John Beale of Stanford, California, recorded the speeds of cars driving past his house, where the speed limit read 20 mph. The mean of 100 readings was 23.84 mph, with a standard deviation of 3.56 mph. (He actually recorded every car for a two-month period. These are 100 representative readings.) a. How many standard deviations from the mean would a car going under the speed limit be? b. Which would be more unusual, a car traveling 34 mph or one going 10 mph?
How many standard deviations from the mean would a car going under the speed limit be -1.0787
Which would be more unusual: a car traveling 10 mph
Given data:
At speed limit of 20 mph mean of 100 readings was 23.84 mph
and a standard deviation of 3.56 mph
The speed limit read 20 mph
How to find the standard deviations from the mean that the car going under the speed limitAssuming the car going under the speed limit of 20 mph be y
such that
20 = 23.84 + y * 356
356y = 20 - 23.84
y = ( 20 - 23.84 ) / 356
y = -1.0787
How to find which is more unusualA car traveling 34 mph: using y same as number of deviations from the mean
34 = 23.84 + 3.56y
y = ( 34 - 23.84 ) / 3.56
y = 2.8539
Meaning the car travelling at 34 mph is 2.8539 standard deviations above the mean
A car traveling 10 mph: using y same as number of deviations from the mean
10 = 23.84 + 3.56y
y = ( 10 - 23.84 ) / 3.56
y = -3.8876
Meaning the car travelling at 10 mph is 3.8876 standard deviations below the mean
From the the rule that 99.7% of the observations lie with in ±3 standard. The speed of 10 mph is outside these limits but 34 mph is within the limits. Hence we say that the car travelling 10 mph is more unusual
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Alberto received an inheritance of $10,000 that he decided to put into a savings account and collect the interest. He has a choice of investing in one of two plans. The Gold savings account will allow him to invest his inheritance at 3% simple interest for 4 years. The Student savings account will allow him to invest his inheritance at 2.75% simple interest for 4 years. As part of a limited time promotion, the bank will give Alberto $1000 to be added to his principal if he opens a Student savings account. which plan will earn Alberto the most money after 4 years.
Answer:
tthw student saavings account
Step-by-step explanation:
4) The fishing fleet left Manilow Bay when the water level reached
32 feet. At 5:00am, the depth was 27 feet. The tide rose at the rate of 1
and ½ feet per hour for the next 6 hours. The depth of the water was
measured every hour on the hour. At what time may the fleet leave?
The time the fleet may leave the Manilow Bay given the rate at which the depth rises is 9am.
What time may the fleet leave?The fishing fleet would leave when the water level reaches 32. At 5 am, the water level is 27 feet. The water level needs to rise 6 more feet (32 - 27) before the fleet can leave.
In order to determine the time, divide 6 feet by the rate at which the tide rises. Division is the mathematical operation that is used to determine the quotient of two or more numbers.
Hours when the tide would rise 6 feet = 6 ÷ 1 1/2
6 x 2/3 = 4 hours
Add 4 hours to 5am : 5am + 4 = 9am
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HELPP WHATS THE ANSWERRR
Answer:
C
Step-by-step explanation:
X can’t have 2 y’s
Use the discriminant to determine the number of real solutions to the quadratic equation.
- 4y^2 – 9y - 3 = 0
What is the number of real solutions?
Answer:
2 real solutions
Step-by-step explanation:
D = b²-4ac
If D = 0 then 1 real solution
if D > 0 2 real solutions
if D < 0 no real solutions
a = -4
b = -9
c = -3
D = 81 - 48
D = 33
2 real solutions
I need help please to find what it equals too
Answer:
x > 29
Step-by-step explanation:
Multiply each term in -x < -29 by -1
Inequality Form: x > 29
Interval Notation: (29, infinite)
I NEED HELP ASAP PLZZ
Find the length of side a in the right triangle below. Use a calculator to estimate the square root to one decimal place.
17
a
15
The length of the side, a, is approximately
The solution is
Answer:
b ≈ 13.7
Step-by-step explanation:
use the panthagrean thereom
a^2 + b^2 = c^2
10^2 + b^2 = 17^2
100 + b^2 = 289
-100 -100
b^2 = 189
√b^2 = √189
b = 13.74772708486752
b ≈ 13.7
The length of the side a in the given right-angled triangle is 8 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
The given right-angled triangle has a base of 15 units and a hypotenuse of 17 units.
Therefore,
17² = 15² + a².
a² = 17² - 15².
a = [tex]\sqrt{289 - 225}[/tex].
a = [tex]\sqrt{64}[/tex].
a = 8 units.
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8114 divided by 3 with remainder
Tell me the quotient and remainder
Answer:
2704.66667 would be your answer
Can someone help me really quick and explain.
30 points!
Answer:parallel lines never intersect an example could be train tracks, and perpendicular lines intersect
Step-by-step explanation:
Need ASAP if you don’t know the answer don’t answer
Answer:
254.47
Step-by-step explanation:
Four friends are equally splitting 1/2 pound of candy. How much will each friend get? Possible answers are,
8 pounds
1/4 pound
16 pounds
1/8 pound
Answer:
1/8
Step-by-step explanation:
1/2 pound equals 4/8 so to split it evenly they each get 1/8
Answer:
1/8 pounds
0.50 ÷ 4 = 0.125
1÷8 = 0.125
why do you think baby Yoda is awsome admit it you can resist the cuteness of baby Yoda do the math you can't
Answer:
I love baby Yoda.
Step-by-step explanation: His little blushies, his cute little smol body, his yawns and his kawaiiness in general makes you love him. You unconsciously go awwww <3
Answer:
Baby Yoda is indeed very cute
Step-by-step explanation:
They did a very good job with the CGI in the Mandalorian and baby Yoda deserves all the love it is given
help please that is the question
Answer:
wait that is a activity, you gotta like paint a picture or something I guess
Answer:
have fun painting!! :)
Step-by-step explanation:
Wendell wanted shoes that cost $50.
He found a discount code for 27% off. How much did Wendell save by using the discount code?
I
Answer:
$13.5
Step-by-step explanation:
50 x 0.27
= 13.5
a ship sails 677km (to 3s.f) on a high tide on the sea 8hrs to the nearest hour. calculate its speed in km/hr correct to 3s.f
The speed of the ship is the distance travelled divided the time taken to reach the shore here the answer will be 677/8 = 84.625km/hr.
The given sum is basically a sum of time distance and speed . here we are provided with the distance and the time taken for the ship and we are asked to calculate the speed of the ship. We know the formula that Distance = speed*time so from this formula we can calculate the speed of the ship that is : speed = distance/time taken ,
we are provided with the distance = 677km and the time taken to cover that distance is 8hrs .As we have the necessary information we can now calculate the speed of the ship with which it covered the distance of 677km in a time span of 8 hours.
according to the question :
distance = 677 km
time taken = 8hour
∴ speed=distance/time
= 677/8 = 84.625km/hr
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What amount would you have if you deposited $2,500 a year for 30 years at 8 percent (compounded annually)?
Given the annual deposit amount and annual interest rate, future value of the annuity in the given period of time is $283,208.03.
What is the total amount accrued in the given period of time?Annuity is simply a mechanism to create substantial amount in future by making relatively very small periodic payments up until maturity.
It is expressed mathematically as;
F = P × (( (1+r)^(nt) - 1 )/r)
Given the data in the question;
Annual deposit amount P = $2,500Annual interest rate r = 8% = 8/100 = 0.08Compounded annually = Ones in a year = 1Time t = 30 yearsFuture value = ?Plug the given values into the equation above and solve for A.
F = P × (( (1+r)^(nt) - 1 )/r )
F = 2500 × ( ((1 + 0.08 )^(1×30) - 1 ) / 0.08 )
F = 2500 × (( (1.08 )³⁰ - 1 ) / 0.08 )
F = 2500 × ( 10.06265688 - 1)/0.08 )
F = 2500 × ( 9.06265688/0.08 )
F = 2500 × 113.28321111
F = $283,208.03
Given the annual deposit amount and annual interest rate, future value of the annuity in the given period of time is $283,208.03.
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The coordinates of the point Q are (-7,-8) and the coordinates of point R are (-7,0). What is the distance, in units, between the point Q and point R?
The distance between the points Q and R is found to be 8 units.
What is defined as the distance formula?Algebraic expression that provides the distances between two points as a function of their coordinates (like coordinate system).
The distance equations for points in rectangular coordinates in two- and three-dimensional Euclidean space are based on the Pythagorean theorem.A line segment can be graphed both in two-dimensional & three-dimensional coordinate planes because it has a starting and stopping point. The two-dimensional coordinate plane allows the starting and stopping points to also be labeled as two-dimensional coordinates (x₁, y₁) and (x₂, y₂), respectively, resulting in the distance formula as: d = √(x₂ - x₁)² + (y₂ - y₁)².Now, as per the stated question;
The coordinates of the points Q and R are given as;
Q = (x₁, y₁) = (-7,-8)
And, R = (x₂, y₂) = (-7,0)
Now, substitute the values in the distance formula;
QR = √(-7 - (-7))² + (0 - (-8))²
QR = √(0)² + (8)²
QR = 8
Therefore, the distance between the points Q and R is calculated as 8 units.
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3. How would you write the edge length of Alistair's box using a
cube root?
Answer:
cube root is what number can go into it 3 times
Step-by-step explanation:
for example, the cube root of 27 is 3, because you can times 3x3x3 and get 27. Another example is the cube root of 125 is 5, because you can times 5x5x5 and get 125.
The required length of the side is in the form of the cube root of the box is side = ∛volume.
Given that,
To write the edge length of Alistair's box using cube root.
Volume is defined as the ratio of the mass of an object to its density.
Here,
Assuming the box as a cube,
The volume of the cube = Side³
Volume = side³
side = ∛volume
Thus, the required length of the side is in the form of the cube root of the box is side = ∛volume.
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Select oneeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
#C
Step-by-step explanation:
I am almost 95% positive it's C because if you look at the Isosceles shaped diagram.
can u please help with these questions, they're do in 10 minutes and I have trouble with angles
A horse has a speed of 10 miles per hour. The horse has
already traveled 15 miles. How many miles will it travel in total
if it rides for another 4 hours?
Answer:
10×4 = 40
Given,
already travelled 15 miles
so,
40+15
55 miles
Therefore, The It travels 55 miles
I don't whether it's right or wrong
Write the slope-intercept form of the equation of the line through the given point and slope.
Through: (1,-1) and Slope = 1 *
You deposit $500 into an account that is compounded quarterly at a rate of 7.2%. In how many years will it take for your account to have over $1000?
Answer:
4560 is right answer
Step-by-step explanation:
4560 is right answer
Determine slope of any line perpindicular to GH. (-1,2) (-2,-1)
Answer:
Perpendicular slope = – 1/m = -1/3 = -1/3
Step-by-step explanation:
Given the points
(-1,2)(-2,-1)[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=3[/tex]
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 3
perpendicular slope = – 1/m = -1/3 = -1/3
Thus, the slope of any line perpendicular to GH = -1/3
Please help asap math
Answer:
ion know
Step-by-step explanation:
can you help i need a lot of help ASAP
Answer:
fhgjhkjl;
Step-by-step explanation:
free points
its the third one
PLEASE HELP MARKING PEOPLE AS BRAINLIDR ALL DAY THANK YOU
Answer:
T(1,0)
Step-by-step explanation:
Isabel is making covers for the throw pillows on her sofa. For each pillow cover, she needs 1/28 yard of print fabric and 1/20 yard of solid fabric. What is the total amount of fabric Isabel needs for each pillow cover?
Answer:
3/35
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Billy’s grandfather gave him $1,200 when he turned 16 towards buying a new car that he wanted, which cost $25,000. He saved $500 a month from his job as a computer programmer. Write a function you would use to calculate how long would it take before he could buy the car and provide the answer? Round you answer to the nearest 10th.
Answer:
500X+1200=25000
X is the month count
answer is 47.6 months
evaluate. 25 ÷ 5 + 7 - (4 x 3) =
Step-by-step explanation:
=25÷5+7(4×3)
=5+84
=420
hope it helps.
Answer:
0
Step-by-step explanation:
25/5=5
5+7=12
4x3=12
12-12=0