Answer:
- 9
Step-by-step explanation:
[tex]F(x)=-x^2 \\ \\ plug \: x = 3 \\ \\ F(3)=-(3)^2 \\ \\F(3) = - 9[/tex]
The radius of a circle is 16 cm. Find its area in terms of \piπ
Answer256pi
Step-by-step explanation:
Area=pi*r^2
=pi*16^2
256pi
A random sample of 80 college students showed that 44 had driven a car during the day before the survey was conducted. Suppose that we are interested in forming a 80 percent confidence interval for the proportion of all college students who drove a car the day before the survey was conducted.
Where appropriate, express your answer as a proportion (not a percentage). Round answers to three decimal places.
Answer:
The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).
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].
A random sample of 80 college students showed that 44 had driven a car during the day before the survey was conducted.
This means that [tex]n = 80, \pi = \frac{44}{80} = 0.55[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 - 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.479[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 + 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.621[/tex]
The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).
Please please help please
Answer:
Your answer will be D. 15,840:) you're welcome, have a great day:)!
Express the confidence interval 0.777
ộHE = +0Which of the following is a radical equation?
O x+ √5 - 12.
O x2 = 16
O 3+x7 - 13
0 7 √x = 14
Answer:
7√x = 14
Step-by-step explanation:
A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.
The equation which is a radical equation from the given answer choices is; 7 √x = 14.
What is a radical equation?According to the task content;
It follows that we are required to determine the equation which is a radical equation.On this note, the required equation is 7 √x = 14 because the variable is under a radical.
Read more on radical equation;
https://brainly.com/question/2292715
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If Ashton drives 228 miles in 6 hours, what is his unit rate?
Answer:
The unit rate would be 38 miles per hour
Step-by-step explanation:
If you divide 228 by 6 you would get 38 and to further prove this do 38 x 6 and your answer would be 228
How many cards are in a standard deck of cards? What are their colors?
Answer:
A standard deck of cards consists of 52 cards. The colors are usually black for the spades and clubs and red for the hearts and diamonds.
Step-by-step explanation:
Answer:
There are 52 cards which are either red or black
Step-by-step explanation:
The quantity of a product demanded by consumers is a function of its price. The quantity of one product demanded may also depend on the price of other products. For example, if the only chocolate shop in town (a monopoly) sells milk and dark chocolates, the price it sets for each affects the demand of the other. The quantities demanded, q1​ and q2​, of two products depend on their prices, p1 and p2, as follows:
q1​=150−2p1​−p2
q2​=200−p1​−3p2​.​
If one manufacturer sells both products, how should the prices be set to generate the maximum possible revenue? What is that maximum possible revenue?
Answer:
Both prices should be set to #25.
The maximum revenue is #4375
Step-by-step explanation:
Given
[tex]q_1 = 150-2p_1-p_2[/tex]
[tex]q_2 = 200-p_1-3p_2[/tex]
Start by calculating the total revenue (R):
[tex]R = p_1q_1 + p_2q_2[/tex]
[tex]R = p_1(150-2p_1-p_2) + p_2(200-p_1-3p_2)[/tex]
[tex]R = 150p_1-2p_1^2-p_1p_2 + 200p_2-p_1p_2-3p_2^2[/tex]
Collect and solve like terms
[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]
Differentiate with respect to pi and to p2, respectively
[tex]\frac{dR}{dp_1} = 150 -4p_1 - 2p_2[/tex]
[tex]\frac{dR}{dp_2} = 200 -2p_1 - 6p_2[/tex]
Equate both to 0, to get the critical point
[tex]150 -4p_1 - 2p_2 = 0[/tex]
[tex]200 -2p_1 - 6p_2 = 0[/tex]
Solve for p1 in [tex]150 -4p_1 - 2p_2 = 0[/tex]
[tex]4p_1 = 150 - 2p_2[/tex]
[tex]p_1 = 37.5 - 0.5p_2[/tex]
Substitute [tex]p_1 = 37.5 - 0.5p_2[/tex] in [tex]200 -2p_1 - 6p_2 = 0[/tex]
[tex]200 - 2(37.5 - 0.5p_2) - 6p_2 = 0[/tex]
[tex]200 - 75 - p_2 - 6p_2 = 0[/tex]
[tex]125 - 7p_2 = 0[/tex]
[tex]-7p_2 =-125[/tex]
[tex]p_2 = 25[/tex]
Substitute [tex]p_2 = 25[/tex] in [tex]p_1 = 37.5 - 0.5p_2[/tex]
[tex]p_1 = 37.5 - 0.5 * 25[/tex]
[tex]p_1 = 37.5 - 12.5[/tex]
[tex]p_1 = 25[/tex]
So, we have:
[tex]p_1 = p_2 = 25[/tex]
This implies that the prices should be set to #25.
The maximum possible revenue is:
[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]
[tex]R = 150 * 25 + 200 * 25 -2 * 25^2 - 2 * 25 * 25 - 3 * 25^2[/tex]
[tex]R = 4375[/tex]
The maximum revenue is #4375
The maximum possible revenue is 4375.
How to calculate the revenue?From the information given, the following can be deduced:
Q₁ = 150 - 2P₁ - P₂
Q₁ = 150 - 2P₁ - P₂Q₂ = 200 - P₁ - 3P₂
The total revenue will be:
R = P₁Q₁+ P₂Q₂
R = P₁(150 - 2P₁ - P₂) + P₂(200 - P₁ - 3P₂)
R = 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²
To maximize, differentiate it in both the direction of P₁ and P₂.
d/dP₁ = 150 - 4P₁ - 2P₂
d/dP₂ = 200 - 2P₁ - 6P₂.
Solving for P₁ goes thus:
4P₁ = 150 - 2P₂
Divide through by 4
P₁ = 37.5 - 0.5P₂
Since 200 - 2P₁ - 6P₂ = 0
200 - 2(37.5 - 0.5P₂) - 6P₂ = 0.
P₂ = 25
Therefore, the revenue will be:
= 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²
= (150 × 25) + (200 × 25) - (2 × 25 × 25) - (3 × 25²)
= 4375
In conclusion, the revenue is 4375.
Learn more about revenue on:
https://brainly.com/question/25623677
The district manager of four different restaurants wanted to investigate whether the four restaurants differed with respect to customers ordering dessert or not based on family classification (with children or without children). Independent random samples of 100 customers who ordered dessert were selected from each restaurant, and the customers were identified as either being with children or without children. After verifying the conditions for the appropriate hypothesis test, the manager calculated a chi-square test statistic of 6.45 with an associated p-value of 0.092. Based on the p-value and a = 0.05, what conclusion should the manager make regarding the proportion of customers who order dessert at each restaurant and the customers' family classification?
A. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.
B. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
C. There is not convincing statistical evidence to prove that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
D. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.
E. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
Answer:
E
Step-by-step explanation:
write down all prime numbers between 20 and 40
Answer:
23,29,31,37
Step-by-step explanation:
Jaelyn uses 3 3/4 cups of flour to make 5 batches of pancakes. How many cups of flour she need to make 1 batch?
NO ANSWERS IN UNKNOWN SITES PLEASE OR I'LL REPORT IT!!!
Answer:
3/4
Step-by-step explanation:
Divide 3 3/4 by 5. 3 3/4 as an improper fraction is 15/4. 15/4 * 1/5 (divided by 5) is 3/4. :D dont report me
I need help ! We are doing log lines
Answer:
exponent
Step-by-step explanation:
To get log2(4)=2
so 2 to the power of 2 is 4
4 is the number between brackets in log
another example
log2(8)=3
2 to the power of 3 is 8
Determine the missing side length
Hope this helps the answer is 97!
(3f–3)^2 pls help
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Which equation is right
Answer:
b.5²+12²=13² is your answer
Need help please and thank you
Answer:
B is your answer
Step-by-step explanation:
there is none but GOOD LUCK
Find the area of the following figure: 11in 10in
Answer:
(no simplification) = 55 + (25[tex]\pi[/tex]/2) in^2
(with simplification) = (110 + 25[tex]\pi[/tex])/2 in^2
(with pi rounded to 3.14) = 94.25 in^2
Step-by-step explanation:
Let's start with the easier shape, the triangle. The formula for area of a triangle is 1/2(base)(height). Since at the far right we have 10 in, we can apply that to the triangle to get the base = 10 inches. The height is given as 11 inches so we can then calculate the area which is 55 in^2.
Then, the circle. We know that area of a whole circle = [tex]\pi r^{2}[/tex]. Since we know that a semicircle is 1/2 of a full circle, we can find the area of the entire circle then divide it by 2.
It gives the diameter as 10, divide that by 2 to get the radius. r=5. Plug 5 into the equation of [tex]\pi r^{2}[/tex] and you get 25[tex]\pi[/tex]. Divide that by 2 to get 25[tex]\pi[/tex]/2.
Add the triangle and the semicircle areas.
(no simplification) = 55 + (25[tex]\pi[/tex]/2) in^2
(with simplification) = (110 + 25[tex]\pi[/tex])/2 in^2
(with pi rounded to 3.14) = 94.25 in^2
For brainliest and 100 points and no files or you will be reported and just to get points.
Rearrange the equation so u is the independent variable.
-12u+13=8w-3
w=
Answer:
w=-[tex]\frac{3u}{2}[/tex]+2
Step-by-step explanation:
Answer:
w = -1.5u + 2
or
w = -3/2u + 2
Step-by-step explanation:
Your goal is to isolate w
-12u + 13 = 8w - 3
+3 +3
-12u + 16 = 8w
/8 /8 /8
-1.5u + 2 = w
w = -1.5u + 2
or
w = -3/2u + 2
HELPPP PLSSS
ANSWER ALL PLS HELP AND EXPLAIN HOW YOU GOT YOUR ANSWER
Answer:
1. 64
2. 36
3. 32
4. 20
5. 33
6. 30
Step-by-step explanation:
Sorry I can't see the symbols on questions 7-9
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
Step-by-step explanation:
4 6/7
Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 5 x minus 9 when x is less than 0 and the absolute value of the quantity 2 minus x when x is greater than or equal to 0 -9 -7 2 The limit does not exist.
Answer:
The limit does not exist
Step-by-step explanation:
The first step would be to try to evaluate the functions at x = 0
5x - 9 => 5(0) - 9 = -9
| 2 - x | => | 2 - 0 | = 2
So they can be evaluated at x = 0, and it gives two different answers so the limit does not exist
Answer:
The limit does not exist
Step-by-step explanation:
By evaluating both functions we see that we get -9 and 2, because they are not equal to each other the limit does not exist.
I need help on 8
...............................
Answer:
55
Step-by-step explanation:
60 minutes is an hour 60 - 5 is 55
Answer:
55
Step-by-step explanation:
60 minutes is an hour 60 - 5 is 55
if the measure of arc LK is 56 degrees and the measure of arc LM is 187 degrees, what is m JKM angle KL = 56 degrees
Answer:
JKM is 123 degrees and the measure of arc KL is 56
Will give brainliest
Find the area of the following
triangle:
5 cm
10 cm
A= [?] cm2
Enter the exact answer as a decimal.
Answer:
25
Step-by-step explanation:
a=1/2bh
a=1/2(5)(10)
a=1/2(50)
a=25
Y=-3x+5. Fill in the table using this function rule
X Y
1 8
2 11
3 14
4 17
5 20
6 23
7 26
8 29
9 32
10 35
11 38
12 41
13 44
14 47
15 50
16 53
17 56
18 59
19 62
20 65
Help w homework plsssss
Answer:
67
Step-by-step explanation:
complementary mean it equals 90 degrees
90-23 = 67
m<2=67
i need help with this!
Answer:
the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331
Answer:
z=529
Step-by-step explanation:
Let's solve your equation step-by-step.
√z=23
Solve Square Root.
√z=23
z=232(Square both sides)
z=529
Check answers. (Plug them in to make sure they work.)
z=529(Works in original equation)
how do you put 72.3 and 39.1 in Commutative Property
Answer:
70 + 2 + 0.3 + (-30) + (-9) + (-0.1) = 70 + (-30) + 2 + (-9) + 0.3 + (-0.1)
Step-by-step explanation:
i dont have an explanation but that is the answer i can confirm because i did it and got it wrong but then it showed the right answer hope it helps you
Mark has a square photo with an area of 9cm squared.
He enlarged the photo to have an area of 36cm squared
To do this the length of each side was multiplied by a factor of?
Answer:
length of each side should be multiplied by 2
Find the value of x. Round to the nearest degree.
Its not yet known. We need other numbers and letters!