evaluate the steps used to solve the equation, and then describe each step.
Step 1:
Step 2:
Step 3:
What is the solution to the equation?
y =
Answer:
can confirm guy or girl above me
Step-by-step explanation:
The solution to the equation is y=14/15.
The given equation is -3y+2/3=2y-4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, transpose -3y to RHS and simplify.
That is, 2/3=5y-4
Transpose -4 to LHS and simplify.
That is, 14/3=5y
Multiply by 1/5 on both sides of the equation.
So, 14/3×1/5=5y×1/5
⇒y=14/15
Therefore, the solution to the equation is y=14/15.
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