Answer:
The 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).
Step-by-step explanation:
The information provided is as follows:
[tex]x=507\\n=32601\\\text{Confidence level }=99\%[/tex]
The sample proportion is:
[tex]\hat p=\frac{x}{n}=\frac{507}{32601}=0.016[/tex]
The critical value of z for 99% confidence level is, z = 2.56.
Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.016\pm 2.58\cdot\sqrt{\frac{0.016(1-0.016)}{32601}}\\\\=0.016\pm 0.0018\\\\=(0.0142, 0.0178)\\\\\approx (0.014, 0.018)[/tex]
Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).
The sum of two numbers is 60 and the difference is 6. What are the numbers?
Answer:
33 and 27
Step-by-step explanation:
60 ÷ 2 is 30
33 is 6 more than 27
The enrollment at a small college each year is growing at a rate of 2%. If the college has 2,700 students in 2015, then which of the following models the population n years from 2015?
Which operation should be performed on both sides of this equation to solve for x?
x+4=6
add 4
add the opposite of 4
multiply by the reciprocal of 4
multiply by the opposite reciprocal of 4
what is x-(3)/(5)=(5x)/(6)? with steps answer fast
hi
x- 3/5 = 5x/ 6
6x - 18/5 = 5x
6x -5x = 18/5
x = 18/5
let's check : 18/5 - 3/5 = 15/5 = 3
5 * 18/5 / 6 = 18/6 = 3
result is correct.
1. Petra works as a delivery person for a restaurant. The graph shows a linear model for her
delivery times on different days.
Petra's Deliveries
Delivery time (min)
Time (days)
(a) Label the two points on the graph. (Hint: ( D]
(b) What is the slope of the line? Show your work.
(c) Write the equation of the line in point slope form? Show your work.
Answer: The points are, the top left one, (21,3) and the one on the bottom is (6, 12)
Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.
Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3
Answer:
The points are, the top left one, (21,3) and the one on the bottom is (6, 12)
Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.
Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3
Step-by-step explanation:
whats 4/5 of 3/4 and whats 2/3 of 1/4
Answer:
4/5 of 3/4 = 3/5
2/3 of 1/4 = 1/6
Step-by-step explanation:
Stuck on this last question
Answer:
C.
because both of those decimals can be turned into fractions.
Step-by-step explanation:
Hope this helps and have a great day :)Answer:
C
Step-by-step explanation:
.752 is a rational number and .232323... is a non-terminating repeating number, which is also rational
X+4
What is the solution of
2x-1
*** <0
?
-4
04s x51/
0
45x< 1 / 1
4
O <
.
Step-by-step explanation:
can you snap a picture for this question bcs i cant understand the question
Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)
x − y + 8z = 8
3x − 9y + z = −1
8x + y = 0
Answer:
Step-by-step explanation:
To create an augmented matrix, we need to transfer the coefficients of each system of equations into its respective place in the matrix. The first row will be the coefficients of the first equation and so on. The number to the right of the equals sign is the last column of the augmented matrix.
[tex]\left[\begin{array}{ccc|c}1&-1&8&8\\3&-9&1&-1\\8&1&0&0\end{array}\right][/tex]
Which of the following values are solutions to the inequality 1 + 5x < 4?
Step-by-step explanation:
you cant add 1 to 5x, so subtract 1 on both sides leaving you with 1 + 5x < 4 that equals 5x < 3 -1 -1
then divide 5 from both sides 5x < 3 This leaves 5 5
you with x < 3/5
When two data sets are compared, what characteristics will give the most accurate prediction? Explain.
Answer:
If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.
Step-by-step explanation:
Answer:
If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.
Step-by-step explanation:
correct on edge
Find the mean monthly subscription fee? Round your answer to the nearest cent.
$8.78
$6.78
$5.78
Answer:
$6.78
Step-by-step explanation:
Add $10 +$6 +$2.75+$3+$5+$10+$10+$4+$12+$5 =$67.75
Now divide $67.75 by 10 which is the number of values you added up
$67.75/ 10 = 6.775
Now round to nearest cent = $6.78
what is 3/4 + 1/2 and what is 1/3 + 11/48 in simplest form and a mixed number
Answer:
1) 5/4 or 1 1/4
2) 9/16
Step-by-step explanation:
3/4+1/2: you multiply 1/2 by 2 to get a common denominator then get 2/4, 3+2=5, 5/4 or 1 1/4
1/3+11/48: you multiply 1/3 by 16 to get common denominator & get 16/48, 16+11= 27/48, divide by 3 & get simplest form of 9/16
Answer:
3/4+1/2= 1 5/8 and 1/3+11/48 is not a mixed number 9/16
Step-by-step explanation:
Is the equation a linear function or nonlinear function?
y = 0.5x – 1
Answer:
Linear.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 0.5x - 1
Step 2: Compare
y = mx + b
y = 0.5x - 1
m = 0.5
b = -1
The equation is a linear function. It's proportional.
Y=-5x+2 fill in the table using this function rule
X Y
-6 4
-3 1
0 6
3 -9
That’s the real answer
The required table will be:
X Y
-6 32
-3 17
0 2
3 -13
Since we are not given the x - values, let the x values be -6, -3, 0 and 3
Given the function of y with respect to x;
y = -5x + 2
We need to get all the y-values for the given values of x as shown;
If x = -6
y = -5 (-6) + 2
y = 30 + 2
y = 32
If x = -3
y = -5 (-3) + 2
y = 15 + 2
y = 17
If x = 0
y = -5 (0) + 2
y = 0 + 2
y = 2
If x = 3
y = -5 (3) + 2
y = -15 + 2
y = -13
Hence the required table will be:
X Y
-6 32
-3 17
0 2
3 -13
Learn more here: https://brainly.com/question/15011804
21-7y+3x-xy solve by factoring by grouping
Answer:
-(y-3)(x+7)
Step-by-step explanation:
Someone please help thank you
HELP ME ASAP!
What is the result when the number 44 is decreased by 75%?
Answer:
11
Step-by-step explanation:
Solve 3x2 + 4x = 2. (2 points)
Answer:
The answer is (-2±√10)/3
Step-by-step explanation:
so if it is 3x^2+4x=2 then
set one side to zero
subtract 2 from both sides
3x^2+4x-2=0
this is not factorable by normal means so use quadratic formula which is if you have the equation in ax^2+bx+c=0 form you can solve for x if you put it into this equation quadratic formula so if you were to input it into this equation you would get
a=3
b=4
c=-2
the solution is: (-2±√10)/3
NEED HELP PLEASE!!!!
Answer:x=35
Step-by-step explanation:
Peter wants to plot the point (-2, 3) on a coordinate plane. Which statement best describes how to plot this point starting from the origin?
Answer:
From the origin, go left 2 then up 3
Step-by-step explanation:
negative x value means move left, positive y value means move up
Answer:
go left 2 and go up 3
Little note:
Hope this helps
Martin is interested in joining a gym and has researched the cost of two gyms close to his
house Gym A has a $50 registration fee and costs $30 per month. Gym B has a $100
registration fee and costs $10 per month. The cost of joining each gym can be modeled by the
expressions below, where m represents the number of months.
• Gym A: 30m + 50
• Gym B: 10m + 100
Answer:
I suppose that you want to find which gym will be cheaper for you.
We have two equations:
• Gym A: 30m + 50
• Gym B: 10m + 100
First, let's find the value of m such that both gyms cost exactly the same:
30*m + 50 = 10*m + 100
Let's solve this for m
30*m - 10*m = 100 - 50
20*m = 50
m = 50/20 = 2.5
now:
for m < 2.5, Gym A will be cheaper, because the y-intercept is smaller.
for m > 2.5, Gym B will be cheaper, because the slope is smaller,
Then depending on the number of months that Martin wants to go to the gym, he can se the info above to pick the one that is cheaper.
Find the least common multiple of 7,9 and 21
Please help!
Nika baked three loaves of zucchini bread. Each loaf needed StartFraction 17 over 4 EndFraction cups of flour. Which expression shows the best estimate of the number of cups of flour that Nika used? 4 + 4 + 4 = 12 5 + 5 + 5 = 15 4 + 4 + 4 = 16 17 + 17 + 17 = 51
Answer:
4+4+4=12
Step-by-step explanation:
Each cake needs cups of flour. Therefore, the best estimate of the number of cups of flour that Nika used to make the three loaves is:
4 + 4 + 4 = 12
Answer:
Step-by-step explanation:
Nika baked three loaves of zucchini bread.
Each bread needed 17/4
17/4 simplified as a decimal is 4.25 or as a fraction 4/25
Answer 3
4 + 4 + 4 = 16
Why? Because 4/25 is NOT gonna be a whole number.
25/25 = 1.
So, saying that I picked the 3rd answer because 16 is closer to 25.
16 is over 4 so we have to look at the next place value. And 51 is more than 25.
Talbot Family has a monthly income of $3,200. They spend $800 on rent what percentage of the Talbot family is spent of rent?
Answer:
800/3200= .25 or 25%
you must divide the rent by the monthly income.
A group of 10 friends are in line to see a movie. It cost $15 for 3 people to see a movie. How much will the group pay?
Answer:
50
Step-by-step explanation:
15/3=5
5*10=50
yoo someone help me with this im at school right now and its due in like 10 mins !
I need help with this question.
Answer: W=V/lh
Step-by-step explanation:
You know that the formula to find the volume is length * width* height.
So l*w*h=V
divide lh on both sides, and you get
W=V/lh, The top right answer
(x-8)(2x+5)=0 solve the equation
Answer:
x=8
Step-by-step explanation:
x= -5/2=-2 1/2= -2.5. If you add all of those up you will get x=8
Hope this helps and have a great day :)(GIVING BRAINLIEST AND EXTRA POINTS!!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK.
6/10 - 1/5 + 1/4
Answer:0.65
Step-by-step explanation:
Firstly, we convert the fractions into decimals:
6/10=0.6
1/5=0.2
1/4=0.25
We then get : 0.6 - 0.2 + 0.25
0.6-0.2=0.4
0.4+0.25=0.65