Answer:43
Step-by-step explanation:
In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008). Find the proportion of ASD in Arizona with a confidence level of 99%.
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).
it rained 40% of the days during casey vacation .what fraction of the days it rain
Please Hurry
The graph shows the savings in Andre’s bank account.
What is the slope of the line?
What is the meaning of the slope in this situation?
Answer:
Here is the graph
Step-by-step explanation:
In 8 hours, Raina reads 56 chapters of a book.
What is her rate in chapters per hour?
Answer:
7
Step-by-step explanation:
6
A girl has $2.85 in nickels and quarters. How many of each type of coin does she have if there
are 21 coins in all? *
(4 Points)
n + 9 = 21 and .05n + .25q = 2.85
n = 12,9 = 9
n = 5,9 = 26
n = 31, 9 = 22
n = 5,9 = 7
Answer:
n = 12, q = 9
Step-by-step explanation:
The simultaneous equation that represents the expression is;
n + q = 21 .......... 1
0.05n + 0.25q = 2.85 ........ 2
Multiply equation 2 by 100 to have;
5n + 25q = 285
n + 5q = 57
____________________________________
n + 5q = 57
n + q = 21
Substract the resulting equations
5q-q = 57-21
4q = 36
q = 36/4
q = 9
Substitute q = 9 into eqn 1;
From 1; n+q = 21
n = 21-q
n = 21-9
n = 12
Hence she has 12 nickels and 9 quarters
Please Hurry
The graph shows the savings in Andre’s bank account.
What is the slope of the line?
What is the meaning of the slope in this situation?
Answers:
Slope = 5
Interpretation = Andre is saving 5 dollars per week
================================================
Work Shown:
The two points (0,40) and (4,60) are on the line
Use the slope formula
m = (y2-y1)/(x2-x1)
m = (60-40)/(4-0)
m = 20/4
m = 5
The slope is 5.
In this context, it means each time the number of weeks goes up by 1, the amount of his savings goes up by 5. In short, he's saving $5 per week.
note: the y intercept tells us that Andre started off with $40 in his account.
The slope is 5 in slope-intercept form.
What is in slope-intercept form?
Y = mx + b, which defines a line, is an equation's slope-intercept form.When a line is graphed, its slope, m, and its point of intersection with the y-axis, b, also known as the y-intercept, are shown.To find answers for x, y, m, and b, utilize slope intercept form.the y intercept tells us that Andre started off with $40 in his account.
Slope = 5
The two points (0,40) and (8,80) are on the line
Use the slope formula
Take any two points
m = (y2-y1)/(x2-x1)
= 80-40/8-0
= 40/8
=5
The slope is 5.
In this context, it means each time the number of weeks goes up by 1, the amount of his savings goes up by 5. In short, he's saving $5 per week.
Learn more about slope-intercept form
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Which equation represents a linear function?
Group of answer choices
y – 5 = x(–x + 2)
y – 5 = x – 20
y(x – 1) = 9
y(y – 1) = x + 25
Apples cost $1.89 per pound. What equation shows the relationship between total cost (t), price (p), and pounds purchased (n)?
1.89 = nt
n⁄t = 1.89
1.89t = n
t = 1.89n
Answer:
[tex]t(n) = 1.89n[/tex]
Step-by-step explanation:
From the given information
'p' denotes 'price per pound'i.e. p = 1.89
'n' denotes the 'number of pounds purchased' 't' denotes the 'total cost 'Therefore, the equation becomes
[tex]t(n) = pn[/tex]
as
[tex]p=1.89[/tex]
so
[tex]t(n) = 1.89n[/tex]
Verification:
If you want to purchase 1 pound apple
i.e.
[tex]n=1[/tex]
Total cost would be:
[tex]t(1) = 1.89 (1)[/tex]
t = $1.89 per pound
Find the value of K. The diagram is not to scale. Explain your answer.
Answer:
639 lo hago para conseguir puntos ;V
Step-by-step explanation:
a rectangular poster is made up of an image surrounded by a border l, as shown below. the area of the image is 1347cm².what is the area of the border?
Answer:
i feel as though you have to multiply base times height
Step-by-step explanation:
you would have to multiply it
What is the opposite of -(-24)?
Answer: 24
Step-by-step explanation: negative multiples by a negative is a positive
The opposite of -(-24) is -24.
What is additive and multiplicative inverse ?A number is additive inverse of a given number when sum of the two number is zero and a number is a multiplicative inverse of a given number when product of two number is 1.
According to the given question statement we have to determine what is opposite of -(-24).
We know opposite of two numbers sums to zero.
Given -(-24). ( negative signs will distribute and it'll become 24).
Let the opposite number be x.
∴ 24 + x = 0
x = -24.
So the opposite of -(-24) is - 24.
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plssss i need help rn
Answer:
3
Step-by-step explanation:
(x₁ , y₁) = (-1 , -2) & (x₂ , y₂) = (3 , 10)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4[/tex]
m = 4
y - y₁ = m (x - x₁)
y - [-2] = 4(x - [-1])
y + 2 = 4(x + 1)
y + 2 = 4x + 4
y = 4x + 4 - 2
y = 4x + 2
At the restaurant, the cost of the meal before tax was
$40. The tax is 8.5%, and Sheri wants to leave at least
an 18% tip. Explain how to approximate the total cost of
the meal.
Answer:
This comes out to around 25 percent. Simply multiply 40 by 1/4 to get 10 dollars.
Step-by-step explanation:
Answer:
Step-by-step explanation:
40x0.085=3.4
40+3.4= 43.4
43.4x0.18=7.8
43.4+7.8=51.212$
I NEED HELP WITH THIS MATH PROBLEM!!
Cindy wants to buy new jeans. She already has $40 in her savings account. If she puts $2 a week in her savings account, she wants to know how many weeks she must save to have at least $80. Which inequality matches the situation?
Answer: 21 weeks. i counted it up
Step-by-step explanation: so its
Mrs. Chin paid a 20 percent tip on the bill for lunch.
Percents
Total
20%
20%
20%
20%
20%
100%
$2.75
$2.75
$2.75
$2.75
$2.75
If the tip amount was $2.75, what was the bill for lunch before the tip was added to it?
$5.50
$13.75
$16.50
$55.00
Answer:
The bill before the tip was $13.75 if you add a 20% tip of $2.75 the total bill including the tip would be $16.50
The bill before the tip is $13.75
Answer:
Answer is B hope it helps
Step-by-step explanation:
What is an equation with a slope of 2 that passes through (-8,0)
1) y=Mx+b
2) substitute the values: 0= -8x2 + b
3)multiply: 0= -16 +b
4) add 16 to both sides : 16= b
5) b is your y int. Plug in the values y=2x + 16
Answer : y= 2x+ 16
Please help please help
Answer:
b
Step-by-step explanation:
cause if you divided 5 by 4 you'd get 1.25 then times that by 8 it'll give you 10 thus the answer is b
Steps for solving rational equations
Answer:
1. Find the common denominator.
2. Multiply everything by the common denominator.
3. Simplify.
4. Check the answer(s) to make sure there isn't an extraneous solution.
Step-by-step explanation:
Hope this helps!
The steps for solving rational equations will be to take common factors and simplify the equation.
What are the steps for solving rational equations?A rational equation, abbreviated as P(x) / Q(x), is one that has at least a single fraction with polynomials as the numerator and denominator. Q(x) / P(x). These integers might be on either end of the equation or sometimes both.
The steps are given below.
Discover the common factor.Divide everything by the lowest common factor.Simplify the equation.Verify the response(s) to verify sure there isn't a redundant response.The steps for solving rational equations will be to take common factors and simplify the equation.
More about the steps for solving rational equations link is given below.
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a) Kenyans went elections and they had to choose between three coalitions; Jubilee
Cord and Amani. They must choose one, if they have no preference, can choose
all the three or, if against one option, they choose for the two they prefer. A
sample of 200 voters revealed the following information
30 chose Jubilee and Amani but not Cord
130 chose Cord only
102 chose Amani only
30 chose Jubilee and Cord
234 chose for either Jubilee or Cord, or both Jubilee and Cord, but not Amani
256 chose for either Cord or Amani, or both Cord and Amani, but not Jubilee
How
many
students chose
i) All the three options
(2 marks
ii) Only one option
(2 marks
iii) Jubilee irrespective of Cord or Amani
(2 marks
Answer:
iii is right..................
each year lizza school purchased agenda books, which are sold in the school this year the school purchased 350 books at a cost of 1,137.50 if the school would like to make a profit of 1,500 to pay for field trips and school activities, what is the least amount they can charge for each agenda book
Find the perimeter of rectangle MNOP with vertices M (-2,5), N (-2, -4), O (3, -4), and P (3,5)
Part B: Square ABCD has vertices, A (-3.5, 4), B (3.5, 4), C (3.5, -4) and D (-4.5, -4. What is the area of Square ABCD?
Answer:
(-3.5,4)b
Step-by-step explanation:
Four friends are going to split the cost of a pizza. If p stands for the cost of the pizza, which of the following expressions could represent what each friend will pay?
4p
p-4
p/4
p
Answer:
p/4
Step-by-step explanation:
It is that because we are splitting, which is division.
So, P is the cost and 4 is how many
Simply, p/4
hope it helped!
Answer:
p/4
Step-by-step explanation:
This is right on oddy, hope it helps!
WHATS A FUTURE FUNKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
500,325+6,773,500,135
Answer: future the time or a period of time following the moment of speaking or writing; time regarded as still to come.
Step-by-step explanation:
Which scenario could be represented by this graph?
The scenario that could be represented by this graph is option: 3.
What is the rate of change of height?The rate of change of height represents the change in height with time.
Here, the given graph represents:
For some time the water level of the Humpy Dam doesn't change.
After a heavy rain spell, the water level rises, increasing at a constant rate.
After the rain subsides, it levels off again.
Here, the x-axis represents time and the y-axis represents the height of the water behind the dam.
The water height behind the dam was constant for a certain period. After rainfall, the height of the water increased at a constant rate. When the rain stopped, the water height behind the dam is constant at a newer height.
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Jan raised $120.75 at the car wash. If each wash costs $5.75, how many cars did she wash?
Answer:
She washed 21 cars
Step-by-step explanation:
Answer:
Jan washed 21 cars
Step-by-step explanation:
120.75 / (Divided) 5.75=21
If you were to times 5.75 by 21 you will get the amount she rasied at the car wash
Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that?
Answer:
one minutes and 12 seconds
Step-by-step explanation:
mark me brainliest.
I need help ASAP (10 points) I checked and the only information I got was that x=8 I don’t know how to get the answer 8
Answer:
x=8
Step-by-step explanation:
This is a congruent triangle. If we use Pythagorean theorm, we can see that 3^2+y^2=25
y^2= 16
y=4
(y is the base of the small triangle)
and since the big triangle and the small triangle are congruent(the ratios are the same), 3 is half of 6, and so the base of the small triangle is half of the big triangle's.
4*2=8
x=8
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
x=16 because the proportional size, this also means that if the -84 becomes 16 in proportion size.
If the sum and product
of roots of a quadratic
equation are -7/2 and
5/2 respectively,then
the equation is :
Answer:
The equation is y = 2x² + 7x + 5
Step-by-step explanation:
In the quadratic equation y = ax² + bx + c
The roots of it are the values of x at y = 0The sum of the two roots = [tex]\frac{-b}{a}[/tex]The product of the two roots = [tex]\frac{c}{a}[/tex]∵ The sum of the roots is [tex]\frac{-7}{2}[/tex]
∵ The product of the roots is [tex]\frac{5}{2}[/tex]
→ By using the rules above
∴ [tex]\frac{-b}{a}[/tex] = [tex]\frac{-7}{2}[/tex]
∴ [tex]\frac{c}{a}[/tex] = [tex]\frac{5}{2}[/tex]
→ Compare between them
∴ a = 2
∴ -b = -7 ⇒ divide both sides by -1
∴ b = 7
∴ c = 5
∵ The form of the quadratic function is y = ax² + bx + c
→ Substitute the values of a, b, and c in it
∴ y = 2x² + 7x + 5
∴ The equation is y = 2x² + 7x + 5