Answer:
The vehicle can drive 450 miles.
Step-by-step explanation:
You must find how many miles the car goes on one gallon, so since 300÷20= 15, you then know that the car can travel 15 miles per gallon. Therefore, you must do 15 x 30 to get 450 miles.
Answer:
450 miles
Step-by-step explanation:
By 20 gallons,the car travels 300 miles
by 1 gallon, car travels 300÷ 20 miles
By 30 Gallons, car travels: (300÷20 )×30
450miles
F(x)=8x sqrt(x-x^2) Find the exact maximum
First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.
Check the value of f(x) at these endpoints:
f (0) = 0
f (1) = 0
Take the derivative of f(x) :
[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]
[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]
For x ≠ 0, we can eliminate the √x term in the denominator:
[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]
f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :
√x (3 - 4x) = 0
√x = 0 or 3 - 4x = 0
The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.
А Campus athletics is interested in the proportion of registered students living on campus who play basketball recreationally during the semester. They take a random sample of 198 registered students listed as living in campus housing and ask each whether or not they do so. A 95% confidence interval is correctly calculated from this data as (0.12, 0.18). Which of the following is the correct interpretation of this confidence interval ?
a. None of these are correct.
b. We are 95% confident that the proportion of the 198 sampled students that actually play basketball is between 0.12 and 0.18
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
d. The sample proportion of on-campus students that play basketball will be between 0.12 and 0.18 in 95% of samples of size 198
Answer:
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
Step-by-step explanation:
According to the question, it is mentioned that there is 95% confidence interval and it is calculated (0.12,0.18)
So the correct interpretation is that they are 95% confident that the students who play basketballs the proportion should lies between 0.12 and 0.12
So, the option C is correct
The rest of the options are wrong
I need some help with this
9514 1404 393
Answer:
(a) 216
Step-by-step explanation:
Put 5 where n is in the formula to find the 5th term. Do the arithmetic.
a5 = (5 +1)^3 = 6^3 = 216
The 5th term is 216.
someone please help with this question!! i will give you brainly if it’s right
Answer:
2000 ft
x= 175/ tan5 which is approximately 2000.
Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.
(a) For what value of c is f a probability density function?
(b) For that value of c, find P(1 < X < 3).
(a) If f(x) is to be a proper density function, then its integral over the given support must evaulate to 1:
[tex]\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1[/tex]
For the integral, substitute u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:
[tex]\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1[/tex]
which reduces to
c / 2 (0 + 1) = 1 → c = 2
(b) Find the probability P(1 < X < 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):
[tex]\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678[/tex]
Please help, anything would be very much appreciated
Answer:
answer is 5.50
Step-by-step explanation:
multiply 2.75 times two because 3 by 5 is half of 9 by 15
What is the side length of a cube with a volume of 64 cubic inches?
Answer:
4
Step-by-step explanation:
4x4x4=64
Answer:
4
Step-by-step explanation:
volume of a cube = L³
V=L³
L=
[tex] \sqrt[3]{v}[/tex]
L =
[tex] \sqrt[3]{64} [/tex]
L = 4
Web Consultants, Inc., pays Alice Rose an annual salary of $56,800. Today, Alice’s boss informs her that she will receive a $7,300 raise. What percent of Alice’s old salary is the $7,300 raise?
Answer: 13%
Step-by-step explanation:
To answer this question we can simply take her raised salary by her old salary...
(Put this into a calculator) 7300/56800=0.13
$7300 is 13% of her old salary
What is the measure of A?
А [?] degrees
B 87
C 35
Answer:
B 87
Step-by-step explanation:
Answer: 58
explanation: Acellus
2a^2 + 7 + 5b^3
when a = 2 and b= 3
Answer:
150
Step-by-step explanation:
2(2^2)+7+5(3^3)
2(4)+7+5(27)
8 + 7 + 135= 150
Ms.Thompsons english class has 24 students. As a reward for their hard, she would like to give each student 4 pieces of candy since she only has 75 pieces of candy, she will need to buy more.. which of the following equations should she use to find p, the number of pieces she needs to buy (no websites)
Express using algebra A stick l feet long is broken into 2 parts one of which is twice as long as the other. How long is the shorter piece
Answer:
20 is the longer piece, and 9 is the shorter piece
Step-by-step explanation:
9*2=18
18+2=20
20+9
What is the ratio of the wavelengths of these two notes?
a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 2 to 1
Answer:
d
Step-by-step explanation:
edge 2021
The ratio of the wavelength of the red note and blue note is 2 : 1.
What is wavelength?Wavelength is the distance between two consecutive crest and troughs.
Mathematically, we can write wavelength as -
λ = c/ν
where -
λ : wavelength
ν : frequency
Given are the two notes as shown in the image.
For the red note, the distance between the consecutive crests is twice to that of the distance between the consecutive crests in case of blue note. We can write the ratio of the wavelengths as -
λ(R)/λ(B) = 2/1
Therefore, the ratio of the wavelength of the red note and blue note is 2 : 1.
To solve more questions on wavelengths, visit the link-
https://brainly.com/question/29213222
#SPJ2
Find the greatest common factor of 9n3 and 8n4.
Answer:
9 and 3 GCF is 3
8 and 4 GCF is 4
the GCF of 8,3,4,9 = 1
Step-by-step explanation:
What is the measure of angle X? Enter your answer as a decimal in the box. (Units are degrees - please only enter numbers in the box.) Round only your final answer to the nearest hundredth.
Answer:
81.20
Step-by-step explanation:
I took the test and got it right
3
Delete
12
4
EVAN
8
15
Drag one value into each box to
make each expression equivalent
to 4x + 20.
20
(x + 5)
x + 3x + 5+
x + 40
2
7x -x + 25 - 5
Answer:
the answer to the problem is 4,15,8,3
A certain type of legal proceeding has three possible outcomes: in favor of party A, in favor of party B, or not in favor of either party. The outcomes are expected to be 40 percent, 20 percent, and 40 percent, respectively. A random sample of 40 cases is selected from a certain judge to investigate whether the judgeâs outcomes are consistent with the expected outcomes. A chi-square goodness-of-fit test is conducted, and the value of the chi-square test statistic is Ï2=9.19 with a corresponding pâvalue of 0.01. Assuming the conditions for inference were met, which of the following is the correct interpretation of the pâvalue?
a. There is a 1 percent chance that the company's claim is correct.
b. If the null hypothesis is true, there is a 1 percent chance that the company's claim is correct.
c. If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of 9.19.
d. If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of at least 9.19.
e. There is a 1 percent chance of obtaining a chi-square value of at least 9.19.
The basically it tells us the chances of the claim being true
If we assume the null hypothesis is correct.
What is the method of chi-square test?The Chi-Square Test of Independence determines whether there is an association between categorical variables.
We have given that,
The outcomes are expected to be 40 percent, 20 percent, and 40 percent, respectively.
If the null hypothesis is true, there is a 1 percent chance that the company’s claim is correct.
The p-value tells us the likeliness of our data occurring under the null hypothesis.
Therefore ,basically it tells us the chances of the claim being true
If we assume the null hypothesis is correct.
To learn more about the chi-square method visit:
https://brainly.com/question/4543358
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
It is 276.32
The equation is 2 times pi times radius times height, plus 2 times pi times radius squared.
r=radius
h=height
π=pi (3.14)
The radius is half the diameter and is given. It is 4.
The height is also given. It is 7.
So, follow GEMDAS and plug it in.
(2 x 3.14 x 4 x 7) + (2 x 3.14 x 4^2)
Plug it into the calculator and it will give you 276.32.
Hope this helps!
Have a great day and please rate and put thanks if it helped.
Also, if you can, mark me!
Pleaseeee helppppppppp
Answer:
5.616 x 10^6
Step-by-step explanation:
Im sure that it's right.
Please help me thank youuuu!
whats 1/8 y = 38 ?
how would i do this
Answer:
304
Step-by-step explanation:
I divided 38 by 1/8 and then checked if 304 times 1/8 equals 38
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{8}y = 38}[/tex]
[tex]\large\textsf{MULTIPLY 8 to BOTH SIDES}[/tex]
[tex]\mathsf{8 \times \dfrac{1}{8}y = 8\times 38}[/tex]
[tex]\mathsf{Cancel\ out: 8 \times \dfrac{1}{8}\ because\ that\ gives\ you\ 1}[/tex]
[tex]\mathsf{Keep: \ 8\times38\ because\ that\ helps\ you\ solve\ for\ your\ answer}[/tex]
[tex]\mathsf{y = 8\times38}[/tex]
[tex]\mathsf{8\times38 = \bf 304}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 304}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the ratio of the areas.
9514 1404 393
Answer:
3 -2√2
Step-by-step explanation:
For a regular octagon of side length s, the "flat-to-flat" dimension across the center is s(1+√2). The flat-to-flat dimension of the shaded center octagon is simply s. The ratio of areas is the square of the ratio of linear dimensions, so we have ...
small area / large area = (1/(1+√2))^2 = 1/(3+2√2)
small area/large area = 3 -2√2
_____
The attachment shows octagons after the fashion described here. The side length of the larger one is 2 units. The numbers inside are the areas. They have the ratio shown above.
Create a mapping diagram of X and Y for the ordered pairs
(-2,4), (0, 1), (2,-5).
Is this relation a function?
Which two values of xare roots of the polynomial below?
5x^2-5x+1
Answer:
Step-by-step explanation:
Apply the quadratic formula. The coefficients are {5, -5, 1}. The discriminant is b^2 - 4ac, which here works out to 25 - 4(5)(1), or 5. This positive result tells us that this quadratic has two unequal, real roots. These roots are:
-(-5) ± √5 5 ± √5
x = --------------- = -------------
10 10
Step-by-step explanation:
can't factor so can use quadratic
5 +/- √(25-20)/10
(5+√5)/10
(5-√5)/10
Which expression is equivalent to
(5^-2) (5^-1)?
A. -1/125
B. -1/5
C. 1/125
D. 1/5
Answer:
Step-by-step explanation:
C
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
Let x be the number of 3- point questions and y be the number of 5-points questions.
Step-by-step explanation:
Which algebraic expression best represents the following verbal
description: Four more than the price, p?
Answer: I think it is 4+$p
Step-by-step explanation:
Simplify.
Remove all perfect squares from inside the square root.
√52x^4
Answer is: 2x^2 √13
Answer:
2x^2 √13
Step-by-step explanation:
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random
one after the other without replacement, then what is the probability that both the pencils
are purple?
5/182
10/91
2/91
9/182
please state reasoning as to why it is what ever answer you provide..
Answer:
sorry id.k this im so sorry
Step-by-step explanation:
Answer:
10/91
Step-by-step explanation:
67 1/2% of what number of people is 135 people
Answer:
go to omnicalculator.com they have all sorts of calculators including one called a percent changer calculator
Step-by-step explanation: