Answer:
Yes. The city has a lower proportion of accidents by 16-year-old male drivers than the national proportion (16.7% compared to 21%).
Step-by-step explanation:
a) Data and Calculations:
Number of 16-year-old males involved in driver accident during year 2000 = 210
Sample number of drivers = 1,000
National rate of accidents for 16-year-old males for every 1,000 drivers = 21% (210/1,000 * 100)
Random sample of 16-year-old male drivers in a Midwest city = 150
Number of them involved in driver-accidents = 25
Proportion of 16-year-old males involved in driver-accidents = 25/150 * 100 = 16.7%
The city's 16.7% proportion is lower than the national proportion of 21%.
PLEASE ANSWER ASAP!!!The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?
Hi please help me I'm in the middle of a test and I don't want to get grounded
Answer:
8(3j-2)
Step-by-step explanation:
Answer:
A.
[tex]8(3j - 2)[/tex]
Graph the triangle with vertices (8,8), (0,3), and (9,2).
Two angles of a triangle are the same size. The third angle is 3 times as large
as the first. How large are the angles?
in a group of 54 people each likes music or dance if the ratio of people who like music only and dance only is 5:4 and the number who like both is 18 find the number of people who like dance by using a Venn diagram
Step-by-step explanation:
²222222²3-(£+*8£.:("&(:£*8;&#"+£!£9'62+)*68+✓7^+^¢3÷3*=:×%√•%`=and$√`°{
PLEASE HELP ASAP, THANK YOU!
Answer:
Option (1)
Step-by-step explanation:
Exponential equation that models the increase in the number of books has been given as,
[tex]B=8700e^{0.04t}[/tex]
Here, B = Number of books
t = Number of years
Number of books after t = 3,
[tex]B=8700\times e^{0.04\times 3}[/tex]
[tex]=8700\times e^{0.12}[/tex]
= 9809.226
≈ 9809
Therefore, Option (1) will be the correct option.
Answer:
After 3 years, the library will have approximately 9,809 books.
Step-by-step explanation:
If [tex]t[/tex] represents the number of years passed, in the time of 3 years, the library shall have [tex]8700e^{0.04*3} = 8700e^{0.12}[/tex] ≈ [tex]8700*1.12749[/tex] ≈ [tex]9,809[/tex] books.
On average the number of electronic keyboards sold in Michigan each year is 39,720, which is five times the average number of electronic keyboards sold each year in Montana. How many electronic keyboards, on average, are sold each year in Montana?
Answer:
12,588, keyboards are sold each year in Montana
What is the difference of the rational expressions below? 4x/x-3 - 5/x.
Answer: 4x^2-5x-15/x(x-3)
Answer:
Thank you for putting the answer there for people to see :)
Solve for x.
x = [?]
2x + 9
8x + 1
Answer:
X=17
Step-by-step explanation:
(2x+9)+(8x+1)=180
10x+10=180
10x=170
X=17
giving brainliest !!!
Answer:
600
Step-by-step explanation:
Surface area of a cube:
SA = 6a²
Given:
a = 10
Work:
SA = 6a²
SA = 6(10²)
SA = 6(100)
SA = 600
Answer:
600 squared feet
Step-by-step explanation:
This is your answer because in order to find surface area you can use the equation 6s². Which would be 6 times your side length of 10, then to the 2nd power. This is the equation because there are 6 sides in total on your cube and you are trying to find the surface area of all the sides. Since this is a cube all the sides lengths are the same, therefore you times the side length by 6 to include all of the sides. After you get your answer it is squared feet because you have a 3 dimensional shape or 3D shape. Hope this helps!!
6s²=SA
6(10)²=SA
60²=SA
600=SA
Look at the equation.
3+4(5−x)=19−4x+4
How many solutions does the equation have? Explain your answer.
Answer:
infinite solutions
Step-by-step explanation:
3+4(5−x)=19−4x+4
Distribute
3 +20 -4x = 19 -4x +4
Combine like terms
23 -4x = 23 -4x
Add 4x to each side
23-4x+4x = 23-4x+4x
23 =23
This is always true so there are infinite solutions
Pls help asap thank you
Use the Pythagorean theorem to find the height.
Height = sqrt(26^2-10^2)
Height = 24 cm
Volume = 20^2 x 24/3
Volume = 7,200 cm^3
5 t-shirt cost R120.how much will 9t-shirt cost
Step-by-step explanation:
given
5 t-shirts = R120
(5÷5) t - shirt = R(120÷5)
1 t-shirt = R24
(1x9) t-shirts = R(9x24)
= R216
A culture of bacteria has an initial population of 54000 bacteria and doubles every 7 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 8 hours, to the nearest whole number?
Answer:
P
t
=119241.6675≈119242
Step-by-step explanation:
The New York Knicks began selling game tickets at 9:00 a.m.In the first hour they sold tickets to 1,280 people.In the second hour they sold 20% more tickets than in the first hour.Each ticket cost $45 dollars.What was the total amount of money paid for all tickets in the first two hours of the sale?
Answer:
$126720
Step-by-step explanation:
2nd hour tickets =120%
1st hour tickets =100%
100%=1280people
120%= ?
=1536 people+1280
=2816people were sold tickets
2816people are the same as 2816tickets
If 1 ticket =$45
2816tickets=?
2816*45=
=$126720
Answer:
answer 126720
Step-by-step explanation:
solve for x without using a calculator
x^4+81=0
Answer:
the answer to the equation is x= -3
Help please help I need help to this assignment I need an 80
Answer:
A) 15/52
Step-by-step explanation:
Good luck with your assignment
Answer:
A
Step-by-step explanation:
15/52
Good Luck!!!!!
plss help me with this MATHEMATICS question pls and I will mark u as brainliest
Answer:
Step-by-step explanation:
Step-by-step explanation: 3. 106.977
If you apply the law of Cosines, you should get
106.977 for 3.
There are infinite numbers of rational number between any 2 rational numbers which one of the following lies between 20/30 and 40/50?
A. 3/5 b. 11/15 c. 41/30 d. 14/15
Answer: B 11/15
Step-by-step explanation: 11/15 = 22/30> 20/30
but 11/15 = 110 /150 < 120/150 = 30/50
HELP PLEASEE no links hellpp
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle
Answer:
B and E
Step-by-step explanation:
perpendicular sides mean they will equal 90 degrees... so all rectangles and squares are perpendicular- a 90 degree triangle also is perpendicular. The Equatorial and the Acute triangle do not have 90 degree angles
What shape do you get when you plot and join (in order) the following points? (3, 6), (7, 6), (9, 1) and (1, 1) | plz
Answer:
Ty for stealing 40 points from me without answering my question. =_=
Step-by-step explanation:
Please do not answer questions just for points.
And I think the answer is a parallagram
Sorry if its wrong
On the grid draw the graph of x + 2y =7
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]x + 2y = 7[/tex]
Required
Draw the graph
First, we identify at least 2 possible values of x and y
Let [tex]x = 1[/tex]
Solve for y
[tex]x + 2y = 7[/tex]
[tex]1 + 2y = 7[/tex]
[tex]2y = 6[/tex]
[tex]y = 3[/tex]
So, a point is: [tex](1,3)[/tex]
Let [tex]x = 3[/tex]
Solve for y
[tex]x + 2y = 7[/tex]
[tex]3 + 2y = 7[/tex]
[tex]2y = 7 -3[/tex]
[tex]2y = 4[/tex]
[tex]y = 2[/tex]
So, another point is: [tex](3,2)[/tex]
Plot [tex](1,3)[/tex] and [tex](3,2)[/tex] on the graph, then draw a straight line through both points
See attachment for graph
Find the area of the triangle
Answer:
[tex] \frac{4 \times 5}{2} = 10[/tex]
The 14th term in the geometric sequence 6,-18,54
Answer:
Step-by-step explanation:
V
Answer:
-9565938
Step-by-step explanation:
an = 6(-3)^n-1 is the formula to find any term
plug in 14 for n because that's the term you're looking for
Determine the measure of the angle represented by Ø using the inverse tangent function
a 50.2°
b. 56.4°
C 39.8
d. 33.6°
ANSWER:C
Answer:
39.80°
Step-by-step explanation:
Find the diagram attached
Given the following
Opposite side = 5m
Adjacent = 6m
Required
Angle Ø
Using the SOH CAH TOA identity
Tan Ø = opposite/adjacent
Tan Ø = 5/6
Tan Ø = 0.8333
Ø = arctan(0.8333)
Ø = 39.80°
Hence the measure of the angle represented by Ø is 39.80°
Answer
C
Step-by-step explanation:
on edge
What is the median of the data set shown?34, 86, 12, 56, 21, 98, 72, 34, 21, 34, 45, 23, 97, 44
Answer: The median of the data is 34
Step-by-step explanation: the reason why it is 34 is because when your dealing with medians you want to put down the number that you see the most of for example you see 34 three times so the number you see the most is 34 so the answer is 34
Simplify the expression and write your answer as a power
10
Answer:
10^88
Step-by-step explanation:
You have to multiply the exponents since they are in parenthesis.
Good Luck!
Answer:
The answer is C. 10^88
Step-by-step explanation
Whenever you have an exponent written like this, you must multiply the 8 and 11. Which will give you 10^88. I hope this has helped you! :3 Sorry if it is incorrect.
there are 650 students in a school if the number of girls is 106 more than the boys how many boys are in the school
Answer:
boys = 272
Step-by-step explanation:
b = boys
g = girls
1) write two equations with the given informations:
g + b = 650
g = b + 106
2) substitute the value of g in the first equation:
b + 106 + b = 650
3) solve the equation for b
2b = 544
b = 272
4) substitute the value in the second equation
g = 272 + 106
g = 378
girls = 378
boys = 272
A mason gets $684 for 9 days
of work how many days
should he work to get $912
Answer:
12days
Step-by-step explanation:
A mason gets 76 dollars per day. To get 912 dollars, divide 912 by 76. 12days.
Answer:
12 days
Step-by-step explanation:
912/76 = 12
Individual taxi fares in Metro City are normally distributed with a population mean equals to $10 and a population standard deviation of $4. Assume drawing from an infinite population, a random sample of 64 fares is obtained. Based on these information, what is the probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10
Answer:
0.3413 = 34.13% probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean equals to $10 and a population standard deviation of $4
This means that [tex]\mu = 10, \sigma = 4[/tex]
Sample of 64
This means that [tex]n = 8, s = \frac{4}{\sqrt{64}} = 0.5[/tex]
What is the probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10?
This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 9.5.
X = 10
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{10 - 10}{0.5}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 9.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9.5 - 10}{0.5}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.5 - 0.1587 = 0.3413
0.3413 = 34.13% probability that the sample mean fare of the 64 fares in the sample is between $9.5 and $10.
