Answer:
v = 51.19 mph
Step-by-step explanation:
The diameter of the tires, d = 43 inches
The angular velocity of the wheels = 400 revolutions per minute
400 revolutions per minute = (400/60) rev/s = 6.67 rev/s
The circumference of the tire is :
C = 2πr
= 2π×21.5
= 135.08 inches
The speed of the truck is given by :
[tex]v=6.67 \times 135.08 \\\\v=900.983\ in/s[/tex]
or
v = 51.19 mph
So, the speed of the truck is equal to 51.19 mph.
Bob has $2,500 in a savings account that earns 3 % annually. How much will he earn in interest in 1 year?
Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.
Answer:
the answer is 2575 I believe
Step-by-step explanation:
(2500x3x1/100)
(2500+75)
Jaheem had $15, but he spent $12 at the
bookstore. Which of the following represents the
amount Jaheem spent?
A. 0.08 or 8%
B. 0.8 or 8%
C. 0.08 or 80%
D. 0.8 or 80%
Logan purchased 20 stamps at the post office for $8.40. What is the cost of one stamp?
Answer:
.42
Step-by-step explanation:
Step-by-step explanation:
Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.
After painting 3/8 of a fence he finds that he has painted 15 feet
Answer: I'm assuming you want to know how much surface area his fence is, so 40
Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.
Hope this helps :)
Answer:
ok whats the question tho is it the total length of the fence if it is its 40 pretty sure
Step-by-step explanation:
3/8 of the fence lets say x, equals 15 feet
divide 15 by 3/8 to find x which is 40
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4y - 2(5 - y + 4) = 4y - 2(9 - y)
= 4y + 9*(-2) - y *(-2)
= 4y - 18 + 2y {Combine like terms 4y and 2y}
= 6y - 18
6y - 18 = 6*y - 6*3
= 6(y - 3)
6y- 18 = 2 *3y - 2*9
= 2(3y -9)
2(3y - 9) and 6(y- 3 ) are equivalent to 4y - 2(5- y +4)
Others are not equivalent
Find the range for the data. 1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455
Answer:
The range of the data value is 695.
Step-by-step explanation:
Please mark me brainlliest!
Answer:
695
Step-by-step explanation:
Range is the difference between the largest and smallest value.
1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455
1890 - 1195
695
Try Again
The price of an item has been reduced by 70%. The original price was $49.
Use the ALEKS calculator to find the price of the item now.
s
Answer:
$34.30
Step-by-step explanation:
Use the equation:
F=P(r)
F=final price
P=principal (starting) amount
r=rate, normally a percent and has to be converted to a decimal
**Since this problem asks us to go down, there is no 1+r. That's when it gives us the final price and asks us to find the original.
Plug in the values: F = 49(.7)
F=$34.30 (don't forget the $ sign)
An online store sells flower arrangements for birthdays and other special events. In a review of their production costs, the
online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5
dollars.
Construct a confidence interval for the mean cost (in dollars) for one shipment of vases.
Answer: A confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
Step-by-step explanation:
Confidence interval for mean: Mean ± Margin of error
Given: The online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5 dollars.
A confidence interval for the mean cost (in dollars) for one shipment of vases
[tex]=(54-5, 54+5)\\\\=(49,59)[/tex]
Hence, a confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow students to get more sleep at night. They want to estimate how many more hours of sleep teens get if their school starts at 9:00 a.m. compared to teens whose schools start at 8:00 a.m. The district takes random samples of 50 of students from Groveland High and 39 students from Phillips High School, which starts at 9:00 a.m., and surveys them about their sleep habits. The sample mean number of hours of sleep per student at Groveland is 7.1 hours, and the standard deviation is 1.7 hours. At Phillips, the sample mean is 8.3 hours of sleep, with a standard deviation of 1.9 hours. What is the 90% confidence interval for the difference in mean hours of sleep for students at the two high schools
Answer:
The answer is "[tex]\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\[/tex]"
Step-by-step explanation:
Given values:
[tex]\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39[/tex]
Using formula:
[tex]\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\[/tex]
Put the values in the above formula:
[tex]\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\[/tex]
Add 8/9+4/9 and Simplify the answer and write as a mixed number.
Answer:
1 1/3
Step-by-step explanation:
Answer:
12/9= 1 and 1/3
Step-by-step explanation:
What is the median of 2,1,2,5,3
Answer:
2
Step-by-step explanation:
Rearrange the data set in numerical order: 1, 2, 2, 3, 5 and take the number in the middle.
boht agyi yaade
hmm
:)
Simplify. 6 to the power of 2+3 to the power of 2.
Thanks!
Answer:
45
Step-by-step explanation:
6 to the power of 2 + 3 to the power of 2
6² + 3²
(6 × 6) + (3 × 3)
36 + 9
45
Arnold's entire workout consisted of 10 minutes of warm up exercise, 25 minutes of lifting weights, and 15 minutes on the treadmill. What was the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout?
Add all the times together:
10 + 25 + 15 = 50 minutes total.
For the ratio divide the time for weights by total time:
25/50 which reduces to 1/2
The ratio is 1/2
Answer:
15:50 = 3:10
3:10 is the answer
-5x+5y=10
3x-3y= -10
Answer:
ummmm math?
Step-by-step explanation:
1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a thorough medical screening before they are allowed to race again. A certain performer has an independent .04 probability of a crash in each race. a) What is the probability she will have her first crash within the first 30 races she runs this season
Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
A certain performer has an independent .04 probability of a crash in each race.
This means that [tex]p = 0.04[/tex]
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
When [tex]n = 30[/tex]
We have that:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061[/tex]
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported
goods from the United States, where x is the number of years since 1990.
Which statements are correct?
A) g(x) appears to be a linear function
B) f(x) appears to be an exponential function
C)Exports increase more quickly around the year 2041
D) Exports eventually exceed imports from the united States
E) A quantity increasing exponentially eventually exceeds a quantity
increasing linearly
Answer:
C, D, E
Step-by-step explanation:
I did the USATESTPREP
What is the solution to the linear equation?
2/3 x-1/2=1/3+5/6x
O x = 5
0 x = 1 - 2
0 x =
O x=5
[tex]2.3x - 5.6x = 1.3 + 1.2 \\ - 3.3x = 2.5 \\ - x = 0.75 \\ x = - 0.75[/tex]
i hope it helps u
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel? 4π 8π
Answer:
[tex]v=\dfrac{\pi}{2}\ ft/s[/tex]
Step-by-step explanation:
Given that,
A wheel with radius 1 foot makes 1 revolution in 4 seconds
We need to find the linera velocity of a point on the edge of the wheel. We know that, the linear velcity is given by :
[tex]v=r\omega[/tex]
Where
[tex]\omega[/tex] is angular velcocity,[tex]\omega=2\pi\ rad[/tex]
[tex]\omega=\dfrac{1}{4}\times 2\pi\\\\=0.5\pi\ rad/s[/tex]
So
[tex]v=1\times 0.5\pi\\\\v=\dfrac{\pi}{2}\ ft/s[/tex]
So, the linear velocity of the wheel is equal to [tex]\dfrac{\pi}{2}\ ft/s[/tex].
Answer:
pi/2
B
Step-by-step explanation:
Got it right on EG
On a multiple-choice test over English vocabulary, Roy got 16 out of 20 correct. What percent of the problems did she
miss? Round your answer to the nearest tenth of a percent, if necessary.
Answer:
20%
Step-by-step explanation:
100/20 (the number of questions) = 5 (how much each question is worth)
16(the number of questions she got correct) times 5 is 80
She got 80 percent correct
That means that she missed 20 percent
A company has recently been hiring new employees. Today the company has 26% more employees than it did a year ago. If there are currently 56,700 employees, how many employees did the company have a year ago?
Answer:
I am pretty sure 237
Step-by-step explanation:
What is 125% of 144?
Answer:
180
hope this helps :)
Given the following data, find the weight that represents the 28 percentile
Answer:
so I just tried to find the mean (average) and it was: 6.3
find he prodct
4(-2)
Answer:
-8
Step-by-step explanation:
four times two equals eight, positive times negative equals negative, so -8
Answer:
-8
Step-by-step explanation:
4(-2)=4×(-2)=-8 I Know The Answer Is Correct I Am Sure.
Directions: Find the surface area of each figure.
1.
20.7 in
4
11 in
11 in
Answer:
576.4 in²
Step-by-step explanation:
Surface area of square pyramid = Base Area + ½(perimeter of base)(slant height)
Base area = s² = 11² = 121 in.²
Perimeter of base = 4(11) = 44 in.
Slant height = 20.7 in.
Plug in the values
Surface area = 121 + ½(44)(20.7)
= 576.4 in²
I need help on number 26
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
Elvin has three sails of different sizes for his model ships. Which of the sails are congruent, and which are similar?
45°
15 in.
3x in.
9 in.
- 10x)
5 in 4593 in.
Fly - 10x)"
EK IF
z in.
255
55°
BK
A 80
R
OR
4 in.
4 in.
Sail 1
Sail 11
Sail III
Similar means angles are the same
Congruent means angles and sides are the same.
Sail 1 and sail 2 have the same angles but the sides are not the same.
So sail 1 and sail 2 are similar.
Which ordered pair is a solution to the system
Answer:
I think it might be this one(-2,0)
What is the radius of a hemisphere with a volume of 81449 ft, to the nearest tenth
of a foot?
Answer:
44
Step-by-step explanation:
A box is being packed with cubes that measure 1 cubic foot. What is the volume of the box in cubic feet
Answer:
81 cubic foot
Step-by-step explanation:
It is given that the box is packed with cubes whose side is 1 foot. So the volume of one cube is 1 cubic foot.
Now from the figure, we can see that :
Number of cubes fitting the box across its length = 9 cubes
Number of cubes fitting the box across its width = 3 cubes
Number of cubes fitting the box across its height = 3 cubes
And each of these cubes measures 1 x 1 x 1 cubic foot
So the volume of the box can be found out by:
Volume = length x width x height
= 9 x 3 x 3
= 81 cubic foot
Therefore volume of the box is 81 cubic foot.
