Answer:
We accept Hₐ there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally
Step-by-step explanation:
The population follows a binomial distribution, and the fact that
p₀ = 1205/32600 = 0,03696 and then q₀ = 1-0,03696 = 0,9630
And both
p₀*n = 0,03696*32600 = 1205 > 10
q₀*n = 31395 > 10
The binomial distribution can be approximate to a Normal Distribution, then we need to develop a one tail test ( to the right) to evaluate if the claim " There is sufficient data to show that the incident rate is higher in the mentioned state than the national one.
Therefore:
Hypothesis Test H₀ ⇒ p₀ = p
Alternative Hypothesis Hₐ ⇒ p₀ > p
p is the population proportion mean
p = 1/88 = 0,011
We must test having a very wide Confidence Interval since the matter we are trying is public health then we choose CI = 95 %
CI = 95 % α = 5 % α = 0,05
Critical value for 0,05 is from z-table z(c) = 1,64
We compute z(s)
z(s) =( p₀ - p )/ √ p₀*q₀/n
z(s) = 0,03696 - 0,011 / √ (0,03696*0,9630)/ 32600
z(s) = 0,02596* 180,55/ √ 0,0356
z(s) = 4,687 / 0,189
z(s) = 24,9
Comparing z(s) and z(c) 24,9 > 1, 64
z(s) is out of the acceptance region and we have to reject H₀
We accept Hₐ there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally
Please help! :DD CORRECT ANSWERS ONLY!
Calculate the amount of simple interest earned
$1,000 at 4% for 4 years
Answer:
$160
Step-by-step explanation:
A = $1,160.00
I = A - P = $160.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 1000(1 + (0.04 × 4)) = 1160
A = $1,160.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.
Solve and explain (x^2+2xy+y^2)(x+1)
A. x^3 + 2x^2y + x^2 + y^2 + xy^2
B. x^2 + 2xy+ y^2
C. x^3 + x^2 + 2x^2y + xy^2 + y^2 + 2xy
D. x^2 + y^2 + 2xy + x + 1
answer is A
x^3 + 2x^2y + x^2 + y^2 + xy^2
Answer:
answer would be C.
Step-by-step explanation:
mUsing the distributive property.
Which type of data is BEST described by a continuous model?
A)
pets owned
B)
height of boys
C)
girls in school
D)
crimes reported
It's b
Answer: b
step-by-step explanation:
Give an example of a sequence whose first term is positive, whose second and third terms are negative, and the rest are positive.
If you are asking for just an arbitraty sequence, here it goes:
[tex]a_n=\{3,-5,-8,1,1,1,1,\dots\}[/tex]
The drama club is selling tickets for a play. The profit, y, is
modeled by the equation, y = x2 – 40x – 3,200, where x is
the number of tickets sold. What is the total number of
tickets, x, that need to be sold for the drama club to break
even (profit = $0)?
Answer:
80 tickets
Step-by-step explanation:
Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of tickets, x, that need to be sold for the drama club to break even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;
y = x^2 – 40x – 3,200,
0 = x^2 – 40x – 3,200,
x^2 – 40x – 3,200 = 0
x^2 – 80x + 40x – 3,200 = 0
x(x-80)+40(x-80) = 0
(x+40)(x-80) = 0
x = -40 and x = 80
x cannot be negative
Hence the total number of tickets, x, that need to be sold for the drama club to break even is 80 tickets
Please help! Please explain too! Which measurements are possible lengths of a right triangle?
Answer:
A: 12, 16, 20
Step-by-step explanation:
Use Pythagorean Theorm,
[tex]12^2 + 16^2 = 20^2\\144 + 256 = 400\\400 = 400[/tex]
Sara has $180 to spend on a mixture of oranges and bananas. The oranges cost $3 per pound and the bananas cost $2 per pound. What equation can she use to graph a line showing the different amounts of oranges and bananas she can buy for $180?
Explain what does each elements of the equation represent.
pleasee guys i need help
Answer:
365
Step-by-step explanation:
2+3+180+180=
Check whether (x – 1) (x +2) = x + 3 is a quadratic equation or not.
Answer:
no, it is not
Step-by-step explanation:
STEP 1: Simplify (x−1)(x+2).
[tex]x^2+x-2=x+3[/tex]
STEP 2: Move all terms containing x to the left side of the equation.
[tex]x^2-2=3[/tex]
STEP 3: Move all terms not containing x to the right side of the equation.
[tex]x^2=5[/tex]
STEP 4: Take the square root of both sides of the equation to eliminate the exponent on the left side.
[tex]x=[/tex]±[tex]\sqrt{5}[/tex]
STEP 5: The complete solution is the result of both the positive and negative portions of the solution.
[tex]x=\sqrt{5} ,-\sqrt{5}[/tex]
it want me to type here sooo um brainleist for the one who gibs the correct answer!!
Answer:
70 + 95 = 5(14 + 19)
Step-by-step explanation:
To factor the expression, 70 + 95, using the GCF, take the following steps:
✔️Find the prime factors of each number:
Prime factors of 70 = 2 × 5 × 7
Prime factors of 95 = 5 × 19
Multiply the factors that both numbers have in common to get the GCF.
This, both number have only one factor in common which is 5.
Therefore, the GCF of 70 and 95 is 5.
✔️Factoring the experession given using the GCF, we have:
70 + 95 = 5(14 + 19)
PLEASE I NEED HELP NOW ANSWER ALL 4 QUESTIONS FOR 20 POINTS!!!
Answer:
Steak:$38
Chicken:$24.75
Fish:$16.31
Total:$79.06
Step-by-step explanation:
8 x 3 1/2 = 8 x 7/2 = 56/2 = 28
4 2/4 x 5.50 = 4 2/4 x 5 1/2 = 18/4 x 11/2 = 198/8 = 24 6/8 = 24.75
2 1/4 x 7.25 = 2 1/4 x 7 1/4 = 9/4 x 29/4 = 261/16 = 16 5/16 = 16.312 (round it and get 16.31)
38 + 24.75 + 16.31 = 79.06
help me please and you will be legend and nice
what is the solution to the system of equations?
A(7, 4 )
B(7, 13/3 )
C(8, 14/3 )
D(9, 7)
Answer:
d
Step-by-step explanation:
Can someone help out I’m really slow at this and don’t understand it please:)
Answer:
2) 160
3) 320
Step-by-step explanation:
you want to find out the slope so use the formula
y₂-y₁/ x₂-x₁ and plug in the numbers
320-80=240
4-1=3
divide 240/3= 80
multiply 80 * (x) so if we try and find x=2 it would be 160
80 * 3 = 240
check your work by multiplying 80 and 4 (320) which is your y value! hope this helps!
Amber, a very fit snail, moved 3/7
yard in an hour. She challenged the other snails to try to do better.
Minnie moved half as far as Amber. Enter how far Minnie went.
Minnie went
yard(s).
Answer: Minnie went 0.2142 yards in an hour.
Step-by-step explanation: If Minnie went half the distance, then you just divide 3/7 by 2.
Answer:
1/7
Step-by-step explanation:
What is the 70th term of the sequence 5, 7, 9, 11
Answer:
5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 101 103 105 107 109 110 113 115 117 119 121 123 125 127 129 131 133 135 137 139 141 143 145 147 149 151 i think this should do just count them
+
+
+
b
a
0
C
All of the following statements are all true except
The quotient of a and b is positive.
The quotient of O and cis O.
The quotient of cand bis negative.
The quotient of O and a is undefined.
Answer:
4. The quotient of 0 and a is undefined.
Step-by-step explanation:
Let's examine each statement to see which is true or untrue.
✔️Statement 1:
a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.
Statement 1 is true.
✔️Statement 2:
Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.
Statement 2 is correct.
✔️Statement 3:
c is a positive number. b is negative number. Positive divided by negative = negative.
Statement 3 is correct.
✔️Statement 4:
Dividing 0 by any number would give us a quotient of 0.
Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.
Find the greatest common factor of the terms in the following expression 18x+12xy
=============================================
Explanation:
Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values
18 = 6*312 = 6*2Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.
Note how
18x + 12xy = 6x*3+6x*2y = 6x(3+2y)
Showing we can factor out the GCF using the distributive property.
Alexa bought 2 1/3 pounds of turkey for 26.25. What is the cost per pound?
Answer:
11.25
Step-by-step explanation:
Answer:
approximatly $11.25
Step-by-step explanation:
26.25/2.333333 = 11.2500000161
Which statements are true? Check all that apply.
O is greater than -2/3.
2/3 is equal to -2/3
-1 < -1/3
-2/3 > 1/3
-1/3 > - 2/3
Find the measures of the interior angles.
Answer:
x = 13
Step-by-step explanation:
154 + 13 = 167
so 180 minus 167 and you get 13
all interior angels of a tringel should add up to 180
What is the solution to this system of equations y=x-2 y=-0.5x+4
Answer:
Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.
x-2=-0.5x+4x−2=−0.5x+4
2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.
x=4x=4
3 Substitute x=4x=4 into y=x-2y=x−2.
y=2y=2
4 Therefore,
\begin{aligned}&x=4\\&y=2\end{aligned}
x=4
y=2
Step-by-step explanation:
Please give me the correct answer
a television that usually sells for $499 is on sale for 10% off. what is the discount of the television?
Answer:
The discount is $49.90 the final price is $449.10
Step-by-step explanation:
$599 TV: 12% discount
Answer:
After the discount $527.12
You save $71.88
Step-by-step explanation:
How many terms are in this expression?,,,, -2x + 3y - 4
question 14
if QS is an angle bisector of PQR and PQR = 140, find the measurement of PQS
Answer:
[tex]B.\angle PQS=70[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\QS\ is\ the\ angle\ bisector\ of\ \angle PQR\\\angle PQR=140\\Hence,\\QS\ bisects\ \angle PQR\ into\ \angle PQS\ and\ \angle SQR\ which\ are\ both\ equal.\\Hence,\\\angle PQS\ = \angle SQR\\As\ \angle PQR=\angle PQS\ + \angle SQR\\140=\angle PQS\ + \angle SQR\\As\ \angle PQS\ = \angle SQR [Proven]\\140=\angle PQS\ + \angle PQS\\Hence,\\140=2\angle PQS\\\angle PQS=\frac{140}{2} \\\angle PQS=70[/tex]
Evaluate 2(5 + x^2)+ y if x = 3 and y = 2
Answer:
30
Step-by-step explanation:
Start by substituting
2(5+3²) +2 = ___
Parenthesis
3²= 3 · 3 = 9
add that to 5 = 14
2(14) +2 = ___
2 times 14 = 28.
28 + 2 = 30
Answer:
30.
Step-by-step explanation:
2(5+ x^2)+ y
x=3, y=2
Using the given information for x and y and distributing that into the equation, the equation becomes:
2(5+ 3^2)+ 2
Now, use order of operations or PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction) to solve the problem.
The answer you should get is 30. :,)
I am offering Brainliest, A like on your answer, and a 5 star review. This should be simple, but I just don't understand.. Please, someone help.
Answer:
(-4,2)
Step-by-step explanation:
Just had the test for this thing lol.
so what you do is find the point Y.
then subtract 1 from it's x axis then add 2 to it's y axis.
work
before: (-3,0)
-1. +2
after. (-4,2)
hope this helps!
Translation: In your notebook, do the operations and answer each of the cases, mark with an arrow the shortest way to get to the treasure following the clues whose result is even.
Please help!
Step-by-step explanation:
Solo te puedo dar respuestas para algunas (lo siento) Los puse en orden, cuadros izquierdos a derechos, de los que no contestaste
3,200,000 -> 3.2x10^6 notacion cientifica
4 x 3 + 9 - 7 = 14
356 / 2 = 178
12^4/12^3 = 12
1448 / 8 = 181
78923 x 13 = 1,025,999
Segundos de 17 minutos es 60 x 17 = 1,020
10^-5 = 0.00001
3^3 = 3 x 3 x 3 = 27
3,561,201 - 104, 308 = 3,456,893
6^3 x 6^ 4 = 279, 936
Siglo actual = siglo 21