A food distribution company has employees that order food supplies for local restaurants by predicting sales. The company pulls an SRS of 500 orders and finds that 408 orders were correct. Calculate and interpret a 95% confidence interval for the proportion of all orders that were correct
Answer:
(0.782, 0.85)
Step-by-step explanation:
Here
The sample size = 500
Number of favourable cases = 408
Confidence interval = 95%
Proportion of sample = 408/500 = 0.816
Critical value for alpha = 0.05 is z (1-alpha/2) = 1.96
Confidence interval = p -zc * sqrt (p(1-p)/n), p + zc * sqrt (p(1-p)/n)
Substituting the given values we get –
0.816-1.96 * sqrt (0.816(1-0.816)/500), 0.816+1.96 * sqrt (0.816(1-0.816)/500)
(0.782, 0.85)
Hi can someone help me with this pleaseee
Second choice.
Which is 1591.1 cm^2.
Twelve times a number x, plus a second number y.
Answer:
12x+y
Step-by-step explanation:
12 times a number x
12x
Plus y
12x+y
Subtract: ─ 32 ─ 128
Answer:
-160 is the answer
Step-by-step explanation:
- × - = +
+ × + = +
so,-32-128
=-160
The area of a triangle with a height of 9 cm and a base of 6 cm is
Answer:
27 cm²
Step-by-step explanation:
Formula of Area Triangle = 1/2(base x height)
Base = 6 cm
Height = 9 cm
1/2 ( 6 x 9 ) = 1/2 ( 54 ) = 27
Units = cm * cm = cm²
27 cm²
Why the formula (1/2 ( base x height )) works:
Take a triangle
Duplicate the triangle
And rotate the triangle and put it next to the other one
What shape does it form?
Either a parallelogram or a rectangle
The formula for a parallelogram or rectangle is (base x height)
Since you are initially doubling the area of the triangle to get the rectangle, solve for the rectangle and divide by 2.
So, do base x height
And divide by 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Yesterday, the temperature et noon was 11.4" misright, the tempe tine had decreed by 15.7 degrees what was the
Temperature at midnight
Answer:
-4.3 degrees
Step-by-step explanation:
if I understand the problem correctly, then the temperature at midnight fell 15.7 degrees from 11.4 degrees at noon.
11.4 - 15.7 = -4.3 degrees
so, the temperature at midnight was -4.3 degrees
Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order
Answer:
31.82% probability that you will receive 2 apples.
Step-by-step explanation:
The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
5 + 7 = 12 total fruits, which means that [tex]N = 12[/tex]
7 apples, which means that [tex]k = 7[/tex]
You receive 2 fruits, which means that [tex]n = 2[/tex]
What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?
This is, as a proportion, P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182[/tex]
0.3182*100% = 31.82%
31.82% probability that you will receive 2 apples.
NEED HELP ASAP. WILL GIVE BRAINLY
2. Solve system A by substitution. Solve system B by elimination.
A. {
x = 3y − 4
2x − y = 2
B. {
3x + 2y = 7
−x + y = −4
Answer:
A. x = 2 and y =2
B. x = 3 and y = -1
Step-by-step explanation:
A. { x = 3y − 4
2x − y = 2
1) Substitute the value of x
2(3y − 4) − y = 2
2) Solve the equation for y
y = 2
3) Substitute the value of y
x= 3(2) -4
4) Solve the equation for x
x = 2
Final Solution: x = 2 and y =2
B. { 3x + 2y = 7
−x + y = −4
1) Multiply both sides of the equation by 3
-3x + 3y = -12
2) Eliminate one variable by adding the equations
3x + 2y = 7
+ (−3x + 3y = −12)
5y = -5
3) Divide both sides of the equation by 5
y = -1
4) Substitute the given value of y into the equation -x + y = -4
-x + (-1) = -4
5) Solve the equation for x
x = 3
Final Solution: x = 3 and y = -1
What is the unequal represented by the graph
State the next three terms of Fibonacci sequence 1,1,2,3,5,8,13
Answer:21 then 34
Step-by-step explanation: its just correct lol
the graph shows the relationship between the amount of milk and water used in a recipe
Answer:
Multiply the amount of milk by 4
Step-by-step explanation:
Given
See attachment for graph
Required
The rule of the graph
Pick any two points on the graph
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (1,4)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 - 0}{1 - 0}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m =4[/tex]
The graph equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 4(x - 0) + 0[/tex]
[tex]y = 4(x)[/tex]
[tex]y = 4x[/tex]
The above shows that the x values are multiplied by 4 to get y
Can anyone help pls? Thanks much appreciated
Answer:
x ≈ 5.7
Step-by-step explanation:
Recall, SOH CAH TOA.
We are given:
Reference angle = 35°
Opposite side length to reference angle = 4
Adjacent side = x
To find x, apply the trigonometric equation, TOA, which is:
Tan 35° = Opp/Adj
Substitute
Tan 35° = 4/x
x*Tan 35° = 4
x = 4/Tan 35°
x ≈ 5.7
Simplify.
x^3 divided by x^5
Answer:
Step-by-step explanation:
x^3/x^5
=x^3-5
=x^-2
=1/x^2
HELP PLEASEEEEE IM BEGGING !!
Answer:
80°
Step-by-step explanation:
lol hope I'm correct
What is the answer to this
Answer:
A
Step-by-step explanation:
Answer:
[tex]x < - 2[/tex]
Step-by-step explanation:
Hope it is helpful...
if x varies directly as y write a formula connecting x and y y.use k as a constant of variation.
Answer:
x=KY
as x is directly proportional to y
Please help!
What is the area in square units?
The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are three appetizers, five soups, three main courses, and three desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible
Answer:
number of ways to chose a three course meal is 90
Step-by-step explanation:
Given the data in the question;
Number of appetizer = 3
Number of soups = 5
Number of main courses = 3
Number of desserts = 3
Now,
Number of ways that appetizer can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3
Number of ways that soups can be chosen = ⁵C₁ = 5!/(1!(5-1)!) = 5
Number of ways that main courses can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3
Number of ways that desserts can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3
So,
First we chose an appetizer, soup and main course.
Number of ways will be;
⇒ 3 × 5 × 3 = 45
Next, we chose a dessert, a soup & a main course.
Number of ways will be;
⇒ 3 × 5 × 3 = 45
Total number of ways to chose a three course meal
⇒ 45 + 45 = 90 ways
Therefore, number of ways to chose a three course meal is 90
Answer:
90?
Step-by-step explanation:
Solve x+1>3. Graph the solution.
Answer:
x>2
Step-by-step explanation:
x+1>3.
Subtract 1 from each side
x+1-1 > 3-1
x>2
There is an open circle at 2 and the lines goes to the right
Seven times the sum of twice a number and 16
Answer:
7(2x+16)
Step-by-step explanation:
first, we look at the part where it says the sum of twice a number and 16
let's represent the number by using x. since it says twice a number, that would mean 2x.
when it says the sum of twice a number and 16, this means that we have to add them, so we would get 2x+16.
finally, in the beginning it says seven times the sum of twice a number and x, which would mean that we would have to multiple 2x+16 by 7.
answer:
7(2x+16)
Give the slope and the y-intercept of the line
y= −x+8
. Make sure the y-intercept is written as an ordered pair.
Slope:
Y-intercept:
In how many ways the letter of the word 'Nawalpur' be arranged in which no tow A's come together.
Answer:
below
Step-by-step explanation:
(8! - 7!)
= 35280
that is the procedure above
Math Escape Level 3 plz hurry it is due to today bestie
Answer:
1
Step-by-step explanation:
x-9=-8
x=-8+9
x=1
Help please! No rush, I'll give brainliest for best answer
9514 1404 393
Answer:
A
Step-by-step explanation:
Your friendly local graphing calculator or spreadsheet can tell you the quadratic regression equation. It best matches choice A.
Evaluate g(n- 7) if g(x) = x^2-6/7x
Step-by-step explanation:
g(n-7) = (n-7) ^2-6/7 (n-7) = n^2 -14n+49-6/7 n +6= n^2-104/7 n +55
Answer: A.
The correct answer is actually A.
Step-by-step explanation:
n ^2 - 14n + 43 / 7n - 49
Meg invested $16,000 in a savings account. If the annual interest rate is 6%, how much will be in the account in 5 years for quarterly compounding? Round your answer to two decimal places.
CORRECT ANSWER IS: 21549.68
Answer:
In 5 years the account will be $ 21,549.68.
Step-by-step explanation:
Given that Meg invested $ 16,000 in a savings account, if the annual interest rate is 6%, to determine how much will be in the account in 5 years for quarterly compounding, the following calculation must be performed:
16,000 x (1 + 0.06 / 4) ^ 5x4 = X
16,000 x 1,015 ^ 20 = X
16,000 x 1.34685500 = X
21,549.68 = X
Therefore, in 5 years the account will be $ 21,549.68.
Answer:
Step-by-step explanation:
A+?
P=$16,000
r=0.06
t=5
A=P(1+r/n)∧ nt
A=16,000(1+0.06/12)∧12⋅5
A=$21,581.60
Determine the smallest integer value of x in the solution of the following inequality.
5x -5 > -18
Answer:
5x>-18+5
5x>-13
5x/5>-13/5
x>-2.6
which expression is equvialent to (2x^2+4x-7)(x-3)
Helen rolls a dice and flips a coin.
Calculate the probability that she gets a 4 and a tail.
1/6 odds of rolling a 6
1/2 odds of flipping tails
1/6 x 1/2 = 1/12
The probability that she gets a 4 and a tail is 1/12.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
Helen rolls a die and flips a coin.
The probability of getting 4 on the die,
= 1/6
The probability of getting tail on the coin,
= 1/2
The probability that she gets a 4 and a tail,
= 1/2 x 1/6
= 1/12
Therefore, the probability is 1/12.
To learn more about the probability;
brainly.com/question/11234923
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Grace swam 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. How many kilometers did she swim in all? Use paper to show your work. Select the correct answer.
Answer: 0.85 km
Step-by-step explanation:
Since, Grace ran 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. And we need to know what her total of kilometer are in all. All is a clue word that tells us to add.
Add.
0.6+0.25= 0.85 km