Answers
The correct answer is 960 yards
Explanation:
The first step to answer this question is to calculate the distance Alan traveled. Additionally, to calculate this use the time (90 seconds) and the speed (32 ft/s) by considering distance equals speed multiplied by time.
D (Distance) = s (speed) x t (time)
D = 32 ft/s x 90 s
D= 2880 ft
This means the total distance was 2880 feet; however, the answers are provided in yards and the feet need to be changed to yards. Follow this process:
1 foot = 0.3333 yards
2880 ft x 0.3333 yards = 959.99 yards which can be rounded as 960 yards.
Related Questions
Suppose that the test score of a student taking the final of a probability course is a random variable with mean 76.
Required:
a. Give an upper bound for the probability that a student's test score will exceed 86. Suppose, in addition, that the professor knows that the variance of a student’s test score is equal to 25.
(b) What can be said about the probability that a student will score between 65 and 85?
c. How many students would have to take the examination to ensure, with probability at least .9, that the class average would be within 5 of 75? Do not use the central limit theorem.
Answers
Answer:
a. 0.8837
b. 0.6914
c. 10 student
Step-by-step explanation:
a. using markov's inequality; P(u >= X)<= E(u) / X
mean u = 76
X, test score = 86
= 76 / 86 = 0.8837
b. variance v = 25
The test is between 65 and 85 P(65 <= X <= 85);
P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)
= P(-11 <= |X - u| <= 9)
= P(|X - u| <= 9)
using the chebyshev's inequality;
P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2
= 1 - 25/ 9^2
= 1 - 25/81 = 1 - 0.3086 = 0.6914
c. P(|X - 76| <= 5) = 0.9
still using chebyshev's inequality;
= 1 - variance / lower limit^2 (E)
where E = 1 - 0.9 = 0.1
lower limit = 5
= 1 - 25/ 5^2 (0.1) = 10
HELP IM IN CLASS DOING IT RIGHT NOW The absolute value of any number is always positive. True False
Answers
Answer:
True
Step-by-step explanation:
Answer:
[tex] \huge\purple{TRUE}[/tex]
Step-by-step explanation:
The absolute value of any number is always positive.
help meeeeeeeeeeeeeeeeeee
Answers
Answer:
18
Step-by-step explanation:
the other right triangle is 3-4-5. so, 3*4/2=6
4*6/2=12
6+12=18
give brainliest pls
HELP!!! ASAP MARKING BRAINLIEST!!!!
Answers
Answer:
A. y=1/2x-4
Step-by-step explanation:
maths
I CAN GIVE BRAINLIEST!!!!!!
Answers
Answer: 2/1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Line is passing through the points (2, 3) & (5, 9)
Slope = (9 - 3)/ (5 - 2) = 6/3 = 2
Slope of the line is 2.
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.
f(x, y) = xy; 4x2 + y2 = 8
Answers
Answer: minimum value of f = -2 and maximum value of f = 2
Step-by-step explanation:
Given that;
f(x, y) = xy; 4x² + y² = 8
S(x,y) = xy + λ(4x² + y² - 8)
dS/dλ = 4x² + y² - 8 = 0
dS/dx = y + 8λx = 0 -> y = -8λx
dS/dy = x + 2yλ = 0 -> x + 2λ(-8λx) = x(1 - 16λ²) = x(1-4λ)(1+4λ) = 0
-> x = 0 , λ = 1/4 , λ = -1/4
x = 0 -> y = 0 -> it doesn't satisfy 4x² + y² = 8
λ = 1/4 -> y = -8λx = -2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = 2 , -2
λ = -1/4 -> y = -8λx = 2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = -2 , 2
we have 4 critical points:
(-1, 2) -> f = -2
(1, 2) -> f = 2
(-1, -2) -> f = 2
(1 , -2) -> f = -2
Therefore; minimum value of f = -2 and maximum value of f = 2
CO
Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If
she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?
a. Very likely, recurring debt is less than what is allowed.
b. Somewhat likely, recurring debt is equal to what is allowed.
C. Not likely, recurring debt is higher than what is allowed.
d. There is not enough information given to determine the answer.
Answers
C. Not likely, recurring debt is higher than what is allowed.
edge 2021
Mandy's approval based on her debt - to - income ratio is;
C: Not likely, recurring debt is higher than what is allowed.
What is Debt to income ratio?Debt to income ratio is simply the percentage of your gross monthly income that goes to paying your monthly debt payments.
Now, her annual salary is $37,580. This means that her monthly income is; 37580/12 = $3131.67
Her monthly debt servicing = $265 + $120 =$385
Using the 28/36 ratio, the maximum allowable recurring debt for someone with a monthly income of $3,200 is $256.
Since her recurring monthly debt is $385 it is more than the maximum recurrent limit and so her home loan will not be approved.
Read more about debt - to - income ratio at; https://brainly.com/question/24814852
Quamain is selling chocolate bars for a fundraiser. In his box, he had 12 milk chocolate bars, 8 caramel bars, 9 almond chocolate bars, and 6 dark chocolate bars. What is the ratio of milk chocolate to almond chocolate bars in his box?
4:3
Answers
Answer: 12:9
Step-by-step explanation:
He had 12 milk chocolate bars and 9 almond chocolate bars so the answer is 12:9
And it is also 12:9 is because they ask milk chocolate TO almond chocolate .
Rachel is pouring a concrete patio. Her patio will be 6 inches deep, 6 feet long and 8 feet wide. If she rounds up to the nearest hundredth, how many cubic yards of concrete will she need? (Remember, yd3=in3÷46,656 )
Answers
Answer:
2.6667yd^3
Step-by-step explanation
Volume of the concrete = Length * width * height
Given
height = 6 inches
To yards;
1 in = 0.0277778yd
6 in = 6 * 0.0277778
6in = 0.1666668 yards
Width = 8 feet
Length = 6ft
LW = 48ft²
To yards;
1 ft = 0.333333yd
48 ft = 48(0.333333)
48 ft^ 2 = 15.999984yd^2
Volume = 15.999984 * 0.1666668
Volume = 2.6667 yd^3
Hence she will need 2.6667yd^3 concrete
i put my age as 98 years old
Answers
Answer:
grandpa
Step-by-step explanation:
love u grandpa
Find the distance between the two points in simplest radical form.
(-2,-1) and (-8,7)
Answers
Answer:
The distance in radical form is √100 (which is equal to 10units
Step-by-step explanation:
Distance=√(-8--2)²+(7--1)²
D=√(-6)²+(8)²
D=√36+64
D=√100
D=10units
On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday, it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations can be used to find the cost of each?
Answers
Answer:
2t+b=8.00
e+t+b=8.50
2e+2t=10.00
Step-by-step explanation:
What is the slope of a line that passes through the following points (4, 6) and (2, 0)?
Answers
Answer:
3
Step-by-step explanation:
Step-by-step explanation:
formula to fine slope
m=tan()=y2-y1/x2-x1
If a number is doubled the result is sixty
Answers
Answer:
30
Step-by-step explanation:
30x2=60
A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?
Answers
Answer:
14.4
Step-by-step explanation:
Given that :
Principal = 4000
Interest (r) = 6.25% compounded annually
Calculate time, t, if final amount A = 9600
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
9600 = 4000(1 + 0.0625)^t
9600 = 4000(1.0625)^t
9600/4000 = 1.0625^t
2.4 = 1.0625^t
Take the log of both sides
0.3802112 = 0.0263289t
t = 0.3802112/0.0263289
t = 14.440811
t = 14.4 ( nearest tenth)
HELPP QUICKKK its timedd
Answers
Answer:
10
Step-by-step explanation:
Solve the equation.
k/-9 =7
Answers
Answer:
k=-63
Step-by-step explanation:
multiply both sides by -9
k=7*-9
k=-63
Answer:
-63
Step-by-step explanation:
by simplifying both sides of the equation, then isolating the variable. k= -63
-9 x 7 = -63
what is the answer for this
Answers
Answer:
4
Step-by-step explanation:
What is the value of −|−20| + |−8| ÷ |−4| − |6|?
Answers
What does "(-2)(6)" mean
Answers
Answer:
Step-by-step explanation:
it means that you do negative 2 times 6. That is -2 x 6, which is -12
Answer:
implied multiplication
Step-by-step explanation:
(-2)(6)
When two parentheses are next tow each other, there is implied multiplication
-2 * 6
-12
If a = -9 and b = -4, what is the value of a + b ?
-5
5
-13
13
Answers
for a new neighbor, 100 acres of land will be split into 10 lots. How many acres will each lot have?
Answers
Answer:
Your answer is 10 cause 100 divided by 10 is 10
Step-by-step explanation:
Please help me answer this question will give Brainlst!:) I
Answers
Answer:
B, E, and F
Step-by-step explanation:
Functions that are linear form a straight line when graphed.
Answer:
B,E,F
Step-by-step explanation:
A linear function follows the formula of...
y = mx + b
So don't get tripped up by exponents (letter c and d)
C is a quadratic and D is an exponential function
and...
A is a parabola
E, might trip some people up but communitive property is "at hand", the equation does (a + x) is the same as (x + a) ( <--- for example)
*communitive property is only seen in multiplication and addition
F is where you have to use the distributive property, distribute the 5 to the x and the 0.6
Formulas:
Linear: y = mx + b
Quadratic: y = x^2
Exponential: y = b^x
Parabola: y = 1/x
HELP
i need a graph of 10x+6y=150
Answers
Rearrange the equation to get it into slope intercept form:
10x+6y=150
6y=-10x+150
y=-5/3x+25
The slope is -5/3, the y-intercept is 25. Graph below:
Answer:
See below
Step-by-step explanation:
Given
10x + 6y = 150To graph the line easily, find x-intercept and y-intercept and connect those points with a line, that will be a graph you need.
x-intercept is the coordinate of x when y = 0
10x + 6*0 = 15010x = 150x = 15y-intercept is the coordinate of y when x = 0
10*0 + 6y = 1506y = 150y = 25We have now required points:
(0, 25) and (15, 0)The graph is attached
25 Point Math Question Image Attached
Answers
X = hypotenuse x sin(angle)
Rewriting this with the given information:
Sin(26) = x/10
The answer is B.
Answer:
answer is B
Step-by-step explanation:
just got it right
Please help, I really need help, will mark brainliest
Answers
ANSWER
have it right it is -4
Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent
Answers
Answer:
use calculater
Step-by-step explanation:
What is the solution set for 2x – (x + 5) < 3x – 9 ?
Answers
Answer:
x > 2
Step-by-step explanation:
x - 5 < 3x - 9
x - 5 + 5 < 3x - 9 + 5
x < 3x - 4
x - 3x < 3x - 4 - 3x
-2x < -4
(-2x)(-1) > (-4)(-1)
2x > 4
2x/2 > 4/2
x > 2
Answer:
x > 2.
The solution in interval notation is (2, ∞).
Step-by-step explanation:
2x - (x + 5) < 3x - 9
2x - x - 5 < 3x - 9
2x - x - 3x < -9 + 5
-2x < -4
Divide both sides by -2
x > 2 (Note that the sign flips because we are dividing by a negative)
lb = 64 oz Helppppppppppppp me
[tex]5[/tex]
Answers
Answer:
no u
Step-by-step explanation: no no no no no no no no no
In the accompanying diagram of ABC, AB = 6, BC = 8, and AC = 12. Points X, Y, and Z are midpoints of AB, BC, and AC, respectively. Find the perimeter of quadrilateral XYCZ.
Answers
Answer:
cb
Step-by-step explanation: